{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Wild Type Kinetics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "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": [
    "%matplotlib inline \n",
    "import genSimData_Na12_mut_new as gsd\n",
    "wt_act_inact = gsd.plot_act_inact_wt()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# \"Mutated\" Kinetics\n",
    "### Base Values\n",
    "##### tha  =  -30  v 1/2 for act\t\n",
    "##### qa   = 7.2\t      act slope \n",
    "##### thinf  = -45 \t inact inf slope\n",
    "##### qinf  = 7 \t      inact inf slope \n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "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": [
    "vclamp_params = {'tha_na12mut':-50,'qa_na12mut':7.2,'thinf_na12mut':-45,'qinf_na12mut':7} #big change\n",
    "\n",
    "gsd.plot_act_inact_mut(vclamp_params,wt_act_inact)\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Fit NaV1.2 to Act/Inact Curve"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "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",
      "\t1 \n",
      "\t1 \n",
      "\t1 \n",
      "**********************\n",
      "cADpyr232_L5_TTPC1_0fb1ca4724[0].soma[0]\n",
      "1 \n",
      "1 \n",
      "1 \n",
      "\t1 \n",
      "\t1 \n",
      "\t1 \n",
      "[0, 12, 9, 14, 11, 9, 11, 11, 11, 12, 13]\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1728x864 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "ename": "KeyboardInterrupt",
     "evalue": "",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mKeyboardInterrupt\u001b[0m                         Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-3-8a88c2767ffb>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[1;32mimport\u001b[0m \u001b[0mnew_optimize_na\u001b[0m \u001b[1;32mas\u001b[0m \u001b[0mona\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m      2\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      3\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      4\u001b[0m \u001b[1;31m# MODIFY THE FOLLOWING TO CHANGE SHAPE OF BOLTZMANN\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      5\u001b[0m \u001b[0mv05act\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;33m-\u001b[0m\u001b[1;36m15\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mE:\\Dropbox\\Dropbox\\SCN2A Model\\V2\\L5_TTPC1_cADpyr232_1\\new_optimize_na.py\u001b[0m in \u001b[0;36m<module>\u001b[1;34m\u001b[0m\n\u001b[0;32m     14\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[0mnumpy\u001b[0m \u001b[1;32mas\u001b[0m \u001b[0mnp\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     15\u001b[0m \u001b[1;32mfrom\u001b[0m \u001b[0mscipy\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[0moptimize\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mstats\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 16\u001b[1;33m \u001b[1;32mimport\u001b[0m \u001b[0mSCN2A_nb_helper\u001b[0m \u001b[1;32mas\u001b[0m \u001b[0mnb\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m     17\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[0mgenSimData_Na12_mut_new\u001b[0m \u001b[1;32mas\u001b[0m \u001b[0mgsd\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     18\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[0mtime\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mE:\\Dropbox\\Dropbox\\SCN2A Model\\V2\\L5_TTPC1_cADpyr232_1\\SCN2A_nb_helper.py\u001b[0m in \u001b[0;36m<module>\u001b[1;34m\u001b[0m\n\u001b[0;32m    255\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    256\u001b[0m \u001b[0mvclamp_params\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;33m{\u001b[0m\u001b[1;34m'tha_na12mut'\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m-\u001b[0m\u001b[1;36m50\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;34m'qa_na12mut'\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;36m7.2\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;34m'thinf_na12mut'\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m-\u001b[0m\u001b[1;36m45\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;34m'qinf_na12mut'\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;36m7\u001b[0m\u001b[1;33m}\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 257\u001b[1;33m \u001b[0mplot_all_for_params\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mvclamp_params\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    258\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    259\u001b[0m \u001b[1;31m#test_params()\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mE:\\Dropbox\\Dropbox\\SCN2A Model\\V2\\L5_TTPC1_cADpyr232_1\\SCN2A_nb_helper.py\u001b[0m in \u001b[0;36mplot_all_for_params\u001b[1;34m(params)\u001b[0m\n\u001b[0;32m    241\u001b[0m     \u001b[0mWT_fi_curve\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mget_fi_curve\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mstart_amp\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mend_amp\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mnruns\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    242\u001b[0m     \u001b[0mvolts_05_wt\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mget_volts\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m0.5\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;32mNone\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0max\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 243\u001b[1;33m     \u001b[0mvolts_1_wt\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mget_volts\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;32mNone\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0max\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    244\u001b[0m     \u001b[0mdvdt_1_wt\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mget_dvdt\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mvolts_1_wt\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;32mNone\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0max\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    245\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mE:\\Dropbox\\Dropbox\\SCN2A Model\\V2\\L5_TTPC1_cADpyr232_1\\SCN2A_nb_helper.py\u001b[0m in \u001b[0;36mget_volts\u001b[1;34m(amp, wt_data, ax1)\u001b[0m\n\u001b[0;32m    110\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    111\u001b[0m \u001b[1;32mdef\u001b[0m \u001b[0mget_volts\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mamp\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mwt_data\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;32mNone\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0max1\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;32mNone\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 112\u001b[1;33m     \u001b[0mvolts\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mrun_sim\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mamp\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;36m0.01\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    113\u001b[0m     \u001b[0mtimesteps\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mint\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mh1\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mtstop\u001b[0m\u001b[1;33m/\u001b[0m\u001b[0mh1\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mdt\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    114\u001b[0m     \u001b[0mtimes\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mlinspace\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mh1\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mtstop\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mtimesteps\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mE:\\Dropbox\\Dropbox\\SCN2A Model\\V2\\L5_TTPC1_cADpyr232_1\\SCN2A_nb_helper.py\u001b[0m in \u001b[0;36mrun_sim\u001b[1;34m(amp, dt)\u001b[0m\n\u001b[0;32m     54\u001b[0m         \u001b[0mcurr_volt\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mh1\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mcell\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msoma\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mv\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     55\u001b[0m         \u001b[0mvolts\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mi\u001b[0m\u001b[1;33m]\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mcurr_volt\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 56\u001b[1;33m         \u001b[0mh1\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mfadvance\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m     57\u001b[0m     \u001b[1;32mreturn\u001b[0m \u001b[0mvolts\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     58\u001b[0m \u001b[1;32mdef\u001b[0m \u001b[0mget_fi_curve\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0ms_amp\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0me_amp\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mnruns\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mwt_data\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;32mNone\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0max1\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;32mNone\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mKeyboardInterrupt\u001b[0m: "
     ]
    }
   ],
   "source": [
    "import new_optimize_na as ona\n",
    "ona.plot_boltz_opt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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
}