{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "from scipy import linalg\n",
    "from scipy.integrate import odeint\n",
    "sns.set()\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "t = 0;dt = 0.003; s4 = 0;\n",
    "chi=2; ci=chi; s5=0.7; factive=0.2; s7=0.01; s6=1-factive-s7-s4;\n",
    "tnow =[]\n",
    "ixnow = []\n",
    "F1=[]\n",
    "F2=[]\n",
    "F3=[]\n",
    "F4=[]\n",
    "for i in range(1,150000+1):\n",
    "    t = t + dt\n",
    "    ni = 0\n",
    "    if t>30 and t<60:\n",
    "        ni = 100\n",
    "        ci = chi\n",
    "    if t>60 and t<90:\n",
    "        ni = 0\n",
    "        ci = 0\n",
    "    if t>90 and t<130:\n",
    "        ni = 100\n",
    "        ci = 0\n",
    "    if t>130 and t<160:\n",
    "        ni = 100\n",
    "        ci = chi\n",
    "    if t>160 and t<190:\n",
    "        ni = 100\n",
    "        ci = 0\n",
    "    if t>190 and t<220:\n",
    "        ni = 100\n",
    "        ci = chi\n",
    "    if t>220 and t<250:\n",
    "        ni = 100\n",
    "        ci = 0\n",
    "    if t>250 and t<280:\n",
    "        ni = 0\n",
    "        ci = chi\n",
    "    if t>280 and t<310:\n",
    "        ni = 100\n",
    "        ci = 0\n",
    "    if t>310 and t<340:\n",
    "        ni = 0\n",
    "        ci = 0\n",
    "    if t>340 and t<370:\n",
    "        ni = 100\n",
    "        ci = 0\n",
    "    if t>370 and t<400:\n",
    "        ni = 0\n",
    "        ci = 0\n",
    "    if t>400 and t<430:\n",
    "        ni = 100\n",
    "        ci = chi\n",
    "    if t>430 and t<460:\n",
    "        ni = 0\n",
    "        ci = 0\n",
    "        \n",
    "        \n",
    "    f3n=ni**2.5/(ni**2.5+17**2.5)\n",
    "    kcon1=0.1\n",
    "    kcoff1=0.05\n",
    "    kcon2=20 \n",
    "    kcoff2=0.3\n",
    "    kinact=0.2 \n",
    "    #kinact=1\n",
    "    #kinact=0.001 \n",
    "    #kinact=1\n",
    "    #kinact=0.2\n",
    "    \n",
    "    '''s5 = F1,\n",
    "       s7 = F3, \n",
    "       s6 = F4,\n",
    "       factive = F2'''\n",
    "    \n",
    "    s5 = s5 + (s6*ci*kcon1 - s5*kcoff1 + factive*f3n*kinact - s5*0.3)*dt\n",
    "    factive = factive + (s7*ci*kcon2 - factive*kcoff2+s5*0.15 - factive*f3n*kinact)*dt\n",
    "    s7 = s7 + (factive*kcoff2 + s6*0.1 - s7*ci*kcon2 - s7*f3n*kinact*25)*dt\n",
    "    s6 = 1 - s5 - factive - s7\n",
    "    \n",
    "    F1.append(s5)\n",
    "    F2.append(factive)\n",
    "    F3.append(s7)\n",
    "    F4.append(s6)\n",
    "    \n",
    "    incx=factive*f3n\n",
    "    tnow.append(t)\n",
    "    ixnow.append(incx)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = [10,6])\n",
    "plt.plot(tnow,ixnow)\n",
    "plt.xlabel(\"Time(t)\",fontsize=15)\n",
    "plt.ylabel(\"Current\",fontsize=15)\n",
    "plt.xticks([i*50 for i in range(10)])\n",
    "plt.savefig(\"plot/current.png\")\n",
    "plt.savefig(\"plot/current.pdf\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0, 50, 100, 150, 200, 250, 300, 350, 400, 450]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "[i*50 for i in range(10)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = [10,3])\n",
    "plt.plot(tnow,F1,label = \"F1\")\n",
    "plt.plot(tnow,F2,label = \"F2\")\n",
    "plt.plot(tnow,F3,label=\"F3\")\n",
    "plt.plot(tnow,F4,label=\"F4\")\n",
    "plt.xlabel(\"Time(t)\",fontsize=15)\n",
    "plt.ylabel(\"states\",fontsize=15)\n",
    "plt.xticks([i*50 for i in range(10)])\n",
    "plt.legend(fontsize = 8)\n",
    "plt.savefig(\"plot/states.png\")\n",
    "plt.savefig(\"plot/states.pdf\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = [10,3])\n",
    "plt.plot(tnow,F1,label = \"F1\",color='magenta',linewidth = 1)\n",
    "plt.plot(tnow,F2,label = \"F2\",color='green',linewidth = 1)\n",
    "plt.plot(tnow,F3,label = \"F3\",color='red',linewidth = 1)\n",
    "plt.plot(tnow,F4,label = \"F4\",color='blue',linewidth = 1)\n",
    "plt.xticks(fontsize=10)\n",
    "plt.yticks(fontsize=10)\n",
    "plt.xticks([i*50 for i in range(10)])\n",
    "plt.xlabel(\"Time(t)\",fontsize=12)\n",
    "plt.ylabel(\"states\",fontsize=12)\n",
    "plt.legend(fontsize=8)\n",
    "#plt.savefig('./plot/states.png')\n",
    "#plt.savefig(\"plot/states.pdf\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Na-dependent inactivation dictates activation by Ca"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ni = 40\n",
    "plt.figure(figsize = [10,6])\n",
    "for kinact in [0, 0.03,0.1,0.3,1.0]:\n",
    "    cinow = []\n",
    "    ixnow = []\n",
    "    for i in range(1,1001):\n",
    "        \n",
    "        logci = -(8-(i/300))\n",
    "        ci = (10**(logci))*1000000\n",
    "        f3n = (ni**2.5)/((ni**2.5)+(17**2.5))\n",
    "        kcon1 = 0.1\n",
    "        kcoff1 = 0.05\n",
    "        kcon2 = 20\n",
    "        kcoff2 = 0.3\n",
    "    \n",
    "    \n",
    "        k2 = ci*kcon1\n",
    "        k1 = kcoff1\n",
    "        k5 = ci*kcon2\n",
    "        k6 = kcoff2\n",
    "        k8 = 0.3\n",
    "        k7 = f3n*kinact\n",
    "        k3 = 0.1\n",
    "        k4 = f3n*kinact*25\n",
    "    \n",
    "    \n",
    "        x1 = k2*k4*(k7+k6)+k5*k7*(k2+k3)\n",
    "        x2 = k1*k7*(k4+k5)+k4*k6*(k1+k8)\n",
    "        x3 = k1*k3*(k7+k6)+k8*k6*(k2+k3)\n",
    "        x4 = k2*k8*(k4+k5)+k3*k5*(k1+k8)\n",
    "        d = x1+x2+x3+x4\n",
    "    \n",
    "        e1 = x1/d\n",
    "        e2 = x2/d\n",
    "        e3 = x3/d\n",
    "        e4 = x4/d\n",
    "        incx = e4*f3n\n",
    "        \n",
    "        cinow.append(logci)\n",
    "        ixnow.append(incx)\n",
    "        \n",
    "    plt.plot(cinow,ixnow,label= \"kinact=\"+str(kinact))\n",
    "    \n",
    "plt.xlabel(\"$pCa_{in}$\")\n",
    "plt.ylabel(\"$F_{max}$\")\n",
    "plt.legend()\n",
    "plt.savefig(\"plot/inact.png\")\n",
    "plt.savefig(\"plot/inact.pdf\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "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": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}