{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Loading Neuron model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\t1 \n",
      "\t1 \n",
      "Setting temperature to 34.000000 C\n",
      "Setting simulation time step to 0.100000 ms\n",
      "\t1 \n",
      "\t1 \n",
      "\t1 \n",
      "\t1 \n",
      "\t1 \n",
      "\t1 \n",
      "\t1 \n",
      "\t1 \n",
      "\t1 \n",
      "\t1 \n",
      "axon updated\n",
      "5 \n",
      "\t1 \n",
      "\t1 \n",
      "\t1 \n",
      "**********************\n",
      "cADpyr232_L5_TTPC1_0fb1ca4724[0].soma[0]\n",
      "1 \n",
      "1 \n",
      "1 \n",
      "\t1 \n",
      "axon updated\n",
      "5 \n",
      "axon updated\n",
      "5 \n",
      "\t1 \n",
      "\t1 \n",
      "axon updated\n",
      "4 \n",
      "\t1 \n"
     ]
    }
   ],
   "source": [
    "import SCN2A_nb_helper as helper\n",
    "helper.init_neuron()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Wild Type Kinetics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "#HERE WE WILL PRINT THE CURRENT WT NOT TOUCHED KINETCIS\n",
    "#Act,inact,recovery and Tau"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Wild Type Responses\n",
    "## FI Curve"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[2, 2, 2, 2, 2, 5, 8, 10, 11, 13]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "start_amp = 0\n",
    "end_amp = 0.5\n",
    "nruns = 8\n",
    "helper.get_fi_curve(0,0.5,10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Phase Plane"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "helper.get_volts_and_dvdt(0.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Fake Act and Inact"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "v05_act = -15\n",
    "slop_eact = 0.1\n",
    "v05_inact = -50\n",
    "slope_inact = -0.1\n",
    "helper.gen_act_inact(v05_act,slop_eact,v05_inact,slope_inact)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Make  a het"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "axon updated\n",
      "2 \n"
     ]
    }
   ],
   "source": [
    "helper.make_a_het()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## FI Curve"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[2, 2, 2, 2, 2, 5, 8, 10, 12, 13]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "start_amp = 0\n",
    "end_amp = 0.5\n",
    "nruns = 8\n",
    "helper.get_fi_curve(0,0.5,10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Phase Plane"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "helper.get_volts_and_dvdt(0.5)"
   ]
  }
 ],
 "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": 2
}