{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "96c133bd",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-06-19T08:11:16.102211Z",
     "iopub.status.busy": "2026-06-19T08:11:16.101989Z",
     "iopub.status.idle": "2026-06-19T08:11:21.238450Z",
     "shell.execute_reply": "2026-06-19T08:11:21.237828Z"
    },
    "tags": [
     "remove-cell"
    ]
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "An NVIDIA GPU may be present on this machine, but a CUDA-enabled jaxlib is not installed. Falling back to cpu.\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import brainmass\n",
    "import brainstate\n",
    "import brainunit as u\n",
    "import jax.numpy as jnp\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "brainstate.random.seed(0)\n",
    "brainstate.environ.set(dt=0.1 * u.ms)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cde39c6c",
   "metadata": {},
   "source": [
    "# FitzHugh-Nagumo Model\n",
    "\n",
    "The **FitzHugh-Nagumo (FHN) model** is a two-variable reduction of the Hodgkin-Huxley equations that captures neuronal **excitability** with a fast voltage variable $V$ and a slow recovery variable $w$:\n",
    "\n",
    "$$\\dot V = -\\alpha V^3 + \\beta V^2 + \\gamma V - w + I,\\qquad \\dot w = \\tfrac{1}{\\tau}(V - \\delta - \\epsilon w).$$\n",
    "\n",
    "Below a threshold the system returns to rest; a sufficiently strong input triggers a large excursion (a spike) before recovering. It is a canonical Type-II excitable system and a building block for whole-brain models.\n",
    "\n",
    "**Reference:** FitzHugh (1961), *Impulses and physiological states in theoretical models of nerve membrane*, Biophysical Journal 1(6):445-466."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7056d6bc",
   "metadata": {},
   "source": [
    "## Build the model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "08a8577d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-06-19T08:11:21.240936Z",
     "iopub.status.busy": "2026-06-19T08:11:21.240573Z",
     "iopub.status.idle": "2026-06-19T08:11:21.261790Z",
     "shell.execute_reply": "2026-06-19T08:11:21.261138Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "FitzHughNagumoStep(\n",
       "  in_size=(1,),\n",
       "  out_size=(1,),\n",
       "  alpha=Const(\n",
       "    fit=False,\n",
       "    t=IdentityT(),\n",
       "    reg=None,\n",
       "    val=Array(3., dtype=float32)\n",
       "  ),\n",
       "  beta=Const(\n",
       "    fit=False,\n",
       "    t=IdentityT(),\n",
       "    reg=None,\n",
       "    val=Array(4., dtype=float32)\n",
       "  ),\n",
       "  gamma=Const(\n",
       "    fit=False,\n",
       "    t=IdentityT(),\n",
       "    reg=None,\n",
       "    val=Array(-1.5, dtype=float32)\n",
       "  ),\n",
       "  delta=Const(\n",
       "    fit=False,\n",
       "    t=IdentityT(),\n",
       "    reg=None,\n",
       "    val=Array(0., dtype=float32)\n",
       "  ),\n",
       "  epsilon=Const(\n",
       "    fit=False,\n",
       "    t=IdentityT(),\n",
       "    reg=None,\n",
       "    val=Array(0.5, dtype=float32)\n",
       "  ),\n",
       "  tau=Const(\n",
       "    fit=False,\n",
       "    t=IdentityT(),\n",
       "    reg=None,\n",
       "    val=Quantity(20., \"ms\")\n",
       "  ),\n",
       "  init_V=Uniform(low=0, high=0.05),\n",
       "  init_w=Uniform(low=0, high=0.05),\n",
       "  method=exp_euler\n",
       ")"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "node = brainmass.FitzHughNagumoStep(in_size=1, tau=20. * u.ms)\n",
    "node"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3cac3213",
   "metadata": {},
   "source": [
    "## Run a simulation\n",
    "\n",
    "With the default parameters and a steady drive the node settles onto a relaxation limit cycle (repetitive spiking)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "61b57492",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-06-19T08:11:21.264135Z",
     "iopub.status.busy": "2026-06-19T08:11:21.263817Z",
     "iopub.status.idle": "2026-06-19T08:11:21.653162Z",
     "shell.execute_reply": "2026-06-19T08:11:21.652254Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(3500, 1)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sim = brainmass.Simulator(node, dt=0.1 * u.ms)\n",
    "res = sim.run(400. * u.ms, inputs=lambda i, t: 1.0,\n",
    "              monitors=['V', 'w'], transient=50. * u.ms)\n",
    "res['V'].shape"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f773b0ee",
   "metadata": {},
   "source": [
    "## Visualize\n",
    "\n",
    "The phase portrait shows the fast-slow limit cycle around the cubic `V`-nullcline."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "9bf692dd",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-06-19T08:11:21.655621Z",
     "iopub.status.busy": "2026-06-19T08:11:21.655287Z",
     "iopub.status.idle": "2026-06-19T08:11:21.855457Z",
     "shell.execute_reply": "2026-06-19T08:11:21.854507Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, 2, figsize=(10, 4))\n",
    "brainmass.viz.plot_timeseries(res['V'], ts=res['ts'], ax=axes[0])\n",
    "axes[0].set_title('FHN voltage V')\n",
    "brainmass.viz.plot_phase_portrait(res['V'], res['w'], ax=axes[1])\n",
    "axes[1].set_xlabel('V'); axes[1].set_ylabel('w')\n",
    "axes[1].set_title('Fast-slow limit cycle')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2f5e8362",
   "metadata": {},
   "source": [
    "## Try it: vary the input drive `I`\n",
    "\n",
    "The constant drive sets the regime. Weak drive leaves the node excitable (silent at rest); strong drive sustains repetitive spiking."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "fa5f89b3",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-06-19T08:11:21.857530Z",
     "iopub.status.busy": "2026-06-19T08:11:21.857303Z",
     "iopub.status.idle": "2026-06-19T08:11:22.263004Z",
     "shell.execute_reply": "2026-06-19T08:11:22.262396Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(8, 4))\n",
    "for drive in [0.0, 0.5, 1.0]:\n",
    "    m = brainmass.FitzHughNagumoStep(in_size=1, tau=20. * u.ms)\n",
    "    r = brainmass.Simulator(m, dt=0.1 * u.ms).run(\n",
    "        400. * u.ms, inputs=lambda i, t, d=drive: d,\n",
    "        monitors=['V'], transient=50. * u.ms)\n",
    "    ax.plot(u.get_magnitude(r['ts']), u.get_magnitude(r['V'])[:, 0], label=f'I = {drive}')\n",
    "ax.set_xlabel('time (ms)'); ax.set_ylabel('V'); ax.legend()\n",
    "ax.set_title('Excitable -> repetitive spiking')\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": "3.13.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
