{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "#Bayesian Analysis of Epidemics - Using Zombies to Teach Dynamical Modeling\n", "\n", "Pyndamics provides a way to describe a dynamical system in terms of the differential equations, or the stock-flow formalism. It is a wrapper around the Scipy odeint function, with further functionality for time plots, phase plots, and vector fields. The MCMC component of this package uses pymc (version 2 right now): http://pymc-devs.github.io/pymc/.\n", "Page for this package: https://code.google.com/p/pyndamics/" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "from pyndamics import Simulation\n", "from pyndamics.mcmc import MCMCModel" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Simulations without data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Basic SIR Model" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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UlABDhoiFp/v313zcZBK/IuO+7Zri9wuSw3FBamIBT7LMZiAjQ9QHANCiBbPwRC5TWQmM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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sim=Simulation()\n", "sim.add(\"S'=-beta*S*I\",1,plot=1)\n", "sim.add(\"I'=beta*S*I-zeta*I\",.001,plot=1)\n", "sim.add(\"R'=zeta*I\",0,plot=1) \n", "sim.params(beta=5,zeta=1)\n", "sim.run(0,10) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Basic SEIR Model" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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ydVLK1bQXw0i/Umlc8It65g79gvqO/YLEOLpflDU3Y/DRo5h4+rRo4O8JIGfq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\nx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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sim=Simulation()\n", "sim.add(\"S'=-beta*S*I\",1,plot=1)\n", "sim.add(\"E'=beta*S*I-zeta*E\",0,plot=1)\n", "sim.add(\"I'=zeta*E-alpha*I\",.001,plot=1) \n", "sim.add(\"R'=alpha*I\",0,plot=1) \n", "sim.params(alpha=.3,beta=10,zeta=.5)\n", "sim.run(0,10) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###SZR Model from Munz et al. (2009)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that no matter what the parameters are changed to, Z (zombies) always win." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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zWTUHAABnI5ZTCWI5QO3deae0fr2x3bevtGIFuXsAAK5E5t4FaO6B2ktPl5o1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\nD6d+cOiFrERo4Cg09y5Acw8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dOT7AcshKep7i9e5tNiktzZjFdzSr1sWF/Atq/25702x9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\nLnXtotyu8PEBVq6ULt4dNEj68vbu+fcFOC/IOM4LMoaZezNkZmYCAOL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wA+6//34cPnwY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\nLO6JiIiIiJzE/wMKrfY9/opJBwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sim=Simulation()\n", "sim.add(\"S'=Pi-beta*S*Z-delta*S\",500,plot=1) #S (Susceptible)\n", "sim.add(\"Z'=beta*S*Z+zeta*R-alpha*S*Z\",.002,plot=1) #Z (Zombie)\n", "sim.add(\"R'=delta*S+alpha*S*Z-zeta*R\",1,plot=False) #R (Removed)\n", "sim.params(alpha=.005,beta=.0095,zeta=.05, delta=.01,Pi=0) #parameters changed to match the Munz et al. (2009) figures\n", "sim.run(0,10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Simulations with data (MCMC parameter estimations and joint distributions)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###SEZR Model based on dynamics observed in 'Night of the Living Dead'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Movie \"data\" from Night of the Living Dead" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "t=array([0,1,1.5,3,4.5,5,5.75,5.9,10])\n", "zombies=array([1,1,3,8,10,20,28,30,40])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Simulation using data (we've plugged in the resulting estimated parameters)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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SNGXKlMue19Gnvn379hozZowaN26sdevWqXXr1vr666911VVX6dAhZ23Rm2++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\nRERERER27v8DHvfKcnsmtXkAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sim=Simulation()\n", "sim.add(\"S'=-beta*S*Z-delta*S\",178.5,plot=1)\n", "sim.add(\"E'=beta*S*Z-zeta*E\",0,plot=False)\n", "sim.add(\"Z'=zeta*E-alpha*S*Z\",1,plot=1) \n", "sim.add(\"R'=alpha*S*Z+delta*S\",0,plot=False) \n", "sim.params(alpha=.0342,beta=.0445,zeta=4.63, delta=0.0001)\n", "sim.add_data(t=t,Z=zombies,plot=1)\n", "sim.run(0,10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "MCMC parameter estimation for the initial susceptible (S) population" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[****************100%******************] 100000 of 100000 complete\n", "Time taken: 17 m, 59.59 s\n" ] }, { "data": { "image/png": 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+pXe8t7c3zZo1o3v37pXmN3z4cFq3bs3UqVOxsbFBpVJRWlrK5MmT9frsu7q6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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model=MCMCModel(sim,{'initial_S':[50,500]}) \n", "model.fit(iter=100000)\n", "model.plot_distributions()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "MCMC parameter estimation for alpha (rate of zombies being permanently removed), beta (rate of susceptibles becoming infected), zeta (the rate of infected into becoming zombies), and delta (suicide rate among susceptibles)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[****************100%******************] 100000 of 100000 complete\n", "Time taken: 1 h, 53 m, 40.28 s\n" ] }, { "data": { "image/png": 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8x5w5D1JY2Alz8V+h97fwywTM098DtB1nwZYYP/Pe+zCsuiFjGGs+yIEbbYdH\nz9RerlNTquPfpgPF5dkAzF6wlvS+Veo1udvaEx+/lVsjx/He/qUATHx+Dn0zR5EWtVu97vxynZiY\nKF6rLOEve94GwOCbzsKF0Q7Pfb41a7bw4BsLOR3gBSn3wvEYpx12hRBCCCFcjYzktzIB4W0djntf\n/a7DcpWNZbG4Q/dttgQfIPx7AFJTizGnzoXxN8OYOXD3X2ut+Y+LSyTH10drKB5P1qHn1cOTRdpI\nfq7dEpo1K+sEttUm36aX/UHd9AogZ9u7LF68nq7ntJ1x09sWk5j4IsfOaL9wzk/yAe66bRzu2GKk\nuFsZedOVTtfUjNxfdesj3P7tXZyO+hoGfgJ33QPu51xisq7UQupHYqkviae+JJ76knjqR2Lp+iTJ\nb2UOnjI7HI+9c+AFjTibTFbocERr8E+rrmE3QeffwM82aZXgXWCscKr5t1jcIVAbrSdzKOT3gOrf\nDLnWdCxWCwAFFdpIfs3KOh3sVthhxKvgVr1Cz8kRUNiNsjI3tq3IhcrqP0Z13gvtkqj0KVVvqy3J\nNxgM+LtpdfmnS047nFfLlEr82D10GZVd7cqfTEXQ3rbm/+U4WVcIIYQQvx+S5Lcyh04lORybs9Mv\nqJ/Y2LG07f6NQ1vnq6bRo4c3dNvueLFPllPNv8lkBf+TWsPZdKj0oE2pn+3YoJCSb6vXL6rURvJr\nynU6+dkl+cG7tNe/TgFscwwqz3lDyo3auZhHwaP2NfLtdWhrl+QXOyb5cXGJmHMfgJv+qf0Vw+Hm\nI+r7X0pSC6kfiaW+JJ76knjqS+KpH4ml65Mkv5VJLnBM8k/mZ9Rxpaa2iaUxMVF4dC1xuG7UPT68\n8MLf8Or9jkN718g5TpNXH3r8evDMsx1YPaAsgIiI2YT4aktYJuclU1pRipUyANzwwLuNt63PgA44\nKekAh+5SJ8uaTFbYMlc7H/G9+vL8NfLtdfKpeyTfYnGHgSu0hqyecKCPdtzhSKMm6wohhBBCXEoy\n8bYVqaisIKfihEPb6dL6k/z4+K1MeyKelIgy8FJg/SuYzS9SVllGocExAc4gm5iYKNx35jq0T5p2\nhVNJUL/rQmGP7XWbc96Mid7EtGnj+KQoG/NR2wlzrpn+QdrOt77GDhgMBuC8kfxqXc/0ov+NC5g2\nTZtjYJ4ej/nwHdBntcO1tZXq1OgW0AmqP9r5I/kepgqI/Fxr+GEBeOyC/ocB6NDnCxbNeuuST7qV\nWkj9SCzdSiVBAAAgAElEQVT1JfHUl8RTXxJP/UgsXZ8k+a3IyYKTVOG4u2yeNRNFUdTk+XxxcYmk\ndOwI186yNeSHYv55Aa+9/xAMcixX2Zv9C1nFWRQasxzag3sH1vosNfp3H0zCf16w9fHDNjhqaz98\n2oxyMlG9rizPqv4VIeP4WYf+UAxsfeMjwgPD1aaaRPtfy/L4scoARu15k37NJL7b1lqT8ZD22kj+\nqSLHJH/s37uy/kj1vIYyfzh6G8FD11A9AwHfMI9LnuALIYQQQjREynVakaTcJKc2KxbOnjtby9U2\nFou7bSnMGuEbAMh3z3O6trDqNF8d+sqpPb3glFNbWmGa+jqsfXe1dq9nO61c54cDv/CvuI3qcVlu\nX6ZPX8f8+Uv54n27SbtA2/RwDv/kPL8gJiaKH75eypiA2xyf6cC96rr+5wv205L8k2cdk/z9xn3q\n66DsCKJvfIn/PHW31u+5o1QpVVxqUgupH4mlviSe+pJ46kviqR+JpeuTJL8VMeeZa21PL6x78q2b\nVwl0+1lr6PYzGKqw+J2p9frFO5Y4tSVnZzq1peRqI/m9O4eoryMCtST/+NljnCr5g3ZTaQfM5gUs\nWbKFrJTpDv2V/bCw3mUrKzf0gHIvrSE/tM6lLu1r8tPztSS/zFrGysNaqc6quXEkJLzAPX+6DR+D\nbY5ABedIK9B+wAghhBBCuCJJ8luRQ1nOI/kAGYV11+WPGN9OW54SwDOf7kOmENBTWyKyo1eQ+vpo\n7hHOdzLPeST/aJaW5IcFhqi1exF2I/nlXvkw2m7i7NleAFitntXLbVaXGOWHwvGb61+2sjgQNrxs\ne10YrK66U9s9nbydy3Xi47dyzcTxnFPyAQioCmZ4d22H3jDfSPX1kRznGDTHheyoK7WQ+pFY6kvi\nqS+Jp74knvqRWLo+SfJbkf0ZWpLv08ZXfZ1RVHeSn+HpPMp/x7RAzhq0Ep/xA+6t931PFdU2kq+N\ndnf3766+DmgbgJfBVsOvuFvBr/rZSjrAzqkAuLufg8JukPgqJN8IX34Kilu9y1aaTFbYEQtvpMKS\no2CxLdVZ2z1B3tqPlrNlZ9S18fdRrrYb9kWwdu0P6vGAYC3JP6xjkq+uy3/gT2xxqyBx14Q6y4yE\nEEIIIRpLkvxWJDlfK9e5PuR69XVaPctorj2S6NR2yuM0GWXH1OP7Bt7ndI2HQSuNOWtxHsnPKNZG\n8kP8Qxxq9wKqgpyu59v/QnEXIiJmM3XqSCIinoGfn4QPv4f06xpctjI2dqztnoJQKLfttFvXPfbl\nOvkVp21r42fOhCu+U9vztrzvUOozpLuW5O9Nt80cvpAR+PPFxSViPjEH7r0Vol6Cu+5p1I66Ugup\nH4mlviSe+pJ46kviqR+Jpeu74NV19uzZw7p169i7dy8pKSkUFBSgKAoBAQGEh4dz1VVXcdNNNzFw\n4EA9n1fUoUqpIsuiJfkje0SRYLYlrUlnak/yk/OSyapwLvFZY16NFdtutH7GzlzZ5Uo8DQFqKQvA\nyK7RrE/7GgwKRcoZKioraOPWBgBFUThbYTeS79edM9hq/OPjt5KfYgRtkRzcdkfQp81Gukb/oi6P\nefXVW1m8eA5lZbYRfPtlM2tTc64x9wS2DcSNNlRSgYUiSisU6LIHjNWj/plXQV64Q6lPnw52SX7G\nEeLjtxI7PYHksj/ZflRk5/DDD28SEbGK4GAfYmPHNmoVHovFHbrsBp/qORBd9oCbRXbUFUIIIUSz\nNCnJt1qtvP/++7zyyiucPXuW66+/nl69etG/f3/at29PVVUVubm55Obmsn79ep577jlCQkJ48skn\nmTRpUp3LOIrmyyjMUBNzH0MH+nXsp55Lza09yV+XpI3iD+0wmt05P1JFBeeqCtX2CL9IDAYD3YwR\nHK/Udp7trnTBzy2IwipbTXtWcZZalpNdmq0+i6chAF+Tr1q7FxeXSGnFnRD+oq2jnN5UfrebrmNe\nJiHhBbX/mJioJi9V2dh7DAYDfm5B5FXa4mLwKYAOh7ULTtt+mNqX+kTaJfnJhUeIi0skOdgbbry2\n+nO049yBqRzYO5EDByIwm59Rn6k+JpMVuu50bPTLaHBHXamF1I/EUl8ST31JPPUl8dSPxNL1NTrJ\nP3z4MBMnTqR///58/vnnDB48GKOx/mofq9XKzp07eeONN3j77bf55JNPiIiIqPcecWHsV9bp7t2T\nrn5d1ePMotpX11m1V0vyx1/5J4p/KuVI8Q6HawZ360N8/Fayf/OAAVr7uv8W4xXtp26Ydar4lJrk\n26+R38kU4tCfxeIO+++DwR/YGlZ+ARVeF33kup2pE3nVG4XdPr4/v329jKKak9l9q0t9xqnX9wjo\ngRseVFJOQdUpCpVSuD5O67BDLox6Hq7/F7zza3XJzZwGk/zY2LH8+PmjlNq1BUfOZdq0h/X5oEII\nIYT4XWpUTf5PP/3EP/7xD7766iuWL1/OlVde2WCCD+Du7s7w4cNZuXIlH374IY8++ii//vprsx9a\nOLNfI/+KDhF09dWS/Jxy55H8b9dsZGPKWvW4bUYgN/Ya7nTdkG59iItLJP/Qk1pjZRsyfn2bsmxt\n86lMu8m39ktMdvOzJf41tXsmkxVye8IbJ+CNk7WOml8M9ivs9BwcTMe+2tr3V3b/lUWLHEt93Ixu\ndDX1Uo/Tem4Ek/qzQONeDkPfBmpf2ed8MTFRtAnLd2i7Z0qPBn8cSC2kfiSW+pJ46kviqS+Jp34k\nlq6vwUzdarXy/fff88033xASEtLQ5XXq3bs33377Ld9++23DF4smO3pGG8kf1L0nHb074oatRr5U\nyeNcxTn1fHz8Vh5d8D5VHraSGgq68epTR/DND3DqN7JDpG30/eT1UNHW1pg6EqyeeFi0FXxOFWmT\nb+1H8nt2dPzOqBNk0Uq3GppU2xK6+mtJ/uni02Sj/UhZ+dZLtSbZkR21kp3MTtqmWXw/GtYu1o77\nfQHGikb9cMkpzaHA6Lg6Ubsw78Z8BCGEEEKIOjVYruPu7s7cuXMbuqxR2rZty/PPP69LX0ITH7+V\n5Wu+hs6249J0K0aDkQC3LpyttCXcGUUZ9GzXE7DVxWe2DdM6MEeTbH6Jn7+YAUMd+87cV2AbfS/p\nBJ/+D8I2wq+PAOCDDzVbZqUVaIlqUo6W5PfqZEvya2r3mjJBtiWFtO8E1X/8OJR9mKIq2ydxpy2h\n/qG13nNlSCSJ1ZVPCra/YhisbehdHELq0f2UXd/VtiSodw6dR4xn2rSpDT7HLxm/OLUdP639JSQ+\nfitxcYlYLO6YTFZ1Qq/UQupHYqkviae+JJ76knjqR2Lp+i54dZ26JCUlsWDBAhRF4cEHH+T6669v\n+CZxwWrWWT/7h7Zq22dL0xjdfiudvLpxtqg6yS/UknyLxR262+1ym2zbOCon5RzG3n5U+VZPvLX4\n8Pys3Uy4rxtm8zOYzQsg2bZDbUTEbKJHXM3Sk7a15O13vbVPUkPs1sivcSGTavVmP5K/KXmL+rq7\nZ2/cjLWX2fTvFOnUdk//+/n4hWXEx2/lsa/3cbJ63f8et+U5fcbaEvbtbXc49ZmUfVK9fto/viXF\nfSikXQcFoY2e0Hu+un4sCCGEEKJ10n2d/J49e7J8+XKWL1/OggUL9O5enCcuLhGz+UVop5XrZOz/\nD4sXr6e7v1aXn16oTb71MFVAsLZSDplXA5CVlU9V6i1ae04kyeaX2L79FIsWRRMdPYeRI+cTHT2H\nRYvGET18pHqp/a63J/Id18gH16vds18rf1/2HvV136A+dd5jv8JOjWGGawBb0v3NC2+p7btKf6K4\nvFhdS79//0e46+6PSTx8C1syriVx/fNMn76Or7YnOPWZXmj7kRQXl0hKZDbcdQ9MjYTuP6lr6Dcl\nnuqGWz89zpbMq0nc+KxsuGXH1b6blzuJp74knvqSeOpHYun6mj2Sv2TJEpYtW0ZRURGKoqjLZBYU\nFBAeHt7A3aK5LBZ38EvXJoGW+UFpB8rK3OjbsStU5/bphdrk23seGcT6/dU72pb5Q24EERGz8fTs\nwtm0njDgM9u5M/1tl5S51Tr6/mumNonaftfbU6XOSb6rsZ94W1N6A3B1aN8670n5NduxIX0Yiz9K\noaf3VmJiohjUaRDd2/YlrewQFZQy/7NX+Pr5Kswld8GgKRCdAX7v2O7dPh1zwhu4lbwBJsduz1hs\nSX6ZxQ2G/M/W2KYM7rkN3tvW5JWIbBtuPQszetjW49/1EOb/vdOo1X+EEEIIcXlq1kj++++/z4IF\nC+jfvz/+/v6MHDmSqKgoIiMjiYiIYN26dc16uC+//JJp06Zxww034Ofnh9FoZMKECU3up0ePHhiN\nxlr/denSpVnP2Bx67JhqMlkdR+VPXQkYaNu2krD22kh+ylktyfeL1JJEn6JAoqPnsmjROIKDfeC3\nSXDiesiNgO1PAHWvfNPFR4tdza635ZXlFFRm2RoVA8G+wYDr1e7Zj+Tb69ep7pH8ZW/+CAXdtIZf\nHnPYndZgMPDQNePV0wt/+H+YB6XClCvhup22ev0a18RBn9VUmmwTor0MgbjhAdgmSpeUl9jW7/fM\n0+7xyoX7ruE380Fefvn7Rn9fLBZ36PybtuFWn1WAIhtuVXO17+blTuKpL4mnviSe+pFYur5mjeSv\nXr2aPXv20LlzZ55++mlefvll9dy+fftYsWIFsbGxF9z/iy++yL59+/D19aVbt24cOXLkgjfUCggI\nYMaMGU7tPj4+F/x8zaHumFp5E+T3gPywC6q3jo0dy873nkZdhPHUVeoa74V2SWVytvZ6R5r2o+DB\nW+7mjVu0TajM5pcxL/9BPT5/vXh7nXw6gWJw2PU2ozADDLaR8UD3YHUXXFdjP5Jvr0+HupN8i8Ud\ndj8Eo+dB1iA4+BfAcanMrrnaPhCV3bKh2yeOnVTHC4MCt09Smwe2H4Y5/xjZ1hQA0grTGDu+B1uO\nnfcQAYUUxCSRuOxTzOZ5QCM33PLVyqnwOgu+mRd92VIhhBBCXDzNSvL79OlD5862JV0MBgOZmZkE\nB9tGbgcOHMjq1aub9XALFy6ke/fuREREsGXLFkaPHn3BfQUEBOi2SpAebDum+sCNY8DiC28ebPQG\nSvZiYqLotMdKfnW+NrBDMi/FziAmJoofTmjJelqBluRvTdKS/GtDrnLoCxq/8o270d1h19vTJadJ\nK9Qm3Xb21Cbdbt682aV+9bf3ao8BIwra+vgGxY0r2l9R5z0mkxUSX7T9taOoC1TZfsDYJ8uf/7/9\n0G0EhGxzvPlQFPzaFYqfhilDwFjpsM7+6F7DOHewjOyC6iS/IA3/iDZQneQbc/ypCiwBNyt0+Q2C\nFjVpw63dby4gx66t8+CZTJv2eL33/V642nfzcifx1JfEU18ST/1ILF1fs8p1TCYTGRkZnD59mlGj\nRjF79myH82lpaXXc2TijRo1Sd8hVFKWBqy8vFos7hH9vOzAVQd8vgcZtoGRPURQyqpLV468W/1tN\n+ux3vU06fYjo6GdZs2YLB85qSf5VwVqSD7ZEPyHhBTZvnk9CwgsNJpAdTMHq68yiTIc18kMDXbMe\nH8BoMOJr7OjQ1tkUgYebR533qGv8F4SoCf75a/xbLO7wy6PaTac7wvsb4YstkDwFz6IXCUzq79R3\nmzNe9Gin/Sg6WXCSXWmH1OPQ/KvhwD3aDdV/pWnshlsjbwtyaIueECj1+EIIIUQr1qyRfG9vbwYM\nGEBQUBCHDh1ixowZxMTEEBMTw969e0lKSmq4k4ukrKyMFStWcPLkSby9vRk0aBBRUVGN2rm3JZhM\nVjAVaA0R62H7E00uoThZcJJixTZG62nwJyJQKxfZ+6O24o7Vs4TE9c9xJGs6JX8+W+v1FyLYN5jk\nc7bVaTKLMh1W1undSUvyXfHXfjuPThSWnVaPI9vXPekWGveXDpPJCvvvhQpvMFTB0QCo2khg4PsM\nGxbCtGmPU2Qt5N7td6O0LVPv++DlLK56TPsheyI/jd/SD6vHARXtIM9uInv3tnCs8TsFG/3boG5q\nAOR51LJb7++UK343L2cST31JPPUl8dSPxNL1NSvJnz59OhUVFQQFBWE0Gvn000+57bbb+O677/D0\n9GTt2rV6PWezGAwGsrKymDhxokN7WFgYy5cvJyrq4o9oxsaO5fsNb2rFIqFbCL/i/5g27dYm9WO/\nwk3fwKsc5iy8vWQLDG5vq8E2VoLPaU5WjAbetF0fcNUFz3GoERLYRU0eTxWdYuMubd33hC/2Ec9W\nlx0x7ujdiVQtz2ZoaN31+DUaWuM/NnYsZvOzmI9oy8dGRHzPokUPqPdFRz+Lkv9vuKV6vkpeGCcO\nLsRrxy1QnccfO52GuVAbyX/8L3fw9P9bgbq+j/+JeudLnC8tz3FX3T2n9jbqPiGEEEJcnpqV5JtM\nJp555hn1eNCgQZjNZg4ePEjXrl3p2LFjPXdfPJMnTyYqKop+/frh6+uL2WxmyZIlvPPOO9x88838\n/PPPDBw48KI+U0xMFB47FdQc06OUB5/rWm8CWetmSu5a6U1UT8ftai0Wd9sqOV7Vy2X2/wy8tMrs\nG3o6lupciPCOwXDU9nrTru38dOAgVA/gH935KNO32VZY8vaucrlf/V39OvHLWe14QOeGk/yGNGa0\n32Jxh1+n2HYPDv8eNtsm0LoVB6jX7M3aq851cKctk26/m9OWLJ45Fg9AWxJZtOirRv+AOlV8yuE4\nvewIFqsFk7upjjt+P6SuVF8ST31JPPUl8dSPxNL1NSvJ37NnD0OGDHFomzVrFlarlWuvvZb77ruv\nWQ+nl/Mn3Pbr14+33noLHx8fXnvtNebPn8+qVasu6jMpikK5sdihLa/dmTqu1jY0Mmc/CoFmOHkD\nZvMc3CatV6+xn0QL1aUjv02CbjttDcNfhbO96rz+QnT115bRXH/4B8o62U3vLAjBfOp2Fi+ew1NP\n3djs99JbZWGFw/HZo+dgUPP7bWi032Sy2mr6P18NKIDtrym+irbS09HC3err7p6RuBnd+Gv0bTxz\nzLasqXtA01ZhqlnitIZiqORwzmEGdx7c6D6EEEIIcfloVkF6bavVLFy4kNdff52wsDCeeOKJ5nTf\n4qZMmQLADz/80MCV+iutKKUKx3rqbw98X+f1i+LWYQ4IhdgImDwKbpyN2fwiSaUH1GuGBjuO5MfG\njiW8IBUKqyfg+mZBD21t9fMn3V6ImnXwAfLbpWgrxpztaVtmEtvkUFf7tR8fv5VtiY6bW8XNPX5R\ndoFVJ/ACNQl+RMRsYu//o3qN/QZd/ap34e3u3922BCdQ3P0s5ZXljXq/8spyipVsp/Z9p/ddyOO3\nOq723bzcSTz1JfHUl8RTPxJL19fsHW9r4+HhwYgRI3j33XdbonvddOjQAYCSkpJaz0+aNIkePXoA\ntiU4Bw8erH6pa7ZzvtDjtevXQgoQVv1mKXCUX8g7l0egZ6B6fUmJkTeWxLOpbAX0z9T+i3V5FYLb\nUWWyFfyYUn048dsJwkeHq+/n7Q1xb8Twjy/2cqRmM6zq9/NI9SZtbxo9R/ds1ucJ7hWsPr/af5Ub\nfPoEKD8Ao2jbtrLZ8dL7eP78ZeTmDYOrNtqe+0BHUo7GsHjxemJiolr0/WNioti3bw+rV0/AyyuC\ntm0rGTmyE538vPHAm3JKHOJ5dY++6v2B7sHkVWZAqsKXa7/k3tvubfD9ThefdvzvA5ACq9euYeKg\niS0SXzmWYzmWYzmWYzmu+7jmdWpqKi3FoDRhbcotW7awefNmDAYDiqLwySefMH78eKfrrFYr+/bt\no6ioiA0bNujyoJs3b2bMmDHcd999fPjhh7r0uW7dOm6++Wb69u3LgQMHHM7VfMaWcij7EP2W9nNq\n//LuL7mz751A9YZZT8STPGojdP3V6VpKOoC3rTzm6vZ/YOfU9c7XAOcqztH5X2FqjTeAX04PPhn3\nQbMnxX6w+ism7bvLsXHj87B1DmAboV60aJzL1eSPGjWfLclj4YERtoYjf4TPvmHkyPls3jz/kj1X\n15f7kFl+xKHN/jvR7/URHCr6CVJg47yNjA5reO+InRk7uebda5zar273B3ZOq/0783uyefNml/pu\nXu4knvqSeOpL4qkfiaW+WiLvbNJIfv/+/bFaraxcuZLly5dTUVHB/Pnzna7z9PRk+PDhLFu2TK/n\nbJDVaiUpKQkPDw/Cw8PV9iNHjtC9e3e8vb0drk9NTWXq1KkAl2TuQH5Zfq3t3x5cryZ0cXGJJPv0\nhq7/1i44eiv0XmN77a3Vv488b9KtPc82ntzZ+U6WZy5V2wqP3s3072yTYpuT6K94exdcZ1B3ueXk\nAPixjMDA+6uXjBznMDLuKkwmK6RdB9unQ+ffYJNt199LvQtsV9/uZJ51TPL7dtSW9gxvF2pL8oHU\n/NRG9ZlZlKm+DvHuxckS2w5bR/Jt5Tq1Teh21RWRhBBCCNE4TUry27dvz4033siNN97IqFGj+Pjj\nj/nf//7XUs/G119/zddffw1AVlYWAD/99BOTJk0CoGPHjrz66qsApKen07dvX0JDQ0lJSVH7+Oyz\nz3jttdcYOXIkISEh6uo68fHxWCwWYmJi+Mc//tFin6EuBWXaGvne7n6UWAsB+HTnF2S924HY2LG2\nVVi62+2c+vPdsK4X7ncfwtov2aG/Njle9b7fiVXeMEAb+SfzKszmvzZ5h93zVVg84NSVELwLyvxg\n1TdQFcbAgfNJSJivXudqv/bVpS4TFqptTVmSsqWEt+/usOKPEXd6tuupHkd2CWXNCSAMUvJONKrP\nU0XapNvrul5P1rEMyimhqOoMK77+mhnL3uRs3+Ow+wFInI/ZbJsv8HtJ9F3tu3m5k3jqS+KpL4mn\nfiSWru+Ca/LvvPPOZu9o25C9e/fy4Ycfqmu5GwwGUlJSSE62Jbg9evRQk/wa56/7PmbMGI4dO8ae\nPXvYtm0bJSUlBAYGEhUVxYQJEy7ZCkAFFi3JjzAOZF/5DvCooMInj8Rf/o55+n/x88uDvju1m45M\nBaLonZ7Ewd4nwd2qnvr41SxGBNa9Jn3lOS9IWAh/nmBbYeeYbT3+pu6wez6TyQqfrYYBn9r6zLcV\nfV/qEfGGNGapy0uhV6fucEw77mK6gjZubdTjnu17qK+PnGpckp9WoI3k9wzqSkTmAA4Xbwfg/xLn\ncXZY9QTcMXPh6B8xmxc0+8efEEIIIS4t44Xe2KZNG2bNmuXUfvz4cSZPnsykSZP48ccfm/Vw8+bN\no6qqisrKSod/VVVVVFVVqck+2BL+89sAoqKi+OSTTzh8+DB5eXmUl5dz+vRp1q1bd0mX+LQv18lO\nLYbUm7ST4esxmxdQ6V4MQdVzBaqMcOpKIiJm41HWDn76P+360vac3LeExYvrrq+27cQ6Hl4uhKUH\nbDuy0vxkPDZ2LBEd34Zt/wfZtrIS24j4TQ7XuVq5DtgS/YSEF9i8eT4JCS+4RFIbGtDd4bhvh77n\nnQ+1vUiBpJzGJfkp2dpIfle/LnQ2avtXnOp03go7w/8DNP/H3+XEFb+blzOJp74knvqSeOpHYun6\nLjjJr8sVV1zB8uXLWb58OQsWLGj4ht8p+3IdY7knJNslxRG2ZN0QbKxZYRFTYQeiR7/CokXj8PML\ngh+fgpzetpN7JgOGehMzddnGch+osv0Bp7ZkvKliYqJYtCia6Og5jBw5n+joOSxadOlHxC9XIf4h\nDsdJP2c5LOsZ6h+qvs4obuRIfp6W5GcezWP/ekvdF/f/DPzSGv3jLz5+K9HRzzJq1Hyio5+9KEuQ\nCiGEEKJhzV5Cc8mSJSxbtoyioiIURVHLZQoKChwmwApHOSXaSL6nwQPMdsl22EYwVHKunVYOdee1\nf+TjN2yTQ+PiEqHcF975FfxPQrZtHfX6ErOWLE9paPMnkNq9xjLvyXI4Ttn5ONO3aBOk1R8BYZBj\nPUllVSVuxvpH3TOLtXKd9auPk3PwWbgmUbug1BMKIqHLHnCz4hd9F9Puf7WWnhypG7QlPw9u5WD1\nvCzr+eW7qS+Jp74knvqSeOpHYun6mpXkv//++yxYsIAxY8Zw6NAhBg2ybX505swZcnJySEhI0OUh\nW6OcIm0k/8YbBlO19WOSC4PBLxM88+h69QN4XWGF6v2ORvUcpl5vmzT6DGbzgvNKZOqfNNqYZFxc\nWiv/ux+utWvI6YM56x61Rt7bwxsfQ0eKlWyqsHKq+BTd/Lqpl9e2Uo7DbrfFAXB6IFS0hTZlUOkO\nX7yET+Bqiv9ku6Toij28/MZa4uIS611pJy4uEfOpGTA9HNrmw4oEqecXQgghXESzkvzVq1ezZ88e\nOnfuzNNPP83LL7+sntu3bx8rVqwgNja22Q/ZGuUUayP51181lNsWhfDA/9Zw2s826jrq721Ym63N\nLxjWVUvyXXXSaH1kPd3GqTznZdstuH0SlPmrJVn2pVhdPEM5fjAbwuBE/gk1yVdH1k88C4obVHqQ\nlPw0hePPqGVfvoa2YPGHb/8LAz+CndMg9RaG985hj5JGtiEFxaOCbZYA+PGpekfmLRZ36P85BJy0\nNVy1DNKvu+zq+eW7qS+Jp74knvqSeOpHYun6mlWT36dPHzp37gzYVrXJzNTKAgYOHEheXl7znq4V\nyyvVRvL9Tf7ExETxn8e0ybQ/Fv5IXmU6AG3wol+Q48ZZrjhpVDSfyWSFrz+A3ybCl5+B1RNwLMXq\nEajV5Z8o0Ory4+ISMedNgql9YLYPdN9G8ump6h4GPoaOzJh2s21uxv574ePv4PgtRETMJnbaWIKS\n7L5j1ywCj6LqkfnaJ3SbTFYI0JarxS/N6VmFEEIIcWk0K8k3mUxkZGRw+vRpRo0axezZsx3Ot/QS\nm5ezPLvVdQLaBgDwh/A/qG0nSrUNkfr4X4W7sdnTJy4p+bXfOLGxY4nwiLcl+km28qvzJ0j37hwK\ntpVKSbVbK7/M4ga3TIOAE+BWATe8BL5aqU4HU5d6J0q3yxgMhcG2i32zYNwMW791jMzHxo7Fs0u8\n1rLfcNwAACAASURBVOCXoctk7otNvpv6knjqS+KpL4mnfiSWrq9ZmaO3tzcDBgwgKCiIQ4cOMWPG\nDGJiYoiJiWHv3r0kJSXp9ZytTlG53Uh+W38AOvt0JrRtf06UHXC4dqRdPb5o3RpTinVFR20k/3BW\nqvq6qNNR6LlO66zHZoeR9i4+wep71PaXH08PBdb/G+6sXlr2yvcg6eY6R+ZjYqII+EXhXPWx0T9Z\nVlYSQgghXESzRvKnT5/Ok08+yZNPPonRaOTTTz9l//79TJ06lRUrVvDcc8/p9ZytTrHVeSQf4Na+\nzqOgN4Rdc1GeqSXJerqN11ApVo+AHlCduydl20byKyorONnnZ8eOPErxHjZPPewe2KXe942NHUtE\n6SHYd6/WeNt4UnMz61wes8CYo76u8rAw8qYrG/EJXYt8N/Ul8dSXxFNfEk/9SCxdX7NG8k0mE888\n84x6PGjQIJKSkjh48CBdu3YlKCio2Q/YWpVWOtbk14iJvIk3d7/hcG3xUQUcS/LF75j9WvknC08Q\nH7+VmV+8yNnwk07XWsKSwFaST1jH+pP8mh8Try/9H1uKfaj0KQbPco72SeXoR8swm+c4XFdkKaJU\nyXXoI6Mwg94del/wZxNCCCGEPnTfDMvDw4MhQ4ZIgl8Pa5UVC8XVRwZ8Tb7qudLDRrDa1UAXB/Hi\n//122W8yJLV7+gkN0GryT5el8PhTX3Ksyy/qec/MHuprq1Khvu7uH9xg3zExUWyIf5UrU+6w7bIM\nEL5R3YXZfhKu/aTfGhlFGU38NJeefDf1JfHUl8RTXxJP/UgsXZ/uSb69d999tyW7v2wVWgrV123x\nw2jQ/jO88+YPkHaDdnHGNSSbX6pzhRPx+xPQNoA2Vd4AVBotnLjlE/CsLv8625NzH+2CSufJsl18\n6x/Jt+eVEw6/TtEa+n0BOE7CTc1Pdbovo/DyS/KFEEKI1qjFkvyUlBRef/31lur+slZQppXqeLsF\nOJyzWNzh2G1aQ+oooO4VTi4XUrunn/j4rVTut6u08zpr+1/FAN8thnPt8MkNcbqvi0/jk3yTyQr7\n7tMaIr8GY4XDJNzakvz0yzDJl++mviSe+pJ46kviqR+JpetrdE1+aGhorUtiGgwGFEWp9Z6AgIBa\n23/v8u2Wz/Rp4+9wzmSywo+Pg28mGCrhl0cBWXtcaOLiEqmy9gXsJtoWd4JVH0GybeJ2l5IwjndM\ncbgv2Lfhcp0asbFjSZr+P5ILuoN/Gnjl0mX4BKZNe0y9pmbSr73k7MsvyRdCCCFao0Yn+e3bt+eO\nO+5g8ODBalthYSGffPIJf/vb3xyutVqtLF++nIkTJ+r3pK1IgcV+0q3jD6HY2LGYzc9jTvyP2mZb\ne3zcRXu+liC1e/qxWNyh4g7UJP94OHz9M5TY5sFERMxm2i3jiT200eG+zj6dG/0eNZNrH/16I2n+\nth/3ve4odljpx375zhrJOZdfki/fTX1JPPUl8dSXxFM/EkvX16SR/Ndeew03N61sZM6cOXz//ff4\n+Pg4XT9+/Hjee+89fZ6ylcl32AjLcSS/Meuki983k8kK26ZBWQCUdoCjgaAsJjDwJMOGhTBt2jhu\nueUGnpo/i1KjbfUbo8WT79ftaNL3KCYmis8HvsHw94YD8Gvxz1RUVtDGrQ0AKbmpTvdcjuU6Qggh\nRGvU6CR/9erVTm0Wi6XWBB+gS5culJeXX/iTtSLx8VuJi0vEYnHHZLLS794q9Vw7b+eSpro2K7qc\nbd68WX716yQ2diwHDjxI5u4ValtERCKLFj2gfm/i47diSO4KPW1JflV+BNOn2zbKasp365pu19DO\nrRu5lemUKLlsSt3E2IixAJw6l+p0/Zlzl1+SL99NfUk89SXx1JfEUz8SS9fXrHXyz507V+/54uLi\nes//HsTHbyX2ibUkW2Lg1FVQ4cWuNjfB1bbzHbz96+9AiPPExEQxdeoetmyp+689cXGJlGQ+DT2r\nN7YqCKleAnNOk5J8o8HIXwfcxVu/LQRgwr+eYvDJrTz8+A0UK7aNsIy4U4XV9jZVWVRWVeJm1P7i\nd/6P3NjYsa3uR6wQQgjhapqV5Ofm5rJ161aiopz/H/a+ffs4ccJ5Yt7vTVxcIslDkqBvFGReBct2\ncrb4BuB7ADr6/T6SfPm1r6+nn57O00/Xfd5icYfDd8Lxm6HTXvjpH8CFrdIUXnaF+vpMu5MkvjeP\nwzmPwx9tbR3ahFJqLaRYyUahktMlp9VJvvHxW5k+fR1m92ug/2ewcyrm6fFA0/6i0JLku6kviae+\nJJ76knjqR2Lp+pqV5M+ePZsRI0YwZswYRowYQbt27SgtLWXHjh2sWbOGhIQEvZ7zslVaoUBkdalT\n8C7wPwEmbeJtOy9ZgUjoz2SyQqUHfLwW25a3BuDCVmlKfC8D+ncFvwzbcp09NpNWdDuwDIDuPqHk\nluVSfC4bsK2VX5Pkx8UlYs79O0yNBDcrdP8J88IUFi+e6zJJvhBCCNEaNWud/H79+rF27Vr279/P\nrFmzeOCBB5g2bRpbt27lyy+/ZNiwYXo952XLGpAFRq0Gn/bHoa028dbf9PsYyZf1dPXVUDxjY8cS\nEfFM9ZEtwbet0nRTk9+r3NIGDt2lNfRbCQGp6mHPjj3o6ttVPbbf9dZicYfRc20JPkDACQhMcal9\nH+S7qS+Jp74knvqSeOpHYun6mjWS///Zu/O4qOr1geOfAXQAWUVRcANG3NfMUksgS0Yjr9reTVu0\n9VeA3W63W65l1r23TSCzRVvUyvbuNRIhFTG3NDX3bQAVlUVANlmEmd8fB2YYAUU54ADP+/WaV3O+\n58x3zjyNzHO+5znfAzBq1CgOHz7Mli1bOHnyJF27dmXUqFHY2TXqzXSbjRETvdmaWq2h/VGcPDdR\ndTWDh6OM5Av1qTlLk1ZbDvvvgRFRSkOfH6HMcsF9Xx8/2tg58FumspyWn2ZeV+Z5CgZ+Zd1h1y1y\n3wchhBCikTU4yQews7PjpptuUqOrFqfcqwxSLctdh3yOYzcXjlUO7rs7to6RfKndU1d94qnWLE3K\njbFiSc6vLNlpdxa7wR9RdX4qwNNPuSHeIWX5eK5lJL/wxv1Qan2zPNd+7xA+9d0G75da5LupLomn\nuiSe6pJ4qkdiafvqleRnZGRQUlJy2e0udffbqvUdO3bEycmp/nvYzG1L3WO13H1IB7KKsuC8siwj\n+cLWVR0oPPXfX0lzUxJ4o3OReb2fhx9lFZbpcg2Zp4iNTeKVT5eyd+AWLtauT4HU4wshhBCNrF5J\n/uuvv05+fr4qb3jXXXdxxx13qNJXc3A4d6/VsuHcUavl1lSTL0f96mnqeIaFBfHVwHcY/enoGut6\nePSg6IIl6d+Tup+IV+JIDkoxtzmdCKS42zHQmMjAQGFZIS5ta7/HRlOT76a6JJ7qkniqS+KpHoml\n7atXkh8VFdXY+9EiZRZlkm/MsGrLupCCVuNqXpaRfNFcjOo2Cg97X85VnDa32eGAr6sveSWWGaPS\n8o5TWvoX6PGG0lDhQPGPcTg+OoIStyxMGiPbT23nFv9bmvojCCGEEK2GXB3biPZm7K3RZqSCYlO1\n2XWkJl9chWsRTzuNHfcOuNuqzb7QhTWrN9PFzTK7TpljAQz9xLLRnimQG4BbXjdz06YTNct4rhX5\nbqpL4qkuiae6JJ7qkVjaPknyG9GeWpL86hzQ4ujg2ER7I0TD6ardGAvgQtZQIiPXsHntXhxQvsum\nNmUw8AvLRjsfA8C71NfcFH9wc+PvrBBCCNGKNTjJnzFjBvPnzyc9Pd2q/ZtvvmHr1q0N7b5Z25pi\nuei2jV2bGuudNK1jFB9kPl21Xat4/vrpGci3JOuc88NgWMB77/1KewfLaD5tK68sP9sLTo5Cp3uZ\nZyfdZ169M3PLJS/Sb0ry3VSXxFNdEk91STzVI7G0fQ1O8hcuXMi0adP4+OOPmT17NmVlyiwb99xz\nD5999llDu2/Wdp22jOSPDah5EyIXB6nHF81LjRtjZfcCoKTEns7tutTY3u9cN/T6OURFjeOJOx/E\nWdMegCJTDkeyjzTJPgshhBCtUYPnyTcajRw4cABHR0cOHz7MDTfcwF/+8hcyMzP5448/1NhHmxUb\nm0R0dDylpQ5oteVERISapwasMFaQUrTPvO2dfe/kl2O/WL3etW3rGcmX2j11Xat4arXlsPFl8Nmp\nNOyaBoCjYwXdPbqwx3L9LRqTHZveX4avq2Xk/zrvkfyWEQvAlrQt9O7Qu8n2vS7y3VSXxFNdEk91\nSTzVI7G0fQ1K8rOysrj99ttrJPP79u1j4MCBfPjhh1fd93fffceGDRvYvXs3f/75J4WFhTz44IMs\nX778ivtKS0tjzpw5xMXFkZOTg4+PD5MmTWLu3Ll4eFzdaHpsbBKRkWswdPKEzrth3XwMkUsAZbpB\nQ66BcpR7C7jb+TCy28gafbhrZSRfNC8REaEYDNEYPt1obtPpXiY8fBwfphyz2rZf2xutEnyA0D6W\nJP/F92L46uQxq4NjIYQQQqijQeU6ERERjB8/ngMHDpCXl4fRaMRoNFJQUMDIkSMZPnz4Vff92muv\nsWjRIvbs2UPXrl0B5WZaV8pgMDBs2DA+++wzRowYwd/+9jcCAgKIiopi5MiR5OTkXNX+RUfHYyie\nBKEvwKAv4P5JGFLmEROTAMCeDEs9fp/2AwnwDACT9f57OrWekXyp3VPXtYpnWFgQUVF69PrZBAfP\nQ6+fTVTUOAA2x5212vZsgg+xsUlWbfZn2pmfZ7YtIz7+NSIj19TYrinJd1NdEk91STzVJfFUj8TS\n9jVoJN/d3Z1XX321RruTkxMPP/wwX3zxBVOmTLmqvhcuXEi3bt3Q6XRs2LCBW265ujm1/+///o+s\nrCxiYmJ45plnzO3PP/887777LjNnzmTx4sWX7KO2spzSUgfous2yUec9MGIhJSX2AOyuVo8/wm8Q\njg6OeDl0J7viuLndq52M5IvmJywsqMbIu14/i+y0J2D4r0pDUQcyNn5FjHa+1bZrl52GG+zAzgje\n+8EpB4NhATExs2U0XwghhFBRg0bynZ2d61x344038ueff1513yEhIeh0OoCrnoXDYDCQkJCAv7+/\nVYIP8Morr+Ds7MyKFSs4f/58nX3ExiYRMWM18Zk6NuR3Iz7hVSIj15CfnwneF02RectcTO7ZxMYm\nsfiHleZmu7PKzDr+7tbTD3ZwbT0j+VK7py5bi2dpqQOk3gKllTd62/x3qGhrPuitUlHsDKevVxY0\nJvBfC1Bju6Zka7Fs7iSe6pJ4qkviqR6Jpe1rUJJfVFTE3r11zwV/NeU1alq/fj0AoaGhNda5uLhw\n0003UVRUdMmpPqOj40nWDoFJ02DiYzB4GQbDAqCMNl1jrTduU8y2Dt9z54y3yXEuMDd/+14msbFJ\nDPS1TvI7uspIvmgZtNpyON8Boo/Cx9tg0z8A5YLcGtsZ9JYGXXyt2wkhhBCiYRqU5D/33HPcfvvt\nrFixotbR9tzc3IZ032CHDx8GoFevXrWuDwxUku6jR4/W2UdpqQP0sFxkSKAyQ46rWxfwrvn5Sruf\noWzK/8D1jNJgtCdt1yJiYhIYcFGS79FK7nYLUrunNluLZ0REKDrdTCjqBKduADSVF+SOrbGdb3Gq\npUEXT4DupRrbxcYmodfPIiRkHnr9rEat2be1WDZ3Ek91STzVJfFUj8TS9jWoJr9Pnz689957PPDA\nA8yaNYsJEyZw/fXX4+rqyoYNG6iouLajc3l5ynx+7u61J9NV7efOnauzD622HDxSLA1dKuvw3XK4\nYKeU+diVOmHc8wgMr6W2/8+HoEJLSYk9vbwuTvJlJF+0DFX19DExsykpscfRsYLw8HE16uzDwoJ4\n31jOndu+xtimDDxO8I9/97fazjxzVfbjUNYOznfEYJhp9T5CCCGEuLQGz5M/ceJEtm3bxgsvvMD7\n779vHtEPDQ3l66+/bvAOXmsREaGsjf8A8+GKxwl69I8g5L4uJFXOGOhU4E3Rr2+AXyJ0PAjnveDA\nXbD/PkhRLhh2dKygl5f1GYV33lhF+6k9WkXiIrV76rLFeNZ2QW5tJk4YQ0j67aw7/RMAJV2sZ7iK\njo7H4O4PUwKUJP+b7xv14lxbjGVzJvFUl8RTXRJP9UgsbV+D73gLMHDgQOLi4sjIyGDLli0YDAbi\n4uLqHEFvKlXvXzWif7Gq9kvNlX/77aPBo9Cq7aGXfNB2s5QneZR2gFJ3+Gg7vPc5vPUY/PwhpIyh\netnCwc1pYLRcp7B767PXfPpAIa6Fu4ZYrpP5fne81bpc+3MwPly5MFdbCPdPAP8pbN16stFLd4QQ\nQoiWosEj+dV16NCBDh06qNllg/Tp0wew1OZfrKoWv66a/UceeYQOvh2o2FwKjkBnwB8udDzP2l+2\nQLqyPGlUCD/GTuH06cfg7ENAEm3b3oKvrxe9e/clPHwc7doZeeGFT2FkT/A6CinAOQOGPGWEsl07\nI2A5Mq6qdWspywsXLmTIkCE2sz/Nfbm5x9P9jJvyb8AftmasJ35tPG3t23Jz0M0c6P0jpCk3ksMf\naFMGo74j79d/Ex8ficEwkz17djFy5GBV9qd6XamtxKc5L0s8JZ62vCzxVG+5qs1W9qe5LVc9T01N\npbFoTJeZn7KiooLly5fzyCOPNPjNTCYTMTExREREXNHrEhMTGTNmDFOmTGHZsmX1fl1ycjI9e/bE\n39+fY8eOWc32U1BQgI+PDxqNhszMTJycnKxeq9FoMJlMbDm5hVGfjLJad6NXKOlFZzheosws9Nuj\nv3FubwUxMQnV6pHH1igtCAmZx4ZCX7j9WWWUf8VqQENw8DwSE+ddUUyam8TERPMXXDRcS4hn59d7\nknHBAMC6h9Zx/oA9Ed/NIdlvg7JBRRs4rwXXyjNpZe3gw52Q3Qu9fjZxcfNV2Y+WEEtbIvFUl8RT\nXRJP9Ugs1VWVd6rJ7nIb2Nvb4+bmxowZMygpKbnqN8rNzeWee+6hb9++V91HXcrLyzl06BDJyclW\n7QEBAYSGhpKSksKiRYus1s2dO5fz588zderUGgl+dSnnUmq07cnZRlrJIfPyAO8BhIUFERc3n8TE\necTFza+1dlirLYc/noA38mBFHKAcdLSG6QPlD4G6WkI8b+8dan5+98xIJs99heRum8xtDhv74Ljy\nFijwURraFsGwDwF159VvCbG0JRJPdUk81SXxVI/E0vbVq1znzjvvxMvLi+DgYB588EGmTp2Kp6dn\nvd7g9OnTREVFsXr1apYuXcrw4cPr9bqffvqJn35SLsxLT08HYPPmzeYzCh07duTNN98EIC0tjX79\n+tGjRw9SUqyT8vfff59Ro0YRERHB2rVr6dOnD9u2bSMxMZHevXuzYMGCS+5Hck7NJL/YZKnx97Lv\njns9p8KMiAjFYJhZOc++QqnXH1ev1wvRkvgWdzE/z+m9F3pXW3liFOUbknBv/1dKfl4MD0xS2itH\n+VvDgbEQQgjREPWuyQ8ODiYhIYE33njDXAIzatQoBg4ciIeHBx4eHhiNRnJycsjOzubAgQMkJSWR\nnp7Os88+y9atWy95h9yL/fnnnyxbtsxcYqPRaEhJSTGP1vv5+ZmT/Cq13XwrICCAHTt2MGfOHOLi\n4vjll1/w9fVlxowZzJ0797IXB+8/XTPJr66P14B6f6b6TjPYEslpPXW1hHhu+fIcDLcHu4sS9qIO\n8NPnYLKnc2cPXCuSSDVplAtxO+/Cv8/zhIdPVG0/WkIsbYnEU10ST3VJPNUjsbR9V3Th7fLly/ny\nyy8pKCjgwIEDtG/fni1btpCamkpeXh4ajQYPDw/8/f25+eabWbhwIaNHj0ar1V7xjs2dO5e5c+fW\na1s/Pz+MRmOd67t27conn3xyxfsAcDQr1fx8uO8NbD/9u9X6Ef4Dr6i/+k4zKERLV3G+HRwdD71/\nVhrOdYfdj8KOJ6FQKdHp2tWb8PCx3PPrlxR7pIOdkYdnd5J/Q0IIIcRl1DvJX7lyJeHh4Xh5eeHg\n4EBJSQm///4769evZ+jQoY25j9fUyQLLSP4DA+6vkeQP8a3/SH5rJkf76moJ8dRqy+Gnz2DASsgp\ngeSzYJpnXl9VyhYWFsTD5ffxwe4oAPI9c2rv8Cq1hFjaEomnuiSe6pJ4qkdiafsue+FtlYULF7Jy\n5UqysrIoLCxk8+bNjBs3jgcffPCa39m2sVQYKzhbfsK8fE//e2psM9D7ykbyhRCKiIhQdL7vwPZn\nwPA8mMbj5HQfAwbMQK+fTVSUpZQttFew+XWrD264VrsshBBCNBv1TvKLi4u59957lRfZ2TFixAhW\nrlzJHXfcwXfffddoO3gtpeWnYaQcADe7TnR164qH0XKxIEYNKduzrtHeNS/V54UVDdcS4hkWFkRU\nlB69fjbBwfPQ6xP49ttn2Lt3YY0Zqkb3GG1+fjh/B0VlRartR0uIpS2ReKpL4qkuiad6JJa2r97l\nOp06daq1ffbs2URGRnLfffeptlO2ovr0mV2c/YmNTaIsxQN0p5TG7D78/bn1tLFrKzXCQlyF+l6j\n0sG5A90dB3CiZB9GTTlb0rZwW8BttW4bG5tEdHQ8paUOaLXlRESEyr9PIYQQrU69k3x7+9rnpXZ1\ndcXBQdUb59qMlFxLkq/z8ic6Op7zeU+ALlJpzBiEwaDcsVaSiEuT2j11tcZ4jg0MZunefQCsPbaB\n0oNtayTzAJGRazAcn6XcWfpcD/bs+Rs+Pitxc/MmPz8NaIubm3e1A4CQOt9TDhiuXGv8bjYmiae6\nJJ7qkVjavnpn55eavaauA4Dm7li2Jcnv5+vPtlIH+HMqXL8Y2mXCViXZV/PGPEKI2ul7B7N0r3JT\nu5Vb/8e3y4wYTswEpxzI74rBMBM3t1wMKdHwSDB03wxGO9LTvUk/cR8UpIN9GpQ+BFvDoNQdg2Em\nQK2Je2xsknLAYHhNmb7TZHfJ7YUQQghbUu+a/E2bNvHiiy+yevVq8vPzG3OfbMaBanPkB3bwV2YD\nKfGERQfgrXRIGwnIjXnqQ2r31NUa4xnUw5JYp17Yh6GTBzzvA3/rBsMXYTAsIDW1CPp9qyT4AHZG\n8E2HEVEw9kO4Yw3c9SBEBkDnXRgMC3jllY9rfb/o6HgM+Q/CU0Nhhh947608c5dgtV1sbBJ6/SxC\nQuah188iNjapsULQLLTG72ZjkniqS+KpHoml7at3kn/+/HnefPNNwsLCaN++PUOGDOHZZ59l5cqV\ndSb9b731lmo7ei0crTaS7+/hr8wGopsJaMDYBqia5m/sNdpDIVqPHRsOY5/bXllwMELoP8Cx8m/P\n2BfBJR0TJXDzvy/fmXMOPBQCnR7nwIGsWpPzXPtz8PAY6PwnuJ+EG2MA6zN3VaP98Rv/xobTw4lf\n/xKRkWtafaIvhBDi2tOYTCZTfTYcPHgwX375JUlJSWzYsMF8N9sq3t7eBAcHExISQkhICH379iUk\nJKTZHulpNBo8XvXlnPE0AIYIAwGeAcTGJhETk1DtjrVj5dS9EE1Ar59FfNssuP6j2jfY8QS6C8cx\njFyjLJc5w/uPQsfbwecP0P4C2sHQ/2twOqdsU9QBPkuErP7odDOJitID8MZHK9nc61NMLiWW/pPH\nwLK16PWziYubb9mnhFfg6cHgvR8OT4Cv/me1jRBCCHE5Go2Geqbk9Vbvmvz+/fubH08//TQAR48e\ntUr6v/32W7799lsAOnbs2OzLeqoSfI3Jjm5u3QC5Y60Q10ppqQOkTrAk+aVtYd/DMKyy3Oa6jyl0\n6A6Vlw/5nBlIZ/8Szpz5lfSj7wDBwBrYmQAP3QyOpdDuLDx0GyxWSnFmz36MnHInjt+2Cqon+AAe\nqeYbdFntk2eKkuADBP4C9mVynY4QQohrrt7lOl9++WWNtsDAQKZPn86yZctITU0lJSWFzz//nGnT\npuHi4kJpaamqO3uttHfoRhv7Ntd6N5q15npGx1a1xnhqteVwJAxWfQBrX4Por2GVN/apPsoGdiYy\njMcB0Jjs2fruN+zcuYQlSyZVzsW/jqFDM7iu86e0+/FWKHVVXnc2HW5SSnxSUws53jsL3NOUdRe0\nlh1wT+WdhdZn7rTacmh/zLKNXQV4Jrfq63Ra43ezMUk81SXxVI/E0vbVO8mvjx49ejB16lSWLFmC\nwWCgb9++anZ/zZRlIjW2QlxjyjUxs+CPJ2HjTCiahE5n5LEej8BFZzidj/Vj72+pgHL2LS5uPomJ\n89i5cwl//LGIm3oMhf9+YnnBDe+ByxnKOxXAgK8t7V//BEUdlef2Rq4LCqyxTx16vWvV1rn/bLlO\nRwghxDWnapJ/sS5dulx+o2ag4MQYuZiugWQ+XXW1xnjWvEPubKKixpGyxQ52TbPatih+ZY1ZcKqL\niAgloHQnnL4O/IE2JbiG3UHFLbstGx24C46Ng3N+5qbUc6k19ul6vatV2/gpHVp1SV9r/G42Jomn\nuiSe6pFY2r5GvYvV559/3pjdN51cfwyG2XLTKyGusdquiXnzzXWwZT70+hlcMmH3w5DV75J18VV9\nzFmewk7fnQAU9NkJmsoNjPawdgEATqUFFFc2p55L5ebuN1v1VdCm2Gq51LX8Kj+dEEIIoZ5GHcn3\n8fFpzO6bzjl/QG561RBSu6cuiaeFVlsOBb7w4U5YHgf/WwJc/v4VYWFB7PjqSzod91MaNJZ19rv9\nGOCzGL1+NrcNH2JuT809XqOf5HPHrJb3nTl8VZ+jpZDvproknuqSeKpHYmn7GjXJb/a2PAcHJ0Hm\nAEBueiWELTLfv6KgCxj0YHSo9/0rNBoN7oae1o1lzlSs+40uXVyJi5uP/gbLyP3BM6lWm5Yby8ks\nS7FqSy04crUfRQghhFBNo5brNHtr3jE/vXjqPHFlpHZPXRJPi6rSm5iY2dXuXzGu3qV1PpqbOJJS\nAf7rlYYtz0NhZ/OZOz8PP/O2R7JSrV57Mu8kFVywass3ZpBXkoe7o/vVfaBmTr6b6pJ4qkvix/G8\n6gAAIABJREFUqR6Jpe2TJP8S9PqrSxqEEE2rIfev0GrL4afP4I6nlLKfjS8BljN31ZP8kwWpVq89\nlmNdqlPlSPYRhncZflX7I4QQQqhBynUuoWravbi4+ZLgN5DU7qlL4qmekJCO6Dp8CF/8otTzlztZ\nlfv08Ohh3vbshRMYTUbz8tGco7X2eTi79dbly3dTXRJPdUk81SOxtH0yki+EaNVGjhzMoEF2dZb7\nuLR1oZ3GiyJTNhWUkV6Yjq+rLwAH0i0j+Vp7LaUVyg0AD2ZKXb4QQohrS2MymUyX36z10Wg0SGiE\nEACBb17PsfN/ALBp2iZGdRsFQPCHfyEpfRUA43qOI+5YHADju93LL9O+rr0zIYQQ4iKNkXdKuY4Q\nQlyGv6ef+Xn1G2IZci0j+WGBYebnh87KSL4QQohrS5J80SSkdk9dEk/11CeWvTtb6vJTclMBqDBW\nkF5qMLffHni7+Xla8RGr2v3WRL6b6pJ4qkviqR6Jpe2TJF8IIS6jV0c/8/ND6coNsU4VnKKCMgBc\nNB0J8AzAWdMegAuc53TB6SbfTyGEEKKKJPmiSch8uuqSeKqnPrGsPo3m0cxUwHr6zO4ugQD0aNfL\n3Hb4bOucYUe+m+qSeKpL4qkeiaXtk9l1hBDiMqon+SfyUwE4mm2ZPrOPt3LX3H6denOwcCugzJVf\ncrAN0dHxlJY6oNWWExERKtPxCiGEaBIyki+ahNTuqUviqZ76xLL6XPlZF45jNBk5mGEZyR/UVUny\nh3a3jOSv2rKOJ+d/QnybHDakDyU+/jUiI9cQG5uk3s7bIPluqkviqS6Jp3oklrZPknwhhLgMN60b\nzhpPAMopJaMwg72nLEl+Ly8lye/Tobe5bfXp/3Fq3DIYvhjuuwu8jmAwLCAmJqFpd14IIUSrJEm+\naBJSu6cuiad66hvLzo5+5udf/vITmw9tMi+nH8xX/nugwPICpzLQVM55bFcBN0YDUFJib9VvbGwS\nev0sQkLmodfPavYj/fLdVJfEU10ST/VILG2f1OQLIUQ9+Hv6kVy8C4D/fLyGkhGF5nXR8w7Tq10S\nPy49CDdqLMl9dUM+hXXzcXSsMDfFxiYRERlHsuNgMLaBg5MxGGYBSO2+EEKIBrH5kfy0tDSmTZuG\nr68vjo6O+Pv789xzz3Hu3Ll69+Hn54ednV2tDx8fn0bce1FFavfUJfFUT31jqS2xjIlkDtwFbYqV\nhfPtST34DjExCZQXO8GhiUp7QXv4dhJkDFSW256n/di7CA8fa+4nOjqeZLeecM/9SknP4OXNvqRH\nvpvqkniqS+KpHoml7bPpkXyDwcCoUaPIyspi0qRJ9OnTh23bthEVFUVcXBybNm2iffv29erLw8OD\nGTNm1Gh3cXFRe7eFEC1MbGwS29bkwvDKBo8TlpVnrgOUMhytthy+/RZ8/oDMAXDhD2j7JkzcC8CF\nofvRjx9lfmlpqQMM+8jS1+jXYc+UGiU9QgghxJXSmEymWs4r2wa9Xk9CQgIxMTE888wz5vbnn3+e\nd999lyeffJLFixdftp+qkfzk5OR6v7dGo8GGQyOEaEJ6/SziU0bCg3dYrzg6DlbHQE5P9PrZhIeP\nJTJyDQbDAvMm/oH/4MwDH1FilwdA3713062gNxERofzrw6/5bdj71n1+uQq9/zbi4uY39scSQghh\nIxoj77TZJN9gMBAYGIi/vz8Gg8FqXWFhIZ07d0aj0ZCRkYGzs/Ml+5IkXwjRECEh89jw28swRQ/e\nu+CADrZ9AWf7AKDTvUxU1DjCwoKIjU0iJiaBkhJ7HB0rCA8fy2fHl/Jd1jKls5MjYelmdLqZdP3r\nXjbYr7J6L+3pHnz/l2V11uTHxibJ3PtCCNHCNEbeabPlOuvXrwcgNDS0xjoXFxduuukmEhIS2Lp1\nK2PGjLlsfyUlJaxYsYITJ07Qrl07Bg8eTFBQEHZ2Nn9ZQouQmJgoV+KrSOKpnvrEUqsth4q28Pn6\nypYk4As8PU9www3dCQ8fZ060w8KCaiTdb97xPVzXBuwvQLctEPArBsMCThV5g5v1e5X6Hsf3Otda\n9yM2Nkk5U3DqBej0J5webj5rYCuJvnw31SXxVJfEUz0SS9tnsxnu4cPKLeF79epV6/rAQOU28keP\nHq11fXUajYb09HQeeughZs2axXPPPceYMWMIDAwkKal5T1cnhGh8ERGh6HQzq7UEodNVsHz5dOLi\n5l8+wS70hD1TLMthT4PvdkrcsgBogxO3dZtgXj127sO1TqcZHR2P4fhseHQ0PBoCdz7Y7C/UFUII\n0ThsdiQ/L0+pX3V3d691fVV7fWbZefTRRwkKCqJ///64urpiMBh47733+Oijjxg/fjxbtmxh0KBB\n6u28qEGO9tUl8VRPfWJZlcTHxMyuVoYzrt6j51ptOaxdAH1/AMc88DoG908yr9f7TeRWp1v4FaV0\nJ7vzQeLXPUTSA1H07PEDvr4uRESEKhfqDl4GnfYpL+z7E3gdtqkLdeW7qS6Jp7oknuqRWNo+m03y\n1TRnzhyr5f79+7N48WJcXFx4++23mTdvHj/88MM12jshRHNQWxlOfUVEhGIwvIfh13/BHU8rjW6n\nzeuHOgxi9dIT4BsEfklgXw5TX6Ckog37UkPY90sMhshluLplw+gV1p0PWoFj26v9VEIIIVoqm03y\nq0bqq0b0L1bV7uHhcdXv8dRTT/H222+zcePGWtc/8sgj+Pn5md9nyJAh5iPXqvlhZbl+ywsXLpT4\nqbgs8VRvuep5Y75fu3ZGpk/3JnFDGhuyvCktzFTe0B8o9mDJi3vQtrkAhpeVJD+lcof8L4AuAUKC\nMfzvY/xC34X2hmrrwW5oDEEd5pFYrT62pcezNS1LPCWetrpc1WYr+9Pclquep6am0lhsdnadpUuX\n8vjjj/PEE0/wwQcf1FhfNb3m2rVrueWWW67qPfLy8vD09MTR0ZHz589brZPZddSVWC0BEQ0n8VRP\nU8dy1OQn2DLwU2W0HuCPx2DVx3h53Ud29tegWwN9Z0KP89DxoOWFhyfg2Gk7JR7pNfrc+OhGbu5+\ncxN9gkuT76a6JJ7qkniqR2KprlY1hWZycjI9e/bE39+fY8eOodFozOsKCgrw8fFBo9GQmZmJk5PT\nVb3HmjVrGD9+PP369WPfvn1W6yTJF0I0hpCQeWzQmCDkVShvC0s3w5lh9O//JCUlHSpny5kFvKbU\n8N93V40+7I1axve8g5+Tvwdgar8nWHbPh037QYQQQqimMfJOO1V7U1FAQAChoaGkpKSwaNEiq3Vz\n587l/PnzTJ061Zzgl5eXc+jQoRpz4R86dIiioqIa/aempvLss88CMGXKlBrrhRCiMWi15ZA4D5Yl\nwMe/w5lhAHTt6k1UlB69fjb9+2fh5PQUHLwTttxTo492hwcQ1MZyBvO7g99QWl5a53vGxiah188i\nJGRerbP2CCGEaHlsdiQflNH8UaNGkZmZycSJE+nTpw/btm0jMTGR3r17s3nzZjw9PQElaQ8ICKBH\njx6kpKSY+5g3bx5vv/02wcHBdO/e3Ty7TmxsLKWlpYSFhfHjjz/i4GB9eYKM5KtLTuupS+KpnqaO\npXmu+2p3xa1+M63q28XEJLBtx2HOTTwF3TcrK4z2EH2M0BuXsCvoC7IupALQb++9dC0IrHFzrNjY\nJJ6a9zlpN26GAl/4ahW67guIitI3ytz68t1Ul8RTXRJP9Ugs1dWqboYFymj+jh07mDNnDnFxcfzy\nyy/4+voyY8YM5s6dW+v0mtXLegDGjBnDkSNH2LVrF5s2baKoqAhPT0+CgoKYOnWqjOILIZpUfafj\nrJrNJyRkHhu+ewemjwL3k7AtAs75UVriQLBHEN9lpQJwwKGMA/GvYTDMtHqfhdFxpA3/HToeUh4D\nv8CwcwExMbNt5gZaQggh1GfTI/nXkozkCyFsgV4/i/j410CbD57JkDEITHbo9bMp1J5l03WVExNU\ntIF3TkJRJ/T62cTFzQcg8K9hHOv9i6XDP6fAj8sJDp5HYuK8pv9AQgghamhVNflCCCGq3W231A3S\nh4DJDp3uZcLDx+KQ1wlOjlQ2tL8A1y0BMN8c61zJOVL81lt32EOZMtjRsaLJPoMQQoimJ0m+aBLV\n54UVDSfxVI+txzIsLMh8QW5w8Dz0+tnm+n2tthx+f8ay8fUfgF05jo4VxMYmMShcT4W22LpDj+P0\nGPgs4eFjr2p/LncRr63Hs7mReKpL4qkeiaXts+mafCGEEHXfbTciIpRjz8WSXOgNLpngnkanoPsY\nMeJWnp71JScn7LRsXNwWnMoAuPfv7a+qHj82Nonpb0WT0SMbdk2DPVNrXAMghBDCNkhNfh2kJl8I\n0RzExibx7A8vk9p9EwA97YfSbcstrO+2Dnx2KxsdHw0pYyDkFQAeHfA0n9z1PrGxSURHx1Na6oBW\nW15jZp6L3Tb+RdYOXQzagsprANKgyNvqGgAhhBBXrtXNriOEEOLSwsKCGHTzV/R41x+TpoJjFbsw\n6JLBK0/ZwGgHce+C4znza9Yd+80ylef5u8AlHVId2LhxETrdD/j6utSa8Ke3S1USfFCuAej/Nfwe\nbr4GoMqVHjwIIYRQn9TkiyYhtXvqkniqpyXEspt7N4Y63WxeNlUl+CYN/G+pcsOtUzeCUZli+Hjx\nPt5e9F8MBMHjN8CDYfD8Xyge05592Q8RH/8akZFratTbZ3bcb/3Gg5cD1hfxvvFGFOHPryI+K4AN\naSPr7EvUT0v4ftoSiad6JJa2T5J8IYRoAex2dK3ZuOoj2P0IALpur9PFrrfSrjGR6XwKxkeCXWWC\n7lgKwz+AJ4fBbS9iMLxGTEyCuavS8lLOeadY999lO92GPkl4+FjzBbmvLl1KyvhvYeJ0mDoOum7F\nYFhg1ZcQQojGJzX5dZCafCFEcxIcMpekvv+Fzn8qDT//DXY44+5+khEjuhEePpY44395b+c7ADiW\nuFPimFd3hzuG4rZxICNu7EZERCimwHwmfDWhxmZ3dXyIR3tM59kXfiS1XzoMXGm9wcZ/wto3ZF5+\nIYS4BKnJF0IIUStHbQV8/QPcEAPJt8HRMABGjLBcFFt2MNuc5Fsl+L/eAifnQtAC0FWOuF+/i/y2\n/Yj/aR4Gw1w6P2WZqadfhwEcOLsPgKRzSeT83IHU4PWWA4zqZF5+IYS4JqRcRzQJqd1Tl8RTPS0l\nlhERoejaL4U175oT/KqbZlW5ufvNNV5nX+hC3zx/nDK/gi9iYc8Ay8pBX8A992A4+U+25Caamz+c\nsBgnjQcAWRdSSez1sSXBTwH297H04bsd/8B/XPW8/K1dS/l+2gqJp3oklrZPRvKFEKIFqJq9JiZm\nNiUl9jg6VhAePs5qVpvfEw9in+tFhWe2uc1r1628+cbDla99lS1rryO/9GalPh+g70/g7YexbQkA\nrsZO3NTtJka6jmZd/ioATJ4Flh357R9gCINOk6FDDjiU8eSr3WR2HSGEaGJSk18HqckXQrQ0ev0s\n4rUZMGyJ0nDqeliyDX3oXHNJj14/i/j4+TD2RbjpzRp9uO2/gS8ffpNXPl3K9oHLrFeuXgjbIgFo\n99fBFPXaA8D8kAXMCn658T6YEEI0c42Rd0q5jhBCtBKlpQ7wxxNQ5gylLhD7PpjsrOa5j4gIRaeb\nBQn/hnXBNfrI3/ouMTEJOJ31gxydZcX6R2HbWdzdH0Gvn83jobebV8Ud+K0xP5YQQohaSJIvmoTU\n7qlL4qme1hRLrbYcTg+Hd07B26eV51hfFBsWFkRUlB69fg7uf/opo/NVcv0gbYRSDqStgO++gkMT\nIXYRbFgKzKdXrwri4ubz7ITHzC/7I3MTFcYK8zSbISHzuO66x7juuv8jJGQeev0smUe/Dq3p+9kU\nJJ7qkVjaPqnJF0KIViIiIhSDYSYGwwJzm3Jx7jir7cLCgggLC6os3YmEnJ7Q+3+w4ykw2VXW+4di\niPwJw8qfrPqaPPl6AAI8A3C360yeMZ0S8nn/+89Y+JKBZA8/6PArVGRBwSNwtB+cvh6DYZb5vYUQ\nQjSc1OTXQWryhRAtUWxsEjExCdUuzh1bZ2IdG5tEZOSaGgcFUVHKBb2X62v8J/cSd/JbAPokh3Io\nJRhunVnzjda8BVueR6+3TPcphBCtSWPknZLk10GSfCGEuLKDgotFb4shMi4CAKd8b4pdsi132K0u\nryssPE5w0KtywywhRKskF96KZktq99Ql8VSPxPLSwsKCiIubT2LiPOLi5l82wa8ez6Aeo83Pi90y\nLQn+6c6w+XkoVubaxz0Nuv922RtmVa/pby11/PL9VJfEUz0SS9snNflCCCEaxYkduWhKtZi0pZbG\nYk/4OhrydkOb+83z8buOnEH4lIV19KQk+E/P+pKTvg6QOg6O3IHBYCn9iY6Op7TUAa22nIiIUKnt\nF0K0elKuUwcp1xFCiIbR62cR3/EPCIyzNH51D56ZTvj5taHQK5ujNysX7joa3cmfk0V83JZaE/aQ\nO55jQ5+V4JoORjv4cBdkDGLo0MfIz++EIe0fUKGFckd0uplERekBSf6FEM1DY+SdMpIvhBCiUZSW\nOsCRCZYkf1s4HI5mUPA8EhPnYTQZ6bigBzkVaZTY5bFg5busmJuHoeB+CPwF9k/EELkco8nI7h4/\nKwk+gJ0RbvsnfPELqamF5Ha5DV7oBEUd4bNEDIYFzJ5dmfynzAOTPZjszCP/1RP92NgkORAQQrRI\nUpMvmoTU7qlL4qkeiaW6qsdTqy2HHU/Cmrfhl2hY8w5gmZffTmPHlCH3m7df/NtyDATBE9fD2H/C\nU4MxdMrhvqhI8ryPWb9R4GrwW0+FZzFMnAYOpUpt/x1PASZSUwsx5P8Vnu0D/3SHMQ9hOHGBqVOX\nmuv5q2YPio9/jQ0b5hIf/xqRkWtsqtZfvp/qkniqR2Jp+2QkXwghRKNQ5uWfg2FL3fPyPzzsAaL/\neAuATK+D8MBEcChTVjqUQegHFFfvtNAbXDIBaBP2V0ocyqBNtS10v8LALzFmauDeydA+WWkPWg5D\nupCb8B/i4x/AYJiFm1suhhNvwj33Qu//QtJsDEkLiImZXWM0X0b8hRDNjdTk10Fq8oUQouEuNwXn\nzz9vYNKvd1LhmWP9QqOdUpZTXVpf+H4MPLMYHC5aV12RFrsMD4wBGbWvP3YD/PdG7IwnMN6fAd22\nWtZ9kkSw/1qrqTxjY5OIiIwjOftxON8RylzMdf+S6Ash1CDz5DchSfKFEKLx6fWziC9tA7fMszTm\ndYVla2HAkxD0G9iXQ4mbcrFtbgDt7xtMTt89Vv04rBuMcfhRjK7na77J1hthQCq4VEv6S9yhyB68\nLjq4ONuL247dScLqN4iNTSIqeg2bszdQNKwEfP+AvG7w6QY4539VN++SMwJCiNrIPPmi2ZLaPXVJ\nPNUjsVTXlcaztNQB9j4IFW2UhgIv+PwvuJe/jtc+byWxj/+POcEHMG0MUKbirLL/HsqTdtFuw9Ca\nb7BpJA6/doKYI7BlBlT9hjrmWSf4FxyV/3Y4wh6PePoPeJzJs18lQbeKogmblAQfwP0k3D8Z2pyn\npMT+iubuN18DsPlZNmT1Jz7xxcteAyDfT3VJPNUjsbR9UpMvhBDimtFqyyGnJ3z5M/RIUi7Uze/G\nCP1swsPHEhn5FYbN1jX9Tk49yF31IUx+GM5cB6s+AjTYHe0JBztCX2VaTpJvhbVx9O77DCUl/8aw\n5l04dA4mbQDPFGWbCnv4aQKO7umU3KaU7WQG7iGzY2rNUf4qnf+ECTeyfY0/d76wnbIB7cChGFL8\n2PDEvwhs/wO+vi41Rumjo+MxpEfCU0PA9QycGIXh043ExMxt8Gi+nCEQQlxMknzRJEJCQq71LrQo\nEk/1SCzVdaXxVC7OnYnBsAAMoYDl4tyqJDUmZna1mv5xREfHsy/+Hjhwd2UvGgAcHIph1cdQ7ghG\nB4hbCEYHunb1Jjx8LDExs/n992JyF++BoNfAZyf89iKk3EqQfhZbck5R0P6kUh5UPcEvc4Ltg6Ho\nTgj9h9I2aB/nu56C9rmW7XpDKbAv8zj74hZiiFwDWKbsLC11gNufVRJ8gO6bYdAKSkrsgboS9cvH\ns+oMgeH4bGhzHorb1zpdqJB/72qSWNo+qcmvg9TkCyFE07jcxbm1bR8ZuUY5MKik073MlCldWbHi\nVI32qCjLAUNdr42KGscr733D9uuXKNNxglK3vy0CtkZC8X4gAc1flmO67nj9Ptjvw/DY0YsbhgQQ\nERHKy19Esaf3D9bb5HfhtoNTmPHM7Ux/K5qMnmmQo4P9/XE8tZOefl1rPStQnV4/i/jd98OD45UD\niPi3YOuMq7pmoKHkjIIQV6fVXXiblpbGnDlziIuLIycnBx8fHyZNmsTcuXPx8PBo1H4kyVdXYmKi\nHPWrSOKpHomlupoqnnUdGNTngKGubfT6WcQbgmD4IjjlDdvdoORt8+t0upfRtsvnwA3boevvSmO5\nFnY+Bpmp0NMBAhKgbbWLf3MC4PfxaM8coez+JExOpTU+y187Pcbu385woOcvoKn2u1PiBokhsP8h\nnMq/QafzqTXhH377M+zo/515alEA/vcRwa6neOGFMU2WdJsPoNIjodOfcDwInd+rVz0LUUMPGGp7\nfbt2Rvn3rhL526muVpXkGwwGRo0aRVZWFpMmTaJPnz5s27aN9evX07t3bzZt2kT79u0brR9J8tUl\nfwzUJfFUj8RSXc05njVH+ZNwclqETudDly6uhIePJTo6nvjfZsDoBVCaCzvcoTAKmAW8Bu0yYEIQ\n9DlS9xvlO9EpZRgZg38DQFNhj8m+ovZtU4CuDrDteaW0qMTTPH0nwBsffcWmXp+BS4n160ygXTUM\nzcFhlBj/A9oCKPClc6fH8fHR4ubmTX5+GtAWNzfvBh0AVCXT2/YcIG9AL7gxWrl3QWZ/+OIX9CM+\nJi5u/hUl7eb/F9mPK9c7nO1br2lLq97jRMYpkouzKXO9A1KDIbs3Ot1Mpk/35qWXIq/4M4qamvO/\ndVvUqpJ8vV5PQkICMTExPPPMM+b2559/nnfffZcnn3ySxYsXN1o/kuQLIUTrc7kzAXUdCHh7O5CZ\n6Upx8QfAXBjUE24PV2bxudiK1YzVbWT3yC/JItV63ZmhcMwZ+p+x3MirSlEH+PZbSA1h6NDHyHIw\nkTZ6DbidUtaXtYNcb+hUeVGxUQMVjpabhZU6QboXZEyEslwgBUzByqxFZ8CxYA09/brSpk0hVcl/\n9QOB2g4KACUe7bvAmOfB6aKDjQIvXFcNo6u2G4bydMo6joDjo+F48CWT9lD9TBLyO0Lo38GuAlZ9\nAH88eckSpFU/J/Lo4tfJ1qWC11HLinItxEbCrjZ4ep7Ez6/NJT9TfQ4i1DgzcjV9STlUy9VqknyD\nwUBgYCD+/v4YDAardYWFhXTu3BmNRkNGRgbOzs6N0o8k+UIIIWpzuVKh338/Sm7uSnDMhX4PQ/9i\n8F+n3NxrayTELSQ4eB75nQ6xq9/Xlo7TfGHFvsoSofmgS4BbHwHfM5ZtKuxh9Vg0pjOYxh+yXD9Q\n5ghf3IN9TiYVD52Ajgev/INVOMB5dyg1QZk/5LrC8bZw/E0oSAXXVeByNxR5Q/oQdDrlrsG73DrD\nLXPr7rfMGbgAbS9Y2g7eDPGD8KSwRtJttLPngN86Lgw8Vm3f2sDSTQQHxlqVIFUl6Y5ezmzv+gXl\nful178fO6bBnAPT4Abq2A1MeZFdA9iNwchRkDLY6S3Lxe5SVVZCcrKG4LAraFkJxe3S6WVdVjhQb\nm8SzL/xEakAxaPNh89/Rtfuuzveuis2ZM26kp79j7qe2AyU5EGieWk2Sv2TJEp544ok6R9mrRud/\n/fVXxowZ0yj9SJKvLjmtpy6Jp3okluqSeF482l9ZxuOcBe2yIKsvoEGvn01xiR1J7ZNh8Aplus+v\nn4fSzTg778Vk6lx5VmAK9J8A4yOtb+ZVXYkbrPwJUm/B3f0R8owL4OFbocNhZf0FJ2XGIafc2l9/\nNZKHwephaPpuwTRmr6U9xxPWvQ9FHeG+MHCseQ2CWbkWTveCthnQ1hWMZVB2AbSu1iPxVc6547x8\nJMaSrpQE3AJdfgRNKjAC+n9jfU1ChR1kDoK2RdZ9pQD+dezPbj3E96OdxkAF3pR0ug884+DCUSh7\nFJw/hsC2EPAraAvhzBBIupP2mXsZOKDfZc96VB0IRkfHs/XYTvLvOALtKwcgTRrYORinnV5UuDhR\n1j4E3LbBhVNQ+hewK4fOX0DnC+CcDUfCYM27cL6D1dkN83fvxMvK/3OT/WUPBOqz37Wp7d96fQ4w\n5CCkdo2Rd9rkFJqHDyt/mHr16lXr+sDAQBISEjh69Oglk3y1+hENt3v37lb/w68miad6JJbqknha\npq2MiZlNWloWyclPUXz+AzjfEbBMERodHQ8/LlNmwynyRpkKdDyjR882T/m5e7eB/OT1FH+0HR4Y\nDj4XJfoZA+DrHyAnEKicRjS7CyzeA24/wPntUPqWsq3rDPAZCx0Ogd0vQCjYl4L3N9C5DLyOUW8B\nf8DTuzDZGS1tx0Jh5d+hPAlPzxNUfKsnf8Ju8DihrM8JgOzeELhaWXYohe5VBwjVEnSqjcbvvwd0\nq8GxEDzyOH/XbnDdDa5Lqm2/w3rffnsREm+F8kRo8zJMGAmD9lq6rivJH7IGeu2g6IgvBG6GdtXf\n4381t/fZDfftJierDxsys8A7HUyDoOAsFOVDzt8huRfkJ7Nx4yK8vT8kI9uZkq5hcO9b1gdAGhMM\n203xsKqGn6u90eaa7z14BehiYdVtbN3qzHXXPQa0JfnMGfKGdoW/esL5DrDmcQz7YOrUpfj5LcPq\njIRmPnh9A20Pg3YcZO+FwmIo/Dvkd4EyV/bsmY6Pz8paS7cyMg4SGDi25pmOkveVgxY2snHjInS6\nH8wlYGVlFRjOlFBygyf02Ac7R5F0z3v01Cn3lhg50pctW05f8uBDrWtJWgObTPLz8pTR+PW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XVun9rjOvIXSquOUtA7YCiiMuR2yc2TISDAhxlWhu39d//etfbN++nc2bN+Pl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gqnK44A4IoH3Vt052aKa68PLN5buIFB8S/y8oQRlsHK+R6t9YNz78Jo/Ivl71Xf+e+3Yj69M5C8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\nnnXr1uHj40Pfvn3t0TwhLmvjx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dOpjVPMfHx9OuXTuzJ5yW93hHR0dee+01wsPDcXd3N/aLiorC1dWVpUuXGtu2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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#check priors\n", "\n", "model=MCMCModel(sim,{'alpha':[0,5],'beta':[0,20],'zeta':[0,10]}) \n", "model.fit(iter=100000)\n", "model.plot_distributions()\n", "fig=sim.figures[0]" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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qqqdnUUjFvIiIiIiIsz7/HNq2hYQET88EUJuN09RmIyIiIiIAHDgALVqAw+GS3atn3gVU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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(model['S'].value,'o')\n", "plot(model['S'].stats()['mean'],'--')\n", "plot(model['S'].stats()['95% HPD interval'],'r:')\n", "plot(model['Z'].value,'o')\n", "plot(model['Z'].stats()['mean'],'--')\n", "plot(model['Z'].stats()['95% HPD interval'],'r:')\n", "plot(model['R'].value,'o')\n", "plot(model['R'].stats()['mean'],'--')\n", "plot(model['R'].stats()['95% HPD interval'],'r:')\n", "xlabel('Time')\n", "ylabel('Population')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Joint distributions for alpha and Beta parameters - notice the direct correlation between the two terms" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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1zk6dJaAGiPgjrI+uJxpYqGN/Jcy3YBOFBP3JfiekLGtosrbAA1htxS+1qLmF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m8dOmN/a9EZ/7cW3rbkvek1JTFbqa1wafkS9++/Xz4cN1az/EAs8e/vFgmHIVlOmklZoX9s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\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VXE5Kbe9tZ2HVQipdlSwOLLa178A1u/bVcC3vcSqUsn7MPf9GsPv8bjt7wSE5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Cw3xnce/w5PvPAEc6vnOtp3G5BgVmQWTdWO9GWii81Enlr1FIHtgbLfu5sHv+ynOlBd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\ncAeArIQsZDgzoEl/X7qiKP6ec6nBZrZBQ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model.plot_joint_distribution('alpha','beta',show_prior=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Joint distributions for alpha and zeta parameters - notice that there is no co-dependency of the two terms" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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IYNDPctJycHD9wYkcAkXIbDWjvrPem7p2RdEKpnslIkphXGeAEtLWlq0he5a3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RAFkTeH38xLvXvyjietKvhIdITdPbstl2EBIW/iaRqp+WQfNmzE1TgVcgVXll9Jta867b3XVl7L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\nYjJARERERDRO/X/ZDqBwKYGyZgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model.plot_joint_distribution('alpha','zeta',show_prior=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###SEZR Model based on dynamics observed in 'Shaun of the Dead'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Movie \"data\" from Shaun of the Dead" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "t=array([0,3,5,6,8,10,22,22.2,22.5,24,25.5,26,26.5,27.5,27.75,28.5,29,29.5,31.5])\n", "zombies=array([0,1,2,2,3,3,4,6,2,3,5,12,15,25,37,25,65,80,100])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Simulation using data (we've plugged in the resulting estimated parameters)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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aNFBkZKQ6duyoSZMmqbS09IqvO3v2bHXt2lVRUVGyWq267777tHw5C2MAAP5l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\nJ/4fWijQWpF7R7UAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sim=Simulation()\n", "sim.add(\"S'=-beta*S*Z\",508.2,plot=1)\n", "sim.add(\"E'=beta*S*Z-zeta*E\",0,plot=0)\n", "sim.add(\"Z'=zeta*E-alpha*S*Z\",.000347759,plot=1)\n", "sim.add(\"R'=alpha*S*Z\",0,plot=False)\n", "sim.params(alpha=2.96e-8,beta=0.000808995,zeta=60)\n", "sim.add_data(t=t,Z=zombies,plot=1)\n", "sim.run(0,50)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "MCMC parameter estimation for the initial susceptible (S) population" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[****************100%******************] 100000 of 100000 complete\n", "Time taken: 11 m, 27.98 s\n" ] }, { "data": { "image/png": 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wxyEtLY1//OMfVFRUEB8frz1fVzmgmSBaM7Tijz/+wNbWFjc3N5PX+fv707t3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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model=MCMCModel(sim,{'initial_S':[0,1000]})\n", "model.fit(iter=100000)\n", "model.plot_distributions()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "MCMC parameter estimation for alpha (rate of zombies being permanently removed), beta (rate of susceptibles becoming infected), and zeta (the rate of infected into becoming zombies)\n" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[****************100%******************] 100000 of 100000 complete\n", "Time taken: 4 h, 14 m, 54.04 s\n" ] }, { "data": { "image/png": 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n4xHBEcTo1SJfPPm9HYm/75DY+x/nhV2nNe69916ef/55vvrqK5fH58yZw7Bh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5AAAg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\n5fVcWpyl+JEUiqcuh8g3bC9cP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i+/btXHbZZd2+V1hYWJsLLwlCXyQ1NRnfb5qtot4ndhdB/sG0DgQ78nHGqkR+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e9yuFgiL4e255xRMpLeIKpsMjglIWYdtAnXbyAJd6DWCnkvQv0o2PAsdAiEf7g5sAwk5AnhRfWl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\nMyqoKopBJfioCjUqqOrw4Y+os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Pn0///v2NEtMvv/zyuu/v5ubG0KFDOX/+vMm+xMREfTlMTTIzM7l48SIPP/ywvi0hIYHC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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model=MCMCModel(sim,{'alpha':[0,5],'beta':[0,5], 'zeta':[0,10]})\n", "model.fit(iter=100000)\n", "model.plot_distributions()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###SIR Model based on GoogleTrends influenza data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Data from GoogleTrends based on influenza records in Argentina (2003)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "t=array([1,8,15,22,29,36,43,50,57,64,71,78,85,92,99,106,113,120,127,134,141,148,155,162,169,176,183,190,197,204,211,218,225,232,239,246,253,260,267,274,281,288,295,302,309,316,323,330,337,344])\n", "flu=array([136,145,141,135,134,136,134,153,158,187,193,186,209,239,241,232,251,253,261,258,278,348,325,307,239,229,235,225,201,192,224,210,204,213,217,205,174,178,178,184,166,149,133,123,121,109,103,100,98,98])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Simulation using data (we've plugged in the resulting estimated parameters)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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vWrRo4XdNt27dNG3aNEl2LdTevXs1dOhQde7cWZL08ccfKycnRy6XS3PmzNH/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\nyz22nT171o6Pj7cvu+wy+8yZM+7xbt262VFRUfbXX3/tcUx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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "S0=10000\n", "sim=Simulation()\n", "sim.add(\"S'=-beta/S0*S*I\",S0,plot=False)\n", "sim.add(\"I'=beta/S0*S*I-alpha*I\",136,plot=1)\n", "sim.add(\"R'=alpha*I\",0,plot=False) \n", "sim.params(S0=S0, alpha=0.04334,beta=.05041)\n", "sim.add_data(t=t,I=flu,plot=1)\n", "sim.run(0,350)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "MCMC parameter estimation for alpha (rate of recovery) and beta (rate of infection)" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[****************100%******************] 100000 of 100000 complete\n", "Time taken: 16 m, 49.99 s\n" ] }, { "data": { "image/png": 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sbKzF9dZUX9XRa25uLlqt1mI9BaXjbd26lRkzZnDu3DlGjhxpeI0YMYLMzExF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\nFKfVq1ezfv16Fi5cS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T1gVn1apVHDp0iCeeeMJk/549e8jNzcXXt/KXpfpyo56rpde5Xk2e//VdnF5/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model=MCMCModel(sim,{'alpha':[0,.3],'beta':[0,.3]})\n", "model.fit(iter=100000)\n", "model.plot_distributions()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Simulations (for hypothetical situations in zombie apocalyse)\n", "###'Night of the Living Dead' as an example" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "####Removal rate of zombies is greater than the susceptible infection rate\n", "Change Beta to be slightly smaller, where alpha > Beta (0.0393>.03)" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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umzZtmhYsWKC2bdsqOTlZFRUVWrt2rU6ePKlFixa5fSyGegAAAHhDwA/1s2fP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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sim=Simulation()\n", "sim.add(\"S'=-beta*S*Z\",180,plot=1)\n", "sim.add(\"Z'=zeta*R-alpha*S*Z\",1,plot=1)\n", "sim.add(\"R'=beta*S*Z-zeta*R\",0,plot=False) \n", "sim.add(\"X'=alpha*S*Z\",0,plot=False) \n", "sim.params(alpha=.0393,beta=.03,zeta=6.15)\n", "sim.run(0,10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "####Military intervention - Change alpha (increase the rate in which zombies are permanently removed) at different time points" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Simulating military intervention in the film" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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wDz0HJqLnAADgKh9/LN19d8U205oCcGCdAx9BcgAAcBWbzX7XoLRUCgmR9uyR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\np64Y+J/I/9HuI7vZQ+ADpZWlipsTp+ITxc4xCgS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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def alpha(t):\n", " if t>31.5: #t=31.5 because the zombie population reached about 100 or so at the end\n", " return 0.0115\n", " else:\n", " return 0.00115\n", "\n", "sim=Simulation()\n", "sim.add(\"S'=-beta*S*Z\",500,plot=1)\n", "sim.add(\"Z'=beta*S*Z-alpha(t)*S*Z\",.000347759,plot=1)\n", "sim.add(\"X'=alpha(t)*S*Z\",0,plot=False) \n", "sim.params(beta=.00199)\n", "sim.functions(alpha)\n", "sim.run(0,50) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Simulating military intervention had they come at 40 hours (8.5 hours later than in the movie)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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sfUQEq+YA8C+ae6CeyErCDHUR2t5+23gsK3Nd8566gBnqAt5Ecw8AQANde60x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\n+4znEJkDm3uiDmJWkuSwLhzfPevvwZnSM3pjU4OnGm3sWRf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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def alpha(t):\n", " if t>42: #t=40\n", " return 0.0115\n", " else:\n", " return 0.00115\n", "\n", "sim=Simulation()\n", "sim.add(\"S'=-beta*S*Z\",500,plot=1)\n", "sim.add(\"Z'=beta*S*Z-alpha(t)*S*Z\",.000347759,plot=1)\n", "sim.add(\"X'=alpha(t)*S*Z\",0,plot=False) \n", "sim.params(beta=.00199)\n", "sim.functions(alpha)\n", "sim.run(0,50) " ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "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": "3.7.7" } }, "nbformat": 4, "nbformat_minor": 4 }