diff --git a/README.md b/README.md index a3579a1..22de29b 100644 --- a/README.md +++ b/README.md @@ -4,7 +4,8 @@ This repository contains notebooks showing how to fit Myokit models to data usin A part on fitting AP models is planned, but for now the repository contains: -- A [set of notebooks](ion-currents/README.md) showing how to fit kinetic parameters of ion current models. +- A series of notebooks showing how to [fit kinetic parameters of ion current models](ion-currents/README.md), +- and how to include the [amplifier electronics](artefacts/README.md) in models of patch clamp experiments. ## Requirements diff --git a/artefacts/NOISE.ipynb b/artefacts/NOISE.ipynb new file mode 100644 index 0000000..5be9fe4 --- /dev/null +++ b/artefacts/NOISE.ipynb @@ -0,0 +1,44 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "86649012-4219-45f8-a42b-2f222159d7c9", + "metadata": {}, + "source": [ + "\n", + "\n", + "- Look at noise notebook again\n", + "- Look at pink noise:\n", + " - Can we tell from spectrum what \"color\" the noise is?\n", + " - \"Pink noise\" looks interesting\n", + " - https://stackoverflow.com/questions/67085963/generate-colors-of-noise-in-python\n", + " - https://en.wikipedia.org/wiki/Pink_noise\n", + " - https://en.wikipedia.org/wiki/Johnson%E2%80%93Nyquist_noise\n", + "- Look at shot noise:\n", + " - Looks interesting: https://electronics.stackexchange.com/questions/716039/noise-in-classical-quantum-transmission\n", + " - But what time scale does this happen on?" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.2" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/artefacts/README.md b/artefacts/README.md new file mode 100644 index 0000000..982af3a --- /dev/null +++ b/artefacts/README.md @@ -0,0 +1,57 @@ +# Modelling patch-clamp experiments + +When analysing data from whole-cell patch-clamp experiments, it can be useful to have a model of both the biological system of interest _and_ the experimental set up. +In these notebooks we retrace the steps taken in the supplement to [Lei et al., 2020](https://doi.org/10.1098/rsta.2019.0348), and construct (1) a model of a patch-clamp experiment with various experimental artefacts, and (2) a model of the corrections applied by patch-clamp amplifiers to mitigate these effects. +The exposition draws heavily on a book chapter by [Sigworth (1995a)](https://doi.org/10.1007/978-1-4419-1229-9_4). + +I have tried to keep things as to-the-point as possible, but a lot of extra detail is provided in the appendices. + +## Modelling patch-clamp experiments [![github](../img/github.svg)](artefacts-1-modelling-patch-clamp.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/fitting-notebooks/tree/artefacts/artefacts/artefacts-1-modelling-patch-clamp.ipynb) + +The first notebook describes the uncompensated patch-clamp set up, and shows how to derive both an electrical schematic and an ODE model. + +## Modelling electronic compensation [![github](../img/github.svg)](artefacts-2-compensation.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/fitting-notebooks/tree/artefacts/artefacts/artefacts-2-compensation.ipynb) + +In the second notebook we update the model to include the compensation circuitry commonly used in patch-clamp amplifiers. + +## Modelling filters [![github](../img/github.svg)](artefacts-3-filtering.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/fitting-notebooks/tree/artefacts/artefacts/artefacts-3-filtering.ipynb) + +(Unfinished) In this notebook, we walk through the steps of a manual patch-clamp experiment. + +## Simulating a manual patch clamp experiment [![github](../img/github.svg)](artefacts-4-simulations.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/fitting-notebooks/tree/artefacts/artefacts/artefacts-4-simulations.ipynb) + +(Unfinished) In this notebook, we walk through the steps of a manual patch-clamp experiment. + +## Simplified models [![github](../img/github.svg)](artefacts-5-simplified.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/fitting-notebooks/tree/artefacts/artefacts/artefacts-5-simplified.ipynb) + +(Unfinished) In notebook number five we derive simplified models of the compensated voltage clamp setup, which can be used in fitting. + +## Summary [![github](../img/github.svg)](artefacts-6-summary.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/fitting-notebooks/tree/artefacts/artefacts/artefacts-6-summary.ipynb) + +(Unfinished) Finally, we present two simplified models (with currents in pA and currents in A/F), in equation & Myokit form. + +## Appendices + +- Electronics + - A1. Ideal op amps [![github](../img/github.svg)](appendix-A1-op-amp.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/fitting-notebooks/tree/artefacts/artefacts/appendix-A1-op-amp.ipynb) + - A2. Laplace transforms and filters [![github](../img/github.svg)](appendix-A2-laplace-and-filters.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/fitting-notebooks/tree/artefacts/artefacts/appendix-A2-laplace-and-filters.ipynb) + - A3. Non-ideal op amps [![github](../img/github.svg)](appendix-A3-non-ideal-op-amp.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/fitting-notebooks/tree/artefacts/artefacts/appendix-A3-non-ideal-op-amp.ipynb) + - A4. Bessel low-pass filters [![github](../img/github.svg)](appendix-A4-bessel-filters.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/fitting-notebooks/tree/artefacts/artefacts/appendix-A4-bessel-filters.ipynb) + - A5. Bessel filter ODEs [![github](../img/github.svg)](appendix-A5-bessel-filter-odes.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/fitting-notebooks/tree/artefacts/artefacts/appendix-A5-bessel-filter-odes.ipynb) +- Extended models + - B1. Models without compensation [![github](../img/github.svg)](appendix-B1-uncompensated-models.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/fitting-notebooks/tree/artefacts/artefacts/appendix-B1-uncompensated-models.ipynb) + - B2. Models with compensation [![github](../img/github.svg)](appendix-B2-compensated-models.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/fitting-notebooks/tree/artefacts/artefacts/appendix-B2-compensated-models.ipynb) + - B3. Sigworth 1983/1995 Rs compensation [![github](../img/github.svg)](appendix-B3-sigworth-rs.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/fitting-notebooks/tree/artefacts/artefacts/appendix-B3-sigworth-rs.ipynb) +- Parameter names and values + - C1. Names & symbols [![github](../img/github.svg)](appendix-C1-symbols.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/fitting-notebooks/tree/artefacts/artefacts/appendix-C1-symbols.ipynb) + - C2. Default parameter values used in examples [![github](../img/github.svg)](appendix-C2-parameter-defaults.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/fitting-notebooks/tree/artefacts/artefacts/appendix-C2-parameter-defaults.ipynb) + - C3. Parameter values, estimates for different amplifiers etc. [![github](../img/github.svg)](appendix-C3-parameter-values.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/fitting-notebooks/tree/artefacts/artefacts/appendix-C3-parameter-values.ipynb) +- Remaining noise and errors + - D1. Strategies for dealing with experimental error [![github](../img/github.svg)](appendix-D1-strategies.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/fitting-notebooks/tree/artefacts/artefacts/appendix-D1-strategies.ipynb) + - D2. Stochastic and periodic noise [![github](../img/github.svg)](appendix-D2-inspecting-noise.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/fitting-notebooks/tree/artefacts/artefacts/appendix-D2-inspecting-noise.ipynb) + - D3. Liquid junction potential [![github](../img/github.svg)](appendix-D3-liquid-junction-potential.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/fitting-notebooks/tree/artefacts/artefacts/appendix-D3-liquid-junction-potential.ipynb) + - D4. Leak (unfinished) [![github](../img/github.svg)](appendix-D4-leak.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/fitting-notebooks/tree/artefacts/artefacts/appendix-D4-leak.ipynb) + - D5. Handling remaining capacitance artefacts (unfinished) [![github](../img/github.svg)](appendix-D5-remaining-Cp-artefacts.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/fitting-notebooks/tree/artefacts/artefacts/appendix-D5-remaining-Cp-artefacts.ipynb) +- Estimating Rs and Cm + - E1. Estimating Rs and Cm; a one-shot approach [![github](../img/github.svg)](appendix-E1-rs-cm-one-shot.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/fitting-notebooks/tree/artefacts/artefacts/appendix-E1-rs-cm-one-shot.ipynb) + - E2. Estimating Rs and Cm; an iterative approach [![github](../img/github.svg)](appendix-E2-rs-cm-iterative.ipynb) [![nbviewer](../img/nbviewer.svg)](https://nbviewer.jupyter.org/github/CardiacModelling/fitting-notebooks/tree/artefacts/artefacts/appendix-E2-rs-cm-iterative.ipynb) diff --git a/artefacts/appendix-A1-op-amp.ipynb b/artefacts/appendix-A1-op-amp.ipynb new file mode 100644 index 0000000..f8abd5e --- /dev/null +++ b/artefacts/appendix-A1-op-amp.ipynb @@ -0,0 +1,240 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Appendix A1: Ideal op amps\n", + "**Appendix A provides extra background for path clamp electronics.**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In this notebook we take a look at op amps, connected in a negative feedback loop like below:" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "\n", + "_Note that the proper way to draw an op amp also includes two terminals to which a power source is connected, see for example [wikipedia](https://en.wikipedia.org/wiki/Operational_amplifier).\n", + "These are omitted here for clarity._" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The general (idealised) equation for an op amp is:\n", + "\n", + "$$ V_o = A (V_+ - V_-)$$\n", + "\n", + "where $A$ is the \"_open loop gain_\" and is $\\mathcal{O}(10^5)$.\n", + "\n", + "For the schematic on the left we can substitute $V_o$ for $V_-$ to find:\n", + "\n", + "\\begin{align}\n", + "V_o &= A (V_+ - V_o) \\\\\n", + "V_o &= \\frac{A}{1 + A} V_+ \\approx V_+\n", + "\\end{align}\n", + "\n", + "where the final approximation works if $A \\gg 1$." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The schematic on the right is more similar to the patch-clamp set-up.\n", + "The resistor $R_1$ is equivalent to $R$ in Figure 2 of the main text, and is often called $R_f$, for _feedback_.\n", + "The second resistor $R_2$ represents the \"load\", which in this case is our pipette/cell/bath combination. As before, we analyse by\n", + "\n", + "1. Writing equations for the voltage drop over both resistors, assuming currents going from right to left.\n", + "2. Assuming no current flows into the op amp, so that the current through $R_1$ equals that through $R_2$.\n", + "3. Using $V_0=A(V_+ - V_-)$ and then letting $A \\gg 1$.\n", + "\n", + "We find:\n", + "\n", + "\\begin{align}\n", + "I_{R_1} &= I_{R_2} \\\\\n", + "(V_o - V_-) / R_1 &= (V_- - 0) / R_2 \\\\\n", + "R_2 (V_o - V_-) &= R_1 V_- \\\\\n", + "R_2 V_o &= (R_1 + R_2) V_-\n", + "\\end{align}\n", + "then use\n", + "\\begin{align}\n", + "V_- = V_+ - V_0/A\n", + "\\end{align}\n", + "to get\n", + "\\begin{align}\n", + "R_2 V_o &= (R_1 + R_2) (V_+ - V_0/A) \\\\\n", + "\\left(R_2 + \\frac{R_1 + R_2}{A} \\right) V_o &= (R_1 + R_2) V_+ \\\\\n", + "V_o &= \\frac{A (R_1 + R_2)}{A R_2 + (R_1 + R_2)} V_+ \\\\\n", + " &= \\frac{A}{1 + \\left(\\frac{R_2}{R_1 + R_2}\\right) A} V_+ \\\\\n", + "\\end{align}\n", + "\n", + "Finally, assuming that $A \\gg 1$, we get\n", + "\\begin{align}\n", + "V_o = \\frac{1}{1/A + \\frac{R_2}{R_1 + R_2}} V_+\n", + " \\approx \\frac{R_1 + R_2}{R_2} V_+ \n", + " = \\left(1 + \\frac{R_1}{R_2} \\right) V_+\n", + "\\end{align}\n", + "\n", + "The term $\\left(1 + \\frac{R_1}{R_2} \\right)$ is sometimes called $A_\\text{CL}$, the \"_closed loop gain_\".\n", + "\n", + "Note that we get the same result by using $V_- = V_+$, as we did in the original analysis of Figure 2.\n", + "This lets us jump straight from\n", + "\n", + "$$R_2 V_0 = (R_1 + R_2) V_-$$\n", + "to\n", + "$$V_0 = \\frac{R_1 + R_2}{R_2} V_+$$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Without load" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If we draw a partial circuit, we can still find an equation for $V_o$:\n", + "\n", + "\\begin{align}\n", + "V_o = V_- + IR\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Inverting amplifier" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "An \"inverting op-amp\" has a voltage applied to its \"inverting input\", as shown above.\n", + "We can analyse this using the same procedure.\n", + "\n", + "Starting with the current through either resistor:\n", + "\n", + "\\begin{align}\n", + "\\frac{V_1 - V^-}{R_1} &= \\frac{V^- - V_2}{R_2} \\\\\n", + "R_2 V_1 &= (R_1 + R_2)V^-- R_1V_2 \\\\\n", + "\\end{align}\n", + "\n", + "and then using $V_2 = A(V^+ - V^-) = -AV^-$:\n", + "\n", + "\\begin{align}\n", + "R_2 V_1 = -\\frac{R_1 + R_2}{A}V_2 - R_1V_2 \\approx -R_1V_2\n", + "\\end{align}\n", + "\n", + "to get\n", + "\n", + "\\begin{align}\n", + "V_2 \\approx -\\frac{R_2}{R_1} V_1\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## A difference amplifier\n", + "\n", + "The second active component we introduced was a differential or [_difference amplifier_](https://en.wikipedia.org/wiki/Differential_amplifier), as shown in the left panel below:" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "A design using an op amp is shown on the right.\n", + "Once again assuming currents flow from right to left, and that no currents flow into the op amp terminals, we can see that the current through both resistors at the top must be equal:\n", + "\n", + "\\begin{align}\n", + "(V_a - V_1) / R_1 &= (0 - V_a) / R_2 \\\\\n", + "R_2 (V_a - V_1) &= - R_1 V_a \\\\\n", + "V_a = V_1 \\frac{R_2}{R_1 + R_2}\n", + "\\end{align}\n", + "\n", + "And the same holds for the two resistors at the bottom:\n", + "\n", + "\\begin{align}\n", + "R_2 (V_b - V_2) &= R_1 (V_\\text{out} - V_b) \\\\\n", + "R_1 V_\\text{out} &= (R_1 + R_2) V_b - R_2 V_2\n", + "\\end{align}\n", + "\n", + "setting $V_a = V_b$\n", + "\n", + "\\begin{align}\n", + "R_1 V_\\text{out} &= \\frac{R_2 (R_1 + R_2)}{R_1 + R_2} V_1 - R_2 V_2 \\\\\n", + " V_\\text{out} &= \\frac{R_2}{R_1} V_1 - \\frac{R_2}{R_1} V_2 = K (V_1 - V_2)\n", + "\\end{align}\n", + "\n", + "We can set the amplification factor $K = R_2 / R_1$ by choosing the right resistors.\n", + "For our application, we pick $R_1 = R_2$ so that $K = 1$." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "For the mathematical analysis of this schematic the diff amp doesn't seem to do anything: instead of measuring a voltage difference between a point at $V_o$ and a point at $V_c$ we now measure between a point at $V_\\text{out} = V_o - V_c$ and a point at $V=0$.\n", + "However, the difference amplifier acts as a _buffer_: any device you attach to its $V_{out}$ and the ground will draw power from the amplifier, not from the preparation." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.6" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/artefacts/appendix-A2-laplace-and-filters.ipynb b/artefacts/appendix-A2-laplace-and-filters.ipynb new file mode 100644 index 0000000..0b3ed31 --- /dev/null +++ b/artefacts/appendix-A2-laplace-and-filters.ipynb @@ -0,0 +1,1977 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "44ff9bab", + "metadata": {}, + "source": [ + "# Appendix A2: Laplace transforms & filters\n", + "**Appendix A provides extra background for path clamp electronics.**" + ] + }, + { + "cell_type": "markdown", + "id": "15d86196", + "metadata": {}, + "source": [ + "This notebook discusses laplace transforms and their use in analysing a system's response to an input signal $u(t)$.\n", + "In particular, a _filter's_ response to a (co)sinusoidal input.\n", + "\n", + "It's very long and glosses over a lot of details and so is best used as a reminder, not a first introduction." + ] + }, + { + "cell_type": "markdown", + "id": "2b01a012", + "metadata": {}, + "source": [ + "## The impulse response\n", + "\n", + "Let $\\delta(t)$ be the [unit impulse](https://en.wikipedia.org/wiki/Dirac_delta_function) or Dirac delta, which is commonly thought of as\n", + "\n", + "\\begin{align}\n", + "\\delta(t - t_0) = \\begin{cases}\n", + "\\infty, &t = t_0\\\\\n", + "0, &t \\neq t_0\\end{cases}\n", + "\\end{align}\n", + "\n", + "but has a more complicated \"proper\" definition as a [generalised function](https://en.wikipedia.org/wiki/Generalized_function) with properties:\n", + "\n", + "1. $$\\int_a^b \\delta(t)dt = 1 \\quad\\text{if } 0 \\in [a, b] $$\n", + "2. $$\\int_a^b \\delta(t)dt = 0 \\quad\\text{if } 0 \\notin [a, b]$$\n", + "3. $$\\int_{-\\infty}^{\\infty} \\delta(t - t_0)g(t)\\,dt = g(t_0)$$\n", + "\n", + "The response to a system driven with $\\delta$ is called the [impulse response](https://en.wikipedia.org/wiki/Impulse_response), and will be denoted here as $h(t)$." + ] + }, + { + "cell_type": "markdown", + "id": "99ecb1cd", + "metadata": {}, + "source": [ + "Impulse responses for common functions can be looked up in tables, but they can also be worked out by hand.\n", + "For example, given a system defined by \n", + "\n", + "\\begin{align}\n", + "\\dot{y}(t) + ay(t) = u(t)\n", + "\\end{align}\n", + "\n", + "where $y$ is the state, $u$ is the input and $a$ is a non-zero constant, we can fill in $u(t)=\\delta(t)$ and $y(t)=h(t)$ (by h's definition) so that \n", + "\n", + "\\begin{align}\n", + "\\dot{h}(t) + ah(t) = \\delta(t)\n", + "\\end{align}\n", + "\n", + "Next, we'll assume that the system has no response for $t < 0$ (the impulse hasn't happened yet).\n", + "At $t > 0$, we have $\\delta(t) = 0$ and so we can separate $\\frac{dh}{dt} = -ah$ as usual to find $h(t) = h_0 e^{-at}$.\n", + "The situation at $t = 0$ is tricky to analyse, but the accepted solution seems to be that (1) $h(t = 0)$ is undefined, (2) its limit approached from the left is 0, and (3) its limit approached from the right is 1.\n", + "Integrating from $0$ to $t$ we then get $h_0 = 1$, so that the full impulse response becomes\n", + "\\begin{align}\n", + "h(t) = \\begin{cases}e^{-at}, &t>0,\\\\0, &t<0\\\\\\text{undefined}, &t=0\\end{cases}\n", + "\\end{align}\n", + "\n", + "More commonly we'll ignore negative time and just write e.g. $h(t)=e^{-at}$." + ] + }, + { + "cell_type": "markdown", + "id": "4adc3514", + "metadata": {}, + "source": [ + "The integral of the unit impulse is the [unit step](https://en.wikipedia.org/wiki/Heaviside_step_function) function:\n", + "\\begin{equation}\n", + "\\theta(t - t_0) = \\begin{cases}1, &t > t_0\\\\0, &t < t_0\\\\\\text{undefined}, &t = t_0\\end{cases}\n", + "\\end{equation}\n", + "(some people use a different definition for the $t=t_0$ case).\n", + "\n", + "Using the unit step, we can write the above equation for $h(t)$ as $h(t) = e^{-at}\\theta(t)$." + ] + }, + { + "cell_type": "markdown", + "id": "724142d8", + "metadata": {}, + "source": [ + "### The superposition principle and linear systems\n", + "\n", + "Next, we introduce the [superposition principle](https://en.wikipedia.org/wiki/Superposition_principle).\n", + "This holds if, when input $u_1(t)$ has response $y_1(t)$ and input $u_2(t)$ has response $y_2(t)$, any **linear combination** of the input signals $u(t) = \\alpha_1 u_1(t) + \\alpha_2 u_2(t)$ results in the same linear combination of responses $y(t) = \\alpha_1 y_1(t) + \\alpha_2 y_2(t)$.\n", + "\n", + "The class of systems satisfying this priniciple are called [linear systems](https://en.wikipedia.org/wiki/Linear_time-invariant_system).\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "4d580eaf", + "metadata": {}, + "source": [ + "### Decomposing arbitrary inputs into impulse responses\n", + "\n", + "For systems where the superposition principle holds, we can analyse the response to any input signal $u(t)$ by decomposing into sub-inputs with known responses.\n", + "If we're willing to do some maths, this can even be an infinite number of sub-inputs, for example sine waves or unit impulses.\n", + "\n", + "Let $\\delta(t - \\tau)$ be a unit impulse input, and $h(t - \\tau)$ the impulse response, we can then write $u(t)$ as a linear combination with an infinite number of terms $u(\\tau)\\delta(t - \\tau)\\,d\\tau$ (where $\\tau$ is a constant):\n", + "\\begin{align}\n", + "u(t) = \\int_{-\\infty}^\\infty u(\\tau)\\delta(t - \\tau)\\,d\\tau\n", + "\\end{align}\n", + "\n", + "writing the same linear combination for the known impulse responses $h(t - \\tau)$ we find:\n", + "\n", + "\\begin{align}\n", + "y(t) = \\int_{-\\infty}^\\infty u(\\tau)h(t - \\tau)\\,d\\tau\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "3fc400c8", + "metadata": {}, + "source": [ + "These horrible forms are known as \"convolution integrals\", sometimes denoted with a $*$:\n", + "\\begin{align}\n", + "(f * g)(t) = \\int_{-\\infty}^\\infty f(\\tau)g(t - \\tau)\\,d\\tau\n", + "\\end{align}\n", + "where the left hand side notation is meant to convey that this is an operation on _functions_: we are convolving the functions themselves, not their evaluations on some specific value of $t$.\n", + "Convolution is not restricted to time-varying functions: $t$ represents any free variable.\n", + "For people who love properties of things we can add that $(f * g)(t) = (g * t)(t)$." + ] + }, + { + "cell_type": "markdown", + "id": "4f089054", + "metadata": {}, + "source": [ + "In summary:\n", + "\n", + "1. The impulse function is a slightly dubious \"generalised function\" for which $\\int_a^b\\delta(t)dt=1$ if and only if $0\\in[a, b]$.\n", + "2. A system's response to being driven with a unit impulse is called its impulse response, and can be derived or looked up in tables.\n", + "3. If the system obeys the superposition principle, we can write its response to an arbitrary input signal as a convolution integral of the input and the impulse response." + ] + }, + { + "cell_type": "markdown", + "id": "5529fcd3", + "metadata": {}, + "source": [ + "## The Laplace transform\n", + "\n", + "The Laplace transform is a one-to-one mapping between function spaces: it can be applied to a function \"in the time domain\" to yield another \"in the Laplace domain\".\n", + "A typical use case is to apply the Laplace transformation, manipulate the function in ways that would have been harder in the time domain, and then transform back.\n", + "\n", + "For a function $f(t)$ on $t \\geq 0$, its Laplace transformation $F(s)$ is defined as\n", + "\n", + "\\begin{equation}\n", + "F(s) = \\int_0^\\infty f(t) e^{-st} dt\n", + "\\end{equation}\n", + "\n", + "where $s$ is the new free variable, and is a complex number (so we're mapping 1-d functions onto 2-d functions!).\n", + "\n", + "We denote this transfer as $\\mathcal{L}\\{f(t)\\} = F(s)$." + ] + }, + { + "cell_type": "markdown", + "id": "ad3c668d", + "metadata": {}, + "source": [ + "### The inverse transform?\n", + "\n", + "Being a nice one-to-one mapping, the Laplace transformation should have an inverse.\n", + "You can find it on [wikipedia](https://en.wikipedia.org/wiki/Inverse_Laplace_transform), but it's more common to rely on tables when converting back to the time domain, or to end the analysis without ever converting back." + ] + }, + { + "cell_type": "markdown", + "id": "462946d2", + "metadata": {}, + "source": [ + "### Some things are easier in the Laplace domain\n", + "\n", + "The Laplace transform has some very nice properties.\n", + "For starters, **linear combinations** stay the same:\n", + "\n", + "\\begin{align}\n", + "& \\int_0^\\infty \\left[a f(t) + b g(t)\\right] e^{-st} dt \n", + " = a \\int_0^\\infty f(t) e^{-st} dt + b \\int_0^\\infty g(t) e^{-st} dt \n", + " = aF(s) + bG(s)\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "36fe69b2", + "metadata": {}, + "source": [ + "#### Time-derivatives\n", + "\n", + "More surprisingly, time-derivatives become multiplications by powers of $s$.\n", + "\n", + "Starting from\n", + "\\begin{align}\n", + "\\int_0^\\infty \\dot{f}(t) e^{-st} dt\n", + "\\end{align}\n", + "\n", + "we use integration by parts $\\int U dV = UV - \\int V dU$ with $U=e^{-st}$ and $dV=\\dot{f}(t)dt$ to find\n", + "\n", + "\\begin{align}\n", + "\\int_0^\\infty \\dot{f}(t) e^{-st} dt\n", + "&= \\left[f(t)e^{-st}\\right]_0^\\infty + \\int_0^\\infty f(t)se^{-st} dt \\\\\n", + "&= 0 - f(0)e^0 + s \\int_0^\\infty f(t)e^{-st} dt \\\\\n", + "&= s F(s) - f(0)\n", + "\\end{align}\n", + "\n", + "or\n", + "\n", + "\\begin{align}\n", + "\\mathcal{L}\\{\\dot{f}(t)\\} = s F(s) - f(0)\n", + "\\end{align}\n", + "\n", + "Similarly, for second order time-derivatives we get $\\mathcal{L}\\{\\ddot{f(t)}\\} = s^2F(s) - sf(0) - \\dot{f}(0)$." + ] + }, + { + "cell_type": "markdown", + "id": "3d698bc5", + "metadata": {}, + "source": [ + "#### Convolution and impulse response\n", + "\n", + "Most importantly, ugly convolution becomes multiplication.\n", + "\n", + "To prove this, you start by writing out\n", + "\\begin{align}\n", + "\\mathcal{L}\\{f*g\\} = \\int_0^\\infty \\left(\\int_0^t f(\\tau) g(t-\\tau) \\,d\\tau \\right)e^{-st}dt\n", + "\\end{align}\n", + "and then, if you're _really_ good at integrals, you do several tricks and end up with\n", + "\\begin{align}\n", + "=F(s)G(s)\n", + "\\end{align}\n", + "\n", + "As a result, for a system with input $u$ and impulse response $h(t)$, we can replace\n", + "\\begin{align}\n", + "y(t) = \\int_{-\\infty}^\\infty u(\\tau)h(t - \\tau)\\,d\\tau\n", + "\\end{align}\n", + "with\n", + "\\begin{align}\n", + "Y(s) = H(s) U(s)\n", + "\\end{align}\n", + "\n", + "where $H(s) = Y(s)/U(s)$ is called the system's **transfer function**." + ] + }, + { + "cell_type": "markdown", + "id": "0377e8d8", + "metadata": {}, + "source": [ + "#### More properties\n", + "\n", + "There's a [list on wikipedia](https://en.wikipedia.org/wiki/Laplace_transform#Properties_and_theorems)." + ] + }, + { + "cell_type": "markdown", + "id": "5bae9ee8", + "metadata": {}, + "source": [ + "### Some transformed functions\n", + "\n", + "There are lots of tables of Laplace transforms out there, including the [Laplace transform wikipedia page](https://en.wikipedia.org/wiki/Laplace_transform).\n", + "A few famous ones are given below.\n", + "\n", + "Exponentials:\n", + "$$\\mathcal{L}\\{e^{-at}\\} = \\frac{1}{s + a}$$\n", + "\n", + "Sine & cosine:\n", + "$$\\mathcal{L}\\{\\sin(\\omega t)\\}\n", + " = \\mathcal{L}\\left\\{\\frac{e^{i \\omega t} - e^{i \\omega t}}{2i}\\right\\}\n", + " = \\frac{\\omega}{s^2 + \\omega^2}$$\n", + "\n", + "$$\\mathcal{L}\\{\\cos(\\omega t)\\}\n", + " = \\mathcal{L}\\left\\{\\frac{e^{i \\omega t} + e^{i \\omega t}}{2}\\right\\}\n", + " = \\frac{s}{s^2 + \\omega^2}$$\n", + "\n", + "The impulse function:\n", + "$$\\mathcal{L}\\{\\delta(t)\\} = 1$$\n", + "\n", + "The unit step function:\n", + "$$\\mathcal{L}\\{\\alpha \\theta(t)\\} = \\frac{\\alpha}{s}$$" + ] + }, + { + "cell_type": "markdown", + "id": "347d2b70", + "metadata": {}, + "source": [ + "## Analysing systems with zeros and poles\n", + "\n", + "Many systems can be analysed in terms of their _zeros_ (values of $s$ for which $H(s)$ is zero) and _poles_ (a [particular type of singularity](https://en.wikipedia.org/wiki/Zeros_and_poles)).\n", + "\n", + "In particular, any n-th order linear differential equation (with all initial conditions set to 0) has a transfer function that can be written as the fraction of two polynomials:\n", + "\n", + "\\begin{align}\n", + "F(s) = \\frac{a_ms^m + a_{m-1}s^{m-1} + ...}{b_ns^n + b_{n-1}s^{n-1} + ...} = k\\frac{\\prod_{i=1}^m(s - z_i)}{\\prod_{i=1}^n(s - p_i)}\n", + "\\end{align}\n", + "\n", + "where $p_i$ are its **poles** and $z_i$ are its **zeroes**.\n", + "\n", + "Analysis of systems written this form is often simplified using [partial fraction decomposition](https://en.wikipedia.org/wiki/Partial_fraction_decomposition) to write $F$ as a sum instead of a product." + ] + }, + { + "cell_type": "markdown", + "id": "37fd5134", + "metadata": {}, + "source": [ + "### Real, imaginary, and complex poles\n", + "\n", + "We can tell a lot by looking at the poles.\n", + "Like $s$, poles can be complex numbers, and the system's behaviour differs depending on whether they are fully real, fully imaginary, or complex.\n", + "\n", + "#### Real poles result in exponential terms\n", + "\n", + "The form \n", + "\\begin{equation}\n", + "F(s) = \\frac{C_1}{s - p_1} + \\frac{C_2}{s - p_2} + ... + \\frac{C_n}{s - p_n}\n", + "\\end{equation}\n", + "where $p_i$ are all real numbers has inverse transform \n", + "$$f(t) = \\left( C_1e^{p_1t} + C_2e^{p_2t} + ... + C_ne^{p_nt} \\right) \\theta(t)$$\n", + "\n", + "Terms like $\\frac{C_i}{(s - p_i)^2}$ become $C_ite^{p_it}$, while $\\frac{C_i}{(s - p_i)^3}$ becomes $C_it^2e^{p_it}$ etc." + ] + }, + { + "cell_type": "markdown", + "id": "94652d8b", + "metadata": {}, + "source": [ + "#### Imaginary poles give oscillations\n", + "\n", + "The form\n", + "\\begin{equation}\n", + "F(s) = \\frac{C_1 + C_2s}{(s - i\\omega)(s + i\\omega)} = \\frac{C_1 + C_2s}{s^2 +\\omega^2}\n", + "\\end{equation}\n", + "has inverse\n", + "\\begin{equation}\n", + "f(t) = \\left( \\frac{1}{\\omega} C_1\\sin(\\omega t) + C_2\\cos(\\omega t)\\right) \\theta(t)\n", + "\\end{equation}" + ] + }, + { + "cell_type": "markdown", + "id": "b3fe2e42", + "metadata": {}, + "source": [ + "#### Complex poles give growing or damped oscillations\n", + "\n", + "The form\n", + "\\begin{equation}\n", + "F(s) = \\frac{C_1 + C_2s}{(s+\\sigma-i\\omega)(s+\\sigma+i\\omega)} \n", + " = \\frac{C_1 + C_2s}{(s + \\sigma)^2 +\\omega^2}\n", + "\\end{equation}\n", + "with poles $-\\sigma + i\\omega$ and $-\\sigma -i\\omega$, has inverse\n", + "\\begin{equation}\n", + "f(t) = \\left(\n", + " \\frac{C_1 - C_2\\sigma}{\\omega}e^{-\\sigma t}\\sin(\\omega t) + C_2e^{-\\sigma t}\\cos(\\omega t)\n", + "\\right) \\theta(t)\n", + "\\end{equation}\n" + ] + }, + { + "cell_type": "markdown", + "id": "e853a336", + "metadata": {}, + "source": [ + "#### Stability and oscillations\n", + "\n", + "In summary, for a system with poles $p_i = \\sigma_i + i \\omega$,\n", + "\n", + "- the system is stable only if all real parts are negative $\\sigma_i < 0$\n", + "\n", + "and\n", + "\n", + "- a system with fully real poles (all $\\omega_i = 0$) exhibits exponential behaviour,\n", + "- a system with fully imaginary poles (all $\\sigma_i = 0$) exhibits pure oscillations,\n", + "- a system with complex poles exhibits damped ($\\sigma_i < 0$) or exponentially growing ($\\sigma_i > 0$) oscillations." + ] + }, + { + "cell_type": "markdown", + "id": "5124c491", + "metadata": {}, + "source": [ + "### Free and forced response\n", + "The ODE\n", + "\\begin{align}\n", + "\\tau \\dot{y} + y(t) = u(t)\n", + "\\end{align}\n", + "\n", + "has Laplace transform \n", + "\n", + "\\begin{align}\n", + "\\tau (s Y(s) - y(0)) + Y(s) = U(s)\n", + "\\end{align}\n", + "\n", + "or\n", + "\n", + "\\begin{align}\n", + "Y(s) = \\frac{\\tau y(0)}{\\tau s + 1} + \\frac{1}{\\tau s + 1} U(s)\n", + "\\end{align}\n", + "\n", + "The first term is called the **free** or **natural response** and represents the system's response to its initial conditions.\n", + "The second term is called the **forced response**." + ] + }, + { + "cell_type": "markdown", + "id": "e8e8fa9a-1889-4ac5-8b32-8c1dcdfd07fb", + "metadata": {}, + "source": [ + "## Block diagrams\n", + "\n", + "Long transfer functions can sometimes be broken up into _block diagrams_.\n", + "\n", + "In particular, two components **in series** corresponds to a simple multiplication:\n", + "\\begin{align}\n", + "Y(s) = G_2(s) G_1(s) U(s)\n", + "\\end{align}\n", + "\n", + "\n", + "\n", + "For blocks **in parallel** we find\n", + "\\begin{align}\n", + "Y(s) = \\left[G_1(s) + G_2(s)\\right] U(s)\n", + "\\end{align}\n", + "\n", + "\n", + "\n", + "And **negative feedback** reduces to\n", + "\\begin{align}\n", + "Y(s) = \\frac{G_1(s)}{1 + G_1(s)G_2(s)} U(s)\n", + "\\end{align}\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "id": "a120e9cb", + "metadata": {}, + "source": [ + "### First and second order systems with zeroed initial conditions\n", + "\n", + "#### A first order system with y(0) = 0\n", + "\n", + "The ODE\n", + "\\begin{align}\n", + "\\tau \\dot{y} + y(t) = u(t)\n", + "\\end{align}\n", + "\n", + "with $y(0) = 0$ has transfer function\n", + "\n", + "\\begin{align}\n", + "H(s) = \\frac{1}{1 + s\\tau} = \\frac{\\omega}{\\omega + s}\n", + "\\end{align}\n", + "\n", + "and impulse response\n", + "\n", + "\\begin{align}\n", + "h(t) = \\frac{1}{\\tau} e^{-t/\\tau}\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "766bf705", + "metadata": {}, + "source": [ + "#### A second order system with real & distinct poles\n", + "\n", + "The ODE\n", + "\n", + "\\begin{align}\n", + "a \\ddot{y} + b \\dot{y} + c y(t) = u(t)\n", + "\\end{align}\n", + "\n", + "with $y(0) = 0$ and $\\dot{y}(0) = 0$ has transfer function\n", + "\n", + "\\begin{align}\n", + "H(s) = \\frac{1}{a s^2 + b s + c} = \\frac{k}{(s - p_1)(s - p_2)} = \\frac{C_1}{s - p_1} + \\frac{C_2}{s - p_2}\n", + "\\end{align}\n", + "\n", + "where the last bit is a [partial fraction decomposition](https://en.wikipedia.org/wiki/Partial_fraction_decomposition).\n", + "As a result, it has impulse function\n", + "\n", + "\\begin{align}\n", + "h(t) = C_1 e^{p_1 t} + C_2 e^{p_2 t}\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "0edde5d4", + "metadata": {}, + "source": [ + "#### A second order system with imaginary poles\n", + "\n", + "The ODE\n", + "\\begin{align}\n", + "\\ddot{y} + 2\\zeta\\omega\\dot{y} + \\omega^2 = u(t)\n", + "\\end{align}\n", + "\n", + "with $y(0) = 0$, $\\dot{y}(0) = 0$, and $\\ddot{y}(0) = 0$, has transfer function\n", + "\n", + "\\begin{align}\n", + "H(s) = \\frac{1}{s^2 + 2\\zeta\\omega s + \\omega^2}\n", + "\\end{align}\n", + "\n", + "we can find the poles by solving $s^2 + 2\\zeta\\omega s + \\omega^2 = 0$ to find\n", + "\\begin{align}\n", + "-\\zeta \\omega \\pm \\omega \\sqrt{\\zeta^2 - 1}\n", + "\\end{align}\n", + "\n", + "If we consider the case where $\\zeta > 1$, then the poles are real and we have the system above.\n", + "For $\\zeta = 1$ we get a slightly different transfer function $\\frac{C_1s + C_2}{(s + \\omega)^2}$.\n", + "But for $0 \\leq \\zeta < 1$ the poles must be imaginary.\n", + "We can make this explicit by multiplying the term inside the square root by $-1$ and writing the poles as\n", + "\n", + "\\begin{align}\n", + "-\\zeta \\omega \\pm i \\omega \\sqrt{1 - \\zeta^2}\n", + "\\end{align}\n", + "for\n", + "\\begin{align}\n", + "H(s) = \\frac{1}{(s + \\zeta \\omega + i \\omega \\sqrt{1 - \\zeta^2})(s + \\zeta \\omega - i \\omega \\sqrt{1 - \\zeta^2})}\n", + " = \\frac{1}{(s + \\zeta \\omega)^2 + \\omega^2 (1 - \\zeta^2)}\n", + "\\end{align}\n", + "\n", + "Using the equation given above under \"poles and zeros\", we see that the impuls response is\n", + "\n", + "\\begin{align}\n", + "f(t) = \\frac{1}{\\omega \\sqrt{1 - \\zeta^2}}e^{-\\zeta\\omega t}\\sin\\left(\\omega \\sqrt{1 - \\zeta^2} t\\right) \\theta(t)\n", + " = \\frac{1}{\\omega_d}e^{-\\zeta\\omega t}\\sin\\left(\\omega_d t\\right) \\theta(t) \n", + "\\end{align}\n", + "\n", + "where $\\zeta$ is the _damping coefficient_, $\\omega$ is the _natural frequency_, and $\\omega_d = \\omega\\sqrt{1 - \\zeta^2}$ is the _damped frequency_." + ] + }, + { + "cell_type": "markdown", + "id": "8aedf673", + "metadata": {}, + "source": [ + "## Frequency response example: a low-pass filter\n", + "\n", + "In engineering (unlike in cell electrophysiology) the most interesting part of a system is often how it responds to a (co)sinusoidal input.\n", + "\n", + "We can obtain this by filling in the laplace transform of a sine or cosine for U(s), carrying out the multiplication with H(s), and then working out the inverse transform.\n", + "We'll do this below for illustrative purposes, but skip to the next section to see why people usually don't." + ] + }, + { + "cell_type": "markdown", + "id": "5462fea6", + "metadata": {}, + "source": [ + "### Deriving a transfer function\n", + "\n", + "The example we use is a [low-pass filter](https://en.wikipedia.org/wiki/Low-pass_filter), for example the schematic below:\n", + "\n", + "\n", + "\n", + "Using Kirchoff's laws we write a differential equation for $V$ in terms of $V_\\text{in}$\n", + "\n", + "\\begin{align}\n", + "\\left.\n", + "\\begin{aligned}\n", + "&V - V_\\text{in} = I_R R \\\\\n", + "&I_R = I_C = C\\frac{d}{dt}(0 - V) = -C\\dot{V} \\\\\n", + "\\end{aligned}\n", + "\\right\\}V - V_\\text{in} = -RC\\dot{V}\n", + "\\end{align}\n", + "\n", + "Using $\\omega = 1/RC$\n", + "\n", + "\\begin{align}\n", + "\\dot{V}(t) = \\omega\\left(V_\\text{in}(t) - V(t)\\right)\n", + "\\end{align}\n", + "\n", + "Apply a Laplace transformation, with initial conditions $V(0)=0$:\n", + "\n", + "\\begin{align}\n", + "s V(s) &= \\omega(V_\\text{in}(s) - V(s)) \\\\\n", + "V &= V_\\text{in} \\omega / (s + \\omega)\n", + "\\end{align}\n", + "\n", + "Then find the transfer function by dividing by $U(s) = V_\\text{in}(s)$ for\n", + "\n", + "\\begin{align}\n", + "H(s) &= \\frac{\\omega}{s + \\omega}\n", + "\\end{align}\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "708dac38", + "metadata": {}, + "source": [ + "### Finding the output\n", + "\n", + "To see why this is called a \"low-pass filter\", we apply the input\n", + "\n", + "\\begin{align}\n", + "u(t) = \\cos(\\phi t)\n", + " \\quad\\longrightarrow\\quad\n", + "U(s) = \\frac{s}{s^2 + \\phi^2}\n", + "\\end{align}\n", + "to get\n", + "\\begin{align}\n", + "Y(s) = H(s)U(s) = \\frac{\\omega s}{(s + \\omega)(s^2 + \\phi^2)}\n", + "\\end{align}\n", + "\n", + "Partial fraction decomposition lets us write this as \n", + "\\begin{align}\n", + "Y(s) = \\frac{A}{s + \\omega} + \\frac{B s + C}{s^2 + \\phi^2}\n", + "\\end{align}\n", + "\n", + "which we can bring under a common denominator and expand to\n", + "\n", + "\\begin{align}\n", + "Y(s) = \\frac{s^2(A + B) + s(B\\omega + C) + (A\\phi^2 + C\\omega)}{(s + \\omega)(s^2 + \\phi^2)}\n", + "\\end{align}\n", + "\n", + "which holds if $B = -A$ and $C = -\\frac{\\phi^2}{\\omega}A$.\n", + "For $A$ itself we find\n", + "\\begin{align}\n", + "\\omega = B\\omega + C = -A\\omega - \\frac{\\phi^2}{\\omega}A\n", + " \\,\\longrightarrow\\,\n", + "A = \\frac{\\omega}{-\\omega - \\phi^2/\\omega} = \\frac{-\\omega^2}{\\omega^2 + \\phi^2}\n", + "\\end{align}\n", + "\n", + "Filling in expressions for $B$ and $C$ we arrive at\n", + "\n", + "\\begin{align}\n", + "Y(s) = A\\frac{1}{s + \\omega} -A\\frac{s}{s^2 + \\phi^2} - A\\frac{\\phi}{\\omega}\\frac{\\phi}{s^2 + \\phi^2}\n", + "\\end{align}\n", + "\n", + "which translates back easily to\n", + "\n", + "\\begin{align}\n", + "y(t) = Ae^{-\\omega t} -A\\left[\\cos(\\phi t) + \\frac{\\phi}{\\omega}\\sin(\\phi t)\\right]\n", + "\\end{align}\n", + "\n", + "This shows us that the response can be broken up into two parts: a **transient response**, depending only on (A and) the filter frequency $\\omega$, and a **periodic response**, with the frequency of the input signal, $\\phi$." + ] + }, + { + "cell_type": "markdown", + "id": "73fe61e8", + "metadata": {}, + "source": [ + "#### Intermezzo: the harmonic addition theorem\n", + "\n", + "To simplify further we need something known as the \"harmonic addition theorem\", which shows that we can write the grouped terms above as a single cosine with a phase shift:\n", + "$$a\\cos(x) + b\\sin(x) = c\\cos(x + z)$$\n", + "\n", + "to see that this is true and find the appropriate $c$ and $z$ we write\n", + "\n", + "\\begin{align}\n", + "a\\cos(x) + b\\sin(x) &= c\\cos(x + z) \\\\\n", + " &= c\\cos(x)\\cos(z) - c\\sin(x)\\sin(z)\n", + "\\end{align}\n", + "so that\n", + "\\begin{align}\n", + "\\left.\\begin{aligned} a &= c\\cos(z) \\\\ b &= -c\\sin(z) \\end{aligned}\\right\\}\n", + "\\quad \\tan{z}=\\frac{\\sin(y)}{\\cos(z)}=\\frac{-b}{a}\n", + "\\quad \\longrightarrow \\quad z = \\arctan(-b/a)\n", + "\\end{align}\n", + "and\n", + "$$a^2 + b^2 = c^2\\cos^2(z) + c^2\\sin^2(z) = c^2 \\quad \\longrightarrow \\quad c = \\pm \\sqrt{a^2 + b^2}$$" + ] + }, + { + "cell_type": "markdown", + "id": "c677459a", + "metadata": {}, + "source": [ + "##### Form using sign(a)\n", + "\n", + "Finally, because $\\arctan$ by definition returns a value $z \\in (-\\pi/2, \\pi/2)$ we have $\\cos(z) \\geq 0$ and so $a$ and $c$ must have the same sign, denoted $\\operatorname{sign}(a)$.\n", + "This gives us the final result:\n", + "\n", + "\\begin{align}\n", + "a\\cos(x) + b\\sin(x) = \\operatorname{sign}(a)\\sqrt{a^2+b^2} \\cos(x + \\arctan(-b/a))\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "700c1da2", + "metadata": {}, + "source": [ + "##### Atan2 form\n", + "\n", + "Alternatively, we can use [atan2(b, a)](https://en.wikipedia.org/wiki/Atan2).\n", + "This differs from $\\arctan(b/a)$ by either $+\\pi$ or $-\\pi$ whenever $a < 0$, and since $\\cos(x \\pm \\pi) = -\\cos(x)$ this means the $\\cos$ will have the same sign as $a$ so that we can write:\n", + "\n", + "\\begin{align}\n", + "a\\cos(x) + b\\sin(x) = \\sqrt{a^2+b^2} \\cos(x + \\operatorname{atan2}(-b, a))\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "90cd96d6", + "metadata": {}, + "source": [ + "#### Back to the low-pass filter!\n", + "\n", + "Filling in $a = 1$ and $b = \\phi / \\omega$ we get\n", + "\\begin{align}\\cos(\\phi t) + \\frac{\\phi}{\\omega}\\sin(\\phi t) \n", + " &= \\operatorname{sign}(1)\\sqrt{1 + \\phi^2/\\omega^2} \\cos\\left(\\phi t + \\arctan(-\\phi / \\omega)\\right) \\\\\n", + " &= \\sqrt{1 + \\phi^2/\\omega^2} \\cos\\left(\\phi t - \\arctan(\\phi / \\omega)\\right)\n", + "\\end{align}\n", + "\n", + "The complete response becomes\n", + "\n", + "\\begin{align}\n", + "y(t) &= \\frac{-\\omega^2}{\\omega^2 + \\phi^2} e^{-\\omega t} - \\frac{-\\omega^2}{\\omega^2 + \\phi^2} \\sqrt{1 + \\phi^2/\\omega^2} \\cos\\left(\\phi t - \\arctan(\\phi / \\omega)\\right) \\\\\n", + " &= -\\frac{\\omega^2}{\\omega^2 + \\phi^2} e^{-\\omega t} + \\frac{\\omega}{\\sqrt{\\omega^2 + \\phi^2}} \\cos\\left(\\phi t - \\arctan(\\phi / \\omega)\\right) \\\\\n", + "\\end{align}\n", + "\n", + "This clearly shows the **transient part** on the left, and the **periodic part** on the right, which has **the same frequency** as the input signal but a **phase shift** depending on the ratio of the input frequency to the filter frequency.\n", + "Both terms have an amplification or gain factor depending on both frequencies." + ] + }, + { + "cell_type": "markdown", + "id": "d674efb3", + "metadata": {}, + "source": [ + "#### Interpreting the result\n", + "\n", + "We applied an input $\\cos(\\phi t)$ and got a response consisting of an exponentially decaying term and an oscillation.\n", + "To analyse this further, let $\\lambda = \\phi / \\omega$ be the ratio between the input and the filter frequencies, so that $\\lambda > 1$ means the input frequency exceeds the filter frequency.\n", + "The equation above then simplifies to\n", + "\\begin{align}\n", + "y(t) = -\\frac{1}{1 + \\lambda^2} e^{-\\omega t} \n", + " + \\frac{1}{\\sqrt{1 + \\lambda^2}} \\cos\\left(\\phi t - \\arctan(\\lambda) \\right)\n", + "\\end{align}\n", + "\n", + "This means that, once the transient response has died out, the main effect of the filter is to apply a phase shift and a frequency-dependent scaling $(1 + \\lambda^2)^{-1/2}$.\n", + "We can plot this response on a linear scale or, as is more commonly done, on a log-log scale:" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "f59c1829", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "\n", + "f = lambda x: 1 / np.sqrt(1 + x**2)\n", + "\n", + "x = np.linspace(0, 5, 1001)\n", + "y = f(x)\n", + "\n", + "fig = plt.figure(figsize=(12, 4))\n", + "fig.subplots_adjust(wspace=0.3)\n", + "\n", + "ax = plt.subplot(1, 2, 1)\n", + "ax.set_xlabel(r'$\\lambda$ = input frequency / filter frequency')\n", + "ax.set_ylabel('scaling factor')\n", + "ax.axvline(1, color='#999', lw=0.5, label=r'$\\omega = \\phi$')\n", + "ax.axhline(f(1), color='#999', lw=0.5)\n", + "ax.plot(x, y, label='response')\n", + "ax.legend()\n", + "\n", + "ax = plt.subplot(1, 2, 2)\n", + "ax.set_xscale('log')\n", + "ax.set_yscale('log')\n", + "ax.set_xlabel(r'$\\lambda$ = input frequency / filter frequency')\n", + "ax.set_ylabel('scaling factor')\n", + "ax.axvline(1, color='#999', lw=0.5, label=r'$\\omega = \\phi$')\n", + "ax.axhline(f(1), color='#999', lw=0.5)\n", + "ax.plot(x, y, label='response')\n", + "ax.legend()\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "e37dc6d6", + "metadata": {}, + "source": [ + "Looking at the linear plot, we can clearly see that the filter has a strong effect on frequencies above $\\omega$, but already provides significant damping even at $\\phi = \\omega$.\n", + "In the log-log plot the effect seems a bit more dramatic: for $\\phi \\approx 10^{-1} \\omega$ there is very little filtering, but anything higher gets filtered out.\n", + "\n", + "This finally shows us why it's called a \"low-pass\" filter: only low frequencies (relative to $\\omega$) pass through unattenuated.\n", + "\n", + "When combined with a plot of the phase shift, the log-log plot above is called a [Bode plot](https://en.wikipedia.org/wiki/Bode_plot).\n", + "In many engineering applications the transient response is uninteresting (provided it can be made short), so people usually don't bother with all the above to figure it out.\n", + "Instead, they look only at the _frequency response_." + ] + }, + { + "cell_type": "markdown", + "id": "8b9b737b", + "metadata": {}, + "source": [ + "### Corner frequency and bandwidth\n", + "\n", + "At $\\phi = \\omega$, the filter reduces the signal by a factor $1 / \\sqrt{1 + \\lambda^2} = 1 / \\sqrt{2}$.\n", + "Because the _power_ of this signal is proportional to its square, $1/2$, and because $^{10}\\log(1/2) \\approx -3.01$ this is also known as the \"3[dB](https://en.wikipedia.org/wiki/Decibel) point\"." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "94ebcf66", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "-3.010299956639812" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "amplitude = 1 / np.sqrt(2) # The amplitude at phi=omega is 1/sqrt(2)\n", + "power = amplitude**2 # The power is proportional to amplitude**2\n", + "10*np.log10(1/2) # Engineers like decibels" + ] + }, + { + "cell_type": "markdown", + "id": "cf4fcea0", + "metadata": {}, + "source": [ + "In general, any frequency at which a filter's gain drops to $\\sqrt{1/2}$ is known as a _cutoff_ or [_corner frequency_](https://en.wikipedia.org/wiki/Cutoff_frequency).\n", + "\n", + "The width of the range of frequencies with a gain above $\\sqrt{1/2}$ is called the [bandwidth](https://en.wikipedia.org/wiki/Bandwidth_(signal_processing)).\n", + "For the low-pass filter above, both the cutoff frequency and the bandwidth have the value $\\omega$." + ] + }, + { + "cell_type": "markdown", + "id": "adc1c4cc", + "metadata": {}, + "source": [ + "### Equations for cos and sin" + ] + }, + { + "cell_type": "markdown", + "id": "2bfed6d2", + "metadata": {}, + "source": [ + "In summary, for the low-pass filter and a cosine input we found\n", + "\n", + "\\begin{align}\n", + "y(t) &= -\\frac{\\omega^2}{\\omega^2 + \\phi^2} e^{-\\omega t} + \\frac{\\omega}{\\sqrt{\\omega^2 + \\phi^2}} \\cos\\left(\\phi t - \\arctan(\\phi / \\omega)\\right) \\\\\n", + " &= -\\frac{1}{1 + \\lambda^2} e^{-\\omega t} + \\frac{1}{\\sqrt{1 + \\lambda^2}} \\cos\\left(\\phi t - \\arctan(\\lambda) \\right)\n", + "\\end{align}\n", + "\n", + "where $\\lambda = \\phi / \\omega$.\n", + "\n", + "We can repeat with a $\\sin$ input to find\n", + "\n", + "\\begin{align}\n", + "y(t) &= \\frac{\\omega\\phi}{\\omega^2 + \\phi^2} e^{-\\omega t} \n", + " + \\frac{\\omega}{\\sqrt{\\omega^2 + \\phi^2}} \\sin\\left(\\phi t - \\arctan(\\phi/\\omega)\\right) \\\\\n", + " &= \\frac{\\lambda}{1 + \\lambda^2} e^{-\\omega t} \n", + " + \\frac{1}{\\sqrt{1 + \\lambda^2}} \\sin\\left(\\phi t - \\arctan(\\lambda)\\right)\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "29c1de4a", + "metadata": {}, + "source": [ + "### Let's simulate\n", + "\n", + "We now use Myokit to simulate three cases: $\\lambda = 1/2$, $\\lambda = 1$, and $\\lambda = 2$.\n", + "\n", + "First we define a model for the cosine case:" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "6982ea37", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/michael/dev/myokit/myokit/__init__.py:65: UserWarning: Using development version of Myokit (1.37.4.dev).\n", + " warnings.warn(f'Using development version of Myokit ({__version__}).')\n" + ] + } + ], + "source": [ + "import myokit\n", + "\n", + "cos_model = myokit.parse_model('''\n", + "[[model]]\n", + "rc.v0 = 0\n", + "rc.v1 = 0\n", + "rc.v2 = 0\n", + "input(time, omega, lambda) = cos(lambda * omega * time)\n", + "\n", + "[rc]\n", + "t = 0 bind time\n", + "omega = 2\n", + "cos0 = input(t, omega, 1 / 2)\n", + "cos1 = input(t, omega, 1)\n", + "cos2 = input(t, omega, 2)\n", + "dot(v0) = (cos0 - v0) * omega\n", + "dot(v1) = (cos1 - v1) * omega\n", + "dot(v2) = (cos2 - v2) * omega\n", + "''')" + ] + }, + { + "cell_type": "markdown", + "id": "5a6312aa", + "metadata": {}, + "source": [ + "Next, we'll run a simulation and plot the results:" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "2ec8fc99", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sim = myokit.Simulation(cos_model)\n", + "sim.set_tolerance(1e-8, 1e-8)\n", + "log = sim.run(np.pi * 3).npview()\n", + "t = log.time()\n", + "\n", + "def amplitude(x):\n", + " \"\"\"Expected amplitude\"\"\"\n", + " return 1 / np.sqrt(1 + x**2)\n", + "\n", + "fig = plt.figure(figsize=(15, 5))\n", + "\n", + "ax = fig.add_subplot(1, 1, 1)\n", + "ax.set_title('Cosine simulations')\n", + "ax.set_ylim(-1.1, 1.1)\n", + "ax.plot(t, log['rc.v0'], label=r'$\\lambda = 1/2$')\n", + "ax.plot(t, log['rc.v1'], label=r'$\\lambda = 1$')\n", + "ax.plot(t, log['rc.v2'], label=r'$\\lambda = 2$')\n", + "kw = dict(color='#999', lw=0.5, ls='--')\n", + "ax.axhline(amplitude(1/2), **kw)\n", + "ax.axhline(amplitude(1), **kw)\n", + "ax.axhline(amplitude(2), **kw)\n", + "ax.legend(ncols=3)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "ab5437b5", + "metadata": {}, + "source": [ + "This shows the simulated voltages all starting at $V(t=0) = 0$, but then quickly adapting to become proper cosines.\n", + "Each signal is attenuated during the first period, but by the second period we see the peaks reach the expected amplitude for a pure signal.\n" + ] + }, + { + "cell_type": "markdown", + "id": "108098bc", + "metadata": {}, + "source": [ + "To check if our maths was any good, we can define functions using the derived equations for the transient and periodic terms, and compare them to the simulations:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "dbdea210", + "metadata": {}, + "outputs": [], + "source": [ + "omega = cos_model.get('rc.omega').eval()\n", + "\n", + "def cos_transient(t, x):\n", + " \"\"\"Transient, using x=lambda.\"\"\"\n", + " return -1 / (1 + x**2) * np.exp(-omega * t)\n", + "\n", + "def cos_periodic(t, x):\n", + " \"\"\"Sine wave with gain and phase shift.\"\"\"\n", + " return 1 / np.sqrt(1 + x**2) * np.cos(omega * x * t - np.arctan(x))" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "7e6d22cb", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(15, 9))\n", + "\n", + "ax = fig.add_subplot(2, 2, 1)\n", + "ax.set_title('Simulations, and subtracted transients')\n", + "ax.set_ylim(-1.1, 1.1)\n", + "ax.plot(t, log['rc.v0'], label=r'$\\lambda = 1/2$')\n", + "ax.plot(t, log['rc.v1'], label=r'$\\lambda = 1$')\n", + "ax.plot(t, log['rc.v2'], label=r'$\\lambda = 2$')\n", + "ax.plot(t, log['rc.v0'] - cos_transient(t, 1/2), '--', color='tab:blue', label='Simulation minus transient')\n", + "ax.plot(t, log['rc.v1'] - cos_transient(t, 1), '--', color='tab:orange', label='Simulation minus transient')\n", + "ax.plot(t, log['rc.v2'] - cos_transient(t, 2), '--', color='tab:green', label='Simulation minus transient')\n", + "ax.legend(ncols=2)\n", + "\n", + "ax = fig.add_subplot(2, 2, 2)\n", + "ax.set_title('Derived cosines')\n", + "ax.set_ylim(-1.1, 1.1)\n", + "ax.plot(t, cos_periodic(t, 0.5), '--', color='tab:blue') \n", + "ax.plot(t, cos_periodic(t, 1), '--', color='tab:orange')\n", + "ax.plot(t, cos_periodic(t, 2), '--', color='tab:green')\n", + "\n", + "ax = fig.add_subplot(2, 2, 3)\n", + "ax.set_title('Derived transients')\n", + "ax.set_ylim(-1.1, 1.1)\n", + "ax.plot(t, cos_transient(t, 0.5))\n", + "ax.plot(t, cos_transient(t, 1))\n", + "ax.plot(t, cos_transient(t, 2))\n", + "\n", + "ax = fig.add_subplot(2, 2, 4)\n", + "ax.set_title('Simulations minus derived cosines')\n", + "ax.set_ylim(-1.1, 1.1)\n", + "ax.plot(t, log['rc.v0'] - cos_periodic(t, 0.5))\n", + "ax.plot(t, log['rc.v1'] - cos_periodic(t, 1))\n", + "ax.plot(t, log['rc.v2'] - cos_periodic(t, 2))\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "badaae31", + "metadata": {}, + "source": [ + "We can repeat the exercise for the sine wave equations:" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "f9b341f4", + "metadata": {}, + "outputs": [], + "source": [ + "sin_model = myokit.parse_model('''\n", + "[[model]]\n", + "rc.v0 = 0\n", + "rc.v1 = 0\n", + "rc.v2 = 0\n", + "input(time, omega, lambda) = sin(lambda * omega * time)\n", + "\n", + "[rc]\n", + "t = 0 bind time\n", + "omega = 2\n", + "sin0 = input(t, omega, 1 / 2)\n", + "sin1 = input(t, omega, 1)\n", + "sin2 = input(t, omega, 2)\n", + "dot(v0) = (sin0 - v0) * omega\n", + "dot(v1) = (sin1 - v1) * omega\n", + "dot(v2) = (sin2 - v2) * omega\n", + "''')" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "147105b9", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sim = myokit.Simulation(sin_model)\n", + "sim.set_tolerance(1e-8, 1e-8)\n", + "log = sim.run(np.pi * 3).npview()\n", + "t = log.time()\n", + "\n", + "fig = plt.figure(figsize=(15, 5))\n", + "\n", + "ax = fig.add_subplot(1, 1, 1)\n", + "ax.set_title('Sine simulations')\n", + "ax.set_ylim(-1.1, 1.1)\n", + "ax.plot(t, log['rc.v0'], label=r'$\\lambda = 1/2$')\n", + "ax.plot(t, log['rc.v1'], label=r'$\\lambda = 1$')\n", + "ax.plot(t, log['rc.v2'], label=r'$\\lambda = 2$')\n", + "kw = dict(color='#999', lw=0.5, ls='--')\n", + "ax.axhline(amplitude(1/2), **kw)\n", + "ax.axhline(amplitude(1), **kw)\n", + "ax.axhline(amplitude(2), **kw)\n", + "ax.legend()\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "74ae6fe7", + "metadata": {}, + "source": [ + "Consistent with the positive transient term, the signals now all start off with high amplitudes before settling down to the expected filtering level.\n", + "\n", + "Next, we perform the same checks as before:" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "17efb2f1", + "metadata": {}, + "outputs": [], + "source": [ + "omega = sin_model.get('rc.omega').eval()\n", + "\n", + "def sin_transient(t, x):\n", + " \"\"\"Transient, using x=lambda.\"\"\"\n", + " return x / (1 + x**2) * np.exp(-omega * t)\n", + "\n", + "def sin_periodic(t, x):\n", + " \"\"\"Sine wave with gain and phase shift.\"\"\"\n", + " return 1 / np.sqrt(1 + x**2) * np.sin(omega * x * t - np.arctan(x))" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "e1c06f2c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(15, 9))\n", + "\n", + "ax = fig.add_subplot(2, 2, 1)\n", + "ax.set_title('Simulations, and subtracted transients')\n", + "ax.set_ylim(-1.1, 1.1)\n", + "ax.plot(t, log['rc.v0'], label=r'$\\lambda = 1/2$')\n", + "ax.plot(t, log['rc.v1'], label=r'$\\lambda = 1$')\n", + "ax.plot(t, log['rc.v2'], label=r'$\\lambda = 2$')\n", + "ax.plot(t, log['rc.v0'] - sin_transient(t, 1/2), '--', color='tab:blue', label='Simulation minus transient')\n", + "ax.plot(t, log['rc.v1'] - sin_transient(t, 1), '--', color='tab:orange', label='Simulation minus transient')\n", + "ax.plot(t, log['rc.v2'] - sin_transient(t, 2), '--', color='tab:green', label='Simulation minus transient')\n", + "ax.legend(ncols=2)\n", + "\n", + "ax = fig.add_subplot(2, 2, 2)\n", + "ax.set_title('Derived cosines')\n", + "ax.set_ylim(-1.1, 1.1)\n", + "ax.plot(t, sin_periodic(t, 0.5), '--', color='tab:blue') \n", + "ax.plot(t, sin_periodic(t, 1), '--', color='tab:orange')\n", + "ax.plot(t, sin_periodic(t, 2), '--', color='tab:green')\n", + "\n", + "ax = fig.add_subplot(2, 2, 3)\n", + "ax.set_title('Derived transients')\n", + "ax.set_ylim(-1.1, 1.1)\n", + "ax.plot(t, sin_transient(t, 0.5), label=r'$\\lambda=1/2$')\n", + "ax.plot(t, sin_transient(t, 1), label=r'$\\lambda=1/2$')\n", + "ax.plot(t, sin_transient(t, 2), 'k:', label=r'$\\lambda=1/2$')\n", + "ax.legend()\n", + "\n", + "ax = fig.add_subplot(2, 2, 4)\n", + "ax.set_title('Simulations minus derived cosines')\n", + "ax.set_ylim(-1.1, 1.1)\n", + "ax.plot(t, log['rc.v0'] - sin_periodic(t, 0.5))\n", + "ax.plot(t, log['rc.v1'] - sin_periodic(t, 1))\n", + "ax.plot(t, log['rc.v2'] - sin_periodic(t, 2), 'k:')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "0a7221fa", + "metadata": {}, + "source": [ + "## General frequency response\n", + "\n", + "To see how the above examples generalise, we start with an impulse response $h(t)$ **for a stable system** and a cosine input\n", + "\n", + "$$u(t) = \\cos(\\omega t)$$\n", + "to get output\n", + "$$y(t) = \\int_0^t h(\\tau)\\cos(\\omega(t - \\tau))d\\tau$$\n", + "which we can write as\n", + "$$y(t) = \\int_0^\\infty h(\\tau)\\cos(\\omega(t - \\tau))d\\tau - \\int_t^\\infty h(\\tau)\\cos(\\omega(t - \\tau))d\\tau$$\n", + "\n", + "This seems like a crazy thing to do, but recall that this is an equation _for a single value_ $y$ of $t$.\n", + "Because the system is _stable_, its impulse response $h(t)$ will dampen out for increasing values of $t$.\n", + "As a result, the multiplication by $h(\\tau)$ will cause **the second term to get very small for large values of the starting point of the integral, $t$**:" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "dc683065", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(15, 2.5))\n", + "\n", + "f = lambda x: np.exp(-x)\n", + "x = np.linspace(0, 10, 1001)\n", + "y = f(x)\n", + "\n", + "ax = fig.add_subplot(1, 3, 1)\n", + "ax.set_xlim(0, 10); ax.set_ylim(0, 1)\n", + "ax.plot(x, y)\n", + "ax.fill_between(x, y, alpha=0.2)\n", + "ax.text(2, 0.5, r'$\\int h$ from 0 to $\\infty$')\n", + "ax.text(2, 0.35, '$A=1$')\n", + "\n", + "ax = fig.add_subplot(1, 3, 2)\n", + "ax.set_xlim(0, 10); ax.set_ylim(0, 1)\n", + "ax.axvline(x[200], color='k', lw=1)\n", + "ax.plot(x, y)\n", + "ax.fill_between(x[200:], y[200:], alpha=0.2)\n", + "ax.text(2.5, 0.5, r'$\\int h$ from 2 to $\\infty$')\n", + "ax.text(2.5, 0.4, f'$A\\\\approx{np.exp(-2):.3}$')\n", + "\n", + "ax = fig.add_subplot(1, 3, 3)\n", + "ax.set_xlim(0, 10); ax.set_ylim(0, 1)\n", + "ax.axvline(x[400], color='k', lw=1)\n", + "ax.plot(x, y)\n", + "ax.fill_between(x[400:], y[400:], alpha=0.2)\n", + "ax.text(4.5, 0.5, r'$\\int h$ from 4 to $\\infty$')\n", + "ax.text(4.5, 0.4, f'$A \\\\approx{np.exp(-4):.3}$')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "51c3a3f1", + "metadata": {}, + "source": [ + "By contrast, the integral in the first term\n", + "$$y_{ss}(t) = \\int_0^\\infty h(\\tau)\\cos(\\omega(t - \\tau))d\\tau$$\n", + "is always taken from 0 to $\\infty$, so over the full range of $h$, capturing its full \"weight\" of 1.\n", + "\n", + "This splits the system into a **periodic steady-state response** (first term) and a **transient response** (second term).\n", + "\n", + "Assuming that we're only interested in the periodic steady-state response, $y_{ss}$, we can then analyse the system by looking at $y_{ss}$ exclusively:\n", + "\n", + "\\begin{align}\n", + "y_{ss}(t)\n", + " &= \\int_0^\\infty h(\\tau)\\cos(\\omega(t - \\tau))d\\tau \\\\\n", + " &= \\frac{1}{2} \\int_0^\\infty h(\\tau)\\left(e^{i\\omega(t - \\tau)} + e^{-i\\omega(t - \\tau)}\\right)d\\tau \\\\\n", + " &= \\frac{1}{2} e^{i\\omega t} \\int_0^\\infty h(\\tau)e^{-i\\omega\\tau} d\\tau +\n", + " \\frac{1}{2} e^{-i\\omega t} \\int_0^\\infty h(\\tau)e^{i\\omega\\tau} d\\tau \\\\\n", + " &= \\frac{1}{2} e^{i\\omega t} H(i\\omega) + \\frac{1}{2} e^{-i\\omega t} H(-i\\omega) \\\\\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "10125dc2", + "metadata": {}, + "source": [ + "where we have isolated $H(i\\omega)$ and $H(-i\\omega)$: two _evaluations_ of the transfer function!\n", + "\n", + "To go further, we first need to show that $H(-i\\omega)$ and $H(i\\omega)$ are each other's complex conjugates, i.e. $\\overline{H(-i\\omega)}=H(i\\omega)$.\n", + "We can do this simply by writing them out:\n", + "\n", + "\\begin{align}\n", + "H(-i\\omega) = \\int_0^\\infty h(t)e^{i\\omega t}dt\n", + " = \\int_0^\\infty h(t)\\cos(\\omega t)dt + i \\int_0^\\infty h(t)\\sin(\\omega t)dt\n", + "\\end{align}\n", + "\n", + "Here the first and second terms are the real and imaginary parts of $H(-i\\omega)$ (because $h$ and $\\cos$ and $\\sin$ all return real values).\n", + "We do the same for $H(i\\omega)$:\n", + "\n", + "\\begin{align}\n", + "H(i\\omega) &= \\int_0^\\infty h(t)e^{-i\\omega t}dt \\\\\n", + " &= \\int_0^\\infty h(t)\\cos(-\\omega t)dt + i \\int_0^\\infty h(t)\\sin(-\\omega t)dt \\\\\n", + " &= \\int_0^\\infty h(t)\\cos(\\omega t)dt - i \\int_0^\\infty h(t)\\sin(\\omega t)dt \\\\\n", + " &= \\overline{H(-i\\omega)} &\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "490bf0f7", + "metadata": {}, + "source": [ + "Now, using $R=\\operatorname{Re}(H(i\\omega))$ and $I=\\operatorname{Im}(H(i\\omega))$ we can write\n", + "\n", + "\\begin{align}\n", + "y_{ss}(t)\n", + " &= \\frac{1}{2} \\left[ e^{i\\omega t} H(i\\omega) + e^{-i\\omega t} H(-i\\omega) \\right] \\\\\n", + " &= \\frac{1}{2} \\left[ e^{i\\omega t} H(i\\omega) + e^{-i\\omega t} \\overline{H(i\\omega)} \\right] \\\\\n", + " &= \\frac{1}{2} \\left[ e^{i\\omega t} R + i e^{i\\omega t} I + e^{-i\\omega t} R - i e^{-i\\omega t} I \\right] \\\\\n", + " &= \\frac{1}{2} \\left[ (e^{i\\omega t} + e^{-i\\omega t}) R + i (e^{i\\omega t} - i e^{-i\\omega t}) I \\right] \\\\\n", + " &= R\\cos(\\omega t) - I\\sin(\\omega t) \\\\\n", + "\\end{align}\n", + "\n", + "Finally, using the harmonic addition theorem in atan2 form (see above), we get\n", + "\n", + "\\begin{align}\n", + "y_{ss}(t) = |H(i\\omega)| \\cos(\\omega t + \\angle H(i\\omega))\n", + "\\end{align}\n", + "\n", + "where $|H(iw)| = \\sqrt{R^2 + I^2}$ and $\\angle H(i\\omega) = \\operatorname{atan2}(I, R)$.\n", + "\n", + "This shows that we can write a **stable** system's _periodic steady state response_ to a cosine input with frequency $\\omega$ in terms of the transfer function evaluated at $H(i\\omega)$.\n", + "If we allow $\\omega$ to vary, the resulting function $H(i\\omega)$ is called the system's _frequency response_.\n", + "\n", + "Repeating the steps above with a sine input, we find\n", + "\n", + "\\begin{align}\n", + "y_{ss,cos}(t) = |H(i\\omega)| \\cos(\\omega t + \\angle H(i\\omega)) \\\\\n", + "y_{ss,sin}(t) = |H(i\\omega)| \\sin(\\omega t + \\angle H(i\\omega))\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "dba28c61", + "metadata": {}, + "source": [ + "### The low-pass filter again\n", + "\n", + "We now apply this general procedure to the low-pass filter we analysed before.\n", + "Because we used $\\omega$ for its filter frequency, we'll use $\\phi$ for the input frequency and $H(i\\phi)$ for the frequency response.\n", + "\n", + "\\begin{align}\n", + "H(s) &= \\frac{\\omega}{s + \\omega} \\\\\n", + "H(i\\phi) &= \\frac{\\omega}{\\omega+i\\phi}\n", + " = \\frac{\\omega(\\omega-i\\phi)}{(\\omega+i\\phi)(\\omega-i\\phi)}\n", + " = \\frac{\\omega^2 - i\\omega\\phi}{\\omega^2 + \\phi^2}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "|H(i\\phi)| = \\frac{|\\omega|}{|\\omega+i\\phi|}\n", + " = \\frac{\\omega}{\\sqrt{\\omega^2 + \\phi^2}}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "\\angle H(i\\phi) = \\arctan(-\\omega\\phi / \\omega^2) \n", + " = \\arctan(-\\phi / \\omega)\n", + " = -\\arctan(\\phi / \\omega)\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "083f3e94", + "metadata": {}, + "source": [ + "And so\n", + "\\begin{align}\n", + "y_{ss,\\cos} &= \\frac{\\omega}{\\sqrt{\\omega^2 + \\phi^2}} \\cos\\left(\\phi t - \\arctan(\\phi/\\omega)\\right) \\\\\n", + "y_{ss,\\sin} &= \\frac{\\omega}{\\sqrt{\\omega^2 + \\phi^2}} \\sin\\left(\\phi t - \\arctan(\\phi/\\omega)\\right)\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "20fb7cbe", + "metadata": {}, + "source": [ + "## More filters!\n", + "\n", + "A general strategy to analyse filters is to look at $H(i\\omega)$, work out $|H(i\\omega)|$ and $\\angle H(i\\omega)$, and then make a Bode plot." + ] + }, + { + "cell_type": "markdown", + "id": "fd49d887", + "metadata": {}, + "source": [ + "### A first-order low-pass filter, one last time" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "60cca6f0", + "metadata": { + "scrolled": true + }, + "outputs": [], + "source": [ + "def bode(mag, arg, axes=None, lo=1e-2, hi=1e5, **kwargs):\n", + " lo, hi = np.log10(lo), np.log10(hi)\n", + " w = np.logspace(lo, hi, 1001, base=np.e)\n", + "\n", + " if axes is None:\n", + " fig = plt.figure(figsize=(9, 6))\n", + " fig.subplots_adjust(hspace=0.2)\n", + " ax0 = fig.add_subplot(2, 1, 1)\n", + " ax0.set_xscale('log')\n", + " ax0.set_yscale('log')\n", + " ax0.set_ylabel('Gain')\n", + " ax0.grid()\n", + "\n", + " ax1 = fig.add_subplot(2, 1, 2)\n", + " ax1.set_xscale('log')\n", + " ax1.set_xlabel('Angular frequency')\n", + " ax1.set_ylabel('Phase shift (degrees)')\n", + " ax1.grid()\n", + " else:\n", + " ax0, ax1 = axes\n", + "\n", + " label=None\n", + " if kwargs:\n", + " label=','.join(f'{k}={v}' for k, v in kwargs.items())\n", + "\n", + " ax0.plot(w, mag(w, **kwargs), label=None)\n", + " ax1.plot(w, arg(w, **kwargs) * 180 / np.pi, label=label)\n", + " if label is not None:\n", + " ax1.legend()\n", + " \n", + " return ax0, ax1" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "8e2f5c79", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "w_filter = 1\n", + "mag = lambda w: w_filter / np.sqrt(w_filter**2 + w**2)\n", + "arg = lambda w: np.arctan(-w / w_filter)\n", + "bode(mag, arg)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "159edacf", + "metadata": {}, + "source": [ + "### A first-order high-pass filter\n", + "\n", + "We'll use\n", + "\\begin{align}\n", + "H(s) = \\frac{s}{s + \\omega}\n", + "\\end{align}\n", + "so that\n", + "\\begin{align}\n", + "H(i\\phi) &= \\frac{i\\phi}{\\omega+i\\phi} = \\frac{\\phi^2 + i\\omega\\phi}{\\omega^2-\\phi^2} \\\\\n", + "|H(i\\phi)| &= \\frac{|i\\phi|}{|\\omega+i\\phi|} = \\frac{\\phi}{\\sqrt{\\omega^2+\\phi^2}} \\\\\n", + "\\angle H(i\\phi) &= \\arctan(\\omega / \\phi)\n", + "\\end{align}" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "d5e1ad13", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "w_filter = 1\n", + "mag = lambda w: w / np.sqrt(w_filter**2 + w**2)\n", + "arg = lambda w: np.arctan(w_filter / w)\n", + "bode(mag, arg)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "4291ad50", + "metadata": {}, + "source": [ + "### A second-order system as a filter\n", + "\n", + "Starting from\n", + "\\begin{align}\n", + "H(s) = \\frac{1}{s^2 + 2 \\zeta \\omega s + \\omega^2}\n", + "\\end{align}\n", + "(see above) we can derive\n", + "\\begin{align}\n", + "|H(i\\phi)| &= \\frac{1}{\\sqrt{(\\omega^2 - \\phi^2)^2 + (2\\zeta\\omega\\phi)^2}} \\\\\n", + "\\angle H(i\\phi) &= \\operatorname{atan2} \\left(2\\zeta\\omega\\phi, \\omega^2 + \\phi^2 \\right)\n", + "\\end{align}" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "070f51b8", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "w_filter = 1\n", + "mag = lambda w, zeta: 1 / np.sqrt((w_filter**2 - w**2)**2 + (2*zeta*w_filter*w)**2)\n", + "arg = lambda w, zeta: np.arctan2(-2*zeta*w*w_filter, w_filter**2 - w**2)\n", + "w_hi = 100\n", + "axes = bode(mag, arg, hi=w_hi, zeta=2)\n", + "axes = bode(mag, arg, axes, hi=w_hi, zeta=1)\n", + "axes = bode(mag, arg, axes, hi=w_hi, zeta=0.5)\n", + "axes = bode(mag, arg, axes, hi=w_hi, zeta=0.3)\n", + "axes = bode(mag, arg, axes, hi=w_hi, zeta=0.1)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "a0cf8c1b", + "metadata": {}, + "source": [ + "### Three-pole Bessel low-pass filter\n", + "\n", + "A [Bessel filter](https://en.wikipedia.org/wiki/Bessel_filter) is a filter with a transfer function that has a [reverse Bessel polynomial](https://en.wikipedia.org/wiki/Bessel_polynomials) in its denominator.\n", + "The numerator is a scaling term which is usually set to achieve unity gain for $s = 0$.\n", + "\n", + "For example, a three-pole Bessel low-pass filter is given as:\n", + "\n", + "\\begin{align}\n", + "H(s) = \\frac{15}{s^3 + 6s^2 + 15s + 15}\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "2ab08077", + "metadata": {}, + "source": [ + "\"Reverse Bessel polynomials\" are defined as\n", + "\n", + "\\begin{align}\n", + "\\sum_{k=0}^{n} \\frac{(n + k)!}{(n - k)!k!}\\frac{x^{n-k}}{2^k}\n", + "\\end{align}\n", + "\n", + "so it's a good thing we invented computers." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "1417594a", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1, 6, 15, 15]\n" + ] + } + ], + "source": [ + "import math\n", + "\n", + "def revbes(n):\n", + " \"\"\" Returns the coefficients for a reverse Bessel polynomial. \"\"\"\n", + " f = math.factorial\n", + " return [int(f(n + k) / (f(n - k) * f(k) * 2**k))\n", + " for k in range(n + 1)]\n", + " \n", + "print(revbes(3))" + ] + }, + { + "cell_type": "markdown", + "id": "9314ae2e", + "metadata": {}, + "source": [ + "Alternatively, they are defined as having poles spaced equally on the left-part of a circle, with half-spacing before the first and after the last point.\n", + "\n", + "For three poles, this works out as:\n", + "\n", + "\\begin{align}\n", + "x_0, y_0 &= \\sqrt{5}/3, \\, 2/3 \\\\\n", + "x_1, y_1 &= 1, \\, 0 \\\\\n", + "x_2, y_2 &= \\sqrt{5}/3, \\, -2/3\n", + "\\end{align}" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "b32844ce", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "x = np.sqrt(5)/3\n", + "y = 2/3\n", + "\n", + "t = np.linspace(0, np.pi*2, 100)\n", + "s = dict(color='#999', lw=0.5)\n", + "\n", + "fig = plt.figure()\n", + "ax = fig.add_subplot()\n", + "ax.set_aspect('equal')\n", + "ax.set_xlim(-1.5, 1.1)\n", + "ax.axhline(0, **s)\n", + "ax.axvline(0, **s)\n", + "ax.plot(np.cos(t), np.sin(t), **s)\n", + "ax.plot([-x, -1, -x], [y, 0, -y], 'rx')\n", + "kw = dict(fontsize='large')\n", + "ax.text(-x - 0.2, y, '$x_0$', **kw)\n", + "ax.text(-1 - 0.2, 0.01, '$x_1$', **kw)\n", + "ax.text(-x - 0.2, -y, '$x_2$', **kw)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "9168c9ff", + "metadata": {}, + "source": [ + "To work out its frequency response we need to evaluate $|H(i\\omega)|$ and $\\angle H(i\\omega)$.\n", + "\n", + "As it happens, Wikipedia provides expressions for both:" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "d6dc7584", + "metadata": {}, + "outputs": [], + "source": [ + "def mag_wiki(w):\n", + " return 15 / np.sqrt(w**6 + 6*w**4 + 45*w**2 + 225)\n", + "\n", + "def arg_wiki(w):\n", + " return np.arctan2((15*w - w**3), (15 - 6*w**2))" + ] + }, + { + "cell_type": "markdown", + "id": "c628e537", + "metadata": {}, + "source": [ + "But we can also be lazy and let Python do the work" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "14a2d517", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def mag(w):\n", + " x = 0 + 1j * w\n", + " return np.abs(15 / (x**3 + 6*x**2 + 15*x + 15))\n", + " \n", + "def arg(w):\n", + " x = 0 + 1j * w\n", + " return -np.angle(15 / (x**3 + 6*x**2 + 15*x + 15))\n", + "\n", + "axes = bode(mag, arg)\n", + "axes = bode(mag_wiki, arg_wiki, axes=axes)\n", + "plt.show() " + ] + }, + { + "cell_type": "markdown", + "id": "bee4a47e", + "metadata": {}, + "source": [ + "If we're not worried about performance, we can even write" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "ca2a0c1d", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def bes(w, n):\n", + " x = 0 + 1j * w\n", + " a = revbes(n)\n", + " b = np.array([x**(n - i) for i in range(1 + n)])\n", + " return a[-1] / np.sum(a * b.T, axis=1)\n", + "\n", + "def mag(w, n):\n", + " return np.abs(bes(w, n))\n", + " \n", + "def arg(w, n):\n", + " return -np.angle(bes(w, n))\n", + "\n", + "axes = bode(mag, arg, n=3)\n", + "axes = bode(mag, arg, n=4, axes=axes)\n", + "axes = bode(mag, arg, n=5, axes=axes)\n", + "axes = bode(mag, arg, n=6, axes=axes)\n", + "plt.show() " + ] + }, + { + "cell_type": "markdown", + "id": "3d58bedd", + "metadata": {}, + "source": [ + "To do the actual filtering, we can try using SciPy, although the API is a bit of a nightmare:" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "51c10ea0", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import scipy.signal\n", + "\n", + "t = np.linspace(0, 1, 10001)\n", + "f = 1 / t[1] # Sampling frequency, in Hz\n", + "w = 50 # Cut-off frequency, in Hz\n", + "\n", + "def sin(x, f):\n", + " \"\"\" Draw a sine wave with frequency f. \"\"\"\n", + " return np.sin(2 * np.pi * f * x)\n", + "\n", + "def low_pass(data, w, f, n=3):\n", + " \"\"\" Apply a Bessel low-pass filter with cut-off w (in Hz). \"\"\"\n", + " # For whatever reason, scipy's API wants you to specify\n", + " # frequencies as fractions of half the sampling frequency.\n", + " w = w / (f / 2)\n", + " b, a = scipy.signal.bessel(n, w, btype='lowpass')\n", + " return scipy.signal.filtfilt(b, a, data)\n", + "\n", + "x = sin(t, 2)\n", + "y = x + sin(t, 50)\n", + "\n", + "fig = plt.figure(figsize=(15, 4))\n", + "ax = fig.add_subplot()\n", + "ax.plot(t, x, label='Original')\n", + "ax.plot(t, y, label='Noisy')\n", + "w = 6\n", + "ax.plot(t, low_pass(x, w, f, n=3), label='3d order filter')\n", + "ax.plot(t, low_pass(x, w, f, n=6), label='6th order filter')\n", + "ax.legend(ncol=4, framealpha=1)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "d060618b", + "metadata": {}, + "source": [ + "Because we filtered quite close to the signal frequency, we see a lot of distortion, especially with the higher order filter (which is more aggresive).\n", + "This disappears when we raise the filter frequency:" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "5d02eec3", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(15, 8))\n", + "ax = fig.add_subplot(2, 1, 1)\n", + "ax.plot(t, x, label='Original')\n", + "ax.plot(t, y, label='Noisy')\n", + "w = 30\n", + "ax.plot(t, low_pass(x, w, f, n=3), label='3d order filter')\n", + "ax.plot(t, low_pass(x, w, f, n=6), label='6th order filter')\n", + "ax.legend(ncol=4, framealpha=1)\n", + "ax = fig.add_subplot(2, 1, 2)\n", + "ax.plot(t, x, label='Original')\n", + "ax.plot(t, y, label='Noisy')\n", + "ax.plot(t, low_pass(x, w, f, n=3), label='3d order filter')\n", + "ax.plot(t, low_pass(x, w, f, n=6), label='6th order filter')\n", + "ax.set_xlim(0.55, 0.65)\n", + "ax.set_ylim(0.8, 1.1)\n", + "plt.show()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.2" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/artefacts/appendix-A3-non-ideal-op-amp.ipynb b/artefacts/appendix-A3-non-ideal-op-amp.ipynb new file mode 100644 index 0000000..ff23b0e --- /dev/null +++ b/artefacts/appendix-A3-non-ideal-op-amp.ipynb @@ -0,0 +1,663 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "730357a8", + "metadata": {}, + "source": [ + "# Appendix A3: Non-ideal op amps\n", + "**Appendix A provides extra background for path clamp electronics.**" + ] + }, + { + "cell_type": "markdown", + "id": "11447cae", + "metadata": {}, + "source": [ + "In this notebook we go a little bit further than [Appendix A1](./appendix-A1-op-amp.ipynb) and consider the _speed_ of an op amp, using some of the concepts from [Appendix A2](./appendix-A2-laplace-and-filters.ipynb).\n", + "\n", + "Analysis of non-ideal op amps is usually divided into two parts:\n", + "- In the _small signal_ range the amplifier acts \"linearly\": its gain within this range does not depend on the absolute values of $V_+$ and $V_-$, and there are no history effects.\n", + "- In the _large signal_ range, everything gets more complicated: the amp moves towards its intended amplification with a finite \"slew rate\", it can saturate and then needs to recover, oscillations occur etc.\n", + "\n", + "For our purposes, it should be easy to choose an op amp that we can use within its small signal range, so **we fill focus on small signal only**.\n", + "The large signal case is much more interesting, so be aware when searching the literature that unless stated otherwise they are probably going for the large signal case.\n", + "Similarly, almost everything you find about op-amps is in terms of their _frequency response_, while for patch-clamp we are almost exclusively interested in their _transient_ response." + ] + }, + { + "cell_type": "markdown", + "id": "0e051b1d", + "metadata": {}, + "source": [ + "## Feedback amplifier: general equation\n", + "\n", + "Given any amplifier with an _open-loop gain_ $A_{OL}$ such that $V_\\text{out} = A_\\text{OL} V_\\text{in}$, we can write an expression for the [gain reduction](https://en.wikipedia.org/wiki/Negative-feedback_amplifier) when some portion $\\beta$ of the output is fed back into the input.\n", + "If this is negative feedback, we can write it as $-\\beta V_\\text{out}$ to get\n", + "\n", + "\\begin{align}\n", + "V_\\text{out} = A_\\text{OL}\\left( V_\\text{in} - \\beta V_\\text{out} \\right)\n", + "\\end{align}\n", + "to find\n", + "\\begin{align}\n", + "A_\\text{FB} = \\frac{V_\\text{out}}{V_\\text{in,CL}} = \\frac{A_\\text{OL}}{1 + \\beta A_\\text{OL}}\n", + "\\end{align}\n", + "\n", + "where $A_\\text{FB}$ is the _closed-loop gain_.\n", + "For a large open-loop gain, we obtain $A_\\text{FB} = \\frac{1}{1/A_\\text{OL} + \\beta} \\approx 1 / \\beta$." + ] + }, + { + "cell_type": "markdown", + "id": "d51efc3d", + "metadata": {}, + "source": [ + "### $V_\\text{in}$ for open and closed-loop is not always the same\n", + "\n", + "The above notation works well for block diagrams, as shown on the left in the figure below:\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "id": "4f61c6e5", + "metadata": {}, + "source": [ + "But when we use $V_\\text{in}$ for op amps, we need to be a bit careful about how we define it.\n", + "\n", + "For the open-loop case, we can use either $V_\\text{in} = V_+ - V_-$, or $V_\\text{in} = V_+,\\, V_- = 0$, where the first version is more general and seems to be preferred.\n", + "\n", + "For the closed-loop configuration we have to use $V_\\text{in} = V_+$." + ] + }, + { + "cell_type": "markdown", + "id": "ebbb9b3e", + "metadata": {}, + "source": [ + "Using the above definition, we get\n", + "\n", + "\\begin{align}\n", + "V_\\text{out} = \\frac{A}{1 + \\left(\\frac{R_2}{R_1 + R_2}\\right) A} V_\\text{in}\n", + "\\end{align}\n", + "or\n", + "\\begin{align}\n", + "\\beta = \\frac{R_2}{R_1 + R_2}\n", + "\\end{align}\n", + "\n", + "for the non-inverting negative feedback op amp with finite gain." + ] + }, + { + "cell_type": "markdown", + "id": "3e0bdd01", + "metadata": {}, + "source": [ + "## Dominant pole approximation\n", + "\n", + "Op-amps are complex devices that have a very non-trivial transfer function.\n", + "However, to simplify their analysis and use, they are commonly designed to have a _dominant pole_, so that we can approximate their transfer function with a _dominant pole approximation_.\n", + "\n", + "For op-amps, a commonly used approximate transfer function is that of a low-pass filter (see [Appendix A2](./appendix-A2-laplace-and-filters.ipynb)), with an additional amplification factor $A_0$:\n", + "\n", + "\\begin{align}\n", + "H(s) = \\frac{V_\\text{out}}{V_\\text{in}} = A_\\text{OL}(s) = \\frac{A_0}{1 + s/\\omega_c}\n", + "\\end{align}\n", + "\n", + "where $\\omega_c$ is the [corner frequency](https://en.wikipedia.org/wiki/Cutoff_frequency) (the frequency at which the response begins to change dramatically).\n", + "For op-amps and low-pass filters, the corner frequency is also the [bandwidth](https://en.wikipedia.org/wiki/Bandwidth_(signal_processing)) (the range of frequencies that are let through without more than a factor $1/\\sqrt{2}$ loss of gain)." + ] + }, + { + "cell_type": "markdown", + "id": "b22793e8", + "metadata": {}, + "source": [ + "### Closed-loop response\n", + "\n", + "Combining the above equations (just like on [wikipedia](https://en.wikipedia.org/wiki/Negative-feedback_amplifier)) we find:\n", + "\n", + "\\begin{align}\n", + "A_\\text{FB}(s) \n", + " &= \\frac{A_\\text{OL}(s)}{1 + \\beta A_\\text{OL}} \\\\\n", + " &= \\frac{A_0 / (1 + i s/\\omega_c)}{1 + \\beta A_0 / (1 + i s/\\omega_c)} \\\\\n", + " &= \\frac{A_0}{(1 + i s/\\omega_c) + \\beta A_0 }\n", + " = \\frac{A_0}{i s/\\omega_c + (1 + \\beta A_0) } \\\\\n", + " &= \\left( \\frac{A_0}{1 + \\beta A_0}\\right) \\frac{1}{1 + i s/((1 + \\beta A_0) \\omega_c) } \\\\\n", + "\\end{align}\n", + "\n", + "which shows that the response is still a single pole one.\n", + "However, the gain has been reduced by a factor $1 + \\beta A_0$ while the cutoff frequency (or bandwidth) is increased by a factor $1 + \\beta A_0$.\n", + "This is known as the gain-bandwidth trade-off." + ] + }, + { + "cell_type": "markdown", + "id": "e38695d2", + "metadata": {}, + "source": [ + "### Bode plot / frequency response\n", + "\n", + "In Appendix A2, we saw that systems with a transfer function\n", + "$$H(s) = \\frac{\\omega_c}{s + \\omega_c}$$\n", + "have a frequency response with gain\n", + "\\begin{align}\n", + "|H(i\\omega)|\n", + " = \\frac{\\omega_c}{\\sqrt{\\omega_c^2 + \\omega^2}}\n", + " = \\frac{1}{\\sqrt{1 + (\\omega/\\omega_c)^2}}\n", + "\\end{align}\n", + "\n", + "This lets us draw the top-half of a Bode plot for the open-loop configuration:" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "76b6eaee", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "fig = plt.figure()\n", + "ax = fig.add_subplot()\n", + "ax.set_xscale('log')\n", + "ax.set_yscale('log')\n", + "ax.set_xlabel('Normalised angular frequency $\\omega/\\omega_c$')\n", + "ax.set_ylabel('Gain (frequency response)')\n", + "ax.grid()\n", + "\n", + "lo, hi = np.log10(1e-5), np.log10(1e5)\n", + "w = np.logspace(lo, hi, 1001, base=np.e)\n", + "g = 1 / np.sqrt(1 + w**2)\n", + "ax.plot(w, g)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "dfcb0c83", + "metadata": {}, + "source": [ + "Now we can apply our equation using $A_0 = 1$ and $\\beta = 9$ to find the closed-loop equivalent:" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "36273c38", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "a = 1\n", + "beta = 0.9\n", + "\n", + "fig = plt.figure()\n", + "ax = fig.add_subplot()\n", + "ax.set_xscale('log')\n", + "ax.set_yscale('log')\n", + "ax.set_xlabel('Normalised angular frequency $\\omega/\\omega_c$')\n", + "ax.set_ylabel('Gain (frequency response)')\n", + "ax.grid()\n", + "\n", + "lo, hi = np.log10(1e-5), np.log10(1e3)\n", + "w = np.logspace(lo, hi, 1001, base=np.e)\n", + "g0 = 1 / np.sqrt(1 + (w / 1)**2)\n", + "g1 = (a / (1 + beta * a)) / np.sqrt(1 + (w / (1 + beta * a))**2)\n", + "ax.plot(w, g0, label='Open loop')\n", + "ax.plot(w, g1, label='Closed loop')\n", + "ax.legend()\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "f49fc583", + "metadata": {}, + "source": [ + "From all this, we conclude that we can handle the open loop and the non-inverting closed-loop configurations with the same equations." + ] + }, + { + "cell_type": "markdown", + "id": "2b1ead94", + "metadata": {}, + "source": [ + "## Op amp step response\n", + "\n", + "Assuming a dominant pole, we can write the step response as\n", + "\n", + "\\begin{align}\n", + "Y(s) = H(s) U(s) \n", + " &= A_0 \\frac{\\omega_c}{s + \\omega_c} \\frac{V_\\text{in}}{s} \\\\\n", + " &= A_0 V_\\text{in} \\frac{\\omega_c}{s(s + \\omega_c)}\n", + "\\end{align}\n", + "\n", + "where we have assumed $U(s)$ is a step function ($1/s$) scaled by the constant _input voltage_ $V_\\text{in} = V_+ - V_-$.\n", + "We also assume that $y(0) = 0$.\n", + "We can translate this back using [a table](https://en.wikipedia.org/wiki/List_of_Laplace_transforms) to find\n", + "\n", + "\\begin{align}\n", + "y(t) = A_0 V_\\text{in} (1 - e^{-\\omega_c t})\n", + "\\end{align}\n", + "\n", + "This means that, if $\\omega_c$ is a large enough number, $y(t) = V_\\text{out}$ rapidly settles at\n", + "\n", + "\\begin{align}\n", + "V_\\text{out} = A_0 (V_+ - V_-)\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "05ac08f9", + "metadata": {}, + "source": [ + "## Equation used in Sigworth papers" + ] + }, + { + "cell_type": "markdown", + "id": "c37d770c", + "metadata": {}, + "source": [ + "To model an op amp with a finite speed, [Sigworth 1995a](https://doi.org/10.1007/978-1-4419-1229-9_4) uses the equation\n", + "\n", + "\\begin{align}\n", + "\\frac{d}{dt} V_\\text{out} = \\omega_A (V_+ - V_-) = \\frac{V_+ - V_-}{\\tau_a}\n", + "\\end{align}\n", + "\n", + "where $\\omega_A = 1/\\tau_a$ is the gain-bandwidth product (GBP) in radians, so $\\omega_A = 2 \\pi f_A$ for the more common representation in Hz.\n", + "\n", + "**I'm not sure where this equation is from**, and can't find it in popular op-amp books (which are more about frequency response, large signal deviations, or things you can build with op amps).\n", + "\n", + "It makes some intuitive sense: $V_\\text{out}$ will increase as long as $V_- < V_+$, and decrease when $V_- > V_+$, so connecting $V_\\text{out}$ to $V_-$ should indeed give us a feedback amplifier that tries to make $V_-$ equal $V_+$ with some delay determined by $\\tau_a$.\n", + "However, in an open-loop configuration with $V_+ \\neq V_-$ the equation predicts an infinitely increasing gain.\n", + "\n", + "A deduction might be be something like this:\n", + "Starting from\n", + "\n", + "\\begin{align}\n", + "V_\\text{out} = A_0 V_\\text{in} (1 - e^{-\\omega_c t})\n", + "\\end{align}\n", + "\n", + "We can assume a constant $V_\\text{in}$ and take the derivative to find\n", + "\n", + "\\begin{align}\n", + "\\frac{d}{dt} V_\\text{out} = A_0 \\omega_c V_\\text{in} e^{-\\omega_c t} = \\omega_A (V_+ - V_-) e^{-\\omega_c t}\n", + "\\end{align}\n", + "\n", + "Then, for very small $t$ you could assume that $\\dot{V}_\\text{out} \\approx A_0 \\omega_c V_\\text{in} = \\omega_A (V_+ - V_-)$.\n", + "Alternatively, you could introduce the \"no saturation\" condition as a simplification that removes the $e^{-\\omega_c t}$ term.\n", + "\n", + "Example figures in Sigworth 1995a use $\\tau_a = 16 \\text{ns} = 0.016 \\mu\\text{s}$." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "e456380b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure()\n", + "ax = fig.add_subplot()\n", + "ax.set_xlabel('t')\n", + "ax.set_ylabel('$V_{out}$')\n", + "\n", + "a = 4\n", + "v_in = 3\n", + "w = 0.5\n", + "\n", + "t = np.linspace(0, 10, 101)\n", + "v = a * v_in * (1 - np.exp(-w*t))\n", + "d = a * w * v_in\n", + "\n", + "ax.plot(t, v)\n", + "ax.plot(t, t * d)\n", + "ax.axhline(12, color='#999', ls='--')\n", + "ax.set_xlim(0, 10)\n", + "ax.set_ylim(0, 14)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "f54509e9", + "metadata": {}, + "source": [ + "The above example, with some arbitrary values for the constants, shows that this is a reasonable approximation for maybe the first 5% of the response _in an open-loop configuration_.\n", + "Not sure how or if to extend this to a closed-loop sanity check." + ] + }, + { + "cell_type": "markdown", + "id": "7c9fca45", + "metadata": {}, + "source": [ + "### Analysis using Sigworth's equation\n", + "\n", + "Given the equation above, we now repeat the analysis of the patch clamp amplifier's \"bandwidth\" shown in [Sigworth 1995a](https://doi.org/10.1007/978-1-4419-1229-9_4), but using the symbols shown below:\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "id": "f5c4b00e", + "metadata": {}, + "source": [ + "First, let\n", + "\n", + "\\begin{align}\n", + "I &= I_{Cf} + I_{Rf} - I_{Cp} \\\\\n", + " &= C_f (\\dot{V}_o - \\dot{V}_p) + \\frac{V_o - V_p}{R_f} - C_p \\dot{V}_p \\\\\n", + "R_f I &= R_fC_f (\\dot{V}_o - \\dot{V}_p) + V_o - V_p - R_fC_p \\dot{V}_p\n", + "\\end{align}\n", + "\n", + "Next, by treating $V_c$ as a constant we get\n", + "\n", + "\\begin{align}\n", + "V_\\text{out} \\equiv V_o - V_c \\quad \\longrightarrow \\quad \\dot{V}_o = \\dot{V}_\\text{out}\n", + "\\end{align}\n", + "\n", + "and using the equation for op-amps introduced above\n", + "\n", + "\\begin{align}\n", + "\\tau_a \\dot{V}_\\text{out} = V_c - V_p \\quad \\longrightarrow \\quad \n", + " & V_p = -\\tau_a \\dot{V}_\\text{out} \\\\\n", + " & \\dot{V}_p = -\\tau_a \\ddot{V}_\\text{out}\n", + "\\end{align}\n", + "for\n", + "\n", + "\\begin{align}\n", + "R_f I &= R_fC_f (\\dot{V}_\\text{out} + \\tau_a \\ddot{V}_\\text{out}) + V_\\text{out} + \\tau_a \\dot{V}_\\text{out} + R_fC_p \\tau_a \\ddot{V}_\\text{out} \\\\\n", + "&= \\tau_a R_f(C_f + C_p) \\ddot{V}_\\text{out} + (R_fC_f+ \\tau_a) \\dot{V}_\\text{out} + V_\\text{out} \\\\\n", + "&= \\tau_a R_f C_t \\ddot{V}_\\text{out} + (\\tau_a + \\tau_f) \\dot{V}_\\text{out} + V_\\text{out}\n", + "\\end{align}\n", + "\n", + "where the last step defines $\\tau_f = R_fC_f$ and $C_t = C_f + C_p$.\n", + "\n", + "This leads to a transfer function\n", + "\n", + "\\begin{align}\n", + "H(s) = \\frac{V_\\text{out}}{I(s)} \n", + " &= \\frac{R_f}{\\tau_aR_fC_ts^2 + (\\tau_a + \\tau_f)s + 1} \\\\\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "32ce3172", + "metadata": {}, + "source": [ + "#### The patch-clamp amp as a damped harmonic oscillator\n", + "\n", + "We described $C_f$ as a \"stray capacitance\", but mentioned that [Weerakoon et al., 2009](https://doi.org/10.1109/TBCAS.2008.2005419) introduced an extra $C_f$ as a stability measure.\n", + "To see why, we can equate the transfer function above to the damped harmonic oscillator equation (see [Appendix A2](./appendix-A2-laplace-and-filters.ipynb)):\n", + "\n", + "$$ H(s) = R_f \\frac{1}{\\tau_0^2s^2 + 2\\zeta\\tau_0s + 1} $$\n", + "with\n", + "$$ \\tau_0 = \\sqrt{\\tau_aR_fC_t} $$\n", + "and\n", + "$$ \\zeta = \\frac{1}{2}\\frac{\\tau_a + \\tau_f}{\\tau_0} $$" + ] + }, + { + "cell_type": "markdown", + "id": "b395121f", + "metadata": {}, + "source": [ + "Now if we use $\\tau_a \\ll 1$ we get \n", + "$$\n", + "\\zeta \\approx \\frac{1}{2}\\frac{\\tau_f}{\\omega_0} = \\frac{1}{2}\\sqrt{\\frac{R_f}{\\tau_a}} \\frac{C_f}{\\sqrt{C_f + C_p}}\n", + "$$\n", + "\n", + "From this we can see that making $C_f$ smaller and smaller will eventually lead to $\\zeta < 1$, which creates overshoot and oscillations in the amplifier's step response.\n", + "An example, using the step response equations straight from [wikipedia](https://en.wikipedia.org/wiki/Harmonic_oscillator#Step_input):" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "cf1792b4", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "tau0_in_s = np.sqrt(1.6e-10) # Roughly based on Sigworth figure 2\n", + "tau0 = tau0_in_s * 1e3 # Convert to ms\n", + "w0 = 1 / (2 * np.pi * tau0) # Angular frequency\n", + "\n", + "def v(z):\n", + " phi = np.arccos(z)\n", + " return 1 - np.exp(-z * w0 * t) / np.sin(phi) * np.sin(np.sqrt(1 - z**2) * w0 * t + phi)\n", + "\n", + "t = np.linspace(0, 2, 1001)\n", + "v1 = v(0.99)\n", + "v2 = v(0.2)\n", + "\n", + "fig = plt.figure()\n", + "ax = fig.add_subplot()\n", + "ax.plot([0, 0, t[-1]], [0, 1, 1], 'k--', label='Command')\n", + "ax.plot(t, v1, label='$\\zeta = 0.99$')\n", + "ax.plot(t, v2, label='$\\zeta = 0.2$')\n", + "ax.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "95f86c3a", + "metadata": {}, + "source": [ + "This damped oscillating response to a step function is known as [ringing](https://en.wikipedia.org/wiki/Ringing_(signal))." + ] + }, + { + "cell_type": "markdown", + "id": "9801b9f1", + "metadata": {}, + "source": [ + "#### Now what?\n", + "\n", + "Since the patch-clamp amplifier is all about a good transient response, and since we can get ringing with a very low $C_f$, the solution to building good patch clamp amplifiers is not to make $C_f$ as low as possible.\n", + "In fact, in [Weerakoon et al., 2009](https://doi.org/10.1109/TBCAS.2008.2005419) a resistor $R_f$ is used with a very low stray capacitance, necessitating the introduction of an extra capacitator to achieve a large enough $C_f$.\n", + "\n", + "Instead, another \"dominant pole\" trick is used.\n", + "To see how, we rewrite the original transfer function in terms of two new poles $-1/\\tau_1$ and $-1/\\tau_2$:\n", + "\n", + "\\begin{align}\n", + "H(s) = \\frac{V_\\text{out}}{I(s)} \n", + " &= \\frac{R_f}{\\tau_aR_fC_ts^2 + (\\tau_a + \\tau_f)s + 1} \\\\\n", + " &= \\frac{R_f}{(\\tau_1s + 1)(\\tau_2s + 1)} \\\\\n", + "\\end{align}\n", + "\n", + "We can find $\\tau_1$ and $\\tau_2$ using the quadratic equation, but it's actually more informative to approximate them.\n", + "To do this, we equate the denominators\n", + "\n", + "$$ \\tau_1\\tau_2s^2 + (\\tau_1 + \\tau_2)s + 1 = \\tau_aR_fC_ts^2 + (\\tau_a + \\tau_f)s + 1 $$\n", + "\n", + "Now if $\\tau_a \\ll \\tau_f$ we have $\\tau_a + \\tau_f \\approx \\tau_f$.\n", + "The goal is to create a dominant pole with $\\tau_1 \\gg \\tau_2$, so we can also assume $\\tau_1 + \\tau_2 \\approx \\tau_1$ and so\n", + "\n", + "$$ \\tau_1 \\approx \\tau_f = R_f C_f$$\n", + "\n", + "Filling that in into $\\tau_1\\tau_2 = \\tau_aR_fC_t$ we get\n", + "\n", + "$$ \\tau_2 \\approx \\tau_a \\frac{C_t}{C_f}$$\n", + "\n", + "By making $C_f$ larger, we make $\\tau_1$ larger and $\\tau_2$ smaller.\n", + "The trick then, used by Sigworth in his design, is (1) to choose $C_f$ such that $\\tau_2$ is much shorter than the phenomena of interest so that we can usually ignore it, and (2) to accept the effects of $\\tau_1$ and deal with them in other ways (i.e. via $C_p$ compensation).\n", + "Note also that $\\tau_f$ depends only on the patch clamp design, and not on the experiment-specific $C_t$." + ] + }, + { + "cell_type": "markdown", + "id": "70ff71ca", + "metadata": {}, + "source": [ + "## Equations used in Weerakoon et al. paper\n", + "\n", + "The paper by [Weerakoon et al., 2009](https://doi.org/10.1109/TBCAS.2008.2005419) uses the equations\n", + "\n", + "$$ V_\\text{out} = \\frac{I_\\text{in} R_f}{1 + \\tau_f s} $$\n", + "\n", + "where $\\tau_f = R_fC_f = 7.5\\,\\mu{s}$, and\n", + "\n", + "$$ V_p = \\frac{V_c}{1 + \\tau_c s} $$\n", + "\n", + "where $\\tau_c = \\tau_a\\frac{C_t}{C_f} = 0.8\\,\\mu{s}$." + ] + }, + { + "cell_type": "markdown", + "id": "719ad0e6", + "metadata": {}, + "source": [ + "The first equation can be detransformed to\n", + "\n", + "\\begin{align}\n", + "R_fI_\\text{in} = V_\\text{out} + \\tau_f \\dot{V}_\\text{out}\n", + "\\end{align}\n", + "\n", + "we can rewrite and divide by $R_f$ to find\n", + "\n", + "\\begin{align}\n", + "\\dot{V}_\\text{out} = \\frac{R_fI_\\text{in} - V_\\text{out}}{\\tau_f}\n", + "&&\\longrightarrow&&\n", + "\\dot{I}_\\text{out} = \\frac{I_\\text{in} - I_\\text{out}}{\\tau_f}\n", + "\\end{align}\n", + "\n", + "which matches the statement that\n", + "\n", + "> the resulting output [...] is low-pass filtered by the transconductor time constant [$\\tau_f]$\n", + "\n", + "(where we write $\\tau_f$ instead of the paper's notation $\\tau_z$)." + ] + }, + { + "cell_type": "markdown", + "id": "72d100b0", + "metadata": {}, + "source": [ + "The second equation can be translated to\n", + "\n", + "\\begin{align}\n", + "V_p + \\tau_c \\dot{V}_p = V_c\n", + "&& \\longrightarrow &&\n", + "\\dot{V}_p = \\frac{V_c - V_p}{\\tau_c}\n", + "\\end{align}\n", + "\n", + "in other words, it assumes that the voltage $V_p$ follows the input voltage $V_c$ with a delay set by the time constant $\\tau_c$." + ] + }, + { + "cell_type": "markdown", + "id": "89cff5e9", + "metadata": {}, + "source": [ + "These equations appear to represent each pole of the original Sigworth equations, but now decoupled and no longer presented as an approximation." + ] + }, + { + "cell_type": "markdown", + "id": "a3ac8d0e", + "metadata": {}, + "source": [ + "## Equations used in Lei et al. papers\n", + "\n", + "In [Lei et al., 2020](https://doi.org/10.1098/rsta.2019.0348) and subsequent work, we used the same equations as in Weerakoon:\n", + "\n", + "\\begin{align}\n", + "\\dot{I}_\\text{out} = \\frac{I_\\text{in} - I_\\text{out}}{\\tau_f}\n", + "\\end{align}\n", + "\n", + "and\n", + "\n", + "\\begin{equation}\n", + "\\dot{V}_p = \\frac{V_c - V_p}{\\tau_c}\n", + "\\end{equation}\n", + "\n", + "Instead of an experiment-specific value which takes $C_p$ into account, we used a constant $\\tau_c =0.8\\,\\mu s$." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.6" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/artefacts/appendix-A4-bessel-filters.ipynb b/artefacts/appendix-A4-bessel-filters.ipynb new file mode 100644 index 0000000..fba4077 --- /dev/null +++ b/artefacts/appendix-A4-bessel-filters.ipynb @@ -0,0 +1,1460 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "044506d5-71e4-43da-8603-ce5103279e28", + "metadata": {}, + "source": [ + "# Appendix A4: Bessel low-pass filters\n", + "**Appendix A provides extra background for path clamp electronics.**" + ] + }, + { + "cell_type": "markdown", + "id": "8da3b3fe-426a-4710-a21a-d01126734998", + "metadata": {}, + "source": [ + "[Bessel filters](https://en.wikipedia.org/wiki/Bessel_filter) are popular for low-pass filtering in patch clamp hardware.\n", + "Compared to other filter types, they have very little _overshoot_: when you pass a voltage step through a Bessel filter it gets smoothed, but the filtered voltage _almost_ doesn't go beyond the intended step (graphs below!).\n", + "\n", + "In this notebook, we build on the concepts reviewed in [Appendix A2](./appendix-A2-laplace-and-filters.ipynb) to explore Bessel filters in detail." + ] + }, + { + "cell_type": "markdown", + "id": "7dc08042-9c0d-4720-84b5-50b9a641506b", + "metadata": {}, + "source": [ + "## Transfer function\n", + "\n", + "The transfer function for a Bessel low-pass filter has a [reverse Bessel polynomial](https://en.wikipedia.org/wiki/Bessel_polynomials) as its denominator, and a numerator which acts as a scaling term to achieve unity gain for $s = 0$.\n", + "\n", + "In mathematical notation, a Bessel low-pass filter of **order $n$** has transfer function:\n", + "\n", + "\\begin{align}\n", + "H(s) = \\frac{\\theta_n(0)}{\\theta_n(s)}\n", + "\\end{align}\n", + "where\n", + "\\begin{align}\n", + "\\theta_n(x) = \\sum_{k=0}^{n} \\frac{(2n - k)!}{2^{n-k}(n - k)!k!} x^k\n", + " = \\sum_{k=0}^{n} \\alpha_{n,k} x^{n-k}\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "a5462b51-2435-4546-b479-d08c1f420ec0", + "metadata": {}, + "source": [ + "For example, a third order Bessel filter has transfer function\n", + "\\begin{align}\n", + "H(s) = \\frac{\\alpha_{3, 0}}{\\alpha_{3, 3} s^3 + \\alpha_{3, 2} s^2 + \\alpha_{3, 1} s + \\alpha_{3, 0}}\n", + "\\end{align}\n", + "where $\\alpha_{3, 0}=15$, $\\alpha_{3, 1}=15$, $\\alpha_{3, 2}=6$, and $\\alpha_{3, 0}=1$ for\n", + "\\begin{align}\n", + "H(s) = \\frac{15}{s^3 + 6s^2 + 15s + 15}\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "44124d98-3824-483a-8bf6-25ebffb637b5", + "metadata": {}, + "source": [ + "### Example transfer functions\n", + "\n", + "Finding $\\alpha_{n,k}$ is easiest with a script:" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "7dab85ed-4d69-4449-9a7f-373d039d4759", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[15, 15, 6, 1]\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "\n", + "def revbes(n):\n", + " \"\"\" Returns the coefficients for a reverse Bessel polynomial. \"\"\"\n", + " f = np.math.factorial\n", + " return [int(f(2 * n - k) / (2**(n - k)*f(n - k) * f(k)))\n", + " for k in range(n + 1)]\n", + " \n", + "print(revbes(3))" + ] + }, + { + "cell_type": "markdown", + "id": "98824302-c10f-482f-8235-7de9c3f59f4f", + "metadata": {}, + "source": [ + "This lets us find the first six filters as:" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "d13540a2-8104-43b9-b343-94642879d99a", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1 [1, 1]\n", + "2 [3, 3, 1]\n", + "3 [15, 15, 6, 1]\n", + "4 [105, 105, 45, 10, 1]\n", + "5 [945, 945, 420, 105, 15, 1]\n", + "6 [10395, 10395, 4725, 1260, 210, 21, 1]\n" + ] + } + ], + "source": [ + "for i in range(1, 7):\n", + " print(i, revbes(i))" + ] + }, + { + "cell_type": "markdown", + "id": "c11e6622-ce8c-4df1-ab43-ef0ecc12b2fe", + "metadata": {}, + "source": [ + "\\begin{align}\n", + "H_1(s) &= \\frac{1}{s + 1} \\\\\n", + "H_2(s) &= \\frac{3}{s^2 + 3s + 3} \\\\\n", + "H_3(s) &= \\frac{15}{s^3 + 6s^2 + 15s + 15} \\\\\n", + "H_4(s) &= \\frac{105}{s^4 + 10s^3 + 45s^2 + 105s + 105} \\\\\n", + "H_5(s) &= \\frac{945}{s^5 + 15s^4 + 105s^3 + 420s^2 + 945s + 945} \\\\\n", + "H_6(s) &= \\frac{10395}{s^6 + 21s^5 + 210s^4 + 1260s^3 + 4725s^2 + 10395s + 10395}\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "0030ade1-f10f-476f-b600-14ade199f916", + "metadata": {}, + "source": [ + "## The cut-off frequency\n", + "\n", + "To design a Bessel filter with a particular cut-off frequency, we:\n", + "\n", + "1. Decide on an _attenuation level_, for example the famous \"3[dB](https://en.wikipedia.org/wiki/Decibel) point\": $^{10}\\log(1/2) \\approx -3.01$.\n", + "2. Using $|H(i\\omega)|$ to find a frequency $\\omega$ where the filter has the desired attenuation (typically numerically, e.g. with root-finding).\n", + "3. Scale $s$." + ] + }, + { + "cell_type": "markdown", + "id": "d8eeb98a-4a9d-4c0a-b2c1-f979433a57dd", + "metadata": {}, + "source": [ + "## Poles\n", + "**Note**: Some sources say the poles lie on the unit circle: they do not.\n", + "\n", + "To find the poles of a Bessel filter, we can use [partial fraction decomposition](https://en.wikipedia.org/wiki/Partial_fraction_decomposition) on the equations shown above.\n", + "We can also make life easier, and ask SciPy to approximate them numerically with the function [`scipy.signal.bessel`](https://docs.scipy.org/doc/scipy/reference/generated/scipy.signal.bessel.html).\n", + "\n", + "Unfortunately the function to do this has a lot of arguments. The main ones are:\n", + "- `N`: The order of the filter\n", + "- `Wn`: When `norm=phase` and `analog=True` this is the angular \"critical frequency\". To get solutions to the equations above, we use `Wn=1`\n", + "- `btype`: Filter type, we leave this at the default of `lowpass`.\n", + "- `analog`: In the above, we're assuming an analog filter, that is, a filter that operates on a continuous signal. Later we will set this to `digital` to create filters we can use on a sampled filter.\n", + "- `output`: Set this to `zpk` to obtain the zeroes (z), poles (p), and a gain factor (k).\n", + "- `delay`: Set this to `delay`, to get \"the natural type obtained by solving Bessel polynomials\".\n", + "\n", + "Let's try for a filter with n=1:" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "85441146-22fc-46fb-ad07-b3b8915a94a2", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[]\n", + "[-1.-0.j]\n", + "1.0\n" + ] + } + ], + "source": [ + "import scipy.signal\n", + "\n", + "z, p, k = scipy.signal.bessel(1, 1, output='zpk', analog=True, norm='delay')\n", + "print(z)\n", + "print(p)\n", + "print(k)" + ] + }, + { + "cell_type": "markdown", + "id": "89c5c51a-5caf-48a9-b8a6-e924aa9e5b56", + "metadata": {}, + "source": [ + "So no zeroes, a pole at $s = -1$ and a gain factor $1$\n", + "\n", + "For this filter we had\n", + "\\begin{align}\n", + "H(s) &= \\frac{1}{s + 1}\n", + "\\end{align}\n", + "so this checks out!\n", + "\n", + "Note that the lack of zeroes makes sense as well: we can see this directly from the original transfer function.\n", + "\n", + "Now we can try for $n=2$:" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "8c416b40-a547-4538-9622-c1bed96972a6", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[-1.5+0.8660254j -1.5-0.8660254j]\n", + "3.0\n" + ] + } + ], + "source": [ + "z, p, k = scipy.signal.bessel(2, 1, output='zpk', analog=True, norm='delay')\n", + "print(p)\n", + "print(k)" + ] + }, + { + "cell_type": "markdown", + "id": "e0b70a53-f740-46ad-8de4-7a21fea25c4c", + "metadata": {}, + "source": [ + "So no zeroes, a gain of 3, and poles at $-1.5 \\pm i\\sqrt{3}/2$ (where we did a bit of guesswork to equate 0.8660254 with $\\sqrt{3}/2$).\n", + "\n", + "Filling in, and using $(a - bi)(a + bi) = a^2 + b^2$, we find:\n", + "\\begin{align}\n", + "H(s) &= \\frac{3}{(s + 1.5 - i\\sqrt{3}/2)(s + 1.5 + i\\sqrt{3}/2)} \\\\\n", + " &= \\frac{3}{(s + 3/2)^2 + 3/4} \\\\\n", + " &= \\frac{3}{s^2 + 3s + 3} \\\\\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "b42eb170-bf86-4b9d-ba42-5ae814a687d7", + "metadata": {}, + "source": [ + "We can go crazy and do it for the next one up:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "f1e99df8-a848-4d33-abc2-0facf04ba449", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[-1.83890732+1.75438096j -2.32218535-0.j -1.83890732-1.75438096j]\n", + "15.0\n" + ] + } + ], + "source": [ + "z, p, k = scipy.signal.bessel(3, 1, output='zpk', analog=True, norm='delay')\n", + "print(p)\n", + "print(k)" + ] + }, + { + "cell_type": "markdown", + "id": "05de9ed1-3f6d-4c77-8ea4-4199fa1c6d32", + "metadata": {}, + "source": [ + "Comparing with \n", + "\\begin{align}\n", + "H(s) &= \\frac{15}{s^3 + 6s^2 + 15s + 15}\n", + "\\end{align}\n", + "we can immediately see that the \"gain\" of 15 is correct.\n", + "\n", + "Guessing what fractions 1.83890732, 1.75438096, and 2.32218535 approximate is harder, so instead we write out the equation for denominator $D$ symbolically, and then fill in $a\\approx1.83890732$, $b\\approx1.75438096$, and $c\\approx2.32218535$:\n", + "\n", + "\\begin{align}\n", + "D &= (s + a - bi)(s + a + bi)(s + c) \\\\\n", + " &= ((s + a)^2 + b^2))(s + c) \\\\\n", + " &= (s^2 + a^2 + 2as + b^2)(s + c) \\\\\n", + " &= s^3 + a^2s + 2as^2 + b^2s + cs^2 + a^2c + 2acs + b^2c \\\\\n", + " &= s^3 + (2a + c)s^2 + (a^2 + b^2 + 2ac)s + c(a^2 + b^2)\n", + "\\end{align}" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "3cb05f37-23c9-4980-9b3b-cae1b70f9360", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "6.0\n", + "14.999999999999996\n", + "14.999999999999995\n" + ] + } + ], + "source": [ + "a = -p[0].real\n", + "b = p[0].imag\n", + "c = -p[1].real\n", + "\n", + "print(2*a + c)\n", + "print(a**2 + b**2 + 2*a*c)\n", + "print(c*(a**2 + b**2))" + ] + }, + { + "cell_type": "markdown", + "id": "e9df9356-ca8e-456b-a9bd-d3399715ca31", + "metadata": {}, + "source": [ + "So these coefficients are within machine precision of 6, 15, 15 and this one again checks out!" + ] + }, + { + "cell_type": "markdown", + "id": "897fcbd3-fcbb-45d4-8c22-04d80f939366", + "metadata": {}, + "source": [ + "## Frequency response and Bode plots" + ] + }, + { + "cell_type": "markdown", + "id": "204a662d-d130-4dd9-a1a8-b11afcbe6419", + "metadata": {}, + "source": [ + "To work out a Bessel filter's frequency response we need to evaluate $|H(i\\omega)|$ and $\\angle H(i\\omega)$.\n", + "\n", + "Luckily, Python can do this for us." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "982b4f7c-0553-4589-b9f3-f878e8a76eca", + "metadata": {}, + "outputs": [], + "source": [ + "def mag(w):\n", + " x = 1j * w\n", + " return np.abs(15 / (x**3 + 6*x**2 + 15*x + 15))\n", + " \n", + "def arg(w):\n", + " x = 1j * w\n", + " return -np.angle(15 / (x**3 + 6*x**2 + 15*x + 15))" + ] + }, + { + "cell_type": "markdown", + "id": "b37ae7b1-a52a-4994-a1fc-27ce4472d556", + "metadata": {}, + "source": [ + "We can then use the method from [Appendix A2](./appendix-A2-laplace-and-filters) to create a Bode plot:" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "eb07de6e-b0e4-4498-89d7-9d6670174b75", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "from library import bode\n", + "axes = bode(mag, arg)\n", + "plt.show() " + ] + }, + { + "cell_type": "markdown", + "id": "bc392c63-7265-43ad-b61c-f5130af0363e", + "metadata": {}, + "source": [ + "Note that the vertical line at the center of the angular frequency plot shouldn't really be there: The phase shift just starts at 0 degrees and then increases, but by convention we call the shifts beyond 180 degrees negative shifts instead." + ] + }, + { + "cell_type": "markdown", + "id": "2729e681-e32b-4f86-a9f3-406a4703ee3f", + "metadata": {}, + "source": [ + "We can write the `mag` and `abs` methods to take an argument $n$ for order (or pole count).\n", + "(Although the example below is a very inefficient way to do this)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "c3feea59-fd15-48a3-a991-c5bd319961e4", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def bes(w, n):\n", + " x = 1j * w\n", + " a = revbes(n)\n", + " b = np.array([x**i for i in range(1 + n)])\n", + " return a[0] / np.sum(a * b.T, axis=1)\n", + "\n", + "def mag(w, n):\n", + " return np.abs(bes(w, n))\n", + " \n", + "def arg(w, n):\n", + " return -np.angle(bes(w, n))\n", + "\n", + "axes = bode(mag, arg, n=1)\n", + "axes = bode(mag, arg, n=2, axes=axes)\n", + "axes = bode(mag, arg, n=3, axes=axes)\n", + "axes = bode(mag, arg, n=4, axes=axes)\n", + "axes = bode(mag, arg, n=5, axes=axes)\n", + "axes = bode(mag, arg, n=6, axes=axes)\n", + "axes[1].legend(loc='lower left', ncols=2)\n", + "plt.show() " + ] + }, + { + "cell_type": "markdown", + "id": "cb1ca230-1103-4d85-858b-650f88a811a6", + "metadata": {}, + "source": [ + "We can compare the top plot with the scipy version:" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "103374b6-0219-48a9-a5d2-992c9fcf154b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "axes = bode(mag, arg, n=3)\n", + "axes = bode(mag, arg, n=6, axes=axes)\n", + "ax0, ax1 = axes\n", + "\n", + "b, a = scipy.signal.bessel(3, 1, analog=True, norm='delay')\n", + "w, h = scipy.signal.freqs(b, a)\n", + "ax0.plot(w, np.abs(h), 'k--')\n", + "ax1.plot(w, -np.angle(h) * 180 / np.pi, 'k--')\n", + "\n", + "b, a = scipy.signal.bessel(6, 1, analog=True, norm='delay')\n", + "w, h = scipy.signal.freqs(b, a)\n", + "ax0.plot(w, np.abs(h), 'k-.')\n", + "ax1.plot(w, -np.angle(h) * 180 / np.pi, 'k-.')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "84f64705-d646-475f-a7a1-5cfc9f8a9ce8", + "metadata": {}, + "source": [ + "This confirms that the SciPy `bessel` function with `Wn=1`, `analog=True`, and `norm='delay'` is the canonical \"Bessel filter\" described by the transfer functions above." + ] + }, + { + "cell_type": "markdown", + "id": "8c58a7e8-c2f2-4424-a7a2-6c9fa7be2815", + "metadata": {}, + "source": [ + "## Emulating an analog filter\n", + "\n", + "We can also use SciPy to simulate the effects of an analog filter (i.e. a fitler implemented in electronics) on an analog signal (some fluctuating voltage on a wire).\n", + "\n", + "For this, we use the method [lsim](https://docs.scipy.org/doc/scipy/reference/generated/scipy.signal.lsim.html)." + ] + }, + { + "cell_type": "markdown", + "id": "29eeb668-01f9-491a-97eb-d1ce15ab45bb", + "metadata": {}, + "source": [ + "#### The `norm` argument again\n", + "\n", + "Above, we used `Wn=1, norm='delay'` to obtain the poles of a filter without any scaling.\n", + "With these settings, `Wn` is interpreted as something related to \"group delay\", and using `Wn=1` just gives the normal scaling.\n", + "\n", + "When applying a filter, we'll use `Wn=w, norm='mag'`.\n", + "With this setting, the filter is _normalised_ (hence `norm`) so that `Wn` becomes the cutoff point, i.e. the point at which $|H(i\\phi)|=1/\\sqrt{2}$." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "2e70c20b-4388-48d7-ba48-931946997fb3", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "t = np.linspace(0, 1, 10001)\n", + "\n", + "def sin(x, w):\n", + " \"\"\" Return a sine wave with frequency w (in Hz). \"\"\"\n", + " return np.sin(2 * np.pi * w * x)\n", + "\n", + "def low_pass(time, data, f, n=3):\n", + " \"\"\"\n", + " Emulate an analog Bessel low-pass filter with cut-off f (in Hz).\n", + " \n", + " Returns a tuple ``(t, y)``.\n", + " \"\"\"\n", + " b, a = scipy.signal.bessel(n, 2 * np.pi * f, analog=True, norm='mag')\n", + " t, y, _ = scipy.signal.lsim((b, a), data, time)\n", + " return t, y\n", + "\n", + "x = sin(t, 2)\n", + "y = x + sin(t, 50)\n", + "\n", + "fig = plt.figure(figsize=(15, 4))\n", + "ax = fig.add_subplot()\n", + "ax.plot(t, x, label='Original (2 Hz)')\n", + "ax.plot(t, y, label='Noisy (+50Hz)')\n", + "ax.plot(*low_pass(t, y, f=5, n=3), label='Filtered 5Hz, n=3')\n", + "ax.plot(*low_pass(t, y, f=10, n=6), label='Filtered 10Hz, n=6')\n", + "ax.legend(ncol=4, framealpha=1)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "68f6dc22-219f-4fba-a7bc-ef6055de1201", + "metadata": {}, + "source": [ + "Both filters cause quite a phase shift, but otherwise do a great job of reducing the unwanted higher frequencies." + ] + }, + { + "cell_type": "markdown", + "id": "3a3c0e89-4181-47c0-9a4d-44e443600e36", + "metadata": {}, + "source": [ + "## Applying a digital filter\n", + "\n", + "We can also apply a digital filter.\n", + "\n", + "This time we use:\n", + "\n", + "- Order `n`\n", + "- A frequency, _expressed as a fraction of the Nyquist frequency_, which means it's a fraction of _half the sampling frequency_. Yup.\n", + "- Analog `False` (the default)\n", + "- Norm `mag`, to let Wn set the cut-off frequency\n", + "\n", + "And for the filtering we use [lfilter](https://docs.scipy.org/doc/scipy/reference/generated/scipy.signal.lfilter.html#scipy.signal.lfilter) instead of lsim (this _applies_ a digital filter to a digital signal, instead of _simulating_ the application of analog filter to an analog signal)." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "b6111cd7-539b-4041-8235-a566660ec5e7", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "t = np.linspace(0, 1, 10001)\n", + "f = 1 / t[1] # Sampling frequency, in Hz\n", + "w = 50 # Cut-off frequency, in Hz\n", + "\n", + "def sin(x, f):\n", + " \"\"\" Draw a sine wave with frequency f. \"\"\"\n", + " return np.sin(2 * np.pi * f * x)\n", + "\n", + "def low_pass(data, f, fs, n=3):\n", + " \"\"\" Apply a Bessel low-pass filter with cut-off f (in Hz). \"\"\"\n", + " # Convert the frequency to a fraction of the Nyquist frequency f/2\n", + " b, a = scipy.signal.bessel(n, f / (fs / 2), norm='mag')\n", + " return scipy.signal.lfilter(b, a, data)\n", + "\n", + "x = sin(t, 2)\n", + "y = x + sin(t, 50)\n", + "\n", + "fig = plt.figure(figsize=(15, 4))\n", + "ax = fig.add_subplot()\n", + "ax.plot(t, x, label='Original')\n", + "ax.plot(t, y, label='Noisy')\n", + "ax.plot(t, low_pass(x, 5, f, n=3), label='Filtered 5Hz, n=3')\n", + "ax.plot(t, low_pass(x, 10, f, n=6), label='Filtered 10Hz, n=6')\n", + "ax.legend(ncol=4, framealpha=1)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "4e2115e8-d481-4326-b9f2-2589ee6cf3c7", + "metadata": {}, + "source": [ + "If we're interested in getting the best result (instead of emulating real filters), we can use the method [filtfilt](https://docs.scipy.org/doc/scipy/reference/generated/scipy.signal.filtfilt.html) instead. This applies a digital filter \"forwards\" and then \"backwards\", meaning it is twice as slow but has (A) zero phase shift and (B) twice the order of the original." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "9ece8f08-5faf-4b1d-bd58-0f828845e416", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def low_pass(data, f, fs, n=3):\n", + " \"\"\" Apply a Bessel low-pass filter with cut-off w (in Hz) twice. \"\"\"\n", + " b, a = scipy.signal.bessel(n, f / (fs / 2), norm='mag')\n", + " return scipy.signal.filtfilt(b, a, data)\n", + "\n", + "fig = plt.figure(figsize=(15, 4))\n", + "ax = fig.add_subplot()\n", + "ax.plot(t, x, label='Original')\n", + "ax.plot(t, y, label='Noisy')\n", + "ax.plot(t, low_pass(x, 5, f, n=3), label='Filtered 5Hz, n=2*3')\n", + "ax.plot(t, low_pass(x, 10, f, n=6), label='Filtered 10Hz, n=2*6')\n", + "ax.legend(ncol=4, framealpha=1)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "b473031f-6a1b-4177-b1b8-18ff14f37ae2", + "metadata": {}, + "source": [ + "## Two-pole bessel: the stimulus filter\n", + "\n", + "The HEKA EPC-10 uses a second order Bessel filter in its \"stimulus filter\", which is applied to voltage steps to reduce capacitative transients.\n", + "So we'll have a look at this filter in detail.\n", + "\n", + "First, we'll look at it the conventional way: as a low-pass filter over a _periodic_ signal, analysed in terms of its _frequency response_." + ] + }, + { + "cell_type": "markdown", + "id": "025a8499-c97e-4296-ba5f-99f6210fabaf", + "metadata": {}, + "source": [ + "### Frequency response\n", + "\n", + "The standard equation for a 2-pole Bessel is\n", + "\\begin{align}\n", + "H(s) = \\frac{3}{s^2 + 3s + 3}\n", + "\\end{align}\n", + "\n", + "For the _magnitude_ of its frequency response, we find\n", + "\\begin{align}\n", + "|H(i\\phi)| = \\left| \\frac{3}{(i\\phi)^2 + 3i\\phi + 3} \\right| \n", + " = 3 \\left| \\frac{1}{3 - \\phi^2 + 3\\phi i} \\right|\n", + "\\end{align}\n", + "To calculate this, we use\n", + "\\begin{align}\n", + "\\left| \\frac{1}{a + bi} \\right|\n", + " = \\left| \\frac{a - bi}{a^2 + b^2} \\right|\n", + " = \\sqrt{\\frac{a^2 + b^2}{(a^2 + b^2)^2}}\n", + " = \\frac{1}{\\sqrt{a^2 + b^2}}\n", + "\\end{align}\n", + "for\n", + "\\begin{align}\n", + "|H(i\\phi)| = \\frac{3}{\\sqrt{(3 - \\phi^2)^2 + 9\\phi^2}}\n", + " = \\frac{3}{\\sqrt{\\phi^4 + 3\\phi^2 + 9}}\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "be6603e6-b235-4c0e-b07f-0cf8670dca35", + "metadata": {}, + "source": [ + "The frequency at which this filter's gain is $1/\\sqrt(2)$ (the 3dB point) is found from:\n", + "\\begin{align}\n", + "\\frac{3}{\\sqrt{\\phi^4 + 3\\phi^2 + 9}} &= \\frac{1}{\\sqrt{2}} \\\\\n", + "\\sqrt{\\phi^4 + 3\\phi^2 + 9} &= 3\\sqrt{2}\\\\\n", + "\\phi^4 + 3\\phi^2 - 9 &= 0 \\\\\n", + "\\phi^2 = \\frac{-3 \\pm \\sqrt{9 + 4\\cdot9}}{2} &= \\frac{3}{2}\\left(-1 \\pm \\sqrt{5} \\right) \\\\\n", + "\\phi = \\pm \\sqrt{\\frac{3}{2}\\left(-1 \\pm \\sqrt{5} \\right)}\n", + "\\end{align}\n", + "By only allowing real and positive numbers, this becomes a single solution, which we'll call $\\omega_0$:\n", + "\\begin{align}\n", + "\\omega_0 = \\sqrt{\\frac{3}{2}\\left(-1 + \\sqrt{5} \\right)} \\approx 1.36\n", + "\\end{align}\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "7a77efcb-d58d-4ce0-b55a-8f04aebaab4d", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "w = np.linspace(0, 10, 100)\n", + "\n", + "fig = plt.figure(figsize=(12, 3))\n", + "fig.subplots_adjust(hspace=0.2)\n", + "\n", + "# Make a log-log plot, as used in a Bode diagram\n", + "ax = fig.add_subplot(1, 2, 1)\n", + "ax.set_xscale('log')\n", + "ax.set_yscale('log')\n", + "ax.set_ylabel('Gain')\n", + "ax.set_xlabel('Angular frequency (rad/s)')\n", + "ax.grid()\n", + " \n", + "# Plot, letting Numpy work out the absolute value\n", + "ax.plot(w, np.abs(3 / ((w*1j)**2 + 3*(w*1j) + 3)))\n", + " \n", + "# Plot, using the equation we derived\n", + "ax.plot(w, 3 / np.sqrt(w**4 + 3*w**2 + 9), '--')\n", + "\n", + "# Draw lines for w=w0 and gain=1/sqrt(2)\n", + "kw = dict(color='k', lw=1, ls='--')\n", + "ax.axhline(1 / np.sqrt(2), **kw)\n", + "ax.axvline(np.sqrt(3/2 * (np.sqrt(5) - 1)), **kw)\n", + "\n", + "# Show \"negative frequencies\", in an unscaled plot\n", + "w = np.linspace(-10, 10, 100)\n", + "ax = fig.add_subplot(1, 2, 2)\n", + "ax.set_xlabel('Positive and negative frequencies')\n", + "ax.grid()\n", + "ax.plot(w, 3 / np.sqrt(w**4 + 3*w**2 + 9))\n", + "ax.axhline(1 / np.sqrt(2), **kw)\n", + "ax.axvline(np.sqrt(3/2 * (np.sqrt(5) - 1)), **kw)\n", + "ax.axvline(-np.sqrt(3/2 * (np.sqrt(5) - 1)), **kw)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "2bbd7916-2d02-4982-aa38-6cd7d7869e15", + "metadata": {}, + "source": [ + "Now, we scale the filter to place this point at a user-defined cut-off frequency $\\omega_c=10\\,\\text{kHz}=2\\cdot10^4/\\pi\\,\\text{rad}/\\text{s}$:" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "5bf77ab3-a043-4225-adf5-8e6efdf74877", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "w = np.logspace(3, 5.2, 1000)\n", + "w0 = np.sqrt(3 / 2 * (np.sqrt(5) - 1))\n", + "z = w * w0 / (2e4 * np.pi)\n", + "\n", + "fig = plt.figure(figsize=(9, 3))\n", + "ax = fig.add_subplot()\n", + "ax.set_xscale('log')\n", + "ax.set_yscale('log')\n", + "ax.set_ylabel('Gain')\n", + "ax.set_xlabel('Angular frequency (rad/s)')\n", + "ax.grid()\n", + "ax.plot(w, 3 / np.sqrt(z**4 + 3*z**2 + 9))\n", + "kw = dict(color='k', lw=1, ls='--')\n", + "ax.axhline(1 / np.sqrt(2), **kw)\n", + "ax.axvline(2e4 * np.pi, color='r', label='10 kHz')\n", + "ax.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "282f4725-b77b-4d25-87a4-a10d6d442716", + "metadata": {}, + "source": [ + "### Step response and rise time" + ] + }, + { + "cell_type": "markdown", + "id": "58b0cc02-af3d-4433-a6f8-bf21812bfa51", + "metadata": {}, + "source": [ + "The HEKA stimulus filter is described as having a [rise time](https://en.wikipedia.org/wiki/Rise_time) of either 20$\\mu$s or 2$\\mu$s.\n", + "See e.g. the EPC-10 hardware manual:\n", + "\n", + "> Two degrees of filtering, specified as the rise times (time from 10% to 90% of the amplitude of a step change) are available in the\n", + "software: 2 Āµs, which is the minimum required to avoid non-linearity in the internal circuitry, and 20 Āµs, which is preferable for all but the fastest measurements, to reduce the capacitive transients\n", + "\n", + "To find the transfer function scalings for these settings, we start by working out the _step response_:\n" + ] + }, + { + "cell_type": "markdown", + "id": "1250c164-88d3-4c0b-8204-db88b9d38816", + "metadata": {}, + "source": [ + "From [Appendix A2](./appendix-A2-laplace-and-filters) we get the step function and its Laplace transform\n", + "\\begin{align}\n", + "u(t) = \\delta(t) && U(s) = \\frac{1}{s}\n", + "\\end{align}\n", + "for output\n", + "\\begin{align}\n", + "Y(s) = H(s)U(s) = \\frac{3}{s(s^2 + 3s + 3)}\n", + "\\end{align}\n", + "\n", + "To solve this, we split into partial coefficients while keeping the second-order term together:\n", + "\n", + "\\begin{align}\n", + "Y(s) = \\frac{3}{s(s^2 + 3s + 3)} \n", + " = \\frac{A}{s} + \\frac{B + Cs}{s^2 + 3s + 3}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "3 &= A(s^2 + 3s + 3) + Bs + Cs^2 \\\\\n", + " &= (A + C)s^2 + (3A + B)s + 3A\n", + "\\end{align}\n", + "\\begin{align}\n", + "A = 1 && B = -3 && C = -1\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "Y(s) = \\frac{1}{s} + \\frac{-3 - s}{s^2 + 3s + 3}\n", + " = \\frac{1}{s} - \\frac{3 + s}{s^2 + 3s + 3}\n", + "\\end{align}\n", + "\n", + "To save time, we could also have [asked a website](https://www.wolframalpha.com/input?i=partial+fractions+3%2F%28s%28s%5E2+%2B+3s+%2B+3%29%29) or used [SymPy](https://docs.sympy.org/latest/modules/polys/reference.html#sympy.polys.partfrac.apart):" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "f2272c3f-1f19-4018-bf08-e27819d5eb2f", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$\\displaystyle - \\frac{s + 3}{s^{2} + 3 s + 3} + \\frac{1}{s}$" + ], + "text/plain": [ + "-(s + 3)/(s**2 + 3*s + 3) + 1/s" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sympy.polys.partfrac import apart\n", + "from sympy.abc import s\n", + "\n", + "apart(3 / (s * (s**2 + 3 * s + 3)))" + ] + }, + { + "cell_type": "markdown", + "id": "cf198535-bb93-4ef0-8a0a-5ff3b2a4fc6e", + "metadata": {}, + "source": [ + "To get the inverse transform, we can write this in pole-zero form:\n", + "\\begin{align}\n", + "Y(s) = \\frac{1}{s} - \\frac{3 + s}{(s + \\sigma - i\\omega)(s + \\sigma + i\\omega)},\n", + "&& \\sigma = 3/2,\n", + "&& \\omega = \\sqrt{3}/2\n", + "\\end{align}\n", + "\n", + "This has the advantage that we can look up the standard solution, e.g. in [Appendix A2](./appendix-A2-laplace-and-filters)\n", + "\\begin{align}\n", + "F(s) &= \\frac{C_1 + C_2 s}{(s + \\sigma - i\\omega)(s + \\sigma + i\\omega)} \\\\\n", + "f(t) &= \\left( \\frac{C_1 - C_2\\sigma}{\\omega}e^{-\\sigma t} \\sin(\\omega t) + C_2 e^{-\\sigma t} \\cos(\\omega t) \\right) \\theta(t)\n", + "\\end{align}\n", + "\n", + "to find\n", + "\\begin{align}\n", + "y(t) &= \\theta(t) - \\left( \\frac{C_1 - C_2\\sigma}{\\omega}e^{-\\sigma t} \\sin(\\omega t) + C_2 e^{-\\sigma t} \\cos(\\omega t) \\right) \\theta(t) \\\\\n", + "&= \\theta(t) \\left[1 - \\frac{3 - 3/2}{\\sqrt{3}/2}e^{-3/2t} \\sin(\\sqrt{3}/2 t) + e^{-3/2 t} \\cos(\\sqrt{3}/2 t) \\right] \\\\\n", + "&= \\theta(t) \\left[1 - (\\sqrt{3} \\sin(\\sqrt{3}/2 t) + \\cos(\\sqrt{3}/2 t))e^{-3/2t} \\right]\n", + "\\end{align}\n", + "\n", + "Let's plot it:" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "5cf0d88e-a6cf-4abb-b24c-2092a60bd581", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "t = np.linspace(-5, 10, 1000)\n", + "\n", + "def bessel2_step(t):\n", + " theta = 1 * (t >= 0)\n", + " s = np.sqrt(3)\n", + " return theta * (1 - (s * np.sin(s/2*t) + np.cos(s/2*t)) * np.exp(-3/2*t))\n", + "\n", + "y = bessel2_step(t)\n", + "\n", + "fig = plt.figure(figsize=(9, 3))\n", + "fig.subplots_adjust(hspace=0.2)\n", + "ax = fig.add_subplot(1, 2, 1)\n", + "ax.update(dict(xlabel='Time', ylabel='Stimulus'))\n", + "ax.plot(t, y)\n", + "ax = fig.add_subplot(1, 2, 2)\n", + "ax.set_xlabel('Time')\n", + "ax.axhline(1, color='grey', ls='--', lw=1)\n", + "ax.plot(t, y)\n", + "ax.set_xlim(0, 8)\n", + "ax.set_ylim(0.98, 1.02)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "41011a4c-fe8f-41a9-8654-876546e323f6", + "metadata": {}, + "source": [ + "This looks good! And we can see the near lack of overshoot that makes Bessel filters popular.\n", + "\n", + "We can use the equations above to work out the rise time, but it's probably not a lovely expression so we'll just do it numerically:" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "cb51e2bd-e386-4f81-8c78-c6560157c24d", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.2999218750000007 0.10001114060500294\n", + "1.8783203124999999 0.8999978202201413\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from scipy.optimize import fmin\n", + "t10 = fmin(lambda x: (bessel2_step(x) - 0.1)**2, 0.1, disp=False)[0]\n", + "t90 = fmin(lambda x: (bessel2_step(x) - 0.9)**2, 2, disp=False)[0]\n", + "print(t10, bessel2_step(t10))\n", + "print(t90, bessel2_step(t90))\n", + "fig = plt.figure(figsize=(5, 3))\n", + "ax = fig.add_subplot()\n", + "ax.update(dict(xlabel='Time', ylabel='Stimulus'))\n", + "ax.axvline(t10, color='grey', ls='--', lw=1)\n", + "ax.axvline(t90, color='grey', ls='--', lw=1)\n", + "ax.plot(t, y)\n", + "ax.text(4, 0.4, f'Rise time: {t90 - t10:.4}s')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "3f4b2b36-dfb5-4147-b978-b8f3a0f2d251", + "metadata": {}, + "source": [ + "To emulate a rise time of 20$\\mu$s, we scale $t$:" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "27ab72c2-4304-4024-9dc1-6434d26ce6b3", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.0038124999999999843 0.10029671636557969\n", + "0.0238125 0.8996055239892486\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "t = np.linspace(-0.05, 0.1, 1000)\n", + "\n", + "def bessel2_step(t, x):\n", + " theta = 1 * (t >= 0)\n", + " s = np.sqrt(3)\n", + " t = t / 2 * x\n", + " return theta * (1 - (s * np.sin(s*t) + np.cos(s*t)) * np.exp(-3*t))\n", + "\n", + "f = 78.8\n", + "y = bessel2_step(t, f)\n", + "\n", + "t10 = fmin(lambda x: (bessel2_step(x, f) - 0.1)**2, 0.01, disp=False)[0]\n", + "t90 = fmin(lambda x: (bessel2_step(x, f) - 0.9)**2, 0.02, disp=False)[0]\n", + "print(t10, bessel2_step(t10, f))\n", + "print(t90, bessel2_step(t90, f))\n", + "\n", + "fig = plt.figure(figsize=(5, 3))\n", + "ax = fig.add_subplot()\n", + "ax.update(dict(xlabel='Time (ms)', ylabel='Stimulus'))\n", + "ax.axvline(t10, color='grey', ls='--', lw=1)\n", + "ax.axvline(t90, color='grey', ls='--', lw=1)\n", + "ax.plot(t, y)\n", + "ax.text(0.04, 0.4, f'Rise time: {t90 - t10:.4}ms')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "ec352afe-15bf-47c6-b807-08dda17e8432", + "metadata": {}, + "source": [ + "### Does this match what we measure?\n", + "\n", + "The HEKA EPC-9 has a [paper describing its hardware](), which contains a nice block diagram (Fig 1).\n", + "This shows us that\n", + "\n", + "1. The stimulus filter is applied to the command potential before any other additions (e.g. Cm and Rs compensation)\n", + "2. The \"V monitor\" is read directly from the stimulus filter output, again without any interference from other components.\n", + "\n", + "As a result, we should be able to see the effects of the stimulus filter on a recorded \"V monitor\" signal.\n", + "Here's a recording made using an EPC-10:" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "28bc68e8-3152-428e-b7ae-56f030c1a6bb", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import myokit\n", + "d = myokit.DataLog.load('resources/rise_time_20us.zip')\n", + "d = d.npview()\n", + "\n", + "fig = plt.figure(figsize=(5, 3))\n", + "fig.subplots_adjust(0.14, 0.15, 0.96, 0.98)\n", + "ax = fig.add_subplot()\n", + "ax.set_xlabel('Time (ms)')\n", + "ax.set_ylabel('Command voltage (mV)')\n", + "\n", + "ax.plot(d.time(), d['vfiltered'], 's-', label='Recording')\n", + "\n", + "t = np.linspace(0, 2, 2000)\n", + "y = -100 + 135 * bessel2_step(t - 1, 78.8)\n", + "ax.plot(t, y, label='Rise time 20us')\n", + "y = -100 + 135 * bessel2_step(t - 1, 78.8 / 2)\n", + "ax.plot(t, y, label='Tweaked 40us')\n", + "\n", + "ax.legend()\n", + "ax.set_xlim(0.9, 1.15)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "bf5acb58-1e78-45f5-87f3-ec480feb2cd1", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.03943750000000005\n" + ] + } + ], + "source": [ + "f = 40\n", + "t10 = fmin(lambda x: (bessel2_step(x, f) - 0.1)**2, 0.01, disp=False)[0]\n", + "t90 = fmin(lambda x: (bessel2_step(x, f) - 0.9)**2, 0.02, disp=False)[0]\n", + "assert abs(bessel2_step(t10, f) - 0.1) < 1e-2\n", + "assert abs(bessel2_step(t90, f) - 0.9) < 1e-2\n", + "print(t90 - t10)" + ] + }, + { + "cell_type": "markdown", + "id": "ca357231-a3f2-45e0-9b7e-75f55db23f4e", + "metadata": {}, + "source": [ + "It seems the rise time is roughly twice what is advertised." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "26159d13-7a92-44d0-8a59-35556e2042af", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(5, 3))\n", + "fig.subplots_adjust(0.14, 0.15, 0.96, 0.98)\n", + "ax = fig.add_subplot()\n", + "ax.set_xlabel('Time (ms)')\n", + "ax.set_ylabel('Command voltage (mV)')\n", + "\n", + "ax.axvline(1 + t10, color='grey', lw=1, ls='--')\n", + "ax.axvline(1 + t90, color='grey', lw=1, ls='--')\n", + "ax.plot(d.time(), d['vfiltered'], 's-', label='Recording')\n", + "\n", + "t = np.linspace(0, 2, 2000)\n", + "y = -100 + 135 * bessel2_step(t - 1, 78.8)\n", + "ax.plot(t, y, label='Rise time 20ms')\n", + "\n", + "f = fmin(lambda f: np.sum((bessel2_step(d.time() - 1, f) - d['vfiltered'])**2), 40, disp=False)[0]\n", + "y = -100 + 135 * bessel2_step(t - 1, f)\n", + "ax.plot(t, y, label=f'Tweaked f={f:.4}')\n", + "\n", + "ax.legend(loc=(1.1, 0.5))\n", + "ax.set_xlim(0.99, 1.1)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "45802f78-7844-4c8c-a910-d3387ef0398d", + "metadata": {}, + "source": [ + "There is no \"official\" definition of \"rise time\", so we can try with other numbers:" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "80bb6e6f-444f-40bd-9fda-c8a90dbe0ead", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.02631250000000002\n", + "0.021187500000000015\n", + "0.01656250000000001\n" + ] + } + ], + "source": [ + "f = 40\n", + "def rise(p1, p2):\n", + " t1 = fmin(lambda x: (bessel2_step(x, f) - p1)**2, 0.01, disp=False)[0]\n", + " t2 = fmin(lambda x: (bessel2_step(x, f) - p2)**2, 0.02, disp=False)[0]\n", + " assert abs(bessel2_step(t1, f) - p1) < 1e-2\n", + " assert abs(bessel2_step(t2, f) - p2) < 1e-2\n", + " return t2 - t1\n", + "\n", + "print(rise(0.2, 0.8))\n", + "print(rise(0.25, 0.75))\n", + "print(rise(0.30, 0.7))" + ] + }, + { + "cell_type": "markdown", + "id": "e7563f9c-dd99-43ca-9a98-d8b9c93c723e", + "metadata": {}, + "source": [ + "So none of the obvious choices match, and it looks more like the rise time is just twice what it's said to be." + ] + }, + { + "cell_type": "markdown", + "id": "04e40e45-9ef2-4938-9fe8-82443e65690d", + "metadata": {}, + "source": [ + "#### Is Filter2 involved in this recording?\n", + "\n", + "Although the EPC-9 diagram shows Filter2 is only applied to the _current_ monitor, the manual for the EPC-10 (and for recent versions of Patchmaster) describe it as applying to the voltage monitor as well.\n", + "This _might_ explain the discrepancy above.\n", + "We can test by emulating filter 2's effect on a stimulus filter with rise-time 20$\\mu$s.\n", + "\n", + "Based on the meta-data in the recording, and the EPC-10 manual, we'll use a 4-pole Filter2 with an 18.22kHz cut-off." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "433620bc-d869-45c8-97f8-11aa5bd3f8f9", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "t = np.linspace(0, 1, 10001)\n", + "\n", + "def low_pass(time, data, f, n=3):\n", + " \"\"\" Emulate an analog Bessel low-pass filter with cut-off f (in Hz). \"\"\"\n", + " b, a = scipy.signal.bessel(n, 2 * np.pi * f, analog=True, norm='mag')\n", + " t, y, _ = scipy.signal.lsim((b, a), data, time)\n", + " return t, y\n", + "\n", + "fig = plt.figure(figsize=(5, 3))\n", + "fig.subplots_adjust(0.14, 0.15, 0.96, 0.98)\n", + "ax = fig.add_subplot()\n", + "ax.set_xlabel('Time (ms)')\n", + "ax.set_ylabel('Command voltage (mV)')\n", + "\n", + "ax.axvline(1 + t10, color='grey', lw=1, ls='--')\n", + "ax.axvline(1 + t90, color='grey', lw=1, ls='--')\n", + "ax.plot(d.time(), d['vfiltered'], 's-', label='Recording')\n", + "\n", + "t = np.linspace(0, 2, 2000)\n", + "y = -100 + 135 * bessel2_step(t - 1, 78.8)\n", + "ax.plot(t, y, label='Rise time 20ms')\n", + "\n", + "tt, vv = low_pass(t, y, f=18.22, n=4)\n", + "ax.plot(tt, vv, label='Low-pass filtered 18.22kHz, n=4')\n", + "ax.plot(tt - 0.005, vv, label='Low-pass filtered and left-shifted')\n", + "\n", + "ax.legend(loc=(1.1, 0.5))\n", + "ax.set_xlim(0.99, 1.1)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "01f526dc-11f9-4638-92b1-ecbd05c48be5", + "metadata": {}, + "source": [ + "So it seems Filter2 is not to blame." + ] + }, + { + "cell_type": "markdown", + "id": "e3a94057-262f-4645-a459-dd9d21ef64a9", + "metadata": {}, + "source": [ + "### Can we use a first order approximation for the stimulus filter?\n", + "\n", + "The 2-pole Bessel was easy enough to implement, but having 2 state variables is maybe a bit over the top.\n", + "What does it look like if we approximate with a single-order filter?" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "b20cbe38-3107-4f0a-86a2-c0cb4a15588c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def y(t, tau):\n", + " t[t < 0] = 0\n", + " return 35 + (-100 - 35) * np.exp(-t / tau)\n", + "\n", + "tau = fmin(lambda tau: np.sum((y(d.time() - 1, tau) - d['vfiltered'])**2), 0.02, disp=False)[0]\n", + "\n", + "fig = plt.figure(figsize=(5, 3))\n", + "fig.subplots_adjust(0.14, 0.15, 0.96, 0.98)\n", + "ax = fig.add_subplot()\n", + "ax.set_xlabel('Time (ms)')\n", + "ax.set_ylabel('Command voltage (mV)')\n", + "\n", + "ax.axvline(1 + t10, color='grey', lw=1, ls='--')\n", + "ax.axvline(1 + t90, color='grey', lw=1, ls='--')\n", + "ax.plot(d.time(), d['vfiltered'], 's-', label='Recording')\n", + "\n", + "t = np.linspace(0, 2, 2000)\n", + "ax.plot(t, y(t - 1, tau), label=f'tau={tau:.4}')\n", + "ax.legend(loc=(1.1, 0.5))\n", + "ax.set_xlim(0.99, 1.15)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "8f698264-d3a8-4e93-b5cb-798f51e241c7", + "metadata": {}, + "source": [ + "This is not far off at all, and any discrepancies only last for 0.1ms. Compared to e.g. fast-capacitance compensation, it is unlikely that approximating as first order will cause any problems." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.2" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/artefacts/appendix-A5-bessel-filter-odes.ipynb b/artefacts/appendix-A5-bessel-filter-odes.ipynb new file mode 100644 index 0000000..9e73b45 --- /dev/null +++ b/artefacts/appendix-A5-bessel-filter-odes.ipynb @@ -0,0 +1,1417 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "044506d5-71e4-43da-8603-ce5103279e28", + "metadata": {}, + "source": [ + "# Appendix A5: Bessel low-pass filter ODEs\n", + "**Appendix A provides extra background for path clamp electronics.**" + ] + }, + { + "cell_type": "markdown", + "id": "8da3b3fe-426a-4710-a21a-d01126734998", + "metadata": {}, + "source": [ + "In [appendix A4](./appendix-A4-bessel-filters) we explored Bessel filters analytically and filtered signals using SciPy.\n", + "In this notebook, we will rewrite some common Bessel filters as ODEs, allowing us to embed them in ODE models.\n", + "\n", + "In particular, we will focus on 2, 4, and 6-pole filters.\n", + "\n", + "- The HEKA EPC-10 uses a 6-pole Bessel filter as part of the voltage-clamp circuitry (filter1), an additional 4-pole Bessel as optional output filtering (filter2, run in series with filter1 for a 10-pole combined filter), and a 2-pole Bessel filter over the command voltage to reduce capacitative transients.\n", + "- The HEKA EPC-9 uses a 3-pole Bessel filter (filter1), a 4-pole Bessel filter (filter2), and a 2-pole stimulus filter.\n", + "- The Axon Axopatch 200B uses a 4-pole Bessel filter over voltage and a 3-pole Bessel filter over current output.\n", + "\n", + "We'll start simple, with the 1-pole filter.\n", + "These results will mainly be useful when we want to approximate a higher-order filter with a first-order one." + ] + }, + { + "cell_type": "markdown", + "id": "ae2ea939-93d0-4548-a07c-85dc4910ece8", + "metadata": {}, + "source": [ + "## The 1-pole filter\n", + "\n", + "A 1-pole Bessel filter reduces to a basic low-pass filter:\n", + "\\begin{align}\n", + "H_1(s) = \\frac{1}{s + 1}\n", + "\\end{align}\n", + "\n", + "This is easily translated back to an ODE:\n", + "\\begin{align}\n", + "H_1(s) = \\frac{Y(s)}{U(s)} = \\frac{1}{s + 1} \\rightarrow Y(s)(s + 1) = U(s)\n", + "\\end{align}\n", + "for\n", + "\\begin{align}\n", + "\\dot{y}(t) + y(t) = u(t), \\quad y(0) = 0 \\\\\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "2bd7b385-6681-4a14-94d9-ad5b5c8dfc13", + "metadata": {}, + "source": [ + "To give this filter and adjustable cut-off frequency, we add in a scaling factor $\\alpha$:\n", + "\\begin{align}\n", + "H_1(s) = \\frac{1}{\\alpha s + 1}\n", + "\\end{align}\n", + "for\n", + "\\begin{align}\n", + "\\dot{y}(t) = \\frac{u(t) - y(t)}{\\alpha}\n", + "\\end{align}\n", + "So in this case $\\alpha$ is a time constant (we'll see below that it gets slightly more complex for higher order filters)." + ] + }, + { + "cell_type": "markdown", + "id": "9c63d124-7019-4175-b6ef-74c5cc0c9def", + "metadata": {}, + "source": [ + "The cut-off frequency of a filter is usually defined as the point where _the magnitude of its frequency response_, given by $|H(i\\phi)|$, equals $1/\\sqrt{2}$ (approximately -3dB).\n", + "So we write out the magnitude to find\n", + "\\begin{align}\n", + "|H_1(i\\phi)| = \\left| \\frac{1}{1 + \\alpha\\phi i} \\right| = \\frac{1}{\\sqrt{1 + \\alpha^2\\phi^2}}\n", + "\\end{align}\n", + "which equals $1/\\sqrt{2}$ when\n", + "\\begin{align}\n", + "\\alpha^2\\phi_c^2 = 1 \\quad \\rightarrow \\quad \\alpha = 1 / \\phi_c\n", + "\\end{align}\n", + "where the last step is okay because $\\alpha$ and $\\phi_c$ are both real, positive numbers.\n", + "\n", + "This means that, for $\\alpha = 1$ the cut-off frequency is 1 rad/sec, and for any other $\\alpha$ the cut-off is $1/\\alpha$ rad/sec.\n", + "For a cut-off in Hz, we get:\n", + "\\begin{align}\n", + "\\alpha = \\frac{1}{2 \\pi f_c}\n", + "\\end{align}\n" + ] + }, + { + "cell_type": "markdown", + "id": "37285b2f-39be-4fb4-8dc7-1c81524392f8", + "metadata": {}, + "source": [ + "We can now write a 1-pole Bessel filter with cut-off $f_c$ as:" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "26fdad96-d9a2-4396-a445-342f4f1cf020", + "metadata": {}, + "outputs": [], + "source": [ + "import myokit\n", + "import scipy.signal\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "b2c2855b-dfb5-421c-b4fa-8f74cf159f3f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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90bJly3TppZfq3nvvlSQNHz5cYWFhGj9+vB5++GElJyc3W8dut8tut3v3SQAAHVZQWqVvC8oVHRqkjOTI5gEk7QDgE15V2m02mzIzM5Wdne3Snp2drXHjxrldp6KiQlar624CAgIkZ4UeAOA/3vu6UDf+74da9o8v3AcUH3a8chEqAHQrr4fHLFy4UE8//bTWrVunffv26Z577lFubq453GXx4sWaNWuWGT916lS9/PLLWr16tfbv36/3339fd999t0aPHq2UlJTO/TQAgK5Vmud4jeD8DQDdyavhMZI0ffp0FRUV6aGHHlJeXp6GDRumLVu2aMAAx/168/LyXO7ZPmfOHJWWlmrlypX6n//5H0VHR+uKK67QI4880rmfBADQ9UqdwyMjPFyoCgDoEhajB4xRKSkpUVRUlIqLixUZ6WaMJQCgU7z88WEt/Nt/9P1z4/XMLaNdFzY0SL+Jk4x6aeE+KZJqOwB0hDc5brvuHgMA6IUqCh0JuyxSWIKvewMAvQpJOwCgbRrHs4fFSwFej64EAHQASTsAoG1KjzleI5J83RMA6HUolQAATMP6RmnRlKFK7RPafKF555jmz9cAAHQtknYAgOncxAidmxjhfiF3jgEAn2F4DACgbcoak3Yq7QDQ3ai0AwBMJ8prdOhEhSKCAzUwPtx1oVlpZ0w7AHQ3Ku0AANPWLwp07RPv66HX9zZf2Ji0hzM8BgC6G0k7AKBtKoocr2Hxvu4JAPQ6JO0AgLZpTNpDY33dEwDodUjaAQCtq62Sasoc70naAaDbkbQDAFrXWGW3BkrBUb7uDQD0OiTtAIDWVRQ6XkNjJYvF170BgF6HpB0A0DpzPHucr3sCAL0S92kHAJgykiP031cOVlpcqOuC8sakPcYn/QKA3o6kHQBgOj8lSuenuBmzbt7ukUo7APgCw2MAAK07fUw7AKDbUWkHAJiKK2tVUFKlUHug+kaHNC0ob0zaqbQDgC9QaQcAmN76PF+T/rRdv9r8mesChscAgE+RtAMAWlfBhagA4Esk7QCA1jE8BgB8iqQdANC6ypOOVyrtAOATJO0AgGYspz/11DCkqlOO98HRPusTAPRmJO0AgJbVVUn1NY73wW7u4Q4A6HIk7QCAllU6q+wWq2SP8HVvAKBX4j7tAADTkMQI3fr9gTonPrypsarY8RocJZ0+bAYA0G1I2gEAphGp0RqResa4dcazA4DPMTwGANCy0yvtAACfoNIOADCVVdfpZHmNgoMCFB9hdzQ2jmkPodIOAL5CpR0AYNryaZ7G/+EdLXrp06ZGKu0A4HMk7QCAljGmHQB8rl1J+6pVq5Senq7g4GBlZmZqx44dLcZXV1dryZIlGjBggOx2uwYNGqR169a1t88AgO5EpR0AfM7rMe2bNm3SggULtGrVKl166aV66qmnNGXKFO3du1f9+/d3u860adN07NgxrV27Vuecc44KCgpUV1fXGf0HAHQiQ0bzRsa0Ax1WX1+v2tpaX3cDPmCz2WS1dnxwi9dJ+/LlyzV37lzNmzdPkrRixQq99dZbWr16tZYtW9Ys/s0339S2bdu0f/9+xcTESJLS0tI63HEAQDcxh8dQaQe8ZRiG8vPzderUKV93BT5itVqVnp4um83Woe14lbTX1NRo9+7dWrRokUt7VlaWdu7c6Xad1157TaNGjdIf/vAH/fWvf1VYWJiuueYa/eY3v1FISIjbdaqrq1VdXW3Ol5SUeNNNAEBnMofHUGkHvNWYsCckJCg0NFQWHlDWqzQ0NOjo0aPKy8tT//79O/Tv71XSXlhYqPr6eiUmJrq0JyYmKj8/3+06+/fv13vvvafg4GBt3rxZhYWFuv3223XixAmP49qXLVumBx980JuuAQC6CheiAu1SX19vJuyxsbG+7g58JD4+XkePHlVdXZ2CgoLavZ12DbA587cEwzA8/ubQ0NAgi8WijRs3avTo0brqqqu0fPlybdiwQZWVlW7XWbx4sYqLi83p0KFD7ekmAMBLg+LD9dMx/XX50ISmxkouRAXao3EMe2hoqK+7Ah9qHBZTX1/foe14VWmPi4tTQEBAs6p6QUFBs+p7o+TkZPXt21dRUU0n+4yMDBmGocOHD2vw4MHN1rHb7bLb7d50DQDQCUalxWhUWoxrY+PwGC5EBdqFITG9W2f9+3tVabfZbMrMzFR2drZLe3Z2tsaNG+d2nUsvvVRHjx5VWVmZ2fbVV1/JarWqX79+7e03AKA7NDRI1c7riuyRvu4NAPRaXg+PWbhwoZ5++mmtW7dO+/bt0z333KPc3FzNnz9fcg5tmTVrlhk/Y8YMxcbG6uabb9bevXu1fft23Xvvvbrllls8XogKAPCNqtp6FZVVq6TKeWu6mjKp8TaQ9gif9g0AejOvb/k4ffp0FRUV6aGHHlJeXp6GDRumLVu2aMCAAZKkvLw85ebmmvHh4eHKzs7WXXfdpVGjRik2NlbTpk3Tww8/3LmfBADQYa/kHNGilz/TxIxEPT17lDNpl2QJkIIotACAr3idtEvS7bffrttvv93tsg0bNjRrGzp0aLMhNQCAHqDambTbwyXG5QKAz3T88UwAgLNXTanj1cbQGKA3SUtL04oVK1zaLrzwQi1dutRnfert2lVpBwD0EtXOpN0e7uueAGeVipo6j8usFouCgwI6LTbURrp3NuBfEQDgmTk8hko70JnOe+Atj8smDInX+ptHm/OZv/mnKmvd3+P7kvQYbbptrDn/vUfe0YnyGpeY735/daf0Gb7F8BgAgGeNF6LaqLQDgC9RaQcAeMbwGKBL7H1ossdl1jMu+t59/8Q2x773/0zohN5JVqtVhmG4tDU+4RW+QdIOADClxYXp+ov66fwU54OUqrkQFegK3owz76rYlsTHxysvL8+cLykp0YEDBzpl22gfknYAgGnMwFiNGRjb1FDDmHagN7riiiu0YcMGTZ06VX369NH999+vgICANqyJrkLSDgDw7PT7tAPoNRYvXqz9+/frhz/8oaKiovSb3/yGSruPkbQDAEx19Q2qrTdktUr2wAAuRAV6qcjISG3atMmlbfbs2T7rD7h7DADgNH/bdVgZD7ypO5/NcTRUlzheGR4DAD5F0g4A8Iz7tAOAXyBpBwB4xvAYAPALJO0AAM+4EBUA/AJJOwCgGfNxLWalneExAOBLJO0AAM+4EBUA/AJJOwDAPcNgeAwA+Anu0w4AMKXGhOiqC5I0ol+0VFclGfWOBVyICgA+RdIOADCNHxyv8YPjHTNlx5sWkLQDgE8xPAYA4F7jRahBoZKV/y4AdNz999+vW2+9tcv3M2fOHF133XVdvp+f/OQnWr58eZfvRyTtAACPaisdr0Ghvu4JAD+Sl5enGTNmaMiQIbJarVqwYEGb1jt27Jgee+wx3XfffWbb9u3bNXXqVKWkpMhiseiVV15ptp5hGFq6dKlSUlIUEhKiyy+/XJ9//nmHPsOGDRsUHR3tdpmnfrjzwAMP6Le//a1KSko61J+2IGkHAJg2fnRQaYve0K3P7JJqKxyNJO0ATlNdXa34+HgtWbJEI0aMaPN6a9eu1dixY5WWlma2lZeXa8SIEVq5cqXH9f7whz9o+fLlWrlypf79738rKSlJkyZNUmlpaYc/S0cNHz5caWlp2rhxY5fvi6QdANCMxSKpptwxYyNpB3qLZ555RrGxsaqurnZpv/766zVr1ixJUlpamh577DHNmjVLUVFRbd72888/r2uuucalbcqUKXr44Yf14x//2O06hmFoxYoVWrJkiX784x9r2LBh+stf/qKKigo9++yzbd737t27lZCQoN/+9rdtXkeSli5dKovF0mzasGGDGXPNNdfoueee82q77UHSDgBwj+ExQOczDMcvxN09GUabunfDDTeovr5er732mtlWWFio119/XTfffHO7P/bJkye1Z88ejRo1yqv1Dhw4oPz8fGVlZZltdrtdl112mXbu3Nmmbbz77ru68sor9eCDD2rJkiVe7f8Xv/iF8vLyzOnRRx9VaGioy+cYPXq0/vWvfzX7RaezcfcYAIDJ5f/1WmelnaQd6Dy1FdLvUrp/v/cdlWxhrYaFhIRoxowZWr9+vW644QZJ0saNG9WvXz9dfvnl7d79wYMHZRiGUlK8++z5+fmSpMTERJf2xMREHTx4sNX1X331Vc2cOVNPPfWUbrzxRpdlxcXFCg9v+c5Y4eHhZsyHH36oX/3qV/rLX/6iYcOGmTF9+/ZVdXW18vPzNWDAAK8+nzdI2gEA7tU4x7QzPAboVX72s5/p4osv1pEjR9S3b1+tX79ec+bMkcViafc2Kysdf7kLDg5u1/pn7tswjFb789FHH+n111/XCy+8oB/96EfNlkdEROjjjz9u1j548OBmbbm5ubruuuv0i1/8QtOmTXNZFhISIkmqqKho8+dpD5J2AIB7DI8BOl9QqKPq7Yv9ttHIkSM1YsQIPfPMM5o8ebI+++wz/f3vf+/Q7uPi4iTnMJn4+Pg2r5eUlCQ5K+7Jyclme0FBQbPq+5kGDRqk2NhYrVu3TldffbVsNpvLcqvVqnPOOafVPpSXl+uaa67R2LFj9dBDDzVbfuLECUny6nO1B2PaAQDuMTwG6HwWi2OYSndPXlbJ582bp/Xr12vdunWaOHGiUlNTO/SxBw0apMjISO3du9er9dLT05WUlKTs7GyzraamRtu2bdO4ceNaXDcuLk5bt27Vt99+q+nTp6u2ttbrfhuGoZ/+9KdqaGjQX//6V7fV/T179qhfv37mLyZdhaQdAGDqGx2iy4fEa1hKVFOlneExQK9z00036ciRI/rf//1f3XLLLc2Wf/LJJ/rkk09UVlam48eP65NPPmkxIbdarZo4caLee+89l/aysjJzW3JeePrJJ58oNzdXcg6LWbBggX73u99p8+bN2rNnj+bMmaPQ0FDNmDGj1c+RkJCgrVu36osvvtCNN96ouro6r47D0qVL9c9//lNPPfWUysrKlJ+fr/z8fHO4jyTt2LHD5ULZrsLwGACAacLQBE0YmuCYeaux0h7i0z4B6H6RkZG6/vrr9cYbb7h9sujIkSPN97t379azzz6rAQMG6LvvvvO4zVtvvVVz587VH/7wB1mdT1netWuXJkyYYMYsXLhQkjR79mzztoq//OUvVVlZqdtvv10nT57UJZdcorffflsRERFt+ixJSUnaunWrLr/8ct10001e3Spy27ZtKisra1bVbxznX1VVpc2bN+utt95q8zbby2IYbbwHkA+VlJQoKipKxcXFioyM9HV3AKB3eP0eadc66bJF0oTFvu4N0ONUVVXpwIEDSk9Pb/cFmL40adIkZWRk6PHHH++U7RmGoTFjxmjBggXN7uTSUz3xxBN69dVX9fbbb3uMael74E2Oy/AYAIB7DI8BeqUTJ07o+eef19atW3XHHXd02nYtFovWrFnj9RAVfxYUFKQ///nP3bKvdiXtq1atMn9byMzM1I4dO9q03vvvv6/AwEBdeOGF7dktAKCLPfevXGXc/6bufi6n6YmoXIgK9CoXXXSRbrvtNj3yyCMaMmRIp257xIgRmjlzZqdu05duvfXWTj9Gnng9pn3Tpk1asGCBVq1apUsvvVRPPfWUpkyZor1796p///4e1ysuLtasWbN05ZVX6tixYx3tNwCgC9Q1GKqsrVdtfYNU77znMEk70Ku0NC4dvuN1pX358uWaO3eu5s2bp4yMDK1YsUKpqalavXp1i+vddtttmjFjhsaOHduR/gIAugvDYwDAb3iVtNfU1Gj37t3NbmuTlZWlnTt3elxv/fr1+vbbb/XrX/+6Tfuprq5WSUmJywQA6GYMjwE6RQ+45we6UGf9+3uVtBcWFqq+vr7ZE6gSExOVn5/vdp2vv/5aixYt0saNGxUY2LbROMuWLVNUVJQ5dfSG/gCAduCJqECHBAUFSd3weHv4t5qaGklSQEBAh7bTrvu0n/k0KMMw3D4hqr6+XjNmzNCDDz6oc889t83bX7x4sXmfTjlvh0PiDgDdrNaZaDA8BmiXgIAARUdHq6CgQJIUGhrqNl/C2auhoUHHjx9XaGhom4vXnni1dlxcnAICAppV1QsKCppV3yWptLRUu3btUk5Oju68806z84ZhKDAwUG+//bauuOKKZuvZ7XbZ7XbvPw0AoPMwPAbosKSkJMmZK6F3slqt6t+/f4d/YfMqabfZbMrMzFR2drZ+9KMfme3Z2dm69tprm8VHRkbqs88+c2lbtWqVtm7dqhdffFHp6ekd6TsAoJMlRth1SXqMBieES98xPAboKIvFouTkZCUkJKi2ttbX3YEP2Gw28wmwHeF1nX7hwoWaOXOmRo0apbFjx2rNmjXKzc3V/PnzJefQliNHjuiZZ56R1WrVsGHDXNZPSEhQcHBws3YAgO9lnZ+krPOTpIYGaSdJO9BZAgICOjymGb2b10n79OnTVVRUpIceekh5eXkaNmyYtmzZogEDBkiS8vLylJub2xV9BQB0l9rTLpxjTDsA+JzF6AH3ISopKVFUVJSKi4sVGRnp6+4AwNmv7Lj06DmO9w+clDrhT7sAAFfe5Lgdu4wVAHBW+du/D+mRN7/QDYPqtUiSAkNI2AHAD5C0AwBMVXX1KiqvUV1VlaOBoTEA4BconwAAmrEZzqSdi1ABwC+QtAMAmglqqHa8CQz2dVcAACTtAAB3gowa5xuSdgDwByTtAIBmzKSdSjsA+AWSdgBAMyTtAOBfSNoBAKbYMLuG94tSUqjzER5BIb7uEgCAWz4CAE539fBkXT08Wfr3F9J+SYF2X3cJAEClHQDgVq3zlo+BVNoBwB+QtAMAmqurdLxSaQcAv0DSDgAwvbj7sC79/Va9+/khRwNj2gHAL5C0AwBMZVW1OnKqUnU1VNoBwJ+QtAMAmglqaLzlI5V2APAHJO0AgGaCjGrHGyrtAOAXSNoBAM2YD1diTDsA+AWSdgBAM01PRKXSDgD+gKQdANBMUEPj8Bgq7QDgD3giKgDAFBUapHMSwhVm1DkaqLQDgF8gaQcAmH40sp9+NLKf9L9WqZQx7QDgLxgeAwBorq5xeEywr3sCACBpBwC4Vdf4cCWSdgDwByTtAADT5pzDmrR8m4pLyxwNQSTtAOAPSNoBAKZTFbX6uqBM1voqRwOVdgDwCyTtAIBmAs37tJO0A4A/IGkHADRja+BCVADwJyTtAACTYUgBqleA6h0N3PIRAPwCSTsAwIVdtU0zPFwJAPwCSTsAwEWwappmGB4DAH6BpB0AYAq3B2pAVIBjxhokWQN83SUAAEk7AOB00y5O1eafXeSYYTw7APiNdiXtq1atUnp6uoKDg5WZmakdO3Z4jH355Zc1adIkxcfHKzIyUmPHjtVbb73VkT4DALpSXeM92hnPDgD+wuukfdOmTVqwYIGWLFminJwcjR8/XlOmTFFubq7b+O3bt2vSpEnasmWLdu/erQkTJmjq1KnKycnpjP4DADqbmbRTaQcAf2ExDMPwZoVLLrlEF110kVavXm22ZWRk6LrrrtOyZcvatI3zzz9f06dP1wMPPNCm+JKSEkVFRam4uFiRkZHedBcA4IXX/nNUH/1/r+i3JYuluHOlO//t6y4BwFnLmxzXq0p7TU2Ndu/eraysLJf2rKws7dy5s03baGhoUGlpqWJiYjzGVFdXq6SkxGUCAHS946XVOlx4yjHD8BgA8BteJe2FhYWqr69XYmKiS3tiYqLy8/PbtI0//vGPKi8v17Rp0zzGLFu2TFFRUeaUmprqTTcBAB1g3vKR2z0CgN9o14WoFovFZd4wjGZt7jz33HNaunSpNm3apISEBI9xixcvVnFxsTkdOnSoPd0EALSDrfHhSiTtAOA3Ar0JjouLU0BAQLOqekFBQbPq+5k2bdqkuXPn6oUXXtDEiRNbjLXb7bLb+bMsAPiCTXWONwE2X3cFAODkVaXdZrMpMzNT2dnZLu3Z2dkaN26cx/Wee+45zZkzR88++6yuvvrq9vcWANDlbJbGSjvFEwDwF15V2iVp4cKFmjlzpkaNGqWxY8dqzZo1ys3N1fz58yXn0JYjR47omWeekZwJ+6xZs/TYY49pzJgxZpU+JCREUVFRnf15AAAd1FRpD/J1VwAATl4n7dOnT1dRUZEeeugh5eXladiwYdqyZYsGDBggScrLy3O5Z/tTTz2luro63XHHHbrjjjvM9tmzZ2vDhg2d9TkAAJ0gOMiqaFuDZEgKoNIOAP7C6/u0+wL3aQeAbrT9UWnrb6SRP5WufcLXvQGAs1aX3acdANAL1Dtv+UilHQD8Bkk7AMBVXbXjlQtRAcBvkLQDAEyvf3pUb3xy0DHDLR8BwG94fSEqAODslV9cJXtxqeN/ByrtAOA3qLQDAFxwy0cA8D8k7QAAF0GWxqSdSjsA+AuSdgCAC5t4IioA+BuSdgCAC7s5PIYLUQHAX5C0AwBcUGkHAP9D0g4AMAVYLQq2UmkHAH/DLR8BAKabL02X9oVLh0naAcCfUGkHALiq54moAOBvSNoBAK7qnWPaqbQDgN8gaQcAmN7ck6/8E8WOGSrtAOA3SNoBAKZDJypUV+scHsPDlQDAb5C0AwBc2M1bPjI8BgD8BUk7AMCFeZ92Ku0A4DdI2gEAJkOGbOYTUYN83R0AgBNJOwDABU9EBQD/Q9IOADBZjHoFWAzHDMNjAMBvkLQDAEzWhpqmGS5EBQC/QdIOADDNHdO3aYZKOwD4DZJ2AECTutMq7VyICgB+g6QdANCk/rQHK1ksvu4NAMCJpB0AYHr/y6OSpBoF+rorAIDTkLQDAExHCoslknYA8Dsk7QAAU4DhGNNeZ+HOMQDgT0jaAQCmgAbHg5XqLFyECgD+hKQdAGAKaGistJO0A4A/IWkHAJgak/Z6K8NjAMCfkLQDAExWhscAgF9qV9K+atUqpaenKzg4WJmZmdqxY0eL8du2bVNmZqaCg4M1cOBAPfnkk+3tLwCgCzVdiMrdYwDAn3idtG/atEkLFizQkiVLlJOTo/Hjx2vKlCnKzc11G3/gwAFdddVVGj9+vHJycnTffffp7rvv1ksvvdQZ/QcAdKIJ50RLktIT+/i6KwCA03idtC9fvlxz587VvHnzlJGRoRUrVig1NVWrV692G//kk0+qf//+WrFihTIyMjRv3jzdcsstevTRRzuj/wCAThRoOIbHWAODfd0VAMBpvPr7Z01NjXbv3q1Fixa5tGdlZWnnzp1u1/nggw+UlZXl0jZ58mStXbtWtbW1CgpqPm6yurpa1dXV5nxJSYk33excu9bp1LbVOlle4zEkKSpYIUEBkqSSqloVlXmOTYi0K8zmOOyl1XUqLK32GBsfYVe43RFbXlOnghLPsXERNkXYHceyorZOx4o9x8aE2xQV7IitrK1XfnGVx9g+YUGKDnFckFZdV6+jpzzHRoUGKSbUEVtT36AjJys9xkaGBCo2zC5Jqmto0KETnmMjggMVF+6IrTcM5RZVeIwNCw5UgjO2QYYOFnqODbUHKDGiKTE5UFQuGe5jQ2wBSopsiv2uqFyGh1h7kFUpUSHm/MET5WpocB9rC7Sqb3RT7KGTFaqrd7/hoACL+vUJNecPn6pQbZ372IAAi/qfFnu0uFLVte47YbVKA2LCzPm84kpVeYiVRUqPbYrNL6lSZU29+1hJaXGhssgiSSoorVJ5tefYAbGhslocscfLqlVWVecxNjUmVIFWR2xhebVKKz3H9osJUZDVUZ84UVGj4opaj7F9+4TIFuCIPVlZo1PlnmOTo4MVHOj4uT9VWXvWnCMijBLFSVIgF6ICgD/xKmkvLCxUfX29EhMTXdoTExOVn5/vdp38/Hy38XV1dSosLFRycnKzdZYtW6YHH3zQm651nfJCRZd+peiWYk42vY10Th6danob4Zw8Km56GyYpvY2xoa3FljgnSSGtxZY6J0n21mLLnJMkW2ux5c7J+SVsMbbCOUkK8CLW2lpspXNyajG2yjk5pbUUWy2poGl2QEuxNa6xqS3FNrjG9vMiNsWL2OY/kWc4LTbJi9iE1mKPN72Nd04eFTa9jXNObYmNcU4eFTW97eOcPDrR9DbaOXnU084RkhQzsLUIAEA3ateVRhZnNayRYRjN2lqLd9feaPHixVq4cKE5X1JSotTUFtOZrnPBDToePVz5LVSu0+NCzWpXUXlNi9XoAbEhinRWuU9W1OjwSc+x/WKC1cdZ5T5VWdtiNbpvdLBiwhyxJVV1OthCNTo5Olhxztiy6nodKCz3GJsYaVdChKNyXVFbr28LPMcmRNiU6KxGV9XV6+tjnmPjwoOU7KxG19Q36Mv8Mo+xMWFBZjW6tt7QF/mlHmOjQ4OU2scRW29Ie496/itNZEigBsQ0VaM/O+I5Njw4wKXC/HleicfqeZg9QAPjmmL35ZWozkNsSJBV5ySEm/NfHitVjYfquT3IonMTmlK4rwrKPFbPgwIsGprUFPvN8XKPFfEAq3ReclMaub+w3GNF3GqRzk9piv2uqFylVZ6r58P6Rqrxpzz3ZIWKKzxXxM9LjlCAs3p++FSlTrZQ5R6SFG5WxI+cqtSJFmLPTQyXPdARm1dSpcJSz1XucxLCzIr4sZJqFbRQ5R6YEKYwZ+zxsuqz6xwRG6m4oeM9LgcAdD+vkva4uDgFBAQ0q6oXFBQ0q6Y3SkpKchsfGBio2NhYt+vY7XbZ7XZvutZ1YtIVH5PectXvNLHOqS1areSdptVK3mkiJV3QxthwL2JDJV0wtG2xwZIuGNK2WJukC85tW2yQF7EBki44p22xknTBoLbHnu9FbIYXsUO8iD3Xi9hzvIgd6EVsmhex/dseqn6t/SXhNH2dU1skt+UvCU6JzqktWv3LwGl62jkCAOAfvLoQ1WazKTMzU9nZ2S7t2dnZGjdunNt1xo4d2yz+7bff1qhRo9yOZwcAAADgyuu7xyxcuFBPP/201q1bp3379umee+5Rbm6u5s+fLzmHtsyaNcuMnz9/vg4ePKiFCxdq3759WrdundauXatf/OIXnftJAAAAgLOU12Pap0+frqKiIj300EPKy8vTsGHDtGXLFg0Y4LjcLi8vz+We7enp6dqyZYvuuecePfHEE0pJSdHjjz+u66+/vnM/CQAAAHCWshiGpxvX+Y+SkhJFRUWpuLhYkZEt3ncBAAAA6BG8yXG9Hh4DAAAAoHuRtAMAAAB+jqQdAAAA8HPterhSd2scdl9S4vnhNwAAAEBP0pjbtuUS0x6RtJeWOp6A6bOnogIAAABdpLS0VFFRUS3G9Ii7xzQ0NOjo0aOKiIiQxWJpwxqdq6SkRKmpqTp06BB3r/ESx679OHbtx7HrGI5f+3Hs2o9j134cu47x5fEzDEOlpaVKSUmR1dryqPUeUWm3Wq3q16+tDzXvOpGRkfwwtBPHrv04du3HsesYjl/7cezaj2PXfhy7jvHV8Wutwt6IC1EBAAAAP0fSDgAAAPg5kvY2sNvt+vWvfy273e7rrvQ4HLv249i1H8euYzh+7cexaz+OXftx7Dqmpxy/HnEhKgAAANCbUWkHAAAA/BxJOwAAAODnSNoBAAAAP0fSDgAAAPi5Xpm0r1q1Sunp6QoODlZmZqZ27NjRYvy2bduUmZmp4OBgDRw4UE8++WSzmJdeeknnnXee7Ha7zjvvPG3evLkLP4HveHPsXn75ZU2aNEnx8fGKjIzU2LFj9dZbb7nEbNiwQRaLpdlUVVXVDZ+me3lz7N599123x+WLL75wiest3zt5efzmzJnj9vidf/75Zkxv+e5t375dU6dOVUpKiiwWi1555ZVW1+Gc5+DtseOc18TbY8c5r4m3x47zXZNly5bp4osvVkREhBISEnTdddfpyy+/bHW9nnLO63VJ+6ZNm7RgwQItWbJEOTk5Gj9+vKZMmaLc3Fy38QcOHNBVV12l8ePHKycnR/fdd5/uvvtuvfTSS2bMBx98oOnTp2vmzJn6z3/+o5kzZ2ratGn66KOPuvGTdT1vj9327ds1adIkbdmyRbt379aECRM0depU5eTkuMRFRkYqLy/PZQoODu6mT9U9vD12jb788kuX4zJ48GBzWW/53qkdx++xxx5zOW6HDh1STEyMbrjhBpe43vDdKy8v14gRI7Ry5co2xXPOa+LtseOc18TbY9eIc573x47zXZNt27bpjjvu0Icffqjs7GzV1dUpKytL5eXlHtfpUec8o5cZPXq0MX/+fJe2oUOHGosWLXIb/8tf/tIYOnSoS9ttt91mjBkzxpyfNm2a8YMf/MAlZvLkycZ//dd/dWrffc3bY+fOeeedZzz44IPm/Pr1642oqKhO7ac/8vbYvfPOO4Yk4+TJkx632Vu+d0YnfPc2b95sWCwW47vvvjPbest373SSjM2bN7cYwznPvbYcO3d66znvdG05dpzz3GvP947zXZOCggJDkrFt2zaPMT3pnNerKu01NTXavXu3srKyXNqzsrK0c+dOt+t88MEHzeInT56sXbt2qba2tsUYT9vsidpz7M7U0NCg0tJSxcTEuLSXlZVpwIAB6tevn374wx82q0r1dB05diNHjlRycrKuvPJKvfPOOy7LesP3Tp303Vu7dq0mTpyoAQMGuLSf7d+99uCc13l66zmvIzjndRznuybFxcWS1Oxn8HQ96ZzXq5L2wsJC1dfXKzEx0aU9MTFR+fn5btfJz893G19XV6fCwsIWYzxtsydqz7E70x//+EeVl5dr2rRpZtvQoUO1YcMGvfbaa3ruuecUHBysSy+9VF9//XWnfwZfac+xS05O1po1a/TSSy/p5Zdf1pAhQ3TllVdq+/btZkxv+N6pE757eXl5+sc//qF58+a5tPeG7157cM7rPL31nNcenPM6B+e7JoZhaOHChfre976nYcOGeYzrSee8wG7dm5+wWCwu84ZhNGtrLf7Mdm+32VO193M+99xzWrp0qV599VUlJCSY7WPGjNGYMWPM+UsvvVQXXXSR/vznP+vxxx/v5N77ljfHbsiQIRoyZIg5P3bsWB06dEiPPvqovv/977drmz1dez/rhg0bFB0dreuuu86lvTd997zFOa/jOOd5h3Ne5+B81+TOO+/Up59+qvfee6/V2J5yzutVlfa4uDgFBAQ0+82ooKCg2W9QjZKSktzGBwYGKjY2tsUYT9vsidpz7Bpt2rRJc+fO1d/+9jdNnDixxVir1aqLL774rPrtvyPH7nRjxoxxOS694XunDh4/wzC0bt06zZw5UzabrcXYs/G71x6c8zqut5/zOktvPee1F+e7JnfddZdee+01vfPOO+rXr1+LsT3pnNerknabzabMzExlZ2e7tGdnZ2vcuHFu1xk7dmyz+LffflujRo1SUFBQizGettkTtefYyVltmjNnjp599lldffXVre7HMAx98sknSk5O7pR++4P2Hrsz5eTkuByX3vC9UweP37Zt2/TNN99o7ty5re7nbPzutQfnvI7hnNd5eus5r7043zk+15133qmXX35ZW7duVXp6eqvr9KhzXrde9uoHnn/+eSMoKMhYu3atsXfvXmPBggVGWFiYeZX1okWLjJkzZ5rx+/fvN0JDQ4177rnH2Lt3r7F27VojKCjIePHFF82Y999/3wgICDB+//vfG/v27TN+//vfG4GBgcaHH37ok8/YVbw9ds8++6wRGBhoPPHEE0ZeXp45nTp1yoxZunSp8eabbxrffvutkZOTY9x8881GYGCg8dFHH/nkM3YVb4/dn/70J2Pz5s3GV199ZezZs8dYtGiRIcl46aWXzJje8r0z2nH8Gv30pz81LrnkErfb7C3fvdLSUiMnJ8fIyckxJBnLly83cnJyjIMHDxoG57wWeXvsOOc18fbYcc5r4u2xa8T5zjB+/vOfG1FRUca7777r8jNYUVFhxvTkc16vS9oNwzCeeOIJY8CAAYbNZjMuuugil1sBzZ4927jssstc4t99911j5MiRhs1mM9LS0ozVq1c32+YLL7xgDBkyxAgKCjKGDh3qcqI5m3hz7C677DJDUrNp9uzZZsyCBQuM/v37GzabzYiPjzeysrKMnTt3dvvn6g7eHLtHHnnEGDRokBEcHGz06dPH+N73vme88cYbzbbZW753Rjt+bk+dOmWEhIQYa9ascbu93vLda7yVnqefQ855nnl77DjnNfH22HHOa9Ken1nOdw7ujpskY/369WZMTz7nWYzG0fYAAAAA/FKvGtMOAAAA9EQk7QAAAICfI2kHAAAA/BxJOwAAAODnSNoBAAAAP0fSDgAAAPg5knYAAADAz5G0AwAAAH6OpB0AepClS5fqwgsv9Nn+77//ft16661dtv2CggLFx8fryJEjXbYPAOiJeCIqAPgJi8XS4vLZs2dr5cqVqq6uVmxsbLf1q9GxY8c0ePBgffrpp0pLS+uy/SxcuFAlJSV6+umnu2wfANDTkLQDgJ/Iz88332/atEkPPPCAvvzyS7MtJCREUVFRPuqd9Lvf/U7btm3TW2+91aX7+eyzzzR69GgdPXpUffr06dJ9AUBPwfAYAPATSUlJ5hQVFSWLxdKs7czhMXPmzNF1112n3/3ud0pMTFR0dLQefPBB1dXV6d5771VMTIz69eundevWuezryJEjmj59uvr06aPY2Fhde+21+u6771rs3/PPP69rrrnGpe3yyy/XXXfdpQULFqhPnz5KTEzUmjVrVF5erptvvlkREREaNGiQ/vGPf5jrnDx5UjfddJPi4+MVEhKiwYMHa/369ebyCy64QElJSdq8eXMnHFUAODuQtANAD7d161YdPXpU27dv1/Lly7V06VL98Ic/VJ8+ffTRRx9p/vz5mj9/vg4dOiRJqqio0IQJExQeHq7t27frvffeU3h4uH7wgx+opqbG7T5OnjypPXv2aNSoUc2W/eUvf1FcXJz+9a9/6a677tLPf/5z3XDDDRo3bpw+/vhjTZ48WTNnzlRFRYXkHBe/d+9e/eMf/9C+ffu0evVqxcXFuWxz9OjR2rFjR5ccLwDoiUjaAaCHi4mJ0eOPP64hQ4bolltu0ZAhQ1RRUaH77rtPgwcP1uLFi2Wz2fT+++9Lzoq51WrV008/rQsuuEAZGRlav369cnNz9e6777rdx8GDB2UYhlJSUpotGzFihH71q1+Z+woJCVFcXJx+9rOfafDgwXrggQdUVFSkTz/9VJKUm5urkSNHatSoUUpLS9PEiRM1depUl2327du31co/APQmgb7uAACgY84//3xZrU01mMTERA0bNsycDwgIUGxsrAoKCiRJu3fv1jfffKOIiAiX7VRVVenbb791u4/KykpJUnBwcLNlw4cPb7avCy64wKU/ct4ZRpJ+/vOf6/rrr9fHH3+srKwsXXfddRo3bpzLNkNCQszKPACApB0AerygoCCXeYvF4ratoaFBktTQ0KDMzExt3Lix2bbi4+Pd7qNx+MrJkyebxbS2/8a74jTuf8qUKTp48KDeeOMN/fOf/9SVV16pO+64Q48++qi5zokTJzz2BQB6I4bHAEAvc9FFF+nrr79WQkKCzjnnHJfJ091pBg0apMjISO3du7dT+hAfH685c+bo//7v/7RixQqtWbPGZfmePXs0cuTITtkXAJwNSNoBoJe56aabFBcXp2uvvVY7duzQgQMHtG3bNv33f/+3Dh8+7HYdq9WqiRMn6r333uvw/h944AG9+uqr+uabb/T555/r9ddfV0ZGhrm8oqJCu3fvVlZWVof3BQBnC5J2AOhlQkNDtX37dvXv318//vGPlZGRoVtuuUWVlZWKjIz0uN6tt96q559/3hzm0l42m02LFy/W8OHD9f3vf18BAQF6/vnnzeWvvvqq+vfvr/Hjx3doPwBwNuHhSgCANjEMQ2PGjNGCBQt04403dtl+Ro8erQULFmjGjBldtg8A6GmotAMA2sRisWjNmjWqq6vrsn0UFBToJz/5SZf+UgAAPRGVdgAAAMDPUWkHAAAA/BxJOwAAAODnSNoBAAAAP0fSDgAAAPg5knYAAADAz5G0AwAAAH6OpB0AAADwcyTtAAAAgJ8jaQcAAAD83P8PQmX17r/qQR0AAAAASUVORK5CYII=", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "m = myokit.parse_model(\"\"\"\n", + "[[model]]\n", + "filter.y1 = 0\n", + "\n", + "[filter]\n", + "pace = 0 bind pace\n", + "time = 0 bind time\n", + "fc = 10\n", + "alpha = 1 / (2 * 3.14159 * fc)\n", + "dot(y1) = (pace - y1) / alpha\n", + "\"\"\")\n", + "\n", + "p = myokit.Protocol()\n", + "p.schedule(start=1, duration=10, level=1)\n", + "\n", + "s = myokit.Simulation(m, p)\n", + "d1 = s.run(2, log_interval=0.0001)\n", + "\n", + "fig = plt.figure(figsize=(9, 3))\n", + "ax = fig.add_subplot()\n", + "ax.set_xlabel('Time (ms)')\n", + "ax.plot(d1.time(), d1['filter.pace'], '--', label='u')\n", + "ax.plot(d1.time(), d1['filter.y1'], label='y1 (10 kHz)')\n", + "ax.legend(loc='right')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "17bcccf3-55cd-4c60-bc03-b5ed65cc0672", + "metadata": {}, + "source": [ + "Note that we've been cheeky and have omitted the units: time is in ms, which means the model's `fc` variable is in kHz." + ] + }, + { + "cell_type": "markdown", + "id": "fbe6fb37-e074-4ceb-a670-69641d671904", + "metadata": {}, + "source": [ + "### Rise time\n", + "\n", + "We can work out a rise time for this model by writing out the solution of the ODE for a step from 0 to 1, occuring at t=0:\n", + "\n", + "\\begin{align}\n", + "y(t) = 1 - e^{-t/\\alpha}\n", + "\\end{align}\n", + "\n", + "Defining the rise time as the time from $y(t1)=0.1$ to $y(t2)=0.9$ we find\n", + "\\begin{align}\n", + "t_1 &= -\\alpha \\log(1 - 0.1) \\\\\n", + "t_2 &= -\\alpha \\log(1 - 0.9) \\\\\n", + "t_r &= t_2 - t_1 = \\alpha \\log(9)\n", + "\\end{align}\n", + "\n", + "Which lets us relate alpha, rise time, and cut-off frequency as:\n", + "\\begin{align}\n", + "\\alpha &= \\frac{t_r}{\\log 9} = \\frac{1}{2 \\pi f_c} \n", + "\\quad \\rightarrow \\quad\n", + "f_c = \\frac{\\log 9}{2 \\pi t_r}\n", + "\\end{align}" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "a31ba4f6-ad55-49e0-96b2-238c6f93d227", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "alpha = 1 / (2 * 3.14159 * 10)\n", + "t1 = -alpha * np.log(0.9)\n", + "t2 = -alpha * np.log(0.1)\n", + "\n", + "fig = plt.figure(figsize=(9, 3))\n", + "ax = fig.add_subplot()\n", + "ax.set_xlabel('Time (ms)')\n", + "kw = dict(lw=1, color='#999')\n", + "ax.axhline(0.1, **kw)\n", + "ax.axhline(0.9, **kw)\n", + "ax.axvline(1 + t1, **kw)\n", + "ax.axvline(1 + t2, **kw)\n", + "ax.plot(d1.time(), d1['filter.pace'], '--', label='u')\n", + "ax.plot(d1.time(), d1['filter.y1'], label='y1 (10 kHz)')\n", + "ax.legend(loc='right')\n", + "ax.set_xlim(0.96, 1.13)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "1b52bd8f-f0e8-4273-9825-aa3c63991b33", + "metadata": {}, + "source": [ + "### Comparison with SciPy\n", + "\n", + "Finally, we check if SciPy agrees with what we've done:" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "31f5bd34-726f-4192-97bb-5917af27b08e", + "metadata": {}, + "outputs": [], + "source": [ + "def low_pass(time, data, f, n=3):\n", + " \"\"\" Emulate an analog Bessel low-pass filter with cut-off f in Hz. \"\"\"\n", + " b, a = scipy.signal.bessel(n, 2 * np.pi * f, analog=True, norm='mag')\n", + " t, y, _ = scipy.signal.lsim((b, a), data, time)\n", + " return t, y" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "34ff9d29-3a1e-4803-89c8-052d34562618", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "s.reset()\n", + "s.set_constant('filter.fc', 25)\n", + "d2 = s.run(2, log_interval=0.0001)\n", + "\n", + "fig = plt.figure(figsize=(9, 3))\n", + "ax = fig.add_subplot()\n", + "ax.set_xlabel('Time (ms)')\n", + "kw = dict(lw=1, color='#999')\n", + "ax.plot(d1.time(), d1['filter.y1'], label='Simulated n=1, 10kHz')\n", + "ax.plot(*low_pass(d1.time(), d1['filter.pace'], 10, 1), 'k--', label='SciPy n=1, 10kHz')\n", + "ax.plot(d2.time(), d2['filter.y1'], label='Simulated n=1, 25kHz')\n", + "ax.plot(*low_pass(d1.time(), d1['filter.pace'], 25, 1), 'k:', label='SciPy n=1, 25kHz')\n", + "ax.legend(loc='right')\n", + "ax.set_xlim(0.96, 1.13)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "fb456a90-1ad0-47ba-97be-1c9112572250", + "metadata": {}, + "source": [ + "## The 2-pole Bessel filter" + ] + }, + { + "cell_type": "markdown", + "id": "a40adc02-4047-49e0-bdbd-c68959058f02", + "metadata": {}, + "source": [ + "We can find an ODE form for the 2-pole Bessel filter by working out an inverse Laplace transform.\n", + "The filter's transfer function\n", + "\\begin{align}\n", + "H(s) = \\frac{Y(s)}{U(s)} &= \\frac{3}{s^2 + 3s + 3}\n", + "\\end{align}\n", + "can be rewritten as\n", + "\\begin{align}\n", + "s^2Y(s) + 3sY(s) + 3Y(s) &= 3U(s)\n", + "\\end{align}\n", + "which corresponds to\n", + "\\begin{align}\n", + "\\ddot{y}(t) + 3 \\dot{y}(t) + 3 y(t) = 3 u(t), && \\dot{y}(0)=0, && y(0)=0\n", + "\\end{align}\n", + "\n", + "To convert this to a system of first-order ODEs, we choose $y_2 = y$ and $y_1 = \\dot{y}$ to find\n", + "\\begin{align}\n", + "\\dot{y_1} &= 3(u(t) - y_2 - y_1) \\\\\n", + "\\dot{y_2} &= y_1\n", + "\\end{align}\n", + "Note that $y = y_2(t)$ here is the final variable of interest, representing the filter's output.\n", + "\n", + "Let's try it out!" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "bd25d749-ee14-480e-af9d-9319efdd7176", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "m = myokit.parse_model(\"\"\"\n", + "[[model]]\n", + "f.y1 = 0\n", + "f.y2 = 0\n", + "\n", + "[f]\n", + "pace = 0 bind pace\n", + "time = 0 bind time\n", + "dot(y1) = 3 * (pace - y2 - y1)\n", + "dot(y2) = y1\n", + "\"\"\")\n", + "\n", + "p = myokit.Protocol()\n", + "p.schedule(start=1, duration=10, level=1)\n", + "\n", + "s = myokit.Simulation(m, p)\n", + "e = s.run(8)\n", + "\n", + "fig = plt.figure(figsize=(9, 3))\n", + "ax = fig.add_subplot()\n", + "ax.set_xlabel('Time')\n", + "ax.plot(e.time(), e['f.pace'], 'x--', label='u')\n", + "ax.plot(e.time(), e['f.y1'], label='y1')\n", + "ax.plot(e.time(), e['f.y2'], label='y2')\n", + "ax.legend(loc='right')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "c5000893-6a52-4e11-998d-19aef6087219", + "metadata": {}, + "source": [ + "Next, we make it tuneable by adding a scaling factor:\n", + "\n", + "\\begin{align}\n", + "H(s) = \\frac{3}{(\\alpha s)^2 + 3\\alpha s + 3}\n", + "\\end{align}\n", + "for\n", + "\\begin{align}\n", + "\\ddot{y}(t) = \\frac{3}{\\alpha^2} u(t) - \\frac{3}{\\alpha^2} y(t) - \\frac{3}{\\alpha} \\dot{y}(t)\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "d516934d-4bf5-4bf7-973d-756dd5609d93", + "metadata": {}, + "source": [ + "This scaling factor will change the filter's frequency, relative to its _natural frequency_ (the $\\alpha = 1$ case).\n", + "To find the natural cut-off, we can try solving $|H_2(i\\phi)|=1/\\sqrt{2}$, but it's easier* to just use rootfinding:\n", + "\n", + "(*See [Appendix 4](./appendix-A4-bessel-filters.ipynb) for some background on the scipy functions involved.)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "a6dd7c52-1cfd-40e6-afa7-074ece1e5197", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.3616 rad/sec\n" + ] + } + ], + "source": [ + "def bessel_natural_cutoff(n):\n", + " b, a = scipy.signal.bessel(n, 1, analog=True, norm='delay')\n", + " m = lambda w: np.abs(scipy.signal.freqs(b, a, worN=[w])[1])\n", + " e = lambda w: (m(w) - 1 / np.sqrt(2))**2\n", + " w = scipy.optimize.fmin(e, [1], disp=False)[0]\n", + " assert(abs(m(w) - 1 / np.sqrt(2)) < 1e-3)\n", + " return w\n", + "\n", + "print(f'{bessel_natural_cutoff(2):.5} rad/sec')" + ] + }, + { + "cell_type": "markdown", + "id": "679080a3-8e44-491b-b65e-396365fb5bca", + "metadata": {}, + "source": [ + "This means we can set $\\alpha$ using a cut-off frequency $f_c$ (in Hz) as:\n", + "\n", + "\\begin{align}\n", + "\\alpha = \\frac{1.3616}{2 \\pi f_c}\n", + "\\end{align}" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "28287c71-5fb1-41ed-b73b-9e99e664ec6f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "m = myokit.parse_model(\"\"\"\n", + "[[model]]\n", + "filter.y1 = 0\n", + "filter.y2 = 0\n", + "\n", + "[filter]\n", + "pace = 0 bind pace\n", + "time = 0 bind time\n", + "fc = 1\n", + "alpha = 1.3616 / (2 * 3.14159 * fc)\n", + "dot(y1) = 3 * (pace/alpha^2 - y2/alpha^2 - y1/alpha)\n", + "dot(y2) = y1\n", + "\"\"\")\n", + "\n", + "p = myokit.Protocol()\n", + "p.add_step(level=-100, duration=1)\n", + "p.add_step(level=35, duration=10)\n", + "\n", + "fc = 5\n", + "s = myokit.Simulation(m, p)\n", + "s.set_constant('filter.fc', fc)\n", + "s.pre(1)\n", + "d1 = s.run(2, log_interval=1e-3).npview()\n", + "\n", + "fig = plt.figure(figsize=(5, 3))\n", + "fig.subplots_adjust(0.14, 0.15, 0.96, 0.98)\n", + "ax = fig.add_subplot()\n", + "ax.set_xlabel('Time (ms)')\n", + "ax.set_ylabel('Command voltage (mV)')\n", + "ax.plot(d1.time(), d1['filter.y2'], label=f'Simulation, fc={fc} kHz')\n", + "ax.plot(*low_pass(d1.time(), d1['filter.pace'], fc, 2), 'k:', label=f'SciPy, n=2, fc={fc} kHz')\n", + "ax.legend()\n", + "ax.set_xlim(0.99, 1.15)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "ee27af92-acc7-4003-8534-b164049ebb9d", + "metadata": {}, + "source": [ + "We can also relate this to the first-order rise time, by setting it to the same cut-off frequency:\n", + "\n", + "\\begin{align}\n", + "\\alpha = \\frac{1.3616}{2 \\pi f_c} = \\frac{1.3616}{2 \\pi \\log(9) / (2 \\pi t_r)} = \\frac{1.3616}{\\log(9)}t_r\n", + "\\end{align}" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "3420e006-2404-4c9c-a055-b223cbee89c9", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "8.742478814151495\n" + ] + } + ], + "source": [ + "fc = np.log(9) / (2 * np.pi * 0.04)\n", + "print(fc)" + ] + }, + { + "cell_type": "markdown", + "id": "62121ad3-18da-43f3-9f14-34517251ad1d", + "metadata": {}, + "source": [ + "This lets us compare 1st and 2nd order filters with the recordings from an EPC-10 again (see [appendix A4](./Appendix-A4-bessel-filters)):" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "06745c87-9c2a-46e2-ae20-2d84f00a0ff5", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Load the \"20us\" data, which appears to have a rise time of 40us instead\n", + "d0 = myokit.DataLog.load('resources/rise_time_20us.zip')\n", + "d0 = d0.npview()\n", + "\n", + "m = myokit.parse_model(\"\"\"\n", + "[[model]]\n", + "filter.y1 = 0\n", + "filter.y2 = 0\n", + "filter.y3 = 0\n", + "\n", + "[filter]\n", + "pace = 0 bind pace\n", + "time = 0 bind time\n", + "tr = 0.04 [ms] in [ms]\n", + "# Second-order\n", + "a2 = tr * 1.3616 / log(9)\n", + " in [ms]\n", + "dot(y1) = 3 * (pace/a2^2 - y2/a2^2 - y1/a2)\n", + "dot(y2) = y1\n", + "# First-order\n", + "a1 = tr / log(9)\n", + " in [ms]\n", + "dot(y3) = (pace - y3) / a1\n", + "\"\"\")\n", + "\n", + "p = myokit.Protocol()\n", + "p.add_step(level=-100, duration=1)\n", + "p.add_step(level=35, duration=10)\n", + "\n", + "s = myokit.Simulation(m, p)\n", + "s.pre(1)\n", + "d1 = s.run(2, log_interval=1e-3).npview()\n", + "\n", + "fig = plt.figure(figsize=(5, 3))\n", + "fig.subplots_adjust(0.14, 0.15, 0.96, 0.98)\n", + "ax = fig.add_subplot()\n", + "ax.set_xlabel('Time (ms)')\n", + "ax.set_ylabel('Command voltage (mV)')\n", + "ax.plot(d0.time(), d0['vfiltered'], 's-', label='Recording')\n", + "ax.plot(d1.time(), d1['filter.y2'], label=f'Simulation, n=2, tr=40 us')\n", + "ax.plot(d1.time(), d1['filter.y3'], label=f'Simulation, n=1, tr=40 us')\n", + "ax.legend()\n", + "ax.set_xlim(0.99, 1.15)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "feeca2f6-b0b5-4b09-a40f-69bf84effebd", + "metadata": {}, + "source": [ + "### Third-order Bessel" + ] + }, + { + "cell_type": "markdown", + "id": "09e48a9f-1a27-4475-90c2-55a2dc260bc9", + "metadata": {}, + "source": [ + "The third order Bessel filter is given by\n", + "\\begin{align}\n", + "H_3(s) &= \\frac{15}{s^3 + 6s^2 + 15s + 15}\n", + "\\end{align}\n", + "\n", + "Instead of working with this expression directly, we'll write it in terms of its _poles_.\n", + "These can be looked up in tables, or obtained from SciPy:" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "200e7078-8509-4b2a-8aca-3aab79389512", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Zeroes: []\n", + "Poles:\n", + " (-1.838907322686957+1.754380959783721j)\n", + " (-2.3221853546260856-0j)\n", + " (-1.838907322686957-1.754380959783721j)\n", + "Gain: 15.0\n" + ] + } + ], + "source": [ + "zeroes, poles, gain = scipy.signal.bessel(3, 1, output='zpk', analog=True, norm='delay')\n", + "print(f'Zeroes: {zeroes}')\n", + "print('Poles:')\n", + "for pole in poles:\n", + " print(f' {pole}')\n", + "print(f'Gain: {gain}')" + ] + }, + { + "cell_type": "markdown", + "id": "9d5f0364-82f8-42cc-850c-278e21f87a25", + "metadata": {}, + "source": [ + "Note that the first and last form a conjugate pair.\n", + "These conjugate pairs appear in all Bessel filters with 2 or more poles.\n", + "By definition, Bessel filters never have any zeroes.\n", + "\n", + "Using the pole-zero representation, we can write the filter as\n", + "\\begin{align}\n", + "H_3(s) &= 15 \\frac{1}{s + \\sigma_2} \\, \\frac{1}{(s + \\sigma_1 - \\omega_1 i)(s + \\sigma_1 + \\omega_1 i)} \\\\\n", + " &= 15 \\frac{1}{s + \\sigma_2} \\, \\frac{1}{s^2 + (2 \\sigma_1) s + (\\sigma_1^2 + \\omega_1^2)}\n", + "\\end{align}\n", + "where we represented each pole as either $-\\sigma$ (real) or $-\\sigma \\pm \\omega$.\n", + "\n", + "By design $\\sigma_2 \\cdot (\\sigma_1^2 + \\omega_1^2)$ equals the gain $K = 15$, which means we can write\n", + "\\begin{align}\n", + "H_3(s) = \\frac{\\sigma_2}{s + \\sigma_2} \\frac{\\sigma_1^2 + \\omega_1^2}{s^2 + (2 \\sigma_1) s + (\\sigma_1^2 + \\omega_1^2)}\n", + "\\end{align}\n", + "\n", + "This shows that we can write a 3-pole bessel as the product of a first and a second-order filter.\n", + "As a result, we can treat it **as two filters in series** (see [Appendix A2](./appendix-A2-laplace-and-filters.ipynb) \"Block diagrams\").\n", + "In fact, the standard way to create a 2n-pole filter in electronics, is to build a _cascade_ of n 2-pole filters placed in series.\n", + "So this should be similar to what we find in real amplifiers." + ] + }, + { + "cell_type": "markdown", + "id": "df63102e-cfe4-4b47-8007-4bba9c5f649c", + "metadata": {}, + "source": [ + "To find the various numbers involved, we'll use SciPy again:" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "7dca88fa-8af5-431b-9779-76d5ceeb8574", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "sigma2 = 2.3222\n", + "2 sigma1 = 3.6778\n", + "(sigma1^2 + omega1^2) = 6.4594\n" + ] + } + ], + "source": [ + "s1, w1, s2 = -poles[0].real, poles[0].imag, -poles[1].real\n", + "print(f'sigma2 = {s2:.5}')\n", + "print(f'2 sigma1 = {2 * s1:.5}')\n", + "print(f'(sigma1^2 + omega1^2) = {s1**2 + w1**2:.5}')" + ] + }, + { + "cell_type": "markdown", + "id": "edd6e6fe-ea48-4ada-8f45-8460400dc24d", + "metadata": {}, + "source": [ + "And with these we can break down the 3-pole low-pass Bessel filter into a first-order filter\n", + "\\begin{align}\n", + "H(s) = \\frac{2.3222}{s + 2.3222} && \\rightarrow && \\dot{y} = \\frac{u(t) - y(t)}{1 / 2.32}\n", + "\\end{align}\n", + "and a second order filter\n", + "\\begin{align}\n", + "H(s) = \\frac{6.4594}{s^2 + 3.6778s + 6.4594}\n", + "&& \\rightarrow && \n", + "\\ddot{y}(t) = 6.4594u(t) - 3.6778\\dot{y}(t) - 6.4594y(t),\\quad y(0)=0, \\quad \\dot{y}(0)=0\n", + "\\end{align}\n", + "\n", + "Let's try it out." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "dc77099e-cd0e-4ae2-bb99-6ba46c327f68", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "m = myokit.parse_model(\"\"\"\n", + "[[model]]\n", + "f.y1 = 0\n", + "f.y2 = 0\n", + "f.y3 = 0\n", + "\n", + "[f]\n", + "t = 0 bind time\n", + "u = sin(2 * 3.14159 * t / 5) + sin(2 * 3.14159 * t * 5)\n", + "dot(y1) = (u - y1) * 2.3222\n", + "dot(y2) = 6.4594 * (y1 - y3) - 3.6778 * y2\n", + "dot(y3) = y2\n", + " desc: The 3-pole filtered output\n", + "\"\"\")\n", + "s = myokit.Simulation(m)\n", + "e = s.run(10, log_interval=0.001)\n", + "\n", + "fig = plt.figure(figsize=(9, 3))\n", + "ax = fig.add_subplot()\n", + "ax.set_xlabel('Time')\n", + "ax.plot(e.time(), e['f.u'], label='u')\n", + "ax.plot(e.time(), e['f.y1'], label='y1')\n", + "ax.plot(e.time(), e['f.y2'], label='y2')\n", + "ax.plot(e.time(), e['f.y3'], label='y3')\n", + "ax.legend(loc='right')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "7fc8e5bb-7551-462b-9a9b-0c325546ca8f", + "metadata": {}, + "source": [ + "Is this correct?\n", + "We can compare with a SciPy filtered signal to find out, but first we'll need to work out what the natural cut-off frequency for this filter is." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "f4883c77-5786-4a27-bc4a-e43c048e6a36", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.7557 rad/sec\n", + "0.27942 Hz\n" + ] + } + ], + "source": [ + "print(f'{bessel_natural_cutoff(3):.5} rad/sec')\n", + "print(f'{bessel_natural_cutoff(3) / (2 * np.pi):.5} Hz')" + ] + }, + { + "cell_type": "markdown", + "id": "bb3333e3-3b32-4837-8715-15274c2e82f9", + "metadata": {}, + "source": [ + "We didn't apply any scaling in the simulation, so this should be a 0.2794 Hz filter:" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "8623c83a-fb61-4575-833e-c0ae9a85691f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "t, u, y = e.time(), e['f.u'], e['f.y3']\n", + "\n", + "fig = plt.figure(figsize=(15, 4))\n", + "ax = fig.add_subplot()\n", + "ax.plot(t, u, label='Noisy (0.2 Hz + 5Hz)')\n", + "ax.plot(t, y, label='Simulated')\n", + "ax.plot(*low_pass(t, u, f=0.2794, n=3), 'k:', label='Filtered 0.2794 Hz, n=3')\n", + "ax.legend(framealpha=1)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "ec548f34-0cb0-467f-9805-44908f99c494", + "metadata": {}, + "source": [ + "Note that we obtained the pole information in the \"natural\" setting by calling `bessel` with `Wn=1, norm='delay'`.\n", + "Here `Wn` is interpreted as a parameter related to \"group delay\" and the canonical results are obtained for `Wn=1`.\n", + "But we filtered using `Wn=w, norm='mag'`.\n", + "Here `Wn` is interpreted as the cut-off frequency.\n", + "Alternatively, we could have used the \"natural\" call again, to obtain an unscalable filter:" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "e3b8893b-1196-48c8-9814-36a1a9a263bd", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def low_pass_natural(time, data, n=3):\n", + " \"\"\" Emulate an analog Bessel low-pass filter with its natural cut-off point. \"\"\"\n", + " b, a = scipy.signal.bessel(n, 1, analog=True, norm='delay')\n", + " t, y, _ = scipy.signal.lsim((b, a), data, time)\n", + " return t, y\n", + "\n", + "fig = plt.figure(figsize=(15, 4))\n", + "ax = fig.add_subplot()\n", + "ax.plot(t, u, label='Noisy (0.2 Hz + 5Hz)')\n", + "ax.plot(t, y, label='Simulated')\n", + "ax.plot(*low_pass_natural(t, u, n=3), 'k:', label='SciPy, natural cut-off')\n", + "ax.legend(framealpha=1)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "b7141a07-01fa-4cb4-9d23-e661624336a7", + "metadata": {}, + "source": [ + "### Fourth-order Bessel, and general Bessel filters with an even number of poles\n", + "\n", + "Based on the idea of decomposing higher order filters, we can now write down the equations for a 4 pole filter, along with the more general equations for Bessel low-pass filters with an even number of poles.\n", + "\n", + "\\begin{align}\n", + "H_4(s) &= \\frac{105}{s^4 + 10s^3 + 45s^2 + 105s + 105} \\\\\n", + " &= \\prod_i^2 \\frac{\\sigma_i^2 + \\omega_i^2}{s^2 + 2 \\sigma_i s + \\sigma_i^2 + \\omega_i^2}\n", + "\\end{align}\n", + "Giving a cascade of two filters:\n", + "\\begin{align}\n", + "\\ddot{y_i}(t) = (\\sigma_i^2 + \\omega_i^2)(u(t) - y(t)) - 2\\sigma_i\\dot{y}(t),\\quad y_i(0)=0, \\quad \\dot{y_i}(0)=0\n", + "\\end{align}\n", + "Where $-\\sigma_i \\pm \\omega_i$ are the 2 conjugate pole pairs.\n", + "\n", + "More generally for any even number of poles $n = 2m$\n", + "\\begin{align}\n", + "H_{2m}(s) &= \\prod_i^m \\frac{\\sigma_i^2 + \\omega_i^2}{s^2 + 2 \\sigma_i s + \\sigma_i^2 + \\omega_i^2} \\\\\n", + "\\end{align}" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "7a8dd05e-bd98-42b5-a90e-903cd51a2277", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2 sigma_1 = 4.2076\n", + "(sigma_1^2 + omega_1^2) = 11.488\n", + "2 sigma_2 = 5.7924\n", + "(sigma_2^2 + omega_2^2) = 9.1401\n", + "None\n" + ] + } + ], + "source": [ + "def even_poles(n):\n", + " _, p, _ = scipy.signal.bessel(n, 1, output='zpk', analog=True, norm='delay')\n", + " for k, p in enumerate(p[:n // 2]):\n", + " s, w = -p.real, p.imag\n", + " print(f'2 sigma_{1 + k} = {2 * s:.5}')\n", + " print(f'(sigma_{1 + k}^2 + omega_{1 + k}^2) = {s**2 + w**2:.5}')\n", + "\n", + "print(even_poles(4))" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "03983e75-bdd8-4a22-b5e1-c706d778f7e8", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "m = myokit.parse_model(\"\"\"\n", + "[[model]]\n", + "f.y1 = 0\n", + "f.y2 = 0\n", + "f.y3 = 0\n", + "f.y4 = 0\n", + "\n", + "[f]\n", + "t = 0 bind time\n", + "u = sin(2 * 3.14159 * t / 5) + sin(2 * 3.14159 * t * 5)\n", + "dot(y1) = 11.488 * (u - y2) - 4.2076 * y1\n", + "dot(y2) = y1\n", + "dot(y3) = 9.1401 * (y2 - y4) - 5.7924 * y3\n", + "dot(y4) = y3\n", + " desc: The 4-pole filtered output\n", + "\"\"\")\n", + "s = myokit.Simulation(m)\n", + "e = s.run(10, log_interval=0.001)\n", + "\n", + "fig = plt.figure(figsize=(15, 4))\n", + "ax = fig.add_subplot()\n", + "ax.set_xlabel('Time')\n", + "ax.plot(e.time(), e['f.u'], label='u')\n", + "ax.plot(e.time(), e['f.y2'], label='y2')\n", + "ax.plot(e.time(), e['f.y4'], label='y4')\n", + "ax.legend(loc='right')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "a873983a-f549-4969-aea2-9993da7c765e", + "metadata": {}, + "source": [ + "Before working out the natural frequency and scaling, we'll just compare with the natural version returned by SciPy:" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "d5289c70-30f7-4a30-af4f-c1ed0359139e", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "t, u, y = e.time(), e['f.u'], e['f.y4']\n", + "\n", + "fig = plt.figure(figsize=(15, 4))\n", + "ax = fig.add_subplot()\n", + "ax.plot(t, u, label='Noisy (0.2 Hz + 5Hz)')\n", + "ax.plot(t, y, label='Simulated, n=4')\n", + "ax.plot(*low_pass_natural(t, u, n=4), 'k:', label='SciPy, n=4')\n", + "ax.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "2f1845d7-191e-4bf1-a73c-56254267d0f6", + "metadata": {}, + "source": [ + "Looks exactly right." + ] + }, + { + "cell_type": "markdown", + "id": "f7bd8a04-1b26-4c78-888a-a968bc432eda", + "metadata": {}, + "source": [ + "#### Scalable filter with even number of poles\n", + "\n", + "Finally, we'll work out how to make this 4-pole filter scalable, and write the results in a way that extends to any even-numbered order low-pass Bessel filter.\n", + "\n", + "To do this, we add a scaling factor $\\alpha$ to every $s$\n", + "\\begin{align}\n", + "H_{2m}(s) &= \\prod_i^m \\frac{\\sigma_i^2 + \\omega_i^2}{(\\alpha s)^2 + 2 \\sigma_i (\\alpha s) + \\sigma_i^2 + \\omega_i^2} \\\\\n", + "\\end{align}\n", + "to find\n", + "\\begin{align}\n", + "\\ddot{y_i}(t) = \\frac{\\sigma_i^2 + \\omega_i^2}{\\alpha^2}(u(t) - y(t)) - \\frac{2\\sigma_i}{\\alpha}\\dot{y}(t)\n", + "\\end{align}\n", + "where\n", + "\\begin{align}\n", + "\\alpha = \\frac{\\omega_0}{2 \\pi f}\n", + "\\end{align}\n", + "where $\\omega_0$ is the unscaled cut-off frequency in rad/sec and where $f$ is the desired cut-off frequency in Hz." + ] + }, + { + "cell_type": "markdown", + "id": "64309f7d-b9d8-4ba3-b39d-14146a831ea2", + "metadata": {}, + "source": [ + "We can find $\\omega_0$ using SciPy and fmin:" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "a78c6470-0896-41ba-8117-c4aac389ce95", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2.114 rad/sec\n" + ] + } + ], + "source": [ + "print(f'{bessel_natural_cutoff(4):.5} rad/sec')" + ] + }, + { + "cell_type": "markdown", + "id": "c4cd77a7-153d-4130-84a9-c4c881418c86", + "metadata": {}, + "source": [ + "Let's try it in a model:" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "076c4a3f-1155-4062-bcf1-1f00e9b37a01", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "m = myokit.parse_model(\"\"\"\n", + "[[model]]\n", + "f.y1 = 0\n", + "f.y2 = 0\n", + "f.y3 = 0\n", + "f.y4 = 0\n", + "\n", + "[f]\n", + "t = 0 bind time\n", + "pi = 3.14159\n", + "u = sin(2 * pi * 5 * t) + sin(2 * pi * 50 * t)\n", + "f = 10 [Hz]\n", + "alpha = 2.114 / (2 * pi * f)\n", + "dot(y1) = 11.488 / alpha^2 * (u - y2) - 4.2076 / alpha * y1\n", + "dot(y2) = y1\n", + "dot(y3) = 9.1401 / alpha^2 * (y2 - y4) - 5.7924 / alpha * y3\n", + "dot(y4) = y3\n", + " desc: The 4-pole filtered output\n", + "\"\"\")\n", + "s = myokit.Simulation(m)\n", + "e = s.run(1, log_interval=0.001)\n", + "\n", + "t, u, y = e.time(), e['f.u'], e['f.y4']\n", + "\n", + "fig = plt.figure(figsize=(15, 4))\n", + "ax = fig.add_subplot()\n", + "ax.plot(t, u, label='Noisy (5 Hz + 50Hz)')\n", + "ax.plot(t, y, label='Simulated, n=4, f=10Hz')\n", + "ax.plot(*low_pass(t, u, 10, n=4), 'k:', label='SciPy, n=4, f=10Hz')\n", + "ax.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "a86a8334-e3c4-4912-b236-fd62086093f3", + "metadata": {}, + "source": [ + "Looks great!" + ] + }, + { + "cell_type": "markdown", + "id": "957681ff-0882-4141-8457-89e0d0b76dff", + "metadata": {}, + "source": [ + "### Six pole Bessel filters\n", + "\n", + "Applying the same methods for a six pole filter we obtain:" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "6eb455f1-3ba2-43e9-8abb-a1c4d9f36a20", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2 sigma_1 = 5.0319\n", + "(sigma_1^2 + omega_1^2) = 26.514\n", + "2 sigma_2 = 7.4714\n", + "(sigma_2^2 + omega_2^2) = 20.853\n", + "2 sigma_3 = 8.4967\n", + "(sigma_3^2 + omega_3^2) = 18.801\n", + "None\n" + ] + } + ], + "source": [ + "print(even_poles(6))" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "9b76c99b-cb1f-420e-8580-d074b1f8c205", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2.7034 rad/sec\n" + ] + } + ], + "source": [ + "print(f'{bessel_natural_cutoff(6):.5} rad/sec')" + ] + }, + { + "cell_type": "markdown", + "id": "55d89ad9-b1b5-45c6-b4f4-d79f47241f5f", + "metadata": {}, + "source": [ + "We can find $\\omega_0$ using SciPy and fmin:" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "48686b58-6027-4937-ba4d-e5afe94c7f08", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "m = myokit.parse_model(\"\"\"\n", + "[[model]]\n", + "f.y1 = 0\n", + "f.y2 = 0\n", + "f.y3 = 0\n", + "f.y4 = 0\n", + "f.y5 = 0\n", + "f.y6 = 0\n", + "\n", + "[f]\n", + "t = 0 bind time\n", + "pi = 3.14159\n", + "u = sin(2 * pi * 5 * t) + sin(2 * pi * 50 * t)\n", + "f = 10 [Hz]\n", + "alpha = 2.7034 / (2 * pi * f)\n", + "dot(y1) = 26.514 / alpha^2 * (u - y2) - 5.0319 / alpha * y1\n", + "dot(y2) = y1\n", + "dot(y3) = 20.853 / alpha^2 * (y2 - y4) - 7.4714 / alpha * y3\n", + "dot(y4) = y3\n", + "dot(y5) = 18.801 / alpha^2 * (y4 - y6) - 8.4967 / alpha * y5\n", + "dot(y6) = y5\n", + " desc: The 6-pole filtered output\n", + "\"\"\")\n", + "s = myokit.Simulation(m)\n", + "e = s.run(1, log_interval=0.001)\n", + "t, u, y = e.time(), e['f.u'], e['f.y6']\n", + "\n", + "fig = plt.figure(figsize=(15, 4))\n", + "ax = fig.add_subplot()\n", + "ax.plot(t, u, label='Noisy (5 Hz + 50Hz)')\n", + "ax.plot(t, y, label='Simulated, n=6, f=10Hz')\n", + "ax.plot(*low_pass(t, u, 10, n=6), 'k:', label='SciPy, n=6, f=10Hz')\n", + "ax.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "d841d052-5734-456e-848f-4b27dc24f95a", + "metadata": {}, + "source": [ + "It works!" + ] + }, + { + "cell_type": "markdown", + "id": "3a2985af-e49c-4187-a2e4-76aaf5c1ef3b", + "metadata": {}, + "source": [ + "## First-order approximations\n", + "\n", + "Finally, we compare a 6-pole filter with a 1-pole approximation." + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "a6ed5de2-aec1-4f3c-bee9-0f457c3b5936", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "m = myokit.parse_model(\"\"\"\n", + "[[model]]\n", + "f.y1 = 0\n", + "f.y2 = 0\n", + "f.y3 = 0\n", + "f.y4 = 0\n", + "f.y5 = 0\n", + "f.y6 = 0\n", + "f.z1 = 0\n", + "\n", + "[f]\n", + "t = 0 bind time\n", + "p = 0 bind pace\n", + "pi = 3.14159\n", + "u = sin(2 * pi * 5 * t) + sin(2 * pi * 50 * t)\n", + "f = 10 [Hz]\n", + "a1 = 1 / (2 * pi * f)\n", + "a6 = 2.7034 / (2 * pi * f)\n", + "dot(y1) = 26.514 / a6^2 * (u - y2) - 5.0319 / a6 * y1\n", + "dot(y2) = y1\n", + "dot(y3) = 20.853 / a6^2 * (y2 - y4) - 7.4714 / a6 * y3\n", + "dot(y4) = y3\n", + "dot(y5) = 18.801 / a6^2 * (y4 - y6) - 8.4967 / a6 * y5\n", + "dot(y6) = y5\n", + " desc: The 6-pole filtered output\n", + "dot(z1) = (u - z1) / a1\n", + " desc: The 1-pole filtered output\n", + "\"\"\")\n", + "s = myokit.Simulation(m)\n", + "e = s.run(1, log_interval=0.001)\n", + "t, u, y, z = e.time(), e['f.u'], e['f.y6'], e['f.z1']\n", + "\n", + "fig = plt.figure(figsize=(15, 4))\n", + "ax = fig.add_subplot()\n", + "ax.set_xlabel('Time (s)')\n", + "ax.plot(t, u, label='Noisy (5 Hz + 50Hz)')\n", + "ax.plot(t, y, label='Simulated, n=6, f=10Hz')\n", + "ax.plot(t, z, label='Simulated, n=1, f=10Hz')\n", + "ax.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "baef0f1a-9a84-402f-b2de-8abfa7734a83", + "metadata": {}, + "source": [ + "The 1-pole filter doesn't filter out the high frequencies as well, but has considerably less lag.\n", + "_However_, for patch-clamping we're much more interested in the step response:" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "8f130c8b-3a8e-4b96-aa9f-556e93540de9", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Update the model to use pacing\n", + "# We also re-interpret time as being in ms, making the frequency 10 kHz\n", + "m.get('f.u').set_rhs('p')\n", + "p = myokit.Protocol()\n", + "p.add_step(level=-50, duration=1)\n", + "p.add_step(level=50, duration=1)\n", + "s = myokit.Simulation(m, p)\n", + "s.pre(1)\n", + "e = s.run(2)\n", + "t, u, y, z = e.time(), e['f.u'], e['f.y6'], e['f.z1']\n", + "\n", + "fig = plt.figure(figsize=(15, 4))\n", + "ax = fig.add_subplot()\n", + "ax.set_xlabel('Time (ms)')\n", + "ax.axhline(-50, color='#ccc', ls='--')\n", + "ax.axhline(+50, color='#ccc', ls='--')\n", + "ax.plot(t, y, label='Filtered, n=6, f=10kHZ')\n", + "ax.plot(t, z, label='Simulated, n=1, f=10kHz')\n", + "ax.set_xlim(0.99, 1.13)\n", + "ax.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "08710c2e-dbc4-4afb-af94-ee03042abecb", + "metadata": {}, + "source": [ + "Here we can see the much faster response of the 1-pole filter, and the much smoother response of the 6-pole.\n", + "The phase-shift in the 6-pole causes a notable delay in the jump.\n", + "\n", + "The effects are very shortlived though, so we're unlikely to notice this until we sample at a high rate and really zoom in.\n", + "At 10kHz, the filters seem unlikely to have a big effect on any currents." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.2" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/artefacts/appendix-B1-uncompensated-models.ipynb b/artefacts/appendix-B1-uncompensated-models.ipynb new file mode 100644 index 0000000..a5c88cf --- /dev/null +++ b/artefacts/appendix-B1-uncompensated-models.ipynb @@ -0,0 +1,1034 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "fc24dbb4", + "metadata": {}, + "source": [ + "# Appendix B1: Models without compensation\n", + "**Appendix B discusses and compares patch clamp model equations**" + ] + }, + { + "cell_type": "markdown", + "id": "aff7c8af", + "metadata": {}, + "source": [ + "Based on the discussion in [Appendix A3](./appendix-A3-non-ideal-op-amp.ipynb) we now look at models of uncompensated patch clamp, with voltage offset and leak current omitted for simplicity." + ] + }, + { + "cell_type": "markdown", + "id": "7d17c4f4", + "metadata": {}, + "source": [ + "" + ] + }, + { + "cell_type": "markdown", + "id": "5d0303e8", + "metadata": {}, + "source": [ + "We now write an equation for the voltage at every junction, starting bottom left:\n", + "\n", + "\\begin{align}\n", + "1. && C_m\\dot{V}_m = \\frac{V_p - V_m}{R_s} - I\n", + "\\end{align}\n", + "\n", + "where $I$ is the non-capacitative current through the cell membrane." + ] + }, + { + "cell_type": "markdown", + "id": "7f702770", + "metadata": {}, + "source": [ + "Next,\n", + "\n", + "\\begin{align}\n", + "C_p\\dot{V}_p = \\frac{V_o-V_p}{R_f} + C_f\\left(\\dot{V}_o-\\dot{V}_p\\right) - \\frac{V_p-V_m}{R_s}\n", + "\\end{align}\n", + "\n", + "which can be used as a differential equation for either $V_p$\n", + "\n", + "\\begin{align}\n", + "2a. && (C_p + C_f)\\dot{V}_p = \\frac{V_o-V_p}{R_f} + C_f\\dot{V}_o - \\frac{V_p-V_m}{R_s}\n", + "\\end{align}\n", + "or $V_o$\n", + "\\begin{align}\n", + "2b. && C_f\\dot{V}_o = \\frac{V_p-V_o}{R_f} + \\left(C_p+C_f\\right)\\dot{V}_p + \\frac{V_p-V_m}{R_s}\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "7ff20823", + "metadata": {}, + "source": [ + "Next, we have two options for an op-amp equation:\n", + "\n", + "\\begin{align}\n", + "3a. && \\tau_a\\dot{V}_o = V_c - V_p \\\\\n", + "3b. && \\tau_c\\dot{V}_p = V_c - V_p \\\\\n", + "\\end{align}\n", + "\n", + "where $V_c$ is the command voltage.\n", + "The value $\\tau_c$ is either a constant (80 nanoseconds) or $\\tau_c = \\tau_aC_t/C_f$." + ] + }, + { + "cell_type": "markdown", + "id": "db2a73ec", + "metadata": {}, + "source": [ + "And finally\n", + "\n", + "\\begin{align}\n", + "4a. && R_f I_\\text{obs} \\equiv V_\\text{out} = V_o - V_c\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "24d3bbca", + "metadata": {}, + "source": [ + "This gives us two models: **(1, 2a, 3a, 4)** and **(1, 2b, 3b, 4)**." + ] + }, + { + "cell_type": "markdown", + "id": "f7e3ea4c", + "metadata": {}, + "source": [ + "## Lei-style model\n", + "\n", + "The model used in Lei et al. (2020) also starts from\n", + "\n", + "\\begin{align}\n", + "1. && C_m\\dot{V}_m = \\frac{V_p - V_m}{R_s} - I && \\text{(Equation S2.10)}\n", + "\\end{align}\n", + "\n", + "and \n", + "\n", + "\\begin{align}\n", + "3b. && \\tau_c\\dot{V}_p = V_c - V_p && \\text{(Equation S2.12)}\n", + "\\end{align}\n", + "\n", + "but then adds the relationship \n", + "\\begin{align}\n", + "5. && R_fC_f \\dot{I}_\\text{obs} = I + C_m\\dot{V}_m + C_p\\dot{V}_p - I_\\text{obs} && \\text{(Equation S2.8, S2.5)}\n", + "\\end{align}\n", + "\n", + "resulting in a model (1, 3b, 5)." + ] + }, + { + "cell_type": "markdown", + "id": "c8ad8948", + "metadata": {}, + "source": [ + "Using equation 4a, we can rewrite this as an ODE for $V_o$:\n", + "\n", + "\\begin{align}\n", + "C_f(\\dot{V}_o - \\dot{V}_c) &= I + C_m\\dot{V}_m + C_p\\dot{V}_p - \\frac{V_o - V_c}{R_f} \\\\\n", + " &= \\frac{V_p - V_m}{R_s} + C_p\\dot{V}_p - \\frac{V_o - V_c}{R_f} \\\\\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "2c. && C_f\\dot{V}_o = \\frac{V_c - V_o}{R_f} + C_p\\dot{V}_p + C_f\\dot{V}_c + \\frac{V_p - V_m}{R_s}\n", + "\\end{align}\n", + "\n", + "for an equivalent formulation (1, 2c, 3b, 4a).\n", + "\n", + "Comparing to\n", + "\\begin{align}\n", + "2b. && C_f\\dot{V}_o = \\frac{V_p-V_o}{R_f} + \\left(C_p+C_f\\right)\\dot{V}_p + \\frac{V_p-V_m}{R_s}\n", + "\\end{align}\n", + "\n", + "we see that the two are equal when $V_c = V_p$ and $\\dot{V}_c = \\dot{V}_p$ (so if we have a perfect op-amp, but some other filtering on the output)." + ] + }, + { + "cell_type": "markdown", + "id": "b0b8ecb8", + "metadata": {}, + "source": [ + "### Alternative formulation\n", + "\n", + "Alternatively, we can define\n", + "\n", + "\\begin{align}\n", + "4b. && R_f I_\\text{obs} = V_o - V_p\n", + "\\end{align}\n", + "\n", + "with which we can derive 2b. from equations S2.8, S2.5, and S2.10:\n", + "\n", + "\\begin{align}\n", + "R_f C_f \\dot{I}_\\text{obs} &= I_\\text{in} - I_\\text{obs} \\\\\n", + " &= I + C_m \\dot{V}_m + C_p \\dot{V}_p - I_\\text{obs} \\\\\n", + " &= \\frac{V_p - V_m}{R_s} + C_p \\dot{V}_p - I_\\text{obs} \\\\\n", + "C_f (\\dot{V}_o - \\dot{V}_p) &= \\frac{V_p - V_m}{R_s} + C_p \\dot{V}_p - \\frac{V_o - V_p}{R_f} \\\\\n", + "C_f \\dot{V}_o &= \\frac{V_p - V_m}{R_s} + \\frac{V_p - V_o}{R_f} + (C_p + C_f) \\dot{V}_p\n", + "\\end{align}\n", + "\n", + "so that we can write the same model as **(1, 2b, 3b, 4b)**." + ] + }, + { + "cell_type": "markdown", + "id": "2154fb47", + "metadata": {}, + "source": [ + "## Three models\n", + "\n", + "Summarising:\n", + "\n", + "\\begin{align}\n", + "1. && C_m\\dot{V}_m = \\frac{V_p - V_m}{R_s} - I\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "2a. && (C_p + C_f)\\dot{V}_p &= \\frac{V_o-V_p}{R_f} + \\frac{V_m-V_p}{R_s} + C_f\\dot{V}_o \\\\\n", + "2b. && C_f\\dot{V}_o &= \\frac{V_p-V_o}{R_f} + \\frac{V_p-V_m}{R_s} + \\left(C_p+C_f\\right)\\dot{V}_p\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "3a. && \\tau_a\\dot{V}_o = V_c - V_p \\\\\n", + "3b. && \\tau_c\\dot{V}_p = V_c - V_p \\\\\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "4a. && R_f I_\\text{obs} = V_o - V_c \\\\\n", + "4b. && R_f I_\\text{obs} = V_o - V_p\n", + "\\end{align}\n", + "\n", + "From the above, we can distill three models:\n", + "\n", + "- **Model A** - A \"Sigworth-style\" model **(1, 2a, 3a, 4a)**.\n", + "- **Model B** - A hybrid model **(1, 2b, 3b, 4a)**\n", + "- **Model C** - A \"Lei-style\" model **(1, 2b, 3b, 4b)**" + ] + }, + { + "cell_type": "markdown", + "id": "6fdd1973", + "metadata": {}, + "source": [ + "## Simulations\n", + "\n", + "We now run simulations for a single step from 0 to 10 mV, using the parameter values given in [appendix C2](./appendix-C2-parameter-defaults.ipynb)." + ] + }, + { + "cell_type": "markdown", + "id": "c459d6e5", + "metadata": {}, + "source": [ + "### Model A (1, 2a, 3a, 4a)" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "a9d15cd3", + "metadata": {}, + "outputs": [], + "source": [ + "import myokit\n", + "\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "2ac99d20", + "metadata": {}, + "outputs": [], + "source": [ + "mA = myokit.parse_model('''\n", + "[[model]]\n", + "amp.Vm = -80 [mV]\n", + "amp.Vp = -80 [mV]\n", + "amp.Vo = -80 [mV]\n", + "\n", + "[engine]\n", + "time = 0 [ms] in [ms] bind time\n", + "pace = 0 bind pace\n", + "\n", + "[amp]\n", + "Rs = 15e-3 [GOhm] in [GOhm]\n", + "Cm = 25 [pF] in [pF]\n", + "Cp = 5 [pF] in [pF]\n", + "Rf = 0.5 [GOhm] in [GOhm]\n", + "Cf = 0.15 [pF] in [pF]\n", + "tau_amp = 20e-6 [ms] in [ms]\n", + "I = 5 [nS] * Vm\n", + " in [pA]\n", + "Vc = engine.pace * 1 [mV]\n", + " in [mV]\n", + "dot(Vm) = (Vp - Vm) / (Rs * Cm) - I / Cm : Equation 1\n", + " in [mV]\n", + "dot(Vp) = ((Vo - Vp) / Rf + Cf * dot(Vo) - (Vp - Vm) / Rs) / (Cf + Cp) : Equation 2a\n", + " in [mV]\n", + "dot(Vo) = (Vc - Vp) / tau_amp : Equation 3a\n", + " in [mV]\n", + "I_obs = (Vo - Vc) / Rf : Equation 4a\n", + " in [pA]\n", + "''')\n", + "mA.check_units(myokit.UNIT_STRICT)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "cc2bcc06", + "metadata": {}, + "outputs": [], + "source": [ + "vlo, vhi = -80, 20\n", + "p = myokit.Protocol()\n", + "p.add_step(level=vlo, duration=5)\n", + "p.add_step(level=vhi, duration=10)\n", + "p.add_step(level=vlo, duration=10)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "b421a959", + "metadata": {}, + "outputs": [], + "source": [ + "tol = 1e-8\n", + "dt = 5e-5\n", + "\n", + "sA = myokit.Simulation(mA, p)\n", + "sA.set_tolerance(tol, tol)\n", + "sA.pre(5)\n", + "dA = sA.run(20, log_interval=dt).npview()" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "7d193dda", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "kw = dict(color='#aaa', ls='--')\n", + "\n", + "fig = plt.figure(figsize=(15, 4))\n", + "fig.subplots_adjust(wspace=0.3)\n", + "\n", + "ax = fig.add_subplot(1, 3, 1)\n", + "ax.set_ylabel('Vm (mV)')\n", + "ax.axhline(vlo, **kw)\n", + "ax.axhline(vhi, **kw)\n", + "ax.plot(dA.time(), dA['amp.Vm'])\n", + "\n", + "ax = fig.add_subplot(1, 3, 2)\n", + "ax.set_ylabel('Vp (mV)')\n", + "ax.plot(dA.time(), dA['amp.Vp'])\n", + "ax = ax.inset_axes((0.4, 0.15, 0.25, 0.7))\n", + "ax.plot(dA.time(), dA['amp.Vp'])\n", + "ax.set_xlim(4.998, 5.01)\n", + "\n", + "ax = fig.add_subplot(1, 3, 3)\n", + "ax.set_ylabel('I obs (pA)')\n", + "ax.plot(dA.time(), dA['amp.I_obs'])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "58c4e632", + "metadata": {}, + "source": [ + "### Model B (1, 2b, 3b, 4a)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "16b95491", + "metadata": {}, + "outputs": [], + "source": [ + "mB = myokit.parse_model('''\n", + "[[model]]\n", + "amp.Vm = -80 [mV]\n", + "amp.Vp = -80 [mV]\n", + "amp.Vo = -80 [mV]\n", + "\n", + "[engine]\n", + "time = 0 [ms] in [ms] bind time\n", + "pace = 0 bind pace\n", + "\n", + "[amp]\n", + "Rs = 15e-3 [GOhm] in [GOhm]\n", + "Cm = 25 [pF] in [pF]\n", + "Cp = 5 [pF] in [pF]\n", + "Rf = 0.5 [GOhm] in [GOhm]\n", + "Cf = 0.15 [pF] in [pF]\n", + "tau_amp = 20e-6 [ms] in [ms]\n", + "tau_c = tau_amp * (Cf + Cp) / Cf\n", + " in [ms]\n", + "I = 5 [nS] * Vm\n", + " in [pA]\n", + "Vc = engine.pace * 1 [mV]\n", + " in [mV]\n", + "dot(Vm) = (Vp - Vm) / (Rs * Cm) - I / Cm : Equation 1\n", + " in [mV]\n", + "dot(Vo) = (Vp - Vo) / (Rf * Cf) + (Cp + Cf) / Cf * dot(Vp) + (Vp - Vm) / (Rs * Cf) : Equation 2b\n", + " in [mV]\n", + "dot(Vp) = (Vc - Vp) / tau_c : Equation 3b\n", + " in [mV]\n", + "I_obs = (Vo - Vc) / Rf : Equation 4a\n", + " in [pA]\n", + "''')\n", + "mB.check_units(myokit.UNIT_STRICT)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "02fb78e4", + "metadata": {}, + "outputs": [], + "source": [ + "sB = myokit.Simulation(mB, p)\n", + "sB.set_tolerance(tol, tol)\n", + "sB.pre(5)\n", + "dB = sB.run(20, log_interval=dt).npview()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "1745173b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(15, 4))\n", + "fig.subplots_adjust(wspace=0.3)\n", + "\n", + "ax = fig.add_subplot(1, 3, 1)\n", + "ax.set_ylabel('Vm (mV)')\n", + "ax.axhline(vlo, **kw)\n", + "ax.axhline(vhi, **kw)\n", + "ax.plot(dA.time(), dA['amp.Vm'], label='Model A')\n", + "ax.plot(dB.time(), dB['amp.Vm'], label='Model B')\n", + "ax.legend()\n", + "\n", + "ax = fig.add_subplot(1, 3, 2)\n", + "ax.set_ylabel('Vp (mV)')\n", + "ax.plot(dA.time(), dA['amp.Vp'], label='Model A')\n", + "ax.plot(dB.time(), dB['amp.Vp'], label='Model B')\n", + "ax = ax.inset_axes((0.4, 0.15, 0.25, 0.7))\n", + "ax.plot(dA.time(), dA['amp.Vp'], label='Model A')\n", + "ax.plot(dB.time(), dB['amp.Vp'], label='Model B')\n", + "ax.set_xlim(4.998, 5.005)\n", + "\n", + "ax = fig.add_subplot(1, 3, 3)\n", + "ax.set_ylabel('I obs (pA)')\n", + "ax.plot(dA.time(), dA['amp.I_obs'], label='Model A')\n", + "ax.plot(dB.time(), dB['amp.I_obs'], label='Model B')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "1f76e9e9", + "metadata": {}, + "source": [ + "Both models make very similar predictions, but we can subtract the two models to see the difference:" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "a04d57cd", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(15, 4))\n", + "fig.subplots_adjust(wspace=0.3)\n", + "ax = fig.add_subplot(1, 3, 1)\n", + "ax.set_ylabel('Vm (mV)')\n", + "ax.plot(dA.time(), dA['amp.Vm'] - dB['amp.Vm'], label='A - B')\n", + "ax.legend()\n", + "ax = fig.add_subplot(1, 3, 2)\n", + "ax.set_ylabel('Vp (mV)')\n", + "ax.plot(dA.time(), dA['amp.Vp'] - dB['amp.Vp'], label='A - B')\n", + "ax = fig.add_subplot(1, 3, 3)\n", + "ax.set_ylabel('I obs (pA)')\n", + "ax.plot(dA.time(), dA['amp.I_obs'] - dB['amp.I_obs'], label='A - B')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "ad12b0fd", + "metadata": {}, + "source": [ + "Although small, the smoothness of these curves and their magnitude is indicative of a true physical difference between the two." + ] + }, + { + "cell_type": "markdown", + "id": "45a1d294", + "metadata": {}, + "source": [ + "### Model C (1, 2b, 3b, 4b)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "1ec11fa6", + "metadata": {}, + "outputs": [], + "source": [ + "mC = myokit.parse_model('''\n", + "[[model]]\n", + "amp.Vm = -80 [mV]\n", + "amp.Vp = -80 [mV]\n", + "amp.Vo = -80 [mV]\n", + "\n", + "[engine]\n", + "time = 0 [ms] in [ms] bind time\n", + "pace = 0 bind pace\n", + "\n", + "[amp]\n", + "Rs = 15e-3 [GOhm] in [GOhm]\n", + "Cm = 25 [pF] in [pF]\n", + "Cp = 5 [pF] in [pF]\n", + "Rf = 0.5 [GOhm] in [GOhm]\n", + "Cf = 0.15 [pF] in [pF]\n", + "tau_amp = 20e-6 [ms] in [ms]\n", + "tau_c = tau_amp * (Cf + Cp) / Cf\n", + " in [ms]\n", + "I = 5 [nS] * Vm\n", + " in [pA]\n", + "Vc = engine.pace * 1 [mV]\n", + " in [mV]\n", + "dot(Vm) = (Vp - Vm) / (Rs * Cm) - I / Cm : Equation 1\n", + " in [mV]\n", + "dot(Vo) = (Vp - Vo) / (Rf * Cf) + (Cp + Cf) / Cf * dot(Vp) + (Vp - Vm) / (Rs * Cf) : Equation 2b\n", + " in [mV]\n", + "dot(Vp) = (Vc - Vp) / tau_c : Equation 3b\n", + " in [mV]\n", + "I_obs = (Vo - Vp) / Rf : Equation 4b\n", + " in [pA]\n", + "\n", + "''')\n", + "mC.check_units(myokit.UNIT_STRICT)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "9743a5c9", + "metadata": {}, + "outputs": [], + "source": [ + "sC = myokit.Simulation(mC, p)\n", + "sC.set_tolerance(tol, tol)\n", + "sC.pre(5)\n", + "dC = sC.run(20, log_interval=dt).npview()" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "c705e87b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(15, 4))\n", + "fig.subplots_adjust(wspace=0.3)\n", + "\n", + "ax = fig.add_subplot(1, 3, 1)\n", + "ax.set_ylabel('Vm (mV)')\n", + "ax.axhline(vlo, **kw)\n", + "ax.axhline(vhi, **kw)\n", + "ax.plot(dA.time(), dA['amp.Vm'], label='Model A')\n", + "ax.plot(dB.time(), dB['amp.Vm'], label='Model B')\n", + "ax.plot(dC.time(), dC['amp.Vm'], label='Model C')\n", + "ax.legend()\n", + "\n", + "ax = fig.add_subplot(1, 3, 2)\n", + "ax.set_ylabel('Vp (mV)')\n", + "ax.plot(dA.time(), dA['amp.Vp'], label='Model A')\n", + "ax.plot(dB.time(), dB['amp.Vp'], label='Model B')\n", + "ax.plot(dC.time(), dC['amp.Vp'], '--', label='Model C')\n", + "ax = ax.inset_axes((0.4, 0.15, 0.25, 0.7))\n", + "ax.plot(dA.time(), dA['amp.Vp'], label='Model A')\n", + "ax.plot(dB.time(), dB['amp.Vp'], label='Model B')\n", + "ax.plot(dC.time(), dC['amp.Vp'], '--', label='Model C')\n", + "ax.set_xlim(4.998, 5.01)\n", + "\n", + "ax = fig.add_subplot(1, 3, 3)\n", + "ax.set_ylabel('I obs (pA)')\n", + "ax.plot(dA.time(), dA['amp.I_obs'], label='Model A')\n", + "ax.plot(dB.time(), dB['amp.I_obs'], label='Model B')\n", + "ax.plot(dC.time(), dC['amp.I_obs'], '--', label='Model C')\n", + "ax = ax.inset_axes((0.2, 0.10, 0.45, 0.35))\n", + "ax.plot(dA.time(), dA['amp.I_obs'], label='Model A')\n", + "ax.plot(dB.time(), dB['amp.I_obs'], label='Model B')\n", + "ax.plot(dC.time(), dC['amp.I_obs'], '--', label='Model C')\n", + "ax.set_xlim(4.999, 5.005)\n", + "ax.set_ylim(-1000, 500)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "70188a91", + "metadata": {}, + "source": [ + "Again, the models look very similar.\n", + "\n", + "At the transitions, we see a slight difference between models A and B and model C:\n", + "In A and B, $V_c$ appears in the equation for $I_\\text{obs}$, and so the output changes instantaneously when $V_c$ does.\n", + "In C we observe $V_o - V_p$, both of which change smoothly." + ] + }, + { + "cell_type": "markdown", + "id": "3c33ed65", + "metadata": {}, + "source": [ + "### Model C: (1, 3b, 5)\n", + "\n", + "Just to check our maths, we can implement a model C using the Lei et al. formulation of (1, 3b, 5)." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "618d13d0", + "metadata": {}, + "outputs": [], + "source": [ + "mD = myokit.parse_model('''\n", + "[[model]]\n", + "amp.Vm = -80 [mV]\n", + "amp.Vp = -80 [mV]\n", + "amp.I_obs = 0 [pA]\n", + "\n", + "[engine]\n", + "time = 0 [ms] in [ms] bind time\n", + "pace = 0 bind pace\n", + "\n", + "[amp]\n", + "Rs = 15e-3 [GOhm] in [GOhm]\n", + "Cm = 25 [pF] in [pF]\n", + "Cp = 5 [pF] in [pF]\n", + "Rf = 0.5 [GOhm] in [GOhm]\n", + "Cf = 0.15 [pF] in [pF]\n", + "tau_amp = 20e-6 [ms] in [ms]\n", + "tau_c = tau_amp * (Cf + Cp) / Cf\n", + " in [ms]\n", + "I = 5 [nS] * Vm\n", + " in [pA]\n", + "Vc = engine.pace * 1 [mV]\n", + " in [mV]\n", + "dot(Vm) = (Vp - Vm) / (Rs * Cm) - I / Cm : Equation 1 (S2.10)\n", + " in [mV]\n", + "dot(Vp) = (Vc - Vp) / tau_c : Equation 3b (S2.12)\n", + " in [mV]\n", + "dot(I_obs) = (I + Cm * dot(Vm) + Cp * dot(Vp) - I_obs) / (Rf * Cf) : Equation 5 (S2.5 and S2.8)\n", + " in [pA]\n", + "''')\n", + "mD.check_units(myokit.UNIT_STRICT)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "d6729c21", + "metadata": {}, + "outputs": [], + "source": [ + "sD = myokit.Simulation(mD, p)\n", + "sD.set_tolerance(tol, tol)\n", + "sD.pre(5)\n", + "dD = sD.run(20, log_interval=dt).npview()" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "d0c536f7", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(15, 4))\n", + "fig.subplots_adjust(wspace=0.4)\n", + "ax = fig.add_subplot(1, 3, 1)\n", + "ax.set_ylabel('Vm (mV)')\n", + "ax.plot(dC.time(), dC['amp.Vm'] - dD['amp.Vm'], 'k', label='Model C - Model D')\n", + "ax.legend()\n", + "ax = fig.add_subplot(1, 3, 2)\n", + "ax.set_ylabel('Vp (mV)')\n", + "ax.plot(dC.time(), dC['amp.Vp'] - dD['amp.Vp'], 'k')\n", + "ax = ax.inset_axes((0.40, 0.11, 0.5, 0.4))\n", + "ax.plot(dC.time(), dC['amp.Vp'] - dD['amp.Vp'], 'k')\n", + "ax.set_xlim(4.994, 5.05)\n", + "ax = fig.add_subplot(1, 3, 3)\n", + "ax.set_ylabel('I obs (pA)')\n", + "ax.plot(dA.time(), dC['amp.I_obs'] - dD['amp.I_obs'], 'k')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "2065123f", + "metadata": {}, + "source": [ + "A very small error is observed, which fluctuates rapidly.\n", + "This suggests the models are the same and the error is due to small differences in the solver's chosen step sizes.\n", + "\n", + "(Adaptive step size algorithms may be a reason to prefer formulation D over C, as they place the output $I_text{obs}$ under the solver's control, instead of calculating it as a function of two error-controlled variables.)" + ] + }, + { + "cell_type": "markdown", + "id": "86d3be68", + "metadata": {}, + "source": [ + "### Cross-comparison\n", + "\n", + "We can get a closer look at the differences by plotting them explicitly.\n", + "For $V_p$ and $I_\\text{out}$ we'll zoom in on the first few $\\mu$s." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "584780c1", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "xlim = -0.005, 0.05\n", + "\n", + "fig = plt.figure(figsize=(15, 12))\n", + "fig.subplots_adjust(wspace=0.3)\n", + "\n", + "ax11 = fig.add_subplot(3, 3, 1)\n", + "ax11.plot(dA.time(), dA['amp.Vm'] - dB['amp.Vm'], label='Model A - Model B')\n", + "ax21 = fig.add_subplot(3, 3, 4); ax.set_ylabel('Vm (mV)')\n", + "ax21.plot(dA.time(), dA['amp.Vm'] - dC['amp.Vm'], label='Model A - Model C')\n", + "ax31 = fig.add_subplot(3, 3, 7); ax.set_ylabel('Vm (mV)')\n", + "ax31.plot(dB.time(), dB['amp.Vm'] - dC['amp.Vm'], label='Model B - Model C')\n", + "ax12 = fig.add_subplot(3, 3, 2); ax.set_ylabel('Vp (mV)')\n", + "ax12.plot(dA.time(), dA['amp.Vp'] - dB['amp.Vp'], label='Model A - Model B')\n", + "ax22 = fig.add_subplot(3, 3, 5); ax.set_ylabel('Vp (mV)')\n", + "ax22.plot(dA.time(), dA['amp.Vp'] - dC['amp.Vp'], label='Model A - Model C')\n", + "ax32 = fig.add_subplot(3, 3, 8); ax.set_ylabel('Vp (mV)')\n", + "ax32.plot(dB.time(), dB['amp.Vp'] - dC['amp.Vp'], label='Model B - Model C')\n", + "ax13 = fig.add_subplot(3, 3, 3); ax.set_ylabel('I obs (mV)')\n", + "ax13.plot(dA.time(), dA['amp.I_obs'] - dB['amp.I_obs'], label='Model A - Model B')\n", + "ax23 = fig.add_subplot(3, 3, 6); ax.set_ylabel('I obs (mV)')\n", + "ax23.plot(dA.time(), dA['amp.I_obs'] - dC['amp.I_obs'], label='Model A - Model C')\n", + "ax33 = fig.add_subplot(3, 3, 9); ax.set_ylabel('I obs (mV)')\n", + "ax33.plot(dB.time(), dB['amp.I_obs'] - dC['amp.I_obs'], label='Model B - Model C')\n", + "\n", + "for ax in (ax11, ax21, ax31):\n", + " ax.set_ylabel('Vm (mV)')\n", + "for ax in (ax11, ax12, ax13, ax21, ax22, ax23, ax31, ax32, ax33):\n", + " ax.legend()\n", + " \n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "0f81a21d", + "metadata": {}, + "source": [ + "Here, we see that\n", + "\n", + "- There are minor differences between Model A and Models B and C, which are only visible when plotting the difference explicitly.\n", + "- In line with their shared equations, models B and C differ only in their prediction of $I_\\text{obs}$ near discontinuities." + ] + }, + { + "cell_type": "markdown", + "id": "f83e9081", + "metadata": {}, + "source": [ + "## Models A and C with a high parasitic capcitance" + ] + }, + { + "cell_type": "markdown", + "id": "6f369cc7", + "metadata": {}, + "source": [ + "For Model A, we can calculate the damping factor as\n", + "\n", + "\\begin{align}\n", + "\\zeta = \\frac{\\tau_a + R_fC_f}{\\sqrt{\\tau_a R_f (C_p+C_f)}}\n", + "\\end{align}" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "f5705ee7", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Zeta: 10.453782146431431\n" + ] + } + ], + "source": [ + "Rf = 0.5 # GOhm\n", + "Cf = 0.15 # pF\n", + "Cp = 5 # pF (pF * GOhm = ms)\n", + "tau_amp = 20e-6 # ms\n", + "\n", + "zeta = (tau_amp + Rf * Cf) / np.sqrt(tau_amp * Rf * (Cf + Cp))\n", + "# (ms + ms) / sqrt(ms * ms) = dimensionless\n", + "\n", + "print(f'Zeta: {zeta}')" + ] + }, + { + "cell_type": "markdown", + "id": "6123c441", + "metadata": {}, + "source": [ + "This is well above 1, so that the system is stable.\n", + "\n", + "To see differences between the models, we can find an unstable situation.\n", + "For example, in a low-gain mode with $R_f = 5\\text{M}\\Omega$ and $C_p = 10$ pF:" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "3544c88d", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Zeta: 0.7642891671576164\n" + ] + } + ], + "source": [ + "Rf = 0.005\n", + "Cp = 10\n", + "zeta = (tau_amp + Rf * Cf) / np.sqrt(tau_amp * Rf * (Cf + Cp))\n", + "print(f'Zeta: {zeta}')" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "62cd5098", + "metadata": {}, + "outputs": [], + "source": [ + "new_Rf = 0.005\n", + "new_Cp = 10\n", + "sA.set_constant('amp.Cp', new_Cp)\n", + "sA.set_constant('amp.Rf', new_Rf)\n", + "sC.set_constant('amp.Cp', new_Cp)\n", + "sC.set_constant('amp.Rf', new_Rf)\n", + "sA.reset()\n", + "sC.reset()\n", + "dA = sA.run(7, log_interval=dt)\n", + "dC = sC.run(7, log_interval=dt)" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "9cd6ad9f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(15, 4))\n", + "fig.subplots_adjust(wspace=0.35)\n", + "\n", + "ax = fig.add_subplot(1, 3, 1)\n", + "ax.set_ylabel('Vm (mV)')\n", + "ax.axhline(mA.get('amp.Vm').initial_value().eval(), **kw)\n", + "ax.axhline(mA.get('amp.Vc').eval(), **kw)\n", + "ax.plot(dA.time(), dA['amp.Vm'], label='Model A')\n", + "ax.plot(dC.time(), dC['amp.Vm'], label='Model C')\n", + "ax.legend()\n", + "\n", + "ax = fig.add_subplot(1, 3, 2)\n", + "ax.set_ylabel('Vp (mV)')\n", + "ax.plot(dA.time(), dA['amp.Vp'])\n", + "ax.plot(dC.time(), dC['amp.Vp'])\n", + "ax = ax.inset_axes((0.15, 0.20, 0.5, 0.75))\n", + "ax.plot(dA.time(), dA['amp.Vp'])\n", + "ax.plot(dC.time(), dC['amp.Vp'])\n", + "ax.set_xlim(4.998, 5.02)\n", + "\n", + "ax = fig.add_subplot(1, 3, 3)\n", + "ax.set_ylabel('I obs (pA)')\n", + "ax.plot(dA.time(), dA['amp.I_obs'])\n", + "ax.plot(dC.time(), dC['amp.I_obs'])\n", + "ax = ax.inset_axes((0.25, 0.40, 0.4, 0.55))\n", + "ax.plot(dA.time(), dA['amp.I_obs'])\n", + "ax.plot(dC.time(), dC['amp.I_obs'])\n", + "ax.set_xlim(4.998, 5.02)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "37187c14", + "metadata": {}, + "source": [ + "Now we see the expected ringing behaviour in Model A, while the simplified equations in Model C show a simpler response." + ] + }, + { + "cell_type": "markdown", + "id": "def45ae4", + "metadata": {}, + "source": [ + "## Conclusions\n", + "\n", + "- Model A, which uses the op-amp equation from Sigworth 1995a, exhibits more complicated dynamics than Models B and C, which are based on a dominant-pole approximation of Model A.\n", + "- Model B is a Model A variant with an alternative op-amp equation.\n", + "- Model C can be formulated as a Model B variant with $V_\\text{out} = V_o - V_p$.\n", + "- When using the default settings, the differences between the models appear neglible.\n", + "- Model A can be made to show unstable ringing behaviour." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.2" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/artefacts/appendix-B2-compensated-models.ipynb b/artefacts/appendix-B2-compensated-models.ipynb new file mode 100644 index 0000000..5af5daf --- /dev/null +++ b/artefacts/appendix-B2-compensated-models.ipynb @@ -0,0 +1,748 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "fc24dbb4", + "metadata": {}, + "source": [ + "# Appendix B2: Models with compensation\n", + "**Appendix B discusses and compares patch clamp model equations**" + ] + }, + { + "cell_type": "markdown", + "id": "aff7c8af", + "metadata": {}, + "source": [ + "In [Appendix B1](./appendix-B1-uncompensated-models.ipynb) we compared uncompensated patch-clamp models, omitting voltage offset and leak current for simplicity.\n", + "In this notebook, we continue the same approach for models of _compensated_ patch clamp." + ] + }, + { + "cell_type": "markdown", + "id": "7d17c4f4", + "metadata": {}, + "source": [ + "The schematic is shown below:\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "id": "5d0303e8", + "metadata": {}, + "source": [ + "As with the uncompensated model, we can write the Sigworth and Lei-style models using very similar equations:\n", + "\n", + "\\begin{align}\n", + "1. && C_m\\dot{V}_m = \\frac{V_p - V_m}{R_s} - I\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "2a. && (C_p+C_f)\\dot{V}_p &= \\frac{V_o - V_p}{R_f} - \\frac{V_p - V_m}{R_s} + C_f\\dot{V}_o + C_m^* \\dot{V}_\\text{est} + C_p^* \\dot{V}_\\text{ref} \\\\\n", + "2b. && C_f\\dot{V}_o &= \\frac{V_p - V_o}{R_f} + \\frac{V_p - V_m}{R_s} + \\left(C_p + C_f\\right)\\dot{V}_p - C_m^* \\dot{V}_\\text{est} - C_p^* \\dot{V}_\\text{ref}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "3a. && \\tau_a \\dot{V}_o &= V_\\text{ref} - V_p \\\\\n", + "3b. && \\tau_c\\dot{V}_p &= V_\\text{ref} - V_p\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "4. && \\dot{V}_\\text{est} &= \\frac{V_c - V_\\text{est}}{(1 - \\beta)R_s^*C_m^*} \n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "5. && \\tau_\\text{sum}\\dot{V}_\\text{ref} = V_c + \\alpha R_s^* I_\\text{obs} + \\beta R_s^* C_m^* \\dot{V}_\\text{est} - V_\\text{ref}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "6a. && R_f I_\\text{obs} &= V_o - V_\\text{ref} \\\\\n", + "6b. && R_f I_\\text{obs} &= V_o - V_p\n", + "\\end{align}\n", + "\n", + "Where the Sigworth-style model consists of **(1, 2a, 3a, 4, 5, 6a)**, while the Lei model can be written as **(1, 2b, 3b, 4, 5, 6b)**." + ] + }, + { + "cell_type": "markdown", + "id": "6fdd1973", + "metadata": {}, + "source": [ + "## Simulations\n", + "\n", + "We now run simulations for a single step from -80 to 20 mV." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "122937ff", + "metadata": {}, + "outputs": [], + "source": [ + "import myokit\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "markdown", + "id": "dbc86249", + "metadata": {}, + "source": [ + "## Sigworth-style model (1, 2a, 3a, 4, 5, 6a)\n", + "\n", + "We start with a (1, 2a, 3a, 4, 5, 6a) model:" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "73fbb8b7", + "metadata": {}, + "outputs": [], + "source": [ + "mA = myokit.parse_model('''\n", + "[[model]]\n", + "desc: Compensated model (1, 2a, 3a, 4, 5, 6a)\n", + "amp.Vm = -80\n", + "amp.Vp = -80\n", + "amp.Vo = -80\n", + "amp.Ve = -80\n", + "amp.Vr = -80\n", + "\n", + "[engine]\n", + "time = 0 [ms] in [ms] bind time\n", + "pace = 0 bind pace\n", + "\n", + "[amp]\n", + "alpha = 0.7\n", + "beta = 0.7\n", + "Rs = 15e-3 [GOhm] in [GOhm]\n", + "Rs_est = 14e-3 [GOhm] in [GOhm]\n", + "Cm = 25 [pF] in [pF]\n", + "Cm_est = 24 [pF] in [pF]\n", + "Cp = 5 [pF] in [pF]\n", + "Cp_est = 4.9 [pF] in [pF]\n", + "Rf = 0.5 [GOhm] in [GOhm]\n", + "Cf = 0.15 [pF] in [pF]\n", + "tau_amp = 20e-6 [ms] in [ms]\n", + "tau_sum = 10e-3 [ms] in [ms]\n", + "I = 10 [nS] * Vm\n", + " in [pA]\n", + "Vc = engine.pace * 1 [mV]\n", + " in [mV]\n", + "dot(Vm) = (Vp - Vm) / (Rs * Cm) - I / Cm : Eq 1\n", + " in [mV]\n", + "dot(Vp) = ((Vo - Vp) / Rf - (Vp - Vm) / Rs +\n", + " Cf * dot(Vo) + Cm_est * dot(Ve) + Cp_est * dot(Vr)\n", + " ) / (Cp + Cf) : Eq 2a\n", + " in [mV]\n", + "dot(Vo) = (Vr - Vp) / tau_amp : Eq 3a\n", + " in [mV]\n", + "dot(Ve) = (Vc - Ve) / ((1 - beta) * Rs_est * Cm_est) : Eq 4\n", + " in [mV]\n", + "dot(Vr) = (Vc + alpha * Rs_est * I_obs + beta * Rs_est * Cm_est * dot(Ve) - Vr) / tau_sum : Eq 5\n", + " in [mV]\n", + "I_obs = (Vo - Vr) / Rf : Eq 6a\n", + " in [pA]\n", + "''')\n", + "mA.check_units(myokit.UNIT_STRICT)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "67a48ce7", + "metadata": {}, + "outputs": [], + "source": [ + "vlo, vhi = -80, 20\n", + "p = myokit.Protocol()\n", + "p.add_step(level=vlo, duration=5)\n", + "p.add_step(level=vhi, duration=15)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "6a758bc7", + "metadata": {}, + "outputs": [], + "source": [ + "def axs(fig, sub=(1, 1, 1), xlabel='Time (ms)', ylabel=''):\n", + " ax = fig.add_subplot(*sub)\n", + " ax.set_xlabel(xlabel)\n", + " ax.set_ylabel(ylabel)\n", + " return ax\n", + "\n", + "def ins(ax, loc=(0.05, 0.20, 0.40, 0.65)):\n", + " ins = ax.inset_axes(loc)\n", + " ins.set_yticklabels([])\n", + " ins.set_xlim(t1, t2)\n", + " ins.patch.set_alpha(0.5) \n", + " return ins\n", + "\n", + "def plot(d, t1, t2, axes=None, label=None, ls=None):\n", + " if axes is None:\n", + " fig = plt.figure(figsize=(15, 12))\n", + " \n", + " ax1 = axs(fig, (3, 2, 1), 'Vm (mV)')\n", + " ax2 = axs(fig, (3, 2, 2), 'Vp (mV)')\n", + " ax3 = axs(fig, (3, 2, 3), 'Vest (mV)')\n", + " ax4 = axs(fig, (3, 2, 4), 'Vo (mV)')\n", + " ax5 = axs(fig, (3, 2, 5), 'Vref (mV)')\n", + " ax6 = axs(fig, (3, 2, 6), 'Iobs (mV)')\n", + " in1, in2 = ins(ax1), ins(ax2)\n", + " in4, in5, in6 = ins(ax4), ins(ax5), ins(ax6)\n", + " in1.set_xlim(5, 10)\n", + " in1.set_ylim(10, 23)\n", + " in5.set_ylim(-30, 60)\n", + " else:\n", + " [ax1, ax2, ax3, ax4, ax5, ax6, in1, in2, in4, in5, in6] = axes\n", + " \n", + " ax1.plot(d.time(), d['amp.Vm'], label=label, ls=ls)\n", + " in1.plot(d.time(), d['amp.Vm'], label=label, ls=ls)\n", + " ax2.plot(d.time(), d['amp.Vp'], ls=ls)\n", + " in2.plot(d.time(), d['amp.Vp'], ls=ls)\n", + " ax3.plot(d.time(), d['amp.Ve'], ls=ls)\n", + " if 'amp.Vo' in d:\n", + " ax4.plot(d.time(), d['amp.Vo'], ls=ls)\n", + " in4.plot(d.time(), d['amp.Vo'], ls=ls)\n", + " ax5.plot(d.time(), d['amp.Vr'], ls=ls)\n", + " in5.plot(d.time(), d['amp.Vr'], ls=ls)\n", + " ax6.plot(d.time(), d['amp.I_obs'], ls=ls)\n", + " in6.plot(d.time(), d['amp.I_obs'], ls=ls)\n", + " \n", + " return [ax1, ax2, ax3, ax4, ax5, ax6, in1, in2, in4, in5, in6]" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "97305329", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Final Vm: 17.39128490597036\n" + ] + } + ], + "source": [ + "tol = 1e-8\n", + "dt = 5e-5\n", + "\n", + "t0 = 10\n", + "t1 = 4.9\n", + "t2 = 6\n", + "\n", + "sA = myokit.Simulation(mA, p)\n", + "sA.set_tolerance(tol, tol)\n", + "\n", + "sA.set_constant('amp.alpha', 0) # No correction\n", + "sA.set_constant('amp.beta', 0) # No prediction\n", + "sA.set_constant('amp.tau_sum', 1e-9) # Very fast filtering of Vc\n", + "\n", + "sA.pre(t1)\n", + "dA = sA.run(t0)\n", + "ax = plot(dA, t1, t2)\n", + "plt.show()\n", + "\n", + "print(f'Final Vm: {dA[\"amp.Vm\"][-1]}')" + ] + }, + { + "cell_type": "markdown", + "id": "1f8a15c3", + "metadata": {}, + "source": [ + "Now we gradually switch compensation on and run again" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "0420c74b", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Final Vm: 17.391284289676793\n", + "Final Vm: 18.281499797729328\n", + "Final Vm: 19.267789850754454\n" + ] + } + ], + "source": [ + "sA.reset()\n", + "sA.set_constant('amp.tau_sum', 10e-3)\n", + "sA.pre(t1)\n", + "dA1 = sA.run(t0)\n", + "print(f'Final Vm: {dA1[\"amp.Vm\"][-1]}')\n", + "\n", + "sA.reset()\n", + "sA.set_constant('amp.alpha', 0.4)\n", + "sA.pre(t1)\n", + "dA2 = sA.run(t0)\n", + "print(f'Final Vm: {dA2[\"amp.Vm\"][-1]}')\n", + "\n", + "sA.reset()\n", + "sA.set_constant('amp.alpha', 0.8)\n", + "sA.pre(t1)\n", + "dA3 = sA.run(t0)\n", + "print(f'Final Vm: {dA3[\"amp.Vm\"][-1]}')" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "71d74867", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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fvbiFFO8H7PHXcE3yODwj57sdkoiIyDFLdaoiL1KyD1lfVFfEqwWvcumES4n3xvd+YCIuUfIm0k9tPlDDv1fuYdawp0h2HC456xduhyQiItIpCeF6HAz4kw9Z/+jWR3Gsw5UTr3QpMhF39Ktmk0uWLGHJkiUAlJSUuByNiLvueWkr4+L3s9pXwaXJY0jJnuJ2SCLiIpWR7nKsQ3ljOaUNpVQ1VVEdqKaqqeqQ143hRgLhAIFwgKZwU8vrkA0BYDCHnNMYg8/48Hv9xHniiPO2ekSX473xJPmTSPJFH/5Wz/626+I8cRhj2nsLrki09QQ8iSR4DtY3BMNBHt3yKAtHLGRk6kgXoxPpff0qeVu8eDGLFy8GYmcwCZGesLWohqXr9vPFMY/zV4/h0hO/6nZIIuIylZE9r6qpip1VO9ldvZvd1bspqCmgqL6IoroiiuuLW5Kww/k9ftLi00j0JR6ShMV740n0J+I3/pZ9Lbbl2VpL2IYJhAPUBeuoaKpoSfgCToBgOEhjuJGGUMMxvwev8ZLkSyLRn0iSL4lkf3Lb5O+wpC/Zn3zIMd0p0dbT5EsmodW6Z3Y+Q3FDMT+Y/INuvZZILOhXyZuIRPz2lW2M9Fezhq2M9wxh2qgz3A5JRKTfCDkhdlbtZFP5JjaWb2RT+Sa2VmylsqmyZR+f8TEsZRhDk4cyN2cuOck55CTlkJmYSVp8GmnxaQyKG0RafBoJ3oQere1yrENjqJH6UD31wfpjem4INVAXrGtZLq4vbrNfcyJ5uHi6rw9akq2nyXuwyaRjHf667q9MHDKRU0ac0m3XEYkVSt5E+pm9lQ089cE+fjFmGd+Pj+Ork6/sU01gRERiTV2wjveL32d10WrWFK9hXek6msJNAMR745k4ZCJnjTqLMWljyBuUx+hBoxmROgK/x3+UM3eBteCEIRyIPoLghMCGI+utE3k4YTw2TJITJqn1NicM1gM2ETxx4E8FnwNx4VbnaH62gD3k2VqHRidIXbiJhnAT9U6A+nCAOqeJW3mm295msq0n6D1Ym/dKwSvsqNrBT0/9qco2GZCUvIn0M/cv300cQfYF38TEx/HRade5HZKI9HPWWnaU1rFpfw3ldU1UN4YIO5awY3Fs5Lm9OhrbfsVNhzU60Y2dWY3t4CIdXxtCtpHi4HqKgusoDW6kMrwLi8XgYYh3DKP9ZzMkcQyDvXmkeofjcQzxxfVUHqhjY7iG7eF38TuN0UcTPqep5XXz+si6plavG/HaIF4bijw7kdeedtY1L5sjfU49zACJ0UdbE7rtOn6ChDyRqwSdIHetvou8QXmcl3det11DJJYoeRPpRxqDYR5asYevj9zE036YO2g8WUlZboclIv3Yyl3lfPfxdWw6UNPudmPAawyejmpJOre65ZztH9P+hmO5tPEXk5D0PiRtJpBYiDUOHsdDdlMq8xuzmdjoZVKjQ4YtJ4WXSKGeFBoiz+bY+5QBBK2XBuJpIo5G4mkgjgbiCOAniI8gcQRJir6OPEJ4D1k+/BHCSxgvDh4cDGE8OHiO+flo2yJ1bgYb/dSaX7e3Hn7Vqc/jSHw2iPUMAuCBDQ+wq3oX95x5T8/Waor0YUreRPqRpz7YR0V9kPk8w11xcdw+6Qq3QxKRfmzVrnKu+fNyhqUl8qNLpzNn1GCyUxNITfDh8xi8HuN+07amWqg5ALUHIs81+6HmALZ6P1vqClkWKGaZJ8g2v4cmYHwgwMnVjZxc38CcpibiLeCNg8R0yBwE8akQPxziB0UeCc3rUqProq/9SeBPbPWILvsS8Xt99OfUI/+Z7kneHMfiI4z1+FhTtIZ73ruHM0aewRkjz+iW84vEoh5P3owx5wN3A17gL9baO3v6miID1cOrCjgnvYR3mnZB8mDOGn222yGJSD8Vdizf+M+HDB+cyJM3n0JakgvpiONAbRFU7ok+dh98XVUYSdYCh9YIbvP7eWbQIJ5LTqbQC554mO1L55spY/hI+nSGp+VFErWkdEjKiDzikjuuvpMeE3Qc/ITY5A/zg2X/jxEpI7hj4R3u3xAQcVGPJm/GGC/wO+AcoBBYaYx50lq7oSevKzIQ7S6rY+WuCh4fv4Kf2GROyJhOTnKO22GJSD/1/PoD7Cit44/XzunZxC0chIpdULoVyrZC2fZWCVpBZLCO1pKzYPAoyJkK48+G1ByKE1J4tn4PT5e+z6aaXXiNl5OGncSNo8/hjJFnkJGY0XPxy3ELhS1ewvw6sYQhCdnce969pCekux2WiKt6uuZtPrDNWrsDwBjzEHAJoORNpJv99729eI1DRtUyNmXG87Ux57sdkogcQay3THlm7X6yUuM5d+rQrp/MWqgrjSRnzUla6bbIc8WuyCiKzZIyYPBoGDoDJn80kqgNyYs8p+VGasmAxlAjL+5+kSe2P8GK7SuwWKZnTOe2+bdxXt55ZCZmdj1u6VFha9kf57DfE+SHMz9HdlK22yGJuK6nk7cRQEGr5ULgxNY7GGMWA4sBRo0a1cPhiPRP1loeW7OXG0YU8HZTHRDPabmnuR2WiHQg1lumBMMOr20u4WOzhuHxdKIJW6gJyne0StBaJWuNVQf388ZB+jjIngJTLobMCZAxATLHQ+KQI15iS8UWHt3yKE/teIqaQA0jUkbwuVmf46NjPkpeWt7xvWFxhXWgMM4BYGrGVJejEekbejp5a+8b/ZBxba21S4AlAPn5+e6NeSsSw9bsqWRPeT3XpC/nF/5UclNGkDcoz+2wRKRjMd0yZWtRLbVNIU4a20Fzw/pyKNkUebRO0Cr3RH6RN0sdBhnjYfrl0eRsQmR58CjweI85nvpgPc/vep7/bP0PH5Z8iN/j5+xRZ3P5xMuZN3QeHuPp4jsWNzjWUhb9pToydaS7wYj0ET2dvBUCrf/acoF9PXxNkQHn+fUHSPYGGVq8jHdHZPHx3NPUoVukbztqy5S+bP2+SC3Z9BFpkRV1pbD2P7DzNdi7JjKyYzN/EmSMg+FzYOYnDtagZYyPjMrYBRvKNvDolkd5Zucz1AXrGJM2hq/lf42Lx13MkIQj19BJ3+dYS73H4rWGRF/7M8qJDDQ9nbytBCYYY8YAe4FFwDU9fE2RAcVay/PrD3DD8ALW1IZpxOHUEae6HZaIHNlRW6ZA3+1asH5fNUlxXsZkJMO7f4IXvwehRhgyBsadGWnumD0VsibDoBHg6b6ar9pALUt3LuXRrY+yoWwD8d54zh19LldMvILZ2bN146ofcSzUeyEJn/67ikT1aPJmrQ0ZY74APE+kQ/Z91tr1PXlNkYFm04EadpfVc3H6ezzKIOK98cwbOs/tsETkyI6pZUpf7VqwrbiWCTmpeFb9BZ79Bkw8H87+QSRp6wHWWj4o+YDHtj7Gc7ueoyHUwIQhE7ht/m1cNPYi0uLTeuS64i5rLXUeSDGallikWY//NVhrlwJLe/o6IgPV8+sP4DUOY8teY/nQdObmzCHBl+B2WCJyZDHdMqWwop4FOWF48fsw/hxY9K9urV1rVtlYydM7nubRrY+yrXIbib5ELhhzAZdNuIyZmTNVG9PPORZqPYakfj2luUjn6FaGSIx7fn0Ri4YVUVFZzjabxEdV6ybS58Vyy5SwY9lb2cBFg5dBsB4u+Fm3Jm6OdVh5YCWPbn2UZbuXEXSCTM+YzvcXfJ8LxlxAsj+5264lfZvjhGn0QJx+roq00F+DSAwrrm5k4/5q/nfCB6wMRH7QqMmkSGyI1ZYpxTWNBMMOMyqXQd4pkcFIushay5aKLTyz8xme3fksB+oOkBqXypUTr+SyCZcxKX1SN0QuscYJBQhh8KnZpEgL/TWIxLA3tpYCMKXmHZ7JGk2SL6S5cESkR+2taCDXlDCobjec9oXjPo+1lp1VO3lpz0ss3bmUbZXb8BkfC0cs5NY5t3LWqLPUBHygCwcJGkOCOfZpI0T6OyVvIjHsja0lTE2uIaFyKyuyZzInew5+j/oGiEjPKalpYo7ZFlkY1bnZDZrCTbxf/D6vFb7GqwWvUlATmS1hTvYcvnPidzg371wN8S8tbDhI0GjAEpHW9NcgEqMcx/LG1lK+mrWDkhIPO4OVfHzofLfDEpF+rqwuwGzPVqwvEZM9rcP9HOuwt3Yv2yu3s7Z0LasOrGJt6VqCThC/x8+Jw07k+qnXc/rI0xmaPLQX34HECsdxCBqDTzVvIi2UvInEqA37qymrC3DK0HWsTMsGYL6SNxHpYeV1AWabvdjsKRhv5GdEXbCOD0o+YHP5ZrZVbmNb5TZ2Vu2kIdQAgMd4mJI+hWsmX8PcnLmcOOxEkvxJbr4NiQGOdQhi8KHkTaSZkjeRGPXmtlIMDrkV7/LXEXmkmHp16heRHldW28RYbxGejDNoCDVw1+q7eGzrYzSGGwHITsxm7OCxXD7hcsYNHsf4weMZP3g8KXEpLkcuMccJEzSo5k2kFSVvIjFqxc5yzk4vxVNfynveUZyQeQI+j/6kRaRnVdXUMoxSnCFj+fIrX+btfW9z6fhLOX/M+UxNn8rghMFuhyj9hJpNirTVr37pLVmyhCVLlgBQUlLicjQiPcdxLKt2lXPnsC1UNxq2N5VyftYst8MSkQHAV70HD5YnTR1v7XuL75z4HT4x+RNuhyX9kHXCSt5EDtN9s2r2AYsXL2bVqlWsWrWKrKwst8MR6TGbi2qobgwx21nPuqyxAMxS8iYiR7BkyRLy8/PJz8/v0g1OX10RAPeXv8ekIZO4ctKV3RWiyCEcx0b6vCl5E2nRr5I3kYFi5a5yDA45le/zQfoIDIbpmdPdDktE+rDuusGZGChlt8/HxtoCLhl/CR6jnxLSM5zoVAF+TRUg0kJ/DSIxaMXOchaklOBpquJDv4dxCeNIjUt1OywRGQCSg+WsSI0H4LTc01yORvqzsBPCGoNPyZtIC90uE4kx1lpW7irn4owCLPBhY7GaTIpIr7DWMihczvvxiQyJH8Ko1FFuhyT9WDAcAMDnUbNJkWZK3kRiTGFFA0XVTczzbGbXoByqg7XMzJrpdlgiMgA0BMNkUMmGhASmZ07HGON2SNKPhZxI8uZVnzeRFqqHHuCCTpDaQC21gVrqQnU0hZsIhAMEw0ECToBAOEBTuImgEyQQjiyHbIiwEyZswzjWIWzDhJ2Drx3rEHJChyyHbWR/ay0Alshz89Mh61q9bt7/8O0t69rZfrRjYt2HhVUA5NZ+yHPDJkBwDzMzlbyJSM+rbQyRQSUFPg8L0vLcDkf6uVA4DIBHyZtICyVv/VhDqIGdVTvZUbWDXVW7KKovori+mOL6YiqbKqkN1LZMqtoVHuPBYzx4jReP8eAzPjyeg8te42153bpje/MdW0P7d27b2978uqO7vUc6pr/4sLCSXG8l8TUFfDhuGin1KYwdPNbtsERkAKhpCuHxVdNkYHTqaLfDkX7OsSEAPKrhFWmh5K0fqWqq4u19b7O6aDWri1azvXJ7S82T13jJTMwkOymbUamjmJU1ixR/CilxKaTGpZLiTyHZn0ycN454bzxx3jjiPHH4vX7iPJF1fq+fOG8cPuPD5/G1JGYDtdlM/g/zXbnuB4WVfCx9D9TAh+FaZmTO0GhvItIrahtD1PibgHhGDVJ/N+lZjhOpefNqwBKRFvpriHF1wTqe3/U8L+x6gXf3v0vIhkj2J3NC1gmcM/ocxg8ez7jB4xiVOgq/1+92uNJFjmNZt7eaL2bvpL4xgS11hdw09gK3wxKRAaK2KUS1PwjEk5uS63Y40s85TqTmzegGpUgLJW8xam/tXv6x/h88sf0J6oJ1jEwdyXXTruPsUWczJWMKPo/+0/ZHO0rrqG0KMTG8jS1DJ+PYcs3vJiK9pqYhSJ038oM6IzHD5Wikvws7zX3elLyJNNMv/BhTVFfEkg+X8Ni2xwA4L+88Fk1axKysWQO2+eJA8mFhJQaHjJpNvDjiFKgtZ3L6ZLfDEpEBorG+mjKfh0TjI8mf5HY40s85St5E2lDyFiOCTpAHNz7I79//PQEnwOUTLufGGTcyNHmo26FJL/qwsIqpccV4gnVs8vtJT0gnJynH7bBEZIAI11dS5vWS4Ut2OxQZABwbTd40z5tICyVvMWBrxVZuf+N2Nlds5rTc07ht/m2MTB3pdljignV7qzhvyH6ogo2haianT1aNq4j0GttQTanXS2ZcmtuhyADQ3OfNg5I3kWaqh+7DrLU8sPEBFj29iJKGEu464y5++5HfKnEboKy1bDpQQ37cbgK+RLbVFTIlfYrbYYnIAOI0VVHm9ZIZP8TtUGQAOFjzpp+rIs1U89ZHNYQa+P7b3+fZnc9yWu5p/HDhD/tG53BrIRyEcBNYB5xwZJ0Nt1p2Wi07hy5b5+B5Dp700PMfvr7DfelgvT3CuthVWNFAbVOI8aGtbBs2hZBTyuQM9XcTkd5jGqup9HpIT1TyJj3PCUdr3tRsUqSFkrc+qKiuiC+98iU2lm3kljm3cMP0G7qnaVxjNdTsh+p9UHMA6sugqRoaqyLbGqsiy4FaCAUg1Ajh6HPLclPX4+g3JvTq1TYfqMGDQ0bNZt7MPQNqS5maPrVXYxCRY2eM+T/gY0AA2A58xlpbGd12O3ADEAa+ZK193q04OyVQRbXHQ0r8YLcjkQFAA5aItKXkrY/ZU72Hm164iapAFb/5yG84feTpnTuB40DpZihaDyWbI69LNkNVYSQpa0/8IEhIO/iclAG+BPDFgzc+8tz8aF72+sF4weONPBsTfe2JLntaLXsOLmMi+0LkdbNDktOjrO/UvrS/b3d4+pvde76j2HSgmrFmH95QPRvi40huSiY3VfMsifRhLwK3W2tDxpifAbcD3zTGTAUWAdOA4cAyY8xEa6NtxPowJ1BNKM6QmqCaN+l54WhrHa9RzZtIMyVvfcjm8s187sXP4ViHe8+7l2kZ045+kLVQvAE2Pwt73oGCldBUFdlmPJA+FjInwbiPQOqwyGNQ9DkpA+JTo0mV9HWbDtRweupeCMCmcC2T0yfrbqRIH2atfaHV4nLgiujrS4CHrLVNwE5jzDZgPvBOL4fYaY2hGoiD1ITBbociA4Bq3kTa6lLy1i+bhLhkZ9VObnrhJvxeP/edex9j08Ye+YDiTfDeP2HjU1C5O7IueypM/ziMPAmGzYT0ceBP6PngpVdsPlDDRYn7CYfj2FKzh8uHXXH0g0Skr/gs8O/o6xFEkrlmhdF1fV6TE2nBkZrQB/pgS7/XXBnt8eoms0izrta89bsmIW44UHeAxS8uxhjDfefdx+hBo9vf0VrY9Ay889tILZvHD+POhFO/AhMvgFTN99VfNYXC7CitY2J2IQVZ42gI1zFxyES3wxIZ8Iwxy4D2Jtz8trX2ieg+3wZCwAPNh7Wzf7ujKhljFgOLAUaNGtXleLsqEI4kbylqNim9oGW0STWbFGnRpeStPzYJ6W01gRo+9+LnqA3UHjlx2/4yvPg9OLAWhuTBOT+CE66B5MxejVfcsa24lrBjGda0kzeHTYXGrUreRPoAa+3ZR9pujLkeuAg4y9qWYW8LgdZzvuQC+zo4/xJgCUB+fr7rw+YGbAMAqfGpLkciA4HT3OdN3TtEWnRnn7fjahLS1+4q9ibHOtz+xu3sqd7DknOXMCWjnTm7aorguW/C+v9GkrZL/wgzrgSvuisOJJv21zCIOhIb9rMtcR6m0TB28FGa1oqIq4wx5wPfBE631ta32vQk8KAx5ldEWqdMAFa4EGKntSRvfiVv0vMcG50qQDVvIi2OmgH0dJOQvnZXsTf96YM/8Vrha3zrxG8xb+i8tjtsewn++7nIMP5nfhsWfkl92AaoLcU1TPVFbsxvNQ4jU0eS6Et0OSoROYrfAvHAi9HpXpZba//HWrveGPMwsIFI2XlzrHQrCBCZLiYlLsXlSGQgcJxIzZvmeRM56KjJW083CelOS5YsYcmSJQCUlJT09OW65P3i9/njh3/korEXsWjSokM3Wgtv/BJe/lFkEJLrn4bs7puMORR2qGoIUtsUoj4Qpj4QpjEYjr4O0RgMEwg5BMOWsGMJOg7hsCXoWMKOQyhsCTmWUNgh5FgcC2Ajc3VbsM2vObhMy7Jttf7gMq2Paz6mk453Hu5YuGOwo6SOBSkHoBG2BsqZkD7J7ZBE5CisteOPsO0nwE96MZxuESQAQIpfyZv0PButedNUASIHdXW0yT7VJGTx4sUsXrwYgPz8/J6+3HGrD9bzrTe/xdCkoXz7xG8fOgG3E4Znvwkr/xxpHvmxeyAu6ZjP3RgMs7Wolt3ldeyrbGBvRQN7KxsprW2isj5AeV2A6sbQccfu8xi8HoPf68HrMfg8BmMMxkSqWyPPrZcj782Y9rcZiEz91mq59X69pVsmQe9BO0pquSZuH01OKnvq9nHe2I+6HZKIDEDhaPKW4FMrEOl5qnkTaaurHaf6XZOQ3vD7939PYU0h951336FNT6yFp74E790PC78IZ/8QPB3PbRIMO3xYWMW7O8tYv7eajQeq2VVaF60Ji0iN9zF8cCLZg+IZmZ5EepKfIclxDEmKIyXeR1Kcl8Q4L4l+L0lxvsjrOC/xPg8+j8HnjT5Hk7a+nuT0pvx/9s51QmGHPeX1jEvfw87s8Ti2jPFDOryhLyLSru5onRI2IXwWfB71u5ae1zLapJI3kRZdHW2y3zUJ6Wk7KnfwwMYHuGzCZeQPPax28KU7Ionb6d+EM7/V7vHVjUFeXF/E0rX7Wb6jjLpA5IttdEYSk4em8rGZw5k8NJW8zGRGDElkUIK/p9+S9LCCigaCYYecxh28MPokqCtj4mCNNCkindMdrVPCJky81U086R02OtqkBiwROUi3znqRtZafrvgpif5EvjTnS4duXPkXePPXkP9ZOOP2Nse+t6eCe9/cyQvriwiEHUYMTuSyObksGJfBSWMzSE+O66V3Ib1tR0kt2VQSH6xia3wi/gY/IweNPPqBIiLdLGTCxKEf0tI7LJHkzZiOWyGJDDRK3nrRuwfeZfn+5Xxz3jdJT0g/uGHfe/Dc7TDhXLjwF7Tu7PXWtlJ+9eIWVu+uIDXBxzUnjuLiE4Yze+RgNWEcIHaU1DHBUwjANtvE2LSx+D2qURWR3hV2LCETJh59/0jvsJqkW6QNJW+96I8f/JHspGyumnTVwZWNVfDIpyE5Cz7+J4i26y4or+eOp9azbGMxIwYn8v2PTeXK/JGkxOs/2UCzo7SO6fHFYGFrYzFzh813OyQRGYCCYYeQx6rmTXpNc7NJr+a2FWmhv4ZesvLASlYXrea2+bcR523VxPH5b0FlAXxmKSSlY63l4VUF/PCpDRhjuO2CyXx6YR4JfhWWA9WOklquSyilxknlQEMJ4wdrsBIR6X2BsEPQOMTpp4P0Esc2N5vUbyCRZvoG7iX3rr2XjIQMLp9w+cGVu96KDFBy8q0w6iSaQmFuf3Qtj723lwVjM/i/K2eSO+TYpwmQ/mlHaR3j4veza8gooIZxaePcDklEBqBgyCFoLHFGPx2kdzT3efOoz5tIC30D94KCmgLe2vcWnz/h8wfnxgkF4Okvw+BRcPo3qagLcNM/VrFqdwVfPnsiX/zIeDwe9Wkb6Goag5TUNDHMu5fXUidAoIYxaWPcDktEBqBgyKHJY4gz6vMmvaO55s2r5E2khZK3XvDY1sfwGA+Xjb/s4MpV90LpZrj631SF/Fx773K2Ftfy22tmc9HM4e4FK33KztI64gkwqHEfOxNm4Av5GJE6wu2wRGQACoaCNBpDqpI36SWWyMS1mudN5CAlbz0s6AT579b/clruaeQk50RWBurgjV9C3qnUjD6L6+5dwdaiWpZcN5czJmW7G7D0KbvL6hllijFYdhqHkakjNdKkiLgi0NREozHE6ztIeomaTYq0peSth71W8BpljWVcOfHKgyvf/SPUleBc9QBf/vf7rNtbxR8+OUeJm7RRUFHPWLMPgF2hGsakT3I5IhEZqELBBho9hniP5hWV3mFttOZNyZtIC/019LClO5eSkZDBycNPjqxorIa37oaJ5/Obreks21jMdz86hXOnDXU3UOmTCsrrmRZfQgjY3VCk/m4i4ppwIFrz5lXyJr0jHG02qdEmRQ5S8taD6oP1vFH4BueMPgdvc3vt9x+AxireG3MTd720hctmj+D6hXmuxil9V0F5A1PjitmbNpSQE1LyJiKuCQWbm03Gux2KDBQtA5YoeRNppuStB71e+DqN4UbOzTs3ssIJw7t/JDxiPl94zcPYzGR+8vEZGKNRJaV9BRX1jDH72Dk4MohNXlqeuwGJyIAVaKrHMQa/at6klzjRmjeNNilykP4aetBLe14iPSGdOdlzIiu2PAcVu3g07mL2VTXw8ytmkhinu0nSvrBj2VvRwLDQXnYmpwGQNyjP3aBEZMBqCtYDEKfkTXpJS583j36uijTTX0MPCTkh3t73NqeOOPVgk8nlfyCQPJxvbRrN9QvymDs63d0gpU/bX9VAklNDUqiSXX4fGQkZpMWnuR2WiAxQTU11AMR51WxSekfzaJPq8yZykJK3HrK2dC3VgWpOzT01sqJiF+x6g0c4m4zUJL5+nkYNlCMrKG9gtCkGYKfTqCaTIuKqQChS8+b3KXmT3tFc84a6l4i0UPLWQ94ofAOv8bJg+ILIig8fBuB3Zfl89ZxJJMdrlgY5soKKyBxvADubyjVYiYi4qikQSd4SfAkuRyIDRcsk3Sh5E2mmDKKHvHvgXWZkzmBQ3CCwFvvBv3jfO4OUnDwun5vrdngSAwrL6xntKabC46EyWMOYQUreRMQ9wVATAHFK3qSXROvd8HiUvIk0U81bD6gP1rOhdAP5Q/MjKwpXYsp38EDjQr74kQl49SUkx2BPeT2T4svYnZoJwOhBo12OSEQGsmCoAYB4v5I36S3Red70c1Wkhf4aesCHpR8SsiHm5swFwH7wEI3Es2HwGVw4Y5jL0UmsKKhoYIy3lIJB2QCMHDTS5YhEZCALhZuTt0SXI5GBornPm9FokyIt9NfQA1YdWIXHeJidPRsch+D6p3g5PIvrTp+uWjc5ZgXl9YywRRQkpmAw5Kaoua1ILDLGfM0YY40xma3W3W6M2WaM2WyMOc/N+I5VINQIQEKckjfpLdE+bxqwRKRFv0relixZQn5+Pvn5+ZSUlLgWx+qi1UxJn0KyPxn2v0dcQzFv+eZz6ewRrsUksaUpFKaspp4hwSIK/D6GJg/V3EoiMcgYMxI4B9jTat1UYBEwDTgf+L2JgbHQQ+FIn7cE1bxJr9FokyKH61fJ2+LFi1m1ahWrVq0iKyvLlRgC4QAflnzY0mSy9oMnCVkPGbM/RoK/z5fN0kcUVTUxzJTjIUwBIUamqsmkSIz6NfANDo69AHAJ8JC1tslauxPYBsx3I7jOCIUjNW+J8ckuRyIDRUuzyf71c1WkS/TX0M02l28m4AQ4IfsEABrXPcVKZzKXnzzD3cAkpuyramBkdJqAgmC1kjeRGGSMuRjYa6394LBNI4CCVsuF0XXtnWOxMWaVMWaVmy1KAEJOAID4uCRX45CBo3mqAPV5EzlIUwV0sw1lGwCYljENW76TzPrtPDPkcyzI0J1KOXb7qxoYZYqpNYbyYK2SN5E+yhizDBjazqZvA98Czm3vsHbW2XbWYa1dAiwByM/Pb3efY7VkyRKWLFkCcFxdC8JOADwQ51OzSeldHqPkTaSZkrdutqF8A4PjBzMseRiFb/yakUDm3EvdDktizL7KRkaZIvbExQMoeRPpo6y1Z7e33hgzAxgDfGAi/XVygTXGmPlEatpa/1HnAvt6OFQWL17M4sWLAcjPz+/08c3Jm9+vmjfpHc3NJjVgichBupXRzTaUbWBqxlSMMdRufIndNofTTpzndlgSY/ZXNTDWV0ZhWg4AowaNcjkiEekMa+1aa222tTbPWptHJGGbY609ADwJLDLGxBtjxgATgBUuhntMHCcIKHmT3mM1z5tIG/pr6EZN4Sa2VWxjasZUwqEgI6vXUDB4HqkJfrdDkxizv7KRUd5yCpLSANW8ifQn1tr1wMPABuA54GZrbdjdqI4ubCPJm5pNSm/zqM+bSItu+WvoL3PYdNXWiq2EbIipGVPZtOYNUqgncdKZboclMWhfVSNDKaUgLp70hPTItBMiErOiNXClrZZ/Yq0dZ62dZK191s3YjlUomrz5vLohKb0lWvOmPm8iLbr819Cf5rDpqubBSqZmTOXABy8AMPmkj7oZksSo4spahoTLKPBY1bqJSJ/gEALQnJPSa5r7vLU7xI/IANUdtzL6zRw2XbWpfBOpcakMSxrGoP1vU+AfQ3L6MLfDkhjTEAgT31CMB4c9ToOSNxHpE0LRlp1+j2repLdowBKRw3UpeeuOOWz6k+2V25kweAKb95YxI7yBhhEnux2SxKB9VQ0MN6U0GSgK1jIqVYOViIj7wih5k97VXCswABpviRyzo04V0NNz2BhjFgOLAUaNit0fqdZatldt55zR57B5zWtMMUGyZ7Y7grTIEe2vbGS4KWevz4fFkpua63ZIIiKEbRiPtfg8mmVIeodVzZtIG0f9Bu7pOWy6cwJSN5U3llPVVMW4tHHUvfMOAIMnnepyVBKLmmve9vkif55K3kSkLwgRxhezpbTEJGvBKHkTae24m032xzlsumJH1Q4AhifnkVH5IRXxIyA58yhHibR1oKqR4aaMvYmpAAxLVr9JEXGfg3P0O74i3UqjTYocrke+h621640xzXPYhIiROWy6YnvldgAqKoew0GwjNOwUlyOSWFVU3cgsXzlrkgbj84TJSsxyOyQREcI4eFTzJr3IWsCoz5tIa912K6M/zGHTFdsrt5PqT2XPtmKGmXIGT1zodkgSo4prmhjpKWN/XDzDkofh9ajQEhH3WdW8Sa9rrnlTs0mRZqqH7iY7qnYwdvBYGndFWof6R/f7mRGkhxTXNJFNGXu9huHJw90OR0QEiDSb9Fj9iJbe0zJgiUf/7kSaKXnrJtsqtzEqdQyZlR8SMnGQM8PtkCRG1VVVkOLUsN8GGJ6i5E1E+gaLg9oBSG9qbqXrUbNJkRZK3rpBdaCa8sZyfOFsZpmt1GVMA1+c22FJDHIci692H00GSsINDEvRYCUi0jeEcfC0OxOQSM9ornkz+ncn0kLJWzcorCkEoKoqhRlmJ4l5ajIpx6eiPkAWZRzwRnqWjEjp93Pbi0iMsFjVvEnvstG6N49+roo0U9/jblBQUwBA/b4aEk0Acme7HJHEquKaJnJMBXujc7ypz5uI9BVhrPq8SS9TzZvI4XQroxs0J28J+6PzkA+d7mI0EsuKa5rIoYL9vsj9bfV5E5G+wsHBqx/R4gLN8yZykP4aukFhTSGD/EOY4uzFMX7InOR2SBKjiqsbyTEVFCak4DVespOy3Q5JRAQAB6vkTXqVbRmyRP/uRJopeesGBTUFpHhzmGJ2E86YoMFK5Lg1N5vcn5BETlIOPo9aNotI3+AYqwFLxBVGfd5EWvSrv4YlS5aQn59Pfn4+JSUlvXbdgpoCCGYwzVuAb7imCJDjV1zdyDBPJfv9fjWZFJE+RTVv0tusbZ6ku1/9XBXpkn7117B48WJWrVrFqlWryMrK6pVrBsIBDtQdIFATTzblmKFK3uT4Fdc0MdRTwV7jKHkTkT7FMeDpXz8bpI/TVAEibelbuIv21u7FYkmqaoysyNFgJXL8SqobSLMVlNgAQ5OHuh2OiEiLMGo2Kb0t2udN/+xEWqhDTRc1z/E2PlgbWaHkTbogWFNEhdfggJK3GBAMBiksLKSxsdHtUPq0hIQEcnNz8fv9bociXeBg8euer/Sig8OVKHsTaabkrYuapwmYHS4nnJSNN6V3mmtK/2OtxVNTRFFyZJqAnKQclyOSoyksLCQ1NZW8vDyM0Y+L9lhrKSsro7CwkDFjxrgdjnSBY8Cr5E16lZpNihxO38JddKDuAB78zGc/nmGqdZPjV9MUYohTRpFXyVusaGxsJCMjQ4nbERhjyMjIUO1kH9DVQb0cLF79W5fe1DJgif7diTRT8tZFB+oOYMJpjDX7MZkT3Q5HYlhZbYAcU0GxL1IhruQtNuhHxdEN5M/IGPNFY8xmY8x6Y8zPW62/3RizLbrtvN6IpauDeoU1YIn0Mnv0XUQGHDWb7KJ9tfuhKZEE2wiZE9wOR2JYWW1kjrcDXi/x3njS4tPcDklEusAYcyZwCTDTWttkjMmOrp8KLAKmAcOBZcaYidbasHvRHp0DePG6HYYMINao2aTI4ZS8ddHe2v2kBpMiCxlK3uT4ldYGyKaCNfGRCboHcm2FSD/x/4A7rbVNANba4uj6S4CHout3GmO2AfOBd3orsPpAmNW7KzpxhI3UvGm+LelNzYNNqjwUaaHkrQvCTpjyxhLGh0ZGVqjZpHRBeV2AoaaCorh4cpLVZFKkH5gInGqM+QnQCHzNWrsSGAEsb7VfYXRdG8aYxcBigFGjRnVbYNtLarn8D2936pjxE8BnVPMmvceq4aRIG0reuqCkoQQHh9HhRmxcCiZVQ7vL8SurbWKWqaDY62OO+ruJy5577jluueUWwuEwN954I7fddpvbIfVJxphlQHtf/t8mUsYOAU4C5gEPG2PG0v6sVe3+SrXWLgGWAOTn53fbL9m8jGSWfHZ+p4654w3ISI7vrhBEjomxSuBEWlPy1gUH6g4AMI06TOYEULW+dEFZXYBsTyXFDNZgJeKqcDjMzTffzIsvvkhubi7z5s3j4osvZurUqW6H1udYa8/uaJsx5v8Bj1lrLbDCGOMAmURq2ka22jUX2NejgR4mNcHH6RM7N2hJ+E2I8+hng/Qmq95uIofRt3AXHKiPJG8zw2WQcbrL0UisK6+pB08tIdLUbFI6Zf369dxyyy3s2bOHT33qUxQXF3Pdddcxb9684zrfihUrGD9+PGPHjgVg0aJFPPHEE0reOu9x4CPAq8aYiUAcUAo8CTxojPkVkQFLJgArejWycACqCo99f2sJAV4lb9KLLO1XU4sMZPoW7oK9NfsBmBQoVn836bJAdSnFvshgAKp5iz13PLWeDfuqu/WcU4cP4vsfm3bEfRobG7nyyit55JFHGDt2LJMnT2bu3LltErdTTz2VmpqaNsf/4he/4OyzD6082rt3LyNHHqwYys3N5d133+3COxmw7gPuM8asAwLA9dFauPXGmIeBDUAIuLnXR5osWg+/PvK/rcOFR+fi9fh7KCCRtqyaTIq0oeStC7aUFmDCflIdC5nj3Q5HYpytK6KoeY431bzJMVq2bBmzZ89m2rTID/FAIMBXv/rVNvu98cYbx3zO9n4wabS3zrPWBoBrO9j2E+AnvRtRK4NHwcV3dOqQ8Lpf4xs6o4cCEhGRY6HkrQt2V+0jMRQfqdJXzZt0ka++lKLkyEhuqnmLPUerIesp7733HnPmzAFg3759pKSkcPLJJ7fZrzM1b7m5uRQUFLQsFxYWMnz48G6OXFyVlAFzruvUIaF1v8Ybl9xDAYm0R33eRA6n5K0LiuoPMCTkwWIw6WPdDkdiWNixxDWVUZTmxWd8pCekux2SxIj4+HgKCyN9l26//XYCgUC7+3Wm5m3evHls3bqVnTt3MmLECB566CEefPDBbolXYpO1lpAN4dVUAdKLrJI3kTaUvHVBVbCU2dZiBo0Af6Lb4UgMq6wPkEEVRT4fOUlZmghXjtk111zDJZdcwqRJk/jc5z5HU1MTt956K3fddddxn9Pn8/Hb3/6W8847j3A4zGc/+9mWZpnSPxyoO8DPVvys08f5NGCJ9CKLxajbm8gh9C18nMJOmKCtZpT1w5A8t8ORGFdWFyDTVLPD5yNLTSalE3Jzc1m9enW3n/fCCy/kwgsv7PbzSt9Q2VTJ49se79Qxg+IGMWnIpJ4JSKQ9StxE2uhy8maM+SLwBSIjZj1jrf1GdP3twA1AGPiStfb5rl6rLylvLAdjGR2qhSGj3Q5HYlxpbROZpooSXxwTkjo395KISGdNTp/MO9e843YYIkdm1GxS5HBdSt6MMWcClwAzrbVNxpjs6PqpwCJgGpE5bJYZYyb2+lDIPWhLaWQ+1dxAFQxW8iZdU1YbIJMqyrweFiRmuh2OiIiI6zTPm0hbXe1Y8/+AO621TQDW2uLo+kuAh6y1TdbancA2YH4Xr9WnbCzeC0BmOKxmk9Jl5XUBBnkqqTGWTCVvIiIiItKOriZvE4FTjTHvGmNeM8Y0zwo7AihotV9hdF2/saMiMkF3JHlTzZt0TVltE8ZXC0BWoppNioiIWKtmkyKHO2qzSWPMMmBoO5u+HT1+CHASMA942BgzlvZrudvtdmqMWQwsBhg1atSxRd0HFFRHKhkzw46aTUqXldY24fjqgWQyEjPcDkdERERE+qCjJm/W2rM72maM+X/AY9ZaC6wwxjhAJpGatpGtds0F9nVw/iXAEoD8/PwujSu0ZMkSlixZAsC6devIz8/vyumOKp54TmE8PPWxQ9aXlJSQldX7tSduXdfNa7v5njdt2tRt52qoLqUyOn2Sat5EpKft2rXruMpIN79z+2Ic0Hdi6StxQPeVj5rnTaStro42+TjwEeBVY8xEIA4oBZ4EHjTG/IrIgCUTgBVdvNZRLV68mMWLFwOQn5/PqlWrevqS7XLr2nrPvX/t7uLUFFPqjWRv6vMmIj2ttLT0uI5z8zu3L8YBfSeWvhIHdG/5qORN5FBdTd7uA+4zxqwDAsD10Vq49caYh4ENRKYQuLk/jTQp0t08dSWUJHjxYEhPSHc7HBERkT5Ak3SLHK5LA5ZYawPW2muttdOttXOstS+32vYTa+04a+0ka+2zXQ9VpP/yNpZS6vUyJG4QXo/X7XBEeO6555g0aRLjx4/nzjvv7HC/cDjM7Nmzueiii3oxOhEZCJS3ibTV1dEm+6zm5pMD6dp6z7F57WDYITlYQZnXoyaT0ieEw2Fuvvlmnn32WTZs2MC//vUvNmzY0O6+d999N1OmTOnlCMUtbn7nttZX4oC+E0tfiQO6MxalbyKHU/LWj66t9xyb166oC5Bpqijx+chMbm9gV5EjW79+PWeffTYTJ07kRz/6EV/84hdZuXLlcZ9vxYoVjB8/nrFjxxIXF8eiRYt44okn2uxXWFjIM888w4033tiV8CWG9JUEoa/EAX0nlr4SB3RfLBqwRKStrvZ5E5EuKqsLkEkkeRuvmrfY9extcGBt955z6Ay4oOMmiwCNjY1ceeWVPPLII4wdO5bJkyczd+5c5s2bd8h+p556KjU1NW2O/8UvfsHZZx86qPDevXsZOfLggMG5ubm8++67bY699dZb+fnPf97ueUVEuoOSN5FDKXkTcVlZbYB0U0WZx0NWUt8Y5llix7Jly5g9ezbTpk0DIBAI8NWvfrXNfm+88cYxnzMy7tShjDn0J9TTTz9NdnY2c+fO5dVXX+1c0CIixyDyVaSmkyKt9cvkLS8vj9TUVLxeLz6fr9eGzq2srOTGG29k3bp1GGO47777WLBgQY9fd/PmzXziE59oWd6xYwc//OEPufXWW3v82r/+9a/5y1/+gjGGGTNm8Ne//pWEhIQevy5E+tr8+c9/xlrLTTfd1GPv97Of/WzLD9V169YBUF5ezic+8Ql27dpFXl4eDz/8MEOGDDmu85fVNTHYW0XYaJqAmHaUGrKe8t577zFnzhwA9u3bR0pKCieffHKb/TpT85abm0tBQUHLcmFhIcOHDz9kn7feeosnn3ySpUuX0tjYSHV1Nddeey33339/d7wt6WVHKzettdxyyy0sXbqUpKQk/va3v7X8u3vuuee45ZZbCIfD3Hjjjdx22209GssDDzzAz372MwBSUlL4wx/+wKxZs47p2O6O5dVXX+WSSy5hzJgxAFx22WV873vfA7r3czlaHP/3f//HAw88AEAoFGLjxo2UlJSQnp7e7Z/J0X7rdO+/FYtR3ZvIoay1feYxd+5c2x1Gjx5tS0pKuuVcnXHdddfZP//5z9Zaa5uammxFRUWvxxAKhWxOTo7dtWtXj1+rsLDQ5uXl2fr6emuttVdeeaX961//2uPXtdbatWvX2mnTptm6ujobDAbtWWedZbds2dIj13rttdfs6tWr7bRp01rWff3rX7c//elPrbXW/vSnP7Xf+MY3jvv89725w776owl2+t+m2+d2PtfleKX3bNiwwe0Q7M9+9jN76623Wmsj30GjRo3q8jmDwaAdM2aM3bFjh21qarIzZ86069at63D/V155xX70ox894jnb+6yAVbYPlD2x8uiuMrI9Rys3n3nmGXv++edbx3HsO++8Y+fPn2+tjZQ5Y8eOtdu3b2/5t7J+/foejeWtt96y5eXl1lprly5d2hLLsRzb3bF09G+/uz+XzryvJ5980p555pnHdeyxONpvne78t/KFP55mT7l32hH3EemPjlQ+9tsBS3pbdXU1r7/+OjfccAMAcXFxDB48uNfjeOmllxg3bhyjR4/uleuFQiEaGhoIhULU19e3uTvfUzZu3MhJJ51EUlISPp+P008/nf/+9789cq3TTjuN9PRD51574oknuP766wG4/vrrefzxx4/7/OV1AcK+ekA1b9J511xzDa+//jqTJk1i1qxZLFiwoMu10D6fj9/+9recd955TJkyhauuuqqlWeaFF17Ivn37uiFyiSVPPPEE1113HcYYTjrpJCorK9m/f/8xD27TnRYuXNjS0uGkk06isLCwR693PNz4XJr961//4uqrr+6Rcx/Lb53u/LeiBpMibfXL5M0Yw7nnnsvcuXNZsmRJr1xzx44dZGVl8ZnPfIbZs2dz4403UldX1yvXbu2hhx7qsS/tw40YMYKvfe1rjBo1imHDhpGWlsa5557bK9eePn06r7/+OmVlZdTX17N06dJDmnn1tKKiIoYNGwbAsGHDKC4uPu5zVddUU+tzAMhKVJ836Zzc3FxWr17N5s2b+cpXvsJDDz3EXXfd1eXzXnjhhWzZsoXt27fz7W9/u2X90qVL29ykOeOMM3j66ae7fE1xz9HKzfYGsdm7d2+H63syltbuvfdeLrjgguM6trtieeedd5g1axYXXHAB69evBzr+vHoyDoD6+nqee+45Lr/88k4feyyO5bdO9/5bUfomcrh+2eftrbfeYvjw4RQXF3POOecwefJkTjvttB69ZigUYs2aNfzmN7/hxBNP5JZbbuHOO+/kRz/6UY9et7VAIMCTTz7JT3/60165XkVFBU888QQ7d+5k8ODBXHnlldx///1ce+21PX7tKVOm8M1vfpNzzjmHlJQUZs2ahc8Xm/+cmyqLKfVG7qNkJGa4HI2IDERHKzdtB4PYdLS+J2Np9sorr3Dvvffy5ptvdvrY7oplzpw57N69m5SUFJYuXcqll17K1q1bu/1zOdb39dRTT3HyyScf0lqkOz+TY/mt053/VjRVgEhb/bLmrfmucHZ2Nh//+MdZsWJFj18zNzeX3NxcTjzxRACuuOIK1qxZ0+PXbe3ZZ59lzpw55OTk9Mr1li1bxpgxY8jKysLv93PZZZfx9ttv98q1AW644QbWrFnD66+/Tnp6OhMmTOi1a+fk5LB//34A9u/fT3Z29nGfK1BdTLnXS6LHT7I/ubtCFBGXGWNOMMYsN8a8b4xZZYyZ32rb7caYbcaYzcaY89yME45ebnY0iM2xDG7T3bEAfPjhh9x444088cQTZGRkdOrY7oxl0KBBpKSkAJHa6mAwSGlpabd/Lsf6vtprfdOdn8mx/Nbp7n8rRpVvIofod8lbXV1dy4hqdXV1vPDCC0yfPr3Hrzt06FBGjhzJ5s2bgUjfs6lTp/b4dVvryXbu7Rk1ahTLly+nvr4eay0vvfQSU6ZM6bXrNzdV3LNnD4899livvveLL76Yv//97wD8/e9/55JLLjnuc4VriynzekmPS+uu8ESkb/g5cIe19gTge9FljDFTgUXANOB84PfGGK9bQR5LuXnxxRfzj3/8A2sty5cvJy0tjWHDhjFv3jy2bt3Kzp07CQQCPPTQQ1x88cU9GsuePXu47LLL+Oc//8nEiRM7dWx3x3LgwIGWGqUVK1bgOA4ZGRnd+rkc6/uqqqritddeO6Q86u7P5Fh+63TnvxXlbSJtxWY7sw4UVzey+PfP89rvvgmAdcLkzT+XB/YO4f6/tJ1gtpnt4OuhnRr+I25LPuMmFpx7KU44SErmcOZf/20WLXnn2M7X8aYjbmyOPRRoZOnTz9J44mdZ+se3j/ta7TVrONIx4dEnkjN2CsbjJS13IuWzp/PS7946+rWOEOCR4zv4+u27biZQV4Xx+pj68S/wqfvXdfZSHW5rvfr9v99Bxfb3CNRWkTA4m/Hnf4bsGafxwX0/4Ee//C0JQ3KYdf0dnH/X652+TiDsMLexjDKvR00mRfofCwyKvk4Dmkd6uQR4yFrbBOw0xmwD5gPvtD1F93ltSwnr9la1WV+6bw9//t7NAITDIfLP+hjb48ez6Ms/BOCUj12NTZhAXVw62SNG409I5Nqv/5TfvLQVgHNvvJ0TT/0IjhPmpPOv4OUDcbx0YGu7MRy5bLKU7i/grz9ojiXM3DMvYqN3LPfecgcACy+6mn//6tvsKyrhyk9FBs3weL18+XePUba/gL/eETnWCYeZc8ZFbPCMYcMLmw+7zhFiaLWxbH8Bf//hF1rOd8KZH2WtyWPJl34AwIKPLuKtJx/gnaf/hdfrwxcXz0W3/oz/ez5yvTM+/U3mn3omTtgh/9zLeLrAy9MFm476WRz+m6R8fwH3//hL0ThCzDr9o7znjOaPX/g+ACdeuAiA1S/+l9wZJ3H3a3sOOfaBH38xcqwTZubpH2V1eBSrn9lwxBiO9DlNv+JWPnLR5YSDQYYMzeXSW37Mxz4fiSX/gquwdjRlnsFkDB+FPz6RS770I+54aj3WwoJrv07+KWdinTAnnPVxHtkOj2xf32EMTaEwpl/9UhXpOtPRj3U35Ofn267MP3KgqpHPP7C6w+1Halvd0ZYjNcc+4twjHWw6Utvt471WR8d19/mOpPs/285f63g/246OPP74Ojqm/Q3nV/2b++OeYNjYj/Cbs/9whDNLX7Nx48ZerW2OZe19VsaY1dbafJdC6nHGmCnA80S+MjzAQmvtbmPMb4Hl1tr7o/vdCzxrrf1PO+dYDCwGGDVq1Nzdu3cfdzzfeXwt9y/fc/Qd+5Hj+R4/nvLsSNc6nt8KR9rUE2V7d38Wx/cbqO3WORnfZ1diDa/c0P7NWZH+6kjlY7+6nzE0LYHHPt92clqRPu35x7h7r5fpSb3TV1FEuo8xZhkwtJ1N3wbOAr5srX3UGHMVcC9wNu3/hm33Tqq1dgmwBCI3OLsS6/c/No3vXtRxc/6Ofvj3lRttXR0IRWLP9x68k4KmWrfDEOlT+lXyJhKLnNoSKjwe0hPSj76ziPQp1tqzO9pmjPkHcEt08RHgL9HXhcDIVrvmcrBJZY/xe/tdN3fp56w9Sg2fyACkb3IRl1XVFhI2Rn3eRPqffcDp0dcfAZo7gj0JLDLGxBtjxgATgJ4fFlkkxnQ0JoHIQKbkTcRlZTWRKQcyEpS8Sd/x3HPPMWnSJMaPH8+dd97Z7j6//vWvmTZtGtOnT+fqq6+msbGxl6Ps824CfmmM+QD4X6J916y164GHgQ3Ac8DN1tqwa1GK9FEW1byJHK5/NZsM1MOeDuYZO57hHI84mMtxDGF4XMf0kWv1mfiO55g+/PnZMGW1eyE1RzVv0meEw2FuvvlmXnzxRXJzc5k3bx4XX3zxIUOC7927l3vuuYcNGzaQmJjIVVddxUMPPcSnP/1p9wLvY6y1bwJzO9j2E+AnvRpQbQk0VbcXzBEO6sYyoVu/b7vxmD79/ju9oX+9/1CDkjeRw/Sv5K22CO6/3O0oRDqlPDkJQH3e5LitX7+eW265hT179vCpT32K4uJirrvuOubNm3dc51uxYgXjx49n7NixACxatIgnnniizXxOoVCIhoYG/H4/9fX1XZ6cWXrYqz+FVfe6HYXIMbOZGZjkVLfDEOlT+lfyljoMbnjxCDsccRir4zjmSMEcx/j9xxVfb16rv8Z3PMd0X3xlO5+BtX9Qs8kY97MVP2NT+aaj79gJk9Mn88353zziPo2NjVx55ZU88sgjjB07lsmTJzN37tw2idupp57aMllva7/4xS84++xDx9zYu3cvI0ceHE8jNzeXd989dK7MESNG8LWvfY1Ro0aRmJjIueeey7nnntvZtyi96YRPwqiTOtjYW9+f3fjd3lvlTrce01tl2/H8dumDn9mmv0PtwJreQuRo+lfy5k+AkfPdjkKkU8p2BvEZH4PiBx19Z5HDLFu2jNmzZzNt2jQAAoEAX/3qV9vs98YbbxzzOdub//PwYdorKip44okn2LlzJ4MHD+bKK6/k/vvv59prr+3kO5Bekzs38hCJEbbwWUx9jw/EKhJT+lfyJhKDyhrKGJIwBI/R+EGx7Gg1ZD3lvffeY86cOQDs27ePlJQUTj657XyXnal5y83NpaCgoGW5sLCwTZPIZcuWMWbMGLKysgC47LLLePvtt5W8iUi3sVjN7ydyGCVvIi4rri8mOynb7TAkRsXHx1NYWAjA7bffTiAQaHe/ztS8zZs3j61bt7Jz505GjBjBQw89xIMPPnjIPqNGjWL58uXU19eTmJjISy+9RH5+/vG/ERGRw7TXCkBkoNOtfhGXHag7wNDkoW6HITHqmmuu4fXXX2fSpEnMmjWLBQsWcOutt3bpnD6fj9/+9recd955TJkyhauuuqqlWeaFF17Ivn37OPHEE7niiiuYM2cOM2bMwHEcFi9e3A3vSEQkwmIxGm9S5BD9quYt6AQ5UHug3W0dTfR4pAkgO7rjc8RjOhwit5P7d/P1j+fu1fGc63g+54H82Vhr2V61nZOGdzSIgMiR5ebmsnr16m4/74UXXsiFF17YZv3SpUtbXt9xxx3ccccd3X5t6RnljeXUBera3dadZeTxnq87y4LjjaE7y4Ojna87P6Mjnu84Yjje8x3J8ZyvvLFczSZFDtOvkrcDdQe48L9tf2yI9HVT0qe4HYKI9HO/f//3/Hvzv90OQ6RTVD6KHKpfJW/pCen87yn/2+njjnRXp6Pq+iNV43d0vg6POeKIvr1w/eOI7XjOdVyf83HccevOz+aIzTWO57Np5/p+j59ZWbM6vo6ISDe4eNzFx/Vd051lyvGUA66XQ91YDnR72d2NZWRv/HY4nuvnDcrr+GQiA1C/St6S/cl8bNzH3A5DRAYQazUa2tFo0IG+YWbWTGZmzXQ7DBER6YIuDVhijDnBGLPcGPO+MWaVMWZ+q223G2O2GWM2G2PO63qoIiJ9S0JCAmVlZUpOjsBaS1lZGQkJCW6HIiIiEvO6WvP2c+AOa+2zxpgLo8tnGGOmAouAacBwYJkxZqK1NtzF64mI9Bm5ubkUFhZSUlLidih9WkJCArm5uW6HISIiEvO6mrxZYFD0dRqwL/r6EuAha20TsNMYsw2YD7zTxeuJiPQZfr+fMWPGuB2GiIiIDBBdTd5uBZ43xvyCSBPMhdH1I4DlrfYrjK5rwxizGFgMkUlfRUREREREpK2jJm/GmGVAezMIfxs4C/iytfZRY8xVwL3A2bQ/zlC7nUKstUuAJQD5+fnqOCIiIiIiItKOoyZv1tqzO9pmjPkHcEt08RHgL9HXhcDIVrvmcrBJpYiIiIiIiHSS6cooacaYjcD/s9a+aow5C/i5tXauMWYa8CCRfm7DgZeACUcbsMQYUwLsPu6ADsoESrvhPP2JPpO29Jm0pc+kLX0mbXXXZzLaWpvVDecZELqpjNS/57b0mbRPn0tb+kza0mfSVnd8Jh2Wj13t83YTcLcxxgc0Eu27Zq1db4x5GNgAhICbj2Wkye4qxI0xq6y1+d1xrv5Cn0lb+kza0mfSlj6TtvSZuKM7ykj9t2tLn0n79Lm0pc+kLX0mbfX0Z9Kl5M1a+yYwt4NtPwF+0pXzi4iIiIiISESXJukWERERERGR3tFfk7clbgfQB+kzaUufSVv6TNrSZ9KWPpPYpf92bekzaZ8+l7b0mbSlz6StHv1MujRgiYiIiIiIiPSO/lrzJiIiIiIi0q8oeRMREREREYkB/Sp5M8acb4zZbIzZZoy5ze143GaMGWmMecUYs9EYs94Yc8vRjxoYjDFeY8x7xpin3Y6lrzDGDDbG/McYsyn6b2aB2zG5zRjz5ejfzjpjzL+MMQlux9TbjDH3GWOKjTHrWq1LN8a8aIzZGn0e4maMcmxURh5KZWTHVEYeSuVjWyofI9woI/tN8maM8QK/Ay4ApgJXG2OmuhuV60LAV621U4CTgJv1mbS4BdjodhB9zN3Ac9baycAsBvjnY4wZAXwJyLfWTge8wCJ3o3LF34DzD1t3G/CStXYC8FJ0WfowlZHtUhnZMZWRh1L52IrKx0P8jV4uI/tN8gbMB7ZZa3dYawPAQ8AlLsfkKmvtfmvtmujrGiJfNiPcjcp9xphc4KPAX9yOpa8wxgwCTgPuBbDWBqy1la4G1Tf4gERjjA9IAva5HE+vs9a+DpQftvoS4O/R138HLu3NmOS4qIw8jMrI9qmMPJTKxw4N+PIR3Ckj+1PyNgIoaLVciL6EWxhj8oDZwLsuh9IX3AV8A3BcjqMvGQuUAH+NNpX5izEm2e2g3GSt3Qv8AtgD7AeqrLUvuBtVn5Fjrd0PkR/AQLbL8cjRqYw8ApWRh7gLlZGtqXw8jMrHo+rRMrI/JW+mnXWaBwEwxqQAjwK3Wmur3Y7HTcaYi4Bia+1qt2PpY3zAHOAP1trZQB0DvClctI36JcAYYDiQbIy51t2oRI6bysgOqIw8SGVku1Q+Hkblo7v6U/JWCIxstZzLAK3Cbc0Y4ydSKD1grX3M7Xj6gJOBi40xu4g0G/qIMeZ+d0PqEwqBQmtt813n/xAprAays4Gd1toSa20QeAxY6HJMfUWRMWYYQPS52OV45OhURrZDZWQbKiPbUvnYlsrHI+vRMrI/JW8rgQnGmDHGmDgiHSefdDkmVxljDJE22huttb9yO56+wFp7u7U211qbR+TfyMvW2gF/t8haewAoMMZMiq46C9jgYkh9wR7gJGNMUvRv6SwGeCf1Vp4Ero++vh54wsVY5NiojDyMysi2VEa2pfKxXSofj6xHy0hfd57MTdbakDHmC8DzREa9uc9au97lsNx2MvApYK0x5v3oum9Za5e6F5L0YV8EHoj+sNsBfMbleFxlrX3XGPMfYA2RUeneA5a4G1XvM8b8CzgDyDTGFALfB+4EHjbG3ECkEL/SvQjlWKiMbJfKSDlWKh9bUfl4kBtlpLFWTd5FRERERET6uv7UbFJERERERKTfUvImIiIiIiISA5S8iYiIiIiIxAAlbyIiIiIiIjFAyZuIiIiIiEgMUPImIiIiIt3CGPOqMea8w9bdaoz5fSfP8x9jzNhj3DfZGFNmjEk7bP3jxpirjDEXGWPu6Mz1RfoqJW8indBdhdJhx19qjPleJ/b/mzHmc+2cY6kxJs4Y87oxpt/M4SgiIjHlX0Qm+G5tUXT9MTHGTAO81todx7K/tbYOeAG4tNU50oBTgKeBZ4CLjTFJxxqDSF+l5E2kc7pcKLXjG0Bnkr8OY7DWBoCXgE90IR4REZHj9R/gImNMPIAxJg8YDrxpjDkjeoPxv8aYDcaYPxpj2vst+kngieYFY0ytMeZnxpjVxphlxpj50ZupO4wxF0d3O7xs/DjwnLW23kYmNX4VuKjb361IL1PyJtI5RyuUXjPGPGyM2WKMudMY80ljzApjzFpjzLjDT2aMmQg0WWtLo8t/M8b8wRjzSrRQOt0Yc58xZqMx5m/Rw5YBk40xw6LHJAFnA49Htz9OpOATERHpVdbaMmAFcH501SLg39EECmA+8FVgBjAOuKyd05wMrG61nAy8aq2dC9QAPwbOIZKg/TC6z3PAXGNMRqvrtr6xugo49fjfmUjfoORNpBOOoVCaBdxCpFD6FDDRWjsf+AvwxXZOeTKw5rB1Q4CPAF8GngJ+DUwDZhhjTrDWhoHHgKui+18MvGKtrYkurwPmdeV9ioiIdEHrWrDDk6gV1tod0bLsX0SaNh5uGFDSajlAJDkDWAu8Zq0NRl/nAURbnjwJXGGMyQROINKUslkxkZutIjFNyZtI5x2pUFpprd1vrW0CtnOw4GgpYA5zeAEF8FQ0GVwLFFlr11prHWB9q3N0GEO0QAwYY1I7/9ZERES67HHgLGPMHCDRWtv6JqU9bN/DlwEagIRWy8FWN0kdoAkgWja27uPdXDZeATwRTfCaJUTPKxLTlLyJdN7jdFwoNbV67bRaPryAaXZ4AdX6HK2PP/wcbwHDjDGzgIXA0sPOEQ80HvWdiIiIdDNrbS2RPmb30bZP+HxjzJhoX7dPAG+2c4qNwPjjuPQrwATg5nauO5FIyxSRmKbkTaSTjlIoddZxFVDRO5APA38HllprWxK1aHv/ksPuOIqIiPSmfxHpSvDQYevfAe4kkkjtBP7bzrHPAGd09oLRmrhHgQzg9cM2nxk9r0hMU/Imcnw6KpQ663VgtjHGdGMMZ9K2Jk5ERKTXWGv/a6011tpNh22qt9Z+wlo71Vr7P9GE63D/Ac42xnij50ppdd4fWGt/0Wo5pfWB1tpbrLXDW5/XGJNDpKXM2u54byJuMgebEIuIG4wxdxPp57asm873GHC7tXZzd5xPRESkOxhjzgC+Zq096pD90TlVN1pr93TDdecR6Tf3flfPJeI2JW8iLoveETzRWvtkN5wrDlhkrf1H1yMTERERkb5EyZuIiIiIiEgMUJ83ERERERGRGKDkTUREREREJAYoeRMREREREYkBSt5ERERERERigJI3ERERERGRGOBzO4DWMjMzbV5entthiIhIL1i9enWptTbL7ThihcpIEZGB4UjlY59K3vLy8li1apXbYYiISC8wxux2O4ZYojJSRGRgOFL5qGaTIiIiIiIiMUDJm4iIiIiISAxQ8iYiIiIiIhIDupy8GWNGGmNeMcZsNMasN8bcEl2fbox50RizNfo8pOvhioiIiIiIDEzdUfMWAr5qrZ0CnATcbIyZCtwGvGStnQC8FF0WERERERGR49Dl0SattfuB/dHXNcaYjcAI4BLgjOhufwdeBb7Z1euJyABkLU44SEOgnrrGWuqbGmgI1BEMBggEGwmFAoTDQZxwgLATJBwOEnbChJwQjnUI2xBhx8FxHMI2jLU2+nCw1gIWiwXHAg5YACfyZG2r1y3/gz3k1cFNtnnZtt566Cs4uF/7Wzv+HDqnM/t37tzn5H+KMSMmdy4cEZE+IuyEWV+2nqATZGbmTPxev9shiRyTbp0qwBiTB8wG3gVyookd1tr9xpjsDo5ZDCwGGDVqVHeGIyJ9RFV9NbsK17G3aBPFlXsoqyumsqmc+lA1TeF6AraRRkI0mhCNxqHROIQMhIwlYCCIIeAxbr8NaSVry0glb1HGmJHAP4ChgAMssdbebYxJB/4N5AG7gKustRXRY24HbgDCwJestc+7ELrIgFTZWMktr9zCmuI1AIxKHcXPTvsZ0zOnuxyZyNF1W/JmjEkBHgVutdZWG3NsP7SstUuAJQD5+fmdva0sIn2EEw7x/qZXWbntFfZUbKY8cIAyaij2hijztd9CO95jSTKWRMeQYD0kWA9DnDji8OE3PrzGH33E4cePz/jwe/z4jR+fx4/P48Xj8eP1eDEeP8Z48Xh8eIwPr8eDx3jxmciz13jwenwYYzAegzEePHjAAwYPYMB4MAai/wNE9mteNkS2RV/RvNfB/zW0/uoz0Zbpzes6/l5sfZbD1x6+cPTvVtN6n2P8Lu6sWRNP6ZHzxqjm7gNrjDGpwGpjzIvAp4l0H7jTGHMbke4D34x2LVgETAOGA8uMMROttWGX4hcZMKy13PbGbawtXct3T/ouafFp/GrVr7jh+Ru477z7mJY5ze0QRY6oW5I3Y4yfSOL2gLX2sejqImPMsGit2zCguDuuJSJ9Q3VtBc+9/TfWFL7KzlABBb4marzRJM1AhtchMxzHpHA6mSad9KShDEkZSdbgUeRmjmX00PGkp+X0WHIh0luOo/vAJcBD1tomYKcxZhswH3indyMXGXhe2vMSb+17i2+d+C2umnQVACdkncB1z17Hra/eysMXPcyQBI2xJ31Xl5M3E7mVfC+w0Vr7q1abngSuB+6MPj/R1WuJiLv2lezmP6/8Hysr32Wjv4Emj8HjsYzFMCecxcikKUzPXcjCaecwZMhQt8MV6XXH2H1gBLC81WGF0XXtnU9dC0S6ibWW33/we8akjeGqiVe1rM9JzuFXZ/6K65Zex/fe/h73nHnPEVpKiLirO2reTgY+Baw1xrwfXfctIknbw8aYG4A9wJXdcC0R6WWO4/DU6/fy9Ja/sjqumqAxZHkdTgnlMHPYGZx/0qcZnqkflSKd6D7Q3oZ2uw2oa4FI91lbupatFVv5/oLv4/V4D9k2LWMaX5z9RX65+pe8uPtFzs0716UoRY6sO0abfJOOO2Gc1dXzi4g7nHCYB5//Of8pfIjt8Q5JfodTgzmcNfGTfPTkT+P1eY9+EpEBopPdBwqBka0OzwX29V60IgPTk9ufJMGbwHl557W7/dqp17J051L+993/5cRhJ5IWn9bLEYocXXfM8yYi/cyLKx7hE/fm87OSB6nxhvikL5+nLlnG3Te9zMWn36DETaSVY+g+AId2H3gSWGSMiTfGjAEmACt6K16Rgchay8t7XubU3FNJjUttdx+fx8cdC++goqmC37z3m16OUOTYdOtUASIS2ypryvjxv69hmW8vqT7LJ/0n8oUr7yYlqf2CTkSATnYfsNauN8Y8DGwgMlLlzRppUqRnbSrfRElDCaflnnbE/aZkTOHqyVfz4MYH+fiEjzMtQ6NPSt+i5E1EAHj7vaf431XfYnccnBbI5LaL/szIYRPcDkukzzue7gPW2p8AP+mxoETkEG/ufROAU0YcfZqTm0+4med2PsdPlv+E+y+8H49RQzXpO/SvUUT4y1N3cOv7t1Hpdfh61tX87qZXlbiJiEi/saZ4DeMHjyczMfOo+6bGpfLV/K+ytnQtj2197Kj7i/QmJW8iA9zPHvgsvyl7hNyglz+e/jeuu/BbbockIiLSbRzr8EHJB8zKmnXMx1w09iLm5szlrjV3UdFY0YPRiXSOkjeRAewH/7iG+0MrmdmUyF8+sYzp4+a5HZKIiEi32lW1i5pATaeSN2MM3z7x29QGarl7zd09GJ1I5yh5Exmg/u+Bz/KoXcuJjcksuf5V0tOyj36QiIhIjPmg5AOATiVvABOGTOCTUz7JY1sf48OSD3siNJFOU/ImMgD98Ynv8s/gCk5oSuCe618iMSHZ7ZBERER6xAclHzAobhB5aXmdPvbzJ3yerMQsfrz8x4QdDQor7lPyJjLAvLbqMe4rf4wJAQ+/ufpZkpS4iYhIP7a+bD3TM6cf16iRyf5kvj7/62ws38iStUt6IDqRzlHyJjKA7Cvdw0/f/x4JDvz47L8yOPXoo26JiIjEqpATYkflDiYOmXjc5zhv9HlcNPYi/vjBH1l1YFU3RifSeZrnTWQA+d5j11AUB98ZeTNTxs51OxwREZEeVVBTQMAJMH7w+OM+hzGG75z0HdaWruVrr32Nf174T0amjuzGKCMC4QCFtYUU1hSyv3Y/VYEqqpuqqQ3W4lgHi43EgyHBl0CCNyHy7Esg3htPoi+RBG/ktd/rx+/xE+eNO+TZ7/FjotNSNp+vWetlay3N/xf5f9tmvbW25bjD9293vUtMh9Nw9owkXxLjhxz/v7ejUfImMkAsefzbvBtfxcXhcVx+1ufdDkdERKTHbavcBtDlH9PJ/mTu+cg9XPfsdXzuxc/xjwv+cUxzxh1JXbCOt/a+xYoDK1hbupYt5VsI2dAh+yT6Eknxp7Q0+TTG4DgOTU4TjaFGmsJNXYpBut/MIZN54OJHeuz8St5EBoCCop38s/xxxoa9fPtTD7odjoiISK/YVrENg2Fs2tgun2ts2lh+d9bvuOmFm7h26bX87qzfMW7wuIM7WAuBOqgrgbpSqC+DQC001USfaznQUMKrtbt4NVDMinA1QSzJGKbbOK5z4hgf9jMy5DA8GGRwKEhcuAJsKVgHHAdsOPo6DDaMYx2asDQaQ6MxNHgMAWMIEn02RJ+bH4e9qcMqxMxhr1s/WtZb2+62lmULpqWW8NBtvc2N+r6EprQePb+SN5EB4OdP3kS13/CDqd/SACUiIjJgbK3cysjUkST6ErvlfLOyZnHvKT/ni299i6ufvIKbE/JY1BAivnIP1BRBqOGQ/R1gfVwcrycl8mpSIpvi4wAYHYZPhv2cYeOZ5UnC500AfxwkxIMvjiB+mqyPWush4BgawxAIQ1MYGsOGQBiC1hBwDCEHAk7kdbD5dRhCFsJOJNcLW3CsxSGSAzoWwtbi2MhrOJjo2JZmlYemW62XD+7T/jG2g+MGgsH+YfTkrLlK3kT6uZdWPMrr/gOcGczirJMWuR2OiPQBmZmZ5OXluR2G9FO7du2itLTU7TCASLPJrvR3AyK1aNuWwdYXYNdbzKg9wENeLz/OTOcXdhv3WsNHMjOYOmo6aYmZ1PsTKDIOmxpLeK9qK+WBajzGwwlZs/jKyDM5Pfd0BvlGsKu0jh2ldbxUWsfeygaKqhsprm6iqLqRukDH0xIYA8lxPhL8HuJ9XuL9HhJ8XhISIssJfg8Jfi9+rwefx+Bt9fB5DJ7oc/PDawxejwef1+AxBo85eB2DwbQsR16Ylm2RdS3bowc1b4+sM632bdX/zHRfTVxzXN1yrm44R3pyXDecpWNK3kT6ub+8/xNSfZavXvQnt0MRkT4iLy+PVas0ap70jPz8fLdDACAYDrKneg9njzq78wdbC9teglX3wZbnIs0Vk7Ng7BkwfA5Dh5/Ab7KnsbJyMw9tfogX9i3n0eoPofrgKUYPGs3C3NOYkjaf+NAUdhywvPB2Fb/et5Xqxo0t+/k8hmGDExg6KIEpwwdxxqRssgfFk5EcR1qin0GJfgYl+ElL8jMowUdynA+PZ2DVZslBSt5E+rFHXvot6+KDXOU5gZHDjn+YZBERkVizv24/YRtm1KBRnTtw15uw7AdQuDKSsC38Akz7OAydBZ6Ds2wZYH7ifOYPm0/YCVPSUEJNoAZj4/lgd5CVO+p4851S/lXeAGwnzuthyrBULpo1nPFZKYzJSmZMRjK5QxLxeTV7lxwbJW8i/ZTjODy8/S9keB2+eNXdbocjIiLSqwpqCgDITck9tgOaauD5b8Gaf8CgEfCxe2DW1eA7ejO4sGNYtd3h6Q+qeWVzMU0hh9QEHwvGZnDjKWOZO3oIE3NSifMpSZOuUfIm0k89vOweNsWHucaXr8m4RURkwCmsKQQ4tjnZKnbDg1dByWY4+VY44zbwH32QkwNVjTz47m4eXFFAaW0TWanxLJo3kgtnDGPu6CGqUZNup+RNpJ96euc/GeJz+Pzlv3Y7FBEROQaOddhft5+dVTspqitqmaS5LliHx3jwGA9e42VQ/CAGxw9mcPxgcpJzyE3JJT0hvVsHbugPCmoKiPfGk5WUdeQdSzbD3y6CcBNc93ikX9tR7K9q4Lcvb+PfKwsIW8tHJmXzqQWjOXVCFl71R5MepORNpB968/2n+SAhwMXOJNJS0t0OR0RE2lEfrGdN8RpW7F/BygMr2Va5jcZw4yH7+Dw+knxJWCzWWkJOqM0+AEm+JEYPGs3k9Mktj0npk0j2D9zpYQprCxmRMqJlgut2Ve6Bf1waeX3Di5A16YjnbAyG+d0r2/jT6zuw1rJo/kgWnzqOURlJ3Re4yBEoeRPph/618pfE+Sw3nP1Dt0MREZFWguEgr+99nSe3Pcnre18n5ITwe/zMzJrJlZOuZEzaGMamjWVY8jAGxw8m0ZfYpkYtEA5Q2VRJRWMF++v2U1hTSGFtITsqd/Bqwav8d9t/W/YdkzaGOdlzmJMzhznZcxiRMmLA1NAV1BQcuclkoB4e/AQE6+DTS4+auL2xtYRv/3cde8rrufSE4Xz13EmMTFfSJr1LyZtIP1NYvJN3fSWcFBzC2JHT3Q5HRPqIJUuWsGTJEgBKSkpcjmbgqWis4B8b/sGjWx6loqmCjIQMrp58NaeMOIXZ2bM7NYl0nDeO7KRsspOymZR+aMJhraW4vphN5ZvYWL6RtaVreWH3Czy69VEAspOyyc/JZ+HwhSwYvoDspOxufZ99hbWWgpoC5g+d3/FOS78OxRvh2v/A0I7Ly0DI4ZcvbOZPr+9gbFYyD950IgvHqS+5uEPJm0g/88CLP6LJY/jY9P/ndigi0ocsXryYxYsXA31nHq6BoKyhjL+v/zsPbX6IxlAjZ406i49P+DgLhy/E5+n+n2HGGHKSc8hJzuH0kacDkb50Wyu2sqZ4DWuK1rB8/3KW7lwKwPjB4zlp2EksHL6QuTlzSfL3j5qk8sZyGkIN5KZ2MNLklufh/fvh1K/B+I7ngSuuaeRz/1zNe3sq+eSJo/juRVNJ8Ht7KGqRo1PyJtLPvFO3ijwD5560yO1QREQGrLAT5t+b/809791DQ6iBC8ZcwOIZixk7eGyvx+IxHialT2JS+iSunnw1jnXYUrGFd/a9wzv73uHhzQ9z/8b78Xv8zM6ezYLhC1gwfAFT0qccub9YH9Y8TUC7zSYDdfDM1yBzEpz+zQ7PsflADZ/920rK6wL87po5fHTmsJ4KV+SYKXkT6UdeWvEo2+Mti7yz8Xhis8AVEYl1m8o3ccfbd7CubB0Lhy/ktvm3MSZtjNthtfAYT8ugJp+Z/hkaQ42sKV7D8n3LeXvf29y95m7uXnM3g+MHt9TKLRi+gKHJQ90O/ZgV1kamCWh3jrd3fgdVe+Azz3Y4h9sHBZVce++7JPq9PPy5BczITevJcEWOWY8nb8aY84G7AS/wF2vtnT19TZGB6qkPl+D3Wa4981tuhyIiMuBYa/nr+r9yz5p7GBw/mJ+d+jMuGHNBnx8gJMGXwMLhC1k4fCFf4SuUNpSyfP/ylpq553Y9B0QGP2neLz8nv083sWye421E6ohDN9SXw9u/gckXweiF7R7bnLgNTvLzr5tOIndI332fMvD0aPJmjPECvwPOAQqBlcaYJ621G3ryuiIDUSgY4H1TyKymJEaPmOx2OCIiA0pVUxXfees7vFrwKueMPofvL/g+afGxWVuTmZjJRWMv4qKxF2GtZVvlNt7Z9w5v73+bR7c8ygMbH8Dn8XFC1gksGL6A+UPnMy1jGn6v3+3QWxyoO0BmYibx3vhDN7zzW2iqgQ5ucm4rruFT0cTtocULGDH42AeSEekNPV3zNh/YZq3dAWCMeQi4BFDyJtLNnnrjz5T5PFwx5Ey3QxERGVA2l2/mllduoai+iNvm38Y1k6/p87Vtx8oYw4QhE5gwZALXTbuOpnAT7xe/z9v73uadfe/wm/d+A0C8N54ZmTOYmzPX5YgjDtQfICcp59CVTbWw4i8w9WLImdbmmNLaJj7915XE+bw8eONJStykT+rp5G0EUNBquRA4sfUOxpjFwGKAUaNG9XA4Iv3Xq9v/S7zPctWZt7odiojIgLHywEq+9PKXSPIn8bfz/8asrFluh9Sj4r3xnDjsRE4cdiJfnvtlyhvLea/oPVYXr2ZN0Rr+vPbP+HG/Bq6orohRqYf9rvzgX9BUBQu+0Gb/QMhh8T9WUVrbxEOLF2j+Numzejp5a++2kz1kwdolwBKA/Px8287+InIUwVCQDzz7mRFIJnvIcLfDEZFjoD7hse+l3S/xjde/QW5qLn86508xNaBHd0lPSOes0Wdx1uizAKgL1nH6Pae7HBUU1Rcxb+i8gyushRVLYPgcyJ3XZv87n93Emj2V/P6Tczhh5ODeC1Skk3p6OLpCoPUYrbnAvh6+psiA89Rbf6fM52F+xiluhyIix6BVn/ALgKnA1caYqe5GJZ3x363/5SuvfYXJGZP5+/l/H5CJW3uS/cluh0B9sJ6aQM2hzSb3roHSLTD303BYk9YXNxRx31s7+fTCPC6coekApG/r6eRtJTDBGDPGGBMHLAKe7OFrigw4y7c9hs9aLj39S26HIiLHpqVPuLU2ADT3CZcY8PSOp/n+299nwbAF/PmcPzM4YbDbIUkrB+oPAJCT3Cp5++Bf4EuAaZcesm95XYBvPvoh04YP4vYLNdiX9H092mzSWhsyxnwBeJ5Is5D7rLXre/KaIgPRJmcPE8NxDMvKczsUETk2R+0TDuoX3he9vOdlvvPmd5g3dB53nXkXCb4Et0PqftZCYyXUlUJdCTRUQGPVER6VkeemGgg2cGijq95XVFcEcLDmLRSAdY/CpAsh4dARQH/41HpqGoP866aTiPd5eztUkU7r8XnerLVLgaU9fR2RgWrtlrfZGWe4wuiOoUgMOWqfcFC/8L7mnX3v8LXXvsbUjKnc85F7Yi9xszYyz1lVAVTvharCyOva4kiSVlcSTdhKwQl2fJ74QZEkqPmRNhJypkNcCsQlwePu/uwrqo8kb0OTok1Zd7wCDeUwa9Eh+72yqZjH39/HLWdNYNLQ1N4OU+S49HjyJiI969nVfwPgzOlXuxuIiHSG+oTHmC0VW7jllVvIS8vjD2f/oU/07WpXKAAVu6BsK5RtizwqC6KJWiGEGg7d3xsPqTmQnAWDRsCwWZCcHVlOzoLkDEhMPzRZ8xylhup2l5O3aM1bdnJ2ZMWmpyEuFcYenEqnKRTme0+uY0J2Cp8/c5wbYYocFyVvIjFuXfX75PgcTpl1oduhiMixa+kTDuwl0if8GndDko5UNVVxy8u3kOJP4Y9n/7FvTL7tOFC5C/Z/CAfWQtG6yIAcFbvBhg/ul5QJQ0ZDzlSYeB6k5R58DMqF5Mw2A3jEuqL6ItIT0iMTdDsObH4OJpwNvriWff7+9i4Kyhu4/4YT1VxSYoqSN5EYVt9Yx+a4OuYHs/B4VfiIxAr1CY8dISfE11/7OkX1Rfz1/L+SnZTd+0FYG2neWLAi8jjwIRxYB4GayHbjhcyJMHQmTLsMMidAxnjIGAeJQ3o/XpcV1Rcd7O+2dxXUFcOkj7ZsL68L8JuXt3HGpCxOmZDpUpQix0fJm0gMW7b8Aeo9HqZmLXQ7FBHpJPUJjw13r7mbd/a/ww8X/rD3JuC2NtLccfvLsPttKHgXavZHtvmTYeiMSP+toTMij+yp4O/d/neBkENBRT27SuvYXVbP3soG9kUfbiuqK2JYcnTI/y3PRZLbCWe3bP/Ny1upawrxrQunuBShyPFT8iYSw1buegEMnHvip90ORUSk33lmxzP8bf3fWDRpER+f8PGevVh9Oex4NZKwbX8Fqgsj69NGwuiTYdRJMHI+ZE8Db+/8fGsKhSkob2BXaR27yiKP3WX17CytY19lA06rIXQS/V5GDElk+OBE9vZKdB0rqi/ihOwTIgs7XoPc/JYayOLqRh54dw9XzM1lYo4GKZHYo+RNJIZtC+xgtIFxwye6HYqISL+ysWwj33/7+8zNmcs35n+jZy5SvQ82Pg0bn4Tdb4F1IgOCjDkdTvtqZICN9DE9c+1WmkJhdpbWsflADVuLatlSVMPW4lp2l9UdkqANSvAxJjOZuaOHcNmcXMZkJjE6I5nR6UmkJ8dhon3n8n/f4yF3qCncRGVTJVmJWZHpC/atgVO/1rL9L2/uJBR2+PwZ490LUqQLlLyJxKja+hq2+gOcHBrqdigiIv1KXbCOr732NdLi0/jl6b/E7/F348nLYO0jsO4/ULgysi5rMpz6VZhwHgyf3aM1a6W1TazdW8X6vVVs2F/N5gM17CqrJxzN0rweQ15GEpOHpvKxmcMYk5VMXkbkMSQ57ihnd19ZQxkAWUlZsPudSEI85jQAKuoC3L98NxfPGk5eZh8dLVTkKJS8icSo51f8iyaPYXpWm3l9RUSkC3767k8prC3k3nPvJSMxo+snDAdh64vw/gOw5fnIHGpDZ8JZ34PJH4Osnmk9UVTdyNrCKtbtq2Ld3mrW7a3iQHVjy/bRGUlMyknlgunDmJCTwsScVMZmJcf06IulDaUAZCZmwrrnwJcAufMA+OtbO6kPhPn8map1k9il5E0kRr23exkA5+Zf63IkIiL9xyt7XuGJ7U+weOZi8ofmd+1ktcWw6q+w6l6oLYrMm3bi5+CEayBnWvcEHBUIOWzYX83q3RWs2VPBmt0V7K+KJGrGwLisFE4am870EWlMH5HG1OGDGJTQjTWKfURz8paRmAE7X4eRJ4I/gaZQmPvf3cPZU3LU101impI3kRi1p3EHuV7L6FyNliUi0h0qGyu54507mJw+mf+Z+T/Hf6L9H8K7f4w0jwwHYPw5MO8GGH82eLsnYaoPhFi5q4J3tpexenc5HxZW0RRyABgxOJH8vHRmjxzMzNw0pgwbRHL8wPjJ11Lzhg+K1sJHvgPA0rX7Ka8LcP3C0W6GJ9JlA+MvWaSfccIhdvobmBrqhuY8IjIgLFmyhCVLlgBQUlLicjR90/+u+F+qAlX86Zw/4T+eJKtgJbx2J2xbBv4kmHN9pKYtc0KXY2sMhlmzu4K3t5fxzo4yPiioJORYfB7D9BFpXHvSaOaOHsKcUUMYmta70wb0JWWNkT5v6aU7IytGngTAP9/ZzZjMZE4ep3ndJLYpeROJQavWv0Sl18O4pO5tdiMi/dfixYtZvHgxAPn5XWwO2A+9uPtFnt35LF844QtMSp/UuYMLVsKrP4XtL0FieqQvW/5nuzRBtrWW7SV1vLq5mFc3l7BiVzmBkIPHwIzcwdx46lgWjssgP28ISXH6OdesrKGMIfFD8O97D4wHhs9m3d4q1uyp5LsXTcXjMW6HKNIl+msXiUHLN0fm9c0ff67LkYiIxL7yxnJ+vPzHTM2YymdnfLYTB+6AZT+ADU9AUgacfQfMuxHiU44rjoZAmOU7ynhlczGvbC6moDwy4fWE7BSuO2k0C8dnMC8vndR+2Fetu5Q2lEb6u+1dBVlTID6FB95dS4LfwxVzc90OT6TLlLyJxKBtlWtJ8jmcMvNCt0MREYl5v1z1S6oD1fzl3L8c27QADRXw+i/g3T9F+rCd8S1YcPNxJW3VjUFe3ljMs+v289qWEhqDDol+LyePz+Bzp43jjElZ5A5JOo53NTCVNpRGRprc9CJM+RiNwTBPf7iPC6cPIy1RSa/EPiVvIjFoF6WMDcYRFxfvdigiIjFt5YGVPLn9SW6acRMThhylb5q1kUFInrsd6stg9ifhzO/AoGGdumZFXYAXNxbx3LoDvLm1lEDYITs1nqvyR3LO1Bzm5aWT4I/d4frdVNpQyuy08ZEEe0Q+r2wqpqYxxMfnjHA7NJFuoeRNJMaUV5eyx+9wvjPK7VBERGJaMBzkx8t/zIiUEdw086Yj71y+E575Cmx/GUbMhU89BsNmHfO1GoNhXtxQxGNrCnl9aylhxzJicCLXLRjNBTOGMnvkEPXH6iJrLWUNZWQmjoysGDGX/76wl6zUeBZqoBLpJ5S8icSYN997nLAxjM+c43YoIiIx7e8b/s6Oqh389iO/JdGX2P5OjgPv/gFe+hF4fHDB/0WG/fccvWbMcSyrdlfw2JpCnvlwPzVNIYalJXDTqWO5cMZQZoxIwxglbN2lLlhHY7iRzPoK8CdTmTKOVza/wvUL8vAqMZZ+QsmbSIzZWPgmAPOmfNTlSEREYte+2n386YM/8ZGRH+H0kae3v1P1Pvjv/8DO12DiBXDRr2DQ8KOfu7KBh1YW8N/3CikobyApzssF04dx+ZwRnDQ2QzVsPaRlgu6aYhg6g2fWFxMMWy6drSaT0n8oeROJMQV1O0j1OcwYN8/tUEREYtYvVv0CYwy3zb+t/R3WPw5P3RKZZPtjd0fmbDtCLZnjWF7fWsL9y/fw8qYiLHDK+Ey+cs5Ezps2VMP594KWCbrLC2DyZTzz4X7GZSUzbfgglyMT6T76JhGJMXupZFQoHo/H43YoIiIxaXXRal7c/SKfn/V5hqUcNthIKADP3w4r/wLD58Blf4bM8R2eq7I+wEMrC3jw3T3sKa8nMyWO/3fGOK6eP0qjRPay0sZozVtjDfVDJvPuW+X8z+lj1TRV+hUlbyIxpL6xlj1+h9OdHLdDERGJSY51+PnKn5OTlMOnp3/60I3V++Dh66FwBSz4Apz9g8hUAO3YXVbHfW/u5OFVhTQEw5w0Np2vnzeJ86YNJc6nm2tuKGsoAyAzHObdumGEHcu5U4e6HJVI91LyJhJD3vnweQIew5hBU90ORUQkJj21/Sk2lG3gp6f+9NBBSna/HUncAnVwxX0w/fJ2j1+zp4I/v76D59cfwOsxXHrCCG48dSyThqb20juQjpQ2lOLDkOY4/HffIIYOCjIzN83tsES6lZI3kRiydtdrAJww5kyXIxERiT31wXruWXMPMzJncOGYCw9ueP9BePKLMPj/s3ff8W1VZwPHf0eSJe+9EzvO3gPiDBJGmGFvaBgFCtRA6QulLQVKectLoUDLKIU2EPYOFMomjABhhiROyN7bTrynvDTP+4dkx4lHPGRf2X6++egj6Z577n2k2L56dNYQuPJ9SB57UD2tNUt3lvHY4m0s21VOdKiF648bzlWzskiODu3lVyHaUtFQQSxmiM3is+21XJydIV0mRb8jyZsQfcju6s3YzJoZE042OhQhhOhzXtzwIsX1xTw852FMyuRbdPvrv8GSv8LQ4+DilyAstmn/xqTtH4u3sXxXOclRNu46cxzzpmUQYZOPUMGm0lFJrMdDacRIGgq9nDxOhhiI/kf+8gjRh+z3lpDpNWG12owORQgh+pTyhnJe2PACJw85mSnJU3wTk3z4G1j9Kky+1DejpMXatP/SHWU8ungry3eVkxJt4+6zxjFveiahIYdf300Yo6K+jDhnPRvJICzEzPSh8UaHJETASfImRB/h9XjItzg5wpNodChCCNHnPL32aRo8Dfz6iF+Dsw7euBx2fAFz7oDjbmtaBmBbkZ37F23my83FpETb+L+zx/OzaRmStPUBlXXFDPd6+ao6mZnD4rFZ5P9M9D/dSt6UUn8HzgKcwA7gF1rrSn/ZHcA1gAe4SWv9afdCFWJg25G3HrvZRFrIEKNDEUKIPqWgpoA3trzBOcPPYVhoErx2Mez+Ds5+HI68AoDi6gYeXbyVN1bkEWGzcPtpY7hqVpYkbX1IpaOSOI+Hr6sSuOyYJKPDEaJHdLfl7XPgDq21Wyn1IHAHcJtSahwwDxgPpAOLlVKjtNaebp5PiAHrp21fAjAsebLBkQghRN8yf818AG4Ycxm8fD7sWwkXPAMTL6TB5eHJr3ew4JuduDxerpyVxf+cMJL4COthjiqCiVd7qXTXE+vR7NUpHDtKkjfRP3UredNaf9bs6Y/Ahf7H5wALtdYOYJdSajswHVjanfMJMZDtLF4LwJSRc4wNRAgh+pCdlTt5b8d7XDbiAtLeyoGiDXDRCzDubL7aXMz/vr+evPJ6Tp+Yym2njmFIQoTRIYsusDvteNGEEEFSbDTDEuX/UfRPgRzzdjXwhv/xIHzJXKN8/7YWlFI5QA5AZmZmAMMRon/ZX7eHCIuXMUOmGB2KEEL0GU+sfoJQs41r1y+G4s0w7zX2Jx/D/72cy6cbihieFMFrv5zBrOEynrgvK28oB6DGFcMxIxNliQDRbx02eVNKLQZaW57+Tq31e/597gTcwKuN1VrZX7d2fK31AmABQHZ2dqv7CCGg2FvOIJcFk1nGXwghREesL13P53s+5wYdTXzhBjwXvcwzBcN57JWv8WrNrXNH88tjhmG1mIwOVXRTZb0veat0JTBzWILB0QjRcw6bvGmtT2qvXCl1JXAmcKLWujH5ygcymu02GNjf1SCFGOi01hRYXIzzyAVJiGDSlYm7lFJTgReAMOBj4OZm108RQE+sepxYTFyxZyP7T3qC6xZHs27fZk4ck8zdZ48nIz7c6BBFgFRUbAeg3J0qSwSIfq1bXzUppU4FbgPO1lrXNSt6H5inlLIppYYCI4Hl3TmXEAPZzvzNlFtMpIVlHH5nIURv+hyYoLWeBGzFN3EXh0zcdSrwb6VUY7P5fHzDBUb6b6f2dtADwbri1Xxf8ANXlZeRO+pO5nwcT35FHf+69EievWqaJG79TGW5L3lzhQ4jPTbM4GiE6DndHfP2BGADPvf3Lf5Ra3291nqDUupNYCO+7pQ3ykyTQnTdT1t9M00OTZxgcCRCiOY6O3GXUmo3EK21XgqglHoJOBdY1GtBDxDzv/gtsR4Pbs8FXLVmLHPHJ3HvuRNJirIZHZroARWVewBIHjTV4EiE6FndnW1yRDtl9wH3def4QgifncVrAJg07FiDIxFCtKMjE3e5/I8P3d6qQE7qtWDBAhYsWABASUlJt44V7NZ9dTffOks4ujKdf9eewWPzxnP25HSZxKIfK6zMx+bVTB411uhQhOhRgZxtUgjRQwpqdxFq1owfPt3oUIQYcAI8cVeHJ/SCwE7qlZOTQ05ODv5jdedQQa1+3fs8ufkVwmzhVEbdzmfXHk1KdKjRYYkeVl5XSqRSTB8qY8NF/ybJmxB9QIm3gjStsFhCjA5FiAEnwBN35fsfH7pdBMD21d9Q/fH1fDMogRlRF/LUuSdiNklr20Bg99RiM9kYkiBjGUX/JnPjCtEHlJgaSPTKBUmIYNPZibu01gWAXSk1U/n68F0BvNfrgfdD736TS9Q7V/BkbCzh5ggePfMWSdwGCo+LWuUiwhQhXWNFvyfJmxBBrsFZR7EFEiyygKwQQegJIArfxF2rlVJPAmitNwCNE3d9wsETd90APANsx7e8gExW0g0uj5d73vmJjMXXUxjqYmmEmasmXkmUNcro0EQvsZfspsJsIsoqSwSI/k+6TQoR5NZv+xG3UqRGZBkdihDiEF2ZuEtrnQvI1LEBUFHr5FevruKMvX9jqmUbvxk3l6jafC4be5nRoYletHfbRipNZsZGtTY0VYj+RVrehAhym/euACArabzBkQghRPDYUmjn7H99x9C8t7nc8gU7p1/Dl5WbuWTsJURbo40OT/Sigj2bsJtNZCZnGR2KED1Okjchglxe+SYAJg6bZXAkQggRHH7YXsoF839guGML94a8AMNP4PnocGxmm7S6DUDlpVsASI3PMjYQIXqBJG9CBLmi+n2Ee72MyJxodChCCGG499fs58rnlzM6xsMz4Y9jik6l8LT7+XDXR5w/8nziQ2Xc00CitcZRtxeA2DD5vxf9nyRvQgS5Mk8FKW4TJrPZ6FCEEMJQz3y7k5te/4kjMmJZmPoKltpiuOgFXtz5Hlprrhx/pdEhil5WWN1ACKUAxNniDI5GiJ4nyZsQQa7E3ECilmUChBADl9aahz/bwr0fbeK0Cam8OnkdIVs/gpPupjJhOG9ve5vTh55OemS60aGKXrZhXzU2SxUAsaGxxgYjRC+Q5E2IINbgqKPIAomyTIAQYoDSWvPAos08/uV2fpadwRPHmwlZ/CcYOReOupHXN79OvbueqydcbXSowgA79+bjMrsAaXkTA4MsFSBEENu4YwVupUgJH2J0KEII0eu01tzz4Uae/343l8/M5J65QzA9PQfCE+Hc+dS563l186vMyZjDiLg2V20Q/VjZvq1os68tItYWa2wwQvQCSd6ECGLb9q0GYHDCKGMDEUKIXqa15u73N/Di0j1cPXsod505FvX+r6FiF1z5AUQk8PbGl6lyVHHNhGuMDlcYpKFkFxXhZqIs4YSYQ4wOR4geJ90mhQhi+8q3AjBi0BRjAxFCiF720GdbeHHpHn55jD9x27IIfnoFZv8Gso7G5XHx4oYXyU7JZkryFKPDFQaoc7qx1OyjwmwiNlS6TIqBQZI3IYJYSV0+Jq0ZMzTb6FCEEKLXPPX1Dv711Q4umZ7JH08fi6orgw9ugpSJMOcOAD7c+SFFdUVcM1Fa3QaqzYV20imjwhxCnCwRIQYI6TYpRBCrcJWRYNZEhEUaHYoQQvSK15fv5f5FmzlzUhr3njsBBfDBzdBQBVe8DxYrXu3lufXPMSZ+DLPTZxsdsjDIpoJq0lUpFSE2kqXlTQwQ0vImRBArp4YEj/ThF0IMDJ9tKOSP76xjzugkHrl4CmaTgtWvweYP4YS7IGUcAF/t/Yrd1bu5ZsI1KKUMjloYZVNBNYPN5VRZzDJZiRgwJHkTIoiVm1zEEWF0GEII0ePW76vi5oWrmTQohvmXTcVqMUFlHiy6DYbMhqNuBHwTmTyz7hkyojI4achJBkctjLS1qIbBpnIq8coyAWLAkORNiCDV4Kij1KKIs0g/fiFE/1ZY1cC1L+YSFx7C01dmE2Y1g9bw4W9Ae+Hcf4PJDMDywuWsL1vPVeOvwmKS0R8DWV5xBaG6knq8skC3GDAkeRMiSG3atQqPUiSFDzI6FCGE6DF1TjfXvrQCe4OLZ6+aRnJUqK9gzeuwfTGc9GeIy2ra/9l1z5IYlsg5I84xJmARFCrrnITUFVJl8n2UlZY3MVBI8iZEkNrhX+MtPW6ksYEIIUQP0Vpz63/WsnF/Nf+85AjGpkX7CuyF8MntkDETpv2yaf8NZRtYWrCUn4/7OTazzaCoRTDYUVLDIFVKReMC3dLyJgYISd6ECFL5pb413oanTzQ4EiGE6BnPf7+bj9YV8IdTx3Di2BTfRq3ho9+BqwHOeQJMBz6qPLvuWaJCorh41MUGRSyCxY7iWv8yAb7utNLyJgYKSd6ECFIltXkAjBs23eBIhBD9wYIFC8jOziY7O5uSkhKjw2HV3gr++vEmTh6XwnXHDjtQsPFd3+ySx98BiQd6Huyu2s3iPYuZN2YekVZZPmWg215SQ4a5jAqTtLyJgUWSNyGCVLm7lAS3l6iIWKNDEUL0Azk5OeTm5pKbm0tSUpKhsZTXOvn1q6tIiw3loYsmH5juv74SPv4DpE2Bo/7noDrPb3geq9nKZWMv6/V4RfDZUVzDqLBqKsN8XW3jbTK5lxgYZJomIYJUha4hwSO/okKIwCuqbuCRz7Z0qo7JpLgoO4NBsWHdOrdvnNsaSmucvH3DLGLCmq1l+dV9UFcKl70J5gN//wprC3l/x/tcMPICEsISunV+0T/sKKkhy1LOzrAYTMpBlDXK6JCE6BXyyVCIIFVudpHplYuRECLwiu0OHv9qe6fqaA0uj5db547p1rlfX57HF5uL+fNZ45g4OOZAwf6fYMUzMO1aSD/ioDovbngRrTW/mPCLbp1b9A8Ot4e95XWkxJZSaYslxhKK2b+UhBD9XUCSN6XU74G/A0la61L/tjuAawAPcJPW+tNAnEuIgcDr8VBqgYnumMPvLIQQnTRxUAy595/RqTrZ9y6mvNbZrfPuKavl3o82MntEAlcelXWgwOuBD38L4Ylwwp8OqlPRUMHb297mjGFnMChSlk4RsKesDq/WxLiKqLAkExsaanRIQvSabidvSqkM4GRgb7Nt44B5wHggHVislBqltfZ093xCDAR7CrbiUop4W7LRoQgh+qOCNXBvaqeqfOPWvF5yKzCpS6f0eDW/fXMNFpPioYsmYzKpA4UrX4D9q+D8ZyD04C+tXt30Kg3uBq6ZcE2Xziv6n92ltURTi8VdR6VJyUyTYkAJRMvbo8AfgPeabTsHWKi1dgC7lFLbgenA0gCcT4h+b3v+OgCSojIMjkQI0S9FJMH0ziVDlh/mM8i+vsunfPa7nazcU8Fj86aQFtNs3FxNMXzxfzD0WJh44UF1apw1vLb5NU7MPJFhscMQAmBveR3pqhyACjxk2GKNDUiIXtSt5E0pdTawT2u9pmmmKJ9BwI/Nnuf7t7V2jBwgByAzM7M74QjRb+wr863xlhYnH1aEEIHnikyicPaNnapTmbuQEFdVl86XV17Ho59v46SxyZw9Of3gws//F5x1cPrDcPBnCd7c+iZ2p51rJ17bpfOK/imvvI4sWzUAlZ4GJoVKy5sYOA6bvCmlFgOt9a24E/gjcEpr1VrZpls7vtZ6AbAAIDs7u9V9hBhoiqv2ADB0kCzQLYQIvK0VWzn5rZM7V2lQKPMqijmxk+fSWvO/761HKfi/cyZw0Je9u7+DNa/DMb+DpFEH1WtwN/DShpc4Ku0oxieO7+RZRX+2t7yOyRE16FqocNUSKy1vYgA5bPKmtT6pte1KqYnAUKCx1W0wsEopNR1fS1vz/l6Dgf3djlaIAaK8oQiTSTM8Y4LRoQgh+qH0iHTuPuruTtV54Pu7KTXXd/pcH68r5KstJdx15riDlxlwO+Gj30FsJhzz+xb13tv+HmUNZfxy0i87fU7Rv+0tr+M8m52aOoVbu4mTljcxgHS526TWeh3QNJuCUmo3kK21LlVKvQ+8ppR6BN+EJSOB5d2MVYgBo9JdQbxZE2YLNzoUIUQHdGbWZaXUVOAFIAz4GLhZa92rPU/iQuO4YNQFnarz7+/+QoNydapOjcPN/32wgQmDornyqCEHF/74byjZDJe8AdaD/9a5vC6e3/A8k5Mmk52S3alziv7N69XkVdQzOL2Kyghf0iYtb2IgMfXEQbXWG4A3gY3AJ8CNMtOkEB1XrWuJ88iaNUL0BR2YdflU4N9KqcZf6vn4xnqP9N9O7dWAuyicEJwmD063t8N1nlyyg2K7g7+cMwGLudlHjsq98PWDMPoMGN3y5X+y6xP21ezjlxN/ySFj6sUAV2x34HR7SaKCisgkAGl5EwNKwJI3rXVW47eN/uf3aa2Ha61Ha60XBeo8QgwElSYnMTrs8DsKIYJB46zLzVvPmmZd1lrvArYD05VSaUC01nqpv7XtJeDc3g64K8JMIThMXuwNHWt921dZz9Pf7uTcKekckXnIh+tP7vDdn/ZAi3pe7eWZdc8wMm4kxw4+trthi35mT1ktADGecirDYwFkqQAxoPRIy5sQonvKLJpoU5TRYQghDqP5rMuHFA0C8po9b5x1eZD/8aHb2zp+jlIqVymVW1JSEqCouybcFEq9SVNd37Hk7e+fbAbg1lPHHFyw5RPY/CEc9wffeLdDfLn3S3ZW7eTaCddKq5toYW95HQDhjmIqQn3XydjQWAMjEqJ3BWKdNyFEABWV5VNnMhFrTTQ6FCEEAZ91ucOzMUNwzcgcaQ6n0GSipqYakiLb3Xd1XiXvrt7Pr48fcfAkJc46WHQrJI2BmS2XKvBqL/PXzGdI9BBOyWrtbRUDXV55HWblxVxbTKV1KtRLy5sYWCR5EyLIbMvzfYGfGJF+mD2FEL0hwLMu5/sfH7o96EWGRGJ3KOqry/HNRda2BxZtIjHSyvVzhh9c8O3DvvFuV30EFmuLeov3LGZrxVbuP+Z+LCb5iCJayq+sZ3SUE+X0UGEOwWKyEBESYXRYQvQa6TYpRJDJK/J1NUqNlQW6hQhmWut1Wutk/5jvLHyJ2ZFa60LgfWCeUsqmlBqKf9ZlrXUBYFdKzVS+jO8K4D2jXkNnRNmiqTWZaLCXt7vfDztK+XFnOTceP4JIW7MErHQbfP8YTJoHWUe3qNfY6jY0ZiinZZ0W6PBFP1FY1cCYCN+4t0qTIs4WJ91rxYAiX2sJEWQK/Qt0Z6aMNjgSIURXaa03KKUaZ112c/CsyzdwYKmARf5bj7vng428scI3Iabd7uBfX21vKuvIR9/iagsepfhm0xbWu9JbraS15vXleUTaLNQ0uJi/ZHtjAWetuYEkUyivR15D/ZIdLepur/uO7ZXbOTnxtzz97e7DxtOVj+vtf8bv/BHbrNFGQZdibrcwOGPeUmhnzt+/av14bcTc1nnmjE7mf88a1/S8oKqBo6NroALK8ch4NzHgSPImRJCprC8CYNjg8QZHIoToDH/rW/Pn9wH3tbJfLjChl8JqMi0rDpP/E/Ir/zUzcVCML572KjUrtNckQTlEh9gZlx7d6u4b9leRX1HP5TMzmTg4tml78u4PGFy5gq3Zd5M1JOvgU2jwag9vr32T1LAhnDHsVEyq/aVS2h/813ppV1bS69IgwzYqtX2sdkp6I+Z2KnQpZiDcamZyRuzB2zv9vsCqPRV8sbmoKXnTWrO/sp4hidUAVHodMt5NDDiSvAkRZKpdFYSZvSTFyZg3IUTgnDYxjdMmpgHw7t0Wjh2V1Kn6tfWZUA6RITXMGZ3colxrzeNfbictJpS7zhyHzeJPwBqq4IMHIf0IRp1+E6NMLROzj3d+TFHDXv5+3N85MSut8y9OBJWM+HAem3dEt49zyxurWbH7QDfdijoXDreXNFOl77m7llFRg9uoLUT/JMmbEEHG7rUT26WOKkII0Q6vl4PaOXTzxbYP/zcnOsKX7NU3VPiaUQ7p/vbttlJW7qng3nMnHEjcAL68D2qK4dI3oJXEze11M3/NfEbEjuCUITLDpDjApNRBLXYFVfUAJOpyCE+g0lElC3SLAUeSNyGCjJ0GYrzyqymECLCPfw+5z/oe26Pg6wc7VT2yrhCAuuqd8HXLxbWfWDaMVJuVi+pehyX+T9z2Qlj5IqQfAVs/ga2ftqj3X/s2dlfv5rGkYzF9/bdWztyVwVgBHF0W0PO0s39nB6MF/DwBPH/hOvhbW5NutfU+t9x+d4ObJfpI4AQACiobAN8C3Z6oVKokeRMDkHxCFCLIVJtcpHll2mMhRICNOhWi/MvV/fc5yDrWX9CxUVJRNfuh5EvqlReGHDxb5IoCN8sr6vjfWTZsQ2f7Nno9voQxNMa3ILe15d+1Oo+D+Ss+4IjoYRw/5uKWH+C7Muirs6O+euMcXT5PF87f9qqBgTvP4QZKhsXB+PMO2dxWpbYP5lj7GVOcG5qeN7a8hTtKqI5MRnvtxNpi2wtGiH5HkjchgkylSTNKt78ArhBCdNaCJbtZsOBNAEqq6iFrdqfqR9YWwcq/UK8dMPSYg8r+tWQ58RFuLjn1eLD6u0YuWwBl2+CCZ2F061P/v7TmSUqd1Tx64r9QyVM6/ZpEkIoZDGc83O3D7N1xMSnOn5qe769qwGJSWOqKqEgZBnZZoFsMPLLOmxBBpNJeSo3ZRHSIXIyEEIGVk5NDbm4uubm5JCV1brISgChrFAAebw0e74HWkvX7qliypYRrjh5KWGPiVl0AX9wDw46HCRe0eryy+jKeX/88J2WexBRJ3ESrTJg4MDazsKqBtKgQVE0RlaG+n0dZKkAMNNLyJkQQ2blvEwCxoS1nchNCiO54Z9s7LC1YCkC1s5rP93zeoXrKP0ZJa41Jg9lcx1sbF5MQ5dv+5GcuwqyQMWgXi/fsBmDiVw+R6Glg2REXUr/3y0MPCMAbm9+gwdPAtLRpfLH3iw7H0Rnt1mlziFtgJ4zq6vECvfB0l96/LsZQWFvIg8tbjqls73itxVccVsRMh4nG9L+gqp7RUQ4o9VJhCwek5U0MPJK8CRFE8ou3ApAQNcjgSIQQ/U1BbQEbyzYCvhkeS+pKmsp0B8dDhaEwmepZu6+csRkuiitNrNwRzbETG6h2V1DthvSCDaTsXsrqCWey0wzUFrQay9KCpUxLmYbX66WgpqDDMTTXbp02h2sFcuxZ12Lo9TjaqhPQcXgHYqh0VPLu9ndbLetMDA3WOtbHWZuSt7IaJ5Oi7QBUWKwAMmGJGHAkeRMiiBRX7gEgLb6tWbqEEKJrfjXlV/xqyq8AyL4vm0vHXtrpY7y68gkc5loGMYHLx43n2hdXEGkr59FzTyE+wgrOOvjsb5AwkinnPscUi63FMbzay88X/ZyE0AT+ecI/ibTKGN/+5sn4J1l66dJuHyfnmePYow58yVBW6yQjoQqACrNv5I9MWCIGGhnzJkQQKa3ZD0BmymiDIxFCiJZSbLGUWEys27yFr7YUs3hTMTccP9yXuAF8dR9U7oEzH4VWEjeAD3Z8wNqStdwy9RZJ3ES7TKimEW9uj5eKOmfTAt3leAmzhBFqCTUsPiGMIMmbEEGkylGK0pqsQZK8CSGCT0pEKkVmCw1F27j6hRWMToni6tlDfYV7f4Sl/4Lsq1vMRtmovKGcR1Y+wqSkSZw1/KxejFz0RSZlwusfCldR50JrSKICUFR6HcSHxhsanxBGkG6TQgSRalclMRZNmE3WeRNCBJ/kuBEUF6/g11lVRIam8OezxxMaYvZ1l3z3VxCTASff02b9B5Y9QLWzmruPuhuTku+PRftUs5a3sloHALGecohIpMJRJZOViAFJkjchgohd1xLjkQ80QojglBKbhUspZsUXcuaF2QcKPr8LynfAFe+DLarVul/s/YJFuxdx45QbGRk3spciFn2ZUia82jepSVmNE4BodylEpVLeUE5iWKLBEQrR++RTohBBpEY5iNZWo8MQQohWpYSnAFCU/wN4/W0i696CFc/AUb+GYce1Wq+ioYJ7f7yX0XGjuWbiNb0VrujjTPi6TXq1b7ISgDBHCUSlUeGokJkmxYAkLW9CBJEqs4ckT7TRYQghRKsyozMB2OWqYuzOL0GZ4b0bIWMmnHR3q3W82ssfv/sjVY4q5p80nxBTSC9GLPoykzLh1QqPV1NW4+s2aa0rgowjqKzeLd0mxYAkyZsQQcLr8VBpUkRqmX1NCBGchkYPxaLMbI9KhIWXg7sBksbAvNfA3HpS9sKGF/hu33fcOeNOxsSP6eWIRV9mQvlb3nzdJq0mL6qulLrwRBoqGqTlTQxIkrwJESRKKgtxmhRR5lijQxFCiFaFmEPIjB7C9uQESDJDzGA4+hYIbb3HwLf53/LYqsc4ecjJ/Gz0z3o5WtHXmfxj3jxeTVmtg+Hh9Si3l4ow37hKmW1SDESSvAkRJPIKtwEQbUsyOBIhhGjb6LjRrCxaib5oMUqpNvfbUr6F33/9e0bFjeLe2fe2u68QrVFNyZuH0honI0LtUAMV/hmZpeVNDEQyYYkQQaKgbCcA8ZEpBkcihBBtm542neL6YnZW7Wxznx2VO8j5PIfIkEgeP+FxwkPCezFC0V+YMONRCq/bTVmNg6E2OwAVIb6JvWJtsQZGJ4QxJHkTIkiUVu8DIDEmw+BIhBCibbPSZwHw5d4vWy1fW7KWqz+9GrMy88zcZ0iNSO3N8EQ/YlImvIDH46as1slgSyUAFWbfx1fpNikGom4nb0qp/1FKbVFKbVBK/a3Z9juUUtv9ZXO7ex4h+rvy2kIA0hOGGhyJEEK0LT0ynRmpM1i4ZSF1rrqm7V7t5fXNr3PVJ1cRZgnjubnPMTRG/p6JrjMpEx6l8HjdlNU4STFVAYoK7QGk26QYmLo15k0pdTxwDjBJa+1QSiX7t48D5gHjgXRgsVJqlNb+3zYhRAvVDaUAZKTK4rVCiOB2w5Qb+MUnv+C3S37LFeOuYH/tft7c8iabyjcxO302Dx77IDG2GKPDFH2cSZkBqGtwUONwk6jLITKZcmcVFpOFyBCZnVkMPN2dsOQG4AGttQNAa13s334OsNC/fZdSajswHVjazfMJ0W/VuKqwmTUJMTLmTQgR3KamTOVPM//EA8sf4Pv93wOQFZ3F/cfczxlDz5DJSURAmJWvg1hJVS0AcZ4yiEql0lFJvC1efs7EgNTd5G0UcIxS6j6gAfi91noFMAj4sdl++f5tLSilcoAcgMzMzG6GI0TfVeOtIVppTCYZiiqECH4Xj76YU4acwrbKbSSEJjA0Zqh8mBYBZWpM3uy+5C3SVQpxQyhvKCc2NNbAyIQwzmGTN6XUYqC10cZ3+uvHATOBacCbSqlhQGt/vXVrx9daLwAWAGRnZ7e6jxADQa2uJ8prNjoMIYTosNjQWKalTjM6DNFPNXabLLX7xlaGOUogcjoVDeUy3k0MWIdN3rTWJ7VVppS6Afiv1loDy5VSXiARX0tb8ynzBgP7uxmrEP1ajclFhDfE6DCEEEKIoNDYbbKsphYLbiz1ZRCVRkXFDsYnjDc4OiGM0d3+We8CJwAopUYBVqAUeB+Yp5SyKaWGAiOB5d08lxD9Wo3yEKlCjQ5DCNFJnZ11WSk1VSm1zl/2TyV9DYVolfK3vJXX1JNIFQoNUalUOCqk5U0MWN0d8/Yc8JxSaj3gBK70t8JtUEq9CWwE3MCNMtOkEO2rMisikJmzhOhLujjr8nx8Y71/BD4GTgUWGRG/EMHMZPInb7X1ZIRUAeCKSMLutEvyJgasbiVvWmsncHkbZfcB93Xn+EIMFBVVJTSYFFEmmVpbiD6mU7MuK6V2A9Fa66UASqmXgHPpheRtwYIFLFiwAIDNmzeTnZ3d6WOUlJSQlJQU6ND6bBwQPLEESxzg+/kKhMYxb5U1dQwPrQEXVNgiAFmgWwxc3W15E0IEwJ7CLQDE2BIMjkQI0UmdnXXZ5X986PYel5OTQ05OTreOkZ2dTW5uboAi6vtxQPDEEixxAF36YqA1Zn/LW1V9PcdYq8AFpRbf2PDEsMSAnEOIvkaSNyGCQEHpLgBiI2SNNyGCTYBnXe7wbMz+c8tyOmLAMvtb3moaGhgUXgXKTKlyA5K8iYFLkjchgkBJVR4AidGDDY5ECHGoAM+6nO9/fOj2ts4ty+mIAatxzJsJD6mqAiJTKGuoACR5EwOXrAYsRBAorykEIC0+y9hAhBCd9S6dmHVZa10A2JVSM/2zTF4BvGdI5F3Q3W6XgRIscUDwxBIscUDgYglRvjYGpTwk6HKITqO0vhSAhDAZZiAGJml5EyIIVDf4LkaD00YZHIkQopO6MuvyDcALQBi+iUr6zEyTwZIgBEscEDyxBEscELhYLBbfx1QTHmLdZRA1htL6UqKsUdjMtoCcQ4i+RpI3IYKA3VWJxaxJjeuVeQuEEAHSlVmXtda5wIQeDk2IPi/E7E/elJdIZzFEzaG0vlS6TIoBTbpNChEEaj21xHg0JrPZ6FCEEEKIoGD1zywZigOrqxqiUiV5EwOeJG9CBIF63UCEV34dhRDGyMrKYuLEiUyZMqXVad611tx0002MGDGCSZMmsWrVqqayTz75hNGjRzNixAgeeOCBHo/l1VdfZdKkSUyaNIlZs2axZs2aDtcNdCxLliwhJiaGKVOmMGXKFO65556mskC+L4eL4+9//3tTDBMmTMBsNlNeXt6hup1VWVnJhRdeyJgxYxg7dixLly49qDyQPysh/m6TSco3SQlR6ZQ1lJEYKsmbGLik26QQQaBWOQjX0uomhDDOV199RWJi6x+KFy1axLZt29i2bRvLli3jhhtuYNmyZXg8Hm688UY+//xzBg8ezLRp0zj77LMZN25cj8UydOhQvv76a+Li4li0aBE5OTksW7asQ3UDHQvAMcccw4cffnjQtp54X9qL49Zbb+XWW28F4IMPPuDRRx8lPj6+Q3U76+abb+bUU0/lrbfewul0UldXd1B5IH9WbCGhACSbysBLU8ubTFYiBjL5ql+IIFCnPERoq9FhCCFEq9577z2uuOIKlFLMnDmTyspKCgoKWL58OSNGjGDYsGFYrVbmzZvHe+/17OSZs2bNIi4uDoCZM2eSn59/mBq9z4j3pdHrr7/OJZdc0iPHrq6u5ptvvuGaa64BwGq1Ehsbe9A+gfxZsVrDAEg1+VoR68LiqHXVSrdJMaBJ8iZEEKg1eQlTMnOWEMIYSilOOeUUpk6dyoIFC1qU79u3j4yMA8vWDR48mH379rW5vSdjae7ZZ5/ltNNO61LdQMWydOlSJk+ezGmnncaGDRuAtt+vnowDoK6ujk8++YQLLrig03U7YufOnSQlJfGLX/yCI444gmuvvZba2tqD9gnkz4rN6m95U77krSzE9yWnJG9iIJNuk0IEAbtJEa4jjA5DCDFAff/996Snp1NcXMzJJ5/MmDFjOPbYY5vKfasfHEwp1eb2noyl0VdffcWzzz7Ld9991+m6gYrlyCOPZM+ePURGRvLxxx9z7rnnsm3btoC/Lx19XR988AGzZ88+qMtkIN8Tt9vNqlWrePzxx5kxYwY333wzDzzwAH/5y1+a9gnkz4rZ4mt5y7RWgQ6lxOsAJHkTA5u0vAlhsEp7KQ6TIiIk2uhQhBADVHp6OgDJycmcd955LF++/KDywYMHk5eX1/Q8Pz+f9PT0Nrf3ZCwAa9eu5dprr+W9994jISGhU3UDGUt0dDSRkZEAnH766bhcLkpLSwP+vnT0dS1cuLBFl8lAvieDBw9m8ODBzJgxA4ALL7zwoAlJGvcJ1M+KyeLrkRLqroKoVArrigBIjUjt8msQoq+T5E0Ig+0r3g1ApDXW0DiEEANTbW0tdru96fFnn33GhAkHL0N39tln89JLL6G15scffyQmJoa0tDSmTZvGtm3b2LVrF06nk4ULF3L22Wf3aCx79+7l/PPP5+WXX2bUqFGdqhvoWAoLC5talJYvX47X6yUhISGg70tHX1dVVRVff/0155xzTqfrdlRqaioZGRls2bIFgC+++KLFhCOB/FkxW3zdJj0KiM2ksK7QF4ckb2IAk26TQhisqHw3ADGhMnuWEKL3FRUVcd555wG+bnGXXnopp556Kk8++SQA119/Paeffjoff/wxI0aMIDw8nOeffx4Ai8XCE088wdy5c/F4PFx99dWMHz++R2O55557KCsr41e/+lVTDLm5uW3W7clY3nrrLebPn4/FYiEsLIyFCxeilAro+9KROADeeecdTjnlFCIiIg5btzsef/xxLrvsMpxOJ8OGDeP555/vsZ8Vq9XXqulSCmIyKawtJCokiogQGWYgBi7VWh9ko2RnZ+vc3FyjwxCiV725+HH+sm8Bd6ZdzbxTbjE6HCF6jVJqpda6+wtPDRByjRQDzYbiNcxbdDn/LCrh+Om3cJN3H3n2PN455x2jQxOiR7V3fZRuk0IYrLLW1w0kIWaQwZEIIYQQwcMWEg6AE3zdJmsLpcukGPAkeRPCYFX1ZQCkxGcaHIkQQggRPGxm35g3p0lBwgiK6ookeRMDniRvQhisxlEBwKCkLGMDEUIIIYKI1exb182hFI7E4ZQ3lJMaLsmbGNgkeRPCYLXuakK0Ji4qyehQhBBCiKBhM/uWCnBkX0N+4xedUTLEQAxsMtukEAar89QRjcZkNhsdihBCCBE0GlveXAnD2Vu9F4DMKBliIAY2aXkTwmB1up4Ir/wqCiGEEM01dZv0ONhr9yVvQ6KHGBmSEIaTljchDFannIRraXUTQgghmrOYLJiVGYfHQXFdMTG2GGJsMUaHJYSh5Ot+IQxWpzxEaKvRYQghhBBBx2q24vA42GPfI10mhUCSNyEMV2PyEqZsRochhBBCBJ0oaxTVzmq2VWxjeOxwo8MRwnDSbVIIg9WYFOE6wugwhBBCiKATHxrPlvItlDeUMyZ+jNHhCGG4brW8KaWmKKV+VEqtVkrlKqWmNyu7Qym1XSm1RSk1t/uhCtH/VNpLcZgUESFRRocihBBCBJ04WxybyjcBMDZ+rMHRCGG87ra8/Q34P631IqXU6f7nc5RS44B5wHggHVislBqltfZ083xCBDWtdavbvdrb6va84h0ARFrjeiwmIYQQoq9KDEsEINQcyvjE8QZHI4Txupu8aSDa/zgG2O9/fA6wUGvtAHYppbYD04Gl3Txfu1Zv+Y6bvruu9ULV+ubWP2ofvixQxzp0u2qnrGl7F15LW9qPufUTBfI8bb2WdusE8vzt1VHtBBdgMf6LkxBCCCEOmJA4gQ92fsCMtBlNi3YLMZB1N3n7DfCpUuohfF0wZ/m3DwJ+bLZfvn9bC0qpHCAHIDOze7MIRYfHMcmb1M4erX8Yb+8jumq3tCt1Wpa1fwZfaWMeoQ/a2pUjtV7SsVepDnnUwfdGtV67tSPrThy5RZ3DVGrvVR5aojuwd2vlWoFqJyNtrcRqDuXCOf/TZh0hhBBioDp3xLlUOCo4d8S5RociRFA4bPKmlFoMpLZSdCdwInCL1vptpdTFwLPASbTxuba142utFwALALKzs7vSqNJkWMZ4nvjlku4cQgghhBBCBInwkHBunHKj0WEIETQOm7xprU9qq0wp9RJws//pf4Bn/I/zgYxmuw7mQJdKIYQQQgghhBCd1N113vYDx/kfnwBs8z9+H5inlLIppYYCI4Hl3TyXEEIIIYQQQgxY3U3efgk8rJRaA/wV/9g1rfUG4E1gI/AJcKPMNCmEEKK/6cqSOUqpqUqpdf6yfyrVi7MjCSGE6NO6NWGJ1vo7YGobZfcB93Xn+EIIIUSQ68qSOfPxfdn5I/AxcCqwyJDohRBC9CndbXkTQgghBrLDLpmjtd4FbAemK6XSgGit9VLtWxjyJeDcXo5ZCCFEH9XdpQKEEEKIgew3dG7JHJf/8aHbhRBCiMOS5E0IIYRoR4CXzOnwUjr+cwdsLVQhhBB9n/L12ggOSqkSYE8ADpUIlAbgOP2JvCctyXvSkrwnLcl70lKg3pMhWuukABzHMEqpKiBWa639E49Uaa2jlVJ3AGit7/fv9ylwN7Ab+EprPca//RJgjtb6ug6cKxDXSPl5bknek9bJ+9KSvCctyXvSUiDekzavj0HV8haoi7hSKldrnR2IY/UX8p60JO9JS/KetCTvSUvynhykccmcJbRcMuc1pdQj+CYsGQks11p7lFJ2pdRMYBlwBfB4R04UiGuk/N+1JO9J6+R9aUnek5bkPWmpp9+ToErehBBCiD7ml8BjSikL0ECzJXOUUo1L5rg5eMmcG4AXgDB8s0zKTJNCCCE6RJI3IYQQoou6smSO1joXmNDDoQkhhOiH+utSAQuMDiAIyXvSkrwnLcl70pK8Jy3Je9J3yf9dS/KetE7el5bkPWlJ3pOWevQ9CaoJS4QQQgghhBBCtK6/trwJIYQQQgghRL/Sr5I3pdSpSqktSqntSqnbjY7HaEqpDKXUV0qpTUqpDUqpm42OKVgopcxKqZ+UUh8aHUuwUErFKqXeUkpt9v/MHGV0TEZTSt3i/91Zr5R6XSkVanRMvU0p9ZxSqlgptb7Ztnil1OdKqW3++zgjYxQdI9fIg8k1sm1yjTyYXB9bkuujjxHXyH6TvCmlzMC/gNOAccAlSqlxxkZlODfwO631WGAmcKO8J01uBjYZHUSQeQz4xL/+1GQG+PujlBoE3ARka60nAGZgnrFRGeIF4NRDtt0OfKG1Hgl84X8ugphcI1sl18i2yTXyYHJ9bEaujwd5gV6+Rvab5A2YDmzXWu/UWjuBhcA5BsdkKK11gdZ6lf+xHd8fm0HGRmU8pdRg4AzgGaNjCRZKqWjgWOBZAK21U2tdaWhQwcEChPmngQ/Ht6bXgKK1/gYoP2TzOcCL/scvAuf2ZkyiS+QaeQi5RrZOrpEHk+tjmwb89RGMuUb2p+RtEJDX7Hk+8ke4iVIqCzgC36KwA90/gD8AXoPjCCbDgBLgeX9XmWeUUhFGB2UkrfU+4CFgL1AAVGmtPzM2qqCRorUuAN8HYCDZ4HjE4ck1sh1yjTzIP5BrZHNyfTyEXB8Pq0evkf0peVOtbJOpNAGlVCTwNvAbrXW10fEYSSl1JlCstV5pdCxBxgIcCczXWh8B1DLAu8L5+6ifAwwF0oEIpdTlxkYlRJfJNbINco08QK6RrZLr4yHk+mis/pS85QMZzZ4PZoA24TanlArBd1F6VWv9X6PjCQKzgbOVUrvxdRs6QSn1irEhBYV8IF9r3fit81v4LlYD2UnALq11idbaBfwXmGVwTMGiSCmVBuC/LzY4HnF4co1shVwjW5BrZEtyfWxJro/t69FrZH9K3lYAI5VSQ5VSVnwDJ983OCZDKaUUvj7am7TWjxgdTzDQWt+htR6stc7C9zPypdZ6wH9bpLUuBPKUUqP9m04ENhoYUjDYC8xUSoX7f5dOZIAPUm/mfeBK/+MrgfcMjEV0jFwjDyHXyJbkGtmSXB9bJdfH9vXoNdISyIMZSWvtVkr9GvgU36w3z2mtNxgcltFmAz8H1imlVvu3/VFr/bFxIYkg9j/Aq/4PdjuBXxgcj6G01suUUm8Bq/DNSvcTsMDYqHqfUup1YA6QqJTKB/4MPAC8qZS6Bt9F/CLjIhQdIdfIVsk1UnSUXB+bkevjAUZcI5XW0uVdCCGEEEIIIYJdf+o2KYQQQgghhBD9liRvQgghhBBCCNEHSPImhBBCCCGEEH2AJG9CCCGEEEII0QdI8iaEEEIIIYQQfYAkb0IIIYQQQgjRB0jyJsRhKKWWKKXmHrLtN0qpf3fyOOcqpca1U/4bpdQVgYhLKZWklPqkM/EJIYQQ3RWIa6ZS6i2l1LAO7huhlCpTSsUcsv1dpdTFSqkzlVL/19FzCxHsJHkT4vBeB+Ydsm2ef3tnnAu0mrwppSzA1cBrgYhLa10CFCilZncyRiGEEKI7unXNVEqNB8xa650d2V9rXQt8hu8a23iMGOBo4EPgI+BspVR4R44nRLCT5E2Iw3sLOFMpZQNQSmUB6cB3SqlTlFJLlVKrlFL/UUpF+vd5QCm1USm1Vin1kFJqFnA28Hel1Gql1PBDznECsEpr7fbXX6KUelQp9Y1SapNSappS6r9KqW1KqXsPF5e//F3gsp55S4QQQohWtXfNvEQptU4ptV4p9WAb9S8D3mt8opSqUUo9qJRaqZRarJSa7r9G7lRKne3f7dCE8TzgE611ndZaA0uAMwP6KoUwiCRvQhyG1roMWA6c6t80D3gDSAD+BJyktT4SyAV+q5SKx3fhGK+1ngTcq7X+AXgfuFVrPUVrveOQ08wGVh6yzam1PhZ4Et+F7EZgAnCVUiqhrbj8Fyr88RzT/XdACCGE6Jh2rplpwIP4vqycAkxTSp3byiEOvR5GAEu01lMBO3AvcDK+6+w9/n0+AaYqpRKanbN5S59cD0W/IcmbEB3T/Fu9xovCTHzdIL9XSq0GrgSGANVAA/CMUup8oK4Dx08DSg7Z9r7/fh2wQWtdoLV2ADuBjHbialSM79tOIYQQoje1dm2ahi8JK/H3MnkVOLaVuodeD534kjPwXQ+/1lq7/I+zALTWTnzXzAuVUon4ksPPmh1Droei35DkTYiOeRc4USl1JBCmtV4FKOBzf0vaFK31OK31Nf6L0nTgbXx98DsycUg9EHrINof/3tvsceNzSztxNQr1H1cIIYToTe/S+jWzIw69Hrqa9Shpuh5qrZtfC+FAwngh8J4/wWsk10PRb0jyJkQHaK1r8PWZf44DrVs/ArOVUiMAlFLhSqlR/nFvMVrrj4Hf4PsGEHzdPaLaOMUmYESA4mo0Cljf2WMKIYQQ3dHGtWkZcJxSKlEpZQYuAb5upXqXrofAV8BIfEMM5Hoo+i1J3oTouNeBycBCAP+MjlcBryul1uJL5sbgS9A+9G/7GrjFX38hcKtS6qdWJixZROvdRzodVzPH45tlSwghhOhth14zC4A78CVZa/BN0vVeK/U+AuZ09mT+lri38Y1H/+aQYrkein5DHWiJFkIYSSn1DvAHrfW2AB3vG+AcrXVFII4nhBBC9DSlVBi+BG+21toTgOOlAK9prU/sdnBCBAFJ3oQIEkqp0UCK1vrQbwy7cqwkfBe+d7sdmBBCCNGL/It8b9Ja7w3AsabhGze3utuBCREEJHkTQgghhBBCiD5AxrwJIYQQQgghRB8gyZsQQgghhBBC9AGSvAkhhBBCCCFEHyDJmxBCCCGEEEL0AZK8CSGEEEIIIUQfYDE6gOYSExN1VlaW0WEIIYToBStXrizVWicZHUdfIddIIYQYGNq7PgZV8paVlUVubq7RYQghhOgFSqk9RsfQl8g1UgghBob2ro/SbVIIIYQQQggh+gBJ3oQQQgghhBCiD5DkTQghhBBCCCH6AEnehBBCCCGEEKIPkORNCCGEEEIIIfoASd6E6Me82kuVo4p6dz1aa6PDEUIIIYKGy+vC4XEYHYYQnRJUSwUIIbqvzlXHO9vf4dPdn7KudB1urxuAMEsYY+LHMCFxAkcPOprslGysZqvB0QohhBC9y+1189iqx3h106toNHOz5nLbtNuIC40zOjQhDkuSNyH6ka/zvubupXdTWl/K2PixXDbmMlIiUnB5XRTVFrGpfBNvbnmTlze+TLglnFnps5iTMYdjBh9DfGi80eELIYQQPe6RlY/w8saXOWvYWcTYYli4ZSEbyzby3NznSAxLNDo8IdolyZsQ/cQL61/g4ZUPMzJuJI/MeYQjko9odb96dz3LC5azJH8J3+R9w+K9i1EoJidNZk7GHGYPms2I2BFYTPLnQQghRP+yrmQdL298mUvGXMIfZ/wRgBMzT+SGxTfw+69/z9OnPE2IKcTgKIVomwqmcTDZ2dk6NzfX6DCE6HNe3PAiD+U+xKlZp3Lf0fd1uDuk1pqN5Rv5Ou9rluQtYVP5JsDXxXJs/FhGxY1iUOQg0iPTibJGERESQURIBAqFy+vCrd24vW4cbgf17nrqPfXUu+pp8DRQ766nwe27b7w1Pm/wNBy0X2OZRmNSJlTjP+W/NX/OwdsADtypptemlDpoW2tl/VFv/U1/eM7DTEic0K1jKKVWaq2zAxRSvyfXSCG677rPr2NT2SYWXbCIiJCIpu0f7vyQO769g2snXsvNR95sYIRCtH997PZX60qpDOAlIBXwAgu01o8ppeKBN4AsYDdwsda6orvnE0Ic7Ou8r3k492FOHnIyDxzzAGaTucN1lVKMTxjP+ITx/GrKryisLWRl0UrWl65nXek6Ptr1EXanvVvxhZpthJpDCbOE+h/bCLOEEmMOJdUW63tutmEz21AoNBrQeLWm6Z/Gv83rL9X4N9KYqmjtbTpn0zb/o9YSGs2BbVrrwCV07SRP/SlpjFTyzbQQom/Jq87jh/0/8D9H/M9BiRvAmcPOZFnBMp5f/zynDDmFsQljDYpSiPYFol+UG/id1nqVUioKWKmU+hy4CvhCa/2AUup24HbgtgCcTwjhV1Zfxl3f38WY+DH89ei/tkzctIbaEijbATWFUFMCtcVQWwrOGnDWHnRLdddzhtfDGR4XeN3gdVGtvRQoL3a81ClNnck3Sa1ZayyARWtCtSbM67/XXkK9mjD/dpnStp8a/jNIMDoIIYTouHd3vItJmTh7+Nmtlv8++/d8m/8tdy+9m1dPf1WGD4ig1O2fSq11AVDgf2xXSm0CBgHnAHP8u70ILEGSNyHatDqvkq+3lFDndHdof60131Y/RJWzhqPCr+XRz3YR7Sgkw/4Tg2vWkVK7hYSGPYR6ag6q58VEvSUGhzkCpzkclykUlzkcpykVt8mK12zBY7WglRmvMuNRFrzKjFdZUJgJV2Zfm5VSaEy4UdQAdqUAhfZ3T9QoaGObbtymGssUgens1/2WLR2Q1rEAxBGAY/SkI8zpDDI6CCGE6ITP93zOtNRppEaktloeY4vh9hm3c+vXt7Jw80IuH3d5L0coxOEF9CsFpVQWcASwDEjxJ3ZorQuUUslt1MkBcgAyMzMDGY4QfcbG/dVcOP8H3F6NzWKiI/mDCt+IJX0FkaXHkLFjISeqXMaqPQDU6DDWM4wleha7SWO3TqWIeMqIoYJovB5pDxPd8+qcKEnehBB9Rp49j11Vu7h41MXt7jd3yFzeTX+Xf63+F3Oz5pIUntRLEQrRMQFL3pRSkcDbwG+01tUdHduhtV4ALADfYOxAxSNEX/Lu6n2YlGLFnSeSFGU77P4uj4vz334I6q381/4aISYg8ygY80sYNofI5HHMNJmZ2fOhCyGEEEHv2/xvAThm8DHt7qeU4o4Zd3Dee+fxyMpHuP+Y+3sjPCE6LCBfvyulQvAlbq9qrf/r31yklErzl6cBxYE4lxD90eZCO6NTozqUuFG4jndencvu+mJ+X1VLyHG3wW83wtWLYNb/QOpE6MSkJUKI7lFKZSilvlJKbVJKbVBK3ezffrdSap9SarX/dnqzOncopbYrpbYopeYaF70QA0NuUS7pEekMiR5y2H2HRA/hFxN+wYc7P2RF4YpeiE6Ijut28qZ8TWzPApu01o80K3ofuNL/+Ergve6eS4j+Kq+8jsz48PZ3cjvgi7/geuo4nnMVMdGWzLHX/wTH3wHR6b0TqBCiNY0Td40FZgI3KqXG+cse1VpP8d8+BvCXzQPGA6cC/1ZKyTcuQvSgNSVrmJw0ucP7XzvxWtIj0vnrsr/i8rp6MDIhOicQLW+zgZ8DJxzy7eIDwMlKqW3Ayf7nQohWFFc3kBId2vYOZTtgwfHw7UN8OGYO+ywmrj/6zyhrWO8FKYRolda6QGu9yv/YDjRO3NWWc4CFWmuH1noXsB2Y3vORCjEwFdYWUlxXzOTkjidvYZYwbpt+G9srt/Paptd6MDohOqfbyZvW+juttdJaT2r+7aLWukxrfaLWeqT/vjwQAQvR33i8mlqnh6jQNoagbv3Ml7jZ9+O5ZCHPhDgYGz+WYwa1329fCNH7Dpm4C+DXSqm1SqnnlFJx/m2DgLxm1fJpP9kTQnTD6pLVAExJmtKpesdnHM+xg4/l36v/TVFtUeADE6ILZMo5IQxW618aoNXkbeUL8NrFEJcJOUv4OszGXvterp14bb9a8FmI/uDQibuA+cBwYAq+JXUebty1leqtTtillMpRSuUqpXJLSkoCH7QQA8Ca4jWEmkMZFT+qU/WUUtw+7XbcXjcP5T7UQ9EJ0TmSvAlhsFqHL3mLsB2SvP3wOHxwM4w4Ca7+DOKyeH3z66SEp3BC5gkGRCqEaEtrE3dprYu01h6ttRd4mgNdI/OBjGbVBwP7Wzuu1nqB1jpba52dlCRTlgvRFetL1zMuYRwhppBO182IzuDaidfyye5P+HLvlz0QnRCdI8mbEAarafAlb5GNyZvW8OV98NmfYNy5MO81sIazs2onPxb8yMWjL8ZiCugSjUKIbmhr4q7GGZf9zgPW+x+/D8xTStmUUkOBkcDy3opXiIFEa822ym2Miutcq1tz10y8hnEJ47jr+7sorC0MYHRCdJ58AhTCYHZ/y1tkqAW8Xvj0Dlj2JBzxczjrsaZp/9/Y/AYhphAuGHmBkeEKIVpqnLhrnVJqtX/bH4FLlFJT8HWJ3A1cB6C13qCUehPYiG+myhu11p5ejlmIAaGwtpBaVy0j40Z2+RhWs5W/H/t3LvrgIn635Hc8M/cZwiw9N2FYrauWwtpCqhxVVDursTvtaDRa+3pXK6UINYcSagk9cG8JJcwcRqglFKvZitVsJcQUIl/29kPyPyqEweqdvs9s4RYFH/wP/PQKzLwR5t4H/nFtta5a3tvxHnOz5pIQlmBkuEKIQ2itv6P1cWwft1PnPuC+HgtKCAHAtsptAIyIHdGt42RGZ/LXo//KLUtu4davb+Ufx/8jIIlRSV0Ja0rWsKZkDWtL1rK7ejflDYGb48+kTISYQrCarISYLVhMISj/n6vGZLD5kFvtf6y19iWMTQWNz7W/rLG+bqrXtB3dtH/j0Q+cq/f19hQBE+LH88LpL/XY8SV5E8JgTo8XgKEr74WNr8Cxf4Dj/3jQX5sPdnxArauWS8ZcYlSYQgghRJ+zvXI7AMNjh3f7WCcOOZE7Z9zJvcvu5ZYlt/DgMQ8SHnLIGq1ag6Ma6sqhvgLqy6G+Epw14KxDO2vZUlfAV7W7+bKhgM2eGgBCUIzFyhwdQoaOZpAXYrxeYjxeIj0uTF43eDworwsvGof20qCgAU0DND2uV+AEnGhc/scuBS40TqVwHZLJqEPufa+hcZtGtbKPApSmqUw1S/5U85s++Liq9XmZepRu9Xu1npVQt6VHjy/JmxAGc3s0k9QOkje+ADNuaJG4aa1ZuHkh4xPGMzFxonGBCiGEEH3M9ortJIcnE2OLCcjxfjbmZ3jcDTy48mEu/++Z/CVyAuPra6F6H1Tlg70AvO6D6riAVaE2loSH8WV4OPtDLCitmezW/MZtJptQxiobVpMVzCF4lAWXMuM0mXAoMw6TGac24fCacWgTTo/C6dE4PeD0gscLbg1ur0J7NWiFyQtmL1g0aC+YUdhQeLUJrz8t83fCbPO1tpX4HJqCNX/ubfd4bWsvyWq/LAjFp/fo4SV5E8Jgbo+XM8w/4jVZMR2SuAHkFuWyo2oH98y6R5YHEEIIITphe+V2RsZ2fbwbAG4n7Poadi6BXd9wadF6MkOt/G+ii0vqiznOrZhrSWBCxlSiowZRFxpJkdnEZred3Lp8llZsotZdj81k5ai0Gfwy4wSGR06nuNLK3rI6/ltRR35FPfkV9eyvrG8aC9+aELMi0mYhMtRCpC2EcKuZ0BATVrMJq8WEzWL23zd7blaYTAqzUoSYFGb/Y982MJsOlDfeN24z+T92NHa1VKpZC1zTR5LWylSzEn/ZIcdqftfq/ga0mgVCZFvr9gZIv0reFixYwIIFCwDYvHkzY8aMMTgi0Z/t3r2b0tLSbh/H6fEyVu3FmTCG0NDoFuVvbHmDKGsUpw49tdvnEkIIgMTERLKysowOQ/RTgbo+dpdXe9lZtZNpqdO6doDizbBsPmx4BxqqwGyDjOlwzO85OnUC78Vl8WLBN/xn21ssaSiD2jKoXXXQIVLDUzkmfS6xTKKyPIstmx386Ws7Da51TftE2SwMjg8nMyGcmcPiSYqykRBpIzHSRkKklfhwK1GhvoTNZjF35y0R/UC/St5ycnLIyckBIDs7m9zcXIMjEv1ZdnZ2QI7j9miyVCGe2FktykrrS/lizxfMGzOvR2e2EkIMLFlZWXKNFD0mUNfH7iquK8bhcTAkekjnKpZuh8//F7Z8BJYwGHc2TLgAhh4HIaFNu0UBv06bzA1TfsXmis3srNyJ3WnHTCj7yszsyI9hxVY3/1np8O0fWs7kwbFcNmMIo1OiGJkSybCkSGLCOr/+nBi4+lXyJkRf5PZ6SVGVOKNb9pH+77b/4tZuLh59sQGRCSGEEH1Xnj0PgIyojI5V8Hrg20fg6wchJAyOux2m50BE+7M8m01mRseOZX9RIu/n5rFkSzEujyY23MmxI5OYPjSe7Kw4RiVHYTL1za6AInhI8iaEwdwuBzblwhV68GBqj9fDW1vfYkbqDIbGDDUoOiGEEKJvakzeBkcNPvzO9RXw5pW+sW0TLoBTH4DI5MNWK6918sIPu3l9+V5K7A4SI21ccVQWp4xLYeqQOCxmU3dfhhAHkeRNCIMpRzUApkPGu32771sKagu4ddqtRoQlhBDCIHanneK6Yqqd1VQ7qql11WJSJkzKhNlkJtoaTawtlrjQOOJscZhNMg6qNfn2fMzKTFpEWvs71hTDy+dB6VY4+3E44ueHXRysotbJE19t57Vle6l3eThxTDLzpmcyZ3QSIZKwiR4kyZsQBjM77ACYwg5ueXtl4yskhyUzJ2OOAVEJIYToDVWOKnILc1lRtIJtFdvYVbWLkvqSDte3mCwMihzE4KjBZEVnMTpuNGMTxjI8Zjgh5oE9lirPnkdaRFr7i2k3VMNL50LFLrj0DRh+QrvHdHm8vPjDbv75xTZqHG7OO2IwN8wZxojkqMAGL0QbJHkTwmDK6U/emnWb3FC6gWWFy/jd1N8RYhrYF18hhOhviuuK+XDnh3y6+1M2lW1CowmzhDEybiSz0mcxNGYoaRFpxNhiiLHFEG4JR6PxaA9urxu7006Fo4KKhgoKawvJt+eTZ89jVdEq6t31AISYQhgRO4LxieM5MvlIjkw5kvSI9AG15Ey+Pb/98W4eN7x1NZRshsvfOmzitqXQzu/+s5r1+6o5blQSfzx9LKNTJWkTvUuSNyEMZnbW+O7DDnSbfHb9s0SFRHHhqAuNCksIIUQAaa1ZkreEhVsW8mPBj3i1l0lJk7hhyg3MTJvJhIQJ3W4p83g97LXvZXP5ZjaVb2Jz2WY+3f0pb219C4CU8BSOTDmS7JRsZqXP6thYsD4sryaPuUPmtr3Dd4/C9s/hzEfbTdy01jz//W7uX7SJ6NAQ/n3ZkZw+8TBdMYXoIZK8CWE0j28KYbM1HIBNZZtYvGcx1068lkhrpJGRCSGE6Cav9vLl3i95cs2TbKnYQmpEKtdOvJazh5/d+SnsD8NsMjM0ZihDY4Zy2tDTms6/rWIbq4pXsapoFSsLV7Jo1yLANwvjrPRZHJV2FNPTphNl7T+tSNXOaqocVW0nqPtXw5L7YcKFkH11m8epc7q57e11fLBmPyeNTeHBCyaSEGnrmaCF6ABJ3oQwmNefvGG2oLXmodyHiLHFcNWEqwyNSwghRPesKVnDvT/ey+byzQyJHsJ9R9/H6UNPb38MVoCZlInR8aMZHT+aS8Zcgtaa3dW7+WH/Dyzdv5QPdnzAG1vewKzMTEicwKz0WcxKn8WExAm9Gmeg5dvzgTaWCfB64aPfQXgCnPFQm8cor3XyixdWsC6/klvnjuaG44bLVP/CcH33t1KIfkK5Xb4HZiv/2foflhcu584ZdxJtjW6/ohBCiKBkd9p5bNVjvLnlTZLCk7j/mPs5Leu0oJgVUinV1Dp32djLcHlcrClZw9KCpSzdv5Qn1zzJ/DXziQyJZHrq9KZkLiO6g2ulBYl213hb8zrsy4Vzn4SwuFbr76+s5/Jnl7Gvop4nL5/KKeNTezJcITpMkjchjOb1JW9flPzEX1c9xOz02bIotxADgFLqVOAxwAw8o7V+wOCQRAAsK1jGHd/eQVlDGZeNvYxfH/FrIkIijA6rTSHmELJTs8lOzeZ/jvgfqhxV/FjwI0v3+5K5L/O+BGBQ5CBfF8v0o5ieOp0YW8xhjmysxpa3Ft0mPS5fd8n0I2HSz1qtW2J3cNkzyyi1O3jp6unMGNb+It1C9CZJ3oQwmMnrYrM1hFt/epjxCeN5eM7DmJSsESNEf6aUMgP/Ak4G8oEVSqn3tdYbjY1MdJVXe3l67dP8e82/yYrO4vETHmd84nijw+q0GFsMc7PmMjdrLlpr9tr38sP+H/hh/w98tPMj/rP1P5iUiQmJEzgq7Shmpc9iYuLEoFuWoKC2gBhbTMvEee0bUJUHZzwCppbX2qo6Fz9/dhmFVQ28cu10pg6J76WIhegYSd6EMJjyungtOgqbycq/TvxXUH9DK4QImOnAdq31TgCl1ELgHECStz6oylHF7d/eznf7vuP0oafz56P+THhIuNFhdZtSiiHRQxgSPYRLxlyCy+tiXcm6pvFyT697mqfWPkWoOZRJSZM4MuVIpqZMNTpsAIpqi0gNP6Sro9cD3z4CqZNg5Mkt6rg9Xn712kp2lNTw3FXTJHETQanHkzfpFiJE+0xeFxusVqYkTCA2NNbocIQQvWMQkNfseT4ww6BYRDcU1hZy3efXkWfP466Zd3HRqIv67VpqIaYQjkzxrRn36yN+TZWjiuWFy1lZtJJVRatYsHYBXu3FhvGzMRbVFZESkXLwxq2fQPkOuOhFaOX/6P5Fm/l+exl/u3ASx4xM6qVIheicHk3epFuIEIdn1i72Wi3MjBlqdChCiN7T2qd73WInpXKAHIDMzMyejkl00o7KHVz3+XXUump56uSnmJY6zeiQelWMLYaTh5zMyUN8rVh2p501JWv4zeO/MTYwfMnbhMQJB2/MfR6i0mHMmS32f2/1Pp79bhdXzcri4uy+NTmLGFh6emBNU7cQrbUTaOwWIoTwc3sdNJhMxIVK9wwhBpB8oPknxMHA/kN30lov0Fpna62zk5KkJSCYrC5ezRWLrsCjPbxw6gsDLnFrTZQ1iqMHHW10GDg8DsobykkJb9byVrkXti+GI38O5oPbLvLK6/jTO+vJHhLHnWeM7eVoheicnk7eWusWMqj5DkqpHKVUrlIqt6SkpIfDESL4NFAHQLQkb0IMJCuAkUqpoUopKzAPeN/gmEQHbSjdwPWLryfWFsvLp73M6PjRRockmimuKwY4uNvk6td990f8/KB9PV7Nb99cDcCjP5tCiFkmDBPBrafHvB22W4jWegGwACA7O7tFlxEh+juHrgcgWsa7CTFgaK3dSqlfA5/iGxP+nNZ6g8FhiQ7YVrGN6xZfR6wtlufmPtdyXFV/4vVCQyXUlUN9+YH7hipw2MFR7b8/5GawotoigINb3ja8A0NmQezBXSJfW7aHFbsrePiiyWTE9/1JZkT/19PJW4e6hQgxkDXoBgCibbIotxADidb6Y+Bjo+MQHbe3ei85n+dgNVl5+pSn+27i5rCDvRDsBa3f15b4ErWGStDeto8TEg62qINvsUOArb31SlpVVOdP3hr/f4o3Q8kmOP2hg/Yrtjfwt0+2cPSIRM4/ctChhxEiKPV08tbULQTYh69byKU9fE4h+hQ3vkW6wy3yjZ8QQgSr8oZycj7Pwe118/zc58mICuJJLTxuqNgF5bugcg9U7Pbf/I+drbSOhURAdBpEpkLqRAiLh/B4CE9o9jje9zgsFqxRLcaONXk4u+deWwc0JW+NLW8b3wUUjD37oP3u+2gTDreXe84Z329nCBX9T48mb9ItRIjD8+IGCLoFToUQQvi4vC5+t+R3lNaX8vzc5xkRN8LokHy8HijdCsWboGQLlGz23ZdtB6/rwH6WMIjLgrghvq6DMYMhKg2iUvz3qb5Ws36iqLaIqJCoA+umbngXhsz2vV6/3N3lvLd6PzedOJJhSZHGBCpEF/T4Om/SLUSI9rm1BwCryWpwJEIIIVrz0IqHyC3K5a9H/5WJSRONCcLr9bWm7VsF+3+C/augYA246vw7KF+CljQGRs2FpNEQP9y3LTK51XXN+qvC2sIDXSYr83xdJk+5r6lca82Dn2wmKcrG9ccNMyhKIbqmx5M3IUT7PPjGE4SYpOVNCCGCzTvb3uG1za/x83E/56zhZ/XeiT0uKFgLe76D3d9D3o++iULA15KWNgmOvALSpkDKeEgcCSFhvRcf4PZ4KahqIK+ijvyKevLLffdGK6orOtBlcseXvvsRJzaVf7WlmBW7K/jLuRMIt8pHYdG3yE+sEAZz4295M0vLmxBCBJO1JWv5y49/YUbaDH479bc9f8KqfbD9c9j2Oez8+sDYtISRMO5cGDwN0o/wta61Nd4swLTWFFY3sKuklp2ltexqdssrr8PtPTBRuElBWkzvJpCtKaorOrB8w44vfQtzJ40BwOvV/O2TLQxJCGfetCAetyhEGyR5E8Jg0vImhBDBp7S+lFu+uoXk8GQeOvYhLKYe+Mikta/746YPfAlb0Xrf9pgMmHghDDsOMmcdNFarp3i9mn2V9WwtsrO50M7WIjtbi2rYXVpLvcvTtF9oiImhiZGMS4vmtAmpZMaHkxEfTkZcOKkxoVgtJrLf6vFw2+TyuiirL/O1vHk9sHMJjDmzqdvoF5uL2Vxo59GfTZY13USfJMmbEAbzKF/yJi1vQggRHLzay+3f3o7dZeflk14mNpDrcGoNxRth/du+W8VuMFkg8yg4+R4YeYqvlagHx6jVOtxs2F/N+n1VTcnatiI7tc4DSdqg2DBGpkQya3gCQxMjGJYYwdCkCFKiQjGZgnf8XEVDBRpNYliib2xgQyWMOKGp/KmvdzAoNoyzJqUbF6QQ3dCvkrcFCxawYMECAEpKSgyORoiOkZY3IYQILi9vfJllBcu4+6i7D3S/667aMljzOvz0sm9WSGX2tawdeyuMOQPC4gJznkPUOX2J2rr8Ktbt8912lNSg/b0d4yOsjE6J4qLsDEalRDE6NYqRKZFEh/bNa1JpfSkACWEJsPMr38ahcwBYuaec3D0V/PmscVik1U30Uf0qecvJySEnJweA7Gxj1xgRoqPcjcmbLBUghOhB8gVnx2wu38w/Vv2DEzJO4PyR53fvYFrDnh9g5fOw8T3wOGHwdDjjYRh7DkQmBSboptNp9pTVsWJ3OSv3VLBqbwXbi2toHJaWEm1j4qBYzpqUzqTBMYwfFE1yVGhAYzBaY/KWGJYIe5dB0liISADgqa93Ehsews9krJvow/pV8iZEX9TY8mZR8usohOg58gXn4TW4G7jtm9uIs8Vx96y7u75ws8cNG96B7x+DonVgi4GpV/luKeMDFq/L42XD/mpyd5eTu7uC3D0VlNY4AIgJC+HIzFhOm5DGpMExTBwUQ3J0/0rUWlNWXwZAoi0e8pf7JnoB8srr+HxTETfOGSEzTIo+TX56hTCYGy8hWnf9Q4IQQoiAeOKnJ9hZtZOnTnqKuNAudGN01vm6Rf7wBFTthcRRcNY/YeJFYA3vdnxer2ZLkZ3vtpXy3fZSlu8qb5pMJCM+jGNHJpKdFU92VhwjkiKDemxaT2nqNllb7ltaIXMmAG+syEMBl87INDA6IbpPkjchDObBi0UPvAusEEIEk/Wl63l508tcOOpCZg2a1bnKbgesfBG+fQhqinyTj5z+Nxg5F0zdG1tVWNXAN9tK+G5bKT/sKKW0xgnA8KQILsoezPSh8WQPiSc1pv+3qnVEaX0pUSFRhO7/ybchYwZuj5c3c/OYMzqZ9FjjlzIQojskeRPCYB6lsejD7yeEEKJnuDwu/veH/yUxNLFz67l5PbBmISx5wNfSNmQ2XPQCDOlk8teM1pr1+6pZvKmILzYXsX5fNQCJkTaOHpHIbP9NkpDWldaX+iYr2bsMwhMhfhhfbiyi2O7gkunS6ib6PknehDCYF43MeSWEEMZ5dv2zbKvYxuMnPE6UNapjlfYug0W3QsEaSJsCZ/0Dhp/QpSn+HW4PP2wv4/NNRXy5qZjC6gaUgiMz4/jDqaM5fnQyY1KjpHt9B5Q1lPkmK9m6DDJmgFK8vnwvKdE2jh8d2AlihDCCJG9CGE6SNyH6KqXU34GzACewA/iF1rpSKZUFbAK2+Hf9UWt9vb/OVOAFIAz4GLhZay3t7wbZWbmTBWsXcFrWaczJmHP4CvZC+Px/Ye0bEJUOFzwLEy7odNLm8nj5fnspH6wp4LONhdgb3ERYzRw7KokTx6Zw/OgkEiJtXXtRA1hZfRljYoZB+Q444nKK7Q18vbWEX80ZIcsDiH5BkjchDOZFI9+lCtFnfQ7cobV2K6UeBO4AbvOX7dBaT2mlznwgB/gRX/J2KrCoF2IVh9Bac9+y+wizhHHb9NsOtzOsehE+uwvcDXDM73w3a0SHz+fxan7cWcaHa/fzyfpCKupcRIVamDs+lTMmpTFreAI2i7mbr2pgK60vJTEyy/ckfQqL1hXi1XDOFFmUW/QPkrwJYTCNRsl37kL0SVrrz5o9/RG4sL39lVJpQLTWeqn/+UvAuUjyZohPd3/K8sLl3DXzLt84qbZU7IEPboKdSyDrGDjrMUgY3uHzbC+u4T8r83hn1T6K7Q4irGZOGpfCmZPSOXZUoiRsAVLvrqfGVUOCo863IXUSH3y2lTGpUYxM6WB3WCGCnCRvQhhOY5K2NyH6g6uBN5o9H6qU+gmoBv6ktf4WGATkN9sn379N9LI6Vx1/z/07Y+PHcsHIC1rfSWtY+QJ89iff8zMegam/6NAMkvYGFx+uLeA/uXms2luJ2aQ4fnQy5x85iBPGJBMaIglboDWt8VZTClHp7HNFkLunglvnjjY4MiECR5I3IQwmE5YIEdyUUouB1FaK7tRav+ff507ADbzqLysAMrXWZf4xbu8qpcZDq9/UtNn2rpTKwdfFksxMmSkvkJ5a+xTFdcU8fNzDmE2tJFL1lfDBzbDxXRh6HJzzBMQe/v9g4/5qXv5xN+/+tJ96l4eRyZH88fQxnHvEIJKjZDr/ntS4xlti5T5Im8RHa/cDcOakNCPDEiKgJHkTwmAapOVNiCCmtT6pvXKl1JXAmcCJjROPaK0dgMP/eKVSagcwCl9L2+Bm1QcD+9s59wJgAUB2drZ0sA6QXVW7eGnjS5wz/BymJE9puUP+SnjrKqjaByf9H8y6qd3WNqfbyycbCnl56W5W7K4gNMTEOZMHMW96BlMyYmWWyF7S1PJWsRdGncuHawuYNDiGIQkdH5coRLCT5E0Ig3mVTFgiRF+llDoV3wQlx2mt65ptTwLKtdYepdQwYCSwU2tdrpSyK6VmAsuAK4DHjYh9IHsk9xFCzaH8ZupvDi7QGpY/DZ/e4ZtJ8upPIGN6m8epqnPxyrI9vPDDbkrsDjLjw7nz9LFclD2Y2HBrz74I0UJTy5vbRXn0GNbmV3H7aWMMjkqIwJLkTQijaUnehOjDngBswOf+1pXGJQGOBe5RSrkBD3C91rrcX+cGDiwVsAiZrKRXrShcwZL8Jdx85M2+9cAauZ3w8e99M0qOOg3Omw9hca0eY39lPc99t4vXl++l1unh2FFJ/O3CLI4bmYTJJH/RjVLaUIoCYj1ePqhOAyo5aWyy0WEJEVCSvAlhMK00Ji0XeyH6Iq31iDa2vw283UZZLjChJ+MSrfNqLw/nPkxKeAqXj738QEFtKbzxc9j7g2/6/+P/1Go3ye3FduYv2cl7q/ehgbMmpXHdccMZmxbdey9CtKmioYJYFYLFFs37uy0MSQhneFKk0WEJEVCSvAlhMC+tz2AghBAisD7Z9QkbyjZw7+x7CbX4Jw8p2QKvXAi1xb4Ftye2XO1hV2kt//xiG++t3ofNYubymUO45uihZMSH9/IrEO2paKgg1qvxJI7m+53lXDYjU8Ybin5HkjchDKcxyXyTQgjRo5weJ//86Z+MjhvNmcPO9G3MWwGvXQSmEPjFxzBo6kF18srr+OcX2/jvT/sIMSt+ecwwco4dRkKkzYBXIA6n0lFJnMtBoXUITreXk8amGB2SEAHXreRNKfV34CzACewAfqG1rvSX3QFcg6+v/01a60+7F6oQ/ZO0vAkhRM97ffPr7KvZx1MnP+VbGmDbYnjz5xCZAj9/B+KHNu1bWuPgH4u3snB5HiaT4oqjhnDDnOEy1X+Qq6gvJcPlYI03mUibhWlZ8UaHJETAdbfl7XPgDq21Wyn1IHAHcJtSahwwDxgPpAOLlVKjtNaebp5PiH5HK42S9E0IIXpMlaOKBWsXMDt9NrPSZ8Ha/8C710PyWLj8vxDpm9SiweXh+e9386+vtlPv8nDJ9Ax+ffxIUmMkaesLKuvLmOT1sqQqnpnDErBapFeL6H+6lbxprT9r9vRHoLGj+DnAQv86N7uUUtuB6cDS7pxPiP5I1nkTQoie9ez6Z7E77dwy9RZY/Rq8+yvIOhrmvQqhMWit+WhdAQ8s2kx+RT0njU3m9tPGMiJZJrvoK7TWVLjsxHk8LK5O5JpjE4wOSYgeEcgxb1cDb/gfD8KXzDXK929rQSmVA+QAZGZmBjAcESy01tS4aqhyVDXd6tx1ODyOppvT48SrvSjUQYOLFQqzyUyoOZRQS+iBe/8tzBxGqCWUSGskkSGRmFTf+5bNiywVIIQQPaW0vpTXN73O6cNOZ/TeVb7EbdgcuOR1CAljc2E1f3pnPbl7KhiTGsUr18zg6JGJhz2uCC61rlrc2ku018Q+ncjRI+T/UPRPh03elFKLgdRWiu7UWr/n3+dOwA282litlf11a8fXWi8AFgBkZ2e3uo8Ibl7tpaC2gB2VO8iz51FQU0BBbQGFtYUU1BZQ3lCOpxd6zCoUkdZIoq3RRFujibJGtbiPskYRbYsmxhpDtM23X4wthihrFCGmkB6PsTXS8iaEED3n2XXP4vK6uME2BN69AYYdB5e8Tr228tiizTzz7U6iw0K4//yJXJydgVnWaeuTKhwVACgVR1JUmLSain7rsMmb1vqk9sqVUlcCZwInaq0bk698IKPZboOB/V0NUgQPl9fFlvItrClZw6ayTeyo3MGOqh3Uu+ub9rGZbaRFpJEakcrsQbNJCksixhbju1l99xEhEVjNVkLNoVjNVmxmGyZlQvtzfK01jf+8Xi8NngYa3A1N9/Xu+qbn9e567E47dqedamf1Qfe7qnY1PW/wNLT72iJCIpqSucYEsOmx7eDnMbaYgL2nGhnzJoQQPaGotog3t7zJWfETGbLojzD0GJj3Ol/ttHPXu+vJr6jn4uzB3HHaWOIirEaHK7qhosGXvJU745g1PEGWCBD9VndnmzwVuA04Tmtd16zofeA1pdQj+CYsGQks7865hDHq3fWsKFxBbmEua0rWsKFsAw6PA4CE0ARGxI3g/JHnMzx2OCNiR5AZlUl8aHxQ/tF0epzYnXaqnFVUO6qpdlZT5aii2ul7fOi2XVW7mvZ1ep0tjmcjMFNFa4Ukb0II0QOeXvc0Xu3murWfQuYsSs9+ibvf2syHawsYnhTBwpyZzBwmY6P6g8qaAgCKHMnMki6Toh/r7pi3JwAb8Ln/w/qPWuvrtdYblFJvAhvxdae8UWaa7Bu01uys2sl3+77j+33fs7JoJU6vkxBTCGMTxnLx6IuZnDSZyUmTSY1orTdt8LKarSSEJZAQ1rkLtdaaBk9Di+TuD4//ISBxabR0mxRCiAArqCng7a1vca69lsHxo/jiiMf4wxO52Bvc/PbkUVx33DBsFrPRYYoAqSjbCkCxexAzh0pCLvqv7s42OaKdsvuA+7pzfNE7tNZsrdjKp7s/5dPdn7LXvheA4THDmTdmHrMHzWZqylRs5h5alNTrBXeD7+aqb3bvAI8DPE7wuMHrAo/Lf+/2bW983FjWVO6/93p8N+0B7fU/9h64NT1vpdz/WGkPYdpLmNdLSvN9A/XyCezMQUIIIeCp5X9Hed380h3GPXH38NzCLYxLi+a1X05hdGqU0eGJAKus8n12qbcOJSM+zOBohOg58pmxExxuDyt2VbC1yE5lnZMahweXx+sbmaV9E0/4Rv1pdB+YeqXOW8I+97fscy2lVu8HFInm8UywXU2yeTJhnkTK9sL7e+F9tjTVs3gdhHuqCfNUE+6xY/XUEeqtw+atw+ZpvK/13TfbFuJtIEQ7CPE6sfjvQ7QDi3YF/LV5MONRFrzKjMaEV5nxKhMahcaMVgpv070JrUxoTP59TQdva3ruq+tFoQM4q6VGuk0KIUQg5RX+xHt7P+eCOje31N3FinX13Hj8cG4+cZSs/dVPVdTsw6I1qRmTgnLohhCB0q+StwULFrBgwQIASkpKAnrs/+Tm8dePN1FRdyDRiLCasVpMKOX76O37W6FQimbPg4vGgyd0A+6IpXhtvoTM4swiue4kMutSSPc4SGAP8Xot0dQQo+3EYD/ocSgtx38dqo5QagmjjjDqVBjlhFJPFE7icSgrDny3BmXFqawHbXPg34YVJxZcWHBjwY0ZDxbcyuzfZm7a3njvwoIHc+fffN3G43bd3rlztHVqWaRbCCECx1XP0x//ErPSfF9wFXXR6fzn+slMHRJvdGSiB5XWlBDj0UwckXH4nYXow/pV8paTk0NOTg4A2dnZATvuf3LzuPWttcwYGs91xw1j0uBY4sOtmPrCdMIOO1TmUVS8joV7PuG/Feso9zpI1mbOc8B5FeUMatgDfH1wPZMFwuIgLB7C4yEs0/c4LNb/PO7Ac2sU2CLBFgXWSLBGEm4yEW7Ay+1N2f8NzHG8SMubEEIEhNbseesaPjA1kFA5krETTuUv504gwtavPu6IVpTVVxDmNZM9JM7oUIToUfLX7DCq6lz85cONzBwWz8vXzCDEHGTdLbQGewGUbYfSbVC2Ayr3QOVeqMpji6eGF6OjWRQZjhc4tsHJhTqC2WHpWBJSYEgqRKVApP8Wleq7D4sLzqbDfkjWeROi71JK3Q38Emjs7vFHrfXH/rI7gGsAD3CT1vpT//apwAtAGPAxcHOzpXZEN+S/fw8LS77HEx3DRdPuJGfWZOlCN0BUe+sJ8YYxLj3a6FCE6FGSvB3GwhV7qW5w8+ezxhubuHncUL4TitZDyWZ/orbdl6y5ag/sZwlDxw3h++h4XogewjJXOWEmKz9LP5bLxl9JRspkScqCjFeWChCir3tUa/1Q8w1KqXHAPGA8viVzFiulRvlnXp4P5AA/4kveTgUW9XSQPTm0wGhaa75651mOWP8P3sjI4Jj0uVw3O3A9cESQczVgVx7CTFHB9yW7EAEmydthfLB2P5MzYhmb1ovf5NSU+JK0og1QvNH3uHizb+ZFAGWC2ExIGAFDZkPCcEgciY4fzrfVO/j32ifZULaB5NBkbpl0CxeOupBoq3wTFay8gFxqhOh3zgEWaq0dwC6l1HZgulJqNxCttV4KoJR6CTiXXkjeempogdFcHi//fuN9frnljzycNBSXycVvp19vdFiiFznLdlJpNpFsTjI6FCF6nCRv7SivdbJ+XzW3zh3dcyepKYZ9q2D/T7B/FexfDbXFB8ojUyBlPEz/JaRM8D1OHAUhoU27aK35Jv8b5n93KxvKNjAochD/N+v/OGvYWYSYQ3oudhEQMtukEH3er5VSVwC5wO+01hXAIHwta43y/dtc/seHbhddUFnn5Hcvf8ud+26jOjSKRfE2Tkg9huGxw40OTfSivdvXU2UykRgjv0qi/5PkrR0/7a0ACNzg1/oKf5L204GErXqfr0yZIHE0jDgJUif6krSU8RCR2O4hl+5fyj9W/YONZRsZFDmIe2bdw5nDzyTEJElbX+FV0vImRDBTSi0GUlspuhNfF8i/4Pse5i/Aw8DV0Oo3Mrqd7W2dOwdfF0syMzM7FXd/t6OkhmueX85tNQ+SZS7h5WNuwr7zba6deK3RoYlelpe3Dq9SZKa0ufywEP2GJG/t+GlvJWaTYtLg2M5XdjuhaB3k50L+Cti30jdmrVH8MMg8CtKPgEFHQuok34yNHbSlfAuPrnyU7/d/T3pEuiRtfZjMNilEcNNan9SR/ZRSTwMf+p/mA83nLB8M7PdvH9zK9rbOvQBYAJCdnS2Tmvit2lvBL55fwc/5mNNMy3Ce+Gde2v8RM1JnMDFpotHhiV5WUbYNomBIcpbRoQjR4yR5a8eOkhqGxIcTZjW3v6PWUJXvS9Lyc2Ffrq/7Y+MYtag0GDQVjrgc0o+E9Cm+2Ry7oLC2kMd/epwPdnxAlDWK32f/nnlj5mEz27p0PGE8Sd6E6LuUUmla6wL/0/OA9f7H7wOvKaUewTdhyUhgudbao5SyK6VmAsuAK4DHezvuvmzJlmJueGUVx0fs4nfOl2HUGbyflEHxjmLuPfpeo8MTBqiv3wdRENfFz1ZC9CWSvLVjV2ktQxMjWhZ43L7xaXt+OJCw1RT6yiyhkDbFN0Zt8DTfLQB9sKud1Ty77lle3fQqWmuuGn8V10y8hhhbTLePLYwlSwUI0af9TSk1Bd+v8m7gOgCt9Qal1JvARsAN3OifaRLgBg4sFbCIXpispL94b/U+fvfmGqYmw+Puf6LCBuM5+3Ge//QKxieMZ2baTKNDFL3M4fagvWWAmTibJG+i/5PkrQ1er2ZXaS1Hj2g25mz397DiGdj2OTjtvm3xw2DYcf5ELds3qUgAJwlxepy8seUNnlr7FNWOas4cdia/PuLXpEemB+wcwlhepVDSGUqIPklr/fN2yu4D7mtley4woSfj6o9eW7aXP76zjqOGxvNS9L8xbyuGaz7n8+IV7LXv5dE5j8qabgPQloJqTOZaIJq4UEneRP8nyVsbiuwNONxehiRG+FraPvwN/PSyr7vjxAtg2BzIOuawE4p0lVd7+XT3pzy26jH21ezjqLSj+G32bxkTP6ZHzieMI7NNCiFE+15dtoc731nPCWOSeWrCJkI+fB9OuhudfgTPfHARWdFZnJB5gtFhCgNs2Z1HndkLIL2RxIAgyVsbCqsaAEiLDoXP7vQlbkffAsfdBiFhPXruFYUreDj3YTaUbWB03GieOukpZg2a1aPnFMaR5E0IIdr2yo97+NO7vsRt/umxhDx9u+/L01k3892+79hSsYV7Zt2DScm8vQNRwd5tOM0mQk0hhFl69vOZEMFAkrc2FNt9k40Mce2EZU/C9OvgpLt79Jxbyrfw2KrH+Hbft6RGpPLXo//KGcPOkAtSPyc9JoUQonWvLmuWuF0yEduLp/mGJpz3JJhMPLPuGVLCUzhz2JlGhyoMUle8E3uIiThrtNGhCNErJHlrQ2PyNnjbSxASDsf/scfOtb9mP/9a/S8+2PEBkdZIfjv1t1w69lKZQXKAUEjLmxCid63bV0XW7R91qo7FpHj0Z1M4a3LvjLn+YM1+/vTueo4fncT8y4/E9s39vsnCLnoRYgbzU/FPrCpexW3TbiMkgGPNRd+htYbKfCpTzcSGxhsdjhC9QpK3NpRUNxCiPIRu+xDGnwdhsQE/R2VDJU+ve5rXN7+OQnHVhKu4ZoLMIDnQSMubEKK3JUfZuOnEkZ2q86+vtrOpoLpXkrdvt5Xw2zdXkz0kjvmXT8VWtAa+fQQmXwrjzwXgmXXPEGuL5fyR5/d4PCI47a9qIMFTzFqzhbiwJKPDEaJXSPLWhqJqB7PD81GOahhxYkCPXeuq5bVNr/Hc+ueoc9dx9vCzuXHKjaRGpAb0PKJvkDFvQojeltKwk99uvLhTdc63NvBt6a1Az06ctSavkuteXsnwpEieuXIaocoN794AkSlw6v2Ab5jBN/nfcOOUGwkPCe/ReETw2lpoZ5AqpdwSQqas8SYGCEne2lBW6+BY62aoB7KODcgx7U47r216jZc3vUyVo4rjBh/HzUfezMi4zn37KfoZyduEEL0tJMK3xE0nZFb8h7TKn3ooIJ/dpbX84oUVxEdYeenq6cSEhcDiu6FkM1z2VlMvmOfWP0e4JZxLxlzSo/GI4LalyM5RqpQqk0nWeBMDhiRvbaiqdzGa3RCbCZHda4ovbyhn4eaFvLLpFexOO3MGzyFnUg4TkyYGJljRp/m6TUoGJ4ToPSW2cP49/IhO1fHkfcEgT2XPBARUN7i45sUVeLXm5WtmkBwdCvkr4fvH4IjLYeTJAOTZ8/hk9ydcMe4KGWYwwG0ttHOeqZQaFUusLdbocIToFZK8taG63k2mJw+Sxnb5GJvLN/PKxldYtGsRTq+TEzJO4LrJ1zEuYVwAIxV9nXSbFEL0tuL6Yuavmd+5SnERnFm7n54YYebxam56/Sf2lNXx8jUzGJoYAa4GePd6iEqDuX9t2veF9S9gVmZ+Pq7N9dHFALGrsBSTuQaIlQW6xYAhyVsbauoaSHXnQ1Lnph+2O+18tvsz3t/xPquKVxFmCeO8kedx6dhLGRYzrIeiFX2ZL3kTQojeMz5hPLlX5naqTvbzE3Dg7JF4Hli0iSVbSrjvvAkcNTzBt/HrB6F0K1z+NoT6WthK60t5d/u7nDPiHJLDk3skFtE3eLyaupI9VISZAaTlTQwYAUnelFK/B/4OJGmtS/3b7gCuATzATVrrTwNxrt4S3lBAiNkJiaPa3c+rvWyv3M6KwhUsL1jO9/u/x+FxkBWdxe+m/o7zRp4n3TqEEEL0eWFa4cQV8OO+tTKfp7/dxZVHDeGyGUN8GwvXww//hCmXwYiTmvZ9aeNLuLWbq8dfHfA4RN+SV15HsreYSrNvLVxpeRMDRbeTN6VUBnAysLfZtnHAPGA8kA4sVkqN0lp7unu+3uB0e4lzl4AZiBl8UJlXe9lWsY3colxWFK4gtyiXKkcVAIMiB3HeiPM4e/jZTEicgFLSniIOT7pNCiF6Q155HaU1vjVMXR4vBVX1TWUd+Rtk0woXLgqrGnx1Ovlnq7XdtxXbufOddWQPieO644ZRXN0AXg9x7/4asy2Gsll/Qtt956tx2nlj85scN+gkQlUyJf71WDt07gDE2vVzdO5o7e7dRmFn423z/7sLL7y1Kk6Pl32V9a2UtH2Ktt6/+AgrNou5xfZdpbWkqzIqTL7kTVrexEARiJa3R4E/AO8123YOsFBr7QB2KaW2A9OBpQE4X4+rbnCRqsp9T6J969lsKN3Aq5te5dt931LpqAR8ydqcwXOYljqN7NRsBkUOMihi0ZfJOm9CiN7w1Dc7eOVH3/esnlonb6zI61T9EK8JJx4Wrth7+J07wOn28vryvZhNiiMyY3kzNx+Ayfvf4PjCn1g06h62rK0BagBYbX+LOnctMc65vLpsT0BiED1jS6Gd2Q98GZBjzRgazxvXHdVi+87SWgapEiosvo+y0vImBopuJW9KqbOBfVrrNYe0Mg0Cfmz2PN+/rbVj5AA5AJmZmd0JJ2Cq6g9O3l7Z+AoPrniQKGsUxw0+jqPSjyI7JZv0yJ5fqFQMDNLyJoToaVcclcWJY1MAuOkTK+dMOdwXjgd/tbRktxmXcnJ2FxbpPvRLKq01f/14M1X1Lh66cDKTM2IBMNv3kblsPrUZcxh54tWM9H+2cHga+M9Xi5iaNIsrp87q4Fkaz9W9WA+7fxe+gdOdPUsbu3fly7/Ovx+dj/Xx2DDuv2BSh4/VVkyvr8ijuI0W1t2ltUy1VFIYGg0gQ1TEgHHY5E0ptRhobfXoO4E/Aqe0Vq2Vba3+amqtFwALALKzs4OiEaKq3kWaKsdtiWBN5Vb+tuJvnJh5IvfOvpdIa6TR4Yl+RitJ3oToq5RSbwCj/U9jgUqt9RSlVBawCdjiL/tRa329v85U4AUgDPgYuFnrrqQAnTMqJYpRKVEA2Cwm34yOnRCqLLhMDQxL6v518L+r8vlyczG/O3kU50/1D0/QGhb/GdBEnP8YI+KimvZ/ddN7VLsquWnqdYxIlutwsIuLsHLxtIxuH+fHnWX8lFfZatmu0lrOC6lmsy2CqJAQQkwh3T6fEH3BYZM3rfVJrW1XSk0EhgKNrW6DgVVKqen4Wtqa/9YOBvZ3O9peUutwk6IqcEWkMn/1fJLCk/jr0X8lPCTc6NCEEEIEEa31zxofK6UeBqqaFe/QWk9ppdp8fD1OfsSXvJ0KLOrBMH0+vRNWvex7XKPh20cPlHXg+yObx0u10uhvH/WPT+rKACnF/noLf16SwbR4J7+yfQzf+8uKNsDWRTByLmw8MBLDpTUv7nmDI0NTOHL7d7D9uw6dpwvBdaFK50ebdf4cAT5ep8e7deEcxZvg8ew2DtfmqLcWW26vbuAr7xTg+BZlu0prSTVVUm6NINbf+ibEQNDlbpNa63VA0zy9SqndQLbWulQp9T7wmlLqEXwTlowElncz1l5T5/QQRw35YTEsK1zGzUfeLImb6BFaa1mkW4h+QPm+xbwYOOEw+6UB0Vrrpf7nLwHn0hvJ2+Bs8PrnDXvtv5A60V/QsUY/62YbTl2DI3E8oe19emjzcBqv1tz6iRcPmodPiMQcPcZX5G7wLcYdOwSmXgUmc1OdRSW5FLhr+NOIiyFuVAdC7nTHxy4UBbChtEuNrl3pq9mL5wkJa/bzdZhjtROXrfIHjva0/PjY4PKwv6qeuIgyKs3RxNlkvJsYOHpknTet9Qal1JvARsAN3NgbM00uWLCABQsWAFBSUtLl49Q7PWSqGpaH+rpmnJDZ7rVYiC7TWmabFKKfOAYo0lpva7ZtqFLqJ6Aa+JPW+lt847/zm+3T5pjwgBt/nu8GcNdiGNlqx5o22X54iAZ3GXUZxxEaaetSCC99v4vvCzby1/MmkpndbJz74ruhrgzmvQaZM5s2e7WXZzfOZ1TcKI6Z/psutqiJXhd3L1z0fLcPs/PRC0muXt9i+97yOkK0izB3FZUKkkJju30uIfqKgCVvWuusQ57fB9wXqON3RE5ODjk5OQBkZ7fRXN8BdU4PMaqGXIuLFFsKQ6OHBipEIQ6i/TfJ3YQIXu2N/dZaN/bvuwR4vVlZAZCptS7zj3F7Vyk1nk6MCfefO2CTem0p38L+Gt8IBofHwa6qXQfO04E/QmYsNCjFtpJtpHgiO70czv4KJ/cv2saM4ZHMGuNlT7VvxkhL+S7Sf3ic2nFnUx6bDtUHZrP8ft/37KzayR+m/YE8+8GzY7Ybc5d6J3a+UmCn3O+d8wfyy8K2jlXvrmddybrW67Txc9PasXaZGwhX3hbbd5bUkkQlABXaxShpeRMDSI+0vPV1dU43sdSyjQYmJM6U9dpEj5OWNyGCV1tjvxsppSzA+cDUZnUcgMP/eKVSagcwCl9LW/MFRNsdEx7ISb3+s/U/vLHlDQCqHdUs2tW5npoOj4N6k4lvdiwmosraqbpaw1tfJ+PFxpHjN/Pxrg1NBWf98BxOk4X/ZE6gfueHzepo3tr2FjG2GKocVXzYrEwEt51VO7n040u7f6AYGBUawtuHbN5dVkuKqgCg0tMgywSIAUWSt1Y4GuoxmZzkeeo4NXaE0eGIfqxxzJukbkL0aScBm7XWTd0hlVJJQLnW2qOUGoZv7PdOrXW5UsqulJoJLAOuAB7vjSCvmXAN5488H4BLH7uUi0ZdBHR8KvjCzd/jchRxVGI2o0aNanO/1ibOXLyhnF2FO7nllAzmTZ7etN22ZRGxJdupPvEuTpt4+UF1lhUso7S+lN9n/565WXM7FCO083ra3Nz5nLgrdQbS+f8Z9U/+deK/Onasdsa8Pf7ZH6gx1bTYvru0lhFhNdRrRYPXJQt0iwFFkrdWeOsq2RViwYtmRJwkb6Ln+LpNKiR9E6JPm8fBXSYBjgXuUUq5AQ9wvdbav4AoN3BgqYBF9MZkJUBaZBppkWkAWEwWksKTOlU/2hYLDjC5PSSHJx92/0bVDS7+8fk6JgyK5tdzJmI2+f/eOWrgqwchdSLRs35DtPnARxKtNW9ufZP0iHQuHXupTAPfx0RaIzl28LHdPs4r3hDsrVwe8yrqmBNeQ2W9CZAFusXAIslbK1R9OfstvrcmI6r765QI0Rat/eu8aUnehOirtNZXtbLtbWjR26uxLBeY0MNhtdDdSb3CrL514WrrKzpV75HPtlJW4+DZK7MPJG4A3/wd7PvhohfAfPDHkeWFy1lbspa7Zt4lidsAZkLRcsQb5FfUM8RWTYXb131XWt7EQGIyOoBgpBoqKbT4pilODW9tjLoQgaG177IkwyqFED0tJyeH3NxccnNzSUrqXKsbQITNt2h2XX1lh+vsKKnhlR/3MG96JpMGxx4oKNkCS5+AKZdD5owW9RasXUByWDLnjDin03GK/qO18eBer2Z/ZT1ppioqIxIAaXkTA4skb60wOaspNFuwmizEh8YbHY7ox2SdNyFEX9GUvDVUHWbPA+7/eDOhIWZuOanZGDmt4eNbwRoBJ93dos5PxT+xvHA5V024Cpu5a0sSiP5BofAecnkstjtweTQJupyK8FhAWt7EwCLJW2uctRRazKSEJshMk6JndWnRVCGE6H2RYTEA1Ds7lrwt3VHG4k1F3DBnOElRzZKwDe/Arq/hhLsgsmUL4IK1C4izxXHByAsCErfouxSqxdQo+RV1AMS4S6m0+dbjlUW6xUAiyVsrlKuWYouZlLCOD8gWoitkkW4hRF8RG+HriVLvbDn736G8Xs29H21kUGwY1xzdbK1Uhx0+/SOkToLsq1vU21C2ge/2fccV468gPCQ8YLGLvkmplsnbvsp6AEIbiim3hmJSJqKsUb0fnBAGkeStFWZ3HeUmM/FhCUaHIvo9f7dJaeEVQgS5mE4kbx+uK2DD/mpunTua0BDzgYKv/wb2/2/vzuOjLM/9j3+ubCSEECCgLEEBAVE5ioJL1VoVRbQtbqioLZ62ltrTo572tH3p6dH+uvirradaxaqlUm1PW2mrdatUe1xwoSgHd9H6A0Ex7AkhQCDLzFy/P54nISSThWQmM5P5vl+vvJjcz3M/c+VhknuuubeN8OlbISe3Tb1fvvVLSgpKmHPonITFLZksXs/bHvrRQG59Ddvz8igtKCU3zmtJpK9S8hZHbmQ3O3JzGKTkTZLMPaaeNxHJCIVFgwCoa9zZ4XnRmHP70/+PiQcOYNZRI/ce2PIPePkuOPrzMPrYNvXerXqXZ9Y9w+cO+xwDCgYkMnTJUDntDJuc2L8WgOocY1DhoF6PSySVlLzFkR/bTU1ODqVavUiSzN1xU+omIumvf9FQABobO+55+8tbG/hgay3XTp9ITtPWAO6w+JtQMCDuIiUA81+fT2m/UuYePjeRYUsms7YLllRU7+HwkmDe23aPar6bZB0lb3G47yZqRqlWL5Ik8+YFS5S+iUh6KwrnoEWjte2eE405tz+ziknDSzh7coutdt55CD58EabfAMVD29R7bfNrvLT+Jb44+YvqdZNm8T7aXF+9h/FFQe9vdaxe2wRI1lHyFkfEgoaptF9piiORvi4WiwJK3UQk/fXPC5K3iLefvD325nrWbK3l2ukT9va61e2Ap74DI46CqV9oU8fdueP1OxhaNJRLJ12alNglM7XepNvdWb99DwcVBMnb9kittgmQrKPkLY6IBSsZ6Q+CJFss3KRbC5aISLrLz82nKAb11MU9Ho05dzyzmknDSzjriBa9bs//GHZthk/fFneRkmUblvHq5leZd+Q8ivKKkhW+ZCAjZ585bzV7GqmPxBhu1XhOPtvrd6jnTbKOkrc4lLxJb2lK3jTrTUQywQDPpSGngVis7R6Vi9/eyNrKWq5p2eu2eSW8fDdMvQLKp7ap09TrNrJ4JLMnzE52+JJhLJzz1jTFYNOO4IODMt/GroEjiHhE79Uk6yh5a8XdacxpANC+IZJ8YYOk5E1EMsEAy6cuJ0plbf0+5e7OXUs+4JBhxcxs6nVzhye+CYWlMP27ca/39LqnWVm1kquOuor83Pxkhy8ZxiyHGND0WcHmHcHrrqSxiu0DghXB1fMm2UbJWysN0Rie0whAcX5xiqORvs5jWrBERDLHwNwidufG2LB936GTS97fynsbd3DVpw7Z2+v25iJY9/dgdcn+Q9pcqyHawK0rbmXC4AnMOmRWL0QvmSYnHDYZCz/o3Bz2vPWv30p1cZC0qedNso2St1bqIzFiOREAjb2XpPNwKramvIlIJhhUUMKuHNi0taq5zN2587nVjBpUxHlHjwoK92yH/7kByo8N9nWL43fv/Y6KXRV8c9o3tcmyxGVmxDCi0aCt3FwTJG95uzdTXTgQQFsFSNZR8tZKQyRG1IIVAJtW1hJJlpi2ChDJCGZ2kZmtNLOYmU1rdex6M1ttZu+b2Vktyqea2dvhsTvMgo9pzKyfmf0hLH/FzMb08o/TbWXFZdTk5lCzeW1z2fK123j1o2rmnTKO/NzwbcWzP4TdjpCVRgAAIkVJREFUVfDpn0JO27caVXuqWPDWAk4pP4UTR57YW+FLhskhZ585b5t31jGiKIbV1VDdL/iAXT1vkm2UvLXSEInRkBMjz03j7yXpYrGmBUtEJM29A1wAvNCy0MwOB+YARwAzgbvMrKkb6W5gHjAh/JoZln8JqHb38cBtwI+THn2ClA04kJqcHLZtXNNcdudzqykrLuDiaaODgg1vwIqFcOyVwfYAccx/fT57Inv492n/3gtRS6YKet4gFg1GRG2qqWfSgGCD7urcAkBz3iT7KHlrpT5M3opMQzgk+VyrTYpkBHd/z93fj3PoXGCRu9e7+1pgNXCcmY0ABrr7Mg+6DX4DnNeizq/Dxw8C05t65dJdackoYmZs27oagL+vruTFVZV85VPjKCrIhWgEHrsaiofBad+Je403trzBQ6se4vLDLmdc6bjeDF8yTNDzZs17om7ZWcf4ol0AVOca+Tn5Wp9Aso6St1YaIjHqc6CQvFSHIlnAtc+bSKYbBXzc4vuKsGxU+Lh1+T513D0C1ABlSY80AQ4cNB6A+vp1VFTv5qbF7zGytJC5nxgTnLBsPmx6C865BYoGtanfGGvke8u+x/Di4Xxtytd6L3DJSGbB29RoJEjeNu+o4+B+OwCoJsbgwsFkyOceIgnT4+TNzK4Ox/mvNLOftCiPOwcg3dU3Rqg3p9CUvEnyaZ83kfRhZk+b2Ttxvs7tqFqcMu+gvKM68WKaZ2YrzGzF1q1bO/4BesHwgeUAlORvYtadS1m5YQc3fvZwCvNzoeoDWHIzTPoMHB7/lv323d+yevtqrj/uevrna165dKwpMYvEGohEY2zdWc+o3BoAqmP1DClsu4qpSF/XowzFzE4jGP5xpLvXm9kBYXnLOQAjgafNbKK7R3sacLI1NjawJ8coMs13k+TzmJI3kXTh7md0o1oFMLrF9+XAhrC8PE55yzoVZpYHlALb2olpAbAAYNq0aXETvN40vDjYw21o8TasBr511qHMnDwCYtFguGRuPzjnv+LW/WjHR9z95t2cOvpUTj/o9N4MWzJU0/TRaDRCVW0DMYcDrBpy+1HdWKvFSiQr9bTn7avAze5eD+DuW8LyuHMAevhcvaKxvo49OUZhTkGqQ5Es0LRVgJYsEclYjwFzwhUkxxIsTLLc3TcCO83shHA+21zg0RZ1rggfzwaedfeUJ2ZdMbRoKLkYO72GV799Al87LRhGyUu3wkdLYeaPYOCINvUisQj/8eJ/kJ+Tz38e/5+9HLVkqpzwbWo0GmXrzmCD7sHRKig5kOr6ai1WIlmpp8nbROCT4VLHz5vZsWF5e3MA2ki3ISGRhj3sthz65/ZLdSiSDcK3axqzL5LezOx8M6sAPgE8YWZPAbj7SuCPwLvAk8DXWowy+SpwL8EHmB8Afw3LFwJlZrYa+AZwXa/9ID2Ul5PHsH6D2JSbCx88GxSufRGe+xFMng1TLotb79637+Wtyre44YQbOLD4wF6MWDJZTvOwyUYqdwXJ24DGKigZQXVdtYZNSlbqdNikmT0NDI9z6Dth/cHACcCxwB/NbBz7MZ4/kUNCFixYwIIFCwDobiLY2FDP7hxjuHrepBfE1PMmkhHc/WHg4XaO3QTcFKd8BTA5TnkdcFGiY+wtYwZP5INdlbD8l1AwAP70z1A2Hj5za9zFl17Z+Ap3v3k354w9h5ljZ7a9oEg7mnreYtFGqnY1AFBYt4WG4Yexq26jNuiWrNRp8tbRHAAz+yrw53C4x3IziwFDaX8OQFLNmzePefPmATBt2rROzo4v0rCbOjOKcgsTGZpIXNrnTUQyzaFDJvHA5hVE1rxI3ocvwpBD4PN/hsLSNudu3LWRbz3/LcYOHMuNn7gxBdFKJrOcYM5bJBalqjboecvfvZmtxSdDnfZ4k+zU0yUVHwFOB5aY2USgAKgkGM//ezO7lWDBkgnA8h4+V6+INtRTb0Y/DZuUXrB3nzcRkcxw6JBDafAoH513B4fEDI44H/qVtDlvV8Murn3uWhpjjdx22m3aj0v2W1PPWyQaoWoXlOY1YPU7qS4MXm9K3iQb9TR5+xXwKzN7B2gArgh74VaaWdMcgAj7zgFIb5E6Gszol6/kTZLPY82T3lIbiIhIF00eGowEfbWoiEMOvTjuOXWROq5+9mpWVa9i/vT5jC0d25shSh/RtM9bLNZIVW2Mif1roQG29Qu2mdCwSclGPVqwxN0b3P1z7j7Z3Y9x92dbHLvJ3Q9x90Pd/a8dXSedeKSp503DJiX5YuFUUC1YIiKZYszAMZQPKGfJx0viHt/VsIt/feZfeXXzq9x08k2cPOrkXo1P+o7cpk26oxGqdtVzSOEuAKrzg3UJtGCJZKMeb9Ld10Qa9hAzozC/KNWhSBZo2ipA+7yJSKYwM848+Ez+vuHvrN+1fp9ja2rWcMWTVzQnbueMOydFUUqf0JS8xaJU1TZwUH64QXc4F07DJiUbKXlrJRqtBaBfnnreJPk81jSaWMmbiGSOyw67jFzL5YalN1C1p4qNuzZy5+t3csnjl7Bl9xZ+Pv3nfPaQz6Y6TMlwuU2bdMeC1SZH5W0HoNqiGMbAgoEpjE4kNXo6563PiUTC5E09b9ILwsUm1fMmIkmXiO10mgwvHs53T/wuNy69kVP/eGpz+YyDZ3DdcdcxrP+wHl1fBCCnqectEqFyVz0HDqqBvEKqI7sZ1G8QuWEPnEg2UfLWSmN0DwBF+f1THIlkB+3zJiK9IxHb6bQ065BZHDbkMF5c/yL9cvtx0siTGFM6psfXFWnSlLzVNjRQH4lR5tugZDjV9ds1ZFKylpK3VqKR3QAUFmhJY0m+YHFWLVgiIplpwuAJTBg8IdVhSB/VtM/b9t11QD6lkUooGUF1XbWSN8lamvPWSiRWB0C/AvW8SfJpnzcREZH4cqxl8gYDGiqDnre6am0TIFlLyVsr0Wg9AP3y1PMmyRdrSt7U8yYiIrKPpmGTNbXhB+t1W2DAcKrr1fMm2UvJWyuN3gBAQb5Wm5Tkaxo2qb43ERGRfeWEwyZr9tRTzB5yG2uJDTiQ7ZrzJlmsz855+/DDD7s1IXvr1q0MGzaMa+ZfD1yf+MC6EUuqpUsckF6x/OMf/0jAVcI5b0reRKQX9bSNTLV0iQPSJ5Z0iQMS1T7u7XnbWVfPAbYdgJr+g4h5TBt0S9bqs8lbZWVlt+pNmzaNFStWJDia7kmXWNIlDki/WHoqFu7zpmGTItKbMr2NTJc4IH1iSZc4IDHtI0BeOOdtx546Ruc1AlBZEIyMKisqS8hziGQaDZsUSaFY07BJJW8iac3MLjKzlWYWM7NpLcrPNLNXzezt8N/TWxxbYmbvm9kb4dcBYXk/M/uDma02s1fMbEwKfiSRtJeX27RgST3jCncCUJkX9DsMLRyasrhEUqnP9ryJZILmrQI0bFIk3b0DXAD8olV5JfBZd99gZpOBp4BRLY5f7u6tu0O+BFS7+3gzmwP8GLgkSXGLZKzc3OBtam1dPaP710IjVFrQbg4tUvIm2Uk9b600bWCaDtIllnSJA/peLK5NukUygru/5+7vxyl/3d03hN+uBArNrF8nlzsX+HX4+EFgumXI2Ol0+RucLnFA+sSSLnFA4mJp6nmDGCNyaiCviG3hfrxK3iRbKXlrpS/+8eupdIkD+l4srq0CRPqSC4HX3b2+Rdl94ZDJG1okaKOAjwHcPQLUABkxgSdd/ganSxyQPrGkSxyQuFjyc4Ket1yLMdy2wcARVNZVUZhbSHG+tnSS7KRhkyKp1DxsUkRSzcyeBobHOfQdd3+0k7pHEAx/nNGi+HJ3X29mJcBDwOeB3xD/V97jlGFm84B5AAcddFCnP4NIX5KXVwBArkUo821QMpLKPZWUFZXpQ0/JWkreRFIo1rReiTrBRVLO3c/oTj0zKwceBua6+wctrrc+/Henmf0eOI4geasARgMVZpYHlALb2olpAbAAYNq0aXETPJG+Ki8/GIGcS4RBkUoomUDlnkoNmZSsllXvGMeMGcM//dM/MWXKlLjL2Lo711xzDePHj+fII4/ktddeaz725JNPcuihhzJ+/HhuvvnmpMbxu9/9jiOPPJIjjzySE088kTfffLPLdRMdy5IlSygtLWXKlClMmTKF73//+83HEnlPuhLLLbfc0hzH5MmTyc3NZdu2bV2quz+2b9/O7NmzmTRpEocddhjLli3b53giXydNc970CaJIZjKzQcATwPXuvrRFeZ6ZDQ0f5wOfIVj0BOAx4Irw8WzgWW9avShF0qV97Eos2dhGpkv7CL3bRuaHPW/5FqG4oRJKhit5E3H3tPmaOnWqJ9PBBx/sW7dubff4E0884TNnzvRYLObLli3z4447zt3dI5GIjxs3zj/44AOvr6/3I4880leuXJm0OJYuXerbtm1zd/fFixc3x9GVuomO5bnnnvNPf/rTbcoTfU+6EktLjz32mJ922mndqtuZuXPn+i9/+Ut3d6+vr/fq6up9jifydfL315/0yfdP9jse+npCYhfJJMAKT4O2pytfwPkEPWb1wGbgqbD8P4Fa4I0WXwcAxcCrwFsEC5ncDuSGdQqBPwGrgeXAuK7EkMw2Ml3ax67Eko1tZLq0j+6920YueesBn3z/ZP/KD+a6f3eg+9/v9E8+8En/wbIfJOznEUlHHbWPGjbZwqOPPsrcuXMxM0444QS2b9/Oxo0b+fDDDxk/fjzjxo0DYM6cOTz66KMcfvjhSYnjxBNPbH58wgknUFFRkZTn6Ynly5f36j1p7YEHHuDSSy9N+HV37NjBCy+8wP333w9AQUEBBQUF+5yTyNdJLBZr95iIpA93f5hgaGTr8h8CP2yn2tR2rlUHXJS46JIvXdpHUBvZmWS1j9D7bWS//P4AlNl2ABoHDKO6vpqywoxY30ckKbJq2KSZMWPGDKZOncqCBQvaHF+/fj2jR49u/r68vJz169e3W56sOFpauHAhZ599drfqJiqWZcuWcdRRR3H22WezcuVKoP17lexYAHbv3s2TTz7JhRdeuN91O7NmzRqGDRvGF77wBY4++miuvPJKamtr9zknka8TzXkTkXSQLu1jV2JpKVvayHRoH6H328jCgiIAhuRUA7Ct3wAAyoqUvEn2yqqet6VLlzJy5Ei2bNnCmWeeyaRJkzjllFOaj3ucKQdm1m55suJo8txzz7Fw4UJeeuml/a6bqFiOOeYYPvroIwYMGMDixYs577zzWLVqVcLvSVdiafL4449z0kknMWTIkP2u25lIJMJrr73G/PnzOf7447n22mu5+eab+cEPftB8TmJfJ9H9jlFEJNHSpX3sSixNsqmNTIf2EXq/jSzID5K3wVYDQGVe8LZVc94km/Xo434zm2JmL4d72Kwws+NaHLvezFab2ftmdlbPQ+25kSNHAnDAAQdw/vnns3z58n2Ol5eX8/HHHzd/X1FRwciRI9stT1YcAG+99RZXXnkljz76KGVlZftVN5GxDBw4kAEDgk+6zjnnHBobG6msrEz4PelKLE0WLVrUZkhIou5LeXk55eXlHH/88QDMnj17n8nWTeck6nUSC7vetGCJiKRSurSPXYkFsq+NTIf2EXq/jcwPh02W5gTJ26bwA88Diw/s9s8gkul6OlbrJ8D33H0KcGP4PWZ2ODAHOAKYCdxlZrk9fK4eqa2tZefOnc2P//a3vzF58uR9zpk1axa/+c1vcHdefvllSktLGTFiBMceeyyrVq1i7dq1NDQ0sGjRImbNmpW0ONatW8cFF1zAf//3fzNx4sT9qpvoWDZt2tT8adny5cuJxWKUlZUl9J50NRaAmpoann/+ec4999z9rtsVw4cPZ/To0bz//vsAPPPMM23G4yf2ddKUvGnYpIikRrq0j12NJdvayHRpH6H328j8vCB5K7R6KBrMpvpgBc3h/eNtxyiSHXo6bNKBgeHjUmBD+PhcYJG71wNrzWw1wf42y9peInHcvXkOUWsbNm7iwgsvACAaiTBnzqWcceYMfn7XXQDM+8pVnHnWTP7yxBOMHz+eov79uffehTRGYzg53Hb7Hcw46yyi0Sj//M9fYMKhh9EQieHx91UN42lbtq5iA5dcNBsIhh9cMmcOp04/k/k/D+L48ryv8N3/8z2qqqq46qv/AkBeXh5Ll73CRx9vYM7Fs3GcaCTKxXPmcMrpZ7C7IdLhczYfa/X92nXrueySpliiXHTJJZx06nR+Nv/nAHzpy/P47QN/YOEvf0FeXh6FhUUs/PVv2VkfPN9Pbv0ZZ86YQTQa43Nzr6B83ERq9jR2/KT7HNp78MMPP+Zzcy4GIBqNcOHFczj+k6dz6+13AvCFK+cB8PtFf+LU08+gnnzqaxuCums/Zu6lFzff0wsvvoRjTz6Nql31nd6DfY6FB79380+55NLLaGho4OAxY7njrgXc8rM7AeeKL32ZaZ88nRGPPM7YcYdQ1L8/t9/1C7bsqAPghz+5lTPOnEE0GuXSz13BsNGHsDk8Fs+OuuBnMG3TLSIpsnnzZs4//3wg+Bt62WWXMXPmTO655x4ArrrqKs455xwWL17M+PHj6d+/P/fddx8QtE933nknZ4Xt4xe/+EWOOOKIpMby/e9/n6qqKv7lX/a2kStWrGi3bjJjefDBB7n77rvJy8ujqKiIRYsWYWYJvS9diQPg4YcfZsaMGRQXF3datyfmz5/P5ZdfTkNDA+PGjeO+++5L2mulqeet0QxKRrC5djMFOQUMKRzSYT2RvszijUHucmWzw4CnACPoxTvR3T8yszuBl939t+F5C4G/uvuDHV1v2rRpvmLFim7Hs65qN6fc8ly364v0tkP6vcmWcQ9w9eDPMG/Wj1IdjkivMrNX3b3nG09liZ62kSKZZsvuLUz/03RurKziouEn8+3yMbxT9Q6LL1ic6tBEkqqj9rHTnjczexqI1z/9HWA68HV3f8jMLgYWAmdA3G6EuFmimc0D5gEcdNBBnYXTodKifL5x5sQOz+mof6OjaUc9mZPU4XU7iKjjer3/nB0/X8cVu33fe/Kc3b1/HVRM9H1vqKrmp1th5KD+nVxZREQku+Tn5APQiMHgg9m0exPDizVkUrJbp8mbu5/R3jEz+w1wbfjtn4B7w8cVwOgWp5azd0hl6+svABZA8Kli5yG3r7R/PtdMn9CTS4j0qjWryvjpVsjL0Zw3ERGRlpqTNzMYdDCbNrzJtAPVWS/ZrafvGDcAnwofnw6sCh8/Bswxs35mNhaYAPRsySeRPmjvvD/NeRMREWkpP3dv8hYdfDBbdm/RSpOS9Xq6YMmXgdvNLA+oIxz+6O4rzeyPwLtABPiau2tDK5FWmpM3bRUgIiKyjzwL3qY2GmwZVE7Uo4woHpHiqERSq0fJm7u/BExt59hNwE09ub5IX+ceA7TapIiISGu5ObnkWg6Nh57DOoLVmQ8eeHCKoxJJrZ72vKWXnZvhiW+0f7zDlTU7WtM+GfVS8ZydxJN296ejy/aN++ONO6C/NukWERGJJz+ngMiwQ1m3cx0AB5X0bHE7kUzXt5K3WASqP+zkpG4vQdjBoU7XIOxm3Ux6zk7i6dXntPbrdiVH6sWf0/PzgN3YkHFdCExERCS7FOQWsCeyh3U71lGQU6A5b5L1+lbyVjoKvro01VGIdN229+Hx2VjR4FRHIiIiknZKCkrY1biLLbu3MLpkNDmm1Zklu+k3QCSFmhYs0Zw3kfRmZheZ2Uozi5nZtBblY8xsj5m9EX7d0+LYVDN728xWm9kdFo6PDldi/kNY/oqZjUnBjySSEUoKStjVsIs1NWs0300EJW8i6UG5m0i6ewe4AHghzrEP3H1K+HVVi/K7CVZhnhB+zQzLvwRUu/t44Dbgx8kLWySzlRSUsHn3Zj7a8RGTyialOhyRlFPyJpJC7up5E8kE7v6eu7/f1fPNbAQw0N2XefCL/hvgvPDwucCvw8cPAtNNqxaJxFWSX8J7297DcQ4bcliqwxFJOSVvIimkYZMifcJYM3vdzJ43s0+GZaOAihbnVIRlTcc+BnD3CFADlPVWsCKZpKxo76/G5KGTUxiJSHroUwuWVO6p5KaX299azjtYzt07Ws69o3odLhHf/qGeXDcpsQYn9I14khBrZ3U7rNfBdXc37ga0VYBIOjCzp4HhcQ59x90fbafaRuAgd68ys6nAI2Z2BPEHQzf9MejoWOuY5hEMveSgg7REumSf8YPGA8EWAUOLhqY4GpHU61PJWyQW4cMdH3Z4Tkdvkjvq/ejwWCdvvLvbq9LdWDs73u3rdngoBfF0Yn+v21TWbj3r2c8Z71BBbgGnlp/K4WWHd3hdEUk+dz+jG3Xqgfrw8atm9gEwkaCnrbzFqeXAhvBxBTAaqDCzPKAU2NbO9RcACwCmTZvWg80xRTLTjDEzeKHiBeYeMTfVoYikhT6VvA0vHs7D5z6c6jBERCRLmNkwYJu7R81sHMHCJGvcfZuZ7TSzE4BXgLnA/LDaY8AVwDJgNvCsd7drX6SPG1o0lHvOvKfzE0WyhOa8iYiIdMLMzjezCuATwBNm9lR46BTgLTN7k2DxkavcvakX7avAvcBq4APgr2H5QqDMzFYD3wCu66UfQ0REMlyf6nkTERFJBnd/GGgztMPdHwIeaqfOCqDNCgvuXgdclOgYRUSk71PPm4iIiIiISAZQ8iYiIiIiIpIBlLyJiIiIiIhkACVvIiIiIiIiGUDJm4iIiIiISAawdNpaxsy2Ah8l4FJDgcoEXKcv0T1pS/ekLd2TtnRP2krUPTnY3Ycl4DpZIUFtpF7PbemexKf70pbuSVu6J20l4p602z6mVfKWKGa2wt2npTqOdKJ70pbuSVu6J23pnrSle5K59H/Xlu5JfLovbemetKV70lay74mGTYqIiIiIiGQAJW8iIiIiIiIZoK8mbwtSHUAa0j1pS/ekLd2TtnRP2tI9yVz6v2tL9yQ+3Ze2dE/a0j1pK6n3pE/OeRMREREREelr+mrPm4iIiIiISJ+i5E1ERERERCQD9Knkzcxmmtn7ZrbazK5LdTypZmajzew5M3vPzFaa2bWpjildmFmumb1uZn9JdSzpwswGmdmDZvaP8DXziVTHlGpm9vXwd+cdM3vAzApTHVNvM7NfmdkWM3unRdkQM/sfM1sV/js4lTFK16iN3JfayPapjdyX2se21D4GUtFG9pnkzcxygZ8DZwOHA5ea2eGpjSrlIsC/u/thwAnA13RPml0LvJfqINLM7cCT7j4JOIosvz9mNgq4Bpjm7pOBXGBOaqNKifuBma3KrgOecfcJwDPh95LG1EbGpTayfWoj96X2sQW1j/u4n15uI/tM8gYcB6x29zXu3gAsAs5NcUwp5e4b3f218PFOgj82o1IbVeqZWTnwaeDeVMeSLsxsIHAKsBDA3RvcfXtKg0oPeUCRmeUB/YENKY6n17n7C8C2VsXnAr8OH/8aOK83Y5JuURvZitrI+NRG7kvtY7uyvn2E1LSRfSl5GwV83OL7CvRHuJmZjQGOBl5JcSjp4GfAt4FYiuNIJ+OArcB94VCZe82sONVBpZK7rwf+C1gHbARq3P1vqY0qbRzo7hsheAMMHJDieKRzaiM7oDZyHz9DbWRLah9bUfvYqaS2kX0pebM4ZdoHATCzAcBDwL+5+45Ux5NKZvYZYIu7v5rqWNJMHnAMcLe7Hw3UkuVD4cIx6ucCY4GRQLGZfS61UYl0m9rIdqiN3EttZFxqH1tR+5hafSl5qwBGt/i+nCztwm3JzPIJGqXfufufUx1PGjgJmGVmHxIMGzrdzH6b2pDSQgVQ4e5Nnzo/SNBYZbMzgLXuvtXdG4E/AyemOKZ0sdnMRgCE/25JcTzSObWRcaiNbENtZFtqH9tS+9ixpLaRfSl5+19ggpmNNbMCgomTj6U4ppQyMyMYo/2eu9+a6njSgbtf7+7l7j6G4DXyrLtn/adF7r4J+NjMDg2LpgPvpjCkdLAOOMHM+oe/S9PJ8knqLTwGXBE+vgJ4NIWxSNeojWxFbWRbaiPbUvsYl9rHjiW1jcxL5MVSyd0jZvavwFMEq978yt1XpjisVDsJ+Dzwtpm9EZb9h7svTl1IksauBn4XvrFbA3whxfGklLu/YmYPAq8RrEr3OrAgtVH1PjN7ADgVGGpmFcB3gZuBP5rZlwga8YtSF6F0hdrIuNRGSlepfWxB7eNeqWgjzV1D3kVERERERNJdXxo2KSIiIiIi0mcpeRMREREREckASt5EREREREQygJI3ERERERGRDKDkTUREREREJAMoeRPpAjNbYmZntSr7NzO7az+vc4uZrTSzW+IcO8/MbtyPa91vZl+Jc43FZlZgZi+YWZ/ZDkRERNKTme3q5PipZvaXHlz/38xs7n6c326bbWbDzOzJ7sYikmpK3kS65gGCDUtbmhOWNzOz3E6u8xXgGHf/Vpxj3wb2JxlsNyZ3bwCeAS7Zj+uJiIiklfBDyC8Cv9+Pah21j1uBjWZ2UoJCFOlVSt5EuuZB4DNm1g/AzMYAI4GXwk8UnzOz3xNs9pob9rD9r5m91dQ7ZmaPAcXAK2a2T1JlZhOBenevDL+/38zuDq+7xsw+ZWa/MrP3zOz+sNrTwCQzGxHW6Q+cATwSHn8EuDxJ90NERGQfFrjFzN4xs7dbtXUDzexhM3vXzO4xs5ywvby/xflfj3PZ04HX3D0SPscSM7stHF3ynpkda2Z/NrNVZvbDsE67bXZ4/BHUPkqG0pAqkS5w9yozWw7MBB4l+ATvD+7uZgZwHDDZ3dea2Tygxt2PDRuOpWb2N3efZWa73H1KnKc4CXitVdlggkZrFvB4eM6VwP+a2RR3f8PM/gxcDNwenvecu+8M678DHJuwmyAiItKxC4ApwFHAUIL26oXw2HHA4cBHwJPhuWuBUe4+GcDMBsW55knAq63KGtz9FDO7lqBNngpsAz4ws9s6arPD+iuAHyKSgdTzJtJ1LYdhtB4yudzd14aPZwBzzewN4BWgDJjQybVHAFtblT0eNjRvA5vd/W13jwErgTGdxeTuUaDBzEq69NOJiIj0zMkEQxOj7r4ZeJ69HyIud/c1Ydv0QHjuGmCcmc03s5nAjjjXjNc+Phb++zaw0t03unt9eL3R4bGO2uwtBD1xIhlHyZtI1z0CTDezY4Aid2/ZU1bb4rEBV7v7lPBrrLv/rZNr7wEKW5XVh//GWjxu+r6p13wpMMLMjgJOBBa3ukY/oK6T5xYREUkE6+CYt/7e3asJeumWAF8D7o1Tr7vt4yO032YXhtcVyThK3kS6yN13ETQwv6LVQiWtPAV81czyIZjPZmbFnVz+PWB8N2Jy4I/Ar4HF7t6cqJlZGbDV3Rv397oiIiLd8AJwSTiXbRhwCrA8PHacmY01sxyCxbReMrOhQI67PwTcABwT55rdbR87arMnEkwtEMk4St5E9s8DBJ8SLurgnHuBd4HXzOwd4Bd0Pr/0BeBoCyfQJSim02jbEyciIpIsDwNvAW8CzwLfdvdN4bFlwM0ESdPa8NxRwJJwmsH9wPVxrvlXgiSwOzpqH5/o5jVFUsr2zt0UkVQys9sJ5rk9naDr/Rm43t3fT8T1REREUsHMHiZIBFcl6HovAOeGwzZFMop63kTSx/8F+ifiQmZWADyixE1ERPqA6wgWLumxcDjnrUrcJFOp501ERERERCQDqOdNREREREQkAyh5ExERERERyQBK3kRERERERDKAkjcREREREZEMoORNREREREQkA/x/YBiAJjvgRMQAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "ax = plot(dA1, t1, t2, label='$\\\\alpha$ = 0')\n", + "ax = plot(dA2, t1, t2, axes=ax, label='$\\\\alpha$ = 0.4')\n", + "ax = plot(dA3, t1, t2, axes=ax, label='$\\\\alpha$ = 0.8')\n", + "ax[0].legend(loc='lower right')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "69238c29", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Final Vm: 17.391284289675845\n", + "Final Vm: 18.281535649949276\n", + "Final Vm: 19.267820632864428\n" + ] + } + ], + "source": [ + "sA.reset()\n", + "sA.set_constant('amp.alpha', 0)\n", + "sA.set_constant('amp.beta', 0)\n", + "sA.pre(t1)\n", + "dA1 = sA.run(t0)\n", + "print(f'Final Vm: {dA1[\"amp.Vm\"][-1]}')\n", + "\n", + "sA.reset()\n", + "sA.set_constant('amp.alpha', 0.4)\n", + "sA.set_constant('amp.beta', 0.4)\n", + "sA.pre(t1)\n", + "dA2 = sA.run(t0)\n", + "print(f'Final Vm: {dA2[\"amp.Vm\"][-1]}')\n", + "\n", + "sA.reset()\n", + "sA.set_constant('amp.alpha', 0.8)\n", + "sA.set_constant('amp.beta', 0.8)\n", + "sA.pre(t1)\n", + "dA3 = sA.run(t0)\n", + "print(f'Final Vm: {dA3[\"amp.Vm\"][-1]}')" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "657ac711", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "ax = plot(dA1, t1, t2, label='$\\\\alpha$ = 0')\n", + "ax = plot(dA2, t1, t2, axes=ax, label='$\\\\alpha$ = 0.4')\n", + "ax = plot(dA3, t1, t2, axes=ax, label='$\\\\alpha$ = 0.8')\n", + "ax[0].legend(loc='lower right')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "d6a73e64", + "metadata": {}, + "source": [ + "## Lei-style model (1, 2b, 3b, 4, 5, 6b)\n", + "\n", + "As with the uncompensated model, we can write the Sigworth and Lei-style models using very similar equations:\n", + "\n", + "\\begin{align}\n", + "2b. && C_f\\dot{V}_o = \\frac{V_p-V_o}{R_f} + \\frac{V_p-V_m}{R_s} + \\left(C_p+C_f\\right)\\dot{V}_p - C_m^* \\dot{V}_\\text{est} - C_p^* \\dot{V}_\\text{ref}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "3b. && \\tau_c\\dot{V}_p = V_\\text{ref} - V_p\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "6b. && R_f I_\\text{obs} = V_o - V_p\n", + "\\end{align}" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "41558131", + "metadata": {}, + "outputs": [], + "source": [ + "mB = myokit.parse_model('''\n", + "[[model]]\n", + "desc: Compensated model (1, 2b, 3b, 4, 5, 6b)\n", + "amp.Vm = -80\n", + "amp.Vo = -80\n", + "amp.Vp = -80\n", + "amp.Ve = -80\n", + "amp.Vr = -80\n", + "\n", + "[engine]\n", + "time = 0 [ms] in [ms] bind time\n", + "pace = 0 bind pace\n", + "\n", + "[amp]\n", + "alpha = 0.7\n", + "beta = 0.7\n", + "Rs = 15e-3 [GOhm] in [GOhm]\n", + "Rs_est = 14e-3 [GOhm] in [GOhm]\n", + "Cm = 25 [pF] in [pF]\n", + "Cm_est = 24 [pF] in [pF]\n", + "Cp = 5 [pF] in [pF]\n", + "Cp_est = 4.9 [pF] in [pF]\n", + "Rf = 0.5 [GOhm] in [GOhm]\n", + "Cf = 0.15 [pF] in [pF]\n", + "tau_amp = 20e-6 [ms] in [ms]\n", + "tau_sum = 10e-3 [ms] in [ms]\n", + "tau_c = tau_amp * (Cf + Cp) / Cf in [ms]\n", + "I = 10 [nS] * Vm\n", + " in [pA]\n", + "Vc = engine.pace * 1 [mV]\n", + " in [mV]\n", + "dot(Vm) = (Vp - Vm) / (Rs * Cm) - I / Cm : Eq 1\n", + " in [mV]\n", + "dot(Vo) = ((Vp - Vo) / Rf + (Vp - Vm) / Rs +\n", + " (Cp + Cf) * dot(Vp) - Cm_est * dot(Ve) - Cp_est * dot(Vr)\n", + " ) / Cf : Eq 2b\n", + " in [mV]\n", + "dot(Vp) = (Vr - Vp) / tau_c : Eq 3b\n", + " in [mV]\n", + "dot(Ve) = (Vc - Ve) / ((1 - beta) * Rs_est * Cm_est) : Eq 4\n", + " in [mV]\n", + "dot(Vr) = (Vc + alpha * Rs_est * I_obs + beta * Rs_est * Cm_est * dot(Ve) - Vr) / tau_sum : Eq 5\n", + " in [mV]\n", + "I_obs = (Vo - Vp) / Rf : Eq 6b\n", + " in [pA]\n", + "''')\n", + "mB.check_units(myokit.UNIT_STRICT)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "20af2cd7", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Final Vm: 17.391284603331233\n", + "Final Vm: 18.281535669170975\n", + "Final Vm: 19.26782029658473\n" + ] + } + ], + "source": [ + "sB = myokit.Simulation(mB, p)\n", + "sB.set_tolerance(tol, tol)\n", + "\n", + "sB.reset()\n", + "sB.set_constant('amp.alpha', 0)\n", + "sB.set_constant('amp.beta', 0)\n", + "sB.pre(t1)\n", + "dB1 = sB.run(t0)\n", + "print(f'Final Vm: {dB1[\"amp.Vm\"][-1]}')\n", + "\n", + "sB.reset()\n", + "sB.set_constant('amp.alpha', 0.4)\n", + "sB.set_constant('amp.beta', 0.4)\n", + "sB.pre(t1)\n", + "dB2 = sB.run(t0)\n", + "print(f'Final Vm: {dB2[\"amp.Vm\"][-1]}')\n", + "\n", + "sB.reset()\n", + "sB.set_constant('amp.alpha', 0.8)\n", + "sB.set_constant('amp.beta', 0.8)\n", + "sB.pre(t1)\n", + "dB3 = sB.run(t0)\n", + "print(f'Final Vm: {dB3[\"amp.Vm\"][-1]}')" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "4504e066", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "ax = plot(dB1, t1, t2, label='$\\\\alpha = \\\\beta = 0$')\n", + "ax = plot(dB2, t1, t2, axes=ax, label='$\\\\alpha = \\\\beta = 0.4$')\n", + "ax = plot(dB3, t1, t2, axes=ax, label='$\\\\alpha = \\\\beta = 0.8')\n", + "ax[0].legend(loc='lower right')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "831b6edd", + "metadata": {}, + "source": [ + "To be safe, we also test with the Lei model in its original formulation:" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "1b5315d1", + "metadata": {}, + "outputs": [], + "source": [ + "mC = myokit.parse_model('''\n", + "[[model]]\n", + "desc: Lei formulation. Should equal (1, 2b, 3b, 4, 5, 6b)\n", + "amp.Vm = -80\n", + "amp.Vp = -80\n", + "amp.Ve = -80\n", + "amp.Vr = -80\n", + "amp.I_obs = 0\n", + "\n", + "[engine]\n", + "time = 0 [ms] in [ms] bind time\n", + "pace = 0 bind pace\n", + "\n", + "[amp]\n", + "alpha = 0.7\n", + "beta = 0.7\n", + "Rs = 15e-3 [GOhm] in [GOhm]\n", + "Rs_est = 14e-3 [GOhm] in [GOhm]\n", + "Cm = 25 [pF] in [pF]\n", + "Cm_est = 24 [pF] in [pF]\n", + "Cp = 5 [pF] in [pF]\n", + "Cp_est = 4.9 [pF] in [pF]\n", + "Rf = 0.5 [GOhm] in [GOhm]\n", + "Cf = 0.15 [pF] in [pF]\n", + "tau_amp = 20e-6 [ms] in [ms]\n", + "tau_sum = 10e-3 [ms] in [ms]\n", + "tau_c = tau_amp * (Cf + Cp) / Cf in [ms]\n", + "I = 10 [nS] * Vm\n", + " in [pA]\n", + "Vc = engine.pace * 1 [mV]\n", + " in [mV]\n", + "dot(Vm) = (Vp - Vm) / (Rs * Cm) - I / Cm\n", + " in [mV]\n", + "dot(Vp) = (Vr - Vp) / tau_c\n", + " in [mV]\n", + "dot(Ve) = (Vc - Ve) / ((1 - beta) * Rs_est * Cm_est)\n", + " in [mV]\n", + "dot(Vr) = (Vc + alpha * Rs_est * I_obs + beta * Rs_est * Cm_est * dot(Ve) - Vr) / tau_sum\n", + " in [mV]\n", + "I_in = I + Cp * dot(Vp) + Cm * dot(Vm) - Cp_est * dot(Vr) - Cm_est * dot(Ve)\n", + " in [pA]\n", + "dot(I_obs) = (I_in - I_obs) / (Rf * Cf)\n", + " in [pA]\n", + "''')\n", + "mC.check_units(myokit.UNIT_STRICT)\n", + "sC = myokit.Simulation(mC, p)" + ] + }, + { + "cell_type": "markdown", + "id": "bcb13453", + "metadata": {}, + "source": [ + "## Model predictions overlayed" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "f0b470e2", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "for s in (sA, sB, sC):\n", + " s.reset()\n", + " s.set_constant('amp.alpha', 0.7)\n", + " s.set_constant('amp.beta', 0.7)\n", + " s.set_tolerance(1e-10, 1e-10)\n", + " s.pre(t1)\n", + "\n", + "dt = 1e-3\n", + "dA = sA.run(t0, log_interval=dt).npview()\n", + "dB = sB.run(t0, log_interval=dt).npview()\n", + "dC = sC.run(t0, log_interval=dt).npview()\n", + "\n", + "tz = 0.05\n", + "ax = plot(dA, t1, t2, label='A')\n", + "ax = plot(dB, t1, t2, ax, label='B', ls='--')\n", + "ax = plot(dC, t1, t2, ax, label='C', ls=':')\n", + "ax[0].legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "0cb8af78", + "metadata": {}, + "source": [ + "Most traces look the same, but $V_o$ differs a bit between model A and model B, while $I_\\text{obs}$ differs a bit between model A and models B and C." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "f8f9844c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "t = dA.time()\n", + "logs = (dA, dB, dC)\n", + "names = ('A', 'B', 'D')\n", + "colors = ['tab:blue', 'tab:orange', 'tab:green', 'tab:red']\n", + "v = 'amp.I_obs'\n", + "\n", + "fig = plt.figure(figsize=(15, 10))\n", + "for (i, j, k) in ((0, 0, 1), (1, 0, 2), (2, 1, 2)):\n", + " ax1 = fig.add_subplot(2, 3, 1 + i)\n", + " ax1.plot(t, logs[j][v], color=colors[j], label=f'{names[j]} {v}')\n", + " ax1.plot(t, logs[k][v], color=colors[k], label=f'{names[k]} {v}', ls='--')\n", + " ax1.set_ylim(-3100, 500)\n", + " ax2 = fig.add_subplot(2, 3, 4 + i)\n", + " ax2.plot(t, logs[j][v] - logs[k][v], color='k', label=f'{names[j]} - {names[k]}')\n", + " ax1.legend()\n", + " ax2.legend()\n", + " if i == 0:\n", + " ax1.set_ylabel('Iobs')\n", + " ax2.set_ylabel('Difference')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "44f4fbea", + "metadata": {}, + "source": [ + "We see that the models show very similar output, but a difference between A and B can be detected when the two signals are subtracted.\n", + "As before, the reformulation of B doesn't affect the results." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.6" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/artefacts/appendix-B3-sigworth-rs.ipynb b/artefacts/appendix-B3-sigworth-rs.ipynb new file mode 100644 index 0000000..09a36a7 --- /dev/null +++ b/artefacts/appendix-B3-sigworth-rs.ipynb @@ -0,0 +1,217 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "8cb8168d", + "metadata": {}, + "source": [ + "# Appendix B3: Sigworth 1983/1995 Rs compensation\n", + "**Appendix B discusses and compares patch clamp model equations**\n", + "\n", + "In this notebook, we take a detailed look at the $R_s$ compensation and slow capacitance transient cancellation scheme in figures 18 and 19 of [Sigworth 1995a](https://doi.org/10.1007/978-1-4419-1229-9_4), and re-derive the equations found in **[REF-TO-PREPRINT-WITH-SUPERCHARGING]**." + ] + }, + { + "cell_type": "markdown", + "id": "99becc66", + "metadata": {}, + "source": [ + "First, we name the voltage after the $T_\\text{sc}$ block $V_\\text{est}$.\n", + "To find an equation, we detransform the transfer function:\n", + "\n", + "\\begin{align}\n", + "T_\\text{sc} = \\frac{A_2}{R_2C_2s + 1}\n", + "\\end{align}\n", + "\n", + "Looking back a few pages, we see that $C_2$ is fixed, but $R_2$ is chosen so that $R_2C_2 \\approx R_sC_m$.\n", + "Translating to our own notation, and ignoring the true electronic implementation, we write\n", + "\n", + "\\begin{align}\n", + "R_2C_2 = R_s^*C_m^*\n", + "\\end{align}\n", + "\n", + "Similarly, $A_2$ was chosen so that $A_2C_i \\approx C_m$, where $C_i$ is the fixed capacitance used for slow transient cancellation.\n", + "Although this may be a seperate estimate in practice, we will simplify by writing\n", + "\n", + "\\begin{align}\n", + "A_2C_i = C_m^*\n", + "\\end{align}\n", + "\n", + "Going back to the transfer function, we find\n", + "\n", + "\\begin{align}\n", + "T_\\text{sc} = \\frac{A_2}{R_s^*C_m^*s + 1} \n", + "\\quad \\rightarrow \\quad\n", + "V_\\text{est} + R_s^*C_m^*\\dot{V}_\\text{est} = A_2 V'_c\n", + "\\end{align}\n", + "for\n", + "\\begin{align}\n", + "\\dot{V}_\\text{est} = \\frac{A_2 V'_c - V_\\text{est}}{R_s^*C_m^*}\n", + "\\end{align}\n", + "\n", + "In words, $V_\\text{est}$ is $A_2$ times larger than $V'_c$, and lags behind it with a time constant set by our estimates of $R_s$ and $C_m$." + ] + }, + { + "cell_type": "markdown", + "id": "82573e67", + "metadata": {}, + "source": [ + "### The updated command voltage\n", + "\n", + "To find the voltage $V'_c$ we write the equation for the $\\alpha R_s s C_i$ block, using \"$\\beta$\" instead of Sigworth's \"$\\alpha$\" and \"$R_s^*$\" instead of \"$R_s$\":\n", + "\n", + "\\begin{align}\n", + "V'_c &= V_c + \\beta R_s^*C_i\\dot{V}_\\text{est} \\\\\n", + " &= V_c + \\beta R_s^*C_i \\frac{A_2 V'_c - V_\\text{est}}{R_s^*C_m^*} \\\\\n", + "(1 - \\beta) V'_c &= V_c - \\beta\\frac{C_i}{C_m^*}V_\\text{est} \\\\\n", + "V'_c &= \\frac{V_c - \\beta\\frac{C_i}{C_m^*}V_\\text{est}}{(1 - \\beta)}\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "3d347350", + "metadata": {}, + "source": [ + "Substituting this into the equation for $\\dot{V}_\\text{est}$ we find\n", + "\n", + "\\begin{align}\n", + "R_s^*C_m^* \\dot{V}_\\text{est} &= A_2V'_c - V_\\text{est} \\\\\n", + "(1 - \\beta)R_s^*C_m^* \\dot{V}_\\text{est} &= A_2V_c - \\beta\\frac{A_2C_i}{C_m^*}V_\\text{est} - (1 - \\beta)V_\\text{est} \\\\\n", + "&= A_2V_c - (\\beta + 1 - \\beta)V_\\text{est}\n", + "\\end{align}\n", + "for\n", + "\\begin{align}\n", + "\\dot{V}_\\text{est} &= \\frac{A_2V_c - V_\\text{est}}{(1 - \\beta)R_s^*C_m^*}\n", + "\\end{align}\n", + "\n", + "In words, $V_\\text{est}$ is $A_2$ times larger than $V_c$, and lags behind it with a time constant set by our estimates of the membrane capacitance and _the uncompensated fraction of series resistance_ $(1-\\beta)R_s^*$.\n" + ] + }, + { + "cell_type": "markdown", + "id": "a6f1d52b", + "metadata": {}, + "source": [ + "As a result, the term fed back into $V'_c$ is $\\beta R_s^*C_m^*\\dot{V}_\\text{est}$ which can be understood as $\\beta R_s^*C_m^* \\dot{V'}_\\text{c-with-lag}$." + ] + }, + { + "cell_type": "markdown", + "id": "9caa1568", + "metadata": {}, + "source": [ + "### Slow transient cancellation\n", + "\n", + "Slow transient cancellation is implemented by feeding $\\dot{V}_\\text{est}$ into a capacitor $C_i$, leading to a term\n", + "\n", + "\\begin{align}\n", + "I_\\text{SC} = A_2C_i\\dot{V}_\\text{est} = C_m^*\\dot{V}_\\text{est}\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "58a06d60", + "metadata": {}, + "source": [ + "### Series resistance compensation\n", + "\n", + "The original series resistance compensation takes the updated command potential as input:\n", + "\n", + "\\begin{align}\n", + "\\dot{V}_\\text{ref} = \\frac{V'_c + \\alpha R_s^*I_\\text{obs} - V_\\text{ref}}{\\tau_\\text{sum}}\n", + "\\end{align}\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "4a3afb96", + "metadata": {}, + "source": [ + "## Simplification\n", + "\n", + "We can omit the \"implementation details\" involving $A_2$ to write:" + ] + }, + { + "cell_type": "markdown", + "id": "1bd8f5d7", + "metadata": {}, + "source": [ + "\\begin{align}\n", + "\\dot{V}_\\text{est} &= \\frac{V_c - V_\\text{est}}{(1 - \\beta)R_s^*C_m^*} && \\text{Estimate of }V_m\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "V'_c &= V_c + \\beta R_s^*C_m^*\\dot{V}_\\text{est} && \\text{Prediction}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "V_\\text{ref} &= V'_c + \\alpha R_s^* I_\\text{obs} && \\text{Correction}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "I_\\text{SC} = C_m^* \\dot{V}_\\text{est} && \\text{Slow capacitance correction}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "I_\\text{FC} = C_p^*\\dot{V}_\\text{ref} && \\text{Fast capacitance correction}\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "ae7f2c65", + "metadata": {}, + "source": [ + "Although we used $V_c'$ in the derivation of $\\dot{V}_\\text{est}$, it only appears in the equation for $V_\\text{ref}$ in the final model, and so we can simplify further by writing\n", + "\n", + "\\begin{align}\n", + "V_\\text{ref} &= V_c + \\alpha R_s^* I_\\text{obs} + \\beta R_s^* C_m^* \\dot{V}_\\text{est} && \\text{Correction-Prediction}\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "9ee0928d", + "metadata": {}, + "source": [ + "A schematic for this set-up is shown below" + ] + }, + { + "cell_type": "markdown", + "id": "8df15eb7", + "metadata": {}, + "source": [ + "\n", + "\n", + "_A schematic showing series resistance prediction and correction and separate pathways for fast and slow capacitance correction._" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.6" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/artefacts/appendix-C1-symbols.ipynb b/artefacts/appendix-C1-symbols.ipynb new file mode 100644 index 0000000..28cbd80 --- /dev/null +++ b/artefacts/appendix-C1-symbols.ipynb @@ -0,0 +1,97 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "d0146af1", + "metadata": {}, + "source": [ + "# Appendix C1: Names & symbols\n", + "**Appendix C discusses variable names and values**" + ] + }, + { + "cell_type": "markdown", + "id": "17f1b74c", + "metadata": {}, + "source": [ + "The following table may help when comparing publications." + ] + }, + { + "cell_type": "markdown", + "id": "2eb50569", + "metadata": {}, + "source": [ + "| Symbol | Description | Sigworth 1995a | Weerakoon et al 2009 | Lei et al 2020 | HEKA | Axon | Other names |\n", + "|:---------------:|:---------------------|:--------------:|:--------------------:|:--------------------|:----------------|:----------------|:------------------|\n", + "| $R_\\text{leak}$ | Leak or Seal R | | | $R_\\text{seal}$ | $R_\\text{memb}$ | $R_\\text{seal}$ | $1/g_\\text{leak}$ |\n", + "| $R_s$ | Series R | āœ“ | $R_S$ | āœ“ | $R_s$, R-series | $R_a$, $R_s$ | Access R |\n", + "| $R_f$ | Feedback R | āœ“ | āœ“ | āœ“ | Feedback R | | |\n", + "| $C_f$ | Feedback C | āœ“ | āœ“ | āœ“ | | | Stray, Shunt |\n", + "| $C_p$ | Parasitic C | $C_\\text{in}$ | $C_\\text{prs}$ | āœ“ | | | Pipette, Fast, Stray |\n", + "| $C_p+C_f$ | Total input C | $C_t$ | $C_t$ | | | | |\n", + "| $C_m$ | Membrane C | āœ“ | āœ“ | āœ“ | | | Slow |\n", + "| $\\tau_f$ | Feedback tau | āœ“ | $\\tau_z$ | $\\tau_Z$ | | | Transductor tau |\n", + "| $\\tau_a$ | Op amp tau | $\\tau_A$ | $\\tau_\\text{Amp}$ | | | | |\n", + "| $\\tau_c$ | | $\\tau_2$ | $\\tau_\\text{clamp}$ | $\\tau_\\text{clamp}$ | | | |\n", + "| $R_sC_m$ | Membrane access tau | $\\tau_a$ | $\\tau_a$ | $\\tau_a$ | | | |\n", + "| $V_o$ | Op amp output V | $V_B$ | $V_T$ | | | | |\n", + "| $V_c$ | Command V | $V_\\text{ref}$ | $V_\\text{com}$ | $V_\\text{cmd}$ | | | Reference V |\n", + "| $E_\\text{off}$ | Offset potential | | | $V_\\text{off}$ | | | |\n", + "| $I$ | Current of interest | | $I_m$ | $I_\\text{ion}$ | | | Membrane I |\n", + "| $I_\\text{obs}$ | Observed current | | $I_\\text{in}$ | $I_\\text{out}$ | I-mon | | Recorded I |" + ] + }, + { + "cell_type": "markdown", + "id": "595f4595", + "metadata": {}, + "source": [ + "| Symbol | Description | Sigworth 1995a | Lei et al 2020 | Other names |\n", + "|:----------------:|:-------------------------|:--------------:|:-----------------|:------------|\n", + "| $R_s^*$ | Estimated $R_s$ | | āœ“ | |\n", + "| $C_p^*$ | Estimated $C_p$ | $(A_1 - 1)C_i$ | $C_\\text{inj}$ | C fast |\n", + "| $C_m^*$ | Estimated $C_m$ | | āœ“ | C slow |\n", + "| $V_\\text{ref}$ | Adjusted command V | $V_\\text{ref}$ | $V_\\text{clamp}$ | |\n", + "| $E_\\text{off}^*$ | Estimated $E_\\text{off}$ | | $V_\\text{off}^*$ | |\n" + ] + }, + { + "cell_type": "markdown", + "id": "e291c44b", + "metadata": {}, + "source": [ + "_āœ“ indicates the same signal is used as in these notebooks._\n", + "\n", + "_R, C, V, I, and tau indicate resistance, capacitance, voltage, current, and time-constants._\n", + "\n", + "_Names for variables and their estimates are sometimes used interchangeably._\n", + "\n", + "_Althought the symbol $C_p$ is commonly used, \"pipette\" capacitance is due to other factors such as the pipette holder._\n", + "\n", + "_\"To shunt\" means to move, bypass, or divert, and is often_ [_used in electronics_](https://en.wikipedia.org/wiki/Shunt_(electrical))." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.3" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/artefacts/appendix-C2-parameter-defaults.ipynb b/artefacts/appendix-C2-parameter-defaults.ipynb new file mode 100644 index 0000000..3d4b052 --- /dev/null +++ b/artefacts/appendix-C2-parameter-defaults.ipynb @@ -0,0 +1,88 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "fc24dbb4", + "metadata": {}, + "source": [ + "# Appendix C2: Default parameter values\n", + "**Appendix C discusses variable names and values**" + ] + }, + { + "cell_type": "markdown", + "id": "e184af6f", + "metadata": {}, + "source": [ + "Here we present the \"default\" values used in these notebooks.\n", + "Other choices are possible." + ] + }, + { + "cell_type": "markdown", + "id": "3e6bd67d", + "metadata": {}, + "source": [ + "## Basic model\n", + "\n", + "| Parameter | Value | Motivation |\n", + "|:------------------|:--------------|:----------------------------------------------------------------------|\n", + "| $R_s$ | 15 M$\\Omega$ | A 5$\\Omega$ pipette with an additional 10$\\Omega$ at the seal |\n", + "| $C_m$ | 25 pF | A small cell such as a HEK or CHO cell |\n", + "| $C_p$ | 5 pF | Based on own experience |\n", + "| $R_f$ | 0.5 G$\\Omega$ | Similar to HEKA, Axon, and Sutter ([appendix B](./appendix-B-Rf-and-Cf.ipynb)) |\n", + "| $C_f$ | 0.15 pF | Similar to HEKA ([appendix B](./appendix-B-Rf-and-Cf.ipynb)) |\n", + "| $\\tau_\\text{amp}$ | 20e-6 ms | Based on Sigworth 1995 ([appendix C](appendix-C-tau-amp.ipynb)) |\n", + "\n", + "Values are rounded to reflect uncertainty in the true values." + ] + }, + { + "cell_type": "markdown", + "id": "482bff5f", + "metadata": {}, + "source": [ + "## Compensation\n", + "\n", + "\n", + "| Parameter | Value | Motivation |\n", + "|:------------------|:----------|:---------------------------------------------------------------|\n", + "| $\\alpha$ | 0.7 | Typical setting |\n", + "| $\\beta$ | 0.7 | Typical setting |\n", + "| $\\tau_\\text{sum}$ | 10 $\\mu$s | Default for HEKA and Axon ([appendix L](./appendix-L-tau-sum)) |\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "92f0e461", + "metadata": {}, + "source": [ + "## Estimates\n", + "\n", + "Estimates for $R_s$, $C_m$, and $C_p$ are set at or near their true values" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.6" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/artefacts/appendix-C3-parameter-values.ipynb b/artefacts/appendix-C3-parameter-values.ipynb new file mode 100644 index 0000000..7d90f45 --- /dev/null +++ b/artefacts/appendix-C3-parameter-values.ipynb @@ -0,0 +1,334 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "44ff9bab", + "metadata": {}, + "source": [ + "# Appendix C3: Parameter values\n", + "**Appendix C discusses variable names and values**" + ] + }, + { + "cell_type": "markdown", + "id": "d36bb82b", + "metadata": {}, + "source": [ + "In this notebook, we discuss estimates for $R_s$, $C_m$, $C_p$, $R_f$ and $C_f$, $\\tau_\\text{sum}$, and $\\tau_\\text{amp}$.\n", + "\n", + "For $R_s$, $C_m$, and $C_p$ we mostly record _the expected range used in compensation_, rather than experimentally obtained values." + ] + }, + { + "cell_type": "markdown", + "id": "e3df4447", + "metadata": {}, + "source": [ + "## 1. Series resistance $R_s$\n", + "\n", + "### Values\n", + "\n", + "| Source | $R_s$ |\n", + "|:-----------------------------------|---------------|\n", + "| Armstrong & Chow 1987 | 4 MOhm |\n", + "| Alembic VE-2 (low range) | 0-20 MOhm |\n", + "| Alembic VE-2 (high range) | 0-100 MOhm |\n", + "| Alembic VE-2 model cell | 5 MOhm |\n", + "| A-M Systems 2400 | 0-100 MOhm |\n", + "| Axon Axopatch 200B range | 0-100 MOhm |\n", + "| Axon Patch-1U model cell | 10 MOhm |\n", + "| Hamill et al. 1981 | 20 MOhm |\n", + "| HEKA EPC-9 | 0.1-10e3 MOhm |\n", + "| HEKA EPC-10 | 0.1-10e3 MOhm |\n", + "| HEKA EPC-10 manual \"typical value\" | 5 MOhm |\n", + "| HEKA Model cell MC9 | 5.1 MOhm |\n", + "| Molleman recommendation (page 107) | $<20$ MOhm |\n", + "| Penner 1995 \"typical value\" | 5 MOhm |\n", + "| Sutter IPA | 1-100 MOhm |\n", + "| Warner PC-505B | 0-10 MOhm |\n", + "\n", + "### Origin and definition\n", + "\n", + "Consists _at least_ of the pipette resistance, followed by the resistance of the connection to the cell.\n", + "Many of the papers in the [references](./references.ipynb) page have schematics.\n", + "\n", + "The Axon pClamp manual 10.4.1 defines \"access resistance\" $R_a$ as\n", + "> Access resistance ($R_a$) is the sum of the electrode resistance and resistance due to current-impeding factors near the electrode tip, e.g. cellular debris, etc.\n", + "> ...\n", + "> Electrode resistance ($R_e$), also called pipette resistance ($R_p$), is the resistance due to the electrode.\n", + "> It does not include resistance due to environmental current-impeding factors near the electrode tip, e.g. cellular debris, air bubbles, poorly conducting solution etc.\n", + "> ...\n", + "> $R_a = R_e + R_\\text{debris}$\n", + "\n", + "#### Pipette resistance\n", + "\n", + "The pipette resistance is visible before the seal is made, and indicates the size of the aperture in the pipette (plus an offset for whatever resistance was incurred before the tip).\n", + "Once a seal is made, it adds to the total series/access resistance.\n", + "\n", + "Some values:\n", + "\n", + "| Source | Value |\n", + "|:-----------------------------------------|-----------|\n", + "| Axon guide \"conventional patch pipettes\" | 2-4 MOhm |\n", + "| Cahalan & Neher | 1-10 MOhm |\n", + "| Molleman 2002 \"low resistance\" | $<2$ MOhm |\n", + "| Molleman 2002 \"medium\" | 2-7 MOhm |\n", + "| Molleman 2002 \"very small tip\" | $>7$ MOhm |\n", + "| Penner 1995 \"typical value\" | 2 MOhm |\n" + ] + }, + { + "cell_type": "markdown", + "id": "7b6489c1", + "metadata": {}, + "source": [ + "## 2. Membrane capacitance $C_m$\n", + "\n", + "### Values\n", + "\n", + "| Source | $C_m$ |\n", + "|:-----------------------------------------|--------------|\n", + "| Alembic VE-2 model cell | 47 pF |\n", + "| A-M Systems 2400 | 0-100 pF |\n", + "| Armstrong & Chow 1987 | 18 pF |\n", + "| Axon Axopatch 200B range | 0.3-1000 pF |\n", + "| Axon Axopatch 1D | 0-100 pF |\n", + "| Axon Patch-1U model cell | 33 pF |\n", + "| HEKA EPC-9 | 0.12-1000 pF |\n", + "| HEKA EPC-10 | 0-1000 pF |\n", + "| HEKA EPC-10 manual \"typical value\" | 20 pF |\n", + "| HEKA Model cell MC9 | 22 pF |\n", + "| Sutter IPA | 1-100 pF |\n", + "| Warner PC-505B | 0-100 pF |\n", + "\n", + "### Origin and definition\n", + "\n", + "Depends on the cell size.\n", + "Usually taken to be about 1pF per $\\text{cm}^2$, although when error bars are given it can easily be 2.\n", + "\n", + "The membrane of ventricular cells is often estimated by approximating it as a cylinder and then multiplying by 2 to account for the membrane's many tubules and invaginations.\n", + "\n", + "#### Membrane resistance $R_m$\n", + "\n", + "A related quantity is the cell resistance, which is typically used to create model cells.\n", + "A few examples:\n", + "\n", + "| Source | Value |\n", + "|:-------------------------|----------|\n", + "| Alembic model cell | 100 MOhm |\n", + "| Axon model cell Patch-1U | 500 MOhm |\n", + "| HEKA Model cell MC9 | 500 MOhm |\n" + ] + }, + { + "cell_type": "markdown", + "id": "5d6c1942", + "metadata": {}, + "source": [ + "## 3. Pipette capacitance $C_p$\n", + "\n", + "### Values\n", + "\n", + "| Source | $C_p$ |\n", + "|:----------------------------------------------|----------|\n", + "| Alembic VE-2 | 0-10pF |\n", + "| Alembic VE-2 model cell | 2pF |\n", + "| A-M Systems 2400 | 0-10 pF |\n", + "| Axon Axopatch 1D front panel (fast component) | 0-10 pF |\n", + "| Axon Axopatch 200B range (fast component) | 0-10 pF |\n", + "| Axon Patch-1U model cell | 4 pF |\n", + "| Hamill et al. 1981 | 5 pF |\n", + "| HEKA EPC-9 | 0-15 pF |\n", + "| HEKA EPC-10 | 0-15 pF |\n", + "| Poler et al 2005 | 10-15 pF |\n", + "| Sutter IPA | 0-25 pF |\n", + "| Warner PC-505B (2nd component) | 0-15 pF |\n", + "\n", + "### Origin and definition\n", + "\n", + "More properly called the \"fast\" or \"parasitic\" capacitance, it represents the lumped capacitances of the pipette and many things attached to the pipette.\n", + "\n", + "The \"fast capacitance\" $C_p$ is described by Sigworth (1995) as\n", + "\n", + "> ...$C_p$ is the capacitance of the pipette and holder...\n", + "> ...fast capacitance $C_p$, which arises mainly in the pipette and holder and has negligible series resistance...\n", + "> ...the capacitance $C_p$, which includes contributions from the input connector, the pipette\n", + "holder, and the capacitance of the pipette itself.\n", + "\n", + "Poler et al. (2005) blame it mostly on other sources:\n", + "\n", + "> The deeper the microelectrode is immersed, the higher the capacitance (typically 1 pF/mm). In addition, the pipette holder also introduces a capacity of 1ā€“2 pF, and the input amplifier adds another 2ā€“10 pF, resulting in a total stray capacitance of 10ā€“15 pF\n", + "\n", + "The EPC-10 manual mentions that, _without anything attached to the probe input_, it measures about 1-1.5pF.\n", + "\n", + "#### Two-component model and lag\n", + "\n", + "Compensation circuitry often splits $C_p$ into two components, and provides an additional \"lag\" control for its filtering.\n", + "Axon devices use a \"slow\" and a \"fast\" component, while Warner use a fast and an even faster component.\n", + "\n", + "| Source | Slow Cp | tau | Fast Cp | tau | Faster Cp | tau |\n", + "|:--------------|---------|----------|---------|-------------|-----------|-------------|\n", + "| Axopatch 200b | 0-1 pF | 0.1-10ms | 0-10 pF | 0.2-2 us | | |\n", + "| Axopatch 1D | 0-1 pF | 0.1-10ms | 0-10 pF | 0.2-5 us | | |\n", + "| EPC-9 | | | 0-15 pF | 0.5-8 us | | |\n", + "| PC-505B | | | 0-15 pF | 0.33-8.5 us | 0-5 pF | 0.1-1.75 us |" + ] + }, + { + "cell_type": "markdown", + "id": "5c18a21f", + "metadata": {}, + "source": [ + "## 4. Measuring resistance $R_f$ and its capacitance $C_f$\n", + "\n", + "### Values\n", + "\n", + "| Amplifier / Source | $R_f$ | $C_f$ | $R_f C_f$ |\n", + "|:------------------------------------------|------------------|---------|--------------|\n", + "| Alembic VE-2 | 10 M$\\Omega$ | | | \n", + "| A-M Systems 2400 | 10 M$\\Omega$ | | |\n", + "| A-M Systems 2400 | 100 M$\\Omega$ | | |\n", + "| A-M Systems 2400 | 1 G$\\Omega$ | | |\n", + "| A-M Systems 2400 | 10 G$\\Omega$ | | |\n", + "| Armstrong & Chow 1987 | 10 M$\\Omega$ | 0.5 pF | 5 $\\mu$s |\n", + "| Axon CV 203BU, whole-cell, default | 500 M$\\Omega$ | 1 pF | 500 $\\mu$s |\n", + "| Axon CV 203BU, whole-cell, large currents | 50 M$\\Omega$ | 1 pF | 50 $\\mu$s |\n", + "| Axon HS-9A, standard | 10 M$\\Omega$ | | |\n", + "| Axon HS-9A, \"large currents\" | 1 M$\\Omega$ | | |\n", + "| Axon HS-9A, \"ion-sensitive\" | 100 G$\\Omega$ | | |\n", + "| HEKA EPC 9, default gain | 495 M$\\Omega$ | 0.16 pF | 79.2 $\\mu$s* |\n", + "| HEKA EPC 9, low gain | 5 M$\\Omega$ | | |\n", + "| HEKA EPC 9, high gain | 50 G$\\Omega$ | 0.02 pF | 1000 $\\mu$s* |\n", + "| HEKA EPC 10, default gain | 500 M$\\Omega$ | | |\n", + "| HEKA EPC 10, low gain | 5 M$\\Omega$ | | |\n", + "| HEKA EPC 10, high gain | 50 G$\\Omega$ | | |\n", + "| Levis & Rae 1992 example | 50 G$\\Omega$ | 0.1 pF | 5000 $\\mu$s |\n", + "| Sigworth 1995a, \"Typical\" values | 10-100 G$\\Omega$ | 0.1 pF | 1000-10000 $\\mu$s |\n", + "| Sigworth 1995b, \"Frequency compensation\" | | 0.02 pF | |\n", + "| Sutter IPA | 500 M$\\Omega$ | | |\n", + "| Warner LC-201B, low gain | 500 M$\\Omega$ | | |\n", + "| Warner LC-201B, high gain | 50 G$\\Omega$ | | |\n", + "| Warner LC-202B, low gain | 50 M$\\Omega$ | | |\n", + "| Warner LC-202B, high gain | 50 G$\\Omega$ | | |\n", + "| Weerakoon et al. 2009 | 25 M$\\Omega$ | 0.3 pF | 7.5 $\\mu$s |\n", + "\n", + "Some other devices not (yet) listed:\n", + " - [NPI Electronic](https://www.npielectronic.com/product-category/electrophysiology-amplifiers) (succeeds Dagan 8900?)\n", + " - Biologic RK-300 and RK-400 (discontinued, it seems)\n", + " - ESF Electronic WPC 100 (nothing online)\n", + "\n", + "Names are typically of headstages rather than amplifiers.\n", + "\n", + "### Origin and definition\n", + "\n", + "The voltage drop over $R_f$ is used to measure currents. To measure small currents, we make it large.\n", + "The capacitance $C_f$ is either incurred accidentally, or added by design (Weerakoon 2009).\n", + "\n", + "#### $\\tau_f$ might not be the relevant value for HEKA\n", + "The HEKA values are presumably compensated as described in [Sigworth 1995a](https://doi.org/10.1007/978-1-4419-1229-9_4), section 2.3, which is said to reduce the amplifier's pole at $\\tau_1 \\approx \\tau_f$ from $\\tau_1 \\approx \\tau_f \\approx 1\\text{ms}$ to an effective value of 4 $\\mu$s.\n", + "\n", + "#### 495 MOhm ?\n", + "[Sigworth 1995b](https://doi.org/10.1016/0165-0270(94)00128-4) shows that, in the EPC-9, the 50GOhm resistor is always connected, resulting in the 495MOhm for default gain instead of 500MOhm.\n", + "This is presumably true for the EPC10 too, but I can't find a reference for that.\n", + "\n", + "#### $C_f$ is a simplification\n", + "\n", + "- [Finkel 1991](https://www.amazon.co.uk/Molecular-Neurobiology-Practical-Approach/dp/0199631093) notes that \"In practice, $C_f$ consists of many resistor-capacitor components that make the frequency response of $R_f$ very complicated\".\n", + "- [Sigworth 1995a](https://doi.org/10.1007/978-1-4419-1229-9_4) discusses scenarios where $C_f$ is evenly distributed along the resistor, and notes that this need not be the case.\n", + "- [Sigworth 1995b](https://doi.org/10.1016/0165-0270(94)00128-4) states that \"both the resistance of the 50 GOhm resistor and its stray capacitance can vary considerably\" (presumably between components with identical specs), so that compensation circuitry needs to be adjustable.\n", + "\n", + "#### Capacitor-feedback amplifiers\n", + "\n", + "Some amplifiers (e.g. the Axon 200B in \"single channel mode\" - but not in whole-cell mode) use a \"capacitor-feedback\" system, where the resistor $R_f$ is omitted entirely.\n", + "This requires some special tricks that are not covered in these notebooks.\n", + "For more on this, see [Sigworth 1995a](https://doi.org/10.1007/978-1-4419-1229-9_4), [Levis & Rae 1992](https://doi.org/10.1016/0076-6879(92)07004-8), or [Finkel 1991](https://www.amazon.co.uk/Molecular-Neurobiology-Practical-Approach/dp/0199631093).\n", + "All three are book chapters but in my cupboard if you need them." + ] + }, + { + "cell_type": "markdown", + "id": "6b7e3828", + "metadata": {}, + "source": [ + "## 5. Series resistance compensation \"lag\" $\\tau_\\text{sum}$\n", + "\n", + "### Values\n", + "\n", + "| Source | page | $\\tau_\\text{sum} (\\mu s)$ |\n", + "|:--------------------------|:--------|:---------------------------------------|\n", + "| A-M Systems 2400 | | 1-100 |\n", + "| Axopatch 1D front panel | | 1-100 (10 at 12 o'clock) |\n", + "| Axopatch 200b front panel | | 1, 2, 3, 5, 7, 10, 20, 35, 60, 80, 100 |\n", + "| HEKA EPC 9 | 25 | 2, 10, 100 |\n", + "| HEKA EPC 10 | 32 | 2, 10, 100 |\n", + "| HEKA Patchmaster manual | 86, 87 | 2, 5, 10, 100 |\n", + "| Sutter IPA | | 20-200 |\n", + "\n", + "The HEKA manuals describe $10 \\mu s$ as medium, while on the Axopatches it is the value at 12 o'clock of the potentiometer. It seems safe to assume this is a good default value.\n", + "\n", + "### Origin and definition\n", + "\n", + "This is a deliberately added 1st order filter over $V_c$, used to reduce fast capacitance artefacts (by \"rounding\") and make series resistance compensation more stable.\n" + ] + }, + { + "cell_type": "markdown", + "id": "3d933f3e", + "metadata": {}, + "source": [ + "## 6. Op-amp time constant $\\tau_a$\n", + "\n", + "### Values\n", + "\n", + "| Source | page | $\\omega$ | $f$ | $\\tau$ |\n", + "|:---------------|:--------|--------------|----------|------------|\n", + "| Sigworth 1995a | 96 | 1e7 rad/s | 1.59 MHz | 100 ns |\n", + "| | 98, 101 | 6.28e7 rad/s | 10 MHz | 15.9 ns |\n", + "| Weerakoon 2009 | 3 | 2e7 rad/s | 3.18 MHz | 50 ns |\n", + "\n", + "where\n", + "\\begin{align}\n", + "\\omega_a = 2 \\pi f_a = 1 / \\tau_a\n", + "\\end{align}\n", + "\n", + "\n", + "### Origin and definition\n", + "\n", + "Discussed in detail in [appendix A3](./appendix-A3-non-ideal-op-amp.ipynb).\n", + "\n", + "#### Units \n", + "I am confused about the units used.\n", + "\n", + "The equation\n", + "\\begin{align}\n", + "\\frac{d}{dt}V = \\omega (V_+ - V_-)\n", + "\\end{align}\n", + "needs $\\omega$ to be in $\\text{s}^{-1}$ to make the units match, and correspondingly Sigworth always gives values for $\\omega$ in units of $\\text{s}^{-1}$.\n", + "When converting to $\\tau$ we simply take the reciprocal, again suggesting that $\\omega$ is in $\\text{s}^{-1}$.\n", + "However, when introducing $\\omega$ he says the units are $\\text{rad}/s$.\n", + "And when converting to $f$ we divide by $2 \\pi\\,\\text{rad}$, suggesting the \"Hz\" used are really 1/s/rad?" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.2" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/artefacts/appendix-D1-strategies.ipynb b/artefacts/appendix-D1-strategies.ipynb new file mode 100644 index 0000000..d01d516 --- /dev/null +++ b/artefacts/appendix-D1-strategies.ipynb @@ -0,0 +1,134 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Appendix D1: Strategies for dealing with experimental error\n", + "**Appendix D discusses remaining noise and errors**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In this notebook we provide a high-level overview of noise, artefacts, and imperfect control, and discuss general strategies for dealing with them." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Noise and artefacts\n", + "\n", + "The term \"noise\" can mean many things, but in patch-clamp experiments is typically used to mean unwanted _stochastic_ or _periodic_ signals that are present in the applied input, the measured output, or both.\n", + "The term \"artefacts\" (or \"artifacts\") is sometimes used to describe _transient_ signals that appear in the output but are due to the experimental setup rather than the biology." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Imperfect control\n", + "\n", + "Many artefacts in patch clamp data arise not as a distortion of the recorded signal, but through _imperfect control_ of the membrane potential.\n", + "A major part of the \"artefact model\" described here deals with such issues of imperfect membrane potential control.\n", + "\n", + "More generally, we have imperfect control over experimental parameters such as as temperature (often quoted as being in a 1-2 degree bracket) or external solutions (especially with e.g. fast wash-out or wash-in).\n", + "This type of imperfect control can often be modelled by replacing scalar values with probability distributions and using [forward propagation](https://en.wikipedia.org/wiki/Uncertainty_quantification#Forward_propagation) to estimate the effects on the measured signal." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Strategies for dealing with error\n", + "\n", + "Four strategies for dealing with noise, artefacts, and imperfect control are:\n", + "\n", + "- Avoiding it\n", + "- On-line correction, i.e. correcting during the experiment using hardware or software\n", + "- Off-line correction, i.e. post-processing the data to remove errors\n", + "- Creating a noise model\n", + "\n", + "**Avoiding noise** is a major part of experimental setup and hardware design, and can include [shielding](https://en.wikipedia.org/wiki/Faraday_cage), removing sources of electronic inference (e.g. monitors, lights), using special power supplies (or batteries), checking for [ground loops](https://en.wikipedia.org/wiki/Ground_loop_%28electricity%29), and even cooling part of the measurement equipment to reduce [thermal noise](https://en.wikipedia.org/wiki/Johnson%E2%80%93Nyquist_noise).\n", + "\n", + "**On-line correction** using hardware filters is common in patch-clamp experiments, and includes correction of capacitance artefacts, series resistance compensation, \"zeroing\" the current, and low-pass filtering.\n", + "A major downside of on-line correction is that it can only be performed once.\n", + "In addition, some patch-clamp hardware does not provide digital readouts of the controls used to perform on-line correction, so that information about how exactly the signal was modulated is lost.\n", + "\n", + "**Off-line correction** includes leak correction and removal of any remaining capacitance artefacts, but may also include removing endogenous currents by subtracting a second measurement made in the presence of a current-blocking drug.\n", + "A downside of both on-line and off-line correction is that it invariably \"complicates\" the recording.\n", + "For example, to fully model a typical patch-clamp measurement it would be necessary to understand the ionic current, the way the cell and patch-clamp setup contaminate this recording, and the precise way in which hardware and offline software has attempted to remedy these effects.\n", + "\n", + "A different approach then, is to simply leave the noise and artefacts in, and **add them to the model used in the fitting procedure**.\n", + "The most common example of \"modelling\" the noise, is using a root-mean-squared error when fitting the data: statistically this equates to assuming a Gaussian model for the noise (so that the recorded current at any time point equals the ionic current plus a normally distributed random variable).\n", + "More complex modelling approaches are also possible, see for example [Lei et al., 2020](https://royalsocietypublishing.org/doi/10.1098/rsta.2019.0348) and the models introduced in these notebooks." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Modelling experimental error\n", + "\n", + "A central idea in these notebook is to differentiate between the measured current, $I_\\text{measured}$, and the current of interest, which we shall call $I_\\text{ion}$.\n", + "The relationship between $I_\\text{measured}$ and $I_\\text{ion}$ can be captured mathematically in a _noise model_:\n", + "\n", + "\\begin{equation}\n", + "I_\\text{measured} = f(I_\\text{ion})\n", + "\\end{equation}\n", + "\n", + "The simplest such noise models are _additive_, and take the form\n", + "\n", + "\\begin{equation}\n", + "I_\\text{measured} = I_\\text{ion} + I_\\text{unwanted}\n", + "\\end{equation}\n", + "\n", + "But we have also seen more complicated forms.\n", + "\n", + "Similarly, we can model imperfect control by distinguishing between the true membrane potential, $V_m$, and the intended membrane potential $V_\\text{command}$:\n", + "\\begin{equation}\n", + "V_\\text{m} = g \\left( V_\\text{command} \\right)\n", + "\\end{equation}\n", + "but we also have to recognise that the error in the control depends on the ion current:\n", + "\\begin{equation}\n", + "V_\\text{m} = g \\left( V_\\text{command}, I_\\text{ion} \\right)\n", + "\\end{equation}\n", + "If we allow for clever circuitry that uses measurements of $I_\\text{ion}$ or $V_\\text{m}$ to perform corrections, we may even want to write\n", + "\\begin{equation}\n", + "V_\\text{m} = g \\left( V_\\text{command}, I_\\text{ion}, I_\\text{measured}, V_\\text{measured} \\right)\n", + "\\end{equation}\n", + "\n", + "so that our full equation becomes something like\n", + "\n", + "\\begin{equation}\n", + "I_\\text{measured} = f \\left( I_\\text{ion}(g(V_\\text{command}, I_\\text{ion}, I_\\text{measured}, V_\\text{measured})) \\right)\n", + "\\end{equation}\n", + "\n", + "Clearly we will need some kind of simulation to deal with this." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.6" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/artefacts/appendix-D2-inspecting-noise.ipynb b/artefacts/appendix-D2-inspecting-noise.ipynb new file mode 100644 index 0000000..86d3c9b --- /dev/null +++ b/artefacts/appendix-D2-inspecting-noise.ipynb @@ -0,0 +1,934 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Appendix D2: Stochastic and periodic noise\n", + "**Appendix D discusses remaining noise and errors**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In this notebook we take a brief look at stochastic noise.\n", + "This type of noise is a _much bigger issue_ for single channel measurements, and much more thorough explorations of noise can be found e.g. in [Sigworth 1995](https://doi.org/10.1007/978-1-4419-1229-9_4), [Benndorf 1995](https://doi.org/10.1007/978-1-4419-1229-9_5), or the [Axon Guide](https://www.moleculardevices.com/en/assets/ebook/dd/cns/axon-guide-to-electrophysiology-and-biophysics-laboratory-techniques).\n", + "\n", + "Reducing noise is also a major point of interest, but will not be discussed in this notebook.\n", + "Instead, we have a quick look at the stochastic and periodic noise we might see in a manual whole-cell patch experiment, and discuss how this relates to uncertainty quantification." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Stochastic noise\n", + "\n", + "We'll start by looking at stochastic noise, using the model:\n", + "\n", + "\\begin{equation}\n", + "I_\\text{measured} = I_\\text{ion} + I_\\text{stochastic} = I_\\text{ion} + \\mathcal{N}(0, \\sigma)\n", + "\\end{equation}\n", + "\n", + "This assumes that\n", + "- the noise is purely _additive_, and does not affect $I_\\text{ion}$ or $I_\\text{measured}$ in more complicated ways.\n", + "- the noise in sample $I_\\text{measured}[i]$ is independent of the noise at $I_\\text{measured}[i-1]$, or at any previous sample $I_\\text{measured}[j < i]$.\n", + "- the noise follows a normal distribution with mean zero and a constant standard deviation $\\sigma$.\n", + "\n", + "This model can be used for noise that is truly stochastic, but perhaps also for processes that change quickly enough to _look_ stochastic, given our sampling rate.\n", + "Noise that _more or less_ matches these assumptions can arise from from the electronics e.g. [thermal noise](https://en.wikipedia.org/wiki/Johnson%E2%80%93Nyquist_noise), and [shot noise](https://en.wikipedia.org/wiki/Shot_noise).\n", + "We can even expect some fluctuations from the stochastic opening and closing of the channels themselves: a 1973 paper by [Anderson and Stevens](https://doi.org/10.1113/jphysiol.1973.sp010410) showed that \"channel noise\" with a high enough amplitude can be analysed to estimate the number of channels in a cell.\n", + "\n", + "It can be worthwhile to examine these assumptions, for example by looking at a \"boring\" part of an experimental result, where the voltage is stable and the channels are assumed to be in or near their steady state." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "import myokit\n", + "import numpy as np\n", + "import pints\n", + "import scipy.stats\n", + "\n", + "# Load Cell 1 from Beattie et al.\n", + "log = myokit.DataLog.load('../ion-currents/resources/sine-wave-data/cell-1.zip').npview()\n", + "\n", + "# Isolate a \"flat\" bit of signal, by chopping off everything after t=250\n", + "# During this time, V is fixed at -80mV\n", + "log = log.trim_right(250)\n", + "\n", + "plt.figure(figsize=(8, 3))\n", + "plt.xlabel('Time (ms)')\n", + "plt.ylabel('Current (pA)')\n", + "plt.plot(log.time(), log['current'] * 1000) # Convert from nA to pA\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can try and visually inspect this data, for example to see how it compares to a normal distribution:" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Subtract the mean and show a histogram of this noise:\n", + "\n", + "noise = log['current'] * 1000 # Convert from nA to pA\n", + "offset = np.mean(noise)\n", + "variation = noise - offset\n", + "\n", + "fig = plt.figure(figsize=(16, 3))\n", + "ax = fig.add_subplot(1, 2, 1)\n", + "ax.set_xlabel('Time (ms)')\n", + "ax.set_ylabel('Mean noise (pA)')\n", + "ax.plot(log.time(), np.ones(noise.shape) * offset)\n", + "\n", + "ax = fig.add_subplot(1, 2, 2)\n", + "ax.set_xlabel('Noise amplitude (pA)')\n", + "ax.set_ylabel('Occurence')\n", + "ax.hist(variation, bins=50, density=True, label='Normalised histogram')\n", + "\n", + "x = np.linspace(-25, 25, 100)\n", + "ax.plot(x, scipy.stats.norm.pdf(x, 0, np.std(variation)), label='Normal distribution')\n", + "ax.legend()\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "So the data _looks_ to be normally distributed, although not with a zero offset (more about that later).\n", + "More rigorous tests of normality are available, but for large sample sizes like these, they tend to be _too strict_, and reject the hypothesis that the distribution is normal, for even very minor deviations from normality.\n", + "\n", + "Another thing we can investigate is whether the noise in this cell was [_independent and identically distributed_ (iid)](https://en.wikipedia.org/wiki/Independent_and_identically_distributed_random_variables).\n", + "A quick visual way to do this is to make a plot of the _autocorrelation_, which shows you how much the points at any index $i$ correlate with the points at $i - \\text{lag}$.\n", + "For $\\text{lag} = 0$ this is $1$ by definition, but for higher lags this should be close to zero if the noise is iid.\n", + "One rule of thumb is to plot the lines at $\\pm1.96 \\sqrt{n}$, which corresponds to the 95% confidence interval, and then check that only 5% of the autocorrelations are outside this interval." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import pints.plot\n", + "\n", + "# pints.plot.autocorrelation expects an array of shape (n_samples, n_parameters)\n", + "# See: https://pints.readthedocs.io/en/latest/diagnostic_plots.html#pints.plot.autocorrelation\n", + "n = len(variation)\n", + "reshaped = variation.reshape((n, 1))\n", + "\n", + "fig, ax = pints.plot.autocorrelation(reshaped, max_lags=30)\n", + "fig.set_size_inches(12, 5)\n", + "ax[0].axhline(+1.96 / np.sqrt(n), ls='--', color='#cccccc')\n", + "ax[0].axhline(-1.96 / np.sqrt(n), ls='--', color='#cccccc')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "So it looks like our noise is fairly independent!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now that we now this, how it help us deal with noise?\n", + "Because the noise is stochastic, we can't model it directly and subtract it from our recordings.\n", + "But we _can_ write a statistical model for our noise, and fit that to the data.\n", + "\n", + "First, we assume that at any point intime the measured current $I_\\text{measured}(t)$ can be modelled as the sum of a current model $m(t|p)$ with parameters $p$ and a random variable from a normal distribution with standard deviation $\\sigma$:\n", + "\n", + "\\begin{equation}\n", + "I_\\text{measured}(t) = m(t|p) + \\mathcal{N}(0, \\sigma)\n", + "\\end{equation}\n", + "\n", + "In the [\"basic fitting\"](basic-fitting.ipynb) notebook, we saw that this lets us write a _probability density function_ $f$ for obtaining a certain measurement _given_ a fixed $p$ and $\\sigma$, and that this could be used to define a _log-likelhood_ for $p$ and $\\sigma$ given a particular measurement $D$:\n", + "\n", + "\\begin{equation}\n", + "\\log l(p, \\sigma|D) = -\\frac{N}{2}\\log(2\\pi) - N\\log(\\sigma) - \\frac{1}{2\\sigma^2} \\sum_{i = 1}^{N} \\left(I_\\text{measured}(t_i) - m(t_i|p)\\right)^2\n", + "\\end{equation}\n", + "\n", + "where $D$ is a digitised set of measurements $D = \\{(t_1, I_\\text{measured}(t_1)), (t_2, I_\\text{measured}(t_2)), ..., (t_N, I_\\text{measured}(t_N))\\}$.\n", + "\n", + "In the basic fitting tutorial we observed that for a fixed value of $\\sigma$ the process of _maximising this log-likelihood_ is the same as _minimising the sum of squared errors_ $I_\\text{measured}(t_i) - m(t_i|p)$, and we proceeded using this approach in most of the tutorial.\n", + "\n", + "However, instead of passing in an [ErrorMeasure](https://pints.readthedocs.io/en/latest/error_measures.html), PINTS optimisers can also operate directly on a [LogLikelihood object](https://pints.readthedocs.io/en/latest/log_likelihoods.html):" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "import myokit.lib.hh\n", + "\n", + "class ModelHHSolver(pints.ForwardModel):\n", + " \"\"\"\n", + " A forward model that runs simulations on step protocols, using an\n", + " analytical solving method for Hodgkin-Huxley models.\n", + " \"\"\"\n", + "\n", + " def __init__(self, protocol):\n", + "\n", + " # Load a model, and isolate the HH ion current model part\n", + " model = myokit.load_model('../ion-currents/resources/beattie-2017-ikr-hh.mmt')\n", + " parameters = ['ikr.p' + str(1 + i) for i in range(9)]\n", + " hh_model = myokit.lib.hh.HHModel.from_component(\n", + " model.get('ikr'), parameters=parameters)\n", + "\n", + " # Create an analytical simulation\n", + " self.sim = myokit.lib.hh.AnalyticalSimulation(hh_model, protocol)\n", + "\n", + " # Set the -80mV steady state as the default state\n", + " self.sim.set_default_state(hh_model.steady_state(-80))\n", + "\n", + " def n_parameters(self):\n", + " return 9\n", + "\n", + " def simulate(self, parameters, times):\n", + "\n", + " # Reset, apply parameters, and run\n", + " self.sim.reset()\n", + " self.sim.set_parameters(parameters)\n", + " tmax = times[-1] + (times[-1] - times[-2])\n", + " log = self.sim.run(tmax, log_times=times)\n", + " return log['ikr.IKr']" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Set up a simple fitting problem\n", + "parameters = np.array([3e-4, 0.07, 3e-5, 0.05, 0.09, 9e-2, 5e-3, 0.03, 0.2])\n", + "\n", + "protocol = myokit.load_protocol('../ion-currents/resources/simplified-staircase.mmt')\n", + "model = ModelHHSolver(protocol)\n", + "times = np.arange(0, 15400, 0.1)\n", + "values = model.simulate(parameters, times)\n", + "values += np.random.normal(0, 0.05, times.shape)\n", + "problem = pints.SingleOutputProblem(model, times, values)\n", + "\n", + "plt.figure(figsize=(16, 3))\n", + "plt.xlabel('Time (ms)')\n", + "plt.ylabel('Current (pA)')\n", + "plt.plot(times, values, label='Noisy (fake) data')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Next, we isolate a bit of noise from the start of the signal to estimate sigma:" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Estimated sigma: 0.047838811700166975\n" + ] + } + ], + "source": [ + "noise = values[:1000]\n", + "sigma = np.std(noise)\n", + "print('Estimated sigma: ' + str(sigma))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And we use this to create and maximise a [pints.GaussianKnownSigmaLogLikelihood](https://pints.readthedocs.io/en/latest/log_likelihoods.html#pints.GaussianKnownSigmaLogLikelihood):" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "# Create a log-likelihood object\n", + "log_pdf = pints.GaussianKnownSigmaLogLikelihood(problem, sigma)\n", + "\n", + "# Choose a slightly random starting point\n", + "x0 = parameters * 2**np.random.normal(0, 0.25, parameters.shape)\n", + "\n", + "# Use an optimiser to maximise it\n", + "opt = pints.OptimisationController(log_pdf, x0)\n", + "opt.set_log_to_screen(False)\n", + "xopt, fopt = opt.run()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(16, 4))\n", + "plt.xlabel('Time (ms)')\n", + "plt.ylabel('Current (pA)')\n", + "plt.plot(times, values, label='Noisy (fake) data')\n", + "plt.plot(times, problem.evaluate(xopt), label='Fitted model')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here we followed a two-step process, first estimating sigma from a small chunk of the data and then using this estimate to do the full fit.\n", + "But there's nothing stopping us from inferring $\\sigma$ along with the rest of the parameters!" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "9\n", + "10\n" + ] + } + ], + "source": [ + "# Create an unknown sigma log-likelihood object\n", + "log_pdf = pints.GaussianLogLikelihood(problem)\n", + "\n", + "# This log likelihood has one more parameter than our model!\n", + "print(model.n_parameters())\n", + "print(log_pdf.n_parameters())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As before, we can use an optimiser to maximise this log-likelihood, but now we need to pass in a starting point that also includes an estimate for sigma:" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "x0_with_sigma = np.concatenate((x0, [0.3]))\n", + "\n", + "opt = pints.OptimisationController(log_pdf, x0_with_sigma)\n", + "opt.set_log_to_screen(False)\n", + "xopt, fopt = opt.run()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now the returned parameter vector includes an extra value for the estimated sigma:" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Estimated sigma: 0.049966709658859555\n" + ] + } + ], + "source": [ + "print('Estimated sigma: ' + str(xopt[-1]))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This probabilistic approach opens up new possibilities for investigation.\n", + "For example, we could replace the assumption of iid noise with the assumption that the noise is correlated and would be better described by an [Autoregressive AR1 model](https://en.wikipedia.org/wiki/Autoregressive_model).\n", + "We can then replace our Gaussian loglikelihood by a [pints.AR1LogLikelihood](https://pints.readthedocs.io/en/latest/log_likelihoods.html#pints.AR1LogLikelihood) and compare the quality of fit.\n", + "\n", + "Instead of finding the maximum of the proposed likelihood function, we can also use [sampling methods](https://pints.readthedocs.io/en/latest/mcmc_samplers/index.html) to explore the full distribution.\n", + "If the model fits the data extremely well, this can provide an estimate of the uncertainty in the obtained parameters.\n", + "However, if there is a slight _discrepancy_ between the final model predictions and the experimental recording (as is typically the case in ion current electrophysiology), the results of applying a sampling method are much harder to interpret." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Periodic noise" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In addition to stochastic (additive) noise, we might also look for periodic noise.\n", + "An easy way to spot this is by creating and plotting an [FFT](https://en.wikipedia.org/wiki/Fast_Fourier_transform) or [power spectrum](https://en.wikipedia.org/wiki/Spectral_density).\n", + "\n", + "We start by defining a quick function to calculate a power spectrum:" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "def spectrum( times, current):\n", + " \"\"\"\n", + " Calculates the power spectrum (or spectral density) of a (regularly spaced)\n", + " time series ``(times, current)``, and returns a tuple ``(freq, power)``\n", + " where ``freq`` contains a list of positive frequencies, and ``power``\n", + " is the associated spectral density (if current is in \"units\", the power will\n", + " be unit \"units**2\").\n", + " \"\"\"\n", + " # Import fft functions\n", + " try:\n", + " # Latest scipy\n", + " from scipy.fft import fft, fftshift, fftfreq\n", + " except ImportError:\n", + " from scipy.fftpack import fft, fftshift, fftfreq\n", + " \n", + " # Length of time series (assuming len(times) == len(current))\n", + " n = len(times)\n", + " \n", + " # Time-step (assuming points are equally spaced)\n", + " dt = times[1] - times[0]\n", + " \n", + " # Points in the FFT\n", + " points = fftshift(fft(current)).real\n", + " \n", + " # Frequency of points in the fft\n", + " frequency = fftshift(fftfreq(n, dt))\n", + " \n", + " # Select positive points\n", + " positive = frequency > 0\n", + " \n", + " return frequency[positive], points[positive]**2\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Using this function, we can have a look at the start of Cell 1's data again:" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Load Cell 1 from Beattie et al.\n", + "log = myokit.DataLog.load('../ion-currents/resources/sine-wave-data/cell-1.zip').npview()\n", + "\n", + "# Isolate a \"flat\" bit of signal, by chopping off everything after t=250\n", + "# During this time, V is fixed at -80mV\n", + "log = log.trim_right(250)\n", + "\n", + "# Calculate the power spectrum\n", + "times = log.time()\n", + "current = log['current']\n", + "freq, points = spectrum(times * 1e-3, current) # Using time in seconds to get frequency in Hz\n", + "\n", + "# Show the results\n", + "fig = plt.figure(figsize=(16, 4))\n", + "\n", + "ax = fig.add_subplot(1, 2, 1)\n", + "ax.set_xlabel('Time (ms)')\n", + "ax.set_ylabel('Current (pA)')\n", + "ax.plot(times, current * 1e3) # Convert from nA to pA\n", + "\n", + "ax = fig.add_subplot(1, 2, 2)\n", + "ax.set_xlabel('Frequency (Hz)')\n", + "ax.set_ylabel('Spectral density (nA^2)')\n", + "ax.plot(freq, points)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "So it looks like there's no particular frequencies that dominate the noise in this recording.\n", + "\n", + "Because we recorded at a sample spacing of $0.1\\text{ms} = 10^{-4}\\text{s}$, the highest frequency observable in the signal is half the sampling rate, so $\\frac{1}{2} 1 / 10^{-4}\\text{s} = \\frac{1}{2} 10\\text{kHz} = 5\\text{kHz}$.\n", + "Notice that the [Nyquist-Shannon sampling theory](https://en.wikipedia.org/wiki/Nyquist%E2%80%93Shannon_sampling_theorem) says something stronger than that; it says that _even lower frequency signals_ can't be reconstructed from a digital recording if frequencies higher than half the sampling rate are present in the signal.\n", + "A common way to ensure this is the case, is to use low-pass filtering before digitisation (so this is an example of online filtering that we cannot escape!).\n", + "Looking at the [published raw data files](https://figshare.com/articles/Sinusoidal_voltage_protocols_for_rapid_characterization_of_ion_channel_kinetics_supplementary_experimental_data/4702546/1) for this study, we can inspect the meta data (e.g. using [Myokit's DataLog viewer](https://myokit.readthedocs.io/cmd/log.html)) and see that this signal was indeed low-pass filtered at 5kHz before digitisation." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now let's look at a different recording:" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Load Cell 7 from Beattie et al.\n", + "log = myokit.DataLog.load('../ion-currents/resources/sine-wave-data/cell-7.zip').npview()\n", + "\n", + "# Isolate a \"flat\" bit of signal, by chopping off everything after t=250\n", + "# During this time, V is fixed at -80mV\n", + "log = log.trim_right(250)\n", + "\n", + "# Calculate the power spectrum\n", + "times = log.time()\n", + "current = log['current']\n", + "freq, points = spectrum(times * 1e-3, current) # Using time in seconds to get frequency in Hz\n", + "\n", + "# Show the results\n", + "fig = plt.figure(figsize=(16, 4))\n", + "\n", + "ax = fig.add_subplot(1, 2, 1)\n", + "ax.set_xlabel('Time (ms)')\n", + "ax.set_ylabel('Current (pA)')\n", + "ax.plot(times, current * 1e3) # Convert from nA to pA\n", + "\n", + "ax = fig.add_subplot(1, 2, 2)\n", + "ax.set_xlabel('Frequency (Hz)')\n", + "ax.set_ylabel('Spectral density (nA^2)')\n", + "ax.plot(freq, points)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This shows some very different characteristics!\n", + "\n", + "In the power spectrum plot on the right, we can clearly see two peaks around $3.2 \\text{kHz}$.\n", + "These are most likely from some piece of electronic equipment in the same room or, if the noise is transmitted through the mains or the grounding, somewhere else in the building!\n", + "\n", + "In the direct plot on the left, we can also see what look like some lower frequency periodic effects.\n", + "We can do a few zoomed plots to get a clearer picture:" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(16, 4))\n", + "\n", + "ax = fig.add_subplot(1, 2, 1)\n", + "ax.set_xlabel('Frequency (Hz)')\n", + "ax.set_ylabel('Spectral density (nA^2)')\n", + "ax.plot(freq, points)\n", + "ax.set_xlim(0, 200)\n", + "ax.set_ylim(0, 20)\n", + "ax.set_xticks(np.arange(0, 210, 10))\n", + "ax.grid(True)\n", + "\n", + "ax = fig.add_subplot(1, 2, 2)\n", + "ax.set_xlabel('Frequency (Hz)')\n", + "ax.set_ylabel('Spectral density (nA^2)')\n", + "ax.plot(freq, points)\n", + "ax.set_xlim(3060, 3240)\n", + "ax.set_xticks(np.arange(3060, 3260, 20))\n", + "ax.grid(True)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Starting on the right again, we see two large peaks at around $3115 \\text{Hz}$ and $3170 \\text{Hz}$.\n", + "If we assume this noise is from something man-made, we might expect the frequencies to be nice round numbers, so it can be worth googling our frequency estimates to see if anyone knows what's causing them!\n", + "Judging from the fact that we see these clear signals in cell 7, but not cell 1, we might suspect it's something that gets switched on and off during the day, but it could also come from something like a fridge which switches itself on from time to time.\n", + "\n", + "On the left, we see a peak of unknown origins at $10 \\text{Hz}$, but also one at $50 \\text{Hz}$, which is a clear example of [\"mains hum\"](https://en.wikipedia.org/wiki/Mains_hum)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "So how do we use this knowledge?\n", + "\n", + "One option, especially when the peaks are as sharp as shown above, is to digitally filter out one of the frequencies.\n", + "We could also try fitting sine waves and subtracting them from the signal, or including the sine waves in our (noise) model.\n", + "But we could also observe that the strongest peaks are of a much higher frequency than what we expect from the current of interest, and that the lower frequency peaks are quite small.\n", + "So it might be fine to just leave the noise in, avoiding the risk of our \"corrections\" making things worse, and to present the data to our optimisation routine as-is.\n", + "Zooming out and observing the whole signal, this doesn't seem too bad an idea, and indeed this is the approach we took in e.g. [Four ways to fit an ion channel model](https://doi.org/10.1016/j.bpj.2019.08.001)." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# The full signal for cell 7\n", + "fig = plt.figure(figsize=(16, 4))\n", + "ax = fig.add_subplot(1, 1, 1)\n", + "ax.set_xlabel('Time (ms)')\n", + "ax.set_ylabel('Current (pA)')\n", + "ax.plot(log.time(), log['current'] * 1e3)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Uncertainty quantification and model discrepancy\n", + "\n", + "It's quite tempting to use noise models as shown above to defined a likelihood function, explore it with uncertainty quantification (UQ) methods such as [MCMC](https://en.wikipedia.org/wiki/Markov_chain_Monte_Carlo), _and then to interpret the result as information about the certainty of our inferred parameters_.\n", + "\n", + "This works well if there is no _model discrepancy_. In other words, if the model is able to draw a line through the data perfectly, such that all deviations from this line can be attributed to stochastic (or periodic) noise, then we can use UQ to investigate the uncertainty in our parameter estimates due to that noise.\n", + "\n", + "However, in many cases the mismatch between the best-fit model and the data does not look like it was generated by an additive stochastic (or periodic) noise model.\n", + "To illustrate this, we look at the Cell 1 data again, and superimpose a simulated result with parameters obtained from a fitting experiment." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "# Load Cell 1 from Beattie et al.\n", + "log = myokit.DataLog.load('../ion-currents/resources/sine-wave-data/cell-1.zip').npview()" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "# Load the model\n", + "model = myokit.load_model('../ion-currents/resources/beattie-2017-ikr-hh.mmt')\n", + "\n", + "# Load the steps in the sine wave protocol\n", + "protocol = myokit.load_protocol('../ion-currents/resources/sine-wave-steps.mmt')\n", + "\n", + "# Update the model to add in sine waves\n", + "c = model.get('membrane')\n", + "v = c.get('V')\n", + "v.set_binding(None)\n", + "vp = c.add_variable('vp')\n", + "vp.set_rhs(0)\n", + "vp.set_binding('pace')\n", + "model.get('membrane.V').set_rhs(\n", + " 'if(engine.time >= 3000.1 and engine.time < 6500.1,'\n", + " + ' - 30'\n", + " + ' + 54 * sin(0.007 * (engine.time - 2500.1))'\n", + " + ' + 26 * sin(0.037 * (engine.time - 2500.1))'\n", + " + ' + 10 * sin(0.190 * (engine.time - 2500.1))'\n", + " + ', vp)')\n", + "\n", + "# Create simulation\n", + "sim = myokit.Simulation(model, protocol)" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "# Simulate using the parameters from Beattie et al.\n", + "p = {\n", + " 'ikr.p1': 1.98e-4,\n", + " 'ikr.p2': 0.0593,\n", + " 'ikr.p3': 7.1688e-5,\n", + " 'ikr.p5': 0.0493,\n", + " 'ikr.p5': 0.1048,\n", + " 'ikr.p6': 0.0139,\n", + " 'ikr.p7': 0.0038,\n", + " 'ikr.p8': 0.036,\n", + " 'ikr.p9': 0.1351, \n", + "}\n", + "for k, v in p.items():\n", + " sim.set_constant(k, v)\n", + "d = sim.run(8001, log_times=log.time())" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Show the data for cell 1, and superimpose a simulation\n", + "fig = plt.figure(figsize=(16, 4))\n", + "ax = fig.add_subplot()\n", + "ax.set_xlabel('Time (ms)')\n", + "ax.set_ylabel('Current (nA)')\n", + "ax.plot(log.time(), log['current'], label='Cell 1 data')\n", + "ax.plot(d.time(), d['ikr.IKr'], label='Best-fit simulation')\n", + "ax.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Finally, we can plot the residuals:" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(16, 4))\n", + "ax = fig.add_subplot()\n", + "ax.set_xlabel('Time (ms)')\n", + "ax.set_ylabel('Remaining mismatch (nA)')\n", + "ax.plot(log.time(), log['current'] - d['ikr.IKr'])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Clearly, this is not an iid normal noise signal." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Interpreting MCMC results\n", + "\n", + "So what does it mean when we explore a fit to data with UQ methods?\n", + "\n", + "Using for example MCMC to calculate the probablity that the data was generated by the sum of a deterministic model (with an imperfect best-fit as shown above) and a stochastic iid noise model, **will** let us confirm that a given set of parameters is more likely than its neighbours.\n", + "Similarly, if we have two similar methods, and one of them provides tighter confidence intervals than the other (defined in the same imperfect way), then we **can** conclude that one method provides more certain estimates.\n", + "\n", + "However, the **absolute values** returned **will not** be informative, because they are the answer to the question: _how likely is it that the residuals shown above were generated by a stochastic iid process_.\n", + "To which the answer is: very unlikely.\n", + "Similarly, the absolute widths of confidence intervals determined in the presence of model discrepancy are not necessarily informative.\n", + "\n", + "Given that biological experiments provide very limited control over experimental parameters (i.e. native processes going on in the cell), and that models are _by definition_ simplifications, model discrepancy is not going anywhere soon.\n", + "Methods to perform and interpret UQ in the presence of model discrepancy are an active topic of research, and will likely remain so for some time to come." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.2" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/artefacts/appendix-D3-liquid-junction-potential.ipynb b/artefacts/appendix-D3-liquid-junction-potential.ipynb new file mode 100644 index 0000000..75fc9ef --- /dev/null +++ b/artefacts/appendix-D3-liquid-junction-potential.ipynb @@ -0,0 +1,257 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Appendix D3: Liquid junction potential\n", + "**Appendix D discusses remaining noise and errors**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "A [liquid junction potential](https://en.wikipedia.org/wiki/Liquid_junction_potential) (LJP) arises when two solutions with different ionic concentrations are in contact.\n", + "Because the concentrations are unequal, ions will diffuse across the junction, and because different types of ion have different [mobilities](https://en.wikipedia.org/wiki/Electrical_mobility), they will diffuse at different speeds.\n", + "This means that, at a very small local scale, and during a very short time, positive and negative charges will move across the junction at different rates, causing a charge separation that gives rise to an electric field.\n", + "In the classical explanation, this field will speed up slower ions and slow down faster ones until the charge movement in both directions is equal.\n", + "But the presence of the electric field, now constant, means there is an electric potential difference between both sides of the junction, which can be measured as a liquid junction potential ([for a better explanation, see Dickinson et al., 2010](https://doi.org/10.1021/jp908024s)).\n", + "\n", + "In manual patch-clamp experiments (in the whole-cell configuration), a liquid junction potential arises _before the connection to the cell is made_, when the pipette fluid is in contact with the bath fluid at the pipette's tip.\n", + "This LJP is on the order of 10mV to 15mV ([Neher (1992)](https://doi.org/10.1016/0076-6879(92)07008-C)).\n", + "\n", + "Because the pipette fluid is designed to be similar to the cytosolic fluid, once the connection to the cell is made the LJP quickly disappears." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "_Note 1: It's usually safe to assume that the pipette is so much larger than the cell, and that the pipette and intracellular fluids are so similar, that the final solution inside the cell is pretty much equal to the pipette solution._\n", + "\n", + "_Note 2: [Neher (1992)](https://doi.org/10.1016/0076-6879(92)07008-C) points out that diffusion is only fast for small cells, for larger cells the situation after patching may be considerably more complicated._" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## LJP correction in patch-clamp in the whole-cell configuration\n", + "\n", + "So if the LJP isn't present during time of recording, why do we care about it?\n", + "\n", + "The reason is that there are a whole host of resistances and small differences in potential that arise between the bath and pipette electrodes, for example the [electrode potentials](https://en.wikipedia.org/wiki/Electrode_potential).\n", + "At the start of the experiment, before making contact with the cell, these are \"zeroed out\", i.e. we find a voltage-clamp potential for which no current flows, and call this voltage our zero.\n", + "This is done manually on some amplifiers or automatically on others.\n", + "\n", + "For example, the following steps may be followed:\n", + "\n", + "1. The pipette is lowered into the bath solution.\n", + "2. A cell is selected.\n", + "3. The pipette is brought very close to the cell: this usually involves lowering it further, which changes the fraction of the pipette that is submerged in the bath, which changes the zero potential!\n", + "4. Zeroing is performed, in the presence of an LJP.\n", + "5. The pipette is placed against the cell, a seal is made, the patch of membrane is ruptured, and the LJP disappears.\n", + "6. Because the cell has a membrane potential, we can no longer zero without losing important information.\n", + "7. Recordings are made.\n", + "\n", + "As a result, all our recordings are made in the absence of an LJP, but using a \"zero\" that was set in the presence of an LJP. Accounting for this difference is known as liquid junction potential correction." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## How do we calculate the LJP?\n", + "\n", + "The LJP can be estimated based on the concentrations of free charged molecules in the bath and pipette solution.\n", + "Most commonly, [a piece of software developed by Peter Barry](https://doi.org/10.1016/0165-0270(94)90031-0) is used, but an [open source alternative](https://swharden.com/LJPcalc/) based on a more accurate model is also available, as described in [Marino et al. 2014](https://arxiv.org/abs/1403.3640).\n", + "\n", + "An added difficulty here is that the solutions given in methods sections are always _total concentrations_, not _free concentrations_.\n", + "In particular:\n", + "- Ca, Mg (and others) are buffered by EGTA, ATP (and others). Free concentrations are typically orders of magnitude lower than total concentrations (added mM of Ca2+ become uM after buffering). They can be estimated using problems like [MaxChelator](https://somapp.ucdmc.ucdavis.edu/pharmacology/bers/maxchelator/index.html).\n", + "- pH adjustment of solution is typically done with XOH, where X is Na, K, Cs or some other ion. The exact amount is not usually mentioned in methods sections, but can affect the final solutions.\n", + "- pH regulators like HEPES bind or release H+ (H-Hepes <--> H+ + HEPES-), which may need to be taken into account." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## How do we account for the LJP?\n", + "\n", + "There are two common strategies:\n", + "\n", + "1. Apply your protocols, knowing that the cell will actually see different voltages, and then account for this in analysis.\n", + "2. Work out the LJP in advance, and adjust your protocols before applying them.\n", + "\n", + "To make option 2 easier, some amplifier software (e.g. HEKA's PatchMaster) lets you enter an LJP and will then correct all your protocols automatically.\n", + "\n", + "Because it sounds nice and sciency, we'll call these options _a posteriori_ and _a priori_ correction, respectively." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Which direction do we \"correct\" in?" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This confuses everyone:\n", + "\n", + "> Even when the importance of junction potential corrections are appreciated, research workers can still have difficulty both determining the magnitude of the corrections and the direction in which they should be applied\n", + "\n", + "> the direction of the junction potential correction can be somewhat confusing and requires very carefully applied logic and the calculation of the magnitude is fairly tedious and open to error.\n", + "\n", + "([Barry, 1994](https://doi.org/10.1016/0165-0270(94)90031-0), as justification for the software).\n", + "\n", + "Even with \"carefully applied logic\", because the LJP is a _potential difference_ that we almost always express as a _potential_, we need to pay close attention to _sign conventions_." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To start, we'll define both _electrode potentials_ and the _LJP_ as _voltage increases_:\n", + "\n", + "\n", + "\n", + "Inside the pipette, where the [AgCl coated wire](https://en.wikipedia.org/wiki/Silver_chloride_electrode) meets the pipette fluid, we have\n", + "\n", + "\n", + "\n", + "At the pipette tip, where the pipette fluid meets the bath fluid, we have\n", + "\n", + "\n", + "\n", + "(Note that this is the direction most commonly used, e.g. by Barry et al. and by Neher).\n", + "\n", + "And finally, at the cell membrane, we have\n", + "\n", + "\n", + "\n", + "Now we can compare the situation before touching the cell (left) with the situation after rupturing the membrane (right), by writing both as a series of voltage increases:\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On the left we have \n", + "\n", + "- The interface between the pipette electrode and pipette fluid, where we get an electrode potential $V_{e1}$.\n", + "- The interface between pipette fluid and bath fluid, where we get an LJP $V_{LJ}$.\n", + "- Another electrode, facing the other way (note the mirrored symbol), with electrode potential $V_{e2}$.\n", + "\n", + "On the right:\n", + "\n", + "- The interface between the wire and the pipette/intracellular fluid, where we get an electrode potential $V_{e1}$ but no LJP.\n", + "- A cell membrane separating the pipette/cytosolic fluid from the bath; following the sign conventions above we write this as a $V_m$ facing the opposite direction as $V_{e1}$.\n", + "- Another electrode, facing the other way, with electrode potential $V_{e2}$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Taking the ground as zero, and going right-to-left through the first diagram, we can write:\n", + "\\begin{align}\n", + "V_L = V_{e2} - V_{LJ} - V_{e1}\n", + "\\end{align}\n", + "\n", + "We can then \"zero\" this measurement by subtracting a $V_0$:\n", + "\\begin{align}\n", + "V_L = V_{e2} - V_{LJ} - V_{e1} - V_0 = 0\n", + "\\end{align}\n", + "\n", + "so that\n", + "\\begin{align}\n", + "V_0 = V_{e2} - V_{LJ} - V_{e1}\n", + "\\end{align}\n", + "\n", + "Following the same procedure, the right-hand diagram works out as:\n", + "\\begin{align}\n", + "V_R = V_{e2} + V_m - V_{e1}\n", + "\\end{align}\n", + "\n", + "Zeroing with the value we found before connecting to the cell, we find:\n", + "\\begin{align}\n", + "V_R &= V_{e2} + V_m - V_{e1} - V_0 \\\\\n", + " &= V_m + V_{LJ} \\\\\n", + "\\end{align}\n", + "\n", + "So, whenever we think we are measuring or manipulating $V_m$, we are actually dealing with $V_m + V_{LJ}$." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Current clamp, whole-cell, a posteriori correction\n", + "\n", + "As a result, when we measure $V_\\text{observed}$ in current-clamp, this is $V_\\text{observed} = V_m + V_{LJ}$ and so we need to _subtract_ the LJP to get the membrane potential:\n", + "\\begin{align}\n", + "V_m = V_\\text{observed} - V_{LJ}\n", + "\\end{align}\n", + "\n", + "### Voltage clamp, whole-cell, a posteriori correction\n", + "\n", + "Similarly, when we voltage-clamp to $V_\\text{applied}$, we are actually holding $V_\\text{applied} = V_m + V_{LJ}$ at that potential, so again we need to _subtract_ the LJP to obtain:\n", + "\\begin{align}\n", + "V_m = V_\\text{applied} - V_{LJ}\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Voltage clamp, whole-cell, a priori correction\n", + "\n", + "Using e.g. a HEKA amplifier, we can implement a prior correction:\n", + "\n", + "\\begin{align}\n", + "V_m = (V_\\text{intended} + V_{LJ}^*) - V_{LJ} \\approx V_\\text{intended}\n", + "\\end{align}\n", + "\n", + "this _adds_ the estimated LJP $V_{LJ}^*$ to the applied signal, so that $V_m \\approx V_\\text{intended}$." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Other patch-clamp configurations\n", + "\n", + "For other modes and more information, see [Figl et al. (2004)](https://medicalsciences.med.unsw.edu.au/sites/default/files/soms/page/ElectroPhysSW/Figl%20App%20Note2004.pdf)." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.9" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/artefacts/appendix-D4-leak.ipynb b/artefacts/appendix-D4-leak.ipynb new file mode 100644 index 0000000..45be545 --- /dev/null +++ b/artefacts/appendix-D4-leak.ipynb @@ -0,0 +1,57 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "e7fdae0f", + "metadata": {}, + "source": [ + "# Appendix D4: Leak\n", + "**Appendix D discusses remaining noise and errors**" + ] + }, + { + "cell_type": "markdown", + "id": "22f7aaad", + "metadata": {}, + "source": [ + "I don't know!" + ] + }, + { + "cell_type": "markdown", + "id": "866c6899", + "metadata": {}, + "source": [ + "See also:\n", + "- Endogeneous currents\n", + "- Gating currents? (~100x smaller than ionic currents)\n", + "- Protocols to remove or quantify \"leak\"\n", + " - Subtraction protocol\n", + " - Leak ramp\n", + "\n", + "\n" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.6" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/artefacts/appendix-D5-remaining-Cp-artefacts.ipynb b/artefacts/appendix-D5-remaining-Cp-artefacts.ipynb new file mode 100644 index 0000000..5905bdd --- /dev/null +++ b/artefacts/appendix-D5-remaining-Cp-artefacts.ipynb @@ -0,0 +1,44 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "7fb2df6f", + "metadata": {}, + "source": [ + "# Appendix D6: Handling remaining capacitance artefacts\n", + "**Appendix D discusses remaining noise and errors**" + ] + }, + { + "cell_type": "markdown", + "id": "e2ffeda4", + "metadata": {}, + "source": [ + "- Cutting out. Take information loss into account in sensitivity analysis (Clerx 2015).\n", + "\n", + "- Just leave in and let the optimiser deal with it?" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.6" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/artefacts/appendix-E1-rs-cm-one-shot.ipynb b/artefacts/appendix-E1-rs-cm-one-shot.ipynb new file mode 100644 index 0000000..834c3ab --- /dev/null +++ b/artefacts/appendix-E1-rs-cm-one-shot.ipynb @@ -0,0 +1,1397 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "7fb2df6f", + "metadata": {}, + "source": [ + "# Appendix E1: Estimating Rs and Cm; a one-shot approach\n", + "**Appendix E describes Rs and Cm estimation methods**" + ] + }, + { + "cell_type": "markdown", + "id": "e2ffeda4", + "metadata": {}, + "source": [ + "During a patch clamp experiment, estimates of $R_s$ and $C_m$ must be made to facilitate slow capacitance and series resistance compensation.\n", + "In this appendix, we will review a \"one-shot\" method that uses current measured during a test pulse without $R_s$ or $C_m$ compensation to make a single prediction.\n", + "In the next appendix, we wil look at an \"iterative\" method that uses currents measured during successive test pulses while $R_s$ and $C_m$ compensations are refined.\n", + "\n", + "The approach described here is explained in Axon's pCLAMP manual, where it is attributed to Dr. Fernando Garcia-Diaz.\n", + "As reference we shall use the pCLAMP 9 User Guide Rev D (later versions are missing equation numbers), as available from [Molecular devices](https://support.moleculardevices.com/s/article/pCLAMP-Software-Manual-Download-Page), starting on page 229." + ] + }, + { + "cell_type": "markdown", + "id": "78252eb3", + "metadata": {}, + "source": [ + "## The set-up\n", + "\n", + "A cell is attached to the pipette, the fast artefact has been cancelled out, but no $R_s$ compensation or slow transient cancellation has been applied.\n", + "\n", + "A periodic step protocol is applied, consisting of repeating high ($V_{c,1}$) and low ($V_{c,2}$) steps of equal duration $T$.\n", + "Both steps are analysed identically, so we will discuss only the step at $V_c = V_{c,1}$.\n", + "\n", + "We will use:\n", + "- $T = 10$ ms, based on screenshots in the pClamp manuals\n", + "- $V_1 = -60$ mV, $V_2=-70$ mv, again based on screenshots. This means a holding potential of $-70$ mV with a $10$ mV \"pulse\".\n", + "- A sampling rate of $25$ kHz ($\\text{dt}=0.04$ ms), for 250 samples per 10ms step. This is based on the algorithm description.\n", + "- For the constants, we'll use numbers from screenshots in the manual: $R_s = 11.7 M\\Omega$, $R_m = 500.3 M\\Omega$, and $C_m = 31.89$ pF." + ] + }, + { + "cell_type": "markdown", + "id": "2a4f2ad6", + "metadata": {}, + "source": [ + "" + ] + }, + { + "cell_type": "markdown", + "id": "96026015", + "metadata": {}, + "source": [ + "## Simple cell-and-access model\n", + "\n", + "The analysis uses the following schematic for the cell and access resistance:" + ] + }, + { + "cell_type": "markdown", + "id": "d0d13324", + "metadata": {}, + "source": [ + "" + ] + }, + { + "cell_type": "markdown", + "id": "609dd8fc", + "metadata": {}, + "source": [ + "The command potential (no $V_p$ or delays etc) is applied to the series resistance $R_s$, causing a voltage drop to $V_m$.\n", + "The cell is represented by its capacitance $C_m$ and a constant membrane resistance $R_m$.\n", + "No leak or offsets are included.\n", + "\n", + "The current through $R_s$ (which we'll assume is observed without error) is given by\n", + "\n", + "\\begin{align}\n", + "I = \\frac{V_c - V_m}{R_s} = \\frac{V_m}{R_m} + C_m \\dot{V}_m\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "1d5ad6c9", + "metadata": {}, + "source": [ + "### A model for Vm\n", + "\n", + "We can use these relationships to write an ODE model for $V_m$\n", + "\n", + "\\begin{align}\n", + "\\dot{V}_m = \\frac{\\frac{R_m}{R_m + R_s}V_c - V_m}{\\frac{R_mR_s}{R_m+R_s}C_m} = \\frac{V_\\infty - V_m}{\\tau}\n", + "\\end{align}\n", + "\n", + "with analytical solution\n", + "\\begin{align}\n", + "V_m(t) &= V_\\infty - \\left(V_\\infty - V_0\\right) e^{-t/\\tau} \\\\\n", + "\\end{align}\n", + "\n", + "For the first step\n", + "\\begin{align}\n", + "V_{\\infty,1} = \\frac{R_m}{R_m+R_s}V_{c,1} &&\n", + " V_{0,1} = \\frac{R_m}{R_m+R_s}V_{c,2} \n", + "\\end{align}\n", + "while for the second\n", + "\\begin{align}\n", + "V_{\\infty,2} = V_{0,1} &&\n", + " V_{0,2} = V_{\\infty,1}\n", + "\\end{align}\n", + "\n", + "We can also express these relationships in terms of a holding and a step potential:\n", + "\n", + "\\begin{align}\n", + "V_h &= V_{c,2} && \\Delta V_c = V_{c,1} - V_{c,2}\n", + "\\end{align}\n", + "allowing us to write\n", + "\\begin{align}\n", + "V_m(t) = \\frac{R_m}{R_m + R_s} \\left[ V_h + \\Delta V_c (1 - e^{-t/\\tau}) \\right] &&\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "8baf193f", + "metadata": {}, + "source": [ + "### A model for I\n", + "\n", + "Alternatively, we can rephrase this as a model for $I$\n", + "\n", + "\\begin{align}\n", + "\\dot{I} = \\frac{\\frac{V_c}{R_s + R_m} - I}{\\frac{R_sR_m}{R_s+R_m}C_m} + \\frac{\\dot{V}_c}{R_s}\n", + " = \\frac{I_\\infty - I}{\\tau} + \\frac{\\dot{V}_c}{R_s}\n", + "\\end{align}\n", + "\n", + "But now we get all the problems of a discontinuous $V_c$.\n", + "We can bypass a lot of issues by analysing only the parts of the steps where $V_c$ is constant.\n", + "In that case, we get a similar solution\n", + "\\begin{align}\n", + "I(t) = I_\\infty - \\left(I_\\infty - I_0\\right) e^{-t/\\tau}\n", + "\\end{align}\n", + "\n", + "But the constants no longer have a nice symmetry:\n", + "\\begin{align}\n", + "I_{\\infty,1} = \\frac{1}{R_m + R_s} V_{c,1} \\neq I_{0,2}\n", + " &\\quad&\n", + "I_{0,1} = \\frac{V_{c,1} - V_0}{R_s}\n", + " = \\frac{V_{c,1} - \\frac{R_m}{R_m+R_s}V_{c,2}}{R_s} \\neq I_{\\infty,2}\n", + "\\end{align}\n", + "\n", + "As with $V$, we will also define\n", + "\\begin{align}\n", + "\\Delta I = I_{\\infty,1} - I_{\\infty,2} = \\frac{\\Delta V_c}{R_m + R_s}\n", + "\\end{align}\n", + "\n", + "The charge carried by a current will prove quite useful, so we work out the integral of $I$ too:\n", + "\n", + "\\begin{align}\n", + "\\int_0^T I\n", + " &= T I_\\infty - (I_\\infty - I_0) \\left[ -\\tau e^{-T/\\tau} + \\tau \\right] \\\\\n", + " &\\approx T I_\\infty - (I_\\infty - I_0) \\tau, \\quad \\text{if } T \\gg \\tau\n", + "\\end{align}\n", + "\n", + "The approximation is quite a good one: for $T/\\tau = 10$ we already find $e^{T/\\tau}\\approx 5\\cdot10^{-5}$." + ] + }, + { + "cell_type": "markdown", + "id": "bab9b21f", + "metadata": {}, + "source": [ + "### Simulations\n", + "\n", + "We'll now code up the V model, and run a simulation to compare with our analytical results." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "cd9302ba", + "metadata": {}, + "outputs": [], + "source": [ + "import myokit\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "efd71b05", + "metadata": {}, + "outputs": [], + "source": [ + "mA = myokit.parse_model('''\n", + "[[model]]\n", + "amp.Vm = -70\n", + "\n", + "[engine]\n", + "time = 0 [ms] in [ms] bind time\n", + "pace = 0 bind pace\n", + "\n", + "[amp]\n", + "Rs = 11.7e-3 [GOhm] in [GOhm]\n", + "Cm = 31.89 [pF] in [pF]\n", + "Rm = 0.5003 [GOhm] in [GOhm]\n", + "Vc = 1 [mV] * engine.pace\n", + " in [mV]\n", + "dot(Vm) = (Rm * I_obs - Vm) / (Rm * Cm)\n", + " in [mV]\n", + "I_obs = (Vc - Vm) / Rs\n", + " in [pA]\n", + "''')\n", + "mA.check_units(myokit.UNIT_STRICT)\n", + "\n", + "# Get model constants\n", + "Rs = mA.get('amp.Rs').eval()\n", + "Rm = mA.get('amp.Rm').eval()\n", + "Cm = mA.get('amp.Cm').eval()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "043060a7", + "metadata": {}, + "outputs": [], + "source": [ + "T = 10\n", + "V1 = -60\n", + "V2 = -70\n", + "dV = V1 - V2\n", + "\n", + "p = myokit.Protocol()\n", + "p.schedule(start=0, level=V1, duration=T, period=2*T)\n", + "p.schedule(start=T, level=V2, duration=T, period=2*T)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "245620d1", + "metadata": {}, + "outputs": [], + "source": [ + "sA = myokit.Simulation(mA, p)\n", + "sA.set_tolerance(1e-12, 1e-12)\n", + "sA.pre(2 * T)\n", + "dA = sA.run(2 * T).npview()" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "d8c1f6d9", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "V0, V8, tau -68.400390625 -58.62890624999999 0.3645867849609375\n", + "V0 = -68.40 mV\n", + "Voo = -58.63 ,V\n", + "tau = 0.365 ms\n", + "I0 = 717.98 pA\n", + "Ioo = -117.2 pA\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(15, 5))\n", + "ax1 = fig.add_subplot(1, 2, 1)\n", + "ax2 = fig.add_subplot(1, 2, 2)\n", + "\n", + "# Calculate analytical solutions for V\n", + "V0 = Rm / (Rm + Rs) * V2\n", + "V8 = Rm / (Rm + Rs) * V1\n", + "tau = (Rm * Rs) / (Rm + Rs) * Cm\n", + "print('V0, V8, tau', V0, V8, tau)\n", + "print(f'V0 = {V0:.2f} mV')\n", + "print(f'Voo = {V8:.2f} ,V')\n", + "print(f'tau = {tau:> .3f} ms')\n", + "\n", + "# Show limits and exponential fit\n", + "ax1.axhline(V0, color='r', ls='-.', label='$V_0$')\n", + "ax1.axhline(V8, color='grey', ls='--', label='$V_\\infty$')\n", + "ax1.plot(dA.time(), dA['amp.Vm'], lw=3, label='Vm')\n", + "ax1.plot(dA.time(), V8 - (V8 - V0) * np.exp(-dA.time() / tau), '--', label='exponential')\n", + "ax1.legend(loc='center right')\n", + "\n", + "# Calculate analytical solutions for I\n", + "I0 = (V1 - Rm / (Rm + Rs) * V2) / Rs\n", + "I8 = 1 / (Rm + Rs) * V1\n", + "print(f'I0 = {I0:.2f} pA')\n", + "print(f'Ioo = {I8:.1f} pA')\n", + "\n", + "# Show limits and exponential fit\n", + "ax2.axhline(I0, color='r', ls='-.', label='$I_0$')\n", + "ax2.axhline(I8, color='grey', ls='--', label='$I_\\infty$')\n", + "ax2.plot(dA.time(), dA['amp.I_obs'], label='$Iobs$')\n", + "ax2.plot(dA.time(), I8 - (I8 - I0) * np.exp(-dA.time() / tau), '--', label='exponential')\n", + "ax2.legend(loc='lower right')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "d90e4c6b", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "True Rs 11.7 MOhm\n", + "True Rm 500.3 MOhm\n", + "True Cm 31.89 pF\n" + ] + } + ], + "source": [ + "print(f'True Rs {1e3 * Rs:>5.1f} MOhm')\n", + "print(f'True Rm {1e3 * Rm:.1f} MOhm')\n", + "print(f'True Cm {Cm:>5.2f} pF')" + ] + }, + { + "cell_type": "markdown", + "id": "a5a3ff12", + "metadata": {}, + "source": [ + "## Suggested analysis\n", + "\n", + "Here we'll try to recapitulate the suggested procedure, using asterisks to distinguish observed or estimated quantities from their theoretical or user-determined counterparts." + ] + }, + { + "cell_type": "markdown", + "id": "992cc33d", + "metadata": {}, + "source": [ + "### Average the tail-ends to estimate $I_{\\infty,1}$ and $I_{\\infty,2}$\n", + "\n", + "Estimate $I_{\\infty,1}$ and $I_{\\infty,2}$ as the mean observed current of the final 20% of each step.\n", + "\n", + "\\begin{align}\n", + "I_{\\infty,1}^* &= \\text{mean observed I between 0.8T and T} \\\\\n", + "I_{\\infty,2}^* &= \\text{mean observed I between 1.8T and 2T} \\\\\n", + "\\end{align}\n", + "\n", + "and use\n", + "\n", + "\\begin{align}\n", + "\\Delta I^* = I_{\\infty,1}^* - I_{\\infty,2}^* \n", + " = \\frac{V_{c,1} - V_{c,2}}{R_m^* + R_s^*}\n", + " = \\frac{\\Delta V_c}{R_t^*}\n", + "\\end{align}\n", + "\n", + "to find an estimate of $R_t^* = R_m^* + R_s^*$." + ] + }, + { + "cell_type": "markdown", + "id": "8e9ea597", + "metadata": {}, + "source": [ + "### Fit an exponential to find $\\tau^*$\n", + "\n", + "A single exponential curve is fit to the observed current between 0.1T and 0.8T for step 1, and 1.1T and 1.8T for step 2.\n", + "Both should yield the same time constant $\\tau^*$, for which\n", + "\n", + "\\begin{align}\n", + "\\tau^* = \\frac{R_m^*R_s^*}{R_t^*} C_m^*\n", + "\\end{align}\n", + "\n", + "Estimates for $I_{0,1}^*$ and $I_{0,2}^*$ can be obtained in the same step, but are not mentioned in the text.\n", + "They are probably made, however, and used to show the quality of fit." + ] + }, + { + "cell_type": "markdown", + "id": "92306d8f", + "metadata": {}, + "source": [ + "### Integrate to find the charge used by $C_m$\n", + "\n", + "Next, an estimate of the current used to charge $C_m$ is made.\n", + "To do this, we numerically find the integral of\n", + "\n", + "\\begin{align}\n", + "I(t) = \\frac{V_m(t)}{R_m} + C_m\\dot{V}_m(t)\n", + "\\end{align}\n", + "\n", + "and then subtract the part due to $V_m(t)/R_m$.\n", + "\n", + "For the total charge carried in step 1, we can write\n", + "\\begin{align}\n", + "Q_T = \\int_0^T I(t)dt \\approx T I_{\\infty,1} - (I_{\\infty,1} - I_{0,1}) \\tau\n", + "\\end{align}\n", + "where the approximation holds if $T$ is long enough compared to $\\tau$ (and where we should really be writing e.g. $0^+$ or $T^-$ to indicate that we are not including the point with the discontinuity).\n", + "\n", + "For the charge due to $V_m(t)/R_m$ we find\n", + "\n", + "\\begin{align}\n", + "Q_R = \\frac{1}{R_m} \\int_0^T V_m(t)dt\n", + " \\approx \\frac{T V_{\\infty,1} - (V_{\\infty,1} - V_{\\infty,2}) \\tau}{R_m}\n", + " = T I_{\\infty,1} - (I_{\\infty,1} - I_{\\infty,2}) \\tau\n", + "\\end{align}\n", + "\n", + "So that the charge needed to charge $C_m$ is given by\n", + "\n", + "\\begin{align}\n", + "Q_m = Q_T - Q_R = (I_{0,1} - I_{\\infty,1}) \\tau + \\Delta I \\, \\tau\n", + "\\end{align}\n", + "\n", + "To approximate $Q_m$ we estimate the first term $Q_1 = (I_{0,1} - I_{\\infty,1}) \\tau$ by numerically integrating.\n", + "The second term, $Q_2 = \\Delta I\\,\\tau$, is approximated by our estimated values $\\Delta I^* \\tau^*$:\n", + "\n", + "\\begin{align}\n", + "Q_m^* = Q_1^* + Q_2^* = Q_1^* + \\Delta I^* \\tau^*\n", + "\\end{align}\n", + "\n", + "Finally, we use the fact that, no matter how we got to this state, the charge stored in the capacitor relative to the previous step will be $C_m \\Delta V_m$.\n", + "This gives us the relationship\n", + "\n", + "\\begin{align}\n", + "Q_m^* = Q_1^* - \\Delta I^* \\tau^* = \\frac{R_m^*}{R_t^*} C_m^* \\Delta V_c\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "80590270", + "metadata": {}, + "source": [ + "### Solving\n", + "\n", + "Finally, we combine $\\tau = \\frac{R_mR_s}{R_t}$ and $C_m^*=\\frac{Q_m^*R_t^*}{R_m^*\\Delta V_c}$ to find\n", + "\n", + "\\begin{align}\n", + "R_s^* = \\frac{\\tau^* \\Delta V_c}{Q_m^*}\n", + "\\end{align}\n", + "\n", + "We can then write\n", + "\n", + "\\begin{align}\n", + "\\Delta I^* &= I_{\\infty,1}^* - I_{\\infty,2}^*, \\quad \\text{From means}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "\\tau^* &= \\text{From a single exponential fit}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "Q_1^* &= \\text{Area under the curve}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "Q_m^* = Q_1^* + \\Delta I^* \\tau^*\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "R_s^* = \\frac{\\tau^* \\Delta V_c}{Q_m^*}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "R_m^* = \\frac{\\Delta V_c}{\\Delta I^*} - R_s^*\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "C_m^* = \\frac{Q_m^* (R_m^* + R_s^*)}{R_m^* \\Delta V_c}\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "d9682b5f", + "metadata": {}, + "source": [ + "## Implementation\n", + "\n", + "We can try this out on our model from above." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "6ba64037", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Using dt=0.04 for a total of 500 samples\n" + ] + } + ], + "source": [ + "N = 500\n", + "dt = (2 * T) / N\n", + "print(f'Using dt={dt} for a total of {N} samples')" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "6ac56577", + "metadata": {}, + "outputs": [], + "source": [ + "sA.reset()\n", + "dA = sA.run(2 * T, log_interval=dt).npview()" + ] + }, + { + "cell_type": "markdown", + "id": "d8643531", + "metadata": {}, + "source": [ + "Now we find points at 10% and 80% of each step.\n", + "Annoyingly, Axon always gives the protocol a little offset, which we will account for here by using slightly different percentages." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "cc07b50e", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "t(10%) 0.40\n", + "t(80%) 7.40\n" + ] + } + ], + "source": [ + "ipad = 15 # a 6% shift\n", + "i10 = 25 - ipad\n", + "i80 = 200 - ipad\n", + "i100 = 250 - ipad\n", + "i110, i180, i200 = 250 + i10, 250 + i80, 250 + i100\n", + "\n", + "print(f't(10%) {dA.time()[i10]:>4.2f}')\n", + "print(f't(80%) {dA.time()[i80]:>4.2f}')" + ] + }, + { + "cell_type": "markdown", + "id": "c5ca9e97", + "metadata": {}, + "source": [ + "With these points we perform the estimates for $I_{\\infty,1}$, $I_{\\infty,2}$, and $dI$." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "1d9fb27e", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "I1* = -117.1874998, real I1 = -117.1875000\n", + "I2* = -136.7188, real dI = -136.7188\n", + "dI* = 19.5313, real dI = 19.5312\n" + ] + } + ], + "source": [ + "t, I = dA.time(), dA['amp.I_obs']\n", + "I1_est = np.mean(I[i80:i100])\n", + "I2_est = np.mean(I[i180:i200])\n", + "dI_est = I1_est - I2_est\n", + "dI = dV / (Rm + Rs)\n", + "print(f'I1* = {I1_est:.7f}, real I1 = {I8:.7f}')\n", + "print(f'I2* = {I2_est:>9.4f}, real dI = {I8 - dI:>9.4f}')\n", + "print(f'dI* = {dI_est:>9.4f}, real dI = {dI:>9.4f}')" + ] + }, + { + "cell_type": "markdown", + "id": "ac3ab97b", + "metadata": {}, + "source": [ + "Next, we fit a single polynomial.\n", + "To stay true to the manual (and the 80s/90s technology?) we do this using a log-transform and manual linear least squares.\n", + "\n", + "According to the algorithm section, this is performed using a lookup table.\n", + "It's likely that there's also some mechanism to avoid divide-by-zero issues." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "b46eecdc", + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Tau, lazy estimate 0.363\n", + "Tau, least squares 0.364\n", + "Tau, known value 0.365\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "tlog = t[i10:i80]\n", + "ilog = np.log(I[i10:i80] - I1_est)\n", + "\n", + "# From this, we can calculate a very cheap tau\n", + "tau_lazy = (0.7 * T) / (ilog[0] - ilog[-1])\n", + "\n", + "# Or do a bit more work for a manual linear least squares\n", + "mx = np.mean(tlog)\n", + "my = np.mean(ilog)\n", + "rx = tlog - mx\n", + "ry = ilog - my\n", + "b = np.sum(rx * ry) / np.sum(rx ** 2)\n", + "a = my - b * mx\n", + "tau_est = -1 / b\n", + "\n", + "fig = plt.figure(figsize=(15, 5))\n", + "ax = fig.add_subplot()\n", + "ax.plot(tlog, ilog, lw=3, label='Data')\n", + "ax.plot(tlog, a + b * tlog, '--', label='Least squares fit')\n", + "ax.legend()\n", + "\n", + "print(f'Tau, lazy estimate {tau_lazy:.3f}')\n", + "print(f'Tau, least squares {tau_est:.3f}')\n", + "print(f'Tau, known value {tau:.3f}')" + ] + }, + { + "cell_type": "markdown", + "id": "d2b71e51", + "metadata": {}, + "source": [ + "As promised, we get a bonus $I_0$ estimate:" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "06cdb2dc", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "I0, least squares 734.65, real 717.98\n" + ] + } + ], + "source": [ + "I0_est = np.exp(a) + I1_est\n", + "print(f'I0, least squares {I0_est:.2f}, real {I0:.2f}')" + ] + }, + { + "cell_type": "markdown", + "id": "4c991442", + "metadata": {}, + "source": [ + "It's a bit off, which is to be expected when we extrapolate up an exponential, and probably the reason that we don't use this result beyond plotting.\n", + "\n", + "We can now show the obtained fits" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "9ba2030d", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(12, 5))\n", + "ax = fig.add_subplot()\n", + "\n", + "dot = dict(color='grey', ls='--', lw=1)\n", + "ora = dict(color='tab:orange', lw=2)\n", + "ax.axvline(t[i10], **dot)\n", + "ax.axvline(t[i80], **dot)\n", + "ax.axvline(t[i100], **dot)\n", + "ax.plot(t, I, label='$Iobs$')\n", + "ax.plot((t[i80], t[i100]), (I1_est, I1_est), **ora)\n", + "ax.plot((t[i180], t[i200]), (I2_est, I2_est), **ora)\n", + "te = t[i10 // 3:i10 + 50]\n", + "ax.plot(te, I1_est - (I1_est - I0_est) * np.exp(-te / tau_est))\n", + "\n", + "ax.legend(loc='lower right')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "77e1949e", + "metadata": {}, + "source": [ + "Now we integrate the positive parts of $I - I_{\\infty,1}$ for step 1 to find Qm." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "a8fa735f", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Estimated Qm 311.90 fC, real 311.61\n" + ] + } + ], + "source": [ + "# Integrate part above I1 to find Q1\n", + "iup = I[:i80] - I1_est\n", + "iup = iup[iup > 0]\n", + "Qm_est = np.trapz(iup, dx=dt)\n", + "\n", + "# And correct to find Qm, in pA * ms = fC\n", + "Qm_est += dI_est * tau_est\n", + "print(f'Estimated Qm {Qm_est:.2f} fC, real {(I0 - I8 + dI) * tau:.2f}')" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "a10a0806", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Estimated Rs 11.7 MOhm, real 11.7 Mohm\n", + "Estimated Rm 500.3 MOhm, real 500.3 MOhm\n", + "Estimated Cm 31.92 pF, real 31.89 pF\n" + ] + } + ], + "source": [ + "Rs_est = tau_est * dV / Qm_est\n", + "Rm_est = dV / dI_est - Rs_est\n", + "Cm_est = Qm_est * (Rm_est + Rs_est) / (Rm_est * dV)\n", + "\n", + "print(f'Estimated Rs {1e3 * Rs_est:>5.1f} MOhm, real {1e3 * Rs:>5.1f} Mohm')\n", + "print(f'Estimated Rm {1e3 * Rm_est:>5.1f} MOhm, real {1e3 * Rm:>5.1f} MOhm')\n", + "print(f'Estimated Cm {Cm_est:>5.2f} pF, real {Cm:>5.2f} pF')" + ] + }, + { + "cell_type": "markdown", + "id": "efe51fed", + "metadata": {}, + "source": [ + "And there we go!" + ] + }, + { + "cell_type": "markdown", + "id": "f858b751", + "metadata": {}, + "source": [ + "## Test on a trickier model\n", + "\n", + "We can apply the same methods to a model with slightly more realistic characteristics.\n", + "We'll leave out $C_p$ and any corrections, but maintain a $V_o$ that's filtered by $R_fC_f$." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "c2dd7b36", + "metadata": {}, + "outputs": [], + "source": [ + "mB = myokit.parse_model('''\n", + "[[model]]\n", + "amp.Vm = -70\n", + "amp.Vo = -70\n", + "\n", + "[engine]\n", + "time = 0 [ms] in [ms] bind time\n", + "pace = 0 bind pace\n", + "\n", + "[amp]\n", + "Rm = 0.5003 [GOhm] in [GOhm]\n", + "Rs = 11.7e-3 [GOhm] in [GOhm]\n", + "Cm = 31.89 [pF] in [pF]\n", + "Rf = 0.5 [GOhm] in [GOhm]\n", + "Cf = 0.15 [pF] in [pF]\n", + "I = Vm / Rm\n", + " in [pA]\n", + "Vc = engine.pace * 1 [mV]\n", + " in [mV]\n", + "dot(Vm) = (Vc - Vm) / (Rs * Cm) - I / Cm\n", + " in [mV]\n", + "dot(Vo) = (Vc - Vm) / (Rs * Cf) - (Vo - Vc) / (Rf * Cf)\n", + " in [mV]\n", + "I_obs = (Vo - Vc) / Rf\n", + " in [pA]\n", + "''')\n", + "mB.check_units(myokit.UNIT_STRICT)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "62d00e3e", + "metadata": {}, + "outputs": [], + "source": [ + "sB = myokit.Simulation(mB, p)\n", + "sB.set_tolerance(1e-12, 1e-12)\n", + "sB.pre(2 * T)\n", + "dB = sB.run(2 * T, log_interval=dt).npview()" + ] + }, + { + "cell_type": "markdown", + "id": "f3ea5c8b", + "metadata": {}, + "source": [ + "This model has trickier behaviour:" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "e397d8d6", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(15, 5))\n", + "ax1 = fig.add_subplot(1, 2, 1)\n", + "ax2 = fig.add_subplot(1, 2, 2)\n", + "ax1.plot(dB.time(), dB['amp.Vm'])\n", + "ax2.plot(dB.time(), dB['amp.I_obs'])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "94a6ba62", + "metadata": {}, + "source": [ + "Estimate $I_{\\infty,1}$, $I_{\\infty,2}$, and $dI$." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "38b7d248", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "I1* = -117.1874997\n", + "I2* = -136.7188\n", + "dI* = 19.5313\n" + ] + } + ], + "source": [ + "t, I = dB.time(), dB['amp.I_obs']\n", + "I1_est = np.mean(I[i80:i100])\n", + "I2_est = np.mean(I[i180:i200])\n", + "dI_est = I1_est - I2_est\n", + "print(f'I1* = {I1_est:.7f}')\n", + "print(f'I2* = {I2_est:>9.4f}')\n", + "print(f'dI* = {dI_est:>9.4f}')" + ] + }, + { + "cell_type": "markdown", + "id": "54ede099", + "metadata": {}, + "source": [ + "Estimate $\\tau$" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "6e214808", + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Tau* = 0.364 ms\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "tlog = t[i10:i80]\n", + "ilog = np.log(I[i10:i80] - I1_est)\n", + "\n", + "mx = np.mean(tlog)\n", + "my = np.mean(ilog)\n", + "rx = tlog - mx\n", + "ry = ilog - my\n", + "b = np.sum(rx * ry) / np.sum(rx ** 2)\n", + "a = my - b * mx\n", + "\n", + "tau_est = -1 / b\n", + "I0_est = np.exp(a) + I1_est\n", + "\n", + "fig = plt.figure(figsize=(15, 5))\n", + "ax = fig.add_subplot()\n", + "ax.plot(tlog, ilog, lw=3, label='Data')\n", + "ax.plot(tlog, a + b * tlog, '--', label='Least squares fit')\n", + "ax.legend()\n", + "\n", + "print(f'Tau* = {tau_est:.3f} ms')" + ] + }, + { + "cell_type": "markdown", + "id": "21bf20ec", + "metadata": {}, + "source": [ + "Show the obtained fits" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "bf4cb270", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(12, 5))\n", + "ax = fig.add_subplot()\n", + "\n", + "dot = dict(color='grey', ls='--', lw=1)\n", + "ora = dict(color='tab:orange', lw=2)\n", + "ax.axvline(t[i10], **dot)\n", + "ax.axvline(t[i80], **dot)\n", + "ax.axvline(t[i100], **dot)\n", + "ax.plot(t, I, label='$Iobs$')\n", + "ax.plot((t[i80], t[i100]), (I1_est, I1_est), **ora)\n", + "ax.plot((t[i180], t[i200]), (I2_est, I2_est), **ora)\n", + "te = t[i10 // 3:i10 + 50]\n", + "ax.plot(te, I1_est - (I1_est - I0_est) * np.exp(-te / tau_est))\n", + "\n", + "ax.legend(loc='lower right')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "633b88ee", + "metadata": {}, + "source": [ + "Find Qm" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "01eb518a", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Estimated Qm 301.83 fC\n" + ] + } + ], + "source": [ + "iup = I[:i80] - I1_est\n", + "iup = iup[iup > 0]\n", + "Qm_est = np.trapz(iup, dx=dt) + dI_est * tau_est\n", + "print(f'Estimated Qm {Qm_est:.2f} fC')" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "7a019e71", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Estimated Rs 12.0 MOhm\n", + "Estimated Rm 500.0 MOhm\n", + "Estimated Cm 30.91 pF\n" + ] + } + ], + "source": [ + "Rs_est = tau_est * dV / Qm_est\n", + "Rm_est = dV / dI_est - Rs_est\n", + "Cm_est = Qm_est * (Rm_est + Rs_est) / (Rm_est * dV)\n", + "\n", + "print(f'Estimated Rs {1e3 * Rs_est:>5.1f} MOhm')\n", + "print(f'Estimated Rm {1e3 * Rm_est:>5.1f} MOhm')\n", + "print(f'Estimated Cm {Cm_est:>5.2f} pF')" + ] + }, + { + "cell_type": "markdown", + "id": "1355c921", + "metadata": {}, + "source": [ + "So the procedure seems reasonably robust!" + ] + }, + { + "cell_type": "markdown", + "id": "95c1f3bd", + "metadata": {}, + "source": [ + "## One more time with noise\n", + "\n", + "Now we add noise, and discover why other ways of fitting exponentials are nicer." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "1c731794", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Tau* = 0.368 ms\n", + "I0* = 927.829 pA\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "I = dB['amp.I_obs'] + np.random.normal(0, 5, t.shape)\n", + "I1_est = np.mean(I[i80:i100])\n", + "I2_est = np.mean(I[i180:i200])\n", + "dI_est = I1_est - I2_est\n", + "\n", + "# Find points in the 10-80% range\n", + "tlog = t[i10:i80]\n", + "ilog = I[i10:i80] - I1_est\n", + "# But instead of 80%, cut-off when the data gets\n", + "# 1. too close to zero\n", + "# 2. too similar to noise to distinguish from zero\n", + "std = np.std(I[i80:i100])\n", + "istd = np.where(ilog < 2 * std)[0][0]\n", + "tlog = tlog[:istd]\n", + "ilog = ilog[:istd]\n", + "ilog = np.log(ilog)\n", + "\n", + "mx = np.mean(tlog)\n", + "my = np.mean(ilog)\n", + "rx = tlog - mx\n", + "ry = ilog - my\n", + "b = np.sum(rx * ry) / np.sum(rx ** 2)\n", + "a = my - b * mx\n", + "\n", + "fig = plt.figure(figsize=(15, 5))\n", + "ax = fig.add_subplot()\n", + "ax.plot(tlog, ilog, lw=3, label='Data')\n", + "ax.plot(tlog, a + b * tlog, '--', label='Least squares fit')\n", + "ax.legend()\n", + "\n", + "tau_est = -1 / b\n", + "I0_est = np.exp(a) + I1_est\n", + "print(f'Tau* = {tau_est:.3f} ms')\n", + "print(f'I0* = {I0_est:.3f} pA')" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "39422e0c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Estimated Rs 11.6 MOhm\n", + "Estimated Rm 506.6 MOhm\n", + "Estimated Cm 32.34 pF\n" + ] + } + ], + "source": [ + "iup = I[:i80] - I1_est\n", + "iup = iup[iup > 0]\n", + "Qm_est = np.trapz(iup, dx=dt) + dI_est * tau_est\n", + "\n", + "Rs_est = tau_est * dV / Qm_est\n", + "Rm_est = dV / dI_est - Rs_est\n", + "Cm_est = Qm_est * (Rm_est + Rs_est) / (Rm_est * dV)\n", + "\n", + "fig = plt.figure(figsize=(12, 5))\n", + "ax = fig.add_subplot()\n", + "ax.axvline(t[i10], **dot)\n", + "ax.axvline(t[i80], **dot)\n", + "ax.axvline(t[i100], **dot)\n", + "ax.plot(t, I, label='$Iobs$')\n", + "ax.plot((t[i80], t[i100]), (I1_est, I1_est), **ora)\n", + "ax.plot((t[i180], t[i200]), (I2_est, I2_est), **ora)\n", + "te = t[i10 // 3:i10 + 50]\n", + "ax.plot(te, I1_est - (I1_est - I0_est) * np.exp(-te / tau_est))\n", + "ax.legend(loc='lower right')\n", + "plt.show()\n", + "\n", + "print(f'Estimated Rs {1e3 * Rs_est:>5.1f} MOhm')\n", + "print(f'Estimated Rm {1e3 * Rm_est:>5.1f} MOhm')\n", + "print(f'Estimated Cm {Cm_est:>5.2f} pF')" + ] + }, + { + "cell_type": "markdown", + "id": "3e0ba129", + "metadata": {}, + "source": [ + "So with noise, the method becomes trickier.\n", + "One strategy to remedy this is to measure the same pulse N times, and reduce the noise by averaging." + ] + }, + { + "cell_type": "markdown", + "id": "4d029347", + "metadata": {}, + "source": [ + "## Wrapping it up in a function\n", + "\n", + "Finally, we can wrap this method up in a re-usable method.\n", + "This version has a few extra features:\n", + "\n", + "1. It uses both steps (V1 and V2) to estimate two taus and two Q1s, from which it then takes an average\n", + "2. It supports irregularly sampled data." + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "e2de955e", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Estimated Rs 11.7 MOhm\n", + "Estimated Rm 500.3 MOhm\n", + "Estimated Cm 31.92 pF\n" + ] + } + ], + "source": [ + "from library import estimate_cell_parameters\n", + "\n", + "I = dA['amp.I_obs']\n", + "Rs_est, Rm_est, Cm_est, points = estimate_cell_parameters(t, I, T, dV, dt)\n", + "\n", + "print(f'Estimated Rs {1e3 * Rs_est:>5.1f} MOhm')\n", + "print(f'Estimated Rm {1e3 * Rm_est:>5.1f} MOhm')\n", + "print(f'Estimated Cm {Cm_est:>5.2f} pF')" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "531b54fc", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Estimated Rs 11.1 MOhm\n", + "Estimated Rm 471.2 MOhm\n", + "Estimated Cm 30.34 pF\n" + ] + } + ], + "source": [ + "I = dB['amp.I_obs'] + np.random.normal(0, 5, size=t.shape)\n", + "Rs_est, Rm_est, Cm_est, points = estimate_cell_parameters(t, I, T, dV, dt)\n", + "\n", + "print(f'Estimated Rs {1e3 * Rs_est:>5.1f} MOhm')\n", + "print(f'Estimated Rm {1e3 * Rm_est:>5.1f} MOhm')\n", + "print(f'Estimated Cm {Cm_est:>5.2f} pF')" + ] + }, + { + "cell_type": "markdown", + "id": "883f5be6", + "metadata": {}, + "source": [ + "The quality of the estimate varies with the noise, so in real life it will vary a bit every time the test is run.\n", + "Besides reducing noise by averaging, we can also try increasing the sampling rate:" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "ed421000", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Estimated Rs 11.6 MOhm\n", + "Estimated Rm 502.0 MOhm\n", + "Estimated Cm 31.59 pF\n" + ] + } + ], + "source": [ + "f = 0.01\n", + "sB.reset()\n", + "dB = sB.run(2 * T, log_interval=f * dt).npview()\n", + "t = dB.time()\n", + "I = dB['amp.I_obs'] + np.random.normal(0, 5, size=t.shape)\n", + "Rs_est, Rm_est, Cm_est, points = estimate_cell_parameters(t, I, T, dV, f * dt)\n", + "\n", + "print(f'Estimated Rs {1e3 * Rs_est:>5.1f} MOhm')\n", + "print(f'Estimated Rm {1e3 * Rm_est:>5.1f} MOhm')\n", + "print(f'Estimated Cm {Cm_est:>5.2f} pF')" + ] + }, + { + "cell_type": "markdown", + "id": "c8f25203", + "metadata": {}, + "source": [ + "## Conclusion\n", + "\n", + "We have rederived and implemented a method of calculating $R_s$, $R_m$, and $C_m$ suggested in the pCLAMP manual.\n", + "On noise-free signals it performs well.\n", + "On noisy signals it still provides usable estimates, and the accuracy can be increased by averaging out the noise or using higher sampling rates." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.6" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/artefacts/appendix-E2-rs-cm-iterative.ipynb b/artefacts/appendix-E2-rs-cm-iterative.ipynb new file mode 100644 index 0000000..fe19848 --- /dev/null +++ b/artefacts/appendix-E2-rs-cm-iterative.ipynb @@ -0,0 +1,86 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "7fb2df6f", + "metadata": {}, + "source": [ + "# Appendix E2: Estimating Rs and Cm; an iterative approach\n", + "**Appendix E describes Rs and Cm estimation methods**" + ] + }, + { + "cell_type": "markdown", + "id": "e2ffeda4", + "metadata": {}, + "source": [ + "Having reviewed the \"one-shot\" approach used in Axon's pCLAMP, we now turn to the iterative method employed in HEKA devices such as the EPC-10.\n", + "\n", + "As reference we shall use the EPC-10 hardware manual version 3.1, as available from [HEKA](http://www.heka.com/downloads/downloads_main.html#down_pca), starting on page 57, but more importantly - [Sigworth 1995c](https://doi.org/10.1016/0165-0270(94)00129-5), section 3." + ] + }, + { + "cell_type": "markdown", + "id": "6b6ceac4", + "metadata": {}, + "source": [ + "Step from $-V_0/2$ to $V_0/2$ at $t=0$\n", + "\n", + "Linear network $G_s$ followed by ($G_m$ and $C_m$) in parallel" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "24654ce2", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d5160014", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "b86f5553", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "46712904", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.9" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/artefacts/artefacts-1-modelling-patch-clamp.ipynb b/artefacts/artefacts-1-modelling-patch-clamp.ipynb new file mode 100644 index 0000000..cd4961a --- /dev/null +++ b/artefacts/artefacts-1-modelling-patch-clamp.ipynb @@ -0,0 +1,864 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "33970f55", + "metadata": {}, + "source": [ + "# Modelling patch-clamp experiments\n", + "\n", + "In this set of notebooks, we look in detail at processing data obtained from patch-clamp experiments.\n", + "\n", + "In particular, we focus on **manual** and **planar patch clamp** experiments in the **whole cell configuration**.\n", + "These can be used to either\n", + "\n", + "1. pass current through the membrane and measure the resulting voltage (_current clamp_); or \n", + "2. control the membrane voltage and measure the resulting current (_voltage clamp_).\n", + "\n", + "We will focus exclusively on **voltage clamp**.\n", + "Our exposition will follow the excellent book chapter by [Sigworth 1995a](https://doi.org/10.1007/978-1-4419-1229-9_4) (although the parts we use here already appear in the [1983 edition](https://doi.org/10.1007/978-1-4615-7858-1_1)) as well as [Weerakoon et al., 2009](https://doi.org/10.1109/TBCAS.2008.2005419) and [Lei et al., 2020](https://doi.org/10.1098/rsta.2019.0348).\n", + "\n", + "In the first notebook, we introduce an electrical model of a patch-clamp set up and its imperfections.\n", + "In the second, we review a model of the common compensation circuitry used to counter these flaws." + ] + }, + { + "cell_type": "markdown", + "id": "866f0da6", + "metadata": {}, + "source": [ + "## The basic set-up\n", + "\n", + "Detailed descriptions of the patch clamp technique can be found in the chapter [Penner (1995) A Practical Guide to Patch Clamping](https://doi.org/10.1007/978-1-4419-1229-9_1), the (short) book [Molleman (2002) Patch Clamping](https://doi.org/10.1002/0470856521), or the (slightly older) article [Hamill, Marty et al., Sigworth (1981) Improved patch-clamp techniques for high-resolution current recording from cells and cell-free membrane patches](https://doi.org/10.1007/BF00656997).\n", + "\n", + "In brief, a cell is placed in a bath containing an electrode (the _bath electrode_) and an ion-rich solution that can conduct electricity.\n", + "A patch clamp _pipette_ is constructed by pulling on a heated glass tube to form a sharp tip, then filling it with another ion-rich solution, and inserting an electrode into the open end.\n", + "The sharp end of the pipette is then placed against the cell membrane and suction, electric pulses, or chemicals are used to break the membrane inside the pipette opening, establishing an electrical connection to the inside of the cell.\n", + "A _patch clamp amplifier_ is attached to both electrodes, and can now be used to measure and manipulate the voltage between the bath and pipette electrodes.\n" + ] + }, + { + "cell_type": "markdown", + "id": "b8e573b6", + "metadata": {}, + "source": [ + "## An electrical model of the patch-clamp set up\n", + "\n", + "Now that we have access to the inside & outside of the cell, how can we control its voltage and measure the current?\n", + "\n", + "An outline of the answer is given below.\n", + "We will assume some familiarity with passive electronics, but provide links to appendices for the more complicated parts.\n", + "Importantly, the schematics given here are _simplifications_, illustrating the principles of a patch-clamp amplifier but omitting real-life complications." + ] + }, + { + "cell_type": "markdown", + "id": "b98ff54b", + "metadata": {}, + "source": [ + "Figure 1 shows a very simple schematic to measure small currents.\n", + "A battery $V_c$ is attached to a pipette, and a resistor with a known resistance $R$ is introduced.\n", + "To obtain the current flowing into the patch clamp assembly, $I$, we measure the voltage drop $V_\\text{out} = I R$ across the resistor and use\n", + "\n", + "$$ I = V_\\text{out} / R $$" + ] + }, + { + "cell_type": "markdown", + "id": "630cf0d5", + "metadata": {}, + "source": [ + "\n", + "\n", + "_**Figure 1**: A very simple current measuring device (adapted from Sigworth 1995a)._" + ] + }, + { + "cell_type": "markdown", + "id": "80896b76", + "metadata": {}, + "source": [ + "By choosing a large enough $R$ we get a measurable $V_\\text{out}$ for even very small $I$.\n", + "However, a large $R$ also creates a big difference between the voltage we control, $V_c$, and the voltage over the patch clamp assembly.\n", + "\n", + "A clever trick with an [op amp](https://en.wikipedia.org/wiki/Operational_amplifier) can get us around this:" + ] + }, + { + "cell_type": "markdown", + "id": "0fcac2ba", + "metadata": {}, + "source": [ + "\n", + "\n", + "_**Figure 2**: Using an op amp to measure small currents._" + ] + }, + { + "cell_type": "markdown", + "id": "524bef2a", + "metadata": {}, + "source": [ + "We analyse this circuit using two properties of **an idealised** op-amp:\n", + "\n", + "1. Connected in a negative feedback loop like above, the op amp instantaneously adjusts its output $V_o$ until the voltages $V_+$ and $V_-$ at its input terminals are the same.\n", + "2. No current flows into or out of the input terminals.\n", + "\n", + "From the first property we get $V_- = V_c$.\n", + "The second gives us $I = I_R$.\n", + "The voltage-drop across the resistor is then\n", + "\n", + "$$ V_o - V_- = V_o - V_c = I_R R = I_ R $$\n", + "\n", + "And so if we can measure $V_\\text{out} \\equiv V_o - V_c$ we can use the known value of $R$ to calculate\n", + "\n", + "$$I = V_\\text{out} / R$$" + ] + }, + { + "cell_type": "markdown", + "id": "450f600a", + "metadata": {}, + "source": [ + "Finally, we add a [difference amplifier](https://en.wikipedia.org/wiki/Differential_amplifier) to $V_o$ and $V_c$.\n", + "A difference amplifier takes the voltage between its two inputs and multiplies it by a fixed factor, using an external power source.\n", + "Here we use an amplification factor of 1 so that it acts as a simple _buffer_.\n", + "This means that the power drawn from $V_{out}$ by any connected measurement equipment will be provided by the amplifier's power source and not by the circuit we are trying to measure.\n", + "\n", + "Like with the op amp, we will assume that no (or negligible) current flows into the difference amplifier." + ] + }, + { + "cell_type": "markdown", + "id": "3849ce4f", + "metadata": {}, + "source": [ + "\n", + "\n", + "_**Figure 3**: A difference amplifier buffers_ $V_\\text{out}$." + ] + }, + { + "cell_type": "markdown", + "id": "5597d996", + "metadata": {}, + "source": [ + "For more about op amps and difference amplifiers, see [Appendix A1](./appendix-A1-op-amp.ipynb)." + ] + }, + { + "cell_type": "markdown", + "id": "8bcc3682", + "metadata": {}, + "source": [ + "### \"Stray\" capacitance\n", + "\n", + "We now make the schematic a bit more realistic, by adding a capacitor in parallel with the resistance.\n", + "In some schematics, this capacitor is drawn with dotted lines, to indicate that it represents the \"stray\" or \"parasitic\" capacitance of the resistor.\n", + "However, in newer designs resistors with a very low stray capacitance are used [(Weerakoon et al., 2009)](https://doi.org/10.1109/TBCAS.2008.2005419) but an extra capacitor is stil added to the circuit to \"make the trans-impedance amplifier stable and to increase the bandwidth of the voltage clamp\".\n", + "The stability argument is discussed in detail in [Sigworth 1995a](https://doi.org/10.1007/978-1-4419-1229-9_4)." + ] + }, + { + "cell_type": "markdown", + "id": "0d7e6238", + "metadata": {}, + "source": [ + "\n", + "\n", + "_**Figure 4**: A stray capacitance exists in parallel with the feedback resistor._" + ] + }, + { + "cell_type": "markdown", + "id": "3e4d7069", + "metadata": {}, + "source": [ + "Because the resistance and capacitance are both in the feedback path of the op amp, we will label the resistance and its capacitance with a small f, for \"feedback\". We can redo the analysis with $C_f$ in place, to see how it affects $V_{out}$. \n", + "\n", + "Because there are now two pathways for the current to flow through we start from:\n", + "\n", + "\\begin{align}\n", + "I &= I_R + I_C \\\\\n", + " &= (V_o - V_-) / R_f + C_f \\frac{d}{dt}\\left(V_o - V_-\\right) \\\\\n", + " &= V_\\text{out} / R_f + C_f \\dot{V}_\\text{out} \\\\\n", + "R_f I &= V_\\text{out} + R_f C_f \\dot{V}_\\text{out} \\\\\n", + "\\end{align}\n", + "\n", + "To allow for the idea that the current we calculate is no longer equal to $I$, we introduce a new symbol\n", + "\n", + "\\begin{align}\n", + "I_\\text{obs} \\equiv V_\\text{out} / R_f\n", + "\\end{align}\n", + "\n", + "substituting this in we find\n", + "\n", + "\\begin{align}\n", + "I = I_\\text{obs} + R_f C_f \\dot{I}_\\text{obs}\n", + "\\end{align}\n", + "or\n", + "\\begin{align}\n", + "\\dot{I}_\\text{obs} = \\frac{I - I_\\text{obs}}{\\tau_f}\n", + "\\end{align}\n", + "\n", + "This means that $I_\\text{obs}$ will follow $I$ with a time constant $\\tau_f = R_f C_f$.\n", + "Typical values for $R_f$ and $C_f$ are given in [Appendix C3](./appendix-C3-parameter-values.ipynb).\n", + "For whole-cell experiments with standard gain settings, you might expect a $\\tau_f$ on the order of $80\\,{\\mu}s$ (HEKA) to $500\\,{\\mu}s$ (Axon)." + ] + }, + { + "cell_type": "markdown", + "id": "d03887fd", + "metadata": {}, + "source": [ + "### Pipette/Parasitic capacitance\n", + "\n", + "We now extend our diagram with another capacitor, $C_p$, to represent the \"pipette capacitance\".\n", + "\n", + "In manual patch clamp, the submerged part of the pipette will act as a capacitor (for a detailed description, see [Levis & Rae 1998](https://doi.org/10.1016/S0076-6879(98)93017-8)).\n", + "The value of $C_p$ depends on the tip shape and wall thickness of the (home made) pipette, and on how much of it is immersed.\n", + "As a result, $C_p$ will vary between experiments.\n", + "During an experiment, changes in the water level due to evaporation and/or perfusion as well as adhesion effects (water slowly creeping up the side of the pipette) can cause further variation (see e.g. [Thompson et al. 2001](https://doi.org/10.1016/S0006-3495(01)75752-9)).\n", + "\n", + "However, there are other capacitative effects in the set-up, and a considerable $C_p$ exists in pipette-free patch clamp methods such as planar patch.\n", + "So it is better to think of $C_p$ as a lumped, _parasitic_ capacitance." + ] + }, + { + "cell_type": "markdown", + "id": "68779d4f", + "metadata": {}, + "source": [ + "\n", + "\n", + "_**Figure 5**: The pipette, or lumped parasitic capacitance._\n", + "_We have renamed_ $V_-$ _to_ $V_p$_, as we will use_ $V_p$ _and_ $C_p$ _together in the equations._" + ] + }, + { + "cell_type": "markdown", + "id": "b253b88a", + "metadata": {}, + "source": [ + "With this our equation for the observed current becomes\n", + "\\begin{align}\n", + "\\dot{I}_\\text{obs} = \\frac{I + C_p \\dot{V}_p - I_\\text{obs}}{\\tau_f}\n", + "\\end{align}\n" + ] + }, + { + "cell_type": "markdown", + "id": "eaf914be", + "metadata": {}, + "source": [ + "### A finite op amp speed\n", + "\n", + "Using the ideal op-amp assumptions, we have $V_p = V_c$ and $\\dot{V}_p = \\dot{V}_c$, so the new term is entirely dependent on our input signal for $V_c$.\n", + "For a step protocol, a common choice in voltage clamping, this would imply that $\\dot{V}_p$ is either 0 during the steps or infinity at the discontinuities.\n", + "To get a more realistic result, we have to assume the op amp makes $C_p$ follow $C_v$ with a finite speed.\n", + "\n", + "Two equations for this are found in the literature.\n", + "[Sigworth 1995a](https://doi.org/10.1007/978-1-4419-1229-9_4) uses\n", + "\n", + "$$ \\dot{V}_o = \\frac{V_c - V_p}{\\tau_a} $$\n", + "\n", + "where $\\tau_a$ is tens of nanoseconds.\n", + "The later work by [Weerakoon et al., 2009](https://doi.org/10.1109/TBCAS.2008.2005419) and then [Lei et al., 2020](https://doi.org/10.1098/rsta.2019.0348) uses\n", + "\n", + "\\begin{align}\n", + "\\dot{V}_p = \\frac{V_c - V_p}{\\tau_c}, \\quad\n", + "\\tau_c = \\frac{C_f + C_p}{C_f} \\tau_a\n", + "\\end{align}\n", + "\n", + "Typical values for $\\tau_a$ are in the order of 10 to 100 ns, as given in [Appendix C3](./appendix-C3-parameter-values.ipynb).\n", + "\n", + "A detailed analysis of the amplifier's \"bandwidth\", used as a measure for how fast the amplifier can respond to changes in $V_c$, is given in Sigworth 1995a.\n", + "It involves transfer function representations, which are discussed in [Appendix A2](./appendix-A2-laplace-and-filters.ipynb), while parts of the analysis are recapitulated in [Appendix A3](./appendix-A3-non-ideal-op-amp.ipynb).\n", + "In short, the equations used by Weerakoon and Lei et al. are a simplification based on Sigworth's analysis.\n", + "They give rise to slightly different behaviour, as can be seen in [Appendix B1](./appendix-B1-uncompensated-models.ipynb), but for the analysis of many patch-clamp experiments their influence is overshadowed by the effects of the _series resistance_ and _membrane capacitance_, which are discussed below." + ] + }, + { + "cell_type": "markdown", + "id": "3864ae6c", + "metadata": {}, + "source": [ + "### Series resistance and membrane capacitance\n", + "\n", + "Finally, we add the cell itself to our model circuit." + ] + }, + { + "cell_type": "markdown", + "id": "975181dc", + "metadata": {}, + "source": [ + "\n", + "\n", + "_**Figure 6**: Series resistance, membrane capacitance, and a mysterious cell._" + ] + }, + { + "cell_type": "markdown", + "id": "5d7e4fd2", + "metadata": {}, + "source": [ + "Our connection to the cell's cytosol is characterised by a _series resistance_ $R_s$.\n", + "And just like $C_p$, which is best thought of as a lumping together of several capacitances, $R_s$ represents the sum effect of all resistances between the amplifier and the cytosol.\n", + "\n", + "To represent the potential between the inside of the cell and the ground, we'll use the symbol $V_m$.\n", + "By assuming that the bath liquid is well grounded we can equate this to the membrane potential, defined as $V_m = V_\\text{in} - V_\\text{out}$.\n", + "\n", + "Finally, we separate the current of interest, $I$, from the current needed to charge the membrane which we represent as a capacitor $C_m$.\n", + "Because we don't want to make any assumptions about the mechanisms giving rise to $I$, we've drawn it as a mysterious little cloud.\n", + "\n", + "As before, we can write equations corresponding to these electrical components.\n", + "For example, the current passing through $R_s$ is proportional to voltage drop $V_p - V_m$, and equals the sum of currents passing through the cell:\n", + "\n", + "$$ \\frac{V_p - V_m}{R_s} = C_m \\dot{V}_m + I $$" + ] + }, + { + "cell_type": "markdown", + "id": "85c6b88b", + "metadata": {}, + "source": [ + "### Voltage offsets\n", + "\n", + "Voltage offsets arise at various locations in the set-up, including inside the amplifier (\\~30mV), at the interface between electrodes and liquids (up to 100mV), and at liquid interfaces (\\~15mV, all estimates are from [Neher, 1995](https://doi.org/10.1007/978-1-4419-1229-9_6)).\n", + "These offsets are typically \"zeroed out\" before an experiment is started (as will be discussed in the next notebook) but for now we will include them by adding a battery representing an offset $E_\\text{off}$." + ] + }, + { + "cell_type": "markdown", + "id": "2da6886d", + "metadata": {}, + "source": [ + "\n", + "\n", + "_**Figure 7**: A battery is added, representing the sum of the various voltage offsets and corrections._" + ] + }, + { + "cell_type": "markdown", + "id": "50562b08", + "metadata": {}, + "source": [ + "Because we assume that all of the components are _linear_ (so that their behaviour depends on voltage differences instead of absolute values), we have some freedom in where we place the battery in the schematic.*\n", + "In particular, when we discuss errors in the $E_\\text{off}$ correction in the next notebook, we will assume it is corrected at the same location.\n", + "\n", + "(*I think! Haven't checked this)" + ] + }, + { + "cell_type": "markdown", + "id": "9a36d864", + "metadata": {}, + "source": [ + "### Leak current\n", + "\n", + "To complete the circuit we add a leak current, indicated as a resistance $R_\\text{leak}$ (usually expressed as $g_\\text{leak} = 1 / R_\\text{leak}$) and an offset $E_\\text{leak}$." + ] + }, + { + "cell_type": "markdown", + "id": "e10f3b06", + "metadata": {}, + "source": [ + "\n", + "\n", + "_**Figure 8**: A leak current is added, including a voltage offset._" + ] + }, + { + "cell_type": "markdown", + "id": "87263721", + "metadata": {}, + "source": [ + "Here we have followed [Lei et al., 2020](https://doi.org/10.1098/rsta.2019.0348) in placing the leak current after the series resistance, and in direct connection with the potential inside the membrane $V_m$.\n", + "This placement assumes assumes that the bulk of the series resistance $R_s$ is encountered before the pipette tip, so that threre is negligible resistance between the point from which current escapes (\"leaks\") and the cell internals.\n", + "\n", + "By modelling the leak current as a simple resistor, we are also assuming linear leak.\n", + "This assumption can be invalidated if calcium fluoride patch enhancer is used ([Lei et al. (2021)](https://doi.org/10.12688/wellcomeopenres.15968.2)).\n", + "\n", + "Finally, we have added a battery representing an offset $E_\\text{leak}$, which assumes that the leak current has a non-zero reversal potential.\n", + "This is not expected from first principles, as a non-selective leak current should have a reversal potential $E_\\text{leak} = 0$.\n", + "Indeed, a simple experiment can be performed by running a patch clamp protocol before attaching to a cell, and this does show reversal at 0mV.\n", + "Yet, in our experience a non-zero $E$ does seem to crop up when analysing patch-clamp data, so we will leave $E_\\text{leak}$ in for the time being.\n", + "\n", + "Accepting these three assumptions, the equation for the leak current becomes:\n", + "\n", + "$$I_\\text{leak} = \\frac{V_m - E_\\text{leak}}{R_\\text{leak}} = g_\\text{leak}\\left(V_m - E_\\text{leak}\\right)$$" + ] + }, + { + "cell_type": "markdown", + "id": "efbd5d5f", + "metadata": {}, + "source": [ + "These considerations show that, despite its (presumed) simple nature, leak (or apparent leak) is not fully understood.\n", + "Indeed, separating leak from endogeneous or otherwise unexpected currents present in the cell of interest is non-trivial, and we offer no solution in this notebook." + ] + }, + { + "cell_type": "markdown", + "id": "968d5bf2", + "metadata": {}, + "source": [ + "## An ODE model of uncompensated patch-clamp" + ] + }, + { + "cell_type": "markdown", + "id": "65c7e3a7", + "metadata": {}, + "source": [ + "We are now in a position to formulate an ODE model of the _uncompensated_ patch-clamp set-up.\n", + "In the next notebook we will extend this model with compensation terms for the effects of $E_\\text{off}$, $C_p$, $C_m$, and $R_s$." + ] + }, + { + "cell_type": "markdown", + "id": "81eed969", + "metadata": {}, + "source": [ + "\n", + "\n", + "_**Figure 8 again**: A model of uncompensated whole-cell voltage-clamp._" + ] + }, + { + "cell_type": "markdown", + "id": "843ddc45", + "metadata": {}, + "source": [ + "We can use the sum of currents at the $V_m$ node to write a differential equation:\n", + "\n", + "\\begin{align}\n", + "1.1. && C_m\\dot{V}_m = \\frac{V_p + E_\\text{off} - V_m}{R_s} - \\frac{V_m - E_\\text{leak}}{R_\\text{leak}} - I\n", + "\\end{align}\n", + "\n", + "If we solve this as an [initial value problem](https://en.wikipedia.org/wiki/Initial_value_problem) (i.e. a simulation), then the only unknown variable is $V_p$.\n", + "To find an ODE for it, we inspect the sum of currents at the $V_p$ node:\n", + "\n", + "\\begin{align}\n", + "C_p\\dot{V}_p = \\frac{V_o - V_p}{R_f} + C_f(\\dot{V}_o - \\dot{V}_p) - \\frac{V_p + E_\\text{off} - V_m}{R_s}\n", + "\\end{align}\n", + "so that\n", + "\\begin{align}\n", + "1.2. && (C_p+C_f)\\dot{V}_p = \\frac{V_o - V_p}{R_f} + C_f\\dot{V}_o - \\frac{V_p + E_\\text{off} - V_m}{R_s}\n", + "\\end{align}\n", + "\n", + "Now we need to know $V_o$ and $\\dot{V}_o$, for which we use the equation given by Sigworth:\n", + "\n", + "\\begin{align}\n", + "1.3. && \\dot{V}_o = \\frac{V_c - V_p}{\\tau_a}\n", + "\\end{align}\n", + "\n", + "And finally we write an equation for the observed current:\n", + "\n", + "\\begin{align}\n", + "1.4. && I_\\text{obs} = \\frac{V_o - V_c}{R_f}\n", + "\\end{align}\n", + "\n", + "This gives us a 3 state variable ODE model of the patch-clamp set-up without compensation.\n", + "\n", + "The model above differs subtly from the uncompensated model used in [Lei et al., 2020](https://doi.org/10.1098/rsta.2019.0348).\n", + "A comparison is provided in [Appendix B1](./appendix-B1-uncompensated-models.ipynb)." + ] + }, + { + "cell_type": "markdown", + "id": "2e508d25", + "metadata": {}, + "source": [ + "## Names & symbols\n", + "\n", + "A list of alternative names and symbols for the components above is given in [Appendix C1](./appendix-C1-symbols.ipynb).\n", + "\n", + "Notably $R_\\text{leak}$ is often called _seal resistance_, while $R_s$ is also referred to as _access resistance_." + ] + }, + { + "cell_type": "markdown", + "id": "1cd6501b", + "metadata": {}, + "source": [ + "## Simulations\n", + "\n", + "We can use Myokit to run simulations with the uncompensated patch-clamp model.\n", + "\n", + "We will set the current of interest, $I$, to 0, so that everything you see in the simulations is expirimental \"artefact\".\n", + "Instead of applying a voltage protocol, we will implement a single voltage step through the initial conditions:\n", + "\n", + "1. The command voltage is set to a fixed value Vc = -20\n", + "2. The initial membrane potential is set to Vm = -80\n", + "3. We leave out $E_\\text{off}$ and $I_\\text{leak}$, and set $I = 0$ (for now), leaving only the capacitative currents. As a result, at steady state we have $V_p = V_o = V_m$.\n", + "\n", + "The parameters used here are representitative of a small-cell experiment, and are given in [appendix C2](./appendix-C2-parameter-defaults.ipynb)." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "96a46ec1", + "metadata": {}, + "outputs": [], + "source": [ + "import myokit\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "b5280790", + "metadata": {}, + "outputs": [], + "source": [ + "m = myokit.parse_model('''\n", + "[[model]]\n", + "amp.Vm = 0\n", + "amp.Vp = 0\n", + "amp.Vo = 0\n", + "\n", + "[engine]\n", + "time = 0 [ms] in [ms] bind time\n", + "pace = 0 bind pace\n", + "\n", + "[amp]\n", + "I = 0 [pA] in [pA]\n", + "Rs = 15e-3 [GOhm] in [GOhm]\n", + "Cm = 25 [pF] in [pF]\n", + "Cp = 5 [pF] in [pF]\n", + "Rf = 0.5 [GOhm] in [GOhm]\n", + "Cf = 0.15 [pF] in [pF]\n", + "tau_amp = 20e-6 [ms] in [ms]\n", + "Vc = engine.pace * 1 [mV]\n", + " in [mV]\n", + "dot(Vm) = (Vp - Vm) / (Rs * Cm) - I / Cm\n", + " in [mV]\n", + "dot(Vp) = ((Vo - Vp) / Rf + Cf * dot(Vo) - (Vp - Vm) / Rs) / (Cf + Cp)\n", + " in [mV]\n", + "dot(Vo) = (Vc - Vp) / tau_amp\n", + " in [mV]\n", + "I_obs = (Vo - Vc) / Rf\n", + " in [pA]\n", + "''')\n", + "m.check_units(myokit.UNIT_STRICT)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "e35469f6", + "metadata": {}, + "outputs": [], + "source": [ + "p = myokit.Protocol()\n", + "p.add_step(level=0, duration=5)\n", + "p.add_step(level=10, duration=10)\n", + "p.add_step(level=0, duration=20)\n", + "\n", + "s = myokit.Simulation(m, p)\n", + "s.pre(4)\n", + "d = s.run(20)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "5633933b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(15, 10))\n", + "\n", + "ax = fig.add_subplot(2, 2, 1)\n", + "ax.set_ylabel('Vm (mV)')\n", + "kw = dict(color='#aaa', ls='--')\n", + "ax.axhline(0, **kw)\n", + "ax.axhline(10, **kw)\n", + "ax.plot(d.time(), d['amp.Vm'])\n", + "\n", + "ax = fig.add_subplot(2, 2, 2)\n", + "ax.set_xlabel('Time (ms)')\n", + "ax.set_ylabel('Vp (mV)')\n", + "ax.plot(d.time(), d['amp.Vp'])\n", + "ins = ax.inset_axes((0.38, 0.15, 0.3, 0.6))\n", + "ins.plot(d.time(), d['amp.Vp'])\n", + "ins.set_xlim(4.995, 5.005)\n", + "\n", + "ax = fig.add_subplot(2, 2, 3)\n", + "ax.set_ylabel('Vo (mV)')\n", + "ax.plot(d.time(), d['amp.Vo'])\n", + "\n", + "ax = fig.add_subplot(2, 2, 4)\n", + "ax.set_xlabel('Time (ms)')\n", + "ax.set_ylabel('Recorded I (pA)')\n", + "ax.plot(d.time(), d['amp.I_obs'])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "f73c0749", + "metadata": {}, + "source": [ + "Top-left, we can see $V_m$ approach the desired voltage quite slowly, due to the large time constant $R_sC_m$.\n", + "Top-right, we see that the voltage $V_p$ approaches the target value much faster.\n", + "Bottom-left, the slow charging process is visible in $V_o$ and, with these parameters, obscures the effect of $C_p$.\n", + "Finally, bottom-right we see the recorded current, dominated by the large \"slow capacitance\" artefacts.\n", + "\n", + "We can also see a strange \"ramp\" in $I_\\text{obs}$ just before the voltage change.\n", + "This is a plotting artefact, and can be dealt with in different ways:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "027f5a00", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Solution one: plotting without interpolation, but with \"holding\" the last value\n", + "# until the next one in the time series\n", + "\n", + "fig = plt.figure(figsize=(10, 5))\n", + "ax = fig.add_subplot()\n", + "ax.set_xlabel('Time (ms)')\n", + "ax.set_ylabel('Recorded I (pA)')\n", + "ax.plot(d.time(), d['amp.I_obs'], ds='steps-post')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "8ad55324", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Solution two: forcing the simulator to log a time point just before the discontinuities\n", + "\n", + "s = myokit.Simulation(m, p)\n", + "s.pre(4)\n", + "d = s.run(4.9999)\n", + "d = s.run(10, log=d)\n", + "d = s.run(5.0001, log=d)\n", + "\n", + "fig = plt.figure(figsize=(10, 5))\n", + "ax = fig.add_subplot()\n", + "ax.set_xlabel('Time (ms)')\n", + "ax.set_ylabel('Recorded I (pA)')\n", + "ax.plot(d.time(), d['amp.I_obs'])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "8a8fa01d", + "metadata": {}, + "source": [ + "Next, we'll look at the membrane potential in the presence of a constant ionic current." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "c7b64a93", + "metadata": {}, + "outputs": [], + "source": [ + "s.reset()\n", + "s.set_constant('amp.I', 100)\n", + "s.pre(4)\n", + "d = s.run(4.9999)\n", + "d = s.run(10, log=d)\n", + "d = s.run(5.0001, log=d)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "99d5da47", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(8, 4))\n", + "\n", + "ax = fig.add_subplot()\n", + "ax.set_xlabel('Time (ms)')\n", + "ax.set_ylabel('Vm (mV)')\n", + "kw = dict(color='#aaa', ls='--')\n", + "ax.axhline(0, **kw)\n", + "ax.axhline(10, **kw)\n", + "ax.plot(d.time(), d['amp.Vm'])\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "804d114e", + "metadata": {}, + "source": [ + "Here we can see that $V_m$ doesn't quite reach $V_c$, due to the voltage drop over the series resistance $R_s$.\n", + "\n", + "But it also doesn't start off at $V_c$, which is perhaps a bit unrealistic.\n", + "Because we modelled the current as constant, it causes a voltage drop over $R_s$ _regardless of the membrane potential_.\n", + "We can replace this by a more likely situation, where there is a current proportional to $V_m$:" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "27b10047", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "m.get('amp.I').set_rhs('Vm * 10 [pA/mV]')\n", + "s = myokit.Simulation(m, p)\n", + "s.pre(4)\n", + "d = s.run(4.9999)\n", + "d = s.run(10, log=d)\n", + "d = s.run(5.0001, log=d)\n", + "\n", + "fig = plt.figure(figsize=(8, 4))\n", + "ax = fig.add_subplot()\n", + "ax.set_xlabel('Time (ms)')\n", + "ax.set_ylabel('Vm (mV)')\n", + "kw = dict(color='#aaa', ls='--')\n", + "ax.axhline(0, **kw)\n", + "ax.axhline(10, **kw)\n", + "ax.plot(d.time(), d['amp.Vm'])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "a2b5477e-528f-487d-b3bb-392ec513cd33", + "metadata": {}, + "source": [ + "## Final equations\n", + "\n", + "\\begin{align}\n", + "1.1. && C_m\\dot{V}_m = \\frac{V_p + E_\\text{off} - V_m}{R_s} - \\frac{V_m - E_\\text{leak}}{R_\\text{leak}} - I\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "1.2. && (C_p+C_f)\\dot{V}_p = \\frac{V_o - V_p}{R_f} + C_f\\dot{V}_o - \\frac{V_p + E_\\text{off} - V_m}{R_s}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "1.3. && \\dot{V}_o = \\frac{V_c - V_p}{\\tau_a}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "1.4. && I_\\text{obs} = \\frac{V_o - V_c}{R_f}\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "e3528d0b", + "metadata": {}, + "source": [ + "## Conclusion\n", + "\n", + "We have presented a step-by-step derivation of an electrical schematic that can be used as a model of the distortions incurred during whole-cell planar or manual patch-clamp experiments.\n", + "The schematic contains mostly passive components (resistors, capacitors, batteries) as well as two active components (an op-amp and a difference amplifier) and a mystery component (the non-capacitative currents through the cell membrane).\n", + "A simple 3-ODE model can be derived from the schematic, similar to the one presented in [Lei et al., 2020](https://doi.org/10.1098/rsta.2019.0348).\n", + "\n", + "In the [next notebook](./artefacts-2-compensation.ipynb) we will add in equations representing the various types of _compensation_ electronics typically found on patch-clamp amplifiers, including fast and slow capacitative transient cancellation and series resistance compensation." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.2" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/artefacts/artefacts-2-compensation.ipynb b/artefacts/artefacts-2-compensation.ipynb new file mode 100644 index 0000000..6cbfa72 --- /dev/null +++ b/artefacts/artefacts-2-compensation.ipynb @@ -0,0 +1,710 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "cf0eda98", + "metadata": {}, + "source": [ + "# Modelling patch-clamp experiments: electronic compensation\n", + "\n", + "In the [last notebook](./artefacts-1-modelling-patch-clamp.ipynb), we introduced an electrical schematic that can serve as a model of the patch-clamp set up, with distortions by leak, offsets, and unwanted capacitances.\n", + "To compensate for these unwanted effects, patch-clamp amplifiers contain special circuitry.\n", + "In this notebook we extend our model to include the effects of these compensations, as modelled in [Lei et al., 2020](https://doi.org/10.1098/rsta.2019.0348).\n", + "\n", + "We will deal mostly with _transient_ distortions of the recorded output signal, which we call _artefacts_, and with transient differences between the true and intended membrane potential, which are an example of _imperfect control_.\n", + "These terms, and general strategies for dealing with their effects, are discussed in [Appendix D1](./appendix-D1-strategies.ipynb).\n", + "Stochastic and periodic noise are not discussed here, but a brief discussion is given in [Appendix D2](./appendix-D2-inspecting-noise.ipynb)." + ] + }, + { + "cell_type": "markdown", + "id": "f2b59884", + "metadata": {}, + "source": [ + "## Zeroing and the liquid junction potential ($E_\\text{off}$)\n", + "\n", + "In the last notebook we introduced $E_\\text{off}$, which represents the sum of various voltage offsets that are incurred in the experimental setup.\n", + "This offset is usually corrected by a dial or a digital control that allows the experimenter to subtract an equal offset $-E_\\text{off}^*$.\n", + "To allow for the idea that this correction is imperfect, either because it was set imperfectly or because $E_\\text{off}$ drifted over time, we now introduce a symbol for the error in the offset correction $E_\\text{off}^\\dagger$ as\n", + "\\begin{equation}\n", + "E_\\text{off}^\\dagger = E_\\text{off} - E_\\text{off}^*\n", + "\\end{equation}\n", + "\n", + "In the schematic, we will simply replace $E_\\text{off}$ with the remaining error." + ] + }, + { + "cell_type": "markdown", + "id": "29f58378", + "metadata": {}, + "source": [ + "\n", + "\n", + "_**Figure 1**: The voltage offset has been corrected until only a small error_ $E_\\text{off}^\\dagger$ _remains._" + ] + }, + { + "cell_type": "markdown", + "id": "5dcfaa36", + "metadata": {}, + "source": [ + "### The liquid junction potential\n", + "\n", + "A liquid junction potential (LJP) arises wherever two liquids containing different concentrations of ions are in contact.\n", + "In manual patch clamp this is the case just before the experiment, when the pipette is in the bath but not yet attached to the cell.\n", + "The correction $E_\\text{off}*$ is usually determined just before the final approach to the cell, and so includes this LJP.\n", + "Once a connection to the cell is made, the pipette fluid is in contact with the cytosol and because both fluids are similar an LJP no longer exists.\n", + "In other words, the LJP is removed from $E_\\text{off}$, but not from $E_\\text{off}^*$.\n", + "\n", + "The correction for this overcorrection is called LJP correction, and proceeds as follows:\n", + "\n", + "1. The LJP is calculated by entering the bath and pipette solutions into an LJP calculating program.\n", + "2. We can then adjust all $V_\\text{cmd}$ values to obtain the desired $V_m$ (*a priori* correction) or simply accept that $V_m$ is shifted from the desired value and account for this in our analysis (*a posteriori* correction). \n", + "\n", + "Some systems allow the LJP to be entered into the recording software, so that *a priori* correction can be performed without further user input.\n", + "\n", + "A detailed description of the correction procedure is provided in [Appendix D3](./appendix-D3-liquid-junction-potential.ipynb).\n", + "In short, if you have to do manual *a posteriori* correction then you **subtract** the LJP from the applied or measured voltage to get the true value." + ] + }, + { + "cell_type": "markdown", + "id": "431eb7a8", + "metadata": {}, + "source": [ + "### We won't explicitly treat the LJP\n", + "\n", + "In the remainder of this notebook we will assume LJP correction has been performed by adjusting $V_\\text{cmd}$.\n", + "We will treat $E_\\text{off}^\\dagger$ as a small number that does not include the LJP." + ] + }, + { + "cell_type": "markdown", + "id": "e35c1d2b", + "metadata": {}, + "source": [ + "## Fast capacitance correction ($C_p$)\n", + "\n", + "The next compensation circuitry we include attempts to charge the capacitor $C_p$ without affecting the current through the cell.\n", + "To do this, a prediction of the current flowing into $C_p$ is made, and \"injected\" into the circuitry." + ] + }, + { + "cell_type": "markdown", + "id": "4d3f0a50", + "metadata": {}, + "source": [ + "\n", + "\n", + "_**Figure 2**: Fast capacitance correction aims to charge_ $C_p$ _without affecting the current through the cell._" + ] + }, + { + "cell_type": "markdown", + "id": "2df49283", + "metadata": {}, + "source": [ + "In the diagram above, we have drawn an active component that somehow generates the current $I_\\text{inj}$, but does not draw any current from the node at $V_c$.\n", + "As an equation for $I_\\text{inj}$ we'll use\n", + "\n", + "\\begin{equation}\n", + "I_\\text{inj} = C_p^* \\dot{V}_c\n", + "\\end{equation}\n", + "\n", + "where $C_p^*$ is the _estimated_ parasitic capacitance.\n", + "(In a real implementation a fixed $C$ is used, but an amplifier with a variable gain $A$ is attached, so that $A \\cdot C_\\text{fixed}$ can be made to match $C_p$.)\n", + "\n", + "Note that the above equation is problematic for voltage step protocols, in which $\\dot{V}_c$ is either $0$ or $\\pm\\infty$.\n", + "This is less of a problem in practice, as stray capacitances and other factors will conspire to \"round\" $V_\\text{cmd}$ a little and make $\\dot{V}_\\text{cmd}$ finite.\n", + "However, it does still make matching $C_p$ and $C_p^*$ very difficult in practice, and [Sigworth 1995a](https://doi.org/10.1007/978-1-4419-1229-9_4) proposes a schematic in which\n", + "\n", + "1. $V_\\text{cmd}$ is passed through a 10 $\\mu$s low-pass filter.\n", + "2. A split is made, and the branch connected to the op amp is filtered with a further 0.5 $\\mu$s.\n", + "3. The branch used to create $I_\\text{inj}$ is filtered with a variable time constant between 0 and 1 $\\mu$s, which is manually calibrated to obtain a good step response.\n", + "\n", + "This means that, even with _perfect_ capacitance correction, we should still expect a rounding off of any voltage step protocols!" + ] + }, + { + "cell_type": "markdown", + "id": "bb019558", + "metadata": {}, + "source": [ + "In this notebook we will assume the rounding is well modelled by other capacitances in the system, and proceed with the equation given above." + ] + }, + { + "cell_type": "markdown", + "id": "f2685571", + "metadata": {}, + "source": [ + "## Slow capacitance correction ($C_m$)\n", + "\n", + "Next, we add a similar correction term for the much larger capacitance $C_m$.\n", + "As with $C_p$ correction, there are practical considerations that complicate real-world implementations ([Sigworth 1995a](https://doi.org/10.1007/978-1-4419-1229-9_4)) but for now we'll simply add another term based on the estimated membrane capacitance $C_m^*$:\n", + "\n", + "\\begin{equation}\n", + "I_\\text{inj} = C_p^* \\dot{V}_c + C_m^* \\dot{V}_c\n", + "\\end{equation}" + ] + }, + { + "cell_type": "markdown", + "id": "960ecfe7", + "metadata": {}, + "source": [ + "## What if we don't correct?\n", + "\n", + "Since we're going to be modelling both physical effects (e.g. fast and slow capacitative transients) and their (imperfect) corrections, it makes sense to ask why we're correcting at all.\n", + "Surely it would be simpler to switch off the corrections and model only the physical effects?\n", + "\n", + "Unfortunately there are two practical difficulties with this approach (see also [Sigworth 1995a](https://doi.org/10.1007/978-1-4419-1229-9_4)).\n", + "Firstly, the large charging currents can exceed the limits of the A/D converter used to digitise the output voltage.\n", + "For the samples during which this _clipping_ occurs, we record only the maximum (or minimum) value, so information about the current is lost (making fitting harder).\n", + "Amplifiers in the A/D converter may also go into _saturation_, which prolongs the clipping until the amplifiers have recovered.\n", + "\n", + "Secondly, large transient currents can cause the op amp in the feedback circuit to saturate, leading to a loss of control over the membrane voltage until the amplifier has recovered.\n" + ] + }, + { + "cell_type": "markdown", + "id": "3a492bbb", + "metadata": {}, + "source": [ + "## Series resistance compensation ($R_s$)\n", + "\n", + "The _series resistance_ causes two issues for controlling the membrane potential:\n", + "\n", + "1. It causes a voltage drop, so that $V_m$ is not quite equal to the intended voltage $V_p$.\n", + "2. It causes the membrane voltage to lag behind the desired voltage, with a time constant $R_sC_m$.\n", + "\n", + "To compensate for these effects, we will increase the voltage clamp potential a little bit above the desired command potential $V_c$.\n", + "Two separate mechanisms are used.\n", + "A feed-forward _correction_ mechanism based on the observed current corrects for the voltage drop,\n", + "while a _prediction_ (or \"supercharging\") mechanism based on the estimated membrane potential speeds up the charging process." + ] + }, + { + "cell_type": "markdown", + "id": "5787e7cf", + "metadata": {}, + "source": [ + "### \"Correction\" reduces the voltage drop\n", + "\n", + "\n", + "A common method to compensate for the voltage drop, is to _feed a fraction of_ $V_\\text{out}$ _forward into_ $V_c$ ([Hodgkin et al. 1952](https://physoc.onlinelibrary.wiley.com/doi/10.1113/jphysiol.1952.sp004716)).\n", + "In the schematic, we'll show this with two new components: an active component labelled _R_ that generates the voltage to be added, and a _summing amplifier_, labelled $\\Sigma$:" + ] + }, + { + "cell_type": "markdown", + "id": "d8e68433", + "metadata": {}, + "source": [ + "\n", + "\n", + "_**Figure 3**: Series resistance correction feeds a fraction of_ $V_\\text{out}$ _into_ $V_\\text{ref}$ _via a summing amplifier._" + ] + }, + { + "cell_type": "markdown", + "id": "204a0287", + "metadata": {}, + "source": [ + "In this new set-up\n", + "\n", + "\\begin{align}\n", + "V_\\text{out} = V_o - V_\\text{ref}\n", + "\\end{align}\n", + "\n", + "And so the extra voltage added by the series resistance compensation will be zero when $V_o = V_\\text{ref}$.\n", + "\n", + "To analyse the effect of feed-forward on the voltage drop over $R_s$, we use the simplified schematic shown below." + ] + }, + { + "cell_type": "markdown", + "id": "05b12cd2", + "metadata": {}, + "source": [ + "\n", + "\n", + "_**Figure 4**: A simplified schematic for_ $R_s$ _correction._" + ] + }, + { + "cell_type": "markdown", + "id": "d96513ab", + "metadata": {}, + "source": [ + "Using $x$ for the fraction of $V_\\text{out}$ fed into $V_\\text{ref}$ we find\n", + "\n", + "\\begin{align}\n", + "V_\\text{ref} = V_c + x V_\\text{out} = V_c + x R_f I_\\text{obs}\n", + "\\end{align}\n", + "for\n", + "\\begin{align}\n", + "V_m &= V_p - R_s I \\\\\n", + " &\\approx V_\\text{ref} - R_s I \\\\\n", + " &= V_c + x R_f I_\\text{obs} - R_s I \\\\\n", + " &\\approx V_c + (x R_f - R_s) I\n", + "\\end{align}\n", + "\n", + "where we assume first a perfect op amp ($V_p = V_\\text{ref}$) and then a perfect measurement ($I = I_\\text{obs}$).\n", + "The error in the voltage is given by\n", + "$V_m - V_c \\approx (x R_f - R_s) I$\n", + "so if we can choose $x R_f = R_s$ we can compensate for the voltage drop over $R_s$ entirely.\n", + "\n", + "In our model, we will assume that the feed-forward rate is set based on an estimate of the series resistance $R_s^*$:\n", + "\n", + "\\begin{align}\n", + "V_\\text{ref} = V_c + R_s^* I_\\text{obs}\n", + "\\end{align}\n", + "\n", + "In practice, the various delays and imperfections in the system can easily create a situation where the feed-forward causes oscillations or \"ringing\" in the system.\n", + "To alleviate this, we only compensate a fraction $\\alpha$ of the estimated resistance:\n", + "\n", + "\\begin{align}\n", + "V_\\text{ref} = V_c + \\alpha R_s^* I_\\text{obs}\n", + "\\end{align}\n", + "\n", + "where $\\alpha$ is usually limited to about 70 or 80% ([Sigworth 1995a](https://doi.org/10.1007/978-1-4419-1229-9_4))." + ] + }, + { + "cell_type": "markdown", + "id": "2a8cd7d8", + "metadata": {}, + "source": [ + "### \"Prediction\" speeds up the charging process\n", + "\n", + "Above, we used $C_m$ correction to subtract the charging current $C_m\\dot{V}_m$ from $I_\\text{obs}$.\n", + "As an unintended consequence, the charging current is not accounted for in the correction term $\\alpha R_s^* I_\\text{obs}$.\n", + "Instead, we will address membrane charging seperately, by\n", + "\n", + "1. Making a _prediction_ of $V_m$, as affected by $R_sC_m$\n", + "2. Speed up the charging process by temporarily applying an exaggerated voltage.\n", + "\n", + "For the estimated membrane potential, we will write\n", + "\\begin{align}\n", + "\\dot{V}_\\text{est} &= \\frac{V_c - V_\\text{est}}{(1 - \\beta)R_s^*C_m^*} \n", + "\\end{align}\n", + "\n", + "where $\\beta$ is the fraction of $R_s$ we will compensate, leading to a remaining series resistance $(1 - \\beta)R_s$ for an estimated time constant of $(1 - \\beta)R_s^*C_m^*$.\n", + "Next, we update the reference voltage by adding a term $\\beta R_s^*C_m^* \\dot{V}_\\text{est}$:\n", + "\n", + "\\begin{align}\n", + "V_\\text{ref} = V_c + \\alpha R_s^* I_\\text{obs} + \\beta R_s^* C_m^* \\dot{V}_\\text{est}\n", + "\\end{align}\n", + "\n", + "A schematic including both types of $R_s$ compensation is shown below:" + ] + }, + { + "cell_type": "markdown", + "id": "a9868f70", + "metadata": {}, + "source": [ + "\n", + "\n", + "_**Figure 5**: A simplified schematic for_ $R_s$ _prediction (left) and correction (right)._" + ] + }, + { + "cell_type": "markdown", + "id": "50caa469", + "metadata": {}, + "source": [ + "If only a single control $\\alpha = \\beta$ is provided for both prediction and correction, we can write\n", + "\n", + "\\begin{align}\n", + "V_\\text{ref} = V_c + \\alpha R_s^* \\left( I_\\text{obs} + C_m^* \\dot{V}_\\text{est} \\right)\n", + "\\end{align}\n", + "\n", + "The addition of the predicted charging current causes a significant \"overshoot\" in $V_\\text{ref}$, which has been likened to the _supercharging_ method of [Armstrong & Chow (1987)](https://doi.org/10.1016/S0006-3495(87)83198-3).\n", + "\n", + "A derivation of the prediction equations from the schematics by Sigworth is given in [appendix B3](./appendix-B3-sigworth-rs.ipynb)." + ] + }, + { + "cell_type": "markdown", + "id": "fc428a62", + "metadata": {}, + "source": [ + "### Incorporating a \"lag\"\n", + "\n", + "Finally, patch-clamp amplifiers typically implement a 1st order filtering or \"lag\" on the series resistance compensation, characterised by a user-defined time constant $\\tau_\\text{sum}$.\n", + "We implement this as:\n", + "\n", + "\\begin{align}\n", + "\\dot{V}_\\text{ref} = \\frac{V_c + \\alpha R_s^* I_\\text{obs} + \\beta R_s^* C_m^* \\dot{V}_\\text{est} - V_\\text{ref}}{\\tau_\\text{sum}}\n", + "\\end{align}\n", + "\n", + "where typical values for $\\tau_\\text{sum}$ are $2\\mu s$ (fast), $10\\mu s$ (average), or $100\\mu s$ (slow, see [Appendix C3](./appendix-C3-parameter-values.ipynb))." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "3f4a712d-9dd5-48d9-96c7-f85ad55bf365", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "f67c7146-8f3f-42bc-b329-138f53fe4342", + "metadata": {}, + "source": [ + "\\begin{align}\n", + "V_\\text{ref} = V_c + \\alpha R_s^* I_\\text{obs} + \\beta R_s^* C_m^* \\dot{V}_\\text{est}\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "9e06a285-6e73-4b2f-820e-e6e07088e9df", + "metadata": {}, + "source": [ + "\\begin{align}\n", + "V_\\text{ref} = V_c + V_s + \\beta R_s^* C_m^* \\dot{V}_\\text{est}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "\\tau_s \\dot{V_s} = \\alpha R_s^* I_\\text{obs} - V_s\n", + "\\end{align}" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "31c5c489-1d08-41bd-af28-cf8843a1df6d", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "934470f3", + "metadata": {}, + "source": [ + "### An updated slow capacitance correction\n", + "\n", + "Having introduced $V_\\text{est}$ and a series resistance compensation based on $C_m^*\\dot{V}_\\text{est}$, we can now follow [Sigworth 1995a](https://doi.org/10.1007/978-1-4419-1229-9_4) and use this term in our slow capacitance correction. This means splitting up the \"injection\" pathways for fast and slow capacitance, leading to the schematic below.\n" + ] + }, + { + "cell_type": "markdown", + "id": "d888d313", + "metadata": {}, + "source": [ + "\n", + "\n", + "_**Figure 6**: A model with series resistance correction and prediction, and with fast and slow capacitative transient cancellation._" + ] + }, + { + "cell_type": "markdown", + "id": "803954c5", + "metadata": {}, + "source": [ + "Correspondingly, we split $I_\\text{inj}$ up into two currents $I_\\text{FC}$ and $I_\\text{SC}$, where\n", + "\n", + "\\begin{align}\n", + "I_\\text{SC} = C_m^* \\dot{V}_\\text{est} && \\text{Slow capacitance correction}\n", + "\\end{align}\n", + "\n", + "We can use $V_\\text{est}$ even when series resistance prediction is disabled: setting $\\beta = 0$ turns $V_\\text{est}$ into an estimate of the uncompensated membrane potential.\n", + "\n", + "\\begin{align}\n", + "\\dot{V}_\\text{est}(\\beta = 0) &= \\frac{V_c - V_\\text{est}}{R_s^*C_m^*} \n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "f0e20b1a", + "metadata": {}, + "source": [ + "### An updated fast capacitance correction\n", + "\n", + "In our schematic, we have placed $R_s$ after $C_p$, to reflect the fact that the fast capacitative current pathway \"has negligible series resistance\" ([Sigworth 1995a](https://doi.org/10.1007/978-1-4419-1229-9_4), section 5.2).\n", + "As a result, we don't need to take $C_p$ into account for the model of series resistance compensation.\n", + "(However, a good $C_p$ correction is essential for stable $R_s$ compensation in practice!)\n", + "\n", + "However, we _will_ update the model slightly to use $V_\\text{ref}$, which purposefully lags behind $V_c$ (and \"rounds\" it) as the basis for our fast capacitance cancellation:\n", + "\n", + "\\begin{align}\n", + "I_\\text{FC} = C_p^* \\dot{V}_\\text{ref} && \\text{Fast capacitance correction}\n", + "\\end{align}\n", + "\n", + "In practice, many patch clamp amplifiers use a seperate \"lag\" time constant for $I_\\text{FC}$.\n", + "Some even allow two \"fast\" components, each with their own $C$ and $\\tau$.\n", + "The published information doesn't make it quite clear whether these lags are added onto $V_\\text{ref}$ or onto $V_c$.\n", + "Here, we will simplify by modelling $I_\\text{FC}$ as a single component correction based on $V_\\text{ref}$." + ] + }, + { + "cell_type": "markdown", + "id": "095a0512", + "metadata": {}, + "source": [ + "## The final model" + ] + }, + { + "cell_type": "markdown", + "id": "7ae20d53", + "metadata": {}, + "source": [ + "The final model schematic is shown in Figure 5." + ] + }, + { + "cell_type": "markdown", + "id": "f43319ae", + "metadata": {}, + "source": [ + "\n", + "\n", + "_**Figure 6 again**: The full model with compensation._" + ] + }, + { + "cell_type": "markdown", + "id": "26ad6d1b", + "metadata": {}, + "source": [ + "\\begin{align}\n", + "2.1. && C_m\\dot{V}_m = \\frac{V_p + E_\\text{off}^\\dagger - V_m}{R_s} - \\frac{V_m - E_\\text{leak}}{R_\\text{leak}} - I\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "2.2. && (C_p+C_f)\\dot{V}_p = \\frac{V_o - V_p}{R_f} - \\frac{V_p + E_\\text{off}^\\dagger - V_m}{R_s} + C_f\\dot{V}_o + C_m^* \\dot{V}_\\text{est} + C_p^* \\dot{V}_\\text{ref}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "2.3. && \\tau_a \\dot{V}_o = V_\\text{ref} - V_p\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "2.4. && \\dot{V}_\\text{est} &= \\frac{V_c - V_\\text{est}}{(1 - \\beta)R_s^*C_m^*} \n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "2.5. && \\tau_\\text{sum}\\dot{V}_\\text{ref} = V_c + \\alpha R_s^* I_\\text{obs} + \\beta R_s^* C_m^* \\dot{V}_\\text{est} - V_\\text{ref}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "2.6. && R_f I_\\text{obs} = V_o - V_\\text{ref}\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "cb286752", + "metadata": {}, + "source": [ + "## Variations\n", + "\n", + "As with the uncompensated model, we can create model variations by choosing slightly different equations to model the main op-amp.\n", + "These are discussed in [Appendix B2](./appendix-B2-compensated-models.ipynb)" + ] + }, + { + "cell_type": "markdown", + "id": "3e18bb3d", + "metadata": {}, + "source": [ + "## Simulations\n", + "\n", + "As before, we can code this up in Myokit and simulate a voltage step.\n", + "\n", + "To allow switching off compensation, we will add a lower bound for the denominator of $\\dot{V}_\\text{est}$:\n", + "\n", + "\\begin{align}\n", + "\\dot{V}_\\text{est} = \\frac{V_c - V_\\text{est}}{\\tau_\\text{est}} &&\n", + "\\tau_\\text{est} = \\max \\left\\{ (1 - \\beta)R_s^*C_m^* , 10^{-8} \\text{ms} \\right\\}\n", + "\\end{align}" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "5ada4776-e480-4aea-a67b-5a138ff8b699", + "metadata": {}, + "outputs": [], + "source": [ + "import myokit\n", + "import numpy as np\n", + "import matplotlib\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "7d682716", + "metadata": {}, + "outputs": [], + "source": [ + "m = myokit.parse_model('''\n", + "[[model]]\n", + "amp.Vm = -80\n", + "amp.Vp = -80\n", + "amp.Vo = -80\n", + "amp.Ve = -80\n", + "amp.Vr = -80\n", + "\n", + "[engine]\n", + "time = 0 [ms] in [ms] bind time\n", + "pace = 0 bind pace\n", + "\n", + "[amp]\n", + "alpha = 0.7\n", + "beta = 0.7\n", + "Rs = 15e-3 [GOhm] in [GOhm]\n", + "Rs_est = 15e-3 [GOhm] in [GOhm]\n", + "Cm = 25 [pF] in [pF]\n", + "Cm_est = 25 [pF] in [pF]\n", + "Cp = 5 [pF] in [pF]\n", + "Cp_est = 5 [pF] in [pF]\n", + "Rf = 0.5 [GOhm] in [GOhm]\n", + "Cf = 0.15 [pF] in [pF]\n", + "tau_amp = 20e-6 [ms] in [ms]\n", + "tau_sum = 10e-3 [ms] in [ms]\n", + "tau_est = if(val < 1e-8 [ms], 1e-8 [ms], val)\n", + " in [ms]\n", + " val = (1 - beta) * Rs_est * Cm_est\n", + " in [ms]\n", + "I = 10 [nS] * Vm\n", + " in [pA]\n", + "Vc = engine.pace * 1 [mV]\n", + " in [mV]\n", + "dot(Vm) = (Vp - Vm) / (Rs * Cm) - I / Cm\n", + " in [mV]\n", + "dot(Vp) = ((Vo - Vp) / Rf - (Vp - Vm) / Rs +\n", + " Cf * dot(Vo) + Cm_est * dot(Ve) + Cp_est * dot(Vr)\n", + " ) / (Cp + Cf)\n", + " in [mV]\n", + "dot(Vo) = (Vr - Vp) / tau_amp\n", + " in [mV]\n", + "dot(Ve) = (Vc - Ve) / tau_est\n", + " in [mV]\n", + "dot(Vr) = (Vc + alpha * Rs_est * I_obs + beta * Rs_est * Cm_est * dot(Ve) - Vr) / tau_sum\n", + " in [mV]\n", + "I_obs = (Vo - Vr) / Rf\n", + " in [pA]\n", + "''')\n", + "m.check_units(myokit.UNIT_STRICT)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "169e0123", + "metadata": {}, + "outputs": [], + "source": [ + "p = myokit.Protocol()\n", + "p.add_step(level=0, duration=5)\n", + "p.add_step(level=10, duration=10)\n", + "p.add_step(level=0, duration=20)\n", + "\n", + "s = myokit.Simulation(m, p)\n", + "s.set_tolerance(1e-8, 1e-8)\n", + "s.pre(4)\n", + "dB = s.run(20)\n", + "\n", + "s.reset()\n", + "s.pre(4)\n", + "s.set_constant('amp.alpha', 0)\n", + "s.set_constant('amp.beta', 0)\n", + "s.set_constant('amp.Cm_est', 0)\n", + "s.set_constant('amp.Cp_est', 0)\n", + "dA = s.run(20)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "2e3eadba", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "kw = dict(color='#aaa', ls='--')\n", + "\n", + "fig = plt.figure(figsize=(15, 5))\n", + "\n", + "ax = fig.add_subplot(1, 2, 1)\n", + "ax.set_xlabel('Time (ms)')\n", + "ax.set_ylabel('Vm (mV)')\n", + "ax.axhline(0, **kw)\n", + "ax.axhline(10, **kw)\n", + "ax.plot(dA.time(), dA['amp.Vm'], label='No compensation')\n", + "ax.plot(dB.time(), dB['amp.Vm'], label='Compensation on')\n", + "ax.legend()\n", + "\n", + "ax = fig.add_subplot(1, 2, 2)\n", + "ax.set_xlabel('Time (ms)')\n", + "ax.set_ylabel('$I_{obs}$ (pA)')\n", + "ax.axhline(0, **kw)\n", + "ax.plot(dA.time(), dA['amp.I_obs'])\n", + "ax.plot(dB.time(), dB['amp.I_obs'])\n", + "ax.set_ylim(-3500, 3500)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "4e957331", + "metadata": {}, + "source": [ + "## Conclusion\n", + "\n", + "In this notebook we have introduced and modelled five types of compensation:\n", + "\n", + "1. Zeroing the voltage\n", + "2. Fast capacitative transient cancellation\n", + "3. Slow capacitative transient cancellation\n", + "4. Series resistance correction\n", + "5. Series resistance prediction\n", + "\n", + "In the next notebook we will discuss _filtering_ of the input and output signals." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.2" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/artefacts/artefacts-3-filtering.ipynb b/artefacts/artefacts-3-filtering.ipynb new file mode 100644 index 0000000..243d7e6 --- /dev/null +++ b/artefacts/artefacts-3-filtering.ipynb @@ -0,0 +1,1376 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "cf0eda98", + "metadata": {}, + "source": [ + "# Modelling patch-clamp experiments: filters\n", + "\n", + "In the [last notebook](./artefacts-2-compensation.ipynb) we updated our model of the patch-clamp amplifier with a variety of _compensation_ circuites.\n", + "In this notebook we look at the effects of filtering hardware included in patch-clamp amplifiers.\n", + "\n", + "Filtering is used in two ways:\n", + "- to remove high-frequency noise from the measured signals\n", + "- to \"round-off\" the voltage step commands and reduce capacitative spikes.\n", + "\n", + "Both types of filter are typically implemented in hardware (with further optional software filters applied offline).\n", + "Here we will follow [Sigworth 1995b](https://doi.org/10.1016/0165-0270(94)00128-4) and discuss a three-filter setup:\n", + "\n", + "- A filter on the input voltage steps, called the _stimulus filter_\n", + "- A filter on the output voltage, called _filter1_. The voltage used in series resistance compensation is passed through this filter.\n", + "- A second filter on the output, called _filter2_. This filter is only used to reduce noise in the final output.\n", + "\n", + "All three filters are [low-pass filters](https://en.wikipedia.org/wiki/Low-pass_filter), meaning they are designed to block high-frequency signals whil letting through low-frequency ones.\n", + "There are many different types of filter, but since both HEKA and Axon use [Bessel filters](https://en.wikipedia.org/wiki/Bessel_filter) we will focus on those.\n", + "Background on Bessel filters is provided in [Appendix A4](./appendix-A4-bessel-filters.ipynb), with background on filters in general and the mathematical \"Laplace transformation\" used in their design in [Appendix A2](./appendix-A2-laplace-and-filters.ipynb)." + ] + }, + { + "cell_type": "markdown", + "id": "93f72de7-4b28-4b4a-9877-52ce9ac1b4a6", + "metadata": {}, + "source": [ + "## Low-pass filter terminology\n", + "\n", + "Each filter is described by a _cut-off frequency_, an _order_, and a _type_.\n", + "For example, a typical choice for filter1 is a 10kHz (frequency) sixth-order (order) low-pass Bessel filter (type).\n", + "\n", + "Low-pass filters block very little at low frequencies but progressively more at higher frequencies.\n", + "The cut-off frequency is the frequency at which the amount of signal attenuation reaches a particular level: typically -3 dB.\n", + "\n", + "The order of a filter determines how sharply the level of attenuation increases as the frequency increases.\n", + "So a 6th-order filter reduces high frequencies much more aggressively than a first-order one.\n", + "In the mathematical description of filters, the number of [poles](https://en.wikipedia.org/wiki/Zeros_and_poles) in the equation describing a filter typically corresponds to its order, so e.g. a fourth-order filter is often referred to as a 4-pole filter.\n", + "\n", + "Finally, the exact relationship between frequency and level of attenuation is determined by the filter type.\n", + "Lots of options are available, but here we will focus only on Bessel filters." + ] + }, + { + "cell_type": "markdown", + "id": "6c55066d-4e53-4fe6-920a-9007defd7d19", + "metadata": {}, + "source": [ + "## Updated diagram\n", + "\n", + "Starting from the model with compensation presented in the notebook, we will add the three filters as in the EPC-9 diagram published in [Sigworth 1995b](https://doi.org/10.1016/0165-0270(94)00128-4)." + ] + }, + { + "cell_type": "markdown", + "id": "7ae20d53", + "metadata": {}, + "source": [ + "\n", + "\n", + "_**Figure 1**: The model with compensation but no filtering._" + ] + }, + { + "cell_type": "markdown", + "id": "ad022d44-301e-443e-b1fc-dd08ed844411", + "metadata": {}, + "source": [ + "We now make three additions:\n", + "\n", + "1. We add the _stimulus filter_ directly at the point where $V_c$ is fed in.\n", + "2. Filter1 is added after the differential amplifier, before the branch off the series resistance compensation.\n", + "3. Filter2 is added between filter1 and the final output." + ] + }, + { + "cell_type": "markdown", + "id": "f43319ae", + "metadata": {}, + "source": [ + "\n", + "\n", + "_**Figure 2**: Model with stimulus filter and two output filters._" + ] + }, + { + "cell_type": "markdown", + "id": "ce3f3093-760b-43d9-9118-4700508fe40b", + "metadata": {}, + "source": [ + "Two low-pass filters in series, like filter1 and filter2 in the diagram above, act as a single low-pass filter with a higher order." + ] + }, + { + "cell_type": "markdown", + "id": "26ad6d1b", + "metadata": {}, + "source": [ + "## Updated equations with filtering\n", + "\n", + "Adding equations for the filters is not trivial, and the exact equations depend strongly on the specific filters used.\n", + "As an illustrative example we can assume all filters are first-order ones, which have the simple ODE equation:\n", + "\\begin{align}\n", + "\\frac{dy}{dt} = \\frac{u(t) - y(t)}{\\tau}\n", + "\\end{align}\n", + "where $u$ is the input signal, $y$ is the filtered signal, and $\\tau$ is a time constant that is related to the cut-off frequency $f_c$ by\n", + "\\begin{align}\n", + "\\tau = \\frac{1}{2 \\pi f_c}\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "8e8185e0-ecc7-4158-8c67-507916abb9a8", + "metadata": {}, + "source": [ + "### First-order approximations\n", + "\n", + "Approximating all three filters as first-order filters:\n", + "\n", + "\\begin{align}\n", + "6.1. && C_m\\dot{V}_m = \\frac{V_p + E_\\text{off}^\\dagger - V_m}{R_s} - \\frac{V_m - E_\\text{leak}}{R_\\text{leak}} - I\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "6.2. && (C_p+C_f)\\dot{V}_p = \\frac{V_o - V_p}{R_f} - \\frac{V_p + E_\\text{off}^\\dagger - V_m}{R_s} + C_f\\dot{V}_o + C_m^* \\dot{V}_\\text{est} + C_p^* \\dot{V}_\\text{ref}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "6.3. && \\tau_a \\dot{V}_o = V_\\text{ref} - V_p\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "6.4. && \\dot{V}_\\text{est} &= \\frac{V_s - V_\\text{est}}{(1 - \\beta)R_s^*C_m^*} \n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "6.5. && \\tau_\\text{sum}\\dot{V}_\\text{ref} = V_s + \\alpha \\frac{R_s^*}{R_f}V_1 + \\beta R_s^* C_m^* \\dot{V}_\\text{est} - V_\\text{ref}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "6.6. && \\tau_\\text{fs} \\dot{V}_s = V_c - V_s\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "6.7. && \\tau_\\text{f1} \\dot{V}_1 = V_o - V_\\text{ref} - V_1\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "6.8. && \\tau_\\text{f2} R_f \\dot{I}_\\text{obs} = V_f - R_f I_\\text{obs}\n", + "\\end{align}\n" + ] + }, + { + "cell_type": "markdown", + "id": "8bb6fc52-d907-4f1a-a96c-93e2d09462d2", + "metadata": {}, + "source": [ + "### Bessel-filter ODEs\n", + "\n", + "To find ODEs describing Bessel filters, we use the following approach:\n", + "\n", + "1. Work out the ODEs describing a first-order and second-order Bessel filters, and then treat all higher order filters as series of 1st and/or 2nd order ones. For example, a 3d-order filter becomes a 2nd and 1st in series, while a 6th-order filter is written as a cascade of three 2nd order ones.\n", + "2. A second-order filter is described by a second-order ODE. To get a this into software like Myokit, we introduce an extra variable and write it as a system of two first order ODEs.\n", + "\n", + "The HEKA EPC-10 uses a 6-pole Bessel as filter1, an additional 4-pole Bessel as filter2 (for a combined 10-pole output filter), and a 2-pole Bessel filter over the command voltage.\n", + "We will provide ODEs for these filters without further explanation: readers are referred to [Appendix A5](./appendix-A5-bessel-filter-odes.ipynb) for their derivation and discussion. \n" + ] + }, + { + "cell_type": "markdown", + "id": "75d2a072-0c69-4b1b-94f0-47a7cf7911e5", + "metadata": {}, + "source": [ + "Second-order low-pass Bessel filter:\n", + "\n", + "\\begin{align}\n", + "\\dot{y_1} &= 3 \\left[ \\frac{u(t) - y_2(t)}{a^2} - \\frac{y_1(t)}{a} \\right] \\quad&\n", + "\\dot{y_2} &= y_1(t) \\\\\n", + "a &= \\frac{1.3616}{2 \\pi f_c}\n", + "\\end{align}\n", + "where $u(t)$ is the input signal and $y_2$ is the output.\n", + "\n", + "Fourth-order low-pass Bessel filter:\n", + "\\begin{align}\n", + "\\dot{y_1} &= \\frac{11.488}{a^2} \\left[u(t) - y_2(t)\\right] - \\frac{4.2076}{a} y_1(t) \\quad&\n", + "\\dot{y_2} &= y_1(t) \\\\\n", + "\\dot{y_3} &= \\frac{9.1401}{a^2} \\left[y_2(t) - y_4(t)\\right] - \\frac{5.7924}{a} y_3(t) \\quad&\n", + "\\dot{y_4} &= y_3(t) \\\\\n", + "a &= \\frac{2.114}{2 \\pi f_c}\n", + "\\end{align}\n", + "where $y_4$ is the output signal.\n", + "\n", + "Sixth-order low-pass Bessel filter:\n", + "\\begin{align}\n", + "\\dot{y1} &= \\frac{26.514}{a^2} \\left[u(t) - y_2(t)\\right] - \\frac{5.0319}{a} y_1(t) \\quad&\n", + "\\dot{y2} &= y_1(t) \\\\\n", + "\\dot{y3} &= \\frac{20.853}{a^2} \\left[y_2(t) - y_4(t)\\right] - \\frac{7.4714}{a} y_3(t) \\quad&\n", + "\\dot{y4} &= y_3(t) \\\\\n", + "\\dot{y5} &= \\frac{18.801}{a^2} \\left[y_4(t) - y_6(t)\\right] - \\frac{8.4967}{a} y_5(t) \\quad&\n", + "\\dot{y6} &= y_5(t) \\\\\n", + "a &= \\frac{2.7034}{2 \\pi f_c}\n", + "\\end{align}\n", + "where $y_6$ is the output signal." + ] + }, + { + "cell_type": "markdown", + "id": "b250295c-a4a8-4410-ab95-b1d04fc300b3", + "metadata": {}, + "source": [ + "Instead of writing these out in full, we can use a function notation:\n", + "\n", + "\\begin{align}\n", + "6.6. && \\dot{V}_s = f_s(V_c)\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "6.7. && \\dot{V}_1 = f_1(V_o - V_\\text{ref})\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "6.8. && R_f \\dot{I}_\\text{obs} = f_2(V_1)\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "43d55b20", + "metadata": {}, + "source": [ + "## Omitting the summing speed\n", + "\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "bc48dcc3-882c-46ca-b258-f639295bf102", + "metadata": {}, + "source": [ + "" + ] + }, + { + "cell_type": "markdown", + "id": "6ea1a55d-db67-4fc9-80cb-99b5ece0f436", + "metadata": {}, + "source": [ + "With instantaneous summing, equation 6.5 becomes analytical:\n", + "\\begin{align}\n", + "V_\\text{ref} &= V_s + \\alpha \\frac{R_s^*}{R_f}V_1 + \\beta R_s^* C_m^* \\dot{V}_\\text{est} \\\\\n", + " &= V_s + V_{rc} + V_{rp}\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "bf85bcfc-b605-4273-ac79-2eec548d98f0", + "metadata": {}, + "source": [ + "But we do still need its derivative for the C-fast compensation in 6.2, which has a term $C_p^*\\dot{V}_\\text{ref}$.\n", + "This is now given by:\n", + "\\begin{align}\n", + "\\dot{V}_\\text{ref} &= \\dot{V}_s + \\alpha \\frac{R_s^*}{R_f} \\dot{V}_1 + \\beta R_s^* C_m^* \\frac{d}{dt} \\dot{V}_\\text{est} \\\\\n", + " &= \\dot{V}_s + \\alpha \\frac{R_s^*}{R_f} \\dot{V}_1 + \\beta R_s^* C_m^* \\frac{\\dot{V}_s - \\dot{V}_\\text{est}}{(1 - \\beta)R_s^*C_m^*} \\\\\n", + " &= \\dot{V}_s + \\alpha \\frac{R_s^*}{R_f} \\dot{V}_1 + \\frac{\\beta}{1 - \\beta}\\left(\\dot{V}_s - \\dot{V}_\\text{est}\\right) \\\\\n", + " &= \\alpha \\frac{R_s^*}{R_f} \\dot{V}_1 + \\frac{\\dot{V}_s - \\beta \\dot{V}_\\text{est}}{1 - \\beta} \\\\\n", + " &= \\dot{V}_{rc} + \\frac{\\dot{V}_s - \\beta \\dot{V}_\\text{est}}{1 - \\beta}\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "ada79cd6-3b51-4f11-b709-191107f7e9d8", + "metadata": {}, + "source": [ + "\\begin{align}\n", + "1. && C_m\\dot{V}_m = \\frac{V_p + E_\\text{off}^\\dagger - V_m}{R_s} - \\frac{V_m - E_\\text{leak}}{R_\\text{leak}} - I\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "2. && (C_p+C_f)\\dot{V}_p = \\frac{V_o - V_p}{R_f} - \\frac{V_p + E_\\text{off}^\\dagger - V_m}{R_s} + C_f\\dot{V}_o + C_m^* \\dot{V}_\\text{est} + C_p^* \\left( \\dot{V}_{rc} + \\frac{\\dot{V}_s - \\beta \\dot{V}_\\text{est}}{1 - \\beta} \\right)\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "3. && \\tau_a \\dot{V}_o = V_s + V_{rc} + \\beta R_s^* C_m^* \\dot{V}_\\text{est} - V_p\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "4. && \\dot{V}_\\text{est} &= \\frac{V_s - V_\\text{est}}{(1 - \\beta)R_s^*C_m^*} \n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "5. && \\tau_{rc} \\dot{V}_{rc} = \\alpha \\frac{R_s^*}{R_f}V_1 - V_{rc}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "6. && \\dot{V}_s = f_s(V_c)\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "7. && \\dot{V}_1 = f_1(V_o - V_s - V_{rc} - \\beta R_s^* C_m^* \\dot{V}_\\text{est})\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "8. && R_f \\dot{I}_\\text{obs} = f_2(V_1)\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "94688ea6-f8fa-4b86-9096-3dbaf76f90a3", + "metadata": {}, + "source": [ + "## Adding in 1-pole lag\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "id": "92c7471a-4d0f-4cc1-bd77-23c934fd8b49", + "metadata": {}, + "source": [ + "\\begin{align}\n", + "1. && C_m\\dot{V}_m = \\frac{V_p + E_\\text{off}^\\dagger - V_m}{R_s} - \\frac{V_m - E_\\text{leak}}{R_\\text{leak}} - I\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "2. && (C_p+C_f)\\dot{V}_p = \\frac{V_o - V_p}{R_f} - \\frac{V_p + E_\\text{off}^\\dagger - V_m}{R_s} + C_f\\dot{V}_o + C_m^* \\dot{V}_\\text{est} + C_p^* \\left( \\dot{V}_{rc} + \\frac{\\dot{V}_s - \\beta \\dot{V}_\\text{est}}{1 - \\beta} \\right)\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "3. && \\tau_a \\dot{V}_o = V_s + V_{rc} + \\beta R_s^* C_m^* \\dot{V}_\\text{est} - V_p\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "4. && \\dot{V}_\\text{est} &= \\frac{V_s - V_\\text{est}}{(1 - \\beta)R_s^*C_m^*} \n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "5. && \\tau_{rc} \\dot{V}_{rc} = \\alpha \\frac{R_s^*}{R_f}V_1 - V_{rc}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "6. && \\dot{V}_s = f_s(V_c - V_s)\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "7. && \\dot{V}_1 = f_1(V_o - V_1 - V_s - V_{rc} - \\beta R_s^* C_m^* \\dot{V}_\\text{est})\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "8. && R_f \\dot{I}_\\text{obs} = f_2(V_1 - R_f I_\\text{obs})\n", + "\\end{align}" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "dadcea67-3cc1-4a5f-92b0-5d9b39602704", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "b390ba2a-1461-4d0f-a440-c762edd3295b", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "2d396df4-dd4e-4384-bf82-dba77fb867fb", + "metadata": {}, + "source": [ + "## Simulations with Bessel filters and first-order approximations" + ] + }, + { + "cell_type": "markdown", + "id": "b98ce079-c14f-458e-9d86-16ba3b39844b", + "metadata": {}, + "source": [ + "### Myokit model with first-order filters\n", + "\n", + "This version uses a first-order approximation for each of the three filters." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "a0d006cb-b169-4d58-88c0-ce36f14c74bb", + "metadata": {}, + "outputs": [], + "source": [ + "import myokit\n", + "import numpy as np\n", + "import matplotlib\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "f50d9640-53c1-47a5-b96b-000b279940c3", + "metadata": {}, + "outputs": [], + "source": [ + "m1 = myokit.parse_model('''\n", + "[[model]]\n", + "amp.Vm = -80\n", + "amp.Vp = -80\n", + "amp.Vo = -80\n", + "amp.Ve = -80\n", + "amp.Vr = -80\n", + "amp.Vf = -80\n", + "amp.V_obs = -80\n", + "amp.Vc = -80\n", + "\n", + "[engine]\n", + "time = 0 [ms] in [ms] bind time\n", + "pace = 0 bind pace\n", + "\n", + "[amp]\n", + "I = 10 [nS] * Vm\n", + " in [pA]\n", + "alpha = 0.7\n", + "beta = alpha\n", + "Rs = 6e-3 [GOhm] in [GOhm]\n", + "Rs_est = 6e-3 [GOhm] in [GOhm]\n", + "Cm = 25 [pF] in [pF]\n", + "Cm_est = 23 [pF] in [pF]\n", + "Cp = 6 [pF] in [pF]\n", + "Cp_est = 5.5 [pF] in [pF]\n", + "Rf = 0.495 [GOhm] in [GOhm]\n", + "Cf = 0.16 [pF] in [pF]\n", + "tau_amp = 20e-6 [ms] in [ms]\n", + "tau_sum = 10e-3 [ms] in [ms]\n", + "\n", + "# Voltage clamp and compensations\n", + "dot(Vm) = (Vp - Vm) / (Rs * Cm) - I / Cm\n", + " in [mV]\n", + "dot(Vp) = ((Vo - Vp) / Rf - (Vp - Vm) / Rs +\n", + " Cf * dot(Vo) + Cm_est * dot(Ve) + Cp_est * dot(Vr)\n", + " ) / (Cp + Cf)\n", + " in [mV]\n", + "dot(Vo) = (Vr - Vp) / tau_amp\n", + " in [mV]\n", + "dot(Ve) = (Vc - Ve) / ((1 - beta) * Rs_est * Cm_est)\n", + " in [mV]\n", + "dot(Vr) = (Vc + alpha * Rs_est / Rf * Vf + beta * Rs_est * Cm_est * dot(Ve) - Vr) / tau_sum\n", + " in [mV]\n", + "\n", + "# Output filters\n", + "f1 = 10 [kHz] in [kHz]\n", + "f2 = 10 [kHz] in [kHz]\n", + "tau_f1 = 1 / (2 * 3.14159 * f1)\n", + " in [ms]\n", + "tau_f2 = 1 / (2 * 3.14159 * f2)\n", + " in [ms]\n", + "dot(Vf) = (Vo - Vr - Vf) / tau_f1\n", + " in [mV]\n", + "dot(V_obs) = (Vf - V_obs) / tau_f2\n", + " in [mV]\n", + "I_obs = V_obs / Rf\n", + " in [pA]\n", + "\n", + "# Input filter\n", + "tr = 0.04 [ms] in [ms]\n", + "tau_fs = tr / log(9)\n", + " in [ms]\n", + "Vs = engine.pace * 1 [mV]\n", + " in [mV]\n", + "dot(Vc) = (Vs - Vc) / tau_fs\n", + " in [mV]\n", + "''')\n", + "m1.check_units(myokit.UNIT_STRICT)" + ] + }, + { + "cell_type": "markdown", + "id": "b2a5e658-7b1e-4211-9890-83346af9f677", + "metadata": {}, + "source": [ + "### Myokit model with Bessel filters" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "a858bde4-57ab-4d74-ad7d-871213689445", + "metadata": {}, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'myokit' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[0;32mIn[4], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m m2 \u001b[38;5;241m=\u001b[39m \u001b[43mmyokit\u001b[49m\u001b[38;5;241m.\u001b[39mparse_model(\u001b[38;5;124m'''\u001b[39m\n\u001b[1;32m 2\u001b[0m \u001b[38;5;124m[[model]]\u001b[39m\n\u001b[1;32m 3\u001b[0m \u001b[38;5;124mamp.Vm = -80\u001b[39m\n\u001b[1;32m 4\u001b[0m \u001b[38;5;124mamp.Vp = -80\u001b[39m\n\u001b[1;32m 5\u001b[0m \u001b[38;5;124mamp.Vo = -80\u001b[39m\n\u001b[1;32m 6\u001b[0m \u001b[38;5;124mamp.Ve = -80\u001b[39m\n\u001b[1;32m 7\u001b[0m \u001b[38;5;124mamp.Vr = -80\u001b[39m\n\u001b[1;32m 8\u001b[0m \u001b[38;5;124mamp.Vf11 = -80\u001b[39m\n\u001b[1;32m 9\u001b[0m \u001b[38;5;124mamp.Vf12 = -80\u001b[39m\n\u001b[1;32m 10\u001b[0m \u001b[38;5;124mamp.Vf13 = -80\u001b[39m\n\u001b[1;32m 11\u001b[0m \u001b[38;5;124mamp.Vf14 = -80\u001b[39m\n\u001b[1;32m 12\u001b[0m \u001b[38;5;124mamp.Vf15 = -80\u001b[39m\n\u001b[1;32m 13\u001b[0m \u001b[38;5;124mamp.Vf16 = -80\u001b[39m\n\u001b[1;32m 14\u001b[0m \u001b[38;5;124mamp.V21 = -80\u001b[39m\n\u001b[1;32m 15\u001b[0m \u001b[38;5;124mamp.V22 = -80\u001b[39m\n\u001b[1;32m 16\u001b[0m \u001b[38;5;124mamp.V23 = -80\u001b[39m\n\u001b[1;32m 17\u001b[0m \u001b[38;5;124mamp.V24 = -80\u001b[39m\n\u001b[1;32m 18\u001b[0m \u001b[38;5;124mamp.Vc1 = -80\u001b[39m\n\u001b[1;32m 19\u001b[0m \u001b[38;5;124mamp.Vc2 = -80\u001b[39m\n\u001b[1;32m 20\u001b[0m \n\u001b[1;32m 21\u001b[0m \u001b[38;5;124m[engine]\u001b[39m\n\u001b[1;32m 22\u001b[0m \u001b[38;5;124mtime = 0 [ms] in [ms] bind time\u001b[39m\n\u001b[1;32m 23\u001b[0m \u001b[38;5;124mpace = 0 bind pace\u001b[39m\n\u001b[1;32m 24\u001b[0m \n\u001b[1;32m 25\u001b[0m \u001b[38;5;124m[amp]\u001b[39m\n\u001b[1;32m 26\u001b[0m \u001b[38;5;124mI = 10 [nS] * Vm\u001b[39m\n\u001b[1;32m 27\u001b[0m \u001b[38;5;124m in [pA]\u001b[39m\n\u001b[1;32m 28\u001b[0m \u001b[38;5;124malpha = 0.7\u001b[39m\n\u001b[1;32m 29\u001b[0m \u001b[38;5;124mbeta = alpha\u001b[39m\n\u001b[1;32m 30\u001b[0m \u001b[38;5;124mRs = 6e-3 [GOhm] in [GOhm]\u001b[39m\n\u001b[1;32m 31\u001b[0m \u001b[38;5;124mRs_est = 6e-3 [GOhm] in [GOhm]\u001b[39m\n\u001b[1;32m 32\u001b[0m \u001b[38;5;124mCm = 25 [pF] in [pF]\u001b[39m\n\u001b[1;32m 33\u001b[0m \u001b[38;5;124mCm_est = 23 [pF] in [pF]\u001b[39m\n\u001b[1;32m 34\u001b[0m \u001b[38;5;124mCp = 6 [pF] in [pF]\u001b[39m\n\u001b[1;32m 35\u001b[0m \u001b[38;5;124mCp_est = 5.5 [pF] in [pF]\u001b[39m\n\u001b[1;32m 36\u001b[0m \u001b[38;5;124mRf = 0.495 [GOhm] in [GOhm]\u001b[39m\n\u001b[1;32m 37\u001b[0m \u001b[38;5;124mCf = 0.16 [pF] in [pF]\u001b[39m\n\u001b[1;32m 38\u001b[0m \u001b[38;5;124mtau_amp = 20e-6 [ms] in [ms]\u001b[39m\n\u001b[1;32m 39\u001b[0m \u001b[38;5;124mtau_sum = 10e-3 [ms] in [ms]\u001b[39m\n\u001b[1;32m 40\u001b[0m \n\u001b[1;32m 41\u001b[0m \u001b[38;5;124m# Voltage clamp and compensations\u001b[39m\n\u001b[1;32m 42\u001b[0m \u001b[38;5;124mdot(Vm) = (Vp - Vm) / (Rs * Cm) - I / Cm\u001b[39m\n\u001b[1;32m 43\u001b[0m \u001b[38;5;124m in [mV]\u001b[39m\n\u001b[1;32m 44\u001b[0m \u001b[38;5;124mdot(Vp) = ((Vo - Vp) / Rf - (Vp - Vm) / Rs +\u001b[39m\n\u001b[1;32m 45\u001b[0m \u001b[38;5;124m Cf * dot(Vo) + Cm_est * dot(Ve) + Cp_est * dot(Vr)\u001b[39m\n\u001b[1;32m 46\u001b[0m \u001b[38;5;124m ) / (Cp + Cf)\u001b[39m\n\u001b[1;32m 47\u001b[0m \u001b[38;5;124m in [mV]\u001b[39m\n\u001b[1;32m 48\u001b[0m \u001b[38;5;124mdot(Vo) = (Vr - Vp) / tau_amp\u001b[39m\n\u001b[1;32m 49\u001b[0m \u001b[38;5;124m in [mV]\u001b[39m\n\u001b[1;32m 50\u001b[0m \u001b[38;5;124mdot(Ve) = (Vc2 - Ve) / ((1 - beta) * Rs_est * Cm_est)\u001b[39m\n\u001b[1;32m 51\u001b[0m \u001b[38;5;124m in [mV]\u001b[39m\n\u001b[1;32m 52\u001b[0m \u001b[38;5;124mdot(Vr) = (Vc2 + alpha * Rs_est / Rf * Vf16 + beta * Rs_est * Cm_est * dot(Ve) - Vr) / tau_sum\u001b[39m\n\u001b[1;32m 53\u001b[0m \u001b[38;5;124m in [mV]\u001b[39m\n\u001b[1;32m 54\u001b[0m \n\u001b[1;32m 55\u001b[0m \u001b[38;5;124m# Filter 1\u001b[39m\n\u001b[1;32m 56\u001b[0m \u001b[38;5;124mf1 = 10 [kHz] in [kHz]\u001b[39m\n\u001b[1;32m 57\u001b[0m \u001b[38;5;124ma1 = 2.7034 / (2 * 3.14159 * f1)\u001b[39m\n\u001b[1;32m 58\u001b[0m \u001b[38;5;124m in [ms]\u001b[39m\n\u001b[1;32m 59\u001b[0m \u001b[38;5;124mdot(Vf11) = 26.514 / a1^2 * (Vo - Vr - Vf12) - 5.0319 / a1 * Vf11\u001b[39m\n\u001b[1;32m 60\u001b[0m \u001b[38;5;124m in [mV/ms]\u001b[39m\n\u001b[1;32m 61\u001b[0m \u001b[38;5;124mdot(Vf12) = Vf11\u001b[39m\n\u001b[1;32m 62\u001b[0m \u001b[38;5;124m in [mV]\u001b[39m\n\u001b[1;32m 63\u001b[0m \u001b[38;5;124mdot(Vf13) = 20.853 / a1^2 * (Vf12 - Vf14) - 7.4714 / a1 * Vf13\u001b[39m\n\u001b[1;32m 64\u001b[0m \u001b[38;5;124m in [mV/ms]\u001b[39m\n\u001b[1;32m 65\u001b[0m \u001b[38;5;124mdot(Vf14) = Vf13\u001b[39m\n\u001b[1;32m 66\u001b[0m \u001b[38;5;124m in [mV]\u001b[39m\n\u001b[1;32m 67\u001b[0m \u001b[38;5;124mdot(Vf15) = 18.801 / a1^2 * (Vf14 - Vf16) - 8.4967 / a1 * Vf15\u001b[39m\n\u001b[1;32m 68\u001b[0m \u001b[38;5;124m in [mV/ms]\u001b[39m\n\u001b[1;32m 69\u001b[0m \u001b[38;5;124mdot(Vf16) = Vf15\u001b[39m\n\u001b[1;32m 70\u001b[0m \u001b[38;5;124m desc: The 6-pole filtered output\u001b[39m\n\u001b[1;32m 71\u001b[0m \u001b[38;5;124m in [mV]\u001b[39m\n\u001b[1;32m 72\u001b[0m \n\u001b[1;32m 73\u001b[0m \u001b[38;5;124m# Filter 2\u001b[39m\n\u001b[1;32m 74\u001b[0m \u001b[38;5;124mf2 = 10 [kHz] in [kHz]\u001b[39m\n\u001b[1;32m 75\u001b[0m \u001b[38;5;124ma2 = 2.114 / (2 * 3.14159 * f2)\u001b[39m\n\u001b[1;32m 76\u001b[0m \u001b[38;5;124m in [ms]\u001b[39m\n\u001b[1;32m 77\u001b[0m \u001b[38;5;124mdot(V21) = 11.488 / a2^2 * (Vf16 - V22) - 4.2076 / a2 * V21\u001b[39m\n\u001b[1;32m 78\u001b[0m \u001b[38;5;124m in [mV/ms]\u001b[39m\n\u001b[1;32m 79\u001b[0m \u001b[38;5;124mdot(V22) = V_obs1\u001b[39m\n\u001b[1;32m 80\u001b[0m \u001b[38;5;124m in [mV]\u001b[39m\n\u001b[1;32m 81\u001b[0m \u001b[38;5;124mdot(V23) = 9.1401 / a2^2 * (V22 - V24) - 5.7924 / a2 * V23\u001b[39m\n\u001b[1;32m 82\u001b[0m \u001b[38;5;124m in [mV/ms]\u001b[39m\n\u001b[1;32m 83\u001b[0m \u001b[38;5;124mdot(V24) = V23\u001b[39m\n\u001b[1;32m 84\u001b[0m \u001b[38;5;124m desc: The 4-pole filtered output\u001b[39m\n\u001b[1;32m 85\u001b[0m \u001b[38;5;124m in [mV]\u001b[39m\n\u001b[1;32m 86\u001b[0m \u001b[38;5;124mI_obs = V24 / Rf\u001b[39m\n\u001b[1;32m 87\u001b[0m \u001b[38;5;124m in [pA]\u001b[39m\n\u001b[1;32m 88\u001b[0m \n\u001b[1;32m 89\u001b[0m \u001b[38;5;124m# Input filter\u001b[39m\n\u001b[1;32m 90\u001b[0m \u001b[38;5;124mtr = 0.04 [ms] in [ms]\u001b[39m\n\u001b[1;32m 91\u001b[0m \u001b[38;5;124ma3 = 1.3616 * tr / log(9)\u001b[39m\n\u001b[1;32m 92\u001b[0m \u001b[38;5;124m in [ms]\u001b[39m\n\u001b[1;32m 93\u001b[0m \u001b[38;5;124mVs = engine.pace * 1 [mV]\u001b[39m\n\u001b[1;32m 94\u001b[0m \u001b[38;5;124m in [mV]\u001b[39m\n\u001b[1;32m 95\u001b[0m \u001b[38;5;124mdot(Vc1) = 3 * ((Vs - Vc2) / a3^2 - Vc1 / a3)\u001b[39m\n\u001b[1;32m 96\u001b[0m \u001b[38;5;124m in [mV/ms]\u001b[39m\n\u001b[1;32m 97\u001b[0m \u001b[38;5;124mdot(Vc2) = Vc1\u001b[39m\n\u001b[1;32m 98\u001b[0m \u001b[38;5;124m desc: The 2-pole filtered stimulus\u001b[39m\n\u001b[1;32m 99\u001b[0m \u001b[38;5;124m in [mV]\u001b[39m\n\u001b[1;32m 100\u001b[0m \u001b[38;5;124m'''\u001b[39m)\n\u001b[1;32m 101\u001b[0m m2\u001b[38;5;241m.\u001b[39mcheck_units(myokit\u001b[38;5;241m.\u001b[39mUNIT_STRICT)\n", + "\u001b[0;31mNameError\u001b[0m: name 'myokit' is not defined" + ] + } + ], + "source": [ + "m2 = myokit.parse_model('''\n", + "[[model]]\n", + "amp.Vm = -80\n", + "amp.Vp = -80\n", + "amp.Vo = -80\n", + "amp.Ve = -80\n", + "amp.Vr = -80\n", + "amp.Vf11 = -80\n", + "amp.Vf12 = -80\n", + "amp.Vf13 = -80\n", + "amp.Vf14 = -80\n", + "amp.Vf15 = -80\n", + "amp.Vf16 = -80\n", + "amp.V21 = -80\n", + "amp.V22 = -80\n", + "amp.V23 = -80\n", + "amp.V24 = -80\n", + "amp.Vc1 = -80\n", + "amp.Vc2 = -80\n", + "\n", + "[engine]\n", + "time = 0 [ms] in [ms] bind time\n", + "pace = 0 bind pace\n", + "\n", + "[amp]\n", + "I = 10 [nS] * Vm\n", + " in [pA]\n", + "alpha = 0.7\n", + "beta = alpha\n", + "Rs = 6e-3 [GOhm] in [GOhm]\n", + "Rs_est = 6e-3 [GOhm] in [GOhm]\n", + "Cm = 25 [pF] in [pF]\n", + "Cm_est = 23 [pF] in [pF]\n", + "Cp = 6 [pF] in [pF]\n", + "Cp_est = 5.5 [pF] in [pF]\n", + "Rf = 0.495 [GOhm] in [GOhm]\n", + "Cf = 0.16 [pF] in [pF]\n", + "tau_amp = 20e-6 [ms] in [ms]\n", + "tau_sum = 10e-3 [ms] in [ms]\n", + "\n", + "# Voltage clamp and compensations\n", + "dot(Vm) = (Vp - Vm) / (Rs * Cm) - I / Cm\n", + " in [mV]\n", + "dot(Vp) = ((Vo - Vp) / Rf - (Vp - Vm) / Rs +\n", + " Cf * dot(Vo) + Cm_est * dot(Ve) + Cp_est * dot(Vr)\n", + " ) / (Cp + Cf)\n", + " in [mV]\n", + "dot(Vo) = (Vr - Vp) / tau_amp\n", + " in [mV]\n", + "dot(Ve) = (Vc2 - Ve) / ((1 - beta) * Rs_est * Cm_est)\n", + " in [mV]\n", + "dot(Vr) = (Vc2 + alpha * Rs_est / Rf * Vf16 + beta * Rs_est * Cm_est * dot(Ve) - Vr) / tau_sum\n", + " in [mV]\n", + "\n", + "# Filter 1\n", + "f1 = 10 [kHz] in [kHz]\n", + "a1 = 2.7034 / (2 * 3.14159 * f1)\n", + " in [ms]\n", + "dot(Vf11) = 26.514 / a1^2 * (Vo - Vr - Vf12) - 5.0319 / a1 * Vf11\n", + " in [mV/ms]\n", + "dot(Vf12) = Vf11\n", + " in [mV]\n", + "dot(Vf13) = 20.853 / a1^2 * (Vf12 - Vf14) - 7.4714 / a1 * Vf13\n", + " in [mV/ms]\n", + "dot(Vf14) = Vf13\n", + " in [mV]\n", + "dot(Vf15) = 18.801 / a1^2 * (Vf14 - Vf16) - 8.4967 / a1 * Vf15\n", + " in [mV/ms]\n", + "dot(Vf16) = Vf15\n", + " desc: The 6-pole filtered output\n", + " in [mV]\n", + "\n", + "# Filter 2\n", + "f2 = 10 [kHz] in [kHz]\n", + "a2 = 2.114 / (2 * 3.14159 * f2)\n", + " in [ms]\n", + "dot(V21) = 11.488 / a2^2 * (Vf16 - V22) - 4.2076 / a2 * V21\n", + " in [mV/ms]\n", + "dot(V22) = V21\n", + " in [mV]\n", + "dot(V23) = 9.1401 / a2^2 * (V22 - V24) - 5.7924 / a2 * V23\n", + " in [mV/ms]\n", + "dot(V24) = V23\n", + " desc: The 4-pole filtered output\n", + " in [mV]\n", + "I_obs = V24 / Rf\n", + " in [pA]\n", + "\n", + "# Input filter\n", + "tr = 0.04 [ms] in [ms]\n", + "a3 = 1.3616 * tr / log(9)\n", + " in [ms]\n", + "Vs = engine.pace * 1 [mV]\n", + " in [mV]\n", + "dot(Vc1) = 3 * ((Vs - Vc2) / a3^2 - Vc1 / a3)\n", + " in [mV/ms]\n", + "dot(Vc2) = Vc1\n", + " desc: The 2-pole filtered stimulus\n", + " in [mV]\n", + "''')\n", + "m2.check_units(myokit.UNIT_STRICT)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "90afe52d-14b5-4dca-9061-77a85e2beb05", + "metadata": {}, + "outputs": [], + "source": [ + "p = myokit.Protocol()\n", + "p.add_step(level=-80, duration=100)\n", + "p.add_step(level=40, duration=100)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "a4899a6d-dcd7-40c0-b645-3f846def1867", + "metadata": {}, + "outputs": [], + "source": [ + "s1 = myokit.Simulation(m1, p)\n", + "s1.set_tolerance(1e-8)\n", + "s1.pre(50)\n", + "d1 = s1.run(200)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "a0dade5f-ffed-4edd-811a-ae67424dd141", + "metadata": {}, + "outputs": [], + "source": [ + "s2 = myokit.Simulation(m2, p)\n", + "s2.set_tolerance(1e-8)\n", + "s2.pre(50)\n", + "d2 = s2.run(200)" + ] + }, + { + "cell_type": "markdown", + "id": "d3321fb0-e322-4371-95dd-5b260f970d14", + "metadata": {}, + "source": [ + "### Simulations with both models:" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "98954441-5cef-4e14-97c0-8673a229405b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "colors = matplotlib.colormaps['tab10'].colors\n", + "fig = plt.figure(figsize=(13, 4))\n", + "\n", + "ax1 = fig.add_subplot(1, 2, 1)\n", + "ax2 = fig.add_subplot(1, 2, 2)\n", + "ax1.set_xlim(99.9, 100.5)\n", + "ax2.set_xlim(99.9, 101.5)\n", + "\n", + "ax1.plot(d1.time(), d1['amp.Vc'], 'k', label='Vc, n=1')\n", + "ax1.plot(d2.time(), d2['amp.Vc2'], 'k--', label='Vc, n=2')\n", + "\n", + "for i, f1 in enumerate([5, 10, 20]):\n", + " s1.set_constant('amp.f1', f1)\n", + " s2.set_constant('amp.f1', f1)\n", + " s1.reset()\n", + " s2.reset()\n", + " d1 = s1.run(200)\n", + " d2 = s2.run(200)\n", + " ax1.plot(d1.time(), d1['amp.Vm'], color=colors[i], label=f'Vm, {f1} kHz, n=1,1')\n", + " ax1.plot(d2.time(), d2['amp.Vm'], color=colors[i], ls='--', label=f'Vm, {f1} kHz, n=2,6')\n", + " ax2.plot(d1.time(), d1['amp.I_obs'], color=colors[i], label=f'{f1} kHz, n=1')\n", + " ax2.plot(d2.time(), d2['amp.I_obs'], color=colors[i], ls='--', label=f'{f1} kHz, n=6')\n", + "ax1.legend()\n", + "ax2.legend()\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "5e0a078e-d780-4ee0-8fe6-b4db3d169925", + "metadata": {}, + "source": [ + "## The effect of the stimulus filter\n", + "\n", + "Filter1 and filter2 set to 30kHz and 100kHz - so pretty much off.\n", + "Stimulus filter varied." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "328e063e-e842-46ea-a562-279cb274791e", + "metadata": {}, + "outputs": [], + "source": [ + "def reset(s):\n", + " s.reset()\n", + " s.set_constant('amp.f1', 10)\n", + " s.set_constant('amp.f2', 10)\n", + " s.set_constant('amp.tr', 0.04)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "9dbca592-9a45-4853-84f5-5e792273e8da", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "reset(s1)\n", + "reset(s2)\n", + "s1.set_constant('amp.f1', 30)\n", + "s2.set_constant('amp.f1', 30)\n", + "s1.set_constant('amp.f2', 100)\n", + "s2.set_constant('amp.f2', 100)\n", + "\n", + "fig = plt.figure(figsize=(13, 4))\n", + "\n", + "ax1 = fig.add_subplot(1, 2, 1)\n", + "ax2 = fig.add_subplot(1, 2, 2)\n", + "ax1.set_xlim(99.9, 100.5)\n", + "ax2.set_xlim(99.9, 101.5)\n", + "\n", + "for i, tr in enumerate([0.04, 0.004]):\n", + " #s1.set_constant('amp.tr', tr)\n", + " s2.set_constant('amp.tr', tr)\n", + " #s1.reset()\n", + " s2.reset()\n", + " #d1 = s1.run(200)\n", + " d2 = s2.run(200)\n", + "\n", + " c = color=colors[i]\n", + " #ax1.plot(d1.time(), d1['amp.Vc'], color=c, label='Vc, n=1')\n", + " ax1.plot(d2.time(), d2['amp.Vc2'], color=c, ls='--')\n", + " #ax2.plot(d1.time(), d1['amp.I_obs'], color=c, label=f'{f1} kHz, n=1')\n", + " ax2.plot(d2.time(), d2['amp.I_obs'], color=c, ls='--', label=f'{tr} $\\\\mu$s')\n", + "#ax1.legend()\n", + "ax2.legend()\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "40b061d4-4517-4c5c-b2ad-167956ae2eba", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "b5a722ad-ec70-429a-8f74-f8e05137c8f4", + "metadata": {}, + "source": [ + "# OPEN QUESTIONS\n", + "\n", + "- Is the \"Rs comp resistance\" _lag_ (or `r_series_tau`) the same as \"the speed of the summing amp\"? Do we need a speed of a summing amp? Are Rs comp and Rs pred both affected?\n", + " - Note: In Chon's version, tau_z ends up representing the effects of RfCf, F1, and F2 _on the output_. This is why he describes it as depending on the filter settings. It is a 1-pole representation of the filter cascade.\n", + " - If there is a \"speed of the summing amp\" then this would affect $V_c$ and hence $I_obs$ _even when Rs comp is switched off_\n", + "- Is r_series_tau a parameter related to a filter?\n", + " - Filter1 is set automatically based on \"r_series_tau\". So _is_ filter1 the source of this tau? ? No, because 10us and 100us both use Bessel 10kHz.\n", + " - In Axon devices, there is a \"lag\" parameter in us which is described as being 1/2pif with f the frequency of a 1-pole filter used in the Rs comp feedback loop.\n", + " - Is there an additional 1-pole filter after filter1 used only in the Rs feedback loop? And if so, is tau simply 1/2pif for this filter? Or have they done some sum to make filter1+filter3 (let's call it that)\n", + " \n", + "Things to test:\n", + "- With prediction switched off, and compensation at e.g. 1%. Change the r_series_tau and see if a voltage step is affected. If so the summing amp version is corrrect\n", + "- \n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "78812d76-397d-4f45-be9b-3b09a7bcedc9", + "metadata": {}, + "source": [ + "To find out:\n", + "\n", + "- disable filter2\n", + "- set the speed of acquisition to the highest it can be (5us)\n", + "- try to minimise noise\n", + "\n", + "\n", + "zzzz\n", + "- Set Rs comp to 0, 20%, 40%, 60%, 80%\n", + "- Set prediction to 0, then 0-20, then 0-20-40 etc\n", + "- Repeat for each setting of the speed\n", + "- If possible, leave filter1 at the highest setting instead of using the auto value" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "2628708c-5b89-448b-a8b6-735ed4cc3711", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2us 5.305164769729844e-06\n", + "5us 5.305164769729844 us\n", + "10us 1.5915494309189534e-05\n", + "100us 15.915494309189533 us\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "print('2us ', 1 / (2 * np.pi * 30e3))\n", + "print('5us ', 1 / (2 * np.pi * 30e3) * 1e6, 'us')\n", + "print('10us ', 1 / (2 * np.pi * 10e3))\n", + "print('100us', 1 / (2 * np.pi * 10e3) * 1e6, 'us')\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "9a943592-babc-474f-b983-2cef51974ebd", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 68, + "id": "abb227a1-f16e-4939-85d6-47dfeac02ea7", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Tau amp 0.0792\n" + ] + } + ], + "source": [ + "m1 = myokit.parse_model('''\n", + "[[model]]\n", + "amp.Vm = -80\n", + "amp.Vp = -80\n", + "amp.Vo = -80\n", + "amp.Ve = -80\n", + "amp.Vr = -80\n", + "amp.Vf11 = -80\n", + "amp.Vf12 = -80\n", + "amp.Vf13 = -80\n", + "amp.Vf14 = -80\n", + "amp.Vf15 = -80\n", + "amp.Vf16 = -80\n", + "amp.Vc1 = -80\n", + "amp.Vc2 = -80\n", + "\n", + "[engine]\n", + "time = 0 [ms] in [ms] bind time\n", + "pace = 0 bind pace\n", + "\n", + "[amp]\n", + "I = 1000 [nS] * Vm\n", + " in [pA]\n", + "alpha = 0.7\n", + "beta = 0.7\n", + "Rs = 5.457e-3 [GOhm] in [GOhm]\n", + "Rs_est = 5.457e-3 [GOhm] in [GOhm]\n", + "Cm = 21.675 [pF] in [pF]\n", + "Cm_est = 21.675 [pF] in [pF]\n", + "Cp = 5.78 [pF] in [pF]\n", + "Cp_est = 5.78 [pF] in [pF]\n", + "Rf = 0.495 [GOhm] in [GOhm]\n", + "Cf = 0.16 [pF] in [pF]\n", + "tau_amp = 20e-6 [ms] in [ms]\n", + "tau_sum = 10e-3 [ms] in [ms]\n", + "\n", + "# Voltage clamp and compensations\n", + "dot(Vm) = (Vp - Vm) / (Rs * Cm) - I / Cm\n", + " in [mV]\n", + "dot(Vp) = ((Vo - Vp) / Rf - (Vp - Vm) / Rs +\n", + " Cf * dot(Vo) + Cm_est * dot(Ve) + Cp_est * dot(Vr)\n", + " ) / (Cp + Cf)\n", + " in [mV]\n", + "dot(Vo) = (Vr - Vp) / tau_amp\n", + " in [mV]\n", + "dot(Ve) = (Vc2 - Ve) / ((1 - beta) * Rs_est * Cm_est)\n", + " in [mV]\n", + "dot(Vr) = (Vc2 + alpha * Rs_est / Rf * Vf16 + beta * Rs_est * Cm_est * dot(Ve) - Vr) / tau_sum\n", + " in [mV]\n", + "\n", + "# Filter 1\n", + "f1 = 10 [kHz] in [kHz]\n", + "a1 = 2.7034 / (2 * 3.14159 * f1)\n", + " in [ms]\n", + "dot(Vf11) = 26.514 / a1^2 * (Vo - Vr - Vf12) - 5.0319 / a1 * Vf11\n", + " in [mV/ms]\n", + "dot(Vf12) = Vf11\n", + " in [mV]\n", + "dot(Vf13) = 20.853 / a1^2 * (Vf12 - Vf14) - 7.4714 / a1 * Vf13\n", + " in [mV/ms]\n", + "dot(Vf14) = Vf13\n", + " in [mV]\n", + "dot(Vf15) = 18.801 / a1^2 * (Vf14 - Vf16) - 8.4967 / a1 * Vf15\n", + " in [mV/ms]\n", + "dot(Vf16) = Vf15\n", + " desc: The 6-pole filtered output\n", + " in [mV]\n", + "\n", + "# Input filter\n", + "tr = 0.04 [ms] in [ms]\n", + "a3 = 1.3616 * tr / log(9)\n", + " in [ms]\n", + "Vs = engine.pace * 1 [mV]\n", + " in [mV]\n", + "dot(Vc1) = 3 * ((Vs - Vc2) / a3^2 - Vc1 / a3)\n", + " in [mV/ms]\n", + "dot(Vc2) = Vc1\n", + " desc: The 2-pole filtered stimulus\n", + " in [mV]\n", + "\n", + "# Output current (without filter2)\n", + "I_obs = Vf16 / Rf\n", + " in [pA]\n", + "''')\n", + "m1.check_units(myokit.UNIT_STRICT)\n", + "\n", + "s1 = myokit.Simulation(m1, p)\n", + "s1.set_tolerance(1e-8)\n", + "s1.pre(50)\n", + "\n", + "print('Tau amp', m1.get('amp.Rf').eval() * m1.get('amp.Cf').eval())" + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "id": "b8679799-c4b2-43fd-a1d3-80a1ff8ffeb0", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(12, 3))\n", + "\n", + "ax1 = fig.add_subplot(1, 3, 1)\n", + "ax1.set_xlim(99.95, 100.2)\n", + "ax1.axhline(-80, lw=0.5, color='k')\n", + "ax1.axhline(40, lw=0.5, color='k')\n", + "\n", + "ax2 = fig.add_subplot(1, 3, 2)\n", + "ax2.set_xlim(99.95, 100.5)\n", + "\n", + "ax3 = fig.add_subplot(1, 3, 3)\n", + "ax3.set_xlim(99.95, 101)\n", + "\n", + "#for tau in [2e-3, 5e-3, 0.01, 0.1]:\n", + "for tau in [1e-3, 1e-6, 1e-9]:\n", + " for cf in [1e-1, 1e-2, 1e-3, 1e-6]:\n", + " s1.reset()\n", + " #s1.set_constant('amp.tau_sum', tau)\n", + " s1.set_constant('amp.alpha', 0.0)\n", + " s1.set_constant('amp.beta', 0.0)\n", + " s1.set_constant('amp.Cf', cf) #0.16)\n", + " s1.set_constant('amp.tau_amp', tau)\n", + " s1.set_constant('amp.tau_sum', tau)\n", + "\n", + " #Cf = 0.16 [pF] in [pF]\n", + " #tau_amp = 20e-6 [ms] in [ms]\n", + " #tau_sum = 10e-3 [ms] in [ms]\n", + " \n", + " d1 = s1.run(200, log_interval=0.005)\n", + " ax1.plot(d1.time(), d1['amp.Vc2'], 's-', label=f'Cf {cf} Tau {tau}')\n", + " ax2.plot(d1.time(), d1['amp.Vr'])\n", + " ax3.plot(d1.time(), d1['amp.I_obs'])\n", + "\n", + "ax1.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "808dd55f-7c1a-4fe2-a8ca-7f9bba2a37a5", + "metadata": {}, + "source": [ + "" + ] + }, + { + "cell_type": "markdown", + "id": "c7a2cdee-c23b-450f-bad2-28bbc0d24879", + "metadata": {}, + "source": [ + "- Does tau affect the stimulus?\n", + " - Can't see on Vout --> Is before then. But if it isn't then we'll see changes with different tau\n", + " - " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "620a57fc-6a65-484e-a914-068b101ab507", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "7a518fa2-61ea-4918-af84-448aeff63603", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "12dfbc75-690c-42b9-aac3-25b87da5c20b", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "40fdc26d-2694-4769-ae0e-47d5cd51cb59", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "bdc3df6e-af3b-42e6-a92a-30ca15868247", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "b1ed5858-61e1-487e-a2cd-c3b9c6c54899", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "678777b2-851e-4da3-917b-d07da6482804", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d93ab3f2-0608-46bc-bd0e-9dd0ffc7e2f6", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "48fcff8b-dc66-4192-88c8-32e9ba837f7a", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "0f14611f-b6be-43ac-ab45-c7c0ba530e8d", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "2ea89790-bfca-492c-92a8-4c85ed47366f", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "9f924922-c19c-4567-949b-76d6bebb746c", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "0cd7c315-300c-4806-963e-c1ee4bec70d6", + "metadata": {}, + "source": [ + "## Filtering the output\n", + "\n", + "Patch-clamp amplifiers have several options to filter the data as they record it.\n", + "In the HEKA EPC-9 and EPC-10, which are based on the Sigworth design discussed here, there are two built-in analog filters, one of which is always on [Sigworth 1995b](https://doi.org/10.1016/0165-0270(94)00128-4).\n", + "\n", + "Instead of working out the transfer function etc., we'll simulate the application of the analog filter using a digital filter from SciPy.\n", + "I'm not 100% sure this is the best way to do it.\n", + "Some discussion can be found [on stack exchange](https://dsp.stackexchange.com/questions/8319)." + ] + }, + { + "cell_type": "markdown", + "id": "6716b33b-e455-49eb-b3b3-067d94fd9326", + "metadata": {}, + "source": [ + "From the manuals, we can see that the EPC-9 uses a 3d order Bessel filter set to 10kHz in most situations, while the EPC-10 uses a 6th order one.\n", + "\n", + "Let's see how this might affect a sodium current, i.e. a Beeler-Reuter sodium current when stepping from -80 to -20mV." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "3425887e-136e-45a7-a7cb-36fad431d23c", + "metadata": {}, + "outputs": [], + "source": [ + "import myokit\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "0b89dd81-ed67-43d8-bd85-94b3afc3258c", + "metadata": {}, + "outputs": [], + "source": [ + "m = myokit.parse_model('''\n", + "[[model]]\n", + "ina.m = 0.01\n", + "ina.h = 0.99\n", + "ina.j = 0.98\n", + "\n", + "[engine]\n", + "time = 0 [ms]\n", + " in [ms]\n", + " bind time\n", + " \n", + "[membrane]\n", + "V = 0 [mV]\n", + " in [mV]\n", + " bind pace\n", + "\n", + "[ina]\n", + "use membrane.V as V\n", + "gNaBar = 4 [mS/cm^2]\n", + " in [mS/cm^2]\n", + "gNaC = 0.003 [mS/cm^2]\n", + " in [mS/cm^2]\n", + "ENa = 50 [mV]\n", + " in [mV]\n", + "INa = (gNaBar * m^3 * h * j + gNaC) * (V - ENa)\n", + " in [uA/cm^2]\n", + " desc: The excitatory inward sodium current\n", + "dot(m) = alpha * (1 - m) - beta * m\n", + " alpha = 1 [1/mV/ms] * (V + 47 [mV]) / (1 - exp(-0.1 [1/mV] * (V + 47 [mV])))\n", + " in [1/ms]\n", + " beta = 40 [1/ms] * exp(-0.056 [1/mV] * (V + 72 [mV]))\n", + " in [1/ms]\n", + "dot(h) = alpha * (1 - h) - beta * h\n", + " alpha = 0.126 [1/ms] * exp(-0.25 [1/mV] * (V + 77 [mV]))\n", + " in [1/ms]\n", + " beta = 1.7 [1/ms] / (1 + exp(-0.082 [1/mV] * (V + 22.5 [mV])))\n", + " in [1/ms]\n", + "dot(j) = alpha * (1 - j) - beta * j\n", + " alpha = 0.055 [1/ms] * exp(-0.25 [1/mV] * (V + 78 [mV])) / (1 + exp(-0.2 [1/mV] * (V + 78 [mV])))\n", + " in [1/ms]\n", + " beta = 0.3 [1/ms] / (1 + exp(-0.1 [1/mV] * (V + 32 [mV])))\n", + " in [1/ms]\n", + "''')\n", + "m.check_units(myokit.UNIT_STRICT)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "723c9f87-06ce-401c-9001-a13673a5a9a4", + "metadata": {}, + "outputs": [], + "source": [ + "p = myokit.Protocol()\n", + "p.schedule(start=0, level=-80, duration=100)\n", + "p.schedule(start=100, level=-20, duration=20)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "9446ee70-24a1-46cb-af96-a15cd828220a", + "metadata": {}, + "outputs": [], + "source": [ + "s = myokit.Simulation(m, p)\n", + "s.run(99)\n", + "d = s.run(6, log_interval=1e-4)\n", + "d = d.npview()" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "fc8ba242-3907-42d8-9391-97f38bc20e09", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure()\n", + "ax = fig.add_subplot()\n", + "ax.plot(d.time(), d['ina.INa'])\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "c2c0ca21-7feb-4a1a-ad3f-769c8675e164", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import scipy.signal\n", + "\n", + "t = d.time()\n", + "dt = np.mean(t[1:] - t[:-1]) # In ms\n", + "fs = 1 / dt # Sampling frequency, in kHz\n", + "fc = 10 # Cut-off frequency, in kHz\n", + "\n", + "def low_pass(data, fc, fs, n=3):\n", + " \"\"\" Apply a Bessel low-pass filter with cut-off fc (in Hz). \"\"\"\n", + " b, a = scipy.signal.bessel(n, fc / (fs / 2), btype='lowpass', norm='mag')\n", + " return scipy.signal.lfilter(b, a, data)\n", + "\n", + "fig = plt.figure(figsize=(15, 4))\n", + "ax = fig.add_subplot()\n", + "ax.plot(t, d['ina.INa'], label='Original')\n", + "ax.plot(t, low_pass(d['ina.INa'], fc, fs, 3), label='3d order 10kHz Bessel')\n", + "ax.plot(t, low_pass(d['ina.INa'], fc, fs, 6), label='6th order 10kHz Bessel')\n", + "ax.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "16b5be63-7407-4283-b457-c0dd43fced61", + "metadata": {}, + "source": [ + "For this fast current, the filtering does seem to have a notable effect.\n", + "It's also worth noting that, in the published EPC-9 design, the $R_s$ compensation uses a signal that has been passed through this filter.\n", + "\n", + "For now, we will not include the filter in our model.\n", + "See [Kuo & Bean (1994)](https://doi.org/10.1016/0896-6273(94)90335-2) for a real-life mention of the filter's effect on very fast INa properties." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "61e1f286-87cc-4af4-9961-6daa2a528bcd", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "8360dd77-6aa5-4a5c-a62e-b5c3cb8db7f4", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.2" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/artefacts/artefacts-4-simulations.ipynb b/artefacts/artefacts-4-simulations.ipynb new file mode 100644 index 0000000..7e6e554 --- /dev/null +++ b/artefacts/artefacts-4-simulations.ipynb @@ -0,0 +1,1084 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "cf0eda98", + "metadata": {}, + "source": [ + "# Simulating a manual patch clamp experiment\n", + "\n", + "In the [last notebook](./artefacts-3-filters.ipynb) we completed our model of whole-cell patch clamp in voltage-clamp mode.\n", + "Here, we use this model to simulate a manual patch clamp experiment." + ] + }, + { + "cell_type": "markdown", + "id": "aff16dcd", + "metadata": {}, + "source": [ + "## Pipette in the bath\n", + "\n", + "We start by modelling a pipette hanging in the bath, but not touching a cell.\n", + "We've found a cell and brought the pipette close, but not near enough to affect the current reading yet.\n", + "\n", + "We'll assume that $R_s$ is the pipette tip resistance, and is $5M\\Omega$.\n", + "The capacitance will probably be a bit less than when the pipette is fully submerged, but we'll leave it at the 5pF value used throughout.\n", + "The variables representing the cell have been removed, and all compensations are off at this point, so we won't include them either." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "ad57d657", + "metadata": {}, + "outputs": [], + "source": [ + "import colorsys\n", + "import myokit\n", + "import numpy as np\n", + "import matplotlib\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "649e709a", + "metadata": {}, + "outputs": [], + "source": [ + "m = myokit.parse_model('''\n", + "[[model]]\n", + "amp.Vp = 0\n", + "amp.Vo = 0\n", + "\n", + "[engine]\n", + "time = 0 [ms] in [ms] bind time\n", + "pace = 0 bind pace\n", + "\n", + "[amp]\n", + "Rs = 5e-3 [GOhm] in [GOhm]\n", + "Cp = 5 [pF] in [pF]\n", + "Rf = 0.5 [GOhm] in [GOhm]\n", + "Cf = 0.15 [pF] in [pF]\n", + "tau_amp = 20e-6 [ms] in [ms]\n", + "I = 0 [pA] in [pA]\n", + "E_off = 12 [mV] in [mV]\n", + "Vc = engine.pace * 1 [mV]\n", + " in [mV]\n", + "dot(Vp) = ((Vo - Vp) / Rf - (Vp + E_off) / Rs + Cf * dot(Vo)) / (Cf + Cp)\n", + " in [mV]\n", + "dot(Vo) = (Vc - Vp) / tau_amp\n", + " in [mV]\n", + "I_obs = (Vo - Vc) / Rf\n", + " in [pA]\n", + "''')\n", + "m.check_units(myokit.UNIT_STRICT)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "9759e985", + "metadata": {}, + "outputs": [], + "source": [ + "p = myokit.Protocol()\n", + "p.add_step(level=0, duration=5)\n", + "p.add_step(level=10, duration=10)\n", + "p.add_step(level=0, duration=15)\n", + "\n", + "s = myokit.Simulation(m, p)\n", + "s.pre(4)\n", + "d = s.run(20, log_interval=1e-3)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "826d3386", + "metadata": {}, + "outputs": [], + "source": [ + "def create_plot(label1='Vp (mV)', label2='Iobs (pA)', av1=[], av2=[]):\n", + " kw = dict(color='#aaa', ls='--')\n", + " fig = plt.figure(figsize=(15, 6))\n", + " \n", + " ax1 = fig.add_subplot(1, 2, 1)\n", + " ax1.set_ylabel(label1)\n", + " for y in av1:\n", + " ax1.axhline(y, **kw)\n", + " \n", + " ax2 = fig.add_subplot(1, 2, 2)\n", + " ax2.set_xlabel('Time (ms)')\n", + " ax2.set_ylabel(label2)\n", + " for y in av2:\n", + " ax2.axhline(y, **kw)\n", + " \n", + " return fig, ax1, ax2\n", + "\n", + "blue_hls = colorsys.rgb_to_hls(*matplotlib.colors.ColorConverter.to_rgb('tab:blue'))\n", + "def blue(f):\n", + " h, l, s = blue_hls\n", + " return colorsys.hls_to_rgb(\n", + " blue_hls[0], 1 - f * (1 - blue_hls[1]), blue_hls[2])" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "44a67b84", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax1, ax2 = create_plot(av1=[0, 10], av2=[0])\n", + "ax1.plot(d.time(), d['amp.Vp'])\n", + "ax2.plot(d.time(), d['amp.I_obs'])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "7c91c2cf", + "metadata": {}, + "source": [ + "The first thing we need to do is zero the current." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "2c84157a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax1, ax2 = create_plot(av1=[0, 10], av2=[0, 2000])\n", + "for E in np.linspace(12, 0, 8):\n", + " s.reset()\n", + " s.set_constant('amp.E_off', E)\n", + " s.pre(4)\n", + " d = s.run(20, log_interval=1e-3)\n", + " ax2.plot(d.time(), d['amp.I_obs'], color=blue(1 - 0.9 * (E / 12)))\n", + "ax1.plot(d.time(), d['amp.Vp'])\n", + "ax2.text(12, 500, 'Zeroing!', rotation=-20)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "575c8dc7", + "metadata": {}, + "source": [ + "Let's look at the result:" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "f5fd562a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax1, ax2 = create_plot(av1=[0, 10], av2=[0, 2000])\n", + "ax1.plot(d.time(), d['amp.Vp'])\n", + "ax2.plot(d.time(), d['amp.I_obs'])\n", + "ins = ax2.inset_axes((0.4, 0.15, 0.3, 0.4))\n", + "ins.plot(d.time(), d['amp.I_obs'])\n", + "ins.set_xlim(4.998, 5.001)\n", + "ins.set_ylim(-100, 400)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "82b7d4ad", + "metadata": {}, + "source": [ + "On the left, we see that the pipette voltage follows the command voltage rapidly.\n", + "\n", + "On the right, we see a current of either 0 or 10mV / 5MOhm = 2nA.\n", + "It rises and falls rapidly, hindered only by the charging of $C_f$.\n", + "A very slight dip can be seen just before the voltage increase, as $V_c$ briefly exceeds $V_o$ before the amplifier rapidly catches up.\n", + "Note that we do not yet see strong capacitative transients at this point." + ] + }, + { + "cell_type": "markdown", + "id": "025815c4", + "metadata": {}, + "source": [ + "### Intermezzo: Why aren't the edges quite straight?\n", + "\n", + "We can check that $R_fC_f$ dictates the steepness of the current response by increasing $C_f$:" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "70cc2971", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "s.reset()\n", + "s.set_constant('amp.Cf', 1)\n", + "d = s.run(20, log_interval=1e-3)\n", + "s.set_constant('amp.Cf', 0.15)\n", + "\n", + "fig, ax1, ax2 = create_plot(av1=(0, 10), av2=(0, 2000))\n", + "ax1.plot(d.time(), d['amp.Vp'], color='gray', label='Cf changed')\n", + "ax2.plot(d.time(), d['amp.I_obs'], color='gray')\n", + "ax1.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "b7280755", + "metadata": {}, + "source": [ + "Note that we see a significant change to the current, but the voltage is mostly unaffected.\n", + "By contrast, if we use a slower measuring op-amp, both signals show a delay:" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "c6eb2ece", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "s.reset()\n", + "\n", + "s.set_constant('amp.tau_amp', 1e-2)\n", + "d = s.run(20, log_interval=1e-3)\n", + "s.set_constant('amp.tau_amp', 20e-6)\n", + "\n", + "fig, ax1, ax2 = create_plot(av1=(0, 10), av2=(0, 2000))\n", + "ax1.plot(d.time(), d['amp.Vp'], color='gray', label='Cf unchanged, $\\\\tau_{amp}$ changed')\n", + "ax2.plot(d.time(), d['amp.I_obs'], color='gray')\n", + "ax1.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "acb8da06", + "metadata": {}, + "source": [ + "## Touching the cell\n", + "\n", + "Now, we gently move the pipette against the cell membrane.\n", + "This blocks the pipette opening, increasing the access resistance greatly.\n", + "We'll assume it goes up to 200MOhm, and use the same model as above." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "93227a73", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "s.reset()\n", + "s.set_constant('amp.Rs', 0.2)\n", + "d = s.run(20, log_interval=1e-3)\n", + "fig, ax1, ax2 = create_plot(av1=[0, 10], av2=[0])\n", + "ax1.plot(d.time(), d['amp.Vp'])\n", + "ax2.plot(d.time(), d['amp.I_obs'])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "e7f2cb7d", + "metadata": {}, + "source": [ + "With this new high resistance, the fast-capacitance artefacts become clearly visible." + ] + }, + { + "cell_type": "markdown", + "id": "55363988", + "metadata": {}, + "source": [ + "## A giga-ohm seal\n", + "\n", + "We apply more virtual suction, and create a giga-ohm seal. Let's use 2GOhm." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "a9f59f21", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax1, ax2 = create_plot(av1=[0, 10], av2=[0, 2000])\n", + "for Rs in np.geomspace(5e-3, 2, 20):\n", + " s.reset()\n", + " s.set_constant('amp.Rs', Rs)\n", + " d = s.run(20, log_interval=1e-3)\n", + " ax2.plot(d.time(), d['amp.I_obs'], color=blue(0.1 + 0.9 * (Rs / 2)**0.4))\n", + "ax1.plot(d.time(), d['amp.Vp'])\n", + "ax2.plot(d.time(), d['amp.I_obs'], color='tab:blue')\n", + "ax2.text(12, 500, 'Weeee!', rotation=30)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "6ccc513e", + "metadata": {}, + "source": [ + "## Fast transient cancellation\n", + "\n", + "At this point we zoom in a bit, and get ready to switch the fast capacitance compensation on." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "f767e477", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax1, ax2 = create_plot(av1=[0, 10], av2=[0])\n", + "ax1.plot(d.time(), d['amp.Vp'])\n", + "ax2.plot(d.time(), d['amp.I_obs'])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "6503522a", + "metadata": {}, + "source": [ + "To do this, we need to add in the fast capacitance filtering, as well as the filtered $V_\\text{ref}$ it takes as input." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "142c4375", + "metadata": {}, + "outputs": [], + "source": [ + "m = myokit.parse_model('''\n", + "[[model]]\n", + "amp.Vp = 0\n", + "amp.Vo = 0\n", + "amp.Vr = 0\n", + "\n", + "[engine]\n", + "time = 0 [ms] in [ms] bind time\n", + "pace = 0 bind pace\n", + "\n", + "[amp]\n", + "Rs = 2 [GOhm] in [GOhm]\n", + "Cp = 5 [pF] in [pF]\n", + "Cp_est = 5 [pF] in [pF]\n", + "Rf = 0.5 [GOhm] in [GOhm]\n", + "Cf = 0.15 [pF] in [pF]\n", + "tau_amp = 20e-6 [ms] in [ms]\n", + "tau_sum = 10e-3 [ms] in [ms]\n", + "I = 0 [pA] in [pA]\n", + "Vc = engine.pace * 1 [mV]\n", + " in [mV]\n", + "dot(Vp) = ((Vo - Vp) / Rf - Vp / Rs + Cf * dot(Vo) + Cp_est * dot(Vr)) / (Cf + Cp)\n", + " in [mV]\n", + "dot(Vo) = (Vr - Vp) / tau_amp\n", + " in [mV]\n", + "dot(Vr) = (Vc - Vr) / tau_sum\n", + " in [mV]\n", + "I_obs = (Vo - Vc) / Rf\n", + " in [pA] \n", + "''')\n", + "m.check_units(myokit.UNIT_STRICT)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "63c0bc13", + "metadata": {}, + "outputs": [], + "source": [ + "s = myokit.Simulation(m, p)\n", + "s.pre(4)" + ] + }, + { + "cell_type": "markdown", + "id": "b06d0e5c", + "metadata": {}, + "source": [ + "Because it's hard to pick just one zoom level, we will show $I_\\text{obs}$ both left and right!" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "92bc8b4e", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax1, ax2 = create_plot(av1=[0, 10], av2=[0], label1='Iobs (pA)')\n", + "for Cp_est in np.linspace(0, 5, 10):\n", + " s.reset()\n", + " s.set_constant('amp.Cp_est', Cp_est)\n", + " d = s.run(20, log_interval=1e-4).npview()\n", + " ax1.plot(d.time(), d['amp.I_obs'], color=blue(0.1 + 0.9 * Cp_est / 5))\n", + " if Cp_est == 0:\n", + " ax2.plot(d.time(), d['amp.I_obs'], color=blue(0.5))\n", + "ax1.set_xlim(4.96, 5.2)\n", + "ax1.set_ylim(-50, 520)\n", + "ax1.text(5.12, 150, 'Down it goes!', rotation=-35)\n", + "ax2.plot(d.time(), d['amp.I_obs'], color=blue(1))\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "d06988f9", + "metadata": {}, + "source": [ + "The end result looks something like this:" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "e0b31f48", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax1, ax2 = create_plot(av1=[0, 10], av2=[0])\n", + "ax1.plot(d.time(), d['amp.Vp'])\n", + "ax2.plot(d.time(), d['amp.I_obs'])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "f0a6e7b7", + "metadata": {}, + "source": [ + "### Intermezzo: What's left is not a capacitance artefact\n", + "\n", + "The remaining spikes are not due to the parasitic capacitance, but arise because of the different delays in the amplifier.\n", + "We can show this in the simulation by setting $C_p$ and its estimate $C_p^*$ to 0." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "28cae80e", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "s.reset()\n", + "s.set_constant('amp.Cp', 0)\n", + "s.set_constant('amp.Cp_est', 0)\n", + "d = s.run(20, log_interval=1e-4).npview()\n", + "\n", + "fig, ax1, ax2 = create_plot(av1=[0, 10], av2=[0])\n", + "ax1.plot(d.time(), d['amp.Vp'], color='gray')\n", + "ax2.plot(d.time(), d['amp.I_obs'], color='gray')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "a752deab", + "metadata": {}, + "source": [ + "### Intermezzo: Noise and filtering\n", + "\n", + "If this doesn't look very familiar, it may be because we haven't simulated any noise..." + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "9a55ff5b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "s.reset()\n", + "s.set_constant('amp.Cp', 5)\n", + "s.set_constant('amp.Cp_est', 5)\n", + "d = s.run(20, log_interval=0.1).npview() # Sample at 10 kHz\n", + "\n", + "t = d.time()\n", + "vp = d['amp.Vp'] + np.random.normal(0, 1, t.shape)\n", + "iobs = d['amp.I_obs'] + np.random.normal(0, 20, t.shape)\n", + "\n", + "fig, ax1, ax2 = create_plot(\n", + " label1='Vp with $\\sigma=1mV$ noise, unfiltered',\n", + " label2='Iobs with $\\sigma=20pA$ noise, unfiltered')\n", + "ax1.plot(t, vp, color='gray')\n", + "ax2.plot(t, iobs, color='gray')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "4cf9e09f", + "metadata": {}, + "source": [ + "Of course, we didn't simulate any filtering either..." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "17a417dd", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Simulate, with sampling at 100kHz\n", + "s.reset()\n", + "d = s.run(20, log_interval=0.01).npview()\n", + "\n", + "# Add noise\n", + "t = d.time()\n", + "vp = d['amp.Vp'] + np.random.normal(0, 1, t.shape)\n", + "iobs = d['amp.I_obs'] + np.random.normal(0, 20, t.shape)\n", + "\n", + "# Filter it out again\n", + "import scipy.signal\n", + "\n", + "def low_pass(data, w, f, n=3):\n", + " \"\"\" Apply an order-n Bessel low-pass filter with cut-off w (in Hz). \"\"\"\n", + " w = w / (f / 2)\n", + " b, a = scipy.signal.bessel(n, w, btype='lowpass')\n", + " return scipy.signal.filtfilt(b, a, data)\n", + "\n", + "dt = 0.01\n", + "f = 1 / dt # Sampling frequency, in kHz\n", + "w = 10 # Cut-off frequency, in kHz\n", + "\n", + "fig, ax1, ax2 = create_plot(label1='Vp, filtered', label2='Iobs, filtered')\n", + "ax2.set_ylim(-80, 80)\n", + "ax1.plot(t, low_pass(vp, w, f, 6), color='gray')\n", + "ax2.plot(t, low_pass(iobs, w, f, 6), color='gray')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "ef6be77d", + "metadata": {}, + "source": [ + "We these additions, the step response looks a lot more like a straight line." + ] + }, + { + "cell_type": "markdown", + "id": "0b16aa44", + "metadata": {}, + "source": [ + "## Breaking the seal: access to the cell\n", + "\n", + "Next, we break the seal and gain access to the cell.\n", + "To simulate this, we need the full model.\n", + "\n", + "To make it a bit more interesting, we'll add a model cell with a membrane resistance of 500M$\\Omega$ and a capacitance of 25 pF." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "bf3e93fa", + "metadata": {}, + "outputs": [], + "source": [ + "m = myokit.parse_model('''\n", + "[[model]]\n", + "amp.Vm = -80\n", + "amp.Vp = -80\n", + "amp.Vo = -80\n", + "amp.Ve = -80\n", + "amp.Vr = -80\n", + "\n", + "[engine]\n", + "time = 0 [ms] in [ms] bind time\n", + "pace = 0 bind pace\n", + "\n", + "[amp]\n", + "alpha = 0\n", + "beta = 0\n", + "Rs = 15e-3 [GOhm] in [GOhm]\n", + "Rs_est = 15e-3 [GOhm] in [GOhm]\n", + "Rm = 0.5 [GOhm] in [GOhm]\n", + "Cm = 25 [pF] in [pF]\n", + "Cm_est = 0 [pF] in [pF]\n", + "Cp = 5 [pF] in [pF]\n", + "Cp_est = 5 [pF] in [pF]\n", + "Rf = 0.5 [GOhm] in [GOhm]\n", + "Cf = 0.15 [pF] in [pF]\n", + "tau_amp = 20e-6 [ms] in [ms]\n", + "tau_sum = 10e-3 [ms] in [ms]\n", + "tau_est = if(val < 1e-8 [ms], 1e-8 [ms], val)\n", + " in [ms]\n", + " val = (1 - beta) * Rs_est * Cm_est\n", + " in [ms]\n", + "I = Vm / Rm\n", + " in [pA]\n", + "Vc = engine.pace * 1 [mV]\n", + " in [mV]\n", + "dot(Vm) = (Vp - Vm) / (Rs * Cm) - I / Cm\n", + " in [mV]\n", + "dot(Vp) = ((Vo - Vp) / Rf - (Vp - Vm) / Rs +\n", + " Cf * dot(Vo) + Cm_est * dot(Ve) + Cp_est * dot(Vr)\n", + " ) / (Cp + Cf)\n", + " in [mV]\n", + "dot(Vo) = (Vr - Vp) / tau_amp\n", + " in [mV]\n", + "dot(Ve) = (Vc - Ve) / tau_est\n", + " in [mV]\n", + "dot(Vr) = (Vc + alpha * Rs_est * I_obs + beta * Rs_est * Cm_est * dot(Ve) - Vr) / tau_sum\n", + " in [mV]\n", + "I_obs = (Vo - Vr) / Rf\n", + " in [pA]\n", + "''')\n", + "m.check_units(myokit.UNIT_STRICT)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "9ddfca40", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "s = myokit.Simulation(m, p)\n", + "s.pre(5)\n", + "d = s.run(20, log_interval=0.1).npview()\n", + "\n", + "fig, ax1, ax2 = create_plot('Vm (mV)', av1=[0, 10], av2=[0])\n", + "ax1.plot(d.time(), d['amp.Vm'])\n", + "ax2.plot(d.time(), d['amp.I_obs'])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "0fd3030b", + "metadata": {}, + "source": [ + "Boom! We see large capacitative artefacts in the current signal.\n", + "\n", + "On the left, we've switched from plotting $V_p$ to plotting $V_m$.\n", + "Note that neither is available in a real experiment." + ] + }, + { + "cell_type": "markdown", + "id": "46499b23", + "metadata": {}, + "source": [ + "## Slow capacitance cancellation\n", + "\n", + "Although we see minor oscillations, we resist the urge to mess with the fast transient cancellation at this point, and move on to the slow capacitance cancellation." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "d2373c35", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax1, ax2 = create_plot('Vm (mV)', av1=[0, 10], av2=[0, 2000])\n", + "for Cm_est in np.geomspace(1, 26, 20) - 1:\n", + " s.reset()\n", + " s.set_constant('amp.Cm_est', Cm_est)\n", + " s.pre(5)\n", + " d = s.run(20, log_interval=1e-3) \n", + " ax2.plot(d.time(), d['amp.I_obs'], color=blue(0.1 + 0.9 * (Cm_est / 25)**2))\n", + "ax1.plot(d.time(), d['amp.Vm'])\n", + "ax2.set_ylim(-100, 300)\n", + "ax2.text(9, 40, 'Looking good!', rotation=3)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "665cd729", + "metadata": {}, + "source": [ + "Let's adjust the zoom and look at the result:" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "11a04dfa", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax1, ax2 = create_plot('Vm (mV)', av1=[0, 10], av2=[0])\n", + "ax1.plot(d.time(), d['amp.Vm'])\n", + "ax2.plot(d.time(), d['amp.I_obs'])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "f867f790", + "metadata": {}, + "source": [ + "At this point, we might want to slightly under-correct the signal:" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "cc768289", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "s.reset()\n", + "s.set_constant('amp.Cm_est', 24.3)\n", + "s.pre(5)\n", + "d = s.run(20, log_interval=1e-3) \n", + "\n", + "fig, ax1, ax2 = create_plot('Vm (mV)', av1=[0, 10], av2=[0])\n", + "ax1.plot(d.time(), d['amp.Vm'])\n", + "ax2.plot(d.time(), d['amp.I_obs'])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "90a15712", + "metadata": {}, + "source": [ + "## Series resistance correction\n", + "\n", + "Having set $C_m^*$, we move on to series resistance correction." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "832083d1", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d9cb0f74", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "96e0dbc4", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "5551ef2f", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "30dd5a84", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "abf82a39", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "28c3f611", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a3aa0c99", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "9c29c550", + "metadata": {}, + "source": [] + }, + { + "cell_type": "markdown", + "id": "4e957331", + "metadata": {}, + "source": [ + "## Conclusion" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.2" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/artefacts/artefacts-5-simplified.ipynb b/artefacts/artefacts-5-simplified.ipynb new file mode 100644 index 0000000..8c29a8b --- /dev/null +++ b/artefacts/artefacts-5-simplified.ipynb @@ -0,0 +1,1092 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "cf0eda98", + "metadata": {}, + "source": [ + "# Modelling patch-clamp experiments: simplified models\n", + "\n", + "In the previous notebooks we presented a model of patch-clamp experiments.\n", + "Here, we explore how it can be simplified for parameter estimation purposes.\n", + "\n", + "We start from the main schematic and equations (but omitting leak and voltage offset for simplicity)." + ] + }, + { + "cell_type": "markdown", + "id": "18a35d71", + "metadata": {}, + "source": [ + "\n", + "\n", + "_**Figure 1**: The full patch-clamp schematic_" + ] + }, + { + "cell_type": "markdown", + "id": "15d7b73b", + "metadata": {}, + "source": [ + "We derived two models: **(1, 2a, 3a, 4, 5, 6a)** and **(1, 2b, 3b, 4, 5, 6b)**.\n", + "\n", + "\\begin{align}\n", + "2.1. && C_m\\dot{V}_m = \\frac{V_p - V_m}{R_s} - I\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "2.2a. && (C_p+C_f)\\dot{V}_p &= \\frac{V_o - V_p}{R_f} - \\frac{V_p - V_m}{R_s} + C_f\\dot{V}_o + C_m^* \\dot{V}_\\text{est} + C_p^* \\dot{V}_\\text{ref} \\\\\n", + "2.2b. && C_f\\dot{V}_o &= \\frac{V_p-V_o}{R_f} + \\frac{V_p-V_m}{R_s} + \\left(C_p+C_f\\right)\\dot{V}_p - C_m^* \\dot{V}_\\text{est} - C_p^* \\dot{V}_\\text{ref}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "2.3a. && \\tau_a \\dot{V}_o &= V_\\text{ref} - V_p \\\\\n", + "2.3b. && \\tau_c\\dot{V}_p &= V_\\text{ref} - V_p\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "2.4. && \\dot{V}_\\text{est} &= \\frac{V_c - V_\\text{est}}{(1 - \\beta)R_s^*C_m^*} \n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "2.5. && \\tau_\\text{sum}\\dot{V}_\\text{ref} = V_c + \\alpha R_s^* I_\\text{obs} + \\beta R_s^* C_m^* \\dot{V}_\\text{est} - V_\\text{ref}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "2.6a. && R_f I_\\text{obs} &= V_o - V_\\text{ref} \\\\\n", + "2.6b. && R_f I_\\text{obs} &= V_o - V_p\n", + "\\end{align}\n", + "\n", + "where 2.2a and 2.2b are different ways to express the same relation, so that the models only differ in equations 2.3 and 2.6." + ] + }, + { + "cell_type": "markdown", + "id": "c80d70be", + "metadata": {}, + "source": [ + "## Op-amp speed\n", + "\n", + "To derive a simplified \"Sigworth-style\" model, we omit op-amp equation 2.3a, and switch from 2.2a to 2.2b as an equation for $V_o$.\n", + "Next, we set $V_p = V_\\text{ref}$ and $\\dot{V}_p = \\dot{V}_\\text{ref}$ to find\n", + "\n", + "\\begin{align}\n", + "3.1. && C_m\\dot{V}_m = \\frac{V_\\text{ref} - V_m}{R_s} - I\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "3.2. && C_f\\dot{V}_o &= \\frac{V_\\text{ref} - V_m}{R_s} - \\frac{V_o - V_\\text{ref}}{R_f} + \\left(C_f+C_p- C_p^*\\right)\\dot{V}_\\text{ref} - C_m^* \\dot{V}_\\text{est}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "3.3. && \\dot{V}_\\text{est} &= \\frac{V_c - V_\\text{est}}{(1 - \\beta)R_s^*C_m^*} \n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "3.4. && \\tau_\\text{sum}\\dot{V}_\\text{ref} = V_c + \\alpha R_s^* I_\\text{obs} + \\beta R_s^* C_m^* \\dot{V}_\\text{est} - V_\\text{ref}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "3.5. && R_f I_\\text{obs} &= V_o - V_\\text{ref}\n", + "\\end{align}\n", + "\n", + "Equivalently, we can start from the \"Lei-style\" model, omit 2.3b, and equate $V_p$ with $V_\\text{ref}$ to find the same model. " + ] + }, + { + "cell_type": "markdown", + "id": "a3b74e15", + "metadata": {}, + "source": [ + "The new form of equation 2 makes it interpretable:\n", + "\n", + "\\begin{align}\n", + "C_f\\dot{V}_o &= \\frac{V_\\text{ref} - V_m}{R_s} - \\frac{V_o - V_\\text{ref}}{R_f} + \\left(C_f+C_p- C_p^*\\right)\\dot{V}_\\text{ref} - C_m^* \\dot{V}_\\text{est}\n", + "\\end{align}\n", + "\n", + "1. In steady-state, the first two terms must cancel each other out, so stability is reached when the voltage drop over $R_s$ equals the voltage drop over $R_f$.\n", + "2. If $V_\\text{ref}$ goes up (or $V_m$ goes down), the derivative will become positive so that $V_o$ will grow until a new equilibrium is reached.\n", + "3. The final two terms cause transient capacitative spikes any time $V_\\text{ref}$ or $V_\\text{est}$ change, and the effects of $C_p$ are cancelled out by $C_p^*$." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "a6385fdd", + "metadata": {}, + "outputs": [], + "source": [ + "import myokit\n", + "\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "2b4d23f7", + "metadata": {}, + "outputs": [], + "source": [ + "mAs = myokit.parse_model('''\n", + "[[model]]\n", + "desc: Simplified model\n", + "amp.Vm = -80\n", + "amp.Vo = -80\n", + "amp.Ve = -80\n", + "amp.Vr = -80\n", + "\n", + "[engine]\n", + "time = 0 [ms] in [ms] bind time\n", + "pace = 0 bind pace\n", + "\n", + "[amp]\n", + "alpha = 0.7\n", + "beta = 0.7\n", + "Rs = 15e-3 [GOhm] in [GOhm]\n", + "Rs_est = 14e-3 [GOhm] in [GOhm]\n", + "Cm = 25 [pF] in [pF]\n", + "Cm_est = 24 [pF] in [pF]\n", + "Cp = 5 [pF] in [pF]\n", + "Cp_est = 4.9 [pF] in [pF]\n", + "Rf = 0.5 [GOhm] in [GOhm]\n", + "Cf = 0.15 [pF] in [pF]\n", + "tau_sum = 10e-3 [ms] in [ms]\n", + "I = 10 [nS] * Vm\n", + " in [pA]\n", + "Vc = engine.pace * 1 [mV]\n", + " in [mV]\n", + "dot(Vm) = (Vr - Vm) / (Rs * Cm) - I / Cm\n", + " in [mV]\n", + "dot(Vo) = ((Vr - Vm) / Rs - (Vo - Vr) / Rf +\n", + " (Cf + Cp - Cp_est) * dot(Vr) - Cm_est * dot(Ve)\n", + " ) / Cf\n", + " in [mV]\n", + "dot(Ve) = (Vc - Ve) / ((1 - beta) * Rs_est * Cm_est)\n", + " in [mV]\n", + "dot(Vr) = (Vc + alpha * Rs_est * I_obs + beta * Rs_est * Cm_est * dot(Ve) - Vr) / tau_sum\n", + " in [mV]\n", + "I_obs = (Vo - Vr) / Rf\n", + " in [pA]\n", + "''')\n", + "mAs.check_units(myokit.UNIT_STRICT)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "234267e9", + "metadata": {}, + "outputs": [], + "source": [ + "mA = myokit.parse_model('''\n", + "[[model]]\n", + "desc: Compensated model (1, 2a, 3a, 4, 5, 6a)\n", + "amp.Vm = -80\n", + "amp.Vp = -80\n", + "amp.Vo = -80\n", + "amp.Ve = -80\n", + "amp.Vr = -80\n", + "\n", + "[engine]\n", + "time = 0 [ms] in [ms] bind time\n", + "pace = 0 bind pace\n", + "\n", + "[amp]\n", + "alpha = 0.7\n", + "beta = 0.7\n", + "Rs = 15e-3 [GOhm] in [GOhm]\n", + "Rs_est = 14e-3 [GOhm] in [GOhm]\n", + "Cm = 25 [pF] in [pF]\n", + "Cm_est = 24 [pF] in [pF]\n", + "Cp = 5 [pF] in [pF]\n", + "Cp_est = 4.9 [pF] in [pF]\n", + "Rf = 0.5 [GOhm] in [GOhm]\n", + "Cf = 0.15 [pF] in [pF]\n", + "tau_amp = 20e-6 [ms] in [ms]\n", + "tau_sum = 10e-3 [ms] in [ms]\n", + "I = 10 [nS] * Vm\n", + " in [pA]\n", + "Vc = engine.pace * 1 [mV]\n", + " in [mV]\n", + "dot(Vm) = (Vp - Vm) / (Rs * Cm) - I / Cm : Eq 1\n", + " in [mV]\n", + "dot(Vp) = ((Vo - Vp) / Rf - (Vp - Vm) / Rs +\n", + " Cf * dot(Vo) + Cm_est * dot(Ve) + Cp_est * dot(Vr)\n", + " ) / (Cp + Cf) : Eq 2a\n", + " in [mV]\n", + "dot(Vo) = (Vr - Vp) / tau_amp : Eq 3a\n", + " in [mV]\n", + "dot(Ve) = (Vc - Ve) / ((1 - beta) * Rs_est * Cm_est) : Eq 4\n", + " in [mV]\n", + "dot(Vr) = (Vc + alpha * Rs_est * I_obs + beta * Rs_est * Cm_est * dot(Ve) - Vr) / tau_sum : Eq 5\n", + " in [mV]\n", + "I_obs = (Vo - Vr) / Rf : Eq 6a\n", + " in [pA]\n", + "''')\n", + "mA.check_units(myokit.UNIT_STRICT)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "c90994d8", + "metadata": {}, + "outputs": [], + "source": [ + "vlo, vhi = -80, 20\n", + "p = myokit.Protocol()\n", + "p.add_step(level=vlo, duration=5)\n", + "p.add_step(level=vhi, duration=15)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "fb62b0df", + "metadata": {}, + "outputs": [], + "source": [ + "def axs(fig, sub=(1, 1, 1), xlabel='Time (ms)', ylabel=''):\n", + " ax = fig.add_subplot(*sub)\n", + " ax.set_xlabel(xlabel)\n", + " ax.set_ylabel(ylabel)\n", + " return ax\n", + "\n", + "def ins(ax, loc=(0.05, 0.28, 0.40, 0.65)):\n", + " ins = ax.inset_axes(loc)\n", + " ins.set_yticklabels([])\n", + " ins.set_xlim(t1, t2)\n", + " ins.patch.set_alpha(0.5) \n", + " return ins\n", + "\n", + "def plot(d, t1, t2, axes=None, label=None, ls=None):\n", + " if axes is None:\n", + " fig = plt.figure(figsize=(15, 12))\n", + " \n", + " ax1 = axs(fig, (3, 2, 1), 'Vm (mV)')\n", + " ax2 = axs(fig, (3, 2, 2), 'Vp (mV)')\n", + " ax3 = axs(fig, (3, 2, 3), 'Vest (mV)')\n", + " ax4 = axs(fig, (3, 2, 4), 'Vo (mV)')\n", + " ax5 = axs(fig, (3, 2, 5), 'Vref (mV)')\n", + " ax6 = axs(fig, (3, 2, 6), 'Iobs (mV)')\n", + " in1, in2 = ins(ax1), ins(ax2)\n", + " in4, in5, in6 = ins(ax4), ins(ax5), ins(ax6)\n", + " in1.set_xlim(5, 10)\n", + " in1.set_ylim(10, 23)\n", + " in5.set_ylim(-30, 60)\n", + "\n", + " ax1.axhline(-80, color='#999', ls='--', lw=1)\n", + " ax1.axhline(20, color='#999', ls='--', lw=1)\n", + " else:\n", + " [ax1, ax2, ax3, ax4, ax5, ax6, in1, in2, in4, in5, in6] = axes\n", + " \n", + " ax1.plot(d.time(), d['amp.Vm'], label=label, ls=ls)\n", + " in1.plot(d.time(), d['amp.Vm'], label=label, ls=ls)\n", + " if 'amp.Vp' in d:\n", + " ax2.plot(d.time(), d['amp.Vp'], ls=ls)\n", + " in2.plot(d.time(), d['amp.Vp'], ls=ls)\n", + " ax3.plot(d.time(), d['amp.Ve'], ls=ls)\n", + " if 'amp.Vo' in d:\n", + " ax4.plot(d.time(), d['amp.Vo'], ls=ls)\n", + " in4.plot(d.time(), d['amp.Vo'], ls=ls)\n", + " ax5.plot(d.time(), d['amp.Vr'], ls=ls)\n", + " in5.plot(d.time(), d['amp.Vr'], ls=ls)\n", + " ax6.plot(d.time(), d['amp.I_obs'], ls=ls)\n", + " in6.plot(d.time(), d['amp.I_obs'], ls=ls)\n", + " \n", + " return [ax1, ax2, ax3, ax4, ax5, ax6, in1, in2, in4, in5, in6]" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "7b821a0a", + "metadata": {}, + "outputs": [], + "source": [ + "tol = 1e-8\n", + "\n", + "t0 = 10\n", + "t1 = 4.9\n", + "t2 = 6\n", + "\n", + "sA = myokit.Simulation(mA, p)\n", + "sA.set_tolerance(tol, tol)\n", + "\n", + "sAs = myokit.Simulation(mAs, p)\n", + "sAs.set_tolerance(tol, tol)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "e77c62b8", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sA.set_constant('amp.alpha', 0) # No correction\n", + "sA.set_constant('amp.beta', 0) # No prediction\n", + "\n", + "sAs.set_constant('amp.alpha', 0) # No correction\n", + "sAs.set_constant('amp.beta', 0) # No prediction\n", + "\n", + "sA.pre(t1)\n", + "sAs.pre(t1)\n", + "dA = sA.run(t0)\n", + "dAs = sAs.run(t0)\n", + "ax = plot(dA, t1, t2, label='Original')\n", + "ax = plot(dAs, t1, t2, label=r'Without $\\tau_{amp}$', ls='--', axes=ax)\n", + "ax[0].legend(loc='lower right')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "5e5f534b-aa58-4d34-81f0-e8f5d04b9bf9", + "metadata": {}, + "source": [ + "And with compensation/prediction enabled:" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "9bfa168d", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "for s in (sA, sAs):\n", + " s.reset()\n", + " s.set_constant('amp.alpha', 0.7)\n", + " s.set_constant('amp.beta', 0.7)\n", + " s.set_tolerance(1e-10, 1e-10)\n", + " s.pre(t1)\n", + "\n", + "dt = 1e-3\n", + "dA = sA.run(t0)\n", + "dAs = sAs.run(t0)\n", + "\n", + "tz = 0.05\n", + "ax = plot(dA, t1, t2, label='Original')\n", + "ax = plot(dAs, t1, t2, ax, label=r'Without $\\tau_{amp}$', ls='--')\n", + "ax[0].legend(loc='lower right')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "d10d4afd", + "metadata": {}, + "source": [ + "Both simulations look very similar indeed!\n", + "\n", + "We can experiment a little to see at which values of $\\tau_\\text{amp}$ we might expect a difference (with all other parameter unchanged):" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "195a25d1", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ax = plot(dA, t1, t2, label=str(1e-6))\n", + "\n", + "for tau in (1e-5, 1e-4, 1e-3, 1e-2):\n", + " sA.reset()\n", + " sA.set_constant('amp.tau_amp', tau)\n", + " sA.pre(t1)\n", + " d = sA.run(t0)\n", + " plot(d, t1, t2, ax, label=str(tau), ls='--')\n", + "\n", + "ax[0].legend(loc='lower right') \n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "97597af7", + "metadata": {}, + "source": [ + "This shows that we need to go up several orders of magnitude before $\\tau_\\text{amp}$ has a significant impact on this experiment." + ] + }, + { + "cell_type": "markdown", + "id": "a710185e", + "metadata": {}, + "source": [ + "## Fast capacitance\n", + "\n", + "In the above equations, the only appearance of the \"fast\" capacitance $C_p$ is in the term\n", + "\n", + "\\begin{align}\n", + "\\left(C_f + C_p - C_p^*\\right)\\dot{V}_\\text{ref}\n", + "\\end{align}\n", + "\n", + "If we assume that\n", + "\n", + "1. $C_p$ is well matched by $C_p^*$\n", + "2. The duration of the remaining artefact is too short to affect most ionic currents\n", + "\n", + "then it might make sense to omit the $C_p - C_p^*$ term entirely, and remove one parameter to be estimated from the system.\n", + "\n", + "A second reason why this might be a good idea is how the contribution of $C_p$ and $C_p^*$ shows up in the observable output $I_\\text{obs}$.\n", + "Here, it takes the form of two exponentials of a very large magnitude, but with opposite signs and highly similar time constants.\n", + "Remembering that the use of a single $C_p$ was an approximation to represent several capacitative effects, it seems very unlikely that our model could fit the fast-capacitance part of our observations well." + ] + }, + { + "cell_type": "markdown", + "id": "7fc4d4a7", + "metadata": {}, + "source": [ + "With this reasoning, we can propose a 4th model, specifically for use in parameter estimation of currents expected to have much slower dynamics than the fast capacitative transients.\n", + "\n", + "\\begin{align}\n", + "3.2b. && C_f\\dot{V}_o &= \\frac{V_\\text{ref} - V_m}{R_s} - \\frac{V_o - V_\\text{ref}}{R_f} + C_f \\dot{V}_\\text{ref} - C_m^* \\dot{V}_\\text{est}\n", + "\\end{align}" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "98880e36", + "metadata": {}, + "outputs": [], + "source": [ + "mBs = myokit.parse_model('''\n", + "[[model]]\n", + "desc: Simplified model without Cp and Cp_est\n", + "amp.Vm = -80\n", + "amp.Vo = -80\n", + "amp.Ve = -80\n", + "amp.Vr = -80\n", + "\n", + "[engine]\n", + "time = 0 [ms] in [ms] bind time\n", + "pace = 0 bind pace\n", + "\n", + "[amp]\n", + "alpha = 0.7\n", + "beta = 0.7\n", + "Rs = 15e-3 [GOhm] in [GOhm]\n", + "Rs_est = 14e-3 [GOhm] in [GOhm]\n", + "Cm = 25 [pF] in [pF]\n", + "Cm_est = 24 [pF] in [pF]\n", + "Rf = 0.5 [GOhm] in [GOhm]\n", + "Cf = 0.15 [pF] in [pF]\n", + "tau_sum = 10e-3 [ms] in [ms]\n", + "I = 10 [nS] * Vm\n", + " in [pA]\n", + "Vc = engine.pace * 1 [mV]\n", + " in [mV]\n", + "dot(Vm) = (Vr - Vm) / (Rs * Cm) - I / Cm\n", + " in [mV]\n", + "dot(Vo) = ((Vr - Vm) / Rs - (Vo - Vr) / Rf + Cf * dot(Vr) - Cm_est * dot(Ve)) / Cf\n", + " in [mV]\n", + "dot(Ve) = (Vc - Ve) / ((1 - beta) * Rs_est * Cm_est)\n", + " in [mV]\n", + "dot(Vr) = (Vc + alpha * Rs_est * I_obs + beta * Rs_est * Cm_est * dot(Ve) - Vr) / tau_sum\n", + " in [mV]\n", + "I_obs = (Vo - Vr) / Rf\n", + " in [pA]\n", + "''')\n", + "mBs.check_units(myokit.UNIT_STRICT)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "7bbe5119", + "metadata": {}, + "outputs": [], + "source": [ + "sAs = myokit.Simulation(mAs, p)\n", + "sAs.set_tolerance(tol, tol)\n", + "sBs = myokit.Simulation(mBs, p)\n", + "sBs.set_tolerance(tol, tol)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "9c7a03b0", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sAs.pre(t1)\n", + "sBs.pre(t1)\n", + "dAs = sAs.run(t0)\n", + "dBs = sBs.run(t0)\n", + "ax = plot(dAs, t1, t2, label=r'Without $\\tau_{amp}$')\n", + "ax = plot(dBs, t1, t2, ls='--', axes=ax, label=r'Without $\\tau_{amp}$ or $C_p$')\n", + "ax[0].legend(loc='lower right')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "208ccd64", + "metadata": {}, + "source": [ + "Similarly, we might chose to omit the term $C_f \\dot{V}_\\text{ref}$, although note that we still need to maintain $C_f$ in the model for its role in determining the time constants $R_fC_f$ and $R_sC_f$ of the first terms." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "bb7dd063", + "metadata": {}, + "outputs": [], + "source": [ + "mCs = myokit.parse_model('''\n", + "[[model]]\n", + "desc: Simplified model without Cp and Cp_est, and omitting the \"spike\" from Cf\n", + "amp.Vm = -80\n", + "amp.Vo = -80\n", + "amp.Ve = -80\n", + "amp.Vr = -80\n", + "\n", + "[engine]\n", + "time = 0 [ms] in [ms] bind time\n", + "pace = 0 bind pace\n", + "\n", + "[amp]\n", + "alpha = 0.7\n", + "beta = 0.7\n", + "Rs = 15e-3 [GOhm] in [GOhm]\n", + "Rs_est = 14e-3 [GOhm] in [GOhm]\n", + "Cm = 25 [pF] in [pF]\n", + "Cm_est = 24 [pF] in [pF]\n", + "Rf = 0.5 [GOhm] in [GOhm]\n", + "Cf = 0.15 [pF] in [pF]\n", + "tau_sum = 10e-3 [ms] in [ms]\n", + "I = 10 [nS] * Vm\n", + " in [pA]\n", + "Vc = engine.pace * 1 [mV]\n", + " in [mV]\n", + "dot(Vm) = (Vr - Vm) / (Rs * Cm) - I / Cm\n", + " in [mV]\n", + "dot(Vo) = ((Vr - Vm) / Rs - (Vo - Vr) / Rf - Cm_est * dot(Ve)) / Cf\n", + " in [mV]\n", + "dot(Ve) = (Vc - Ve) / ((1 - beta) * Rs_est * Cm_est)\n", + " in [mV]\n", + "dot(Vr) = (Vc + alpha * Rs_est * I_obs + beta * Rs_est * Cm_est * dot(Ve) - Vr) / tau_sum\n", + " in [mV]\n", + "I_obs = (Vo - Vr) / Rf\n", + " in [pA]\n", + "''')\n", + "mCs.check_units(myokit.UNIT_STRICT)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "8f889575", + "metadata": {}, + "outputs": [], + "source": [ + "sCs = myokit.Simulation(mCs, p)\n", + "sCs.set_tolerance(tol, tol)\n", + "sCs.pre(t1)\n", + "dCs = sCs.run(t0)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "695fee27", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ax = plot(dAs, t1, t2, label=r'Without $\\tau_{amp}$')\n", + "ax = plot(dBs, t1, t2, ls='--', axes=ax, label=r'Without $\\tau_{amp}$ or $C_p$')\n", + "ax = plot(dCs, t1, t2, ls=':', axes=ax, label=r'Without $\\tau_{amp}$ or $C_p$ or $C_f$ spike')\n", + "ax[0].legend(loc='lower right')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "81ca2de9-e4e3-4c8e-806a-804b4e3f8178", + "metadata": {}, + "source": [ + "This has a noticeable difference, **so we won't apply this simplication below**." + ] + }, + { + "cell_type": "markdown", + "id": "285ac42e-e2e4-402c-ab56-3c04383544f3", + "metadata": {}, + "source": [ + "## Alternative formulation\n", + "\n", + "We now have the model\n", + "\n", + "\\begin{align}\n", + "3.1. && C_m\\dot{V}_m = \\frac{V_\\text{ref} - V_m}{R_s} - I\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "3.2b. && C_f\\dot{V}_o &= \\frac{V_\\text{ref} - V_m}{R_s} - \\frac{V_o - V_\\text{ref}}{R_f} + C_f \\dot{V}_\\text{ref} - C_m^* \\dot{V}_\\text{est}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "3.3. && \\dot{V}_\\text{est} &= \\frac{V_c - V_\\text{est}}{(1 - \\beta)R_s^*C_m^*} \n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "3.4. && \\tau_\\text{sum}\\dot{V}_\\text{ref} = V_c + \\alpha R_s^* I_\\text{obs} + \\beta R_s^* C_m^* \\dot{V}_\\text{est} - V_\\text{ref}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "3.5. && R_f I_\\text{obs} &= V_o - V_\\text{ref}\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "5c36bb80-961f-4213-b7d6-ebc0613fd9b2", + "metadata": {}, + "source": [ + "To write it in the style of Lei et al., we turn 3.5 into an ODE:\n", + "\n", + "\\begin{align}\n", + "R_f \\dot{I}_\\text{obs} &= \\dot{V}_o - \\dot{V}_\\text{ref}\n", + "\\end{align}\n", + "\n", + "Multiply by $C_f$, fill in 3.2b, then 3.5, then 3.1 to find\n", + "\n", + "\\begin{align}\n", + "R_fC_f \\dot{I}_\\text{obs} \n", + " &= C_f\\dot{V}_o - C_f\\dot{V}_\\text{ref} \\\\\n", + " &= \\frac{V_\\text{ref} - V_m}{R_s} - \\frac{V_o - V_\\text{ref}}{R_f} + C_f\\dot{V}_\\text{ref} - C_m^* \\dot{V}_\\text{est} - C_f \\dot{V}_\\text{ref} \\\\\n", + " &= \\frac{V_\\text{ref} - V_m}{R_s} - C_m^* \\dot{V}_\\text{est} - I_\\text{obs} \\\\\n", + "\\tau_f \\dot{I}_\\text{obs} &= I + C_m\\dot{V}_m - C_m^* \\dot{V}_\\text{est} - I_\\text{obs}\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "f13a18bd-3cc0-4d8a-8e0c-5527056a6c1e", + "metadata": {}, + "source": [ + "With this equation, the simplified model becomes:\n", + "\n", + "\\begin{align}\n", + "3.1. && C_m\\dot{V}_m = \\frac{V_\\text{ref} - V_m}{R_s} - I\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "3.3. && \\dot{V}_\\text{est} &= \\frac{V_c - V_\\text{est}}{(1 - \\beta)R_s^*C_m^*} \n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "3.4. && \\tau_\\text{sum}\\dot{V}_\\text{ref} = V_c + \\alpha R_s^* I_\\text{obs} + \\beta R_s^* C_m^* \\dot{V}_\\text{est} - V_\\text{ref}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "3.2c. && \\tau_f \\dot{I}_\\text{obs} &= I + C_m\\dot{V}_m - C_m^* \\dot{V}_\\text{est} - I_\\text{obs}\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "11b1c16f-aeb4-49e2-a63e-8cbe469b9402", + "metadata": {}, + "source": [ + "Besides dropping from 5 to 4 equations, this formulation lumps $R_f$ and $C_f$ into a single parameter $\\tau_f = R_fC_f$. This has two benefits:\n", + "1. If we want to infer $R_f$ and $C_f$ (e.g. to account for the limited accuracy of the electrical components), then this formulation shows that it would lead to identifiability problems, and we should fit only their product $\\tau_f$ instead.\n", + "2. We can account for clever electronics tricks that reduce the _apparent_ $\\tau_f$ by using a smaller value." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "8a9c6d1e-9658-4215-a54d-b209405d1526", + "metadata": {}, + "outputs": [], + "source": [ + "mDs = myokit.parse_model('''\n", + "[[model]]\n", + "desc: Simplified model written in the style of Lei et al.\n", + "amp.Vm = -80\n", + "amp.Ve = -80\n", + "amp.Vr = -80\n", + "amp.I_obs = 0\n", + "\n", + "[engine]\n", + "time = 0 [ms] in [ms] bind time\n", + "pace = 0 bind pace\n", + "\n", + "[amp]\n", + "alpha = 0.7\n", + "beta = 0.7\n", + "Rs = 15e-3 [GOhm] in [GOhm]\n", + "Rs_est = 14e-3 [GOhm] in [GOhm]\n", + "Cm = 25 [pF] in [pF]\n", + "Cm_est = 24 [pF] in [pF]\n", + "tau_f = 0.5 [GOhm] * 0.15 [pF] in [ms]\n", + "tau_sum = 10e-3 [ms] in [ms]\n", + "I = 10 [nS] * Vm\n", + " in [pA]\n", + "Vc = engine.pace * 1 [mV]\n", + " in [mV]\n", + "dot(Vm) = (Vr - Vm) / (Rs * Cm) - I / Cm\n", + " in [mV]\n", + "dot(Ve) = (Vc - Ve) / ((1 - beta) * Rs_est * Cm_est)\n", + " in [mV]\n", + "dot(Vr) = (Vc + alpha * Rs_est * I_obs + beta * Rs_est * Cm_est * dot(Ve) - Vr) / tau_sum\n", + " in [mV]\n", + "dot(I_obs) = (I + Cm * dot(Vm) - Cm_est * dot(Ve) - I_obs) / tau_f\n", + " in [pA]\n", + "''')\n", + "mDs.check_units(myokit.UNIT_STRICT)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "1c817762-34bb-4a16-971d-14597757c57a", + "metadata": {}, + "outputs": [], + "source": [ + "sDs = myokit.Simulation(mDs, p)\n", + "sDs.set_tolerance(tol, tol)\n", + "sDs.pre(t1)\n", + "dDs = sDs.run(t0)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "55f74333-81d1-4d7c-aa52-66b778501227", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ax = plot(dBs, t1, t2, ls='-', label=r'Vo notation')\n", + "ax = plot(dDs, t1, t2, ls='--', axes=ax, label=r'I_obs notation')\n", + "ax[0].legend(loc='lower right')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "8bd659d0-055a-4f7d-893f-c833795ef596", + "metadata": {}, + "source": [ + "## Initial conditions\n", + "\n", + "How do we pick initial conditions for the model?\n", + "Ideally, we'd like to start in a stable position (with all derivatives equal to zero).\n", + "\n", + "Looking at the equations, we can see that $V_\\text{est}$ will approach $V_c$, so we can start with\n", + "\\begin{align}\n", + "V_\\text{est}(t = 0) = V_c(t = 0)\n", + "\\end{align}\n", + "\n", + "But after this it gets trickier:\n", + "$I_\\text{obs}$ will approach $I$, because in a stable position $\\dot{V}_m$ and $\\dot{V}_\\text{est}$ will be zero.\n", + "However, $I$ is a function of $V(m)$, so that we get\n", + "\\begin{align}\n", + "I_\\text{obs}(t=0) = I(V_m(t=0))\n", + "\\end{align}\n", + "$V_\\text{ref}$ will approach $V_c + \\alpha R_s^*I_\\text{obs}$, so that\n", + "\\begin{align}\n", + "V_\\text{ref}(t=0) = V_c + \\alpha R_s^* I(V_m(t=0))\n", + "\\end{align}\n", + "Finally, $V_m$ will approach\n", + "\\begin{align}\n", + "V_m(t=0) &= V_\\text{ref}(t=0) - R_s I(V_m(t=0)) \\\\\n", + " &= V_c - (R_s - \\alpha R_s^*) I(V_m(t=0)) \n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "e71b5730-697d-49e4-9c6e-74ca0a5acd62", + "metadata": {}, + "source": [ + "So all four initial states are functions of just $V_c$ and $I(V_m)$, and can be found by solving $V_m = V_c - (R_s - \\alpha R_s^*) I(V_m)$.\n", + "Typical values are \n", + "\\begin{align}\n", + "V_c &= -80 \\text{mV}\\\\\n", + "R_s = R_s^* &= 10 \\text{MOhm} = 0.01 \\text{GOhm} \\\\\n", + "\\alpha = 0.7\n", + "\\end{align}\n", + "for $V_m = -80 - 0.003 I(V_m)$.\n", + "The solutions of this $V = f(V)$ system can be found graphically, by looking for all crossings with the diagonal.\n", + "\n", + "In general, the existence and uniqueness of the solution depends on $I(V_m)$, so that we can't say much more.\n", + "But for cell electrophysiology we know that\n", + "\n", + "1. Most currents have very small steady-state currents. And many experiments we simulate will start at a holding potential chosen to _make_ the steady-state current small.\n", + "2. One of the few currents to worry about is IK1, either when we measure it directly or as part of a whole cell (where it will dominate the steady-state behaviour at negative potentials).\n", + "3. However, the multiplier 0.003 makes this less of a problem, as it makes any function $I(V)$ very flat which decreases the chance of their being more than one intersection with the diagonal.\n", + "\n", + "Below we show an example based on the IK1 model from [Nygren et al. 1998](https://doi.org/10.1161/01.res.82.1.63)." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "0d9374b8-2839-4e0f-98c0-eb60662543e3", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "V = np.linspace(-140, 60, 160)\n", + "IK1 = 20 * (V + 85) / (1 + np.exp(0.06 * (V + 85)))\n", + "\n", + "fig = plt.figure()\n", + "ax = fig.add_subplot()\n", + "ax.axhline(0, color='gray', lw=1)\n", + "ax.axvline(0, color='gray', lw=1)\n", + "ax.plot(V, V, 'k--', label='I=V')\n", + "ax.plot(V, -80 - 0.003*IK1, label='$-80 - 0.003$ IK1')\n", + "ax.plot(V, -80 - 0.01*IK1, label='$-80 - 0.01$ IK1')\n", + "ax.plot(V, -80 - 0.1*IK1, label='$-80 - 0.1$ IK1')\n", + "ax.set_xlim(-140, 60)\n", + "ax.set_ylim(-140, 60)\n", + "ax.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "d2b0271e-5d1a-43c8-b2e4-d8dfd6b6f5f6", + "metadata": {}, + "source": [ + "Here, we've first plotted the case with 70% series resistance compensation and $R_s = 10$ MOhm (blue).\n", + "Next, the same but without series resistance compensation (orange).\n", + "And finally $R_s = 100$ MOhm without series resistance compensation (green).\n", + "\n", + "For all three cases, there looks to be only a single solution.\n", + "This means we can work out $V_m(t=0)$ with an iterative scheme, or simply by starting at $V_m(t=0)=V_c$ and running a short simulation (typically a few milliseconds) to find the value it settles at." + ] + }, + { + "cell_type": "markdown", + "id": "3f010526-1594-4660-b51f-25fbbd006f5c", + "metadata": {}, + "source": [ + "## Model and parameters" + ] + }, + { + "cell_type": "markdown", + "id": "30f5fe3f-6c3c-4f57-bf16-be434aa56f8e", + "metadata": {}, + "source": [ + "To get the final model, we use the alternative formulation and add back in the remaining voltage offset $E_\\text{off}^\\dagger$ and leak to find:\n", + "\n", + "\\begin{align}\n", + "I_\\text{leak} = \\frac{V_m - E_\\text{leak}}{R_\\text{leak}}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "C_m\\dot{V}_m = \\frac{V_\\text{ref} +E_\\text{off}^\\dagger - V_m}{R_s} - I - I_\\text{leak}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "\\dot{V}_\\text{est} &= \\frac{V_c - V_\\text{est}}{(1 - \\beta)R_s^*C_m^*} \n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "\\tau_\\text{sum}\\dot{V}_\\text{ref} = V_c + \\alpha R_s^* I_\\text{obs} + \\beta R_s^* C_m^* \\dot{V}_\\text{est} - V_\\text{ref}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "\\tau_f \\dot{I}_\\text{obs} &= I + I_\\text{leak} + C_m\\dot{V}_m - C_m^* \\dot{V}_\\text{est} - I_\\text{obs}\n", + "\\end{align}" + ] + }, + { + "cell_type": "markdown", + "id": "cdeefcc8-b0ab-4801-8b19-d1e3c04199c0", + "metadata": {}, + "source": [ + "With a user defined $I=I(V_m)$, an input $V_c$, and the following parameters:\n", + "\n", + "| Parameter | Meaning | Source | Approximation |\n", + "|:-----------------------|:----------------------------|:-------------|-----------------|\n", + "| $C_m$ | Membrane capacitance | Unknown | $C_m^*$ |\n", + "| $C_m^*$ | Estimated $C_m$ | User setting | |\n", + "| $R_s$ | Series resistance | Unknown | $R_s^*$ |\n", + "| $R_s^*$ | Estimated $R_s$ | User setting | |\n", + "| $\\tau_f$ | Feedback time constant | [Appendix C3](appendix-C3-parameter-values) | |\n", + "| $\\tau_\\text{sum}$ | $R_s$ compensation lag | User setting | |\n", + "| $\\alpha$ | $R_s$ compensation fraction | User setting | |\n", + "| $\\beta$ | $R_s$ prediction fraction | User setting | |\n", + "| $E_\\text{off}^\\dagger$ | Remaining voltage offset | Unknown | 0 |\n", + "| $E_\\text{leak}$ | Leak offset | Unknown | 0 |\n", + "| $R_\\text{leak}$ | Leak resistance | Unknown | $R_\\text{seal}$ |\n" + ] + }, + { + "cell_type": "markdown", + "id": "aef6b296-82fe-4ce9-82a8-2ab00fcc0eed", + "metadata": {}, + "source": [ + "Estimates for $C_m$ and $R_s$ are usually made before running the experiment. But we could also choose to infer these values, or use the correction estimates $C_m^*$ and $R_s^*$.\n", + "\n", + "Similarly, a pre-experiment estimate for $R_\\text{seal}$ (or $R_\\text{memb}$) is often available, and could be used for $R_\\text{leak}$.\n", + "Alternatively, a special leak-estimation step could be included in each protocol (especially if $E_\\text{leak}$ appears to be non-zero).\n", + "\n", + "On many amplifiers $\\alpha$, $\\beta$, $R_s^*$ and $C_m^*$ will be read off from a dial, so perhaps should include an error to infer.\n", + "On some amplifiers $\\alpha = \\beta$, removing one parameter.\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "d4adc471-ce82-47be-bc9b-c8c94b433b8c", + "metadata": {}, + "source": [ + "### Capacitance-normalised model\n", + "\n", + "If we want to use capacitance-normalised currents $\\tilde{I}_x = I_x / C'_m$, we get the following equations:\n", + "\n", + "\\begin{align}\n", + "\\tilde{I}_\\text{leak} = \\frac{V_m - E_\\text{leak}}{R_\\text{leak} C'_m} \\end{align}\n", + "\n", + "\\begin{align}\n", + "\\dot{V}_m = \\frac{V_\\text{ref} +E_\\text{off}^\\dagger - V_m}{R_s C_m} - \\frac{C_m'}{C_m} (\\tilde{I} + \\tilde{I}_\\text{leak})\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "\\dot{V}_\\text{est} &= \\frac{V_c - V_\\text{est}}{(1 - \\beta)R_s^*C_m^*} \n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "\\tau_\\text{sum}\\dot{V}_\\text{ref} = V_c + \\alpha R_s^* C'_m \\tilde{I}_\\text{obs} + \\beta R_s^* C_m^* \\dot{V}_\\text{est} - V_\\text{ref}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "\\tau_f \\dot{\\tilde{I}}_\\text{obs} &= \\tilde{I} + \\tilde{I}_\\text{leak} + \\frac{C_m}{C'_m}\\dot{V}_m - \\frac{C_m^*}{C'_m} \\dot{V}_\\text{est} - \\tilde{I}_\\text{obs}\n", + "\\end{align}\n", + "\n", + "Where we have differentiated between\n", + "1. $C_m$: The true, unknown, capacitance\n", + "2. $C_m^*$: The estimate of $C_m$ used in capacitance correction\n", + "3. $C'_m$: The estimate of $C_m$ used in normalisation.\n" + ] + }, + { + "cell_type": "markdown", + "id": "4e957331", + "metadata": {}, + "source": [ + "## Conclusion\n", + "\n", + "We have shown that\n", + "\n", + "1. Omitting the op-amp dynamics removes any differences between the model formulation based on Sigworth 1995 and on Lei 2020, and leads to visually indistinguishable results.\n", + "2. Omitting the effects of $C_p$ and $C_p^*$, or even the capacitative spike due to $C_f$, leads to transient differences at the start of any step change, but may be beneficial for parameter estimation purposes.\n", + "3. The final model can be reformulated to lump $R_f$ and $C_f$ into a single parameter $\\tau_f$, which can be beneficial.\n", + "4. For typical electrophysiology models, we can find a clamped steady-state by just running a short simulation.\n", + "5. Although the final model has 11 parameters, we usually only need to infer a few." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.1" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/artefacts/artefacts-6-summary.ipynb b/artefacts/artefacts-6-summary.ipynb new file mode 100644 index 0000000..3722772 --- /dev/null +++ b/artefacts/artefacts-6-summary.ipynb @@ -0,0 +1,386 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "cf0eda98", + "metadata": {}, + "source": [ + "# Summary\n", + "\n", + "Finally, we present two simplified models to play with." + ] + }, + { + "cell_type": "markdown", + "id": "77e8c0a2-cab3-4b65-a752-32f3292aca25", + "metadata": {}, + "source": [ + "## Model with current in pA" + ] + }, + { + "cell_type": "markdown", + "id": "4689178a-987c-4e93-806f-66a74ca6c156", + "metadata": {}, + "source": [ + "\\begin{align}\n", + "I_\\text{leak} = \\frac{V_m - E_\\text{leak}}{R_\\text{leak}}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "C_m\\dot{V}_m = \\frac{V_\\text{ref} +E_\\text{off}^\\dagger - V_m}{R_s} - I - I_\\text{leak}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "\\dot{V}_\\text{est} &= \\frac{V_c - V_\\text{est}}{(1 - \\beta)R_s^*C_m^*} \n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "\\tau_\\text{sum}\\dot{V}_\\text{ref} = V_c + \\alpha R_s^* I_\\text{obs} + \\beta R_s^* C_m^* \\dot{V}_\\text{est} - V_\\text{ref}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "\\tau_f \\dot{I}_\\text{obs} &= I + I_\\text{leak} + C_m\\dot{V}_m - C_m^* \\dot{V}_\\text{est} - I_\\text{obs}\n", + "\\end{align}" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "9e5bc640-904c-4b4a-89a5-f661e0acb927", + "metadata": {}, + "outputs": [], + "source": [ + "import myokit\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "9bd1e978-5a29-47d4-8511-d5dcb94e396e", + "metadata": {}, + "outputs": [], + "source": [ + "m1 = myokit.parse_model('''\n", + "[[model]]\n", + "desc: \"\"\"\n", + " Simplified model without fast capacitance or amplifier speed.\n", + " Written in the Lei et al. style, using dot(I_obs).\n", + "\"\"\"\n", + "amp.Vm = -80\n", + "amp.Ve = -80\n", + "amp.Vr = -80\n", + "amp.I_obs = 0\n", + "\n", + "[engine]\n", + "time = 0 [ms] in [ms] bind time\n", + "pace = 0 bind pace\n", + "\n", + "[amp]\n", + "alpha = 0.7\n", + "beta = alpha\n", + "Rs = 6e-3 [GOhm] in [GOhm]\n", + "Rs_est = 6e-3 [GOhm] in [GOhm]\n", + "Cm = 25 [pF] in [pF]\n", + "Cm_est = 25 [pF] in [pF]\n", + "tau_f = 0.075 [ms] in [ms]\n", + "tau_sum = 0.01 [ms] in [ms]\n", + "E_leak = 0 [mV] in [mV]\n", + "R_leak = 1 [GOhm] in [GOhm]\n", + "E_off = 0 [mV] in [mV]\n", + "I = 10 [nS] * Vm\n", + " in [pA]\n", + "I_leak = 0 * (Vm - E_leak) / R_leak\n", + " in [pA]\n", + "Vc = engine.pace * 1 [mV]\n", + " in [mV]\n", + "dot(Vm) = (Vr + E_off - Vm) / (Rs * Cm) - (I + I_leak) / Cm\n", + " in [mV]\n", + "dot(Ve) = (Vc - Ve) / ((1 - beta) * Rs_est * Cm_est)\n", + " in [mV]\n", + "dot(Vr) = (Vc + alpha * Rs_est * I_obs + beta * Rs_est * Cm_est * dot(Ve) - Vr) / tau_sum\n", + " in [mV]\n", + "dot(I_obs) = (I + I_leak + Cm * dot(Vm) - Cm_est * dot(Ve) - I_obs) / tau_f\n", + " in [pA]\n", + "''')\n", + "m1.check_units(myokit.UNIT_STRICT)" + ] + }, + { + "cell_type": "markdown", + "id": "96d21515-f53b-4b32-84dc-73dee48f3dd5", + "metadata": {}, + "source": [ + "With a user defined $I=I(V_m)$, an input $V_c$, and the following parameters:\n", + "\n", + "| Parameter | Meaning | Source | Approximation | Chosen value |\n", + "|:-----------------------|:----------------------------|:-------------|-----------------|--------------|\n", + "| $C_m$ | Membrane capacitance | Unknown | $C_m^*$ | 25 pF |\n", + "| $C_m^*$ | Estimated $C_m$ | User setting | | 25 pF |\n", + "| $R_s$ | Series resistance | Unknown | $R_s^*$ | 6 MOhm |\n", + "| $R_s^*$ | Estimated $R_s$ | User setting | | 6 MOhm |\n", + "| $\\tau_f$ | Feedback time constant | Hardware | | 0.075 ms |\n", + "| $\\tau_\\text{sum}$ | $R_s$ compensation lag | User setting | | 0.01 ms |\n", + "| $\\alpha$ | $R_s$ compensation fraction | User setting | | 0.7 |\n", + "| $\\beta$ | $R_s$ prediction fraction | User setting | | alpha |\n", + "| $E_\\text{off}^\\dagger$ | Remaining voltage offset | Unknown | 0 | 0 mV |\n", + "| $E_\\text{leak}$ | Leak offset | Unknown | 0 | 0 mV |\n", + "| $R_\\text{leak}$ | Leak resistance | Unknown | $R_\\text{seal}$ | 1 GOhm |\n", + "\n", + "See [Appendix C3](appendix-C3-parameter-values) for more common values." + ] + }, + { + "cell_type": "markdown", + "id": "14f621fd-637d-4cf4-8c65-7d83e07ab1ba", + "metadata": {}, + "source": [ + "## Model with current in A/F" + ] + }, + { + "cell_type": "markdown", + "id": "30f5fe3f-6c3c-4f57-bf16-be434aa56f8e", + "metadata": {}, + "source": [ + "\\begin{align}\n", + "\\bar{I}_\\text{leak} = = \\frac{1}{C'_m R_\\text{leak}} (V_m - E_\\text{leak}) = \n", + " \\tilde{g}_\\text{leak} (V_m - E_\\text{leak})\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "\\dot{V}_m = \\frac{V_\\text{ref} +E_\\text{off}^\\dagger - V_m}{R_s C_m} - \\frac{C_m'}{C_m}(\\tilde{I} + \\tilde{I}_\\text{leak})\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "\\dot{V}_\\text{est} &= \\frac{V_c - V_\\text{est}}{(1 - \\beta)R_s^*C_m^*} \n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "\\tau_\\text{sum}\\dot{V}_\\text{ref} = V_c + \\alpha R_s^* C_m' \\tilde{I}_\\text{obs} + \\beta R_s^* C_m^* \\dot{V}_\\text{est} - V_\\text{ref}\n", + "\\end{align}\n", + "\n", + "\\begin{align}\n", + "\\tau_f \\dot{\\tilde{I}}_\\text{obs} &= \\tilde{I} + \\tilde{I}_\\text{leak} + \\frac{C_m}{C_m'}\\dot{V}_m - \\frac{C_m^*}{C_m'} \\dot{V}_\\text{est} - \\tilde{I}_\\text{obs}\n", + "\\end{align}" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "0141a269-2c67-4866-b6c2-759a0fad9254", + "metadata": {}, + "outputs": [], + "source": [ + "m2 = myokit.parse_model('''\n", + "[[model]]\n", + "desc: \"\"\"\n", + " Simplified model without fast capacitance or amplifier speed.\n", + " Written in the Lei et al. style, using dot(I_obs).\n", + " With normalised currents.\n", + "\"\"\"\n", + "amp.Vm = -80\n", + "amp.Ve = -80\n", + "amp.Vr = -80\n", + "amp.I_obs = 0\n", + "\n", + "[engine]\n", + "time = 0 [ms] in [ms] bind time\n", + "pace = 0 bind pace\n", + "\n", + "[amp]\n", + "alpha = 0.7\n", + "beta = alpha\n", + "Rs = 6e-3 [GOhm] in [GOhm]\n", + "Rs_est = 6e-3 [GOhm] in [GOhm]\n", + "Cm = 25 [pF] in [pF]\n", + "Cm_est = 25 [pF] in [pF]\n", + "Cm_nor = Cm_est in [pF]\n", + "tau_f = 0.075 [ms] in [ms]\n", + "tau_sum = 0.01 [ms] in [ms]\n", + "E_leak = 0 [mV] in [mV]\n", + "g_leak = 0.04 [nS/pF] in [nS/pF]\n", + "E_off = 0 [mV] in [mV]\n", + "I = 0.4 [nS/pF] * Vm\n", + " in [A/F]\n", + "I_leak = g_leak * (Vm - E_leak)\n", + " in [A/F]\n", + "Vc = engine.pace * 1 [mV]\n", + " in [mV]\n", + "dot(Vm) = (Vr + E_off - Vm) / (Rs * Cm) - (I + I_leak) * (Cm_nor / Cm)\n", + " in [mV]\n", + "dot(Ve) = (Vc - Ve) / ((1 - beta) * Rs_est * Cm_est)\n", + " in [mV]\n", + "dot(Vr) = (Vc + alpha * Rs_est * Cm_nor * I_obs + beta * Rs_est * Cm_est * dot(Ve) - Vr) / tau_sum\n", + " in [mV]\n", + "dot(I_obs) = (I + I_leak + Cm / Cm_nor * dot(Vm) - Cm_est / Cm_nor * dot(Ve) - I_obs) / tau_f\n", + " in [A/F]\n", + "''')\n", + "m2.check_units(myokit.UNIT_STRICT)" + ] + }, + { + "cell_type": "markdown", + "id": "cdeefcc8-b0ab-4801-8b19-d1e3c04199c0", + "metadata": {}, + "source": [ + "With additional parameters:\n", + "\n", + "| Parameter | Meaning | Source | Chosen value |\n", + "|:------------------------|:----------------------------|:-------------|--------------|\n", + "| $C_m' $ | $C_m$ used in normalisation | User setting | 25 pF |\n", + "| $\\tilde{g}_\\text{leak}$ | Normalised leak conductance | Unknown | 0.04 nS/pF |\n" + ] + }, + { + "cell_type": "markdown", + "id": "1c26daa9-c7e5-446f-8a11-75285f245acd", + "metadata": {}, + "source": [ + "## Simulations" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "6df3901e-c711-4a3e-8a27-35c190a95ad6", + "metadata": {}, + "outputs": [], + "source": [ + "vlo, vhi = -80, 20\n", + "p = myokit.Protocol()\n", + "p.add_step(level=vlo, duration=5)\n", + "p.add_step(level=vhi, duration=15)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "c7f51c04-3322-4994-b194-7cbb64ae3b2a", + "metadata": {}, + "outputs": [], + "source": [ + "tol = 1e-8\n", + "\n", + "t0 = 10\n", + "t1 = 4.9\n", + "t2 = 6\n", + "\n", + "s1 = myokit.Simulation(m1, p)\n", + "s1.set_tolerance(tol, tol)\n", + "s1.pre(t1)\n", + "d1 = s1.run(t0)\n", + "\n", + "s2 = myokit.Simulation(m2, p)\n", + "s2.set_tolerance(tol, tol)\n", + "s2.pre(t1)\n", + "d2 = s2.run(t0)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "61b4254d-2283-4127-8f0e-17404079d702", + "metadata": {}, + "outputs": [], + "source": [ + "def axs(fig, sub=(1, 1, 1), xlabel='Time (ms)', ylabel=''):\n", + " ax = fig.add_subplot(*sub)\n", + " ax.set_xlabel(xlabel)\n", + " ax.set_ylabel(ylabel)\n", + " return ax\n", + "\n", + "def ins(ax, loc=(0.05, 0.20, 0.40, 0.65)):\n", + " ins = ax.inset_axes(loc)\n", + " ins.set_yticklabels([])\n", + " ins.set_xlim(t1, t2)\n", + " ins.patch.set_alpha(0.5) \n", + " return ins\n", + "\n", + "def plot(d, label='ff', ls='-'):\n", + " fig = plt.figure(figsize=(15, 12))\n", + " \n", + " ax1 = axs(fig, (2, 2, 1), 'V (mV)')\n", + " ax2 = axs(fig, (2, 2, 2), 'Iobs (mV)')\n", + " in1 = ins(ax1)\n", + " in1.set_xlim(4.9, 7)\n", + " in1.set_ylim(12, 28)\n", + " \n", + " ax1.plot(d.time(), d['amp.Vm'], label='Vm')\n", + " ax1.plot(d.time(), d['amp.Ve'], label='Vest')\n", + " ax1.plot(d.time(), d['amp.Vr'], label='Vref')\n", + " ax1.legend()\n", + " in1.plot(d.time(), d['amp.Vm'])\n", + " in1.plot(d.time(), d['amp.Ve'])\n", + " in1.plot(d.time(), d['amp.Vr'])\n", + " \n", + " ax2.plot(d.time(), d['amp.I_obs'], ls=ls)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "efce586a-4403-4c18-803b-948e5ecbefaf", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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TJEn33HOP7Ha7BgwYoC5dumj37t2WvT8AQGQpDcw+2YqkWO/OkqQ1Ow7SVwyIQwyfBBCzSIoBkWH48OHNnmicddZZWrJkSbPPOe+887R8+fLjbvPUU0/VqlWr2itEAEAMOVxZ11PsBMMnJWlI90w57Ya+KXNr18EK9cyOjvYEANoHlWIAYlbjpJjHS/8hAACAWFdaN3wyLenENSCJTrvO6JYhyVctBiC+kBQDELPoKQYAABB/Kty+H0JTElo3MOqc3r6+Yu9vJSkGxBuSYgBiFsMnAQAA4s9Rt++YL8XVuqTYBad2kSS9v2W/PF76igHxhKQYgJjVOClW462xKBIAAAB0lPK6pFinVibFhnTPUGqiQyUVNfr069JwhgYgwpAUAxCz6CkGAAAQX7xeU+XVdcMnW5kUc9htOu+UbEnS8q+KwxYbgMhDUgxAzDLVsPyd4ZMAAACxraLm2I+gra0Uk6RRfX1DKJd/tb/dYwIQuUiKAYhZptkoKUajfQAAgJjmHzppM6REZ+tPd0f1zZEkfbLnsL4pqwpLbAAiD0kxADGLSjEAAID4Ur/JvmEYrX5eblqihvbIlGlK//p0X7jCAxBhSIoBiFkkxQAAAOJLsE3267t0UFdJ0pskxYC4QVIMQNwgKQbEjg8++ECDBg2S0+nUlVdeaXU4AIAIUb9SLFiXDsqTJK3bVaKiUoZQAvGApBiAmEVPMcA6EyZM0JgxY5p9bNWqVTIMQx9//HHI2585c6bOPPNM7dixQwsXLgx5OwCA2FLuDm7myfq6pidpWN0Qylc27Gnv0ABEIJJiAGIWwycB60yZMkXLli3Trl27mjz2wgsv6Mwzz9SQIUMaLDdNU7W1rft3um3bNl144YXq1q2bMjIy2iNkAEAMODZ80h7S868/q0CS9OLq3fJ4zROsDSDakRQDELsaHcd4vJ7m1wPQ7i6//HLl5OQ0qeKqqKjQSy+9pClTpmj58uUyDENvv/22hg0bJpfLpffee0+maerhhx9W7969lZSUpDPOOEN///vfJUk7d+6UYRg6ePCgJk+eLMMwqBQDAAQEhk8mBF8pJkkTzshXepJTXx+u1PKvitsztAZM01RZVY32H3EHLocrqlXj8YbtNQE0FdqeAgCiAJViiFWmaaqytrLDXzfJkdTqmbwcDoduueUWLVy4UPfdd1/geX/7299UXV2tm266SZ988okk6Sc/+YkeffRR9e7dWxkZGfr5z3+uV155Rc8884z69OmjlStX6nvf+566dOmi8847T/v27VPfvn01d+5cXX/99UpPTw/bewYARJe2NNqXpESnXdcN66bn3tuh597brov657Y5ptLKGn249YDW7izRl0Vl2r6/XIfKq1V9nASYy2FTaqJDnVwOpdRdkhPsSknwXScn2JXscijZaZfdbshmGLIbhgxDstt89231/lw3rndr1GGkQcuRltZt+tjxK+mavEa9Zzd9rKXXNI/7WNPXbP26iAz9uqbp4gFt/zfWFiTFAMSsxn9Ea8waiyIB2ldlbaXOXnx2h7/umhvXKNmZ3Or1J0+erEceeUTLly/X6NGjJfmGTl511VXKzMwMrDd37lxdfPHFkqTy8nI9/vjjWrZsmYYPHy5J6t27t95//3397//+r0aOHKm8vDwZhqH09HTl5eW14zsEAES78jY02vebOKKnFn64U6u3H9IHWw/o3FOyg95GVY1Hb39epL+v36MPtx0Maiimu9Yr99FqHThaHfTrAtHkmqHdSIoBQEehUgzoWP369dOIESP0wgsvaPTo0dq2bZvee+89LVmypMF6w4YNC9zetGmTqqqqAkkyv+rqag0ePLhD4gYARK+jbWi079ctM1k3nd1DCz/cqV++sUmvTztPCY7WdR4qd9fqxTW79Nx7O7T/iDuw/OQuKTrvlGydlp+uU3I7KSfVpawUl5ISjvU+q/F4Ve6u1ZGqWh111wZul1fXqqLao8pqj8qra33Xbo8qa2rl8ZryeCWvacprmvJ4fdder1S/uLtxobehJguau1n3XKOFx467mSbV5cZx7zSNx2gxntY9r7n7iCxDumeeeKUwIykGIGY1LqGmpxhiRZIjSWtuXGPJ6wZrypQpmjZtmn7/+99rwYIF6tGjhy666KIG66SkpARue72+oSRvvvmmTjrppAbruVyuEKIGAMSTyhrfj6DJCaE12vf70YWn6PVP9urLoiN64p3N+skl/Vpcv6yqRos+2KnnP9ihwxW+0Qld0xN17bACXT3kJPXISmnx+ZLktNuUkZygjOSENsUOoPVIirXA7XbL7T6W3fd6vTp06JCysrJa3VMFQFOmaerIkSPKz8+XzRa++T7oKYZYZRhGUMMYrXTdddfpzjvv1OLFi7Vo0SJNnTq1xb+hAwYMkMvl0u7duzVy5MgOjBQAEAuqanw/riQ525YUy+rk0i+/PVB3LP5YTy/fpq7pibp5eM8m6/mTYf/3/g6VVvqSYT2zknX7qFN05eCTWl1hBsAaJMVaMG/ePD3wwANWhwHErMLCQnXr1i1s2ycpBlivU6dOuv766zV79myVlpZq0qRJLa6fmpqqe+65R3fddZe8Xq/OO+88lZWV6cMPP1SnTp00ceLEjgkcABCVKqt9IwMSnW1PRl12eld9vvdkPb18m37xj8+1avtB3XBWd3VJdWnngXIt+7JYb366TxV1r3lylxT96MI+uvz0rnLYSYYB0YCkWAtmzZqlmTNnBu6Xlpaqe/fuKiwsVFpaWrPPqfHU6PyXzpckLblmidISml+vNaa8PUWfH/xcj1zwiM7vdn7I2wEiTVlZmQoKCpSamhreF2rUz7TWJCkGWGHKlCl6/vnnNXbsWHXv3v2E6//yl79UTk6O5s2bp+3btysjI0NDhgzR7NmzOyBaAEA0q6r1JahcbawU8/vxuL5KdNr1m3c2661Pi/TWp0VN1umT00nTLjxFl5+eL7uNEUVANCEp1gKXy9Vs/5K0tLQWk2L2JPux9dqQFMvKzJK9wq7ahNrjvh4QzTp6GDKVYoA1hg8f3uy07aNGjWp2uWEYmj59uqZPn37cbR4+fLg9QwQAxIiqGn+lWPskxQzD0PSL+uii/jla8MFOrdt5SEfdtcpJTdSQHhm68syTNLRHJu11gChFUiyC+RNqpe5SiyMBohPDJwEAAOKLv6dYYjv38jotP12PXntGu24TgPUY6BzB0hPSJUml1STFgFA0rkAhKQYAABDb/JViSW2cfRJAfCApFsHSXXVJMSrFgJA0qRSjpxgAAEBMc9fWVYq10/BJALGNpFgE8yfFytxlFkcCRKfGSTGP12NRJAAQv55++mn16tVLiYmJGjp0qN577z2rQwIQwwKzTzpIigE4MZJiEcyfFDvsPmxtIECMYPgkAHSsl156STNmzNC9996rDRs26Pzzz9f48eO1e/duq0MDEKP8s08mOjnVBXBi7CkiWKYrU5JU4i6xOBIgOjXuKVbjrbEoEqDtmpulESfG52atxx9/XFOmTNGtt96q/v3764knnlBBQYGeeeYZq0MDEKPae/ZJALGNpFgE65zUWZJ0qPKQxZEAsYFKMUQjp9MpSaqoqLA4kujk/9z8nyM6TnV1tdavX6+xY8c2WD527Fh9+OGHzT7H7XarrKyswQUAWss0zWOzT5IUA9AKDqsDwPFlJWZJkg65D8k0TRmGYXFEQHRp0lPMpKcYoo/dbldGRoaKi4slScnJyfw9aAXTNFVRUaHi4mJlZGTIbufkqKMdOHBAHo9Hubm5DZbn5uaqqKio2efMmzdPDzzwQEeEByAG+ZvsSwyfBNA6JMUiWGaib/hkrbdWR2qOKC0hzeKIgOjSeNgUlWKIVnl5eZIUSIyh9TIyMgKfH6zROInb0g99s2bN0syZMwP3y8rKVFBQENb4AMQOd039pBg/hgA4MZJiEcxldynFmaLymnIdqjxEUgxoI5JiiFaGYahr167KyclRTQ298VrL6XRSIWah7Oxs2e32JlVhxcXFTarH/Fwul1wuV0eEByAGVdb1E7PbDDntVIoBODGSYu2s8XCttuqc2FnlNeUqcZeop3q267aBWNf43yNJMUQ7u91OkgdRIyEhQUOHDtXSpUv1ne98J7B86dKl+va3v21hZABiVaDJvoOEGIDWISkWRoba3vMlMzFThUcKabYPhKBJUswkKQYAHWnmzJm6+eabNWzYMA0fPlzz58/X7t27ddttt1kdGoAYVFXrS4olJfADEoDWISkW4Ton1s1A6SYpBgStUeEmlWIA0LGuv/56HTx4UHPnztW+ffs0cOBAvfXWW+rRo4fVoQGIQf6ZJ10OkmIAWoekWIQLJMWoFAOCxvBJALDe7bffrttvv93qMADEgcDwSWaeBNBK7C0iXCApVkVSDGgrj+mxOgQAAACESWUgKUalGIDWISkW4UiKAaEzTSrFAAAA4oWbpBiAIJEUi3BdkrpIkoorii2OBIg+DJ8EAACIH/6eYgyfBNBa7C0iXE5yjiRpf+V+iyMBog9JMQAAgPgR6ClGo30ArURSLMJ1ST5WKdZ4KBiAljUZPmmSFAMAAIhV1Z662SepFAPQSiHvLVauXKkJEyYoPz9fhmHotddea/C4aZqaM2eO8vPzlZSUpFGjRunzzz9vsI7b7daPfvQjZWdnKyUlRVdccYX27NkTakgxyV8p5va4VVZdZnE0QHSjUgwAACB2Vdf6kmIJdpJiAFon5L1FeXm5zjjjDD311FPNPv7www/r8ccf11NPPaW1a9cqLy9PF198sY4cORJYZ8aMGXr11Vf1l7/8Re+//76OHj2qyy+/XB4PM8T5uewuZbgyJNFXDGgrkmIAAACxy12XFHOSFAPQSo5Qnzh+/HiNHz++2cdM09QTTzyhe++9V1dddZUkadGiRcrNzdXixYv1wx/+UKWlpXr++ef1xz/+UWPGjJEk/elPf1JBQYHeeecdjRs3LtTQYk6X5C467D6s4opi9cnsY3U4QNSgpxgAAED8qKkbPpngICkGoHXCsrfYsWOHioqKNHbs2MAyl8ulkSNH6sMPP5QkrV+/XjU1NQ3Wyc/P18CBAwPrNMftdqusrKzBJdb5h1BSKQYEp3FPMY9JFSoAAECsCgyfJCkGoJXCsrcoKiqSJOXm5jZYnpubG3isqKhICQkJyszMPO46zZk3b57S09MDl4KCgnaOPvLkJvs+R5JiQHAaV4rVeGssigQAAADhRlIMQLDCurcwDKPBfdM0myxr7ETrzJo1S6WlpYFLYWFhu8TaXuqfhBtq+b22VpekYzNQAmi9JrNPMnwSAAAgZgWGT9JTDEArhWVvkZeXJ0lNKr6Ki4sD1WN5eXmqrq5WSUnJcddpjsvlUlpaWoNLrAsMn6wkKQa0BUkxAACA2FVNUgxAkMKyt+jVq5fy8vK0dOnSwLLq6mqtWLFCI0aMkCQNHTpUTqezwTr79u3TZ599FlgHPgyfBELjr9x0GL45RegpBgAAELvcDJ8EEKSQZ588evSotm7dGri/Y8cObdy4UZ07d1b37t01Y8YMPfTQQ+rTp4/69Omjhx56SMnJybrxxhslSenp6ZoyZYruvvtuZWVlqXPnzrrnnns0aNCgwGyU8OmSzPBJoC2cdqdqa2upFAMAAIhh/p5iTirFALRSyEmxdevWafTo0YH7M2fOlCRNnDhRCxcu1E9+8hNVVlbq9ttvV0lJic4++2wtWbJEqampgef85je/kcPh0HXXXafKykpddNFFWrhwoex2exveUuzpmtJVknSg8oDcHrdcdpfFEQHRwd9TzGHz7epIigEAAMSuQE8xKsUAtFLISbFRo0Y1aWJdn2EYmjNnjubMmXPcdRITE/Xkk0/qySefDDWMuJDhylCyI1kVtRXae3SveqX3sjokICr4h086bU5JvuGTrZnwAwAAANGH2ScBBIu9RQvcbrfKysoaXKxgGIa6pXaTJO05sseSGIBo5u8pJkm1JtViAAAAscjfaN9FUgxAK7G3aMG8efOUnp4euBQUFFgWy0mdTpIkfX30a8tiAKJNoFLM7gwsYwglAABAbKqp9R/7cZoLoHXYW7Rg1qxZKi0tDVwKCwsti4WkGBA8/xBv//BJiaQYAABArHL7e4qRFAPQSiH3FIsHLpdLLldkNLVn+CQQPH+lmL/RvkRSDAAAIFbRUwxAsNhbRIlunXxJMSrFgCDUzQViM2wy5Guu7zE9FgYEAACAcPHPPsnwSQCtxd4iSviHT1IpBgTPkBGoFqNSDAAAIDZRKQYgWOwtosRJqb6k2JGaIyp1l1ocDRAd/MMnpWNDKGu8NVaFAwAAgDDyJ8WYfRJAa7G3aGf+xt6SZBhGu203yZGkrMQsSVSLAa3lT4oZBpViAAAAsa6a4ZMAgsTeIor0SOshSdpRtsPiSIDo4E9SGzLkMHxJMY+XnmIAAACxqIbhkwCCxN4iivRK7yVJ2lFKUgxojeaGT9aaVIoBAADEIreHpBiA4LC3iCK903tLIikGBIvhkwAAALHNNM1jjfYZPgmgldhbRJHeGb6k2PbD2y2OBIguzD4JAAAQ22q9x0YIkBQD0FrsLaKIf/jkriO7OLEHWqH+xBd2wy6JpBgAAEAs8leJSQyfBNB67C2iSNeUrkpyJKnWW8sMlEArBGafrF8pRk8xAACAmENSDEAo2FtEEZthU8+0npKk7aUMoQROJDD7pGHIaXNKolIMAAAgFtXUNdm3GZLdZlgcDYBoQVIsyvRM7ymJpBjQGs1WipEUAwAAiDnuWmaeBBA89hhR5tTMUyVJm0s2WxwJEEWMYz3FPF6PxcEAAACgvVV7mHkSQPDYY0SZvpl9JUlfHvrS4kiAyOevFJMUqBSrMWusCgcAAABh4h8+SaUYgGCwx4gy/bP6S5J2lu5URU2FxdEAEa4uJ8bwSQAAgNhW6/Ed+DlsnOICaD32GFEmOylbWYlZMmVq6+GtVocDRDR6igEAAMQHf6WYw06TfQCtR1IsjAyFZ4fcr3M/SQyhBE4kkBQzDDkMX1KMnmIAAACxp9brO+5z0lMMQBDYY7Sz+j2MwqVvZ/qKAcGgUgwAACC2BSrFbFSKAWg9kmJRqH9nX1+xLw5+YXEkQGQzzaaN9mtNkmIAAACxJtBTjEoxAEFgjxGFBmYPlCR9WfKl3B63xdEAkau52SepFAMAAIg9tV5fpZiTnmIAgkBSLAqd1OkkdU7srFpvLdViQAvq9xSzG3ZJJMUAAABiUU1g9kmSYgBaj6RYFDIMQ2d0OUOS9Mn+TyyOBohgdYVi9BQDAACIbYHhkzZOcQG0HnuMKHV6l9MlkRQDWsMwDHqKAQAAxDD/8EkHwycBBIGkWJSiUgw4sfo9xZw2pyQqxQAAAGIRjfYBhII9RpQ6Les02Q27iiuKVVReZHU4QETyzz5p6FhPMY/XY2VIAAAACINAo316igEIAkmxKJXsTNapmadKkjbu32htMECECjTar9dTrMZbY2VIAAAACINAo32GTwIIAkmxKDYkd4gkaV3ROosjASKTeazTPo32AQAAYlitx99TjFNcAK3nsDoAhO5bed/Si1+8qDX71lgdChDRGsw+SaN9AECdy373nrbtP3rC9Qy1rvLEaGWBSmtWM1q5sVbXxLRixdZuq9WxdfBrtn5brVyxFVtsz++8tduL5P8fW6tV77MV63ROTtBvbxisntkpqvX6fgxl+CSAYJAUi2JDc4fKkKGdZTtVXFGsnOQcq0MCIoq/p5h0rFKMnmIAAD93rVdVNV6rwwAQosJDlXr3q2J9P7tXveGTVIoBaD2SYlEs3ZWu/ln9tengJn1U9JEu73251SEBEcmQIYfB8EkAQEMv3nq2ajwtJ8Xq/b7SJq3dTv2Zk9uyrda8nNnKoFq3rfbZUus/p1as06rPqZ0+7w7+flv1WjH+/9xvlm7We1sOBGLzD5900lMMQBBIirXA7XbL7XYH7peVlVkYTfPOzjtbmw5u0tqitSTFgEYCjfYNg55iAIAmctMSrQ4BQIgykxMkHUug+YdP2hk+CSAI1Ja2YN68eUpPTw9cCgoKTvic1v760V7OyjtLkugrBjTD/++RnmIAAACxrdZb12jfxikugNZjj9GCWbNmqbS0NHApLCy0OqQmhuQOkcNw6OujX+vro19bHQ4QUerPPmm32SVRKQYAABALGjfir63rKcbwSQDBICnWApfLpbS0tAaXSJPiTNGgLoMkSR/u/dDiaIDIRE8xAACA2OQfGUCjfQChYI8RA8476TxJ0so9Ky2OBIgszc0+SVIMAAAg9viHTzrpKQYgCCTFYsD5J50vyddXzO1xn2BtIP4YMuS0OSXRUwwAACAWNE59USkGIBTsMWJAv879lJOUo8raSq0vWm91OEDEqD/7ZILdN0NRtafaypAAAAAQBrWeukb79BQDEASSYjHAMAyd381XLbbya4ZQAn71Z5902V2SSIoBAADEAqNRp/1ab12jfWafBBAE9hgxIpAU27OyQR8lAL6kmL9SjCHGAAAAscN/6lNDpRiAEJAUixHndD1HDptDhUcKtbNsp9XhABHBP3xSEkkxAACAGOapqxRz0GgfQBBIisWIFGeKhuUOk8QslIBfIClmiOGTAAAAMcSf+vIf79FoH0Ao2GPEkFEFoyRJy3YvszYQIELU7ylGpRgAAEDsqvXWDZ+kUgxAEEiKhVHj5o/hdlH3iyRJG4o36EDlgQ59bSCS1W+0X+OtsTgaAAAAtFndqZa/p1htXaWYk0oxAEFgjxFD8lLyNCh7kEyZ+s+u/1gdDhAxDONYUsztcTMZBQAAQIyh0T6AUJAUizFjeoyRJC3dvdTiSADr1U9+OW1OSZLX9KrWrLUqJAAAAIRBbaDRPqe4AFqPPUaMubj7xZKkdUXrdLjqsLXBABbzN16tP3xSotk+AABAtDPqxk/6fwKtrasUc1IpBiAIJMViTEFagfpm9pXH9OjdwnetDgewVCApZhxrtC/RbB8AACDWMPskgFCwx4hBgSGUuxhCifhWf/ikzbAFhlBSKQYAABDdjMaN9pl9EkAISIrFoLE9xkqSVu1bxRBKQMfK6/1DKEmKAUDb9ezZU4ZhNLj87Gc/a7DO7t27NWHCBKWkpCg7O1vTp09XdTX7YADt71hPMZJiAFrPYXUAaH+9M3qrb2ZffVXylZbuXqprT73W6pAAS5hqOMtkgj1BqmH4JAC0l7lz52rq1KmB+506dQrc9ng8uuyyy9SlSxe9//77OnjwoCZOnCjTNPXkk09aES6AGFbL8EkAIWCPEaMu7X2pJOnN7W9aHAlgPaOuvt7fV4xKMQBoH6mpqcrLywtc6ifFlixZok2bNulPf/qTBg8erDFjxuixxx7Tc889p7KyMgujBhAL/PVg/h9BabQPIBQkxWLUpb0ulSFD679Zr31H91kdDmCpxsMnqRQDgPbx61//WllZWTrzzDP14IMPNhgauWrVKg0cOFD5+fmBZePGjZPb7db69eutCBdADKsJDJ/kFBdA6zF8MkblpeRpaO5Qrftmnd7a8ZamDJpidUiA5fyVYiTFAKDt7rzzTg0ZMkSZmZn66KOPNGvWLO3YsUP/93//J0kqKipSbm5ug+dkZmYqISFBRUVFzW7T7XbL7T62j6aiDMDxNGm0T6UYgBCQRo9hl/W+TJL01o63LI4EsEb92SclyWXzVYrVeGusCAcAIt6cOXOaNM9vfFm3bp0k6a677tLIkSN1+umn69Zbb9Wzzz6r559/XgcPHgxszz98vT7TNJtdLknz5s1Tenp64FJQUBCeNwog5tBTDEAo2GPEsIt7XCyHzaHNJZu1uWSz1eEAlvEPn6RSDABaNm3aNH3xxRctXgYOHNjsc8855xxJ0tatWyVJeXl5TSrCSkpKVFNT06SCzG/WrFkqLS0NXAoLC9vx3QGIZTVeX6UYs08CCAbDJ8PIkLU75HRXui446QItK1ymf2z9h3581o8tjQewGkkxAGhZdna2srOzQ3ruhg0bJEldu3aVJA0fPlwPPvig9u3bF1i2ZMkSuVwuDR06tNltuFwuuVyukF4fQHxpfK7l8fcUY/gkgCBQKRbjvtPnO5Kkf277p2o8DBlDfPHPRuTnb7TP7JMA0DarVq3Sb37zG23cuFE7duzQX//6V/3whz/UFVdcoe7du0uSxo4dqwEDBujmm2/Whg0b9J///Ef33HOPpk6dqrS0NIvfAYBYU0ujfQAhYI8R48476Tx1SeqiEneJlu9ZbnU4gDXqfjCkUgwA2ofL5dJLL72kUaNGacCAAbrvvvs0depU/fnPfw6sY7fb9eabbyoxMVHnnnuurrvuOl155ZV69NFHLYwcQKw41mjflNdrBhru2xk+CSAIDJ9sZ40rU6zmsDl0xclX6PnPnterW17VxT0utjokwDJUigFA+xgyZIhWr159wvW6d++uN954owMiAhDP/FViEkkxAMGhUiwO+IdQfrD3A31T/o3F0QAdp8nsk3VJMSrFAAAAYofXJCkGIDQkxeJAj7QeGpo7VF7Tq39s+4fV4QAdzt+I1Z8Uq6qtsjIcAAAAtNGx4ZMNK8WYfRJAMEiKxYmr+lwlSfr75r+r1ltrcTSANZIcSZKkytpKiyMBAABAe/EwfBJAiEiKxYmxPcYqw5WhfeX7tKJwhdXhAB2icY8/kmIAAACxwpf8MtUoKWaQFAPQeiTF4kSiI1HXnHqNJGnxl4stjgboWEbdwVGyM1mSVFFbYWU4AAAAaEf+pJhhSDYqxQAEgaRYC9xut8rKyhpcotn1fa+X3bDro6KPtKVki9XhAB2OSjEAAIDY40+KUSUGIFgkxVowb948paenBy4FBQVWh9QmeSl5urD7hZKoFkN8IikGAAAQGxo22vdKop8YgOCRFGvBrFmzVFpaGrgUFhZaHVKbfbffdyVJb2x7Q6XuUoujATqGf/ZJkmIAAACxpy4nRlIMQNBIirXA5XIpLS2twSXaDcsdpn6d+6nKU6UXv3jR6nCADkVSDAAAIDb401+mTCrFAISMpFgYGRE4pt0wDE0ZNEWS9OIXL6q8ptziiIDwMc3jzD5ZQ1IMAAAgVnjrjvkcJMUABImkWBy6uPvF6pnWU2XVZXrpq5esDgcIO4ZPAgAAxK5af6N9kmIAghTWpNicOXNkGEaDS15eXuBx0zQ1Z84c5efnKykpSaNGjdLnn38ezpAgyW6zB6rF/vD5H1RVW2VxREDHSHYkSyIpBgAAEO3qN9r3kBQDEKKwV4qddtpp2rdvX+Dy6aefBh57+OGH9fjjj+upp57S2rVrlZeXp4svvlhHjhwJd1hx77Lelyk/JV8Hqw7q5S0vWx0O0CGSnMcqxRoPrQQAAEB0CiTFIrB9DYDIFvakmMPhUF5eXuDSpUsXSb4qsSeeeEL33nuvrrrqKg0cOFCLFi1SRUWFFi9eHO6wwiZaTrSdNmegWmz+f+fraPVRiyMC2p8p379Hf38///BJU6bcHrdlcQEAAKBt/O0xTNUbPmknKQYgOGFPim3ZskX5+fnq1auXbrjhBm3fvl2StGPHDhUVFWns2LGBdV0ul0aOHKkPP/zwuNtzu90qKytrcEFovtPnO+qZ1lOHqg5pwecLrA4HCLtEe2LgNkMoAQAAYoOXSjEAIQprUuzss8/WH/7wB7399tt67rnnVFRUpBEjRujgwYMqKiqSJOXm5jZ4Tm5ubuCx5sybN0/p6emBS0FBQTjfQkxz2pyaMWSGJF9vseKKYmsDAsLMbrPLZXdJIikGAAAQzernv2i0DyBUYU2KjR8/XldffbUGDRqkMWPG6M0335QkLVq0KLCO0Sibb5pmk2X1zZo1S6WlpYFLYWFheIKPExd2v1BndjlTVZ4q/e7j31kdDtCu/MMn62MGSgAAgBhimscqxUiKAQhS2IdP1peSkqJBgwZpy5YtgVkoG1eFFRcXN6keq8/lciktLa3BBaEzDEP3nHWPJOkf2/6hj/Z9ZHFEQHj5k2IVNRUWRwIAAID2cKxSrENPbwHEgA7da7jdbn3xxRfq2rWrevXqpby8PC1dujTweHV1tVasWKERI0Z0ZFhx74wuZ+j6vtdLkh5Y9YCqaqssjggInxRniiSpvLbc4kgAAAAQKn9NmKljs086qBQDEKSwJsXuuecerVixQjt27NCaNWt0zTXXqKysTBMnTpRhGJoxY4Yeeughvfrqq/rss880adIkJScn68YbbwxnWGjGnUPuVE5SjnYf2a1nP3nW6nCAdtHcbLCpCamSpCPVRzo6HAAAAISBPylmIykGIEhhTYrt2bNH3/3ud9W3b19dddVVSkhI0OrVq9WjRw9J0k9+8hPNmDFDt99+u4YNG6avv/5aS5YsUWpqajjDQjNSE1I1+5zZkqQFny9gGCViiqFjB0j+pNjR6qNWhQMAAIA2qt+HupZKMQAhcoRz43/5y19afNwwDM2ZM0dz5swJZxhopYu6X6QrT7lSr219TT9Z+RP9/Yq/Kzsp2+qwgHbVydlJklRWXWZxJAAAAGgr05S8daMD7C1M2AYAzaETYRjVr06JFrPPnq1TMk7RwaqD+snKn6jGW2N1SEDImpt9MlApVkOlGAAAQCyoZfZJACEKa6UYok+SI0mPjXpMN7xxg9YWrdWcD+fof879nwblyZGkxlujoqNFKjxSqD1H9+hA5QEdqjqkkqoSlbhLdKT6iNwet9y1blV5quT2uFXtqZbkS1raDJsMw5AhQ4ZhyG7Y5bK7lGBPUII9wXfbVu+2vdFt27HbDptDTpuz+Wu7U07DKafdKYfhkM1mk6Fjr9vitf92c99B05xP3eKmDzTXX6vZ9Vr53La87tEjHZuQqv/Z0VMMAAAgdpgy5SUpBiBEJMXQRO/03np05KOavmy6Xt/2ulKcKfrZt34mm2FdYaFpmtpXvk9fHPpCXx76Ul8e/FJbDm9RUXmRPKbHsrgQGk+ldd8ZSTEAAIDYQqUYgFCRFEOzLuh2geaMmKNffPAL/fnLP6uytlL3nXOfnHZnh8Xw9dGvtWbfGq3et1of7ftIB6sONruey+5St07dVJBaoC7JXZSZmKnOiZ2V6cpUmitNLrtLifZEuRwuuey+i+RLtHnllWmagdser0fV3upARVm159htt8etam/DZf7bbo9btd5a1XprVeOtaXDdeFmNt0Ze0xuIwZR57L7Mpsvq3W+uWux4w3SbW97air/WPjfU9WocNfpCX7Qqlvbm7ylGUgwAACB6+Q85TVPyeH3HzTTaBxAskmLtrLnhY9HqylOulCFD9314n17b+pp2l+3WIyMfUU5yTlhe71DVIX207yOt3rdaa/at0Z6jexo87jAcOjnjZPXr3E/9s/rr1MxT1T21u7okd7G0ig3BKysrU7rSO+z16ifl0hLSJNFTDAAAIFZ4fDkx2UiKAQgSSTG06NunfFuZiZn66cqf6uPij3XlP67UzKEzdeUpV8pha9v/PuU15Vr/zfpAEmxzyeYGjzsMhwZmD9TZXc/W2V3P1hldzlCCPaFNrwl0SqBSDAAAIJZQKQYgVCTF4sQX+8r0r0/3aUvxUVVUe9Q1PVEDT0rX2NNylZOa2OJzL+h2gRZftliz35utzw5+pgdWPaA/bPqDvtf/e7qk1yWBypsTKXWXamPxRq0vXq+Pv/lYnx/4XLVmbYN1Ts08VWd3PVvndD1HQ3OHKsWZEvJ7Bppr8k9PMQAAgOjnHwlgSvLU9RSjUgxAsEiKxbjisir94h+f6e3Pv2n64NpC/eIfn2n8wDz96MI+6t/1+MmtXum99MdL/6jFXyzW/E/na0fpDv1y9S/14JoHNSh7kE7vcrq6deqmrKQs2Q27as1alVSVqLiiWFsPb9W2w9u058ieJsNLu3XqFkiCnZV3lrKSstr7IwAa9DlLT/AN2yx1l1oVDgAAANqRv9E+lWIAgkVSLIZ9WVSmSS+sVVFZlew2Qxf3z9W3enVWJ5dDe0oqtHLLAW0sPKy3Pi3Svz8r0i3De+rusacqNbH5ZvoOm0O3nHaLvtPnO3pt62t6efPL2la6TZ/s/0Sf7P+kVTH1SOuhoblDA5eTOp3Unm8ZOKHMxExJvp5i1Z5qhuQCAABEofqN9r11owPsrZxUCgD8SIrFqF0Hy/W9/1ujA0er1Senk568cbD65TWsBJs5tq++LCrT7/6zRW99WqSFH+7Uvz8r0m9vOFNn9z5+xVZqQqpuHnCzbh5ws/Ye3avV+1YHKsEOuw/La3plM2zqnNhZWUlZ6pXeS30y+uiUzFPUObFzuN86ENDcxBdpCWlyGA7VmrU6VHVIeSl5FkQGAACA9uKvFLNTKQYgSCTFYlB1rVe3v/ixDhyt1mn5aVo89RylJzVf/dUvL01P3zRU723Zr1+89pl2HqzQd59brbvGnKrbR59ywj8s+Z3ydVWfq8LxNoB2U3/2ScMwlJmYqf2V+0mKAQAAxACPh6QYgNDYrA4A7e93/9miz/eWKTPZqRcmnXXchFh95/fporfuPF9XD+kmryk9tnSzJr7wkQ4edXdAxEDH8lcsHqo6ZHEkAAAACIU//WXKlMckKQYgNCTFYszW4qN6ZsU2SdKD3xmk3LSWZ5asLznBoceuO0OPXHO6kpx2vb/1gK546gP9d8/hMEULhFdzs09Kx/qKlVSVdGQ4AAAACAMPjfYBhIikWBjVH7LVUX6zdLM8XlNj+ufq0kFdQ9rGtcMK9Nod56pnVrK+Plypa55dpb+uLWznSAHrUCkGAAAQ3YxjpWKBpJiNpBiAIJEUiyGffV2qNz/dJ8OQ7hl3apu21TcvVf+Ydp7G9M9Rda1XP3n5v5r96qdy13raKVrAOiTFAAAAYgeVYgBCRVIshvzvyu2SpCvOyG8y02Qo0pOcmn/zMM28+FQZhrR4zW7dMH+1ikqr2rxtwEpZSb7ZVQ9UHrA4EgAAALRVLZViAEJEUixG7D/i1r8/2ydJmnp+73bbrs1maPpFffTCxLOUlujQht2HdfmT72n19oPt9hpAuJjyHSAZRsMDpNzkXEnSN+XfdHhMAAAAaDv/8Z0pKsUAhM5hdQCRzO12y+0+NvtiWVmZhdG07G/rC1XjMXVGQYYGnpR+7IHKw9LhXVLpHqn0a6nqsOQuk9xHfJdat+T1SN4ayVsreWp9195ayawbKmmaGi1pbY5Xuw+Wq6raI2OhoQPpLmWlJOjYn6M6ZpMb0nEaniNOVdZa+vJdU3z99vaW77U0DgAAALSdPylmN0iKAQgOSbEWzJs3Tw888EBQzzHV8ckfr9fUnz/aLUmaNKSz9MlL0pYl0tfrpZId7fY6Lkl9pGP1hUfqLkCw3NYmSfM75UuSisqL5DW9shkUzQIAAESTQJ9905Sn7gd4u41jOgDBISnWglmzZmnmzJmB+2VlZSooKLAwouZ9suewVLJTj7r+qSvf+UDyuBuu0ClXSu8mpZ0kJXeWXKmSK01K6CQ5XJLdKdkcks0p2ey+23anZNik+jNo+kuUTVNLNhXrL2t3y2tK3TKTNfX83uqZndxw/XrPqbsThnePqHSkXPrVhLC/TGD4ZKP/97okd5HNsKnGW6NDVYeUnZQd9lgAAAAQHh5P3fBJO+cbAIJDUqwFLpdLLpfL6jBa5vXo0NLHtDThWSUaNZJHUnZfacAVUvfhUv5gXyKsHRmSxp0qZZx+UHcs3qAVB936y+uGpp7fTTPG9FGi096ur4cYZPFQZKfNqS5JXfRNxTfad3QfSTEAAIAo5q8UszF8EkCQqC+NZjVVMv82SRcVPqlEo0YHupwjTX5bumONdOHPpVMuaveEWH1n987SW3eep8sGdZXHa+rZFds09jcr9fone+X10kMMkc0/hHLP0T0WRwIAAICg1eW/TJNG+wBCR1IsWnlqpb/eLOOL1+U2HfqFd6qSb31D6n5OoyGL4ZWTmqjf3zRE828eqry0RO0+VKHpf96gCU+9r2VffkNyDNaq+9+v8fBJSeqd7pulddvhbR0ZEQAAANpZbd05h42kGIAgMXwyWi35ubRliWpsLk2s+rHS+49WsstpWThjT8vTuadk6/n3d2j+yu36fG+ZJi9cp55Zybp5eE9dM6Sb0pOti+94TNNUebVHR6pqdKSqVuXuWlXXelXt8fqu6267626bdaXZZuD5DbdVn83mS8UYhiHD8JVzG6or665/3+ZL2hhG3bp16/ieI0mGbHWP+a6brmfUrdNwu8d/fcO/HR17LKTPL8SJJY4esX4mV39SbHvpdosjAQAAQLD8P3qaUuCHeCrFAASLpFg02r5cWvOMJOmJ1Hu0umKA5vXNsTYmSSkuh6Zf1EffO6eHnl2xTX/+aLd2HqzQL9/YpHlvfaHhJ2dp7Gl5Ov+UbPXISpYRhoo2d61HB49W68BRtw4erdb+umvffbcO1N0+UlWrI1U1OuquFcVsHc/rrrA6BJ2ccbIkaevhrRZHAgAAgLao9XolUSkGIHgkxaJNTaX0zxmSpOohU/Ts6oGSTJ13SuQ0Cu+ckqDZl/bXnRf10Wsbv9YfV+3Sl0VH9N6WA3pvywFJUmayU2cUZKhPTicVdE5WQWayMpKdSk10KMXlkCFDXtNXh1RT6/Ulsdw1OlpVq8MVNdp/1K39R9w60Oi6rKo2pJgdNkOpiQ4lJzjkctiU4L/Yfdcuh01Ou63BjDaBIXn1J+isuzbr/uM1TZn+a/mqyerf95rHlpmq95ipwDL/Ol5TTbdRdy2p0XbNY6+vRtsMbMu/bd+y0HOUwT/R46hVYagvF4TA7JPNvDl/Umx32W65PW657BE+qQYAAACa5fHlxKgUAxA0kmLhFI598trnpZIdUmq+PuhxhzwffqmeWckq6JwchhdrmxSXQzed3UM3nd1D2/cf1dJN32jppm/03z2lKqmo0fKv9mv5V/vb/XWddkNZKS5ldUpQdiffdZdOrsDtrE4upSU6lJroDFwnOm1hqVxD88rKypT+oLUx5CbnqnNiZx2qOqRNBzdpcM5gawMCAABAq/kP3X2N9n1ZMTtJMQBBIikWTWoqpQ9+67s9epZW7KqSJJ0bQVVix9O7Syf9cGQn/XDkyXLXevTFviP6757D2nmgQntKKrSnpFJl9fp6Scd6bzlthlITfVVknRIdSkt0qkuqS11SfYku33WCcurupyc5SXDhhAzD0OCcwfrP7v9oQ/EGkmIAAABRylPXDsXOOQCAIJEUiyaf/l0qL5bSu0tnfFdr3lstKTqSYvW5HHadWZChMwsyrA4FMe5EEwH4k2Iff/OxJg+c3EFRAQAAoK2OtS0xA5Vi9VudAEBr2KwOAEFYv8B3fdZkHa019FWRbwa/oT0yLQwKiF7ndD1HkrRm3xpV1lZaHA0AAABCUVtXKhbqjOoA4hdJsWjxzSbp6/WSzSmd+T19UnhYXlM6KSNJuWmJVkcHRKVTM0/VSZ1OUpWnSu9//b7V4QAAACAE/omnaLQPIFgkxaLFptd816eMkTp10ce7SiRRJQa0xDRbHj5pGIbG9hwrSXp588sdERIAAADaQf1G+7XeukoxkmIAgkRSrJ2d6CQ8ZJte912fdqUkaf1uX1JsSPeM8LweEEOMFqaCve7U62TI0Ad7P9CXh77swKgAAADQHrx1STEa7QMIFkmxaHBwm7T/C9/QyVMvkWma2rD7sCRpCJViQJt0S+2mS3peIkmat2aevKbX4ogAAABwIvV/9PTUFSbYqRQDECSSYtFg+3LfdfdzpKQM7SmpVGlljRLsNvXLS7M0NCCSnWj2Sb+Zw2YqyZGkj4s/1jOfPBPmqAAAANCe6iafZPgkgKCRFIsG/qRYr5GSpM/3+mad7JPbSQkOvkLgRIwTlNLnpeTp5+f8XJL07CfPauFnCzsgKgAAALQHf6N9cmIAgkVGJdJ5PdLO93y3e/uSYpv2lkqSTsunSgxoL1ecfIV+cPoPJEmPrX9M9394vyprKy2OCgAAAM051mjfDCTF6CkGIFgkxSLd/i+lyhLJmSLlD5EkbdrnqxQb0JWkGNCSYCe++NHgH+muoXfJkKFXtryi777xXX38zcdhig4AAADtwVPXaP9EowMAoDGSYpHu6/W+65OGSHaHJGlT3fDJAfnpVkUFRJWWZp9sbPLAyZo/dr6yk7K1rXSbJv57on7xwS/0Tfk3YYwQAAAAwfAf3ZmS6nJiNNoHEDSSYmEUzIn4ce1Z57s+aagkqaS8WntLqyRJ/bumtn37AJo4p+s5evWKV3V1n6slSa9tfU2XvnKpfv3Rr1VcUWxxdAAAAKgvMHySs1sAQWK3Een8lWLdhkmSvqgbOtm9c7JSE51WRQXEvIzEDM0ZMUd/HP9HDckZompvtf70xZ809u9jdeeyO7W8cDk9xwAAACIAwycBhMphdQBoQXWFVLzJd7uuUmxL8VFJ0qm5nayKCog6bTlAOqPLGXronGe0ovBDvbx9gTaX/lfLCpdpWeEyuewuDc4ZrP5Z/dUno4+6JHdRVmKWEh2Jsht22Qybarw1qqipUGVtpSpqK1RZU3ddW+lbVlMRuO9fr9ZbK6+88pgemaYZuPaaXplq2CetfkVq/ffZuFK1wX2j+eVNnnO87R3n+a2Np0kVbSvjQXwa02OMJpw8weowAACRpu44wzR9F4lG+wCCR1Isku3/UjK9UnK2lJYvSdq235cUOzmHpBgQTqu2HdSf1+zSR1u+Vk3lEdnklV3jlJIwWDWZn8qTukVuHdHqfau1et9qq8MFYlbP5FyJpBgAoAX+SjEbSTEAQSIpFsmKv/Bd5w4ILNpaVyl2SheSYkC7Mk1p53uq+O/r2rNplU6pKtRjOiqn4ZESG61bKpml0nanQ+sTE7U5wamdTqcO2G06YLer2jDkkSGvITlNU8leU0mmt+7aVIrXq6RmlifXLXeYpmxS3cWUYUp2+QqqjHozapotHPiZx7kdzGONC7XMegtavY1gXts4/mOIX5mundI5VkcBAIg0xxrtm4GeYjaaAwEIEkmxSOYfOpnTTFKMSjHghPxDDU84DG//V9Jrt0tfr1OypFN9T2rIsEmGXTJsMm12mTLUQ4a6VUre8hp5zWp5TVNm2LM5Vv4CSqoKHe+/aUwqAwBoWSApRqUYgCCRFItkgaRYf0lSWVWNio+4JTF8Emg3X38s/eHbkrtMlXLpH7XDtS1lsG6ecLG6F/SQEtOlhE6BvhVSXcWWfJVcjXeiZVU12rG/XNsPHFVxmVuHKqpVUl6tQ+U1ctd6VOPxqrrWqxqPKcPwHbw5bIbsjS+GIVvdtd3mv63AMpv/cZuvf0YwfdPMIDN3wabCgk0MNu6T1r7bRrS7oE8Xq0MAAEQw05S8/p5iNpJiAIJDUiyS+YdP1lWKbaurEstNcymNmSeBtqsqlf5yk+Qu02bXQN1U+v+UknWSXv5/I5TVyRXSJtMSnTqjIENnFGS0b6wAAAAIqP974LGeYhYFAyBqMeo6UlWVSkf2+W536Sfp2NDJk+knBrTKCSuiVjwsHdmroyk9dFXpDJXaszT/lmEhJ8QAIFY8+OCDGjFihJKTk5WRkdHsOrt379aECROUkpKi7OxsTZ8+XdXV1Q3W+fTTTzVy5EglJSXppJNO0ty5c4OuVgWAE/HSaB9AiKgUi1SHtvuuU3KkxDRJ0rb95ZLoJwa0i8rD0trnJUlza2/RUSXrrtGn6NRc+hcBQHV1ta699loNHz5czz//fJPHPR6PLrvsMnXp0kXvv/++Dh48qIkTJ8o0TT355JOSpLKyMl188cUaPXq01q5dq82bN2vSpElKSUnR3Xff3dFvCUCM8feMNXWspxjDJwEEi6RYpPInxTr3DizafciXFOuZlWJFREBs+e9LUm2lStNO1V+L+6lzSoJuPb+X1VEBQER44IEHJEkLFy5s9vElS5Zo06ZNKiwsVH5+viTpscce06RJk/Tggw8qLS1NL774oqqqqrRw4UK5XC4NHDhQmzdv1uOPP66ZM2cG1QsRAFriodE+gBAxfDJSNZsUq5Akde+cbEVEQNQJzD7Z3AHSptclSa/qQkmGJg7vqRQXvxMAQGusWrVKAwcODCTEJGncuHFyu91av359YJ2RI0fK5XI1WGfv3r3auXNns9t1u90qKytrcAGAltRvtG+jUgxAkEiKtcDSA7NDO3zX9ZNiB+uSYlkkxYA2qSyRdq+SJP3f/n4yDOnaYd0sDgoAokdRUZFyc3MbLMvMzFRCQoKKioqOu47/vn+dxubNm6f09PTApaCgIAzRA4gF9X/z9NJoH0CISIq1oK0HZv5x7iE5uM13neVLih2uqFZZVa0kqSCTpBjQJjvfl0yPSpJ7aY+ZoxEnZyk/I8nqqAAgrObMmSPDMFq8rFu3rtXba64K1zTNBssbr+Nvsn+8oZOzZs1SaWlp4FJYWNjqeADEr0BPMYZPAggSY4VaMGvWLM2cOTNwv6ysrON+sSzZ6bvO7Cnp2NDJnFSXkhLsHRMDEOUCwycbJ6j3rJUkbZBvZteL+jWsZACAWDRt2jTdcMMNLa7Ts2fPVm0rLy9Pa9asabCspKRENTU1gWqwvLy8JhVhxcXFktSkgszP5XI1GG4JAMdz7OjODAyfpFchgGCRFGuBZQdmtdXS0W98t9O7S6KfGNCu9vj63Swt8yW5R/XtYmU0ANAhsrOzlZ2d3S7bGj58uB588EHt27dPXbt2leRrvu9yuTR06NDAOrNnz1Z1dbUSEhIC6+Tn57c6+QYAJ+L1HrvN7JMAgsXwyUh0ZK8kU7K7pBTfwStJMaCdeL3S3g2SpPWek1XQOUm9spnRFQDq2717tzZu3Kjdu3fL4/Fo48aN2rhxo44ePSpJGjt2rAYMGKCbb75ZGzZs0H/+8x/dc889mjp1qtLS0iRJN954o1wulyZNmqTPPvtMr776qh566CFmngTQrvwzT0r0FAMQPCrFIlHp177rtPxAB0ma7AMh8JfS1x8+WbZHqimXx3Bom5mvb/fozMkZADRy3333adGiRYH7gwcPliS9++67GjVqlOx2u958803dfvvtOvfcc5WUlKQbb7xRjz76aOA56enpWrp0qe644w4NGzZMmZmZmjlzZoPWFAAQKv/hm8dbLylGVgxAkEiKRaKyuqRY+rHZ8KgUA9rJgS2SpCJHvjyy64yCDGvjAYAItHDhQi1cuLDFdbp376433nijxXUGDRqklStXtmNkANCQt0GlGEkxAMFh+GQkKq2baaleUmxPSaUkqRszTwJtc3CrJOmrGl+T5zNJigEAAEQdf6V//UoxZp8EECySYu3MrPdLRcgCwydPkiR5vaaKSqskSfkZiW3fPhAnArNP1j9AOrBZkvRlbVc5bIb6dU21IjQAAAC0gwaVYpzdAggSu41IFBg+6UuKHSyvVrXHK8OQctNIigFtcmi7JGmHmaee2SlyOewWBwQAAIBQNegpRqUYgCCRFItEpXt81+kFkqR9pb6hkzmpLjntfGVAm5TtlSTtNbN0chdmnQQAAIhmHu+x2wyfBBAsMiyRqKze7JOS9tUNncxLT7IqIiAq+YczN5h9sm548j4zS6fkdLIiLAAAALST+sMnyYkBCBZJsUhTWy1Vlvhup3aVJO077KsUy09n6CTQJlWlUvURSdI+szNJMQAAgCjlT4D5h0/ajEZ9ZAGgFUiKRZry/b5rm0NKzJB0rFKsK5ViQNvUDZ0sVSdVKlG9s0mKAQAARDN/pRj9xACEgqRYGIX0S8XRb3zXKV0C06fsZeZJICT+2ScD6oZO7vV2liR1yyTRDAAAEM0ClWI2kmIAgkdSLNL4K8VSugQW+YdPUikGhMh/jFTXr6/IzJTLYVPnlATrYgIAAEDI/D1j6w+fBIBgkRSLNEeLfdedcgOLAsMnqRQD2qbigCRpv5mhkzKS6DsBAAAQ5fzDJ5l5EkAoSIpFmnJ/UixHku+Xj2/K/D3FSIoBwWgyfLL8oCTpkFKVn0HlJQAAQLRq0mifUjEAISApFmmONhw+efCoW7VeUzZDykklKQaEwl9er4q6pJiZSo8+AACAGOCp+w2URvsAQkFSLNI0qhQrPuKWJGV3csnOrx9A29QlxUqoFAMAAIgJ3rpKMc6VAISCpFik8fcUS/ElxfbXJcW6pLqsigiIHXU9xQ6ZqQxHBgAAiGL+FBiN9gG0BUmxSHO0YaWYPymWQ1IMCJpZ13i16fDJNBLNAAAAMcDfaJ/hkwBCERFJsaefflq9evVSYmKihg4dqvfee8/qkELWpLF3sBoNn9x/lEoxoN1UHJLka7TfOYV/UwAAANHKnwMjKQagLSxPir300kuaMWOG7r33Xm3YsEHnn3++xo8fr927d1sdWsfz1EqVJb7bdY32GT4JtJOaKqn6qCSpxExVVkqCxQEBAACgrTz0FAPQBpYnxR5//HFNmTJFt956q/r3768nnnhCBQUFeuaZZ6wOreNVHT52OzFDUr2kWCeSYkCoDMMIDJ2sMe0qU7KyOpEUAwAAiHZ1OTFRKAYgFJYmxaqrq7V+/XqNHTu2wfKxY8fqww8/tCgqC/mrxBLTJbtDUv1KMZqCA21Sl3QuVYqSExxKTnBYGw8AAABC5u8ZW+v1SqJSDEBoLD0rPHDggDwej3Jzcxssz83NVVFRUbPPcbvdcrvdgftlZWVhjbFD+ZNiSZmBRcVHqiQxfBJosyrfvuKImUSVGAAAQIyoy4nJTqkYgBBYPnxSqhvaVI9pmk2W+c2bN0/p6emBS0FBQUeEGJLAjHetVdcEvH5SjJ5iQOj8E18YMiT3EUnSESXTZB8AACDKNW60T04MQCgsTYplZ2fLbrc3qQorLi5uUj3mN2vWLJWWlgYuhYWFHRFqx2hUKVburlV5tUcSSTGgzdy+SrGjZpKyabIPAAAQE2i0D6AtLE2KJSQkaOjQoVq6dGmD5UuXLtWIESOafY7L5VJaWlqDS8wIJMU6S5IOHPVViSU57UpJsFsVFRAb6pJiR5SsTJJiAAAAMcFfKWajVAxACCzvND1z5kzdfPPNGjZsmIYPH6758+dr9+7duu2226wOreNVNhw+WX/o5PGGkwI4PrPuIEnSsZ5iSlZGktOiiAAAANCe/JViJMUAhMLypNj111+vgwcPau7cudq3b58GDhyot956Sz169LA6tI7XaPgk/cSAduQ+1mg/jaQYAABATAgkxSKiWzaAaGN5UkySbr/9dt1+++1Wh2E9f1IsuW74ZHm1JCmLoV5A2wUa7ScpLTEidn0AAAAIkX8kTV1OjNknAYSEfHokaTT7ZIk/KdaJpBgQisDsk4ZxbPikmazURCrFAAAAYoG/Uox2MwBCQblEC9xut9xud+B+WVlZeF+w0fDJQ3VJscxkkmJAm/lnnxTDJwEAAGKFx2T2SQCho1KsBfPmzVN6enrgUlBQcMLn+CtTQtJo9smSCl9SrDPDJ4G28w+fNJMZPgkAABDl/Ckwb12lGMMnAYSCpFgLZs2apdLS0sClsLAwvC9IpRjQrvyzTxoypKpSSb7ZJ6kUAwAAiA3+SjFyYgBCQblEC1wul1yuDpr50VMTGN4V6ClGpRjQbszqchmSyk0XSTEAAIAo50+Cmf5G+wyfBBACKsUiRVW9fmWJ6ZKkkvIaSVImSTGg7aorJEmVSmT4JAAAQIyxUSoGIAQkxSKFv0rMmSLZfSfs/uGTnRk+CYSk/uyTZo0vKVZluJSSQFIMAAAgltioFAMQApJiYRTUtMD+pJgrVZJUWe1RZY1HkpSZwlAvoK2MuqSYLSGFgyYAAIAo1/hojsM7AKEgKRYp6mbGU2KapGP9xJx2Q51cVLUAbeL1yPD6hiM7klIsDgYAAADtjdknAYSCpFikqGpYKVZ/5smgKs4ANGF4awO3HQkkxQAAAKJd43MkzpkAhIKkWKTwV4q5GlaKMfMk0A48viqxWtOmBFeixcEAAACgvdk5swUQAnYdkcJ9/EoxAG1UlxSrlEvJDEcGAACIeo0Lw5h9EkAoSIpFCn9SzN9TrJxKMaC9+IdPVsql5AS7xdEAAACgvTGREoBQkBSLFIGeYumSpEMVvsoWZp4EQmeapu9GXaVYhelSSgKVYgAAALGGRvsAQkFSLFIEeor5hk8GKsUYPgm0ndc/fDJBSVSKAQAARL3GKTAKxQCEgqRYpGg0fPJQXaP9DJJiQNvV7ylGUgwAACDmMHwSQChIirWzwHCtYDWqFCur9J3EZyQzfBIIlam6f4/+nmKmS8kMnwQAAIh+jYZL0mgfQChIikWKQE8xX6WYPymWlkhSDGgzj6/ysoJKMQAAgJhETzEAoSApFikaVYqV1iXF0qkUA9qubvhklRKU7KJSDAAAINbYOLMFEAJ2HZHCXeq7TvTNPllW5RvuRaUYEDr/8EmjbvhkhZmoZCeVYgAAANGuaaN9KsUABI+kWKSoVylmmuaxSrEkkmJAm9UNn6xUglJcJMUAAABiDUkxAKEgKRYJTLNBT7GKao88Xl+FS1oSQ72ANqurFKuSS0k02gcAAIh6jXNgdmafBBACkmKRoKZSMj2+267UQJWY024oiaFeQMj8s8EaXt+/L7ecSqHRPgAAQMyhUgxAKEiKRQJ3XZWYYZMSUlRWdWzmSYOdO9B2Xt+/KbfpVBJJMQAAgJhDoRiAUJAUiwTV5b7rhFTJMFRaQT8xoF0FKsUcSmH4JAAAQNQzGrXaZ/gkgFCQFIsE1Ud91wnJko7NPJlKUgxoH3U9xdxKUDKVYgAAADGHETYAQkFSLBJUV/iuE1IkiZkngXZm1lWKVcuhRJJiAAAAUa9po31r4gAQ3dh1RAL/8ElnXaVYpb+nGMO8gPZg1tZViplOJTpIigEAAMQaGu0DCAVJsUhQ4+8p1kkSlWJAezHln33SlxSrMZxy2jlgAgAAiDUkxQCEgqRYJAg02vdVivmTYmkkxYB2YdYlxby2BPpNAAAAxIDGR3QkxQCEgqRYO/NXpgQlkBTz9RQrq6JSDGhXdUkxOVzWxgEAAICwoKcYgFCw64gEgZ5idUmxQE8xkmJAW5imf/ikr9G+aScpBgAAEAsaF4bZbFSKAQgeSbFIUOOffdLfaN9X1UKlGNBO6irFTHuixYEAAAAgHBg+CSAUJMXCxGgyyr0FjYZPHuspxuyTQLuoS4oZzgSLAwEAAEA42EmKAQgBSbFI0Hj4JD3FgHbh7/FnM/09xZIsjAYAAADtpXERAjkxAKEgKRYJGjfar6sUS6WnGNAu/D3FDAeVYgAAALHITk8xACFgfF4L3G633G534H5ZWVl4XqheTzGv11R5te8EvpOLrwdoD4bp+zdlc1IpBgAAEBMaN9qnVAxACKgUa8G8efOUnp4euBQUFITnhQKVYp1UXl0bWJyaSFIMaIvA7JP+YZQOZp8EAACIRcw+CSAUJMVaMGvWLJWWlgYuhYWF4XmhQE+xZJW7fRUtdpshl4OvB2hPtgRmnwQAAIhF5MQAhIJSpBa4XC65XB1QWRIYPpmio25fP7FOLocMSoCBduV0UikGAAAQCxqfKTH7JIBQUIoUCaqP+q4TUnTUTT8xoL0ZktymQwkJ/LsCAACIRQyfBBAKkmKRoLpepViVr6cYSTGg7cy6XmKSVC2nXA67hdEAAACgvTQeVUOjfQChICkWCer1FDvq9iXFUlycvAPtyS2nXE52eQDQGg8++KBGjBih5ORkZWRkNLuOYRhNLs8++2yDdT799FONHDlSSUlJOumkkzR37tzAJCgA0J7sHOYBCAHlSFbzeuv1FOuko263JKlTotPCoIDYYqguKUalGAC0SnV1ta699loNHz5czz///HHXW7BggS655JLA/fT09MDtsrIyXXzxxRo9erTWrl2rzZs3a9KkSUpJSdHdd98d1vgBxB8qxQCEgqSY1WorJf8Qr4Rklbt9VWOdqBQD2lW16WBGVwBopQceeECStHDhwhbXy8jIUF5eXrOPvfjii6qqqtLChQvlcrk0cOBAbd68WY8//rhmzpzJhEIA2qTxHoSkGIBQcIZoNX8/MRmSIykwfJKeYkD7citBiU6SzQDQnqZNm6bs7GydddZZevbZZ+X1egOPrVq1SiNHjmwwk/e4ceO0d+9e7dy5s9ntud1ulZWVNbgAQGuQFAMQCpJiYdLqXz/9M086kyWbrV5PMZJiQHsxTKlGdirFAKAd/fKXv9Tf/vY3vfPOO7rhhht0991366GHHgo8XlRUpNzc3AbP8d8vKipqdpvz5s1Tenp64FJQUBC+NwAgqjU+3aKnGIBQsOuwWqCfWLIkBWafTCUpBrRZ/WbOvtkn2eUBiF9z5sxptjl+/cu6detavb2f//znGj58uM4880zdfffdmjt3rh555JEG6zT+kdC/Xz7ej4ezZs1SaWlp4FJYWBjkuwQQrxiSDSAUZF6sVlPpu3YmSZLKqRQDwqJWdoZPAohr06ZN0w033NDiOj179gx5++ecc47Kysr0zTffKDc3V3l5eU0qwoqLiyWpSQWZn8vlajDcEgBay05SDEAIyLxYzZ8Uc/iSYkf8PcUS+WqA9lRj2pVApRiAOJadna3s7OywbX/Dhg1KTExURkaGJGn48OGaPXu2qqurlZCQIElasmSJ8vPz25R8AwCpueGTJMUABI/Mi9Vqq3zXzkRJxyrFaLQPtJ1ZN7OrIalGzD4JAK21e/duHTp0SLt375bH49HGjRslSaeccoo6deqkf/7znyoqKtLw4cOVlJSkd999V/fee69+8IMfBCq9brzxRj3wwAOaNGmSZs+erS1btuihhx7SfffdxzAnAO2O3QqAUJB5sVqjSjFmnwTCo1YOpdCBFQBa5b777tOiRYsC9wcPHixJevfddzVq1Cg5nU49/fTTmjlzprxer3r37q25c+fqjjvuCDwnPT1dS5cu1R133KFhw4YpMzNTM2fO1MyZMzv8/QCIPYYaZsGoFAMQCjIvVmtUKcbsk0B41MguJ5ViANAqCxcu1MKFC4/7+CWXXKJLLrnkhNsZNGiQVq5c2Y6RAUDzbJSKAQgBZ4hWa1wpVkWlGNBe/MMnJd/wSSeVYgAAADGJpBiAUHCGaDV6igEdolZ2OSirBwAAiAmNc2Ac5gEIBUkxq9WrFPN6TZVXeyQx+yTQ3qpNB7NPAgAAxCh6igEIBWeIVgtUiiWpvLo2sJhKMaDtTPPY7JO1sjN8EgAAIEYxqy2AUHCG2M78J+Gt5q8UcyYFmuw7bIZcVLQA7cqXFONgCQAAIBZRKQYgFGRerOavFHMkBvqJpbgc/NIBtLNqOZRApRgAAEBMIicGIBScIYaJoVbulWsqfNfORB111/UTY+gk0C78s08yfBIAACC2NC4iYPZJAKHgDNFqNf5KsSRV1FWKJSfYLQwIiE01csjJsGQAAICYxPBJAKHgDNFqtf6eYomqqJt5kqQY0P5qTAc9xQAAAGJE46M6KsUAhIKkmNXqV4rV+JJiSSTFgPZRN+9FYPikjV0eAABALKJLBoBQsOuwmr/RvjNRldX+4ZP0FAPam8dwyEZZPQAAQExiojIAoSApZrWauuGTjqTA8EkqxYD2Z9qcVocAAACAdtJ4uKSdpBiAEJAUs1q9SrFATzEnSTGgPRybfdKU10YFJgAAQKxonAOjpxiAUJAUs1q9SrFKGu0DYUOlGAAAQOxo0mifM1sAIWDXYbVmKsWS6CkGtDuTSjEAAICYQaUYgPZAUsxq9SvFavyN9qkUA9qbl0oxAACAGNKopxgTKgEIAUkxqzXXU4ykGNAu/D3FJEkkxQAAAGIGlWIA2gPjiVrgdrvldrsD90tLSyVJZWVlx33OkYoj8lR6JKPl9SRJpikdrZBkShW1Ki0tldddIbOm4sTPBaKY//9v0zRPsGb7MewkxQAAAGJFk55i5MQAhICkWAvmzZunBx54oMnygoKCVj0//bb01r/Yr/oEbv7gCekHrX8mELUOHjyo9PQg/p2EyDAl05YQ9tcBAABAx2hcGcbwSQChICnWglmzZmnmzJmB+16vV4cOHVJWVpaMFspzy8rKVFBQoMLCQqWlpXVEqGHB+4g8sfJeSktL1b17d3Xu3Dmsr9OgEs3O7g4AACBWND4da+n8DACOh7PEFrhcLrlcrgbLMjIyWv38tLS0qE5c+PE+Ik+svBdbB86dzfBJAACA2NE4B0alGIBQhPWMtGfPnjIMo8HlZz/7WYN1du/erQkTJiglJUXZ2dmaPn26qqurwxkWgDhjSJKd4ZMAAACxwmjUVYycGIBQhL1SbO7cuZo6dWrgfqdOnQK3PR6PLrvsMnXp0kXvv/++Dh48qIkTJ8o0TT355JPhDg1AjKs/+ySVYgAAADGE2ScBtIOwJ8VSU1OVl5fX7GNLlizRpk2bVFhYqPz8fEnSY489pkmTJunBBx+M2uFhLpdL999/f5Ohl9GG9xF5YuW9WPE+DAdJMQAAgFjRdPZJkmIAghf2hj6//vWvlZWVpTPPPFMPPvhgg6GRq1at0sCBAwMJMUkaN26c3G631q9fH+7QwsblcmnOnDkxkbjgfUSWWHkvHf0+DEkGwycBAABiRuPG+vQUAxCKsFaK3XnnnRoyZIgyMzP10UcfadasWdqxY4f+7//+T5JUVFSk3NzcBs/JzMxUQkKCioqKmt2m2+2W2+0O3C8rKwvfGwAQM2wMnwQAAIgZjXNg5MQAhCLoSrE5c+Y0aZ7f+LJu3TpJ0l133aWRI0fq9NNP16233qpnn31Wzz//vA4ePBjYXnNT55qmedwpdefNm6f09PTApaCgINi3ACAOGY7orq4DAADAMfUb7RtG8+eVAHAiQVeKTZs2TTfccEOL6/Ts2bPZ5eecc44kaevWrcrKylJeXp7WrFnTYJ2SkhLV1NQ0qSDzmzVrlmbOnBm4X1ZWRmIMQPNMX6N9Q5LNGfYWigAAAOgg9XNgdhJiAEIU9Flidna2srOzQ3qxDRs2SJK6du0qSRo+fLgefPBB7du3L7BsyZIlcrlcGjp0aLPbcLlcUd9PCUDHME1v4LbNRk8xAACAWFE/DUaTfQChCluj/VWrVuk3v/mNNm7cqB07duivf/2rfvjDH+qKK65Q9+7dJUljx47VgAEDdPPNN2vDhg36z3/+o3vuuUdTp06N2Jknmxs+erzZNf1WrFihoUOHKjExUb1799azzz7bQdEeX7DvY/ny5c0Olf3yyy87MOrmff311/re976nrKwsJScn68wzzzzhRA2R+J0E+z4i9Tvp2bNns3Hdcccdx31O+L4PM3DL7qSnGAAAQMyolwezhX36OACxKmzjiVwul1566SU98MADcrvd6tGjh6ZOnaqf/OQngXXsdrvefPNN3X777Tr33HOVlJSkG2+8UY8++mi4wmoXp512mt55553Afbvdftx1d+zYoUsvvVRTp07Vn/70J33wwQe6/fbb1aVLF1199dUdEe5xBfM+/L766qsGCcsuXbqEJbbWKikp0bnnnqvRo0frX//6l3JycrRt2zZlZGQc9zmR+J2E8j78Iu07Wbt2rTweT+D+Z599posvvljXXntts+uH9fsw6yXFHAyfBAAAiBX1e4oxfBJAqMJ2ljhkyBCtXr36hOt1795db7zxRrjCCAuHw3HC6jC/Z599Vt27d9cTTzwhSerfv7/WrVunRx991PKkWDDvwy8nJ6dViZqO8utf/1oFBQVasGBBYNnxetr5ReJ3Esr78Iu076RxUu5Xv/qVTj75ZI0cObLZ9cP5fZimLzlnSHIw+yQAAEDMqD/bJMMnAYSKQtMQbNmyRfn5+erVq5duuOEGbd++/bjrrlq1SmPHjm2wbNy4cVq3bp1qamrCHWqLgnkffoMHD1bXrl110UUX6d133+2AKFv2+uuva9iwYbr22muVk5OjwYMH67nnnmvxOZH4nYTyPvwi7Tupr7q6Wn/60580efLk484IFNbv41ihGJViAAAAMaT+saXNRlIMQGhIigXp7LPP1h/+8Ae9/fbbeu6551RUVKQRI0bo4MGDza5fVFTUZCbN3Nxc1dbW6sCBAx0RcrOCfR9du3bV/Pnz9fLLL+uVV15R3759ddFFF2nlypUdHHlD27dv1zPPPKM+ffro7bf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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot(d2)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.7" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/artefacts/library.py b/artefacts/library.py new file mode 100755 index 0000000..223984f --- /dev/null +++ b/artefacts/library.py @@ -0,0 +1,286 @@ +#!/usr/bin/env python3 +""" +Shared functions for the artefact notebooks. +""" +import numpy as np + + +def _fit_exponential(t, I, Iss, i1, i2, cutoff, invert, plot=False): + """ + Fits a single exponential to ``I - Iss`` on the segment ``i1:i2``. + + The exponential is assumed to be decreasing. For an increasing exponential, + set ``invert=True``. + + If the signal on ``i1:i2`` dips below ``cutoff``, the upper bound ``i2`` + will be reduced. + + Returns ``tau, I0``. + """ + + # Find points for exponential + ilog = I[i1:i2] - Iss + if invert: + ilog = -ilog + + # If any zeroes are found, this is almost certainly due to noise. + if np.any(ilog < 0): + # Find where the signal dips below a set signal-to-noise ratio + i = np.where(ilog < cutoff)[0][0] + # Cut off values after that point, and update i2 accordingly + ilog = ilog[:i] + i2 = i1 + i + tlog = t[i1:i2] + ilog = np.log(ilog) + + # Calculate means, residuals, coefficients + mx = np.mean(tlog) + my = np.mean(ilog) + rx = tlog - mx + ry = ilog - my + b = np.sum(rx * ry) / np.sum(rx ** 2) + a = my - b * mx + + # Get tau and I0 estimates + tau = -1 / b + if invert: + I0 = -np.exp(a) + Iss + else: + I0 = np.exp(a) + Iss + + if plot: + print(f'Tau* = {tau:.3f} ms') + print(f'I0* = {I0:.3f} pA') + + fig = plt.figure() + ax = fig.add_subplot() + ax.plot(tlog, ilog, lw=3, label='Data') + ax.plot(tlog, a + b * tlog, '--', label='Least squares fit') + ax.legend() + plt.show() + + return tau, I0 + + +def _integrate_current(t, I, Iss, i0, i3, cutoff, dt, invert): + """ + Integrates the I[i0:i3] and returns the result. + + If the initial points are below cutoff, ``i0`` will be increased. + """ + # Get segment containing transient + iup = I[i0:i3] - Iss + if invert: + iup = -iup + + # Increase i0 if necessary + i = np.where(iup > cutoff)[0][0] + + iup = iup[i:] + i0 += i + + # Integrate + if dt is None: + return np.trapz(iup, t[i0:i3]) + return np.trapz(iup, dx=dt) + + +def estimate_cell_parameters( + t, I, T, dV, dt=None, f1=0.1, f2=0.8, f3=0.8, f4=1): + """ + + Arguments: + + ``t`` + A time vector, starting at 0 and going up to and/or including time 2T. + ``I`` + The corresponding current vector. + ``T`` + The duration of both steps (each has duration T). + ``dV`` + The difference ``V1 - V2``, where ``V1`` is the command voltage during + the first, and ``V2`` during the second step. + ``dt`` + Sampling interval, or ``None`` to assume irregular sampling. + ``f1=0.1`` + The start of the segment where an exponential is fit, as a fraction of + ``T``. + ``f2=0.8`` + The end of the segment where an exponential is fit, as a fraction of + ``T``. If the given signal is noisy, a shorter interval may be used. + ``f3=0.8`` + The start of the segment used to estimate the steady-state current, as + a fraction of ``T``. + ``f4=1.0`` + The end of the segment used to estimate the steady-state current, as + a fraction of ``T``. + + Returns: + + ``Rs`` + The estimated series (or access) resistance. + ``Rm`` + The estimated membrane resistance. + ``Cm`` + The estimated membrane capacitance. + ``points`` + A tuple ``(tau, I01, a1, b1, Iss1, c1, d1, I02, a2, b2, Iss2, c2, d2)`` + where ``tau`` is the estimated time constant, ``Iss`` are current + steady-state values, ``I0`` are initial values for the fitted + transients, and where the remaining numbers give array indices suitable + for drawing fitted transients and steady states. + + """ + # Get indices + f = np.array((f1, f2, f3, f4, 1, 1 + f1, 1 + f2, 1 + f3, 1 + f4)) * T + if dt is None: + i = np.searchsorted(t, f) + else: + i = np.rint(f / dt).astype(int) + i1, i2, i3, i4, iT, i5, i6, i7, i8 = i + + # Estimate I1 and I2 + I1 = np.mean(I[i3:i4]) + I2 = np.mean(I[i7:i8]) + dI = I1 - I2 + + # Estimate the noise + cutoff = np.std(I[i3:i4]) + np.std(I[i7:i8]) + + # Estimate tau and I0 + tau1, I01 = _fit_exponential(t, I, I1, i1, i2, cutoff, False) + tau2, I02 = _fit_exponential(t - T, I, I2, i5, i6, cutoff, True) + tau = 0.5 * (tau1 + tau2) + + # Estimate charge + Q11 = _integrate_current(t, I, I1, 0, i3, cutoff, dt, False) + Q12 = _integrate_current(t, I, I2, iT, i7, cutoff, dt, True) + Qm = 0.5 * (Q11 + Q12) + tau * dI + + # Estimate rest + Rs = tau * dV / Qm + Rm = dV / dI - Rs + Cm = Qm * (Rm + Rs) / (Rm * dV) + + # Gather points for drawing + points = (tau, I01, i1, i2, I1, i3, i4, I02, i5, i6, I2, i7, i8) + + return Rs, Rm, Cm, points + + +def _test_one_shot(): + """ Generates data and shows the results of a one-shot test. """ + + import myokit + import matplotlib.pyplot as plt + + m = myokit.parse_model(''' + [[model]] + amp.Vm = -70 + + [engine] + time = 0 [ms] in [ms] bind time + pace = 0 bind pace + + [amp] + Rs = 11.7e-3 [GOhm] in [GOhm] + Cm = 31.89 [pF] in [pF] + Rm = 0.5003 [GOhm] in [GOhm] + Vc = 1 [mV] * engine.pace + in [mV] + dot(Vm) = (Rm * I_obs - Vm) / (Rm * Cm) + in [mV] + I_obs = (Vc - Vm) / Rs + in [pA] + ''') + m.check_units(myokit.UNIT_STRICT) + + T = 10 + V1 = -60 + V2 = -70 + dV = V1 - V2 + + p = myokit.Protocol() + p.schedule(start=0, level=V1, duration=T, period=2*T) + p.schedule(start=T, level=V2, duration=T, period=2*T) + + if True: + N = 2000 + dt = (2 * T) / N + print(f'Using dt={dt} for a total of {N} samples') + else: + dt=None + print('Using adaptive time steps') + + s = myokit.Simulation(m, p) + s.set_tolerance(1e-12, 1e-12) + s.pre(2 * T) + s.reset() + d = s.run(2 * T, log_interval=dt).npview() + t, I = d.time(), d['amp.I_obs'] + + #I += np.random.normal(0, 5, size=t.shape) + + Rs, Rm, Cm, points = estimate_cell_parameters(t, I, T, dV, dt) + print(f'Estimated Rs {1e3 * Rs:>5.1f} MOhm') + print(f'Estimated Rm {1e3 * Rm:>5.1f} MOhm') + print(f'Estimated Cm {Cm:>5.2f} pF') + + fig = plt.figure(figsize=(12, 5)) + ax = fig.add_subplot() + ax.plot(t, I, label='$Iobs$') + kw = dict(color='tab:orange', lw=2) + tau, I01, a1, b1, I1, c1, d1, I02, a2, b2, I2, c2, d2 = points + ax.plot((t[c1], t[d1 - 1]), (I1, I1), **kw) + ax.plot((t[c2], t[d2 - 1]), (I2, I2), **kw) + te = t[a1:(b1 + a1) // 3] + ax.plot(te, I1 - (I1 - I01) * np.exp(-te / tau), **kw) + ax.plot(T + te, I2 - (I2 - I02) * np.exp(-te / tau), **kw) + ax.legend(loc='lower right') + plt.show() + + +def bode(magnitude, argument, axes=None, lo=1e-2, hi=1e5, **kwargs): + """ + Creates a bode plot for the given ``magnitude`` and ``argument`` functions. + + Returns a tuple ``(ax0, ax1)``. + """ + + lo, hi = np.log10(lo), np.log10(hi) + w = np.logspace(lo, hi, 1001, base=np.e) + + if axes is None: + import matplotlib.pyplot as plt + fig = plt.figure(figsize=(9, 6)) + fig.subplots_adjust(hspace=0.2) + ax0 = fig.add_subplot(2, 1, 1) + ax0.set_xscale('log') + ax0.set_yscale('log') + ax0.set_ylabel('Gain') + ax0.grid() + + ax1 = fig.add_subplot(2, 1, 2) + ax1.set_xscale('log') + ax1.set_xlabel('Angular frequency') + ax1.set_ylabel('Phase shift (degrees)') + ax1.set_ylim(-195, 195) + ax1.set_yticks([-180, -90, 0, 90, 180]) + + ax1.grid() + else: + ax0, ax1 = axes + + label=None + if kwargs: + label=','.join(f'{k}={v}' for k, v in kwargs.items()) + + ax0.plot(w, magnitude(w, **kwargs), label=None) + ax1.plot(w, argument(w, **kwargs) * 180 / np.pi, label=label) + if label is not None: + ax1.legend() + + return ax0, ax1 + +if __name__ == '__main__': + _test_one_shot() diff --git a/artefacts/references.ipynb b/artefacts/references.ipynb new file mode 100644 index 0000000..e22e9f2 --- /dev/null +++ b/artefacts/references.ipynb @@ -0,0 +1,223 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "fc24dbb4", + "metadata": {}, + "source": [ + "# References" + ] + }, + { + "cell_type": "markdown", + "id": "fcdf2bc5", + "metadata": {}, + "source": [ + "## Amplifier design\n", + "\n", + "- [Finkel, Redman (1984) Theory and operation of a single microelectrode voltage clamp](https://doi.org/10.1016/0165-0270(84)90029-3)\n", + "- [Finkel (1985) Useful Circuits for Voltage Clamping With Microelectrodes](https://doi.org/10.1007/978-1-4614-7601-6_2) in Voltage and Patch Clamping with Microelectrodes\n", + "- [Finkel (1991) Progress in instrumentation technology for recording from single channels and small cells](https://www.amazon.co.uk/Molecular-Neurobiology-Practical-Approach/dp/0199631093) in Molecular Neurobiology: A Practical Approach\n", + "- [Lecar & Smith 1985 voltage clamping small cells](https://doi.org/10.1007/978-1-4614-7601-6_11) in Voltage and Patch Clamping with Microelectrodes\n", + "- [Magistretti, Mantegazza, Guatteo, Wanke (1996) Action potentials recorded with patch-clamp amplifiers; are they genuine](https://doi.org/10.1016/s0166-2236(96)40004-2)\n", + "- [Sigworth (1983) Electronic Design of the Patch Clamp](https://doi.org/10.1007/978-1-4615-7858-1_1) in Single-channel Recording\n", + "- [Sigworth (1995a) Electronic Design of the Patch Clamp](https://doi.org/10.1007/978-1-4419-1229-9_4) in Single-channel Recording\n", + "- [Sigworth (1995b) Design of the EPC-9, a computer-controlled patch-clamp amplifier, 1 Hardware](https://doi.org/10.1016/0165-0270(94)00128-4)\n", + "- [Sigworth, Affolter, Neher (1995c) Design of the EPC-9, a computer-controlled patch-clamp amplifier, 2 Software](https://doi.org/10.1016/0165-0270(94)00129-5)\n", + "- [Strickholm (1995b) A single electrode voltage, current- and patch-clamp amplifier with complete stable series resistance compensation](https://doi.org/10.1016/0165-0270(95)00021-L)\n", + "- [Weerakoon, Culurciello, Klemic, Sigworth (2009) An Integrated Patch-Clamp Potentiostat With Electrode Compensation](https://doi.org/10.1109/TBCAS.2008.2005419)\n", + "- [Wilson, Goldner (1975) Voltage clamping with a single microelectrode](https://doi.org/10.1002/neu.480060406)\n" + ] + }, + { + "cell_type": "markdown", + "id": "b391edd0", + "metadata": {}, + "source": [ + "## Amplifier manuals\n", + "\n", + "- Alembic manual is available from [alembicinstruments.com](http://www.alembicinstruments.com)\n", + "- A-M systems manuals are available from [a-msystems.com](https://www.a-msystems.com)\n", + "- Axon manuals are available from [moleculardevices.com](https://support.moleculardevices.com)\n", + "- HEKA manuals and tutorials are available from [heka.com](https://www.heka.com)" + ] + }, + { + "cell_type": "markdown", + "id": "84a95a78", + "metadata": {}, + "source": [ + "## Leak\n", + "\n", + "- [Lei, Fabbri et al. De Boer (2021) A nonlinear and time-dependent leak current in the presence of calcium fluoride patch-clamp seal enhancer](https://doi.org/10.12688/wellcomeopenres.15968.2)\n", + "- [Milton, Caldwell (1990) How do patch clamp seals form? A lipid bleb model](https://doi.org/10.1007/BF00370626)" + ] + }, + { + "cell_type": "markdown", + "id": "25d73b94", + "metadata": {}, + "source": [ + "## Liquid junction potential\n", + "\n", + "- [Barry, Diamond (1970) Junction potentials, electrode standard potentials, and other problems in interpreting electrical properties in membranes](https://doi.org/10.1007/BF01868010)\n", + "- [Barry, Lynch (1991) Liquid junction potentials and small cell effects in patch-clamp analysis](https://doi.org/10.1007/bf01870526)\n", + "- [Barry (1994) JPCalc, a software package for calculating liquid junction potential corrections in patch-clamp, intracellular, epithelial and bilayer measurements and for correcting junction potential measurements](https://doi.org/10.1016/0165-0270(94)90031-0)\n", + "- [Dickinson, Freitag, Compton (2010) Dynamic Theory of Liquid Junction Potentials](https://doi.org/10.1021/jp908024s)\n", + "- [Figl, Lewis, Barry (2004) Axon Instruments; Liquid Junction Potential Corrections](https://medicalsciences.med.unsw.edu.au/sites/default/files/soms/page/ElectroPhysSW/Figl%20App%20Note2004.pdf)\n", + "- [Harden, Brogioli (2020) LJPcalc Liquid Junction Potential Calculator](https://swharden.com/LJPcalc/)\n", + "- [Marino, Misuri, Brogioli (2014) A new open source software for the calculation of the liquid junction potential between two solutions according to the stationary Nernst-Planck equation](https://arxiv.org/abs/1403.3640).\n", + "- [Neher (1992) Correction for liquid junction potentials in patch clamp experiments](https://doi.org/10.1016/0076-6879(92)07008-C)\n", + "- [Neher (1995) Voltage Offsets in Patch-Clamp Experiments](https://doi.org/10.1007/978-1-4419-1229-9_6) in Single-Channel Recording\n", + "- [Ng, Barry (1995) The measurement of ionic conductivities and mobilities of certain less common organic ions needed for junction potential corrections in electrophysiology](https://doi.org/10.1016/0165-0270(94)00087-W)" + ] + }, + { + "cell_type": "markdown", + "id": "9b444e87", + "metadata": {}, + "source": [ + "## Membrane capacitance\n", + "\n", + "- Too much too list on this topic: do a search!\n", + "- [Taylor (2012) What we talk about when we talk about capacitance measured with the voltage-clamp step method](https://doi.org/10.1007/s10827-011-0346-8)" + ] + }, + { + "cell_type": "markdown", + "id": "4a52dfab", + "metadata": {}, + "source": [ + "## Modelling patch-clamp\n", + "\n", + "- [Abrasheva, Kovalenko et al., Syunyaev (2023) Human sodium current voltage-dependence at physiological temperature measured by coupling patch-clamp experiment to a mathematical model](https://doi.org/10.1101/2023.06.06.543894)\n", + "- [Clerx, Collins, Volders (2015) Applying novel identification protocols to Markov models of INa](http://michaelclerx.com/publications/files/clerx-collins-volders-2015-applied-estimation-pre-print.pdf)\n", + "- [Lei, Clerx et al. Mirams (2020) Accounting for variability in ion current recordings using a mathematical model of artefacts in voltage-clamp experiments](https://doi.org/10.1098/rsta.2019.0348)\n", + "- [Lei (2020) DPhil Thesis; Model-Driven Design and Uncertainty Quantification for Cardiac Electrophysiology Experiments](https://ora.ox.ac.uk/objects/uuid:528c2771-ae4f-4f3c-b649-44904acdf259)\n", + "- [Montnach, Lorenzini et al., Loussouarn (2021) Computer modeling of whole-cell voltage-clamp analyses to delineate guidelines for good practice of manual and automated patch-clamp](https://doi.org/10.1038/s41598-021-82077-8)\n", + "- Ypey, DeFelice (2000) The patch-clamp technique explained and exercised with the use of simple electrical equivalent circuits" + ] + }, + { + "cell_type": "markdown", + "id": "9400cb91", + "metadata": {}, + "source": [ + "## Noise (see also: pipettes)\n", + "\n", + "- [Benndorf (1995) Low-Noise Recording](https://doi.org/10.1007/978-1-4419-1229-9_5) in Single-channel Recording\n", + "- [Sigworth (1995a) Electronic Design of the Patch Clamp](https://doi.org/10.1007/978-1-4419-1229-9_4)\n", + "- [The Axon Guide](https://www.moleculardevices.com/en/assets/ebook/dd/cns/axon-guide-to-electrophysiology-and-biophysics-laboratory-techniques)" + ] + }, + { + "cell_type": "markdown", + "id": "068467b5", + "metadata": {}, + "source": [ + "## Op-amps\n", + "\n", + "- Wikipedia: [Difference amplifier](https://en.wikipedia.org/wiki/Differential_amplifier)\n", + "- Wikipedia: [Negative-feedback amplifier](https://en.wikipedia.org/wiki/Negative-feedback_amplifier)\n", + "- Wikipedia: [Operational amplifier](https://en.wikipedia.org/wiki/Operational_amplifier)" + ] + }, + { + "cell_type": "markdown", + "id": "4a892ebb", + "metadata": {}, + "source": [ + "## Patch-clamp in practice\n", + "\n", + "- [Bebarova (2012) Advances in patch-clamp technique; towards higher quality and quantity](https://doi.org/10.4149/gpb_2012_016)\n", + "- [Cahalan, Neher (1992) Patch Clamp Techniques; An overview](https://doi.org/10.1016/0076-6879(92)07003-7)\n", + "- [Hamill, Marty et al., Sigworth (1981) Improved patch-clamp techniques for high-resolution current recording from cells and cell-free membrane patches](https://doi.org/10.1007/BF00656997)\n", + "- [Levis & Rae (1992) Constructing a patch clamp setup](https://doi.org/10.1016/0076-6879(92)07004-8)\n", + "- [Marty & Neher (1995) Tight-seal whole-cell recording](https://doi.org/10.1007/978-1-4615-7858-1_7) in Single-Channel Recording\n", + "- [Molleman (2002) Patch Clamping](https://doi.org/10.1002/0470856521) (book)\n", + "- [Ogden, Stanfield (1994) Patch clamp techniques for single channel and whole-cell recording](https://doi.org/10.1093/oso/9780199632442.003.0003) in Monitoring Neuronal Activity - A practical approach\n", + "- [Okada (2012) Patch Clamp Techniques](https://doi.org/10.1007/978-4-431-53993-3) (book)\n", + "- [Penner (1995) A Practical Guide to Patch Clamping](https://doi.org/10.1007/978-1-4419-1229-9_1) in Single-Channel Recording\n", + "- [Poler, Weskamp, Linz, Meyer (2005) Voltage-clamp and patch-clamp techniques](https://doi.org/10.1007/3-540-26574-0_16)\n", + "- [Sakmann, Neher (1984) Patch Clamp Techniques for Studying Ionic Channels in Excitable Membranes](https://doi.org/10.1146/annurev.ph.46.030184.002323)\n", + "- [Sheets, Ten Eick (1994) Whole-Cell Voltage Clamp of Cardiac Sodium Current](https://doi.org/10.1016/B978-0-12-185287-0.50015-6)\n", + "- [Smith, Lecar, Redman, Gage (1985) Voltage and patch clamping with microelectrodes](https://doi.org/10.1007/978-1-4614-7601-6) (book)" + ] + }, + { + "cell_type": "markdown", + "id": "d9c7766e", + "metadata": {}, + "source": [ + "## Perforated patch\n", + "\n", + "- [Rae, Cooper, Gates, Watsky (1991) Low access resistance perforated patch recordings using amphotericin B](https://doi.org/10.1016/0165-0270(91)90017-T)" + ] + }, + { + "cell_type": "markdown", + "id": "7ba07850", + "metadata": {}, + "source": [ + "## Pipettes, capacitance, and noise\n", + "\n", + "- [Levis & Rae (1993) The Use of Quartz Patch Pipettes for Low Noise Single Channel Recording](https://doi.org/10.1016/s0006-3495(93)81224-4)\n", + "- [Levis & Rae (1998) Low-noise patch-clamp techniques](https://doi.org/10.1016/S0076-6879(98)93017-8)\n", + "- [Rae & Levis (1992) Glass technology for patch clamp electrodes](https://doi.org/10.1016/0076-6879(92)07005-9)\n", + "- [Rae, Levis (1992) A method for exceptionally low noise single channel recordings](https://doi.org/10.1007/BF00374642)\n", + "- [Sakmann & Neher (1983) Geometric parameters of pipettes and membrane patches](https://doi.org/10.1007/978-1-4419-1229-9_21) in Single-Channel Recording\n", + "- [Suzuki, Rohlicek, Froemter (1978) A quasi-totally shielded, low-capacitance glass-microelectrode with suitable amplifiers for high-frequency intracellular potential and impedance measurements](https://doi.org/10.1007/BF00584447)\n", + "- [Tang, Wang, Quandt, Eisenberg (1990) Perfusing pipettes](https://doi.org/10.1007/BF00392072)" + ] + }, + { + "cell_type": "markdown", + "id": "f4271f52", + "metadata": {}, + "source": [ + "## Series-resistance compensation\n", + "\n", + "- [Armstrong, Chow (1987) Supercharging; a method for improving patch-clamp performance](https://doi.org/10.1016/S0006-3495(87)83198-3) Supercharging\n", + "- [Armstrong, Gilly (1992) Access resistance and space clamp problems associated with whole-cell patch clamping](https://doi.org/10.1016/0076-6879(92)07007-b)\n", + "- [Brennecke, Lindemann (1974) Theory of a membraneā€voltage clamp with discontinuous feedback through a pulsed current clamp](https://doi.org/10.1063/1.1686583) Chopping\n", + "- [Gray, Santin (2023) Series resistance errors in whole cell voltage clamp measured directly with dual patch-clamp recordings; not as bad as you think](https://doi.org/10.1152/jn.00476.2022)\n", + "- [Hodgkin, Huxley, Katz (1952) Measurement of current-voltage relations in the membrane of the giant axon of Loligo](https://physoc.onlinelibrary.wiley.com/doi/10.1113/jphysiol.1952.sp004716) Feed-forward \n", + "- [Moore, Hines, Harris (1984) Compensation for resistance in series with excitable membranes](https://doi.org/10.1016/S0006-3495(84)84048-5)\n", + "- [Sherman, Shrier, Cooper (1999) Series Resistance Compensation for Whole-Cell Patch-Clamp Studies Using a Membrane State Estimator](https://doi.org/10.1016/S0006-3495(99)77093-1),\n", + "- [Strickholm (1995a) A single electrode voltage, current- and patch-clamp amplifier with complete stable series resistance compensation](https://doi.org/10.1016/0165-0270(95)00021-L)\n", + "- [Strickholm (1995b) A supercharger for single electrode voltage and current clamping](https://doi.org/10.1016/0165-0270(95)00022-M)\n", + "- [Traynelis (1998) Software-based correction of single compartment series resistance errors](https://doi.org/10.1016/s0165-0270(98)00140-x)" + ] + }, + { + "cell_type": "markdown", + "id": "92f0e461", + "metadata": {}, + "source": [ + "## Other\n", + "- [Fischmeister, Ayer, DeHaan (1986) Some limitations of patch clamp techniques](https://doi.org/10.1007/BF00582957)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.6" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/artefacts/resources/block-diagram-1-series.png b/artefacts/resources/block-diagram-1-series.png new file mode 100644 index 0000000..1574313 Binary files /dev/null and b/artefacts/resources/block-diagram-1-series.png differ diff --git a/artefacts/resources/block-diagram-2-parallel.png 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