{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# CellML Models for Cardiac Cellular Electrophysiological Modelling\n", "\n", "We here present the CellML models referenced in the book chapter: Cardiac Cellular Electrophysiological Modelling as a brief demonstration of using [OpenCOR+Python](https://opencor.ws/user/pythonSupport.html#pythonsupport) in a Jupyter notebook.\n", "\n", "**Note:** Here I assume someone following this is using Windows. Other platforms should also work fine, but likely need different set up instructions.\n", "\n", "## Getting set up\n", "\n", "To use the OpenCOR+Python to run Jupyter notebooks (on Windows), you will need to have *Write* permission to the OpenCOR installation folder. This is generally not the case when using the installer, so grab the \"ZIP file\" version of OpenCOR 0.7.1 from the [downloads page](https://opencor.ws/downloads/index.html). And then unzip that to somewhere that you have write permission, here we will use `C:\\Users\\username\\Documents\\projects\\opencor-jupyter` as the root folder where we are working.\n", "\n", "Unzipping the ZIP file version of the OpenCOR installer will take a while. Once unzipped you should now have OpenCOR 0.7.1 available in `C:\\Users\\username\\Documents\\projects\\opencor-jupyter\\OpenCOR-0-7-1-Windows`.\n", " \n", "## Launching a JupyterLab instance\n", "\n", "Now that you are all set up, you can launch a JupyterLab instance with a command like this, run in a Windows command prompt:\n", "\n", " C:\\Users\\username\\Documents\\projects\\opencor-jupyter> OpenCOR-0-7-1-Windows\\jupyterlab.bat\n", " \n", "Once this is running, your default browser should pop-up and display the root JupyterLab page. Use the navigation panel to go into the `n98-opencor-jupyter` folder and launch the `run-model.ipynb` file. That should get you to the interactive version of this notebook." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "import opencor as opencor\n", "from matplotlib import pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Figure 4\n", "\n", "First we load the SED-ML files which define the single stimulus simulation experiments that we want to run with the original FHN model and each of the Rogers & McCulloch and Aliev & Panfilov modified versions of the FHN model." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "fhn = opencor.open_simulation('models/1961_fitzhugh/experiments/single-stimulus.sedml')\n", "rogers = opencor.open_simulation('models/1994_rogers/experiments/single-stimulus.sedml')\n", "aliev = opencor.open_simulation('models/1996_aliev/experiments/single-stimulus.sedml')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now run each of the simulations and grabthe results that we wish to plot." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "# reset and clear any existing results\n", "fhn.reset(True)\n", "fhn.clear_results()\n", "rogers.reset(True)\n", "rogers.clear_results()\n", "aliev.reset(True)\n", "aliev.clear_results()\n", "\n", "# decalare our results dictionaries\n", "fhn_data = {}\n", "rogers_data = {}\n", "aliev_data = {}\n", "\n", "fhn.run()\n", "ds = fhn.results().data_store()\n", "# membrane potential\n", "fhn_data['Vm'] = ds.voi_and_variables()['output_variables/Vm'].values()\n", "# activation variable\n", "fhn_data['v'] = ds.voi_and_variables()['output_variables/v'].values()\n", "# Total current\n", "fhn_data['Iion'] = ds.voi_and_variables()['output_variables/Iion'].values()\n", "\n", "rogers.run()\n", "ds = rogers.results().data_store()\n", "# membrane potential\n", "rogers_data['Vm'] = ds.voi_and_variables()['output_variables/Vm'].values()\n", "# activation variable\n", "rogers_data['v'] = ds.voi_and_variables()['output_variables/v'].values()\n", "# Total current\n", "rogers_data['Iion'] = ds.voi_and_variables()['output_variables/Iion'].values()\n", "\n", "aliev.run()\n", "ds = aliev.results().data_store()\n", "# membrane potential\n", "aliev_data['Vm'] = ds.voi_and_variables()['output_variables/Vm'].values()\n", "# activation variable\n", "aliev_data['v'] = ds.voi_and_variables()['output_variables/v'].values()\n", "# Total current\n", "aliev_data['Iion'] = ds.voi_and_variables()['output_variables/Iion'].values()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we have the data, we can generate the desired plots" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "time = range(0,801)\n", "plt.figure(figsize=(8,4))\n", "plt.plot(time, fhn_data['Vm'], label='FHN', color='red', linewidth=2)\n", "plt.plot(time, rogers_data['Vm'], label='Rogers', color='blue', linewidth=2)\n", "plt.plot(time, aliev_data['Vm'], label='Aliev', color='green', linewidth=2)\n", "plt.legend()\n", "plt.ylabel('Potential (mV)')\n", "plt.xlabel('Time (ms)')\n", "plt.figure(figsize=(8,4))\n", "plt.plot(time, fhn_data['v'], label='FHN', color='red', linewidth=2)\n", "plt.plot(time, rogers_data['v'], label='Rogers', color='blue', linewidth=2)\n", "plt.plot(time, aliev_data['v'], label='Aliev', color='green', linewidth=2)\n", "plt.legend()\n", "plt.ylabel('Activation variable ()')\n", "plt.xlabel('Time (ms)')\n", "plt.figure(figsize=(8,4))\n", "plt.plot(time, fhn_data['Iion'], label='FHN', color='red', linewidth=2)\n", "plt.plot(time, rogers_data['Iion'], label='Rogers', color='blue', linewidth=2)\n", "plt.plot(time, aliev_data['Iion'], label='Aliev', color='green', linewidth=2)\n", "plt.legend()\n", "plt.ylabel('Membrane current (uA/mm2)')\n", "plt.xlabel('Time (ms)')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and now we can close those simulations as we are finished with them." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "opencor.close_simulation(fhn)\n", "opencor.close_simulation(rogers)\n", "opencor.close_simulation(aliev)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Figure 5\n", "\n", "First lets define a function to run basic simulation experiments and return the values of a single variable, just for convenience." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "def run_simulation(sedml, variable):\n", " s = opencor.open_simulation(sedml)\n", " # reset and clear any existing results\n", " s.reset(True)\n", " s.clear_results()\n", " # run the simulation\n", " s.run()\n", " ds = s.results().data_store()\n", " variable_values = ds.voi_and_variables()[variable].values()\n", " opencor.close_simulation(s)\n", " return variable_values\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And now we can use the `run_simulation` function to exectute the simulation experiments for each of the variants of the Fenton & Karma model." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "br = run_simulation('models/1998_fenton/experiments/BR.sedml', 'output_variables/Vm')\n", "mbr = run_simulation('models/1998_fenton/experiments/MBR.sedml', 'output_variables/Vm')\n", "mLRi = run_simulation('models/1998_fenton/experiments/MLR-I.sedml', 'output_variables/Vm')\n", "gp = run_simulation('models/1998_fenton/experiments/GP.sedml', 'output_variables/Vm')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With the membrane potential values now computed for each variant, we can plot them." ] }, { "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": [ "time = range(0,1501)\n", "plt.figure(figsize=(8,4))\n", "plt.plot(time, br, label='BR', color='red', linewidth=2)\n", "plt.plot(time, mbr, label='MBR', color='blue', linewidth=2)\n", "plt.plot(time, mLRi, label='MLR-I', color='green', linewidth=2)\n", "plt.plot(time, gp, label='GP', color='black', linewidth=2)\n", "plt.legend()\n", "plt.ylabel('Potential (mV)')\n", "plt.xlabel('Time (ms)')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Figure 6\n", "\n", "In this figure we compare the Fenton & Karma approximation of the Beeler & Reuter model to the original Beeler & Reuter model. Again we use the `run_simulation` function we defined above." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# The FK approximation of the BR model\n", "FK_BR = run_simulation('models/1998_fenton/experiments/BR.sedml', 'output_variables/Vm')\n", "# and the actual BR model\n", "BR = run_simulation('models/1977_beeler/experiments/periodic-stimulus.sedml', 'exposed_variables/Vm')\n", "\n", "time = range(0,1501)\n", "plt.figure(figsize=(8,4))\n", "plt.plot(time, FK_BR, label='FK', color='red', linewidth=2)\n", "plt.plot(time, BR, label='BR', color='blue', linewidth=2)\n", "plt.legend()\n", "plt.ylabel('Potential (mV)')\n", "plt.xlabel('Time (ms)')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Figure 7\n", "\n", "Comparing the free-running (pacemaker) version of the Noble 1962 model with the paced version." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# The paced version of the Noble 1962 model\n", "paced = run_simulation('models/1962_noble/experiments/periodic-stimulus.sedml', 'output_variables/V')\n", "# and the free-running version\n", "pacemaker = run_simulation('models/1962_noble/experiments/free-running.sedml', 'output_variables/V')\n", "\n", "time = range(0,3001)\n", "plt.figure(figsize=(8,4))\n", "plt.plot(time, paced, label='paced', color='red', linewidth=2)\n", "plt.plot(time, pacemaker, label='free running', color='blue', linewidth=2)\n", "plt.legend()\n", "plt.ylabel('Potential (mV)')\n", "plt.xlabel('Time (ms)')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Figure 8\n", "\n", "Comparing the original Beeler & Reuter model with updated sodium current models." ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# The original BR model\n", "BR = run_simulation('models/1977_beeler/experiments/periodic-stimulus.sedml', 'exposed_variables/Vm')\n", "# The BR model with Ebihara and Johnson INa formulation\n", "BREJ = run_simulation('models/1977_beeler/experiments/1980_ebihara_johnson.sedml', 'fast_sodium_current_h_gate/V')\n", "# The BR model with Drouhard and Roberge INa formulation\n", "BRDR = run_simulation('models/1977_beeler/experiments/1987_drouhard_roberge.sedml', 'fast_sodium_current_h_gate/V')\n", "\n", "time = range(0,1501)\n", "plt.figure(figsize=(8,4))\n", "plt.plot(time, BR, label='BR', color='red', linewidth=2)\n", "plt.plot(BREJ, label='BREJ', color='blue', linewidth=2)\n", "plt.plot(BRDR, label='BRDR', color='green', linewidth=2)\n", "plt.legend()\n", "plt.ylabel('Potential (mV)')\n", "plt.xlabel('Time (ms)')\n", "plt.figure(figsize=(8,4))\n", "plt.plot(time[495:521], BR[495:521], label='BR', color='red', linewidth=1)\n", "plt.plot(time[495:521], BREJ[495:521], label='BREJ', color='blue', linewidth=1)\n", "plt.plot(time[495:521], BRDR[495:521], label='BRDR', color='green', linewidth=1)\n", "plt.legend()\n", "plt.ylabel('Potential (mV)')\n", "plt.xlabel('Time (ms)')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Figure 9\n", "\n", "Comparing the MNT and DFN models." ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# The MNT model\n", "MNT = run_simulation('models/1975_mcallister/experiments/free-running.sedml', 'output_variables/V')\n", "# The DFN model\n", "DFN = run_simulation('models/1985_difrancesco/1985_difrancesco_noble.sedml', 'membrane/V')\n", "\n", "time = range(0,5001)\n", "plt.figure(figsize=(8,4))\n", "plt.plot(time, MNT, label='MNT', color='red', linewidth=2)\n", "plt.plot(time, DFN, label='DFN', color='blue', linewidth=2)\n", "plt.legend()\n", "plt.ylabel('Potential (mV)')\n", "plt.xlabel('Time (ms)')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Figure 10\n", "\n", "Demonstrating the effect of extracellular potassium concentration on the action potential from the the Luo & Rudy 1991 model." ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "k_54 = run_simulation('models/1991_luo/experiments/standard.sedml', 'output_variables/V')\n", "k_30 = run_simulation('models/1991_luo/experiments/Ko-3.0.sedml', 'output_variables/V')\n", "k_40 = run_simulation('models/1991_luo/experiments/Ko-4.0.sedml', 'output_variables/V')\n", "k_70 = run_simulation('models/1991_luo/experiments/Ko-7.0.sedml', 'output_variables/V')\n", "\n", "time = range(0,701)\n", "plt.figure(figsize=(8,4))\n", "plt.plot(time, k_54, label='5.4', color='red', linewidth=2)\n", "plt.plot(time, k_30, label='3.0', color='blue', linewidth=2)\n", "plt.plot(time, k_40, label='4.0', color='green', linewidth=2)\n", "plt.plot(time, k_70, label='7.0', color='black', linewidth=2)\n", "plt.legend()\n", "plt.ylabel('Potential (mV)')\n", "plt.xlabel('Time (ms)')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Figure 11\n", "\n", "Comparing action potentials from Luo & Rudy 1994, Jafri et al 1998, and Noble et al 1998 electrophysiological models." ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "LRd = run_simulation('models/1994_luo/model.sedml', 'membrane/V')\n", "jafri = run_simulation('models/1998_jafri/model.sedml', 'membrane/V')\n", "n98 = run_simulation('models/1998_noble/1998_noble.sedml', 'membrane/V')\n", "\n", "time = range(0,701)\n", "plt.figure(figsize=(8,4))\n", "plt.plot(time, LRd, label='LRd', color='red', linewidth=2)\n", "plt.plot(time, jafri, label='JRW', color='blue', linewidth=2)\n", "plt.plot(time, n98, label='N98', color='green', linewidth=2)\n", "plt.legend()\n", "plt.ylabel('Potential (mV)')\n", "plt.xlabel('Time (ms)')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Figure 12\n", "\n", "Comparing the different cell-type variants of ten Tusscher et al 2004 human ventricular model." ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "endo = run_simulation('models/2004_tenTusscher/experiments/periodic-stimulus-endocardial.sedml', 'output_variables/V')\n", "epi = run_simulation('models/2004_tenTusscher/experiments/periodic-stimulus-epicardial.sedml', 'output_variables/V')\n", "mid = run_simulation('models/2004_tenTusscher/experiments/periodic-stimulus-M.sedml', 'output_variables/V')\n", "\n", "time = range(0,1501)\n", "plt.figure(figsize=(8,4))\n", "plt.plot(time, endo, label='endo', color='red', linewidth=2)\n", "plt.plot(time, epi, label='epi', color='blue', linewidth=2)\n", "plt.plot(time, mid, label='M', color='green', linewidth=2)\n", "plt.legend()\n", "plt.ylabel('Potential (mV)')\n", "plt.xlabel('Time (ms)')\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "OpenCOR", "language": "python", "name": "opencor" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.5" } }, "nbformat": 4, "nbformat_minor": 4 }