{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# The Wilson-Cowan model\n", "\n", "In this notebook, the basic use of the implementation of the Wilson-Cowan (`wc`) model is presented. \n", "\n", "In the `wc` model, the activity of a particular brain region is defined by a coupled system of excitatory (E) and inhibitory (I) neuronal populations with the mean firing rates of the E and I pools being the dynamic variables, as first described by Wilson and Cowan in 1972 ( H.R. Wilson and J.D. Cowan. *Excitatory and inhibitory interactions in localized populations of model neurons*. Biophys. J., 12:1–24 (1972)) " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# change to the root directory of the project\n", "import os\n", "if os.getcwd().split(\"/\")[-1] == \"examples\":\n", " os.chdir('..')" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import glob\n", "\n", "from neurolib.models.wc import WCModel\n", "\n", "import neurolib.utils.loadData as ld\n", "import neurolib.utils.functions as func\n", "\n", "# a nice color map\n", "plt.rcParams['image.cmap'] = 'plasma'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Bifurcation diagram" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "wc = WCModel()\n", "wc.params['duration'] = 2.0*1000" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's draw a simple one-dimensional bifurcation diagram of this model to orient ourselves in the parameter space" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "max_exc = []\n", "min_exc = []\n", "# these are the different input values that we want to scan\n", "exc_inputs = np.linspace(0, 3.5, 50)\n", "for exc_ext in exc_inputs:\n", " # Note: this has to be a vector since it is input for all nodes\n", " # (but we have only one node in this example)\n", " wc.params['exc_ext'] = exc_ext\n", " wc.run()\n", " # we add the maximum and the minimum of the last second of the \n", " # simulation to a list\n", " max_exc.append(np.max(wc.exc[0, -int(1000/wc.params['dt']):]))\n", " min_exc.append(np.min(wc.exc[0, -int(1000/wc.params['dt']):]))" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'Min / max exc')" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(exc_inputs, max_exc, c='k', lw = 2)\n", "plt.plot(exc_inputs, min_exc, c='k', lw = 2)\n", "plt.title(\"Bifurcation diagram of the Wilson-Cowan model\")\n", "plt.xlabel(\"Input to exc\")\n", "plt.ylabel(\"Min / max exc\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Single node simulation" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "wc = WCModel()\n", "wc.params['duration'] = 1.0*1000\n", "wc.params['sigma_ou'] = 0.01\n", "\n", "wc.run()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'Activity')" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(wc.t, wc.exc.T, c='k', lw = 2)\n", "plt.xlabel(\"t [ms]\")\n", "plt.ylabel(\"Activity\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Brain network" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "from neurolib.utils.loadData import Dataset\n", "\n", "ds = Dataset(\"hcp\")" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "wc = WCModel(Cmat = ds.Cmat, Dmat = ds.Dmat)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "wc.params['exc_ext'] = 0.65\n", "\n", "wc.params['signalV'] = 0\n", "wc.params['duration'] = 20 * 1000 \n", "wc.params['sigma_ou'] = 0.14\n", "wc.params['K_gl'] = 3.15\n", "\n", "\n", "wc.run(chunkwise=True)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0, 200)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(1, 2, figsize=(10, 3))\n", "axs[0].imshow(func.fc(wc.exc[:, -10000:]))\n", "axs[1].plot(wc.t, wc.exc[::5, :].T, alpha=0.8);\n", "axs[1].set_xlim(0, 200)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Correlation per subject: ['0.13', '0.14', '0.13', '0.12', '0.11', '0.12', '0.12']\n", "Mean FC/FC correlation: 0.13\n" ] } ], "source": [ "scores = [func.matrix_correlation(func.fc(wc.exc[:, -int(5000/wc.params['dt']):]), fcemp) for fcemp in ds.FCs]\n", "print(\"Correlation per subject:\", [f\"{s:.2}\" for s in scores])\n", "print(\"Mean FC/FC correlation: {:.2f}\".format(np.mean(scores)))" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 4 }