{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# The Higgins-Selkov model\n", "\n", "This is a visualization of the Higgins-Selkov model of [Glycolytic Oscillations](https://en.wikipedia.org/wiki/Glycolytic_oscillation).\n", "\n", "The Higgins-Selkov model is governed by the following system of ODEs:\n", "\n", "\\begin{align}\n", "\\dot{S} &= v_0-k_1 P^2 S \\\\\n", "\\dot{P} &= k_1 P^2 S - k_2 P\n", "\\end{align}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Running this notebook\n", "\n", "This notebook can be run interactively at http://mybinder.org/repo/mhlr/notebooks/Higgins-Selkov.ipynb\n", "There select *Cell -> Run All* in the toolbar to make the visualization interactive. The startup takes time since [Binder](http://mybinder.org/) has to create a new [Docker](https://www.docker.com/) container.\n", "\n", "If you are running an IPython notebook server, you can dowload this notebook and run it locally." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Imports" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "source": [ "%pylab inline\n", "plt.style.use('ggplot')\n", "from ipywidgets import interact, RadioButtons\n", "from scipy.integrate import odeint" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Mathematical Model" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def dS(S,P,v0,k1,k2):\n", " return v0-k1*(P**2)*S\n", "\n", "def dP(S,P,v0,k1,k2):\n", " return k1*(P**2)*S - k2*P\n", "\n", "def dSP(y,t,*rest):\n", " return array([dS(y[0], y[1], *rest),\n", " dP(y[0], y[1], *rest)])\n", "\n", " \n", "def solve(v0,k1,k2,S0,P0,tmax,tdelta):\n", " sol=odeint(dSP, array([S0, P0]), linspace(0,tmax,tdelta), (v0,k1,k2))\n", " S = sol[:,0]\n", " P = sol[:,1]\n", " return S, P" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plotting Functions" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "Smin, Smax, Sdelta = (0., 2., 15)\n", "Pmin, Pmax, Pdelta = (0., 2., 15)\n", " \n", "def vectors(v0,k1,k2):\n", " S, P, ds, dp, speed = grid(v0,k1,k2)\n", " quiver(S, P, ds, dp, speed, pivot=\"mid\")\n", "\n", "def streamlines(v0,k1,k2):\n", " S, P, ds, dp, speed = grid(v0,k1,k2)\n", " streamplot(x=S, y=P, u=ds, v=dp, color=speed, linewidth=speed)\n", "\n", "def grid(v0,k1,k2):\n", " S, P = np.meshgrid(linspace(Smin,Smax,Sdelta), linspace(Pmin,Pmax,Pdelta))\n", " ds=dS(S,P,v0,k1,k2)\n", " dp=dP(S,P,v0,k1,k2)\n", " speed=sqrt(ds**2+dp**2)\n", " return (S, P, ds, dp, speed)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Interactive Visualization\n", "\n", "Select *Cell -> Run All* in the tool bar to make interactive controls appear." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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1r43PMfxET74AZV8x+ual+L5+DxGvJt79NBAufKckBInup+Cf9yIiGa/ZlIgh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33ZbNgU9DucQ6RS0Nj8Az+JxGc/Vwjxn2kNdY1to9l09+IMPYvTXPiXYk78VRk3P5/Lyo+CvvUl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\nZgL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CvYKc2B1fhSn4zXiwd0JwqWf8wOqAKIpEpxQSXhcPtIegJJoUFBRqTP/+/Vm+fDk7\nduygd+/e/Prrr/Tt25effvqJvn37smPHDnr27MmsWbNYsWKF7FZp5YyDgwPLli1jzpw5ZGdns2zZ\nMtauXUtMTAzvvPMOpaWlrFixgq5duzJ69GgmTpyIvb09//vf/5g5cybXrslrIKWgoKBwL882cmbf\n9VxyinWr+DrZXDeJo6oZhWUaTiQW6Kc65g5CUGPEeHnJ5wAGNXHlp4tZlGt093HxdjLkZpucqfTh\nBF3Sws5CP/IQOfo0ATwT6sy2y9n3jbvE08cQWraXMKraoZPN1T0xCIBvENySlyE4QN+Gzuy4ko1G\ne8/5ys6E9FQIMq3vmEYrEp1cQNs6dAi8i+Ajv4om0HmhHb9VQFG55r7nxfNRCM1Mq2IQICm/jAqN\niJ+TpUH2rySaFBQUakXnzp2JjIxk3759dO/end9++43HHnuMgwcP0r59e6Kjo2nVqhVbtmzh9ddf\np7j4IW2SFe6jZcuWDB48mPfeew8PDw/mz5/PtGnT0Gg0LFq0iBUrVhAXF8fkyZOxtrZm+fLlhIWF\nMX36dF555RVKS6sw21VQUFCQAa425nT3d+CHC5mIFRW66pi2XaUOq0YcvJlHi/q2OFmp9bfToEZw\n9aL+9qcnGrpZ08DegoM3dSa4YtTRO7I50zK81cnm6uj1cw9y6zx3l+YeNqgQOJNaBIBYUY549hRC\nqw4SR1YzckoquJpZQhs9dcISfAMRZdZ5DiDE1RpHKzXHE/6oahLPnEBo1hpBrcffFyNwLq0IDzsL\n3Gzq6IEGUN8bMtMQy8vqvi894mSlpkV9Gw7eyL/veZ3U0fQq0KKTddVMhvJHVBJNCgoKtaZJkyZs\n3bqVCxcu0KRJEy5cuEBAQACJiYm4u7tz+/ZtrK2tyczM5LnnniMpKUnqkE2GqVOncvbsWX777Tee\nffZZ/P39iYiIwMfHh7fffpupU6ei1Wr57LPPWLlyJZcuXWL48OH4+fmxaNEiqcNXUFBQeCDPN3Nj\nb3wuWefOgpsHgrun1CHViN3XcumlBxPwexEaNkO8fF6v+9QXg5q6siU2E60o6hKDrU1LNpeaV0pi\nXhnhnnps3+0fAjevImo1j97WiAiCQL9Gzvxy6Y489dI58PRGcHKVNrAacjQhn/AGtnXu6FiJTwAk\n3pDd+QJdVdPW2LTKx+KZE9DS9IzbjyTk01kP0lQAQW0O7g1k56sF0DtYZ+J+t2pQzMuB1CQIaSJx\nZDXn+K182umhAu1BKIkmBQWFOuHl5cXWrVuxsLBArVZTXl5OaWkpVlZWFBYW4unpydWrVwkICOCZ\nZ57hyJEjUodsElhbW7NgwQJmzZpFfn4+H374IevXr+f8+fMMHz4cGxsbVq1ahbe3N++88w5Tp05F\no9Hw0UcfsXHjRs6ePSv1W1BQUFCoEhdrNT0CHfn+3G2Tk83dyC4hq7iClvo2T/Xyg4I8tFnyMpgG\nCKtvg6VaxfELtyArHUKaSh1Sjdh1JZPOvvaYm+lv1V6wcwB7R90EU2Z093fgSmYJiXmliDFHEVp1\nlDqkGqOXbnP3INjYgYOT7HzQALr42ROXXkRKfhliSTFcuWBy3cs0WpFjt/LprC+pI/I0BAdo6WlL\ncYWWSxk6pYZ4Pgoat9Alx0yI3JIKrmeX6v9edg9KoklBQaHO2NnZsWrVKp544gmuX79OQEAAFy9e\npGnTphw7dozOnTtz6NAhOnTowGuvvcbChQvRaOS3qiQ3OnfuzGOPPcZ///tf6tevz+zZs5k2bRqi\nKPLZZ5+xdOlSrly5wrBhw3BwcGD58uW4u7szd+5cpkyZQlmZvEqOFRQUFO7yXIg9B0R3Mpqa1iR4\n59UcegY6YqbSr9RAUKkgpAkVF8/odb/6QBAEnm/qwpbzmdCqA4KZ6cjmRFFkV1ymXv207iL4hyDK\nzBAcwFKtom9DZ36IzUSMOYYQblrfscyicq7nlOrfoFim8jkLMxV9Qt3YHpcNF2J0xu02hpv8G4Lz\nt4twszXHw85Cfzv19odb1/W3Pz2hEgT6NnRm++U7puBnTVM2dzKpgDBPWyzMDJcOUhJNCgoKekGl\nUvHWW28xb948jh49SocOHdi/fz9du3bl0KFDtGvXjjNnztCsWTP27t3LkCFDSE1NlTps2fP222+z\nadMmkpKSGDx4MFZWVvzwww/4+voydepUZs2aBVApobt8+TLPPfccvr6+LF68WOLoFRQUFKrGKS6a\n3iXxfJ9gOosOhWUaDtzIo0+Ik0H2L4Q2l2WiCaC9tz2FxaWca9hF6lBqxIXbxZipINTNSv87D2gI\nMjQEB3g61JkTN3NJd/NFqFdf6nBqxKGb+bTzstP7BFjwDYIEeTZM6d/UnX3xuRScjkYIMz3Z3OGb\n+XTRk2zuLoJ3gCwrmgB6BDoSlVJAZn4J4sXTCM1aSx1SjTl2K5/2BpTNgZJoUlBQ0DNPP/00kZGR\nREdHExYWxoULF/Dz8yMtLQ1HR0e0Wi3Z2dk4OTnx1FNPsXfvXqlDljUeHh4MHz6cRYsWIQgCc+bM\n4dNPP6WkpISRI0dy+/Zt9u7di7e3N1OnTmXevHkIgsDHH39cKbVTUFBQkBvaI3vp38SVI7fySc03\njerLPfG5tPK0xVUfZrdVIDRsRsUFeSaaVOkpDE7cz8ZsR5PqJLvjSg79GtcziNmtXA3BAewtzeip\nTeTnkD5Sh1IjRFFkT3wuPQINUIHmG4R4U56JpvoOlrTytGVnumByiaZyjchRPcvmAF1FU9INWf7e\n2FmY0dXPgd9OXQO3+ghOLlKHVCOKy7WcTyumjZeSaFJQUDAxmjZtyo4dO7Cy0q0gWlhYkJWVhYeH\nBxcvXiQ8PJzjx48THh7OO++8w4wZMygsLJQ4avny6quvsmPHDq5evUrbtm1p1qwZa9asQa1WM3v2\nbD744AM0Gg3Dhw8nMTGR/fv34+HhwcyZM3nvvfdkeZNWUFD45yLmZsO1izi260i/UGfWn0mXOqRH\notGK/Ho5m2caGXBC4eOPNidT9/nIDPHEAboGuVKiETmZVCB1ONUir6SCqOQCeoe6GeYAPkGQkiC7\nzligS9j0i/2Z37X1yCmukDqcanMtq5Tici3NPGz0v3P/YFkauN9lgF0Ov9ZvT4WTga5XAxGTUoC3\ng4V+ZXOA4OgMggpysvS6X33Rt6EzO5M1VDRvK3UoNeZkUgGN61ljZ2FYGbSSaFJQUDAIjo6OrFy5\nkuHDh3P+/HmaNm3KqVOn6NChA8ePH6dly5bcvHmTBg0acOvWLXr16sXx48elDluWODk5MW7cOJYv\nXw7AzJkzWbp0Kbm5ufTq1QtnZ2c2bdqEubk5s2bN4j//+Q8ajYbBgweTm5vLrl27JH4HCgoKCn8g\nHt+P0KoDgqUVzzV24VJ6MRduF0kd1kM5kVSAvaUZDV0NIMG6g6AyQ92oBWJcrMGOURtEUUQ88Ttm\n7bsxLMyNDWcy0JrAAsae+Fza+9hhb2mYNvGCpSV4eMnSR4abV3FRVdA1wImfL8lzol4Ve+J1Hmgq\nQ1Sg2TnoDMFT5GfgDhBw5QR+lhr2X8+TOpQasf96Ht0D9Gfcfh/e/pAow+8X4OdkiVdhGscbmJZx\nO+jM9rv6G+ic3YOSaFJQUDAYgiAwduxY1q9fT2xsLE2bNuXy5ct4enpSUlJCcXExzs7OnD9/nmbN\nmvHqq6/y73//m+LiYqlDlx3Dhg1j+/bt5OXlERISQvfu3fnuu+8q5XSfffYZJSUl9OnTB3t7ezZv\n3oyZmVllxVNFhemsaCooKPx9EUUR8chehE49AZ1x8ciW9fgy6rZskxeiKLIlNpNBTVwNIsG6F3Xj\nMIiTmeQ5IR40GghoeMc7R+DQzXypo3ooGq3I9rgcngpxNuhx5GoILkbrus0918SF367mUFAqzyqe\neynTaDl4M5/HAw03ARYCGiJev2yw/dcF8cwJnmvkzI8Xs2T7W/hnCss0xKQU0tnXMOdM8AtGvHnV\nIPuuK2JGGn1TjvFrtuEWHwxBQZmGc2lFBvdnAiXRpKCgYATCwsL4v//7P5ycnCgtLcXR0ZErV67Q\npEkToqKiaN++PXFxcXh5eXH69GmeeOIJDhw4IHXYsqJevXp07dqVH3/8EYBRo0axbt06tFotrVq1\nolGjRvzyyy8IgsC7775b6eP0+OOP4+7uTmRkpMTvQEFBQQGdGW9pCQQ3qXyqm78DapXA3vhcCQN7\nMOfSiigq19Lex/ADc3WTloiXzxn8ODVBPPE7QrtuCIKAIAgMb1mPjWfTqdDKdzJ8PDEfF2s1Dd2s\nDXsgGRqCi6KoSzSFd8TDzoK23nZsuyw/OeafOXQzn2AXK71LsO4joCHI0FdLk5wApcU0bx6ElVrF\nyUTTkKcevZVPcw8b7C0NI8ES/INl66slnouinbc9WcUaLmeYzgL58TvnzNbAsjlQEk0KCgpGwtHR\nkeXLlzNt2jROnz5N8+bNOXfuHI0aNSI1NRWVSoWbmxtXr16lWbNmvP3220yaNImMjAypQ5cNw4cP\nZ8OGDQC0adMGKysrDh06BMDo0aNZs2YNAOHh4YSGhrJt27bKiqeFCxdSVCRvaYqCgsLfH/HwHoSO\nPRBUfwxBBUFgfBt3vjmTQVG5/CovtsRmMrCJi0HkPH/GzD8YcjIR8+WRdBO1GsQTBxDad698Lqy+\nLfVszGWbGAT45VI2zzYybDUT3DEEj5dZhUxCPGg14BcMwOBmbmyLyya3RN6Vzf8Xl81TDQ3T0fEu\nuoom+SWayk8cRGjZHpWZGYOauLDlQpZJ+GvuuppLTwMYt1fiGwQ3ZFrRdPYkZi1a81wTF76PzZQ6\nnGpz8GY+Xf0ML5sDJdGkoKBgRARB4LnnnmPHjh1UVFRgbW2NKIqkpKQQHBxMVFQUYWFhXLlyBVdX\nV/Ly8ujRowfffPMNGo38Jh/GpkuXLiQnJ5OSkoIgCIwcOZL169cD0KNHDzIzM4mJiQHuTzyFhYXR\nqlUrvv/+e6lCV1BQUEAsL0c8eRCh4+N/eS3E1ZqW9W34/ry8BuwXbxeRnF9Gd38DTqbuQTAzg6DG\nIBefprhYsHdE8PS57+mRreqx8WwGhWXyuzdfySwmvbCcDj567oJVFQ18oSBXVgbu4okDCG27Vco8\nPe0t6OZnzyaZfbfu5WpmCdnFFbRpYOCqQZ8ASEtGLC017HFqSPnx3xFadwagg489eaUVnEuT9+Jg\nQm4paYXlhu1c5uYB5WWIMjMEF0uK4OoFhKbh9Ax05EpGMTeyS6QO65FkFVcQl1lMWyPI5kBJNCko\nKEhAgwYN2LhxI6NGjeLSpUs0bdqUc+fOERISQkFBAaWlpfj5+RETE0OzZs1Yt24dffv25ejRo1KH\nLikqlYoOHTpw7NgxAPr168eBAwcoKyvDzMyMUaNGVSaXevbsSUZGxn2Jp3Xr1pnECpmCgsLflHMn\nwcsPoV79Kl8e0bIeu67lkpAjj0mgKIp8cyadIc3dMDczfDXTXYTQZrKRz/25mukuIa7WtG5gy7fn\n5Fd1vPl8Jv0bu2CmMvw5E1RmOhnoFXkkBkWtFvHUQYR2Xe97fnBzN36/nktqvvw65AH835Vs+oQ4\nG/ycCeYWuuRggnzkWGJ6KtrMdAhpCoCZSuDF5m6sP50u6zHbrqs643ZDnjNBEHSVeXKTz52PhqBG\nCDa2WKpVPNtIV4Umd/bH59LRxx4rtXFSQEqiSUFBQRIEQWD06NH8/PPPFBQUYGVlhZWVFdeuXSMo\nKIiTJ0/SpEkTNBoN2dnZ+Pv788YbbzB+/HgSEhKkDl8yOnbsWJlwc3FxITAwsDKZNGDAAHbv3o1G\no6lMPK1evRrQVUOVlZVx4sQJyWJXUFD4Z6M9tBuhY48Hvu5qY85LLdxYejxVFma4Z1KLyC7R8HiA\ncaqZ7iI0bIYoA0Nwsbxc5/XTtmuVr49sWY8D1/NktZJ/I7uEuIxiegcbVoJ1L3I5XwBcuwTWtghe\nfvc97WSlpl+oCxvOyi8xmF1cwbFb+fQKNlLVYEBDWckdxegjmLftoqtmvENXfwdKNSInkuTp1VSu\n0bL/eh5PBBn+nAl+QbIzBBdjjiO07FD5uE9DJ06nFMo2kQu6hZM98QaWOv4JJdGkoKAgKYGBgWze\nvJmJEydy/vx5GjduTEJCAu7u7lhbWxMbG0uTJk24fPkyrq6uVFRU0LdvX+bMmUNWlvxXD/RNy5Yt\nOX/+jwFt165dOXjwIACenp54eHhw9uxZAAYPHsyuXbsoKytDEARGjRrF2rVrJYlbQUHhn42YngrX\nLyO06fLQ7Z4McUIQYHuctFIkjVZkTcxthrVwM0plzH34BUNWBmKexHKsM8fB2x/BpV6VLztaqRna\nwo2Vp9JkU3nxfWwmzzZ2wdJIK/YAQsOmiDKROupkc1UnBvs3duFcaiHxWfJJDAJsu5xNVz8HHK3U\nxjlgcGPEqxeNc6xqIEYdwfxPVYMqQWBYmBsbTmfIIun+Zw7ezCfQ2RJPewMat99BZwgun0STWFGO\neP4UQst2lc/ZmJvRJ8SJH2Rc1RSXWYJGFGlcz8ANEu5BSTQpKChIjiAIDBkyhL179+Lu7k5BQQGu\nrq5ER0fTsmVLsrKy0Gg0+Pv7c/bsWRo1asTFixfp1q0bCxcuJD9f3m2W9Ymbm9t9CbZ27doRHR1d\n+bhbt278/vvvALi6uhIYGFj5+vPPP8++ffvIyckxbtAKCgr/eMQDO3Um4JaWD91OJQhM7uDJd+cy\nScyTTkK3+1ou1moVnXyN4PPzJwQzM2jcAjH2tNGPfS/aQ7sQuvR66DZPBjtRXK5rSy81N7JLOJtW\nRJ8Q41UzAeATCJm3EQul/QxEjQYx6vADE03W5ioGN3djTcxt2SQGi8o17LyaQ//GLkY7phDcGK5d\nlMVnIGbehvQU1E1a/uW1dl52WJkLHLiRJ0FkD0YURX65lMUzjYx0zvxC4MYVWZwvAOLOg4cXgpPr\nfU8/E+rM4YQ8MovKJQrs4ey5lkuPQMdK7zZjoCSaFBQUZIOrqytffPEFCxcuJD4+Hn9/f8rLy0lI\nSKhMMnl5eeHg4MCpU6fo2LEj0dHRdO7cmeXLl/8juqo5Ozvfl2jy9PTk9u3blY+7dOnCkSNHKh93\n69aN/fv3A7rOf+Hh4f94rysFBQXjIpaXIR7p6iU+AAAgAElEQVTejdD9qWpt7+VgwdDmbiw6kkKF\n1viTi4IyDRvPpjO+jYdRB+X3IjRtpfMBkQgx8zbcuIoQ3vGh25mpBF5pW5810bclNwZfdzqdF5q6\nYmNu+Lbd9yKo1RDYCK5cMOpx/8Kls+DqjuDu+cBNegc7kVlUwfFEeUiyfruaQwsPG6NUxtxFcKkH\n5uaQlmy0Yz4IMfooQlh73TX0JwRBYHhYPb49myHJ7+CDuJBeTEmFSHgDW+Mc0MVN999secg+xZjj\nCK06/OV5Bys1PQIdZenVVFCm4VBCHk8EGTcJrySaFBQUZEe3bt3Yu3cvTz75JLGxsTRu3JjU1FSs\nrKzw8PAgJiaGFi1aUFpaSkxMDOHh4ezZs4cOHTqwaNGiv3XFjiAI963quLu735doCggIICkpqfJx\n9+7dOXDgQOXje6V2CgoKCsZAPHUYfAMRPBpU+2/6NnTC3sKMDWfSDRhZ1ayNuU0HH3sCXayMfuy7\nCE3DES+eRtRqJTm+eHgPQruuCBYPr0ADaFTPmrbednwVdfuR2xqKs6mFJOaVGb+a6Q5Cw6aSG7iL\nJw4gtOv20G3UKoFX2nrw5ak0SiqkubbuUlyu5ccLWQxu5vrojfWMENwE8Zr08jkx6nBlt7mqaFHf\nlvp25uy6Kp9x7c+XsugX6ozKSEl4QRAgMBTxmvS+WqJWi3j6fn+mexnU1JUD13NJK5CXV9O++FzC\nPW1xsTaSPPUOSqJJQUFBllhaWvLaa6+xZ88eGjRoQEZGBvXr1yc2NhYfHx9sbGyIioqiU6dOAFy8\neJH27dtz5swZOnfuzAcffHBfAubvQkJCAr6+vpWPHRwcyM3NrXzs4eFBampqZTIqLCyMy5cvVz7u\n0qWLkmhSUFAwKuK+X1E91rdGfyMIAm928uTAjTxOGrH64nRKIdHJhYxqVbUvkbEQXN3B1l6S7lji\n/7N33+FRVOsfwL9ndpNsNr1BQhLpJVIMkIQmWOiiiIqKCoqi13oV+7UjP73IVSzcK3oVbFcFRBAU\npPeAQCihJECAGEIaIb1tNrs75/dHJBCRkmSysyTfz/PkISGzM2/O7MzOvHPOe1QVcuvaiw6bO9t9\nPUNwILfCqfvqNIcq8eXuXIy/KgRuBn1ubUTUVZAH9+qybeCPXoOJ2y9aAw2oTl50CfHEfJ1nDFx2\nuBDdWprRJkCHhG6HKEDnOk2yMB/IzgCielxwuft6tsDc/Xkos+rbYxAAThRbcTDXguudWFAaAES7\nzoArFHA/fgwwmSDCIv7y1/4mI0Z2CsA8F5qNU5USv6YU4YZOAU7fNhNNDZSQ4Ib0dOd20a2LsjJ9\nunz/laNHgQMuMikHXT5atmyJ999/H19++SVKS0thMpkQGBiI3bt3IyoqClarFQkJCYiLi0NFRQV2\n7NiBAQMGIDU1Fddeey2eeuqpmuLYTcGxY8dqJZpOnTqF4ODgmp+9vb1hNBpRUlI9pt9sNtf6+cor\nr0RBQUGTTMIRkeuRx48CxYVAj5g6v9bPZMRzV7fCv7dnO6VeU3mVAx9vz8FjcaFOH371V0S3XpB6\nDJ87tBfw8oa4ov0lv8TsZsCTfcPw8Y4cFFrsjRjcuX5NKYTZ3YCBrZ1fT6tG6w5AYR5ksU4F3Pcl\nAJFtIQIurXfQpN4tsTa1GMd0KgxeVuXAz4cKcFf34Isv3AhE+yjIo/oOdZR7foO4KhbC6HbB5doF\nmtAv0gffu0DyYsGBfNzYJQCebs5NIYh2nSF/1z/RJBO3nbc302ljogKxK6vcZWbjTMwuh7tBOLUI\n+GlMNDXAsWMGTJwYhBtvDMbOndUniYwMA1JT9bs4UVXg73/3wfLl1WOdn37aB/n5+ieb0tOB7dsF\nJk9WYNWvtuc5vvrK6jrF5eiCoqOjsWTJEjz33HNIS0tDWFgYTCYTdu/ejbi4OCiKgsTERPTt2xeK\nomDbtm2Ii6ueEeLBBx/E6NGjsXjxYlRVuVZ31rr65ZdfMHjw4Jqfs7Oz0arVmeEoUkrY7Xa4u5+p\nd9CyZUucPHkSAKAoCiIjI5Gdne28oInqiefny59c/yvENSMglPpdG0WFmDH+qhC8tSEDJY34RF9K\niX9vy0bvVl7oHe7daNupC9G9N+S+BKdvV26+eBHwv9KtpRlD2/vh/a1ZcDippkx+hQ0/HMjHI7H6\n1dMC/ijg3rk75EF9Crir8ashBgy55OUDPI24v2cLzPwtGzaH88+z8/fnIS7CGxF+Fx+a2SgiWgPF\nhZClxRdftpHIhM0QvS/eAw0A7rkqBPFpJfhdx+RFVkkVdmeXY5QOPWPQpiNw4ndIm76FtuWebX9Z\nn+lsXu4G3NktGHN2u0bR/YXJBRgTFajL+bHJJJr0uHcMCFDRpYsN+fkG3HFHMJYsMWHLFne88II/\ndBpSjyVLPLBokQkPPuiHDz4wY+1ad7z2mr4XTMnJwPXXK5g+XeDgQYH339c/8WWzSfz4YxWmTavE\nggWuMzvAzp2V2L/fhTJxLkYIgRtuuAFr167Fww8/jCNHjqBt27ZQVRXbtm1Dr1694HA4sHnzZvTt\n2xdeXl7YuHEj2rdvj44dO+Kbb75BXFwcpk6dipSUFL3/nDo7efIk4uPjcfPNN9f83+7du9GpU6ea\nnwsLC+Hh4QFPzzNPLvz9/VFYeOYpa3BwME6dcn7dE3J9Ukrk5+tbt+NsSUkSCxY4XOJijepOlpVU\nP7WvR9LibMM6+KNPhA/e3pDRaHVlfj5UiNxyOyb1btEo66+XTt2Ak1mQRc4rLivLSiCT9kDEXXPx\nhf/CuO7BUFWJ+Qcav/eFlBIfb8/BiI7+iNQrYXEWcWU0kOz8RJMsOAWkpkD06l+n113b1hchXkan\nD/M5UWzFht9LMD5av+GpQjEAHa6snkFMBzI3u7oYedeel7S8r4cBE6JD8J9tOU5L4v7Z/P15GNXJ\nH17uzu9QITxMQMtWwIlUp2/7NJmTAVjKq5NeFzGioz8KLXbsyNS36P7hPAtyy6owsI2vLttvMomm\nT75wfjIlMFDi++/zcdttFbBaBR57LBAzZvjgt9888P33ZqfHAwA332zFM8+UAwDee88LVqvAkiUm\nrFjhvNkc/uzQIQGrFTU9q2bNEkhw/gO6Wv7zHyueesqCsjLglVcs+P13/cc979hRiSlTCvC3v+Wi\nqEj/eADA4ZD48sscOHR42nUhBoMB99xzDzZt2oQxY8Zg7969uPLKK2E0GrFr1y5ER0fDZDJh69at\n6NChA0JCQnD48GFkZmbi+uuvR0lJCcaNG4cbb7wR//vf/2olYVyVlBIvvPAC7r33Xvj4nBkesHDh\nQtxyyy01P2dlZaFly5a1Xpufn19reF1wcDDy8vTvgq0XV3s///ZbOSwW10juCCEwZUoJNm1yjYR3\n164CM2c68Le/OXcoDmlDrv8Vomc/CN+GF2i+r2cIwn3d8fbGDFg1TjZtO1GKnw4W4MWBrXSr8fNX\nhNENoltvyL07nLZNuW09RI8YCK/6XVcbFIHnrw7HumPF2HK8cadl/zWlCMWVDtyp0/CrPxNR0ZAH\n9zo9MS63roWIvRrCo27JNiEEnugThrWpxdiXU95I0dUmpcTsnScxtmsQ/E3OLUz8Z6JLd8hD+pRW\nkNs2QMRc/ZezzZ3PkPZ+8HRTsPSw869ZjxVUYm9OOW6OCnT6tk8T7TpD6linSe7YVL3PlIt/RhgU\ngQd6tcAXu3I1/7yqi4VJ+RgTFQSjok8nD9f5NG2gj2b5IDXN+RlWDw/go4+K8Pzz1R+mmZnVJ4y3\n3vJFdrbzm1dRgLvvrkRsbO1eOv/4hw8KC53/Jlu9GvjiCwFVPbNtVa0eQqfXTPS5uSqys89cBFRU\nAE88YYHNpu/N56+/lmPPHivS0+14+uk8qC4wlek776RjypTjePvtdL1DqbF+/SmsWlU9DMzDwwOT\nJk3C1q1bMWzYMOzbtw/t27eH0WhEfHw8OnbsiJYtW2L//v2orKzEoEGDUF5ejl9//RUxMTGIjo7G\nxo0b0a9fP0yYMAHz58+v14x1mZnlSEsr1fpPreXTTz9Fbm4unn322Zr/S0hIQGFhYU1BdABYs2YN\nYmL64MCB6ifgUkrk5OQgLOzMdMfu7u5OH0KYm+saY9UBICfHii+/1H9a49PsdokxY9KQkeEawzqv\nucYDd99diHfeKYXdru95SAiBe+4x4Ndf9T8fUt1IqxVy/TKI4bdqsj5FCDzeJxT+JiPeXH8CZVXa\nPJA5cLICs7bn4NVrItDSW7+HcucjevaBTNzmlG1JVa1ODl47skHr8fc04uVrIvBpwkkcOmXRKLra\nUgsqMW9/Hp4Z0Eq3m6hztAgDDEYg64TTNilVFTJ+Tb17Dfp7GvFUvzB8uDUbRU6orbU2tRglVgdG\nddZh+NWfiC49dEk0SSmrE7r9rq/T68Qf58AFSfnIKHbewyApJb7YnYtxPYL1rV3XrjNw7JAum5ZS\nVg91jB14ya/p1cob7QJN+DEpvxEjO7+j+ZVIybNgSHvnFm4/W5NJNFmrBF58wx/O7l0vJbBkiSdW\nr649Y0JpqYJXXvFzejy5uQJPP+2DhITaheVOnVLwxhvO7/UVEwPcdJNE27a1GyItTeCf/9TnwqCg\nQMJkAvz9z2w/MdGBGTP0e4J/4oQNJ07YcbqszqpVFfjkE/3GjQOAxeJAWpoVdrvEf/+bja+/ztE1\nHqD6RP/118fx4IO78e23Z7rPms1mPPTQQ9i6dSvGjh2LlJQUREZGIjAwEMnJyVAUBR07dkROTg42\nb96MQYMGwd/fH4mJidi1axduvvlmdO3aFatXr0afPn0wYcIEfPXVVzh+/PglxfXww1swevQaOBza\nP7VQVRVTp07F999/j88++6ym9lJFRQUmT56MqVOnQvnj6YqUEj/99BPKyrphxIhfceRIMbKysuDp\n6Qmz+Uwvy4yMDISHh2se64W89tp+WJxcIPZ8WrXywMcfn8BHH6W7xJCsfv28kJFhw8iRv2PrVuc8\nVb6QkSM94Okp8O9/l2Ps2AJkZurbw/KOOxS4u979P12E3LoGaB913tl56sOgCDzdPwxtAkx4eXU6\nckoblpzdmVmGf23OxHNXt0KHIB1mvroU3XoBRw9CWpzwdC5pN2AyA+2jGryqdoEmTO4Xhn9uytC8\nKG6BxY63N2bgkbiWCPd1nZODEKK6gPt+J3bbP7wf8DRXFyOvp55hXhjawQ/vbM5s1HpNp8pt+HrP\nKTzVL8w1koMRbYHSEsgiJycCUg8DBgPQpu77LMzHHff0CMb7W7OcVltr24kyFFfaMbR9w3umNoTo\n2BXySLI+120nUgG7HWjb6eLLnuXB3i2w4kgR0p2YGDztf4m5uKN7MDyM+qV7DFOmTJmi29Y19OY0\n4ESmERHhdnSLct7NjBCAr6+KwkIFKSluqKw8c+I8dswNnTrZ0Lmz8+Lx8gLGjrVixAgr7Hbg6FEj\n7PbqmA4eNOKqq+xo1855Nw2entXJpokTJeLiJCwWgdRUQEqBxESBuDiJ1q3rv34PD48698wIDlZw\n3XVuePBBd3TpoqC8HDh+XMWOHQ7062dEZKTzD0g/PwNuvtkb99/vi/bt3VBZKfHDD6WIizMhMvLC\ns1E0Fjc3BaNHB2HChBaIijLjt99KERrqhrAw/eogCCEwZkwr3Hdfa7i5ucPHR8DtrJkvjEYjevTo\ngYkTJ8JkMmHFihUQQqBjx47Iy8vDoUOHMGTIELi7u2Pjxo3w9vbGddddB7vdjmXLlqG8vByjRo1C\nq1atcOTIEUybNg1z587F8ePHYbfbERQUBJPp3JuRgAAPxMQE46qrLm22l0u1c+dOPProo8jLy8Pc\nuXNrhsRVVVVh8uTJiIyMxJNPPlmz/IoVK7BlyxZMmfIqgoJMGDkyEvPmzUVgYCCGDRtWs9xHH32E\nCRMmIChI23gvZPHiDAQFmdCmjVeD11Wf4/5sQgjs3VuGOXOyEBLijquu0nGmIgCKInDsWBV27rRg\n0aJi+PkZEB1t0q2wrbu7QGqqHcnJdmRlqViwwIIOHYzo0EGfYQ6engJHjkiMG6ffUzm6sNLS2j06\npd0G+fl7UO6cBBGo7bAmIQR6hXlBlRIfbs1GCy83RPq51+l4UaXET8kF+CbxFF65NgJdW+hT7uCv\n/Pn8JoxukEcPAm5uEBFtGnXb6tz/QgwcCuWKdpqsr5WvO0K83PD+lix0D/VCoGfDzyFlVQ5MXZ+B\ngW18L3m67oZ+ZtSJUCDjV0O5+tILczeEXPwtxFVxUNp1btB6urYwIyGzDPtPViAu3Puix1Nd29Su\nSvxzYwaubeuLAa31qRfzZ0KI6qFYbh6NfmydTS5fANHhSiidutX8X13as0OgCTszy5BWZEXPsIZf\nU11IWZUDb23IwFP9wvTv8Wn2glz7C0R0HITXxa/btDzu5eqfISLaQLkyuk6vM7sZ4GlUMG9/Hga3\n84PipOu6vTnlWP97CZ7sF6bZNs8u23GphHSFx7kaEH+cs/z9VGxanougQOePh6yoEFiwwBOzZ3sj\nNbX6wzQ42IENG3IREKBPMxcUCMyda8LXX3siM9OA0FAH1q0rhJ+ffrs9JweYO1fg228FFAVYu1aF\nbz0/c3x8fM65wK2PzEwVCxZUIT7ejtmzvWr1dtJLXp4DO3ZUYsQIMxRXePLjYi5l30spER8fj9mz\nZ2PPnj01s9Nt3boVXbt2RatWrVBaWootW7agb9++aNOmDaqqqrB27VoYDAaMGDECLVq0QElJCRIS\nEpCYmIgrrrgCffr0QUxMDLp27Yp27drBWIcx9hdjsViwZs0a/Pjjj0hKSsILL7yAsWPH1vRaKi0t\nxUMPPQRPT0/MmjWrpuh3fn4+hgwZgs8++wyxsbE1f//QoUMxderUmuF1xcXFiIuLQ2JiYq2C4Y1N\nSqlZ4kSL437+/Bykp1fiiSci4emp/zTmq1eXYuLEEzCZBBYtaoNu3UwwGPQ77uPjrbjzzuo6EP7+\nApMmeeGBB8zw99fnydjWrSrGjtWuZwxpKyur9lBUdcNyyMRtMEx+s1G3ezjPgpm/ZSPMxw0Te7a4\npBms0gorMWdXLmyqxLMDWiHES5+HOefzV+c3ddt6yB2bYXjy9UbbrszOgPruS1Cmz4Fw0/aG8rf0\nUnyyIwfPXt0KV4XW/8a4rMqBKetOoHOwJx7s3eKSP1O0ula8FNJWBfXZe6G8/RmET+MmVGR5GdSX\nHoIy7bNLuvG+mAqbA6+tOYGeYV4XLdRd1zb9fOdJZJdW4dVrI5x2s30p1HVLgfRUKBOfvPjCGpA2\nG9QXJkJ55X2I4DP1NOvaniWVdjy7Ig0Te7XAgCsa73328fZsKELg0bjQRttGXaifzwC6dIcycNhF\nl9XquJeqWn2c/f1ViIi2dX69KiXeXHcCXVuYcYcT6sk5VIlnV6ThtiuDNC0CfvYM15eqyfRo2rqt\nEqlpRlRaBU6eUnDDUOfXA3FzA6KjbZg4sRzR0VXIyzPg0CE35OUZMGKEPvVJPD2BuDg77r/fgm7d\n7Pj9dwP27jVi+HD9aoF4ewP9+gGTJkm0aSORkiIQVc9e2lplq319Bfr2NWLsWDfY7YCHh/4fgmaz\ngo4d6/aUtjm5lH0vhEDr1q1xyy23YMSIETh27BhWrlyJmJgYBAcHIz09HUlJSbjhhhsQFBSE5ORk\nbN68GQMHDkRcXFxN0mndunVo27Ytxo0bh0GDBsFoNGLTpk2YPXs2pk+fjhUrVmD37t04fPgwsrOz\nUVZWBkVR4ObmdsEkVHl5OU6cOIE9e/Zg8eLF+OSTTzBlyhTk5uZi9OjRmD59OqKjo6ufukmJxYsX\nY9KkSYiNjcX7778Pjz8KfxYXF2PSpEkYMmQIxo0bV7P+n376Cdu3b8fLL79c8z6aP38+DAZDrQLi\nzqDl+1iL475rVy8MGBBQq0ecnsLD3WA0Aq++GooePTx1Ty5HRBgwf74F3t4CnTu7Ydo0X3h769dW\nERGAb32fSFCjO/tiXtqqIP/7LyjjH4MIaNxek8FmNwzr4I8Cix2zduQg+Y96QIGexlrDBcqsDuzO\nLsf/9p7CgqR8DO/oj4djQ+HtoX+S+c/+8vwWHAo5fw7E1UOrZ19qBHLhVxBX9oQSdZXm647080CH\nIBPe35IFuwp0CfGs82dCRokVb6w9gR6hZkyqQ5IJcG6PJmEwQKamAIoCEVn3m9K6kPGrIIxuUPpd\np8n63AwK+kZ646s9p2CxqbjyAj396tKmy1MKsS61GFOui9R1GM9fMnlCLp0HMWS0c6639+6AzDsJ\nZejNtf67ru9RD6OCK0PMmLElC73CvOCvQW/BP9t2ohTLUwrx4sBwuLvIJAmyvAQ4kgzRq99Fl9Xs\nuD92CDJpN8Tou+v1HhFCoHuoGf/eloOuLcwIMjfuw41fDhWiwGLHfT1DNH1PN+seTVlZWTiaasRn\nX3rhxyVmfPVJAQYN0H/WnORkI+bM8cIdd1jQp49rFHo9eNCA1q0dMLtOT/F6c+ZTKnIt9d33JSUl\nWLx4MebOnYuCggLExsZCCIHt27fDy8sLffv2hclkQnJyMhITEzFgwADExcXBaDTiwIEDiI+Ph81m\nQ0xMDGJiYtClSxcYDAYcP34c6enpOHHiBE6cOIHMzEwUFRXBYDDAz88PZrMZUko4HA44HA6UlJTA\nbrcjNDQUERERiI6ORnR0NGJiYhAScuZJYnFxMX7++Wd8//33AIA333wTcXFxNb/PycnB+PHj0a9f\nP7z55ps1PZ+ys7MxfPhwfPfdd+jevTuA6l5Fo0aNwvPPP4/rrtPmwlQPTfW417LXlxY++aQcY8ea\nEBio6Nq76rT6PE0j5zi7R5O65mfIg3th+PtrTo3BalexMa0E20+U4kCuBe4GAbObAqtDwmJT0SHI\nhGva+OLq1j76FrS9iPOd39TPZwDtO0O5/kbNtykL8qC++SSUtz+F8G68hG5ehQ0z4rPgkMBjcS3R\nJuDiSTOHKrH6WBG+35uH8dEhGNah7nVinP2ZoW5ZA7l/JwyP/KPRtiGlhPrGE1Du+huExsnB/Aob\n3lh3ArHh3rg3+q9vVi+1TdenFuN/e0/h7SFXIMzHdeppnSal/KO3ymsQ4Q2o5XGJHLP+CdE95pwe\nOfV9j25KK8HXe3LxzrDWmvbOPFlWhedXHMcr10agc7Dzer9fjMzJgPrhFBjemX3RZbU67tXv/wv4\n+kG5cdzFF76AbSdKMWfXScwY2Ra+jfSQ41S5DU8vT8O/hrVGK43r19XnGqxJJZpOO5WnYEO8B8be\nbIGrXLPb7YCGo2voD031hpMuTot9f+DAAXz//fdYsmQJoqOj0bp1a5SXl2P9+vVo3bo1+vfvD6PR\niJSUFMTHxyM8PByDBg2qmdkuKSkJCQkJSElJQVhYGLp06YIuXbqgU6dOiIyMRKtWreDt7Y3S0tKa\nXk4GgwEGgwE+Pj7w9fWtdQEnpURxcTEOHDiAXbt2YefOndi5cycGDhyI22+/HYMHD65JJNlsNnz1\n1VeYOXMmHn74YTz++OM168rNzcX48eMxatQoPPXUUzXrnz9/Pj777DOsWrUKBoPr3mhdDI9751BV\nqXvPqrMx0eS6Tl+DyfJSqK89BuXZt5xy03Y+UkoUVjpgtaswKgKBnkYYXOi9fCHnO7/J/bugLp0H\nw0vvar5N9Yc5gJRQ7nxQ83Wfsy0psfpoMb7bewpXtvDEDZ0CcGUL8znFoa12FVvSS/HzoQJ4GhU8\nHHtpiam/4uzPDFlSBPXVR6G8+xWER+PUtZTJe6D+8AWUN2Y2ygOKEqsDb204gQBPI57sGwYv99rX\nDBdrUyklFh8swM+HCvHm4EhccQnDWvWifvcpEBQCZcRtjbodWVoC9ZWHobwzG8JcewhpQ96jSw4W\nYNXRIrw95ApNejaVVTnwyup0DGnvh5u6BDZ4fVqSUkJ97j4oL78HEdTigstqcdxLhwPqC/dDeeEd\niJYNvwb5ancu0oqseO3aCM0/kxyqxBvrqnt93tFN+yF6TDRRs8MbzuZLy31vsVjw66+/YvHixUhI\nSMDAgQMRFBQEq9WKjRs3wsfHB4MHD0aLFi1QXl6OLVu2YP/+/YiKikLv3r3Ro0cPBAQEoLi4GIcO\nHcKRI0eQmZmJzMxMlJWVITQ0FH5+fvD29oa3tze8vLwgpURVVRXsdjsqKiqQk5OD7OxsAKhZb0xM\nDPr164eAgDMFTwsKCrBo0SJ88803CA8Px9SpU9GxY8ea3x87dgzjx4/HHXfcgcmTJ9dcgP7+++8Y\nPXo0fvjhB0TVd6yqi+Bx3zwx0eS6Tl+DqfM+BxwOKPc8onNEl6/zJpocDqgvPgDlmf+DaHWFZtuT\nJUVQX38cyusfQgReuC6PlirtKtYeK8a61GJkl1WhtZ8HAs1G2FWJ/Ao70ous6NbSjBEd/RF7CcWp\nL0SPzwzH+69BGTQcIubqxln/zKkQPfteUq2a+rI5VMzZlYs92eV4NC4U0WcVnr5Qm5ZYHZi98ySO\nF1nx6rURLlcH7c/k/p1QVyyE4flpjboddeVPQOZxKA9MPud3DX2PztuXh41pJZg6OLJB7V3lUDFl\n3Qm0CTDhoToOUXUW9dPpQI8YKP0HX3A5TRJNB/dCXfg1DK++36D1nOZQJaZuyECotxseiW2pafv+\ncCAPe3MqMPX6yEZ5sFKfazD2sSGiZs/T0xO33XYbbrvtNhQUFGDp0qVYsmRJzSx1oaGhqKysxIIF\nC5CTk4P+/ftj8uTJ8Pb2rhnatnv3bhgMBkRFRaFTp04YPHgwOnXqhPDwcFRUVKCkpASlpaUoLy+v\nVcPJzc0Nnp6eCA0NRVhY2Dl1aKqqqrBr1y4kJCRg27Zt2L59O4YMGYJp06ahf//+NR9SFosFs2bN\nwhdffIFXXnkFd999d8060tPTcd999+GZZ5657JNMROSaZOZxyO0boUydpXcoTZIwGCAGDodcvwzi\nnkc1W69c/iNE3CCnJpkAwGRUMKpzAJn9Ua8AACAASURBVEZ1DkBRpR0ZxVXIr7DBzSDgZzKiQ6DJ\n9er51IHocw3UHZtgaIREkzyZBaQdgXjkRc3XfTY3g4JH4kKxM7MMH2/PQWt/D9x6ZSCiQv56KFWF\nzYE1x4qxKCkfV7f2xTvDWsPTReogXlCn7sBn70JWlEGYvRtlE1JVITetgPLA042y/nE9gmFyE3hx\n1XG8ODC8XsPdyqwO/HNTBoLMbnUqtu90XXsCSYnARRJNWpC/rYeIG6TZ+gyKwIsDW+Hl1en44UA+\n7tSoOPjurDL8ergQM0a2caneu0w0ERGdJTAwEPfeey/uvfdeZGVlYfny5Vi9enXNrHUjRoyA2WzG\nsWPHEB8fD4fDgT59+uCJJ55AixYtauo1bdu2Dd988w1SU1OhqirCwsJqvnx9feHl5QWz2VzTuyk5\nORlWqxWVlZXIy8ur6RGVlZWFtm3bIjY2FjfffDNmzpxZKxmVm5uLRYsW4YsvvkDPnj2xcuVKRESc\nmZ1rz549mDRpEp588klMnDhRhxYloqZOOhxQv/wI4pYJjT7TVnMmrhkO9Y0nIG+595yhN/UhC/Ig\nf1sP5c3/aBBd/fmbjPA3Na1bEtGzL+T82Y2SvJArF0EMGg7h7pzhaDHh3uje0ox1qcX497YcVDlU\nxET6I8hUnTAstTpwNL8Sh/MsiA7zwqvXRqJDUOMUrW8MwsMD6NgVMikRIrZxeqDh0D7A3QNo17lx\n1g9gTFQQQr3d8daGDIztGoQbOwdcctLh98JKvBefhV6tvHB/rxYuNTPgn4muPaEu+gZSdUAojVcG\nQloqIBO3Qxk7UdP1mt0MeP26SLy2Jh0SwLgGJpuOFVTiw63ZePmaiEYvNF5XTeusTkSkoVatWmHS\npEmYNGkSSkpKsGHDBqxevRrr169HSEgIhg4dioiICBgMBqSmpmLhwoU4evQoOnbsiO7du+PWW29F\np06dEBpaPS3s6eFxp3s2lZaWIicnB0IIuLu7w8PDAx4eHoiOjsaNN96I8PBwhIeHw3xW5X6Hw4Hk\n5GQkJCRg/fr12LFjB4YPH45Zs2YhJiamZrmioiJ88MEHWLhwId5//30MG9Z43euJqHmTqxYDZi+I\nRhzGQ4DwD4Lo2gty61qIIaMbvD75y1yIgcMg/AIuvjDViTB7A116QO7+DeLqoZqtVxbmQ+7aCuWt\nTzVb56XwMCoY2SkAIzr6I6OkCkeLVZzIL0VxpQPe7gqGdfDH0/3D4HuZJgxFj1hgz29AIyWa1I3L\nIQaNaPReQn0jfdDa3wMfb8/BxrQS3N0jGL1beZ13uyVWR02Np4k9QzC4fd2L7TubCAwBfPyA46lA\n244Xf0E9yZ3xQJfuEL7at0mgpxFvD7kCr61NR0mlHQ/0bnlOnbpLcTjPgn9uzMCjfULR5Tw9DfXE\nGk10WWOtluZLz33vcDiQlJSELVu2YMuWLUhISEDbtm3Rp08fREVFwWg0oqysDEeOHKn5Ki8vxxVX\nXIHQ0NCar5YtW8LHxwdmsxkmkwlmsxlCCFit1pqvwsJCZGRkIDMzExkZGUhKSkJQUBBiY2MxYMAA\njBw5El5eZ55sZ2ZmYuHChZgzZw5GjhyJ5557DsHB2hcF1BOP++aJNZpc14lxg6uLswa31DuUy95F\niywfOwT18/egvPUJhLH+T6/l70egfvw2lKkfa9I7ypXp9Zkhd2+FuvpnGF58R7N1qvNnAxBQ7pyk\n2Trro6l9DsvSYqivPNIoBdzlqRyo/3wWyrTZEKa/TgZo3Z5SSsQfL8XC5HxY7RJxEd7oGGRCoKcR\nVQ6J3HIb9udUYHd2GfpG+uCuHsEIdrHeMBei/jAHMHtdcCa4hrap450XoIy8HeKq2Hqv42LKqhyY\nEZ+FKlVicr+wOtXX2ppegk92nMSTfcMQG9E4Qz7PxhpNREROYDAY0KNHD/To0QOPPvooqqqqsHfv\nXmzfvh1r167Fnj17YLFYEB0djd69e+Ouu+5CcHAwTCYTiouLkZOTg5ycHOzbtw/l5eWoqKio+QIA\nk8lU07vJ19cXERER6Nu3L8LDwxEVFVUrcaSqKo4cOYIdO3ZgyZIlSEpKwqhRozB//nx06dJFryYi\nomZEue9JJpmcRLTvAoRFQG5eDXHdDfVah1RVqHP/C3HrhCafZNJVjzhg7ueQGWkQEW0avDpZXAi5\ndR2UKf9ueGxUi/Dxq+4dsz8B0Liully3FGLA0PMmmRqDEAID2/ji6tY+OFpQiV2Z5Yg/XooCix3u\nhuqZOLuHmnF/7xYI1GCmOmcT3XpB/WUecIFEU0PIrHQgLxfo1qtR1n+at7sBr14bgYXJ+XhmeRrG\ndg3CiI7+F6xPV2Cx45s9uTh4yoLXro1Ap3rU43KWy++dRUTkYtzd3REbG4vY2DNPPU6ePIm9e/di\n3759WLFiBY4ePYq0tDQEBwejffv2CAsLq9W7KSQkBGazGWazGZ6enjCbzZBS1urdVFJSgp07dyIr\nKwuZmZlISUnB7t274evri969e2PChAkYOnQoTKbLpzYCEV3+GvOJL51LGTMe6n/eguw/uF69L+TG\n5YCiQPS9rhGio9OE0QgxaDjk+l8hJjzW4PXJpfMg+g+GCAjSIDr6MxE7EGrCZk0LuMuK8urk4Bsz\nNVtnXQgh0DHIEx2DXDcZUS8duwIZaZDlpRBePpqvXm74FWLgUAhD49WAOs2gCNzRLRj9In3wv8RT\nWJicj0FtfBHTyhvhvu7wcldQZlVxrLASCRll2J5RisHt/PDhDW1dvtg+E01ERI2gZcuWGDZsWK3a\nSA6HA+np6UhNTa3Vq2nVqlXIy8tDRUUFLBZLzb9A7d5N3t7eNXWbwsPDcffdd2PGjBlo0aKFXn8m\nERE5mWjdAWjXBXLVTxA31e2JvszOgPx5LpQXp0Morn2T0hSIgcOgvvE45G33Naj3mMzJhNy5Bcr/\ncVbHxiJ69oP8YQ6kpQLC03zxF1wCuWkFRLfeEIFNq4SB3oSbOxB1FWTidogBQzRdt6ysgNy+yek9\nByP9PPDyNRE4UWzF1vRSzN+fh5wyG8qrHPD2MCDSzwM9w8y4r2c7+F0mtdAujyiJiJoAg8GAtm3b\nom3btnqHQkRElzHlzklQ/+9pyOg+EJGX9pkiq6xQZ8+AuPkeiNDwRo6QAED4B0J0i6nuIXHD7fVe\nj7roa4ihN0N4c1bHxiK8vIHOPSATNkMMGt7g9UlrJeTqJVCe+T8NoqM/E70HQG7fCGidaPptA9Cl\nh249ByP9PHBndw/c2cDZ6FwBH2UQEREREV1GRGAIxNiJUL/8ENJmu+jyUlWhzvkAIjQc4poRToiQ\nThM33Qm5eglkRVm9Xi8TtwOZ6RBDb9Y4Mvoz5dqRkBt+hRZzZckNyyE6doUIb93wwOgc4qpY4EhS\nvY+rvyJVFXL9Mij1rH9HtTHRRERERER0mRH9B0OERkD97F1Iu/28y0nVATn3v0BZCcTEpxp9inWq\nTYRGQFwVB7lycZ1fKysroM79L5Txj1YPF6LGFXUVUGkBUg83aDWy0lKvoa106YTJDHTpUZ2I1cr+\nnYCbG9C5u3brbMaYaCIiIiIiuswIISAemAzYbVBnv/eXT/ZlRRnU/7wNmZMJ5fGXIdwunynMmxJx\n0zjIjcshT+XU6XVy3ucQXa6CiLqqkSKjswlFgbh2JOSG5Q1aj1yxsHq/sTdToxK9B0Du3KLZ+tQV\nCyFG3MZkvEaYaCIiIiIiugwJoxuUR/8B4e0L9Y0noK78CfLYIciDe6Eu+R7qKw9DtAiD8tQUCLO3\n3uE2WyKoBcTI26qHOqqOS3qNunkVZGoKxF1/a+To6GxiwBDI/Tsh807W6/UyP7d62Nxt92ocGf2Z\niO4DHDsEWZDX4HXJo8lAcSFEr/4aREYAE01ERERERJct4e4BZfxjUB5+EcjLgfr9p1CXzgPKS6H8\n410o4x6CMHL+H72drrEkVyy66LLy4F7IRd9UJxFNTWxqehcnvHyqezUtnVev16sLvoAYfBNEYIjG\nkdGfCZMnRNwgyPhVDV6X+st8iOG3QhgMGkRGAGedIyIiIiK67IkOURAdovQOg85DKAYok56B+q+X\noHp6nbfgsEzaA3XO+1Ae+QdEWKSToyQAEMPGQH3lEcjsDIiwiEt+nZoQD2Qch7j/6UaMjs4mrhkO\n9aOpkKPurHeSSB7cC5zKhtB4Brvmjj2aiIiIiIiIGpkIagHlubchVy6COu9zyLKSmt9JSwXU+XOg\nfvEBlEdfgujcTcdImzdh9oYYfgvU+Z9f8gx0sigfcu5/oUx6BsLDo5EjpNNERFsgKATYl1Cv10sp\noS76BmLMePb81Bhbk4iIiIiIyAlESCiUl9+F/GUe1FceAVq2AgwG4MTvEL36QZnyHwgfX73DbPbE\nkJshd/8GuW4ZxOAbL7isrLJC/XQ6xPWjINp2dFKEdJoyZDTUZT9Aie5T50LecscmQHVAxFzdSNE1\nX0w0EREREREROYnwDYC451HI0XcDJzOBqiqgXWfWY3IhwmisHur4zguQ7TqfN4EkHQ6on78HERIK\nccMdTo6SAAC9+gPLFgCJ24GefS/5ZbK8FHLBF1AeexlC4UAvrbFFiYiIiIiInEz4+EF0uBLiymgm\nmVyQaNkKysQnof57KuShfef8XpYUQv3gdcDhgLjv70xW6EQoCpQx46Eu+e6SZ3UEALngC4jeAyDa\ndW7E6Jov9mgiIiIiIiIi+hNxVRyUh1+A+t9/QURFQ8QNAtzcIA/thYxfA3HNCIibxkEonK1MVz1i\ngFWLIFf/DDH8losurm5bD5mSBOX1D50QXPPEtCsRERERERHRXxCdu0N561PgirZQ1/0C9dcFgMMB\n5fl/Qrn5HiaZXIAQAsr9kyFXLoI8fuyCy8rjxyDnz6keMmcyOynC5oc9moiIiIiIiIjOQ5i9IIbf\nCgy/Ve9Q6DxEcEuIcQ9B/fQdOF6dAXidW1RfHjsEddY/oYx/FCKijfODbEaYaCIiIiIiIiKiy5oS\nNwhqRRnKpjwJce8TQNdeEIoCWWWF3LQCctkCKPc/BdEjVu9QmzwmmoiIiIiIiIjosqdcewNMEW1Q\n/t1/ge8+Bbx9gfyTQIeuUJ57GyK8td4hNgtMNBERERERERFRk+DWsw+U9lFA5nHAVgX4BUIEBusd\nVrPCRBMRERERERERNRlCCIB1mHTDWeeIiIiIiIiIiEgTTDQREREREREREZEmmGgiIiIiIiIiIiJN\nMNHUQDab3hGcn80GVFbqHcUZhw4JqKreUZyRlSX1DoGIiIiIiIioSWGiqQEsFuCGG0LwwQfesNur\n/++TT7x0TaZUVAD//rcnKiuBjAwFL7zgA6lzPqW0tLqtFi40YPp016k//+mnDnz3nUPvMGoUFqrY\nscOudxi1SL3fPERERERERHRZYaKpAdasMSE52Q3vveeLW24JRlqaAZ984o2PPvLWLaa33/bGO+94\nY+TIACxb5oGFC0347DNP3eIBgDfeMGLIEHfExyv4z3+MmDfPoGs8APD223bs3i3xj384sGqV/t2s\nVFUiJUXFhAnlSEx0nWTTjBklyM52nXiKihyw25n8IiIiIiIiclVNJtG0dp2H07d5002V+PrrfAQH\nO7B7tzuGDg1Bfr4BM2b4YJ0O8QDAqFFWREY6kJJixLRp1Qmvt97ywoYNbrrEU1YGJCQoSEtTsG9f\n9dvtxReN2LJFv7defLyKWbNU7NkjoarAo4/akZCgb7JpyRIbxo4tR1kZcM89FUhK0r+n1fz55fj5\n5wrcemsu0tNdI9m0c2cFxo9PR1GR/u1z2po1xVBVJr+IiIiIiIiAJpRoevLpAGRkOL+nzJAhVqxd\newqDB1eioqK6OaUUeOKJABw/7vx4+ve3YdWqQnTufCYxoKoCjz3mi9RU58fj7Q1Mn26Hh8eZG3G7\nXeChh9xw9KhwejwAEBAA+Pmd+bmyEpg40Y4jR/RLFlgsqBlyWVQkMW5cOVJS9E2m/PxzBY4dsyM9\n3YFbbsnFkSP6FiQrKnLgoYcysHlzOW666XccOWLRNR4A2L+/Ai++eBx33JGCjAyr3uEAAFasOIXp\n01NRUOAaBeSklDh6tMwlk3GuNjT05En939Nn27IlX+8QiIiIiOgy1GQSTUVFCh55PABVVc7drsMB\nrFnjgaSk2j2GiosVPPhgICwW5yZTTp0SGD/eD4cP166FVFys4P77fVFa6tx4EhIEnn/eCKu19naL\niwXuu88NBQVODQdZWRLvvOM4p0h6URFw9902XQqEp6Y68NlntZM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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "@interact\n", "def render(field=RadioButtons(options=dict(vectors=vectors, streamlines=streamlines),\n", " selected_label=\"vectors\"),\n", " v0=(0.9,1.105,0.005), k1=(0.9,1.105,0.005), k2=(0.9,1.105,0.005), \n", " S0= (0.0, 2.005, 0.005), P0=(0.058,2.063,0.005), \n", " tmax=30, tdelta=300):\n", " \n", " S, P = solve(v0,k1,k2,S0,P0,tmax,tdelta)\n", " t = linspace(0,tmax,tdelta)\n", " \n", " figure(figsize=(20,10))\n", "\n", " ax1 = subplot('121')\n", " ax1.set_title('Phase Plot')\n", " ax1.set_xlabel(\"S\")\n", " ax1.set_ylabel(\"P\")\n", " xlim(Smin,Smax)\n", " ylim(Pmin,Pmax)\n", " \n", " plot(S, P, color=\"black\")\n", " field(v0,k1,k2)\n", " \n", " ax2 = subplot('122')\n", " ax2.set_title('Time Plot')\n", " ax2.set_xlabel(\"t\")\n", " ax2.set_ylabel(\"S, P\")\n", " xlim(0,tmax)\n", " ylim(min(Smin,Pmin),max(Smax,Pmax))\n", " \n", " plot(t,S,label=\"S\")\n", " plot(t,P,label=\"P\")\n", " legend()\n", " \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Further Reading\n", "\n", "### John Baez on Azimuth\n", "* https://johncarlosbaez.wordpress.com/2016/01/08/glycolysis/\n", "* https://johncarlosbaez.wordpress.com/2016/01/18/glycolysis-part-2/\n", "\n", "### Alan Rendall\n", "* https://alanrendall.wordpress.com/2012/01/21/albert-goldbeter-and-glycolytic-oscillations/\n", "* https://alanrendall.wordpress.com/2014/05/14/the-higgins-selkov-oscillator/\n", "\n", "### Original Selkov paper\n", "* http://www.medicine.mcgill.ca/physio/mackeylab/courses_mackey/pdf_files/selkov-68.pdf\n", "\n", "### An implementation by Mike Martin\n", "* http://math.jccc.edu:8180/webMathematica/JSP/mmartin/higginsselkov.jsp" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.11" } }, "nbformat": 4, "nbformat_minor": 0 }