{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# The Fitz-Hugh Nagumo oscillator\n", "\n", "In this notebook, the basic use of the implementation of the Fitz-Hugh Nagumo (`fhn`) model is presented. Usually, the `fhn` model is used to represent a single neuron (for example in `Cakan et al. (2014)`, \"Heterogeneous delays in neural networks\"). This is due to the difference in timescales of the two equations that define the FHN model: The first equation is often referred to as the \"fast variable\" whereas the second one is the \"slow variable\". This makes it possible to create a model with a very fast spiking mechanism but with a slow refractory period. \n", "\n", "In our case, we are using a parameterization of the `fhn` model that is not quite as usual. Inspired by the paper by `Kostova et al. (2004)` \"FitzHugh–Nagumo revisited: Types of bifurcations, periodical forcing and stability regions by a Lyapunov functional.\", the implementation in `neurolib` produces a slowly oscillating dynamics and has the advantage to incorporate an external input term that causes a Hopf bifurcation. This means, that the model roughly approximates the behaviour of the `aln` model: For low input values, there is a low-activity fixed point, for intermediate inputs, there is an oscillatory region, and for high input values, the system is in a high-activity fixed point. Thus, it offers a simple way of exploring the dynamics of a neural mass model with these properties, such as the `aln` model.\n", "\n", "We want to start by producing a bifurcation diagram of a single node. With `neurolib`, this can be done with a couple of lines of code, as seen further below." ] }, { "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('..')\n", " \n", "# This will reload all imports as soon as the code changes\n", "%load_ext autoreload\n", "%autoreload 2 " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "try:\n", " import matplotlib.pyplot as plt\n", "except ImportError:\n", " import sys\n", " !{sys.executable} -m pip install matplotlib\n", " import matplotlib.pyplot as plt\n", " \n", "import numpy as np\n", "\n", "# Let's import the fhn model\n", "from neurolib.models.fhn import FHNModel\n", "\n", "# Some useful functions are provided here\n", "import neurolib.utils.functions as func\n", "\n", "# a nice color map\n", "plt.rcParams['image.cmap'] = 'plasma'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Single node simulation" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "fhn = FHNModel()\n", "fhn.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": 4, "metadata": {}, "outputs": [], "source": [ "max_x = []\n", "min_x = []\n", "# these are the different input values that we want to scan\n", "x_inputs = np.linspace(0, 2, 50)\n", "for x_ext in x_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", " fhn.params['x_ext'] = [x_ext]\n", " fhn.run()\n", " # we add the maximum and the minimum of the last second of the \n", " # simulation to a list\n", " max_x.append(np.max(fhn.x[0, -int(1000/fhn.params['dt']):]))\n", " min_x.append(np.min(fhn.x[0, -int(1000/fhn.params['dt']):]))" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Min / max x')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(x_inputs, max_x, c='k', lw = 2)\n", "plt.plot(x_inputs, min_x, c='k', lw = 2)\n", "plt.title(\"Bifurcation diagram of the FHN oscillator\")\n", "plt.xlabel(\"Input to x\")\n", "plt.ylabel(\"Min / max x\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this model, there is a Hopf bifurcation happening at two input values. We can see the oscillatory region at input values from roughly `0.75` to `1.3`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Brain network" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "from neurolib.utils.loadData import Dataset\n", "\n", "ds = Dataset(\"hcp\")" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "fhn = FHNModel(Cmat = ds.Cmat, Dmat = ds.Dmat)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "fhn.params['duration'] = 10 * 1000 \n", "# add some noise\n", "fhn.params['sigma_ou'] = .01\n", "# set the global coupling strenght of the brain network\n", "fhn.params['K_gl'] = 1.0\n", "# let's put all nodes close to the limit cycle such that\n", "# noise can kick them in and out of the oscillation\n", "# all nodes get the same constant input\n", "fhn.params['x_ext'] = [0.72] * fhn.params['N']\n", "\n", "fhn.run(chunkwise=True, append_outputs=True)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 't [ms]')" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(fhn.t, fhn.x[::5, :].T, alpha=0.8);\n", "plt.xlabel(\"t [ms]\")" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(1, 2, figsize=(8, 2))\n", "axs[0].imshow(func.fc(fhn.x[:, -10000:]))\n", "axs[1].plot(fhn.t, fhn.x[::5, :].T, alpha=0.8);" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Correlation per subject: ['0.41', '0.5', '0.5', '0.48', '0.49', '0.45', '0.54']\n", "Mean FC/FC correlation: 0.48\n" ] } ], "source": [ "scores = [func.matrix_correlation(func.fc(fhn.x[:, -int(5000/fhn.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 }