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Assignment_1.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "Assignment_1.ipynb",
"provenance": [],
"collapsed_sections": [],
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/dhruvilp/953151779925af9da45c8ccff8d0e5f4/assignment_1.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "tGWVUAJ0tEEe",
"colab_type": "text"
},
"source": [
"# Assignment 1\n",
"CS 425/525 Brain-Inspired Computing Sp-2020\n",
"\n",
"---\n",
"\n",
"**Name:** Dhruvil Patel\n",
"**NetId:** dhp68\n",
"**RUId:** 171004047\n",
"\n",
"**Name:** Rahul Patel\n",
"**NetId:** rcp125\n",
"**RUId:** 185005393 \n",
"\n",
"**Name:** Soham Palande\n",
"**NetId:** ssp215\n",
"**RUId:** 187006241 \n"
]
},
{
"cell_type": "code",
"metadata": {
"id": "BIFFW3cZtHJh",
"colab_type": "code",
"colab": {}
},
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "nf6CGgn0tJU9",
"colab_type": "text"
},
"source": [
"### LIF Simulator"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Nf5LRwn6gLMW",
"colab_type": "text"
},
"source": [
"![alt text](https://i.ibb.co/TMkmYnX/lif-model.png)\n",
"\n",
"Source Credit: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5557947/pdf/41598_2017_Article_7418.pdf"
]
},
{
"cell_type": "code",
"metadata": {
"id": "DHI6aNBBtMXy",
"colab_type": "code",
"colab": {}
},
"source": [
"def lif_simulator(i_current):\n",
" i_current = i_current\n",
" thresh_voltage = 1\n",
" spike_delta = 0.5\n",
" total_time = 100\n",
" delta_t = 0.01\n",
" R_m = 1\n",
" C_m = 10\n",
" time = np.arange(0, total_time, delta_t)\n",
" V_m = np.zeros(len(time))\n",
" tau = R_m * C_m \n",
" for i in range(1, len(time)):\n",
" V_m[i] = V_m[i-1] + delta_t * ((-V_m[i-1] + R_m * i_current) / tau)\n",
" if V_m[i] >= thresh_voltage:\n",
" V_m[i-1] = V_m[i-1] + spike_delta\n",
" V_m[i] = 0\n",
" plt.plot(time, V_m, color='blue')\n",
" plt.title(\"Membrane Potential Decay Over Time (Input Current =\" + str(i_current) + \")\")\n",
" plt.xlabel(\"Time (ms)\")\n",
" plt.ylabel(\"Membrane Potential (volts)\")\n",
" plt.grid(True)\n",
" plt.show()"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "ViapVRqntOPZ",
"colab_type": "text"
},
"source": [
"### Firing Rate Simulator"
]
},
{
"cell_type": "code",
"metadata": {
"id": "qd5VbWxAtRAF",
"colab_type": "code",
"colab": {}
},
"source": [
"def firing_rate_simulator(i_current):\n",
" i_current = i_current\n",
" i_current = np.arange(1, 5, 0.52)\n",
" spikes = []\n",
" totalTime = 100\n",
" deltaT = 0.01\n",
" R_m = 1 \n",
" C_m = 10\n",
" time = np.arange(0, totalTime, deltaT) \n",
" V_m = np.zeros(len(time)) \n",
" tau = R_m * C_m\n",
" thresh_voltage = 1\n",
" spike_delta = 0.5\n",
" for current in i_current:\n",
" numSpikes = 0\n",
" for i in range(1, len(time)):\n",
" V_m[i] = V_m[i-1] + deltaT * ((-V_m[i-1] + R_m * current) / tau)\n",
" if V_m[i] >= thresh_voltage:\n",
" V_m[i-1] = V_m[i-1] + spike_delta\n",
" V_m[i] = 0\n",
" numSpikes += 1\n",
" spikes.append(numSpikes)\n",
" plt.plot(i_current, spikes, color='blue')\n",
" plt.title(\"Frequency of Spikes Over Input Currents\")\n",
" plt.xlabel(\"Input Current\")\n",
" plt.ylabel(\"# of Spikes\")\n",
" plt.grid(True)\n",
" plt.show()"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "IRm2dwL3teln",
"colab_type": "text"
},
"source": [
"### Izhikevich Simulator"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "dMLSmeG_bbsn",
"colab_type": "text"
},
"source": [
"![Izhikevich Model](https://i.ibb.co/JCL18ZX/izh-model.png)\n",
"\n",
"Source Credit: https://www.izhikevich.org/publications/spikes.pdf"
]
},
{
"cell_type": "code",
"metadata": {
"id": "4tZ2A22xtg1w",
"colab_type": "code",
"colab": {}
},
"source": [
" \"\"\"Izhikevich Constants\n",
" V: membrane voltage\n",
" U: membrane recovery variable\n",
" a: time scale of recovery variable u\n",
" b: fluctuations of membrane potential v\n",
" c: to reset value of membrane potential v\n",
" d: to reset recovery variable u\n",
" \"\"\"\n",
"def izhikevich_simulator(i_current):\n",
" i_current = i_current\n",
" u = 0\n",
" a = 0.02\n",
" b = 0.2\n",
" c = -65\n",
" d = 2\n",
" total_time = 200\n",
" delta_t = 0.01\n",
" thres = 30\n",
" u = b * c\n",
" curr_c = c\n",
" time = np.arange(0, total_time, delta_t)\n",
" V_m = np.zeros(len(time))\n",
" V_m[0] = -55\n",
"\n",
" for i in range(1, len(time)):\n",
" V_m[i] = curr_c\n",
" dv_dt = (0.04 * (curr_c**2) + (5 * curr_c) + 140 - u + i_current)\n",
" du_dt = a * (b * curr_c - u) \n",
" curr_c = curr_c + dv_dt*delta_t\n",
" u = u + du_dt*delta_t\n",
" if curr_c > thres:\n",
" curr_c = c\n",
" u = u + d\n",
" plt.plot(time, V_m, color='blue')\n",
" plt.title(\"Membrane Potential Decay Over Time (Input Current =\" + str(i_current) + \")\")\n",
" plt.xlabel(\"Time (ms)\")\n",
" plt.ylabel(\"Membrane Potential (volts)\")\n",
" plt.grid(True)\n",
" plt.show()"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "MYSXsr13ti9q",
"colab_type": "text"
},
"source": [
"### Hodgkin-Huxley Simulator"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "nmk7AfhjSyFy",
"colab_type": "text"
},
"source": [
"![HH Model](https://i.ibb.co/pWTv4bV/h-h-model.png)\n",
"\n",
"Source Credit (Pg. 21): https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1392413/pdf/jphysiol01442-0106.pdf"
]
},
{
"cell_type": "code",
"metadata": {
"id": "aQfU6jcjtlkR",
"colab_type": "code",
"colab": {}
},
"source": [
"def hh_simulator(i_current):\n",
" i_current = i_current\n",
" totalTime = 200\n",
" deltaT = 0.01\n",
" time = np.arange(0, totalTime, deltaT)\n",
" V = np.zeros(len(time))\n",
" n = np.zeros(len(time))\n",
" n[0] = 0\n",
" m = np.zeros(len(time))\n",
" m[0] = 0\n",
" h = np.zeros(len(time))\n",
" h[0] = 1\n",
" V_Na = 115\n",
" V_K = -12\n",
" V_L = 10.6\n",
" g_Na = 120\n",
" g_K = 36\n",
" g_L = 0.3\n",
" C = 1\n",
" V[0] = -55\n",
"\n",
" def alpha_h(V):\n",
" return 0.07*np.exp(-(V+65)/20)\n",
" def beta_h(V):\n",
" return 1/(np.exp(3.0-0.1*(V+65)) + 1)\n",
" def alpha_m(V):\n",
" return (2.5 - 0.1*(V+65)) / (np.exp(2.5-0.1*(V+65)) - 1)\n",
" def beta_m(V):\n",
" return 4*np.exp(-(V+65)/18)\n",
" def alpha_n(V):\n",
" return (0.1-0.01*(V+65)) / (np.exp(1-0.1*(V+65)) - 1)\n",
" def beta_n(V):\n",
" return 0.125*np.exp(-(V+65)/80)\n",
"\n",
" def e_Na( m, h, V):\n",
" return g_Na * (m**3) * h * (V_Na - (V+65))\n",
" def e_K(n, V):\n",
" return g_K * (n**4) * (V_K - (V+65))\n",
" def e_Cl(V):\n",
" return g_L * (V_L - (V+65))\n",
"\n",
" for i in range(1, len(time)):\n",
" V[i] = V[i-1] + deltaT * (((i_current + e_Na(m[i-1], h[i-1], V[i-1])) + e_K(n[i-1], V[i-1])) + e_Cl(V[i-1]) / C)\n",
" n[i] = n[i-1] + deltaT * (alpha_n(V[i]) * (1-n[i-1]) - beta_n(V[i])*n[i-1])\n",
" m[i] = m[i-1] + deltaT * (alpha_m(V[i]) * (1-m[i-1]) - beta_m(V[i])*m[i-1])\n",
" h[i] = h[i-1] + deltaT * (alpha_h(V[i]) * (1-h[i-1]) - beta_h(V[i])*h[i-1])\n",
" plt.plot(time, V, color='blue')\n",
" plt.xlabel(\"Time\")\n",
" plt.ylabel(\"Membrane Potential (V)\")\n",
" plt.title(\"Membrane Potential Over Time (Input Current =\" +str(i_current)+\")\")\n",
" plt.grid(True)\n",
" plt.show()"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "C2jvPv5WtoAe",
"colab_type": "text"
},
"source": [
"### Run ALL"
]
},
{
"cell_type": "code",
"metadata": {
"id": "tyH4_M_Gtqzp",
"colab_type": "code",
"outputId": "dac04269-c9d9-481a-8740-6f206bddb928",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1000
}
},
"source": [
"print('LIF Simulator')\n",
"print('=======================================')\n",
"lif_simulator(0.75)\n",
"lif_simulator(1.5)\n",
"lif_simulator(3.0)\n",
"\n",
"print('Firing Rate Simulator')\n",
"print('=======================================')\n",
"firing_rate_simulator(1.5)\n",
"\n",
"print('Izhikevich Simulator')\n",
"print('=======================================')\n",
"izhikevich_simulator(6.5)\n",
"\n",
"print('Hodgkin-Huxley Simulator')\n",
"print('=======================================')\n",
"hh_simulator(6.5)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"LIF Simulator\n",
"=======================================\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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Sy5I+lPSRpI8lfVTq4Dqaxka45RY47DDo2TPtaJxzrrSSVqJfDhxtZj3MrLuZ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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "display_data",
"data": {
"image/png": 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YscyLL1oEuPxydxomTrTuikOHbgJaO9Px979bm4HL6Uj++U/Yswfucdhdo6TE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\nUa0AAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "display_data",
"data": {
"image/png": 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AL34Bh/quaVcAy5fDypVuOmJHsfVik/ZZuHChhkVFRYW1bFeXKqiedpr9+U3VtZf//OeN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\nmeXihGFmZrk4YZiZWS7/B7QBmMHR//EnAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "stream",
"text": [
"Firing Rate Simulator\n",
"=======================================\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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4+ugwdfKZZ6rKF0m1ZBL/3wnTKnwDLAQ6ANValUukPMXFcOedocqfPTssgfj8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\nSUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "stream",
"text": [
"Izhikevich Simulator\n",
"=======================================\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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PH0Q8TQafMXk85ccHEY/z+HZ2j6dy+CBSAXyVPJ14f6Qff+9kDx9EKoAv+aYL74/s4YNI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\nQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "stream",
"text": [
"Hodgkin-Huxley Simulator\n",
"=======================================\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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kNJ68W8nDw8PDILGYg6oOUdXeqtoXOBl4W1VPA0YAPwxuOwt42T4v5ugD0h4eHh4GLSFb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\nHD7/3LitjjwSrryyeVpxdDK/+pUJMP7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LF3fklluMjAwYYJcWGIVeyYS3fLSgKb2RI42M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\nCAcAOleC4NB6Ar6+TQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
}
]
}
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