{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Technical note: Simulation with sensitivities, test case 1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this notebook we set up a simple model and look at sensitivities of states, time-derivatives of states (`dot(x)`), and calculated outputs with respect to parameters and initial conditions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Model & solutions\n", "\n", "By definition, in Myokit:\n", "\\begin{align}\n", "t_0 &\\equiv 0\n", "\\end{align}\n", "We have three parameters, and 2 initial values:\n", "\\begin{align}\n", "p &= 1 / 100 \\\\\n", "q &= 2 \\\\\n", "r &= 3 \\\\\n", "x(t_0) &= x_0 = 1.2 \\\\\n", "y(t_0) &= y_0 = 2.3\n", "\\end{align}\n", "Two linear ODEs:\n", "\\begin{align}\n", "\\dot{x} &= pq \\\\\n", "\\dot{y} &= 2p - y\n", "\\end{align}\n", "And finally two outputs, calculated from the states:\n", "\\begin{align}\n", "f_x &= x^2 \\\\\n", "f_y &= r + p^2 + \\dot{y}\n", "\\end{align}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can solve this system analytically, to find:\n", "\\begin{align}\n", "x(t) &= x_0 + pqt \\\\\n", "y(t) &= 2p + (y_0 - 2p) e^{-t} \\\\\n", "\\end{align}\n", "and\n", "\\begin{align}\n", "f_x(t) &= (pqt)^2 + 2pqtx_0 + x_0^2 \\\\\n", "f_y(t) &= r + p^2 + (2p - y_0) e^{-t}\n", "\\end{align}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Myokit implementation\n", "\n", "First, we set up a model and compare the ODE solutions to their analytical equivalent. We check the states ($x$ and $y$), their time-derivatives ($\\dot{x}$ and $\\dot{y}$), and the outputs ($f_x$ and $f_y$)." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1152x504 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import myokit\n", "import numpy as np\n", "\n", "m = myokit.parse_model('''\n", "[[model]]\n", "e.x = 1.2\n", "e.y = 2.3\n", "\n", "[e]\n", "t = 0 bind time\n", "p = 1 / 100\n", "q = 2\n", "r = 3\n", "dot(x) = p * q\n", "dot(y) = 2 * p - y\n", "fx = x^2\n", "fy = r + p^2 + dot(y)\n", "''')\n", "m.validate()\n", "\n", "s = myokit.Simulation(m)\n", "d = s.run(8).npview()\n", "t = d.time()\n", "\n", "x0 = m.get('e.x').initial_value(True)\n", "y0 = m.get('e.y').initial_value(True)\n", "p = m.get('e.p').eval()\n", "q = m.get('e.q').eval()\n", "r = m.get('e.r').eval()\n", "\n", "fig = plt.figure(figsize=(16, 7))\n", "ax = fig.add_subplot(1, 1, 1)\n", "ax.plot(t, d['e.x'], lw=3, label='x')\n", "ax.plot(t, x0 + p * q * t, 'k--')\n", "ax.plot(t, d['e.y'], lw=3, label='y')\n", "ax.plot(t, 2 * p + (y0 - 2 * p) * np.exp(-t), 'k--')\n", "ax.plot(t, d['dot(e.x)'], lw=3, label=\"x'\")\n", "ax.plot(t, np.ones(t.shape) * p * q, 'k--')\n", "ax.plot(t, d['dot(e.y)'], lw=3, label=\"y'\")\n", "ax.plot(t, (2 * p - y0) * np.exp(-t), 'k--')\n", "ax.plot(t, d['e.fx'], lw=3, label='fx')\n", "ax.plot(t, (p * q * t)**2 + 2 * p * q * t * x0 + x0**2, 'k--')\n", "ax.plot(t, d['e.fy'], lw=3, label='fy')\n", "ax.plot(t, r + p**2 + (2 * p - y0) * np.exp(-t), 'k--')\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Sensitivities w.r.t. $p$, $q$, and $x_0$\n", "\n", "Sensitivities of $x = x_0 + pqt$:\n", "\\begin{align}\n", "\\left.\\frac{\\partial x}{\\partial p}\\right\\rvert_t &= qt \\\\\n", "\\left.\\frac{\\partial x}{\\partial q}\\right\\rvert_t &= pt \\\\\n", "\\left.\\frac{\\partial x}{\\partial x_0}\\right\\rvert_t &= 1 \\\\\n", "\\end{align}\n", "And of $\\dot{x} = pq$:\n", "\\begin{align}\n", "\\left.\\frac{\\partial \\dot{x}}{\\partial p}\\right\\rvert_t &= q \\\\\n", "\\left.\\frac{\\partial \\dot{x}}{\\partial q}\\right\\rvert_t &= p \\\\\n", "\\left.\\frac{\\partial \\dot{x}}{\\partial x_0}\\right\\rvert_t &= 0\n", "\\end{align}" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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e3YZSrnkOooWz2Ry+iqcDPD09adCgAfnz5yddunSUKlUKAC8vL77++mvSpElD586d6datG9WrV6d8+fJ/3Xfo0KE0atQIT09PypQpQ9q0aQFYvnw50aNHp3HjxgQFBfHOO+/wzTff8N577zF48GAKFy4MPD0dN2HChGH/okVE/qNHfoG0XryXfX/eJ3q8ZKRsOYNmFQry8Qd5iBZNR44kZP2X2fz8R5N99dVXVKpU6a/b06ZNo3HjxkybNo06der8tb1WrVp888035MmTh6xZs1KmTJmwe3EiIiHE/0kgm2b8wvVzj0gSLyUD6i2kdDVPSjfIigmHs9m86n2HoaVQoUL24MGDf9t26tQpcuTIEWYZ3kabNm1o06YNxYoVC9PnjUi/RyIS+dx97E+Tud/xzSwv3NPmJV6xunQom4m+72dz/HRFY8wha20hR0NEcBF9Nj+vQoUKLF++nBQpUvyn+7Vo0YJq1apRt27dl9Yi6u+FiERuTx758+mEnxm9qCc50xSmXL76FKqSniLVM4Tb2Rzlj3j+FwsXLnQ6gohImLr+wJeGM3fx8+x++F05TazspehbKRsdy2Z2OprIS3bu3Ol0BBGRUPforh+rxu5mzNIeXLx5hiJZK/BO7cwUqJjW6Wj/k4qniIi80qU7PtSbuo1f5vUh4NZFktTsy+R+7WlSLJ3T0URC1NKlS52OICLyr9y74cPyUV8zbkU3btzzpnXFoXQf1IacJcP/BUtVPEVE5CW/X39I43nf8+vs7gTev0HyekOY69WKmvlTOR1Nwoi11vHTtZwWlm9HEhH5J7cvP2L9pH2MWtaRe49v0bHqaDoPaUqWQsmcjvavqHiKiMjfHPW+R/PF+7nrY4lbpBYxk6RhSb+mlM8ZMQabvD13d3du375NokSJomz5tNZy+/Zt3N3dnY4iIsK18/f5csavBPgYyuWrT5okGek4rCHpcidyOtq/puIpIiJ/2XvuNk3GrePhvVvEzOBJskKVWdi8MMUzRZzBJm8vderUeHt7c/PmTaejOMrd3Z3UqVM7HUNEojjv03eYM3w9Dx/eJ1tqT94tUIOqnfKRMkt8p6P9JyqeIiICwDenr9Ni7Aq81wzFJVYCcnaez/I2xciXJr7T0SSMubq6kiFDBqdjiIhEeeeO3GTWiNXM3jKA+LESM6LFUj7o7kmStHGcjvafha9PFQ0Hhg0bxsSJE1+7XrZsWS5cuPDX7TFjxvztQ6n/T+zYsUMjnohIqNh45DJNhi/Ee9VAXDzikbPVOD7tWFKlU0RExCFn9l1j0qDFzNjcl3geCendcDJ1+hSOkKUTdMTzre3YsYN169Y5HUNE5I2t3PcnPcbN5+am8bgmSkOBtuP5tHsV0ibycDqaiIhIlHRstzdTRy1g2TejSZEwPf2bTqPJgHeJmzim09HemI54AqNGjSJbtmyUL1+eM2fOAFC4cGF2794NQP/+/Rk4cCAACRMmxMXFBYAHDx7g7+9PkiRJOH/+PMWLF6dw4cIMHjz4r8fevXs3pUuXplatWuTMmZP27dsTHBwcti9QROQ15n73BwM/P86T84eJkSwz73SZzqY+1VQ6RUREHGCt5eBXF9iz5jdOex8kfdLsDG87l+ZDy0Xo0gnh7IhnnmV5Qu2xjzU/9srthw4dYs2aNRw+fJjAwEA8PT0pWLAgS5cupW7dukyfPp1t27axb98+ADZs2PDXfXft2kW5cuUA6NatGx06dKBZs2bMmjXrb8+xf/9+Tp48Sbp06ahUqRIbNmygbt26ofRKRUT+mbWWCdvPMHP7UaLFiEXCCu3JldyDle1KkyCWm9PxREREohxrLT9v+IOfvjxJzBixaVCqO4nSxKROz6K4x3J1Ot5bi/JHPL///ntq1aqFh4cHcePGpUaNGgDkypWLpk2bUr16dRYvXoyb28vfiG3bto3KlSsD8OOPP9KoUSMAmjZt+rf9ihQpQsaMGXFxcaFRo0b88MMPofyqREReLzjYMuiLY4we9TFXFnch6PFdimVKwtqOZVQ6RUREHBAcbPl2xWlGjh7O2PXtefjkHulyJqZen2KRonSCiifAaz+j7NixY8SPH5/r16+/cn3//v0UKVLkHx/nxe1R9TPRRMR5AUHB9Fh7mBmjh3D/h5W4p81L+fyZWNaqCHHcI8dgExERiUiCAoPZvvAYw8cNYNsvK8iWqgC5imSgaqe8uLmHqxNU30q4eiWvOx02NJUuXZoWLVrg5eVFYGAgmzdvpl27dmzYsIHbt2+zZ88eqlWrxv79+4kfP/5f9ztx4gTZs2f/6/2eJUqUYM2aNTRp0uSlq9zu37+f8+fPky5dOtauXUvbtm3D8iWKiADgGxBExxUHWTdlMI+P7SROweo07zGUyQ0L4Oqin0OKiIiEtQD/ILbOOcLoWf3Z//tO3stbD69uQynXPAfRItlsjlyv5g14enrSoEED8ufPT506dShVqhQAXl5eLFq0iKxZs9K5c2e6dev2t/t99dVXVKpU6a/b06ZNY9asWRQuXJj79+//bd/ixYvj5eVF7ty5yZAhA7Vq1Qr9FyYi8pxHfoG0XHKADYum8/jYTuK904jOAz5maiNPlU4REREH+D8J5MsZvzJn2RT2/76TaoVbMsRrJOVb5Ix0pRPAWGvD7MkKFSpkDx48+Ldtp06dIkeOHGGWIaRUqFCB5cuXkyJFiv+53+7du5k4cSJffvnlGz9XRP09EpHw4Z6PP82XHODXS/cI9n2Ez+/76N25Lf0qZYvwp/4bYw5Zaws5nSMie9VsFhGR0PXkkT+bp//KzYsPeez7gBMX99GhWxuK1sgYaWdz5KvSYWTnzp3/WDpFRJx244EvtafuZPeySdhAf6K5x2ZEn454Vc4e4QebiIhIRPTorh8rRu5m3toJBAT5E8s9Lt282lOsZqZIPZvD1Xs8I6OyZctStmxZp2OISBR06Y4P9aZu45d5fQi4dRGPLEUZ36UhTYulczqaiIhIlHT/pg/LPv6acSu6ceOeN/kzlqJVz9rkKpXK6WihTsVTRCQS+v36Q+pN2syJRX0JenCL5PWGMKd3Ez4oEPkHm4iISHh0+/IjFo/YxoS13bn/+DYdq46m/cD6ZCmUzOloYULFU0QkkjnqfY8G4zfw+zIvgn0fk6rxxyzp15TyOaPGYBMREQlvrp2/z4Lhm5j8WS/8Ap7QreZEOg5tQPo8iZ2OFmZUPEVEIpG9527TZtlB7vv4Ec3VnbT1h7DCqyHvZIo6g01ERCQ88T59hy1zjvHksR/urjHpXHMMHYbVJmWWBE5HC1MqniIikcQ3p6/TesYWgmMnxS1xWnJ0nsey1sXJnya+09FERESipHNHbrJy0k4SeCQjVaKMjGixjJrdPUmaLq7T0cKcrmr7gmHDhjFx4sTXrpctW5YLFy78dXvMmDGsXLnypf1ix479j881ZswYMmfOTLZs2di+ffsb5RURAdj06xWaDF/Inws68vDQJpLGicG69iVVOkVERBxyZt81Jg1cxMjVLfn+5CZixXOjTp/CUbJ0go54vrUdO3awbt26/3y/kydPsmbNGk6cOMGVK1coX748v/32Gy4uLqGQUkQis1X7LtJ93DxubhqPa8LUZClekXXti5MuUSyno4mIiERJx3Z7M3XUApZ9M5oUCdNTuvD71O5TkLiJYzodzTE64gmMGjWKbNmyUb58ec6cOQNA4cKF2b17NwD9+/dn4MCBACRMmPCvcvjgwQP8/f1JkiQJ58+fp3jx4hQuXJjBgwf/9diff/455cuXx1rL1atXyZo1K9euXWPjxo00bNiQGDFikCFDBjJnzsz+/fvD9oWLSIQ377s/6DpiKje/GEuMZJl5p+sMNvauptIpIiLiAGsth7ZdYOywqSz5+mPSJ83OsI/m0mJouShdOuFfHPE0xiwGqgE3rLW5X1jrDUwAklhrb71tmFPZc7ztQ7xWjtOnXrn90KFDrFmzhsOHDxMYGIinpycFCxZk6dKl1K1bl+nTp7Nt2zb27dsHwIYNG/66765duyhXrhwA3bp1o0OHDjRr1oxZs2b9tU+tWrVYv349s2bNYtu2bQwfPpzkyZNz+fJlihUr9td+qVOn5vLly6Hx0kUkErLWMnHHGaZ98RO3t03HPW1e3u0yjhXty5IwlpvT8eQtGGMqAdMAF2ChtXbsC+vm2XoVwAdoYa39xRiTDVj73K4ZgSHW2qlhElxEJIqz1vLz53+w49OfWbNnCjlSF6R/m8nU7VUU91iuTsdz3L851XYpMBNY/vxGY0waoAJwMeRjhZ3vv/+eWrVq4eHhAUCNGjUAyJUrF02bNqV69er8/PPPuLm9/I3ctm3baNmyJQA//vgj69evB6Bp06b069fvr/1mzJhB7ty5KVasGI0aNQKefmG+6On3EiIi/1twsGXophN8svdPosdLRtL6IyhVogRL2rxDHHcNtojMGOMCzOLpfPUGDhhjNllrTz63W2Ugy7NfRYE5QFFr7Rkg/3OPcxn4POzSi4hEXcHBlu9Wn+Hk91dIEi8VnaqMo1SZ0tTs4ombu97dCP/iVFtr7R7gziuWpgB9gZcbVATzusJ37Ngx4sePz/Xr11+5vn//fooUKfKPj3P58mWiRYvG9evXCQ4OBp4e4bx06dJf+3h7e5MyZco3fQkiEkUEBAXTc90Rpo8Zis/vewGo+n4FVrQrqdIZORQBzlprz1lr/YE1QM0X9qkJLLdP7QXiG2NSvLBPOeAPa+2foR9ZRCRqCwoKZsfCY4wcN4jjfz6dzZWqVqRW94Iqnc95o98JY0wN4LK19td/OkpnjGkLtAVImzbt/9z3dafDhqbSpUvTokULvLy8CAwMZPPmzbRr144NGzZw+/Zt9uzZQ7Vq1di/fz/x48f/634nTpwge/bsf73fs0SJEqxZs4YmTZr87Sq3gYGBtGzZklWrVrF8+XImT55M7969qVGjBo0bN6Znz55cuXKF33///W8lVkTkRb4BQXRccZB1Uwbz+NhO4lpLg7q1mVw/H64uest+JJEKuPTcbW+eHtX8p31SAVef29YQWP26J/kvs1lERF4v0D+ILXOPMHpWf/b/tpPoLm7Url+T95rlwEWz+W/+c/E0xngAA4GK/2Z/a+18YD5AoUKFwt3RUU9PTxo0aED+/PlJly4dpUqVAsDLy4uvv/6aNGnS0LlzZ7p168ayZcv+ut9XX31FpUqV/ro9bdo0GjduzLRp06hTp85f20ePHk2pUqUoVaoU+fPnp3DhwlStWpVcuXJRv359cubMSfTo0Zk1a5auaCsir/XIL5DWi37iy+kD8DnzI/HeaUSHXl58/EEeXKLpNP1I5FV/mC/Ozv+5jzHGDagB9H/dk4T32SwiEhH4Pwnk82kHGD2vD0cv/Ei1wi3p3b0vpRtmw2g2v8S86r2GL+1kTHrgS2ttbmNMHuBrnl7QACA1cAUoYq299r8ep1ChQvbgwYN/23bq1Cly5Ai9iwqFlgoVKrB8+XJSpHjx7KaQF1F/j0QkZNzz8afpgp/YNa0Xvud/IcG7renTpxdelbJH+feGG2MOWWsLOZ0jpBhjigPDrLXvP7vdH8BaO+a5feYBu621q5/dPgOUtdZefXa7JtDJWvuvfkD8qtksIiL/25NH/myYvJ+R87tx5vIv1C3RmV59ulO0RkbN5tfM5v98xNNaewxI+twDXwAKhcRVbSOSnTt3Oh1BRKKAGw98abpoP6evPcI1URo8spVkZL8udCyb2eloEjoOAFmMMRl4enGghkDjF/bZBHQ2xqzh6Wm49/+vdD7TiP9xmq2IiLydR3f92DTtMHev+pE8QToKZylPj/4d8ayYzulo4dq/+TiV1UBZILExxhsYaq1dFNrBRESiukt3fKg3dRuXrt7ENVFqEpb7iJE1c9G0eHqno0kosdYGGmM6A9t5+nEqi621J4wx7Z+tzwW28vSjVM7y9Oyjlv93/2dvh6kAtAvr7CIiUcH9mz4s+/hrbl2/Q7L4aahXsjNlG2cjV6lUTkcL9/6xeFprG/3Devq3DWGtjfKHpF/n35wKLSKRz+/XH1Jv0mZOLOoL1pKm7VwmNShArQKpnY4mocxau5Wn5fL5bXOf+38LdHrNfX2ARKEaUEQkirp9+RGLR2xjwpruRIvmwuAGi6jYOg9ZCiVzOlqE4Pilltzd3bl9+7YK1itYa7l9+zbu7u5ORxGRMHTU+x41Rn3K8XndCXp0l+TVezCvWRGVThEREYdcP/+A2QM/Z/TKjjzyvU/Tcn2o2im/Sud/4PgHy6ROnRpvb29u3rzpdJRwyd3dndSp9c2mSFSx99xtmoxbx/kVA8AGk67ZOFb2a8g7mRM7HU1ERCRK8j5zl7nD1jPtiz4YA73qTqXDsNqkzJLA6WgRiuPF09XVlQwZMjgdQ0TEcd+cvk6HFb9wZfcnGJfoZGo2hjV961AgrQabiIiIE87/epPtC06w8adFuEZ3o3e9KbQZWo2k6eI6HS3Ccbx4iogIbPr1Cj3WHCbIQuIqPYgfPYBPe1UnW/I4TkcTERGJks7su8aupSfBQvP3+hMtZiAtBr1PwpSxnI4WITn+Hk8Rkahu1b6LtBk+iyurBxDs70va5InY7FVTpVNERMQhx3Z7M2HwHGZs7oN/oB/JUiehzYjKKp1vQcVTRMRB8777g64jpnLzi7EEB/iRIWEMPmv/DukSabCJiIg44dC2C4wbNo3Fuz4mIMifuEndqN3bk7iJYzodLULTqbYiIg6w1jJxxxnGTJjC3a/n454uH2U7j2dlh7IkjOXmdDwREZEox1rL3i/+YOKEyWz4eQ7ZUxdiwEeTqderGO6xXJ2OF+GpeIqIhLHgYMvQTSeYNWsmd7+eT8wsxajcdQxL25QgjrsGm4iISFgLDrbsWX2G6bOm8fnPc8mfoRQDOkygZpeCuLmrMoUE/S6KiIShgKBg+n52lM8PXyZmBk8CC9agdgcv5jYrgruri9PxREREopygoGC+XnqK3w9cJ1eaotx7dJPuHw2gSvt8RNdsDjF6j6eISBjxDQii3fIDfLJiBdZaXBOmonmvYSxoUVSlU0RExAGB/kF8Oeswq1atxFpL8gRp6d99OFU75lfpDGE64ikiEgYe+wXSavHPfDltAD5nfsDFIx6tG37AyJq5cYlmnI4nIiIS5fg/CWTjjIOMmtOHXy/8QFyPRNRtXI1SDbJiNJtDnIqniEgou+fjT5N53/P1jH74nj9Egndb0b1FXbwqZccYDTYREZGw9uSRP59N/JlRC3ty5vIv1HmnI43bfEDRGhk1m0OJiqeISCi68cCXhjO/4ac5ffDzPkXCSl0Y0bcrnd7N7HQ0ERGRKOnRXT9Wj9vD6CXd+PPmGZqU7UOP/p3wrJjO6WiRmoqniEgouXTHhyaL9nHm+K/4X/+DxDX6MtmrPU2Lp3c6moiISJR0/+YTNk07zNHjR7hy5zytKwyh+6A25CqVyulokZ6Kp4hIKDh74yGN5/zAjSfBuKfNS9qOS5jSvBS1CqR2OpqIiEiUdPvyI9ZP3kfAY0P21AUZ2WQVtTq9Q5ZCyZyOFiXoqrYiIiHsmPd9aoz6jMNTW/H49A+4RY/GgrbvqXSKiIg45Pr5B8wZ9AUDFjTh1/M/4OIajfo9S6l0hiEd8RQRCUH7zt3mw/HrOL9iAAQHEztJKpa2KMw7mRM7HU1ERCRK8j5zl7nD1jPtiz4YA8kSp6JG13ykzJLA6WhRioqniEgI+fb0DZqPXcHlNUMwru5kajWBNX3rUCCtBpuIiIgTzh+9xezhq5n1ZX/c3WLRq94UPhpajaTp4jodLcpR8RQRCQGbf71C53nb8V41EJfYCcjRajyf9q5JtuRxnI4mIiISJf22/xqrp+1i2qY+JIiVhL6NptJycCUSpozldLQoScVTROQtrdl/kf6fH4M4SYhfuimZi1Xk0x6VSZdIg01ERMQJx7/z5rs1v5EodgpqFG7Nu0Wr0HTge8RNHNPpaFGWLi4kIvIWFuw5R+eR0/G7fg5jDJ5VPmRTn2oqnSIiIg45tO0C44fP5Mrt8xhjqFOpGS2GlVfpdJiKp4jIG7DWMmnHGfqNHM/tLydxf+968qSKx7p2xUkez93peCIiIlGOtZafPz/LmBET+OTbcez6dS1J08elVk9PYsWL4XS8KE+n2oqI/EfBwZZhm44zffJ47n+/gphZilGp4zCWtilKHHdXp+OJiIhEOTbYsnv1GSZMGcNXh5aTP0MpercZQc0u+XFzV+UJD/SnICLyHwQGBdPn019ZPHkkDw58Tqxc71Kn+8fMa14Ud1cXp+OJiIhEOUFBwexcfIJx04ex+/gGimWrRP9Oo6jSPh/RNZvDDRVPEZF/yTcgiK6rD7P92GX8b/1JHM9qNO0xlCkNPXGLrncuiIiIhLVA/yC2LzjO70eucvXuBd7NU4d+XYdSvmUuXFw0m8MTFU8RkX/hsV8grZf8zI+nr+DiHpuktQfTqHhGRtXKg0s043Q8ERGRKMffN5CN0w9y4dQNPGLEpn3lUeQvm54yjbJhNJvDHRVPEZF/cM/Hn6bzv2fX9H4E+z4geZOJtHsvG/0rZ8cYDTYREZGw5vsogE8n/czohT3x9fehR81pFK2ShWIfZNRsDqd0/FlE5H+48dCXOtN2sXNSV3zP/0LsfJXoWzmnSqeIiIhDHt/z45OPv2PYnI6cuXyYkjmrUbJOVorXyqTZHI7piKeIyGtcuuND/Wnb+WVeH/xv/kniGn2Z7NWepsXTOx1NREQkSrp/8wmfjPqasSu6c+3un7SuMIRuA9uQu3Qqp6PJP1DxFBF5hbM3HtJk4X6OrhxDwO1LJK87mNlerahVILXT0URERKKk21cesWnaEWavH8HN+5fpUGUUXYY0I2vh5E5Hk39BxVNE5AXHL9+n2eL93HnsT8IK7TGP77CoXxMq5tJgExERccL1Cw/YPOMIfo8DqV+yK48D7tFpSEPS503sdDT5l/QeTxGR5+w/f4daI1dxdtMsrA0mbpKUrBnSQqVTRETEIZfP3GVG/3Ws3jUTay0pk6ah+6gPVTojGBVPEZFnvj1zg7ojlnFuaR98Tv9ArMBHrGxTlBKZNdhERESccP7oLaYOWMHkDd05fO47/MwDavYoQKpsCZyOJv+RTrUVEQG+PHqFtmOWcG39x7jETkCOVuNZ17sq2ZPHdTqaiIhIlPTb/mtMH7Gc+duHkCBWEvo2mkqLwRVIlDK209HkDfzjEU9jzGJjzA1jzPHntk0wxpw2xhw1xnxujIkfqilFRELRmv0XaT1iLlc/HUb0+MnJ32E6m7xqqXSKI4wxlYwxZ4wxZ40xXq9YN8aY6c/WjxpjPJ9bi2+M+ezZjD5ljCketulFRELG8e+8mTB4HnO/GkjSeKkZ3GIOH42sotIZgf2bU22XApVe2LYTyG2tzQv8BvQP4VwiImFiwZ5zeG04Bq7uxEiVg2JdprGpb1XSJ47ldDSJgowxLsAsoDKQE2hkjMn5wm6VgSzPfrUF5jy3Ng3YZq3NDuQDToV6aBGREHZo2wW+W/0bMVxjkil5boZ9NJeWwysQN3FMp6PJW/jHU22ttXuMMelf2LbjuZt7gbohnEtEJFRZa5m88zcmrd2FW5L0xEyXj8LFS7GsVRESxY7hdDyJuooAZ6215wCMMWuAmsDJ5/apCSy31lpg77OjnCmAx0BpoAWAtdYf8A/D7CIib8Vay94v/mDzqt2kSpSRHKkLUbrEu9Tokh/32K5Ox5O3FBIXF2oFfPW6RWNMW2PMQWPMwZs3b4bA04mIvJ3gYMvQjcf5+ONRXF3cmScXjlAkQ0JWty2m0ilOSwVceu6297Nt/2afjMBNYIkx5rAxZqEx5pWH7jWbRSS8scGW3avOMHLUSMZ+1pbfrhwhVbb4fNCjgEpnJPFWxdMYMxAIBFa+bh9r7XxrbSFrbaEkSZK8zdOJiLy1wKBgeq07wrQxw7j3/SfEyvUulcq/y/JWRYjjrsEmjjOv2Gb/5T7RAU9gjrW2AE+PgL70HlHQbBaR8CUoKJjti44zYuxAvjq0nKLZ3qdchbJU65wPN3ddCzWyeOM/SWNMc6AaUO7Z6T4iIuGab0AQnVceZO2UITw6uoM4ntVo2mMoUxp64hZdny4l4YI3kOa526mBK/9yHwt4W2v3Pdv+Ga8pniIi4UWgfxBb5x5h9KyB7PttO2Vz18ar2zDKt8yFi4tmc2TyRn+axphKQD+ghrXWJ2QjiYiEvMd+gbRedoBNW77i0dEdxCvegI4DRjG9cUGVTglPDgBZjDEZjDFuQENg0wv7bAKaPbu6bTHgvrX2qrX2GnDJGJPt2X7l+Pt7Q0VEwhV/30C+nPkrX27Zwr7ftlOlYHOGeo2iYqvcKp2R0D8e8TTGrAbKAomNMd7AUJ5exTYGsNMYA7DXWts+FHOKiLyxez7+tFx6gMMX7+GRqTDJPpxAt8ZV8aqcnWf/homEC9baQGNMZ2A74AIsttaeMMa0f7Y+F9gKVAHOAj5Ay+ceoguw8llpPffCmohIuOH7KIDNM45w48+H5MtQkp41p1O3RRWK1cyo2RxJ/Zur2jZ6xeZFoZBFRCTE3XjoS6OZ3/DzomHEK9GIGCmyMrj1B3Qsm0mDTcIla+1WnpbL57fNfe7/LdDpNfc9AhQKzXwiIm/r8T0/Vo39nqmrBlK9cEvSJMnKhx1q4Pl+OqejSSjSMWwRibS87/rwwcSv+GFaV56c/4XABzcZWTMXnd7NrNIpIiLigPs3n7Bk2E6GL2zPmcu/cOfxDco0zqbSGQXoMlEiEimdvfGI+pO/5NiCPgQ9uEHyOoOZ3b81tQqkdjqaiIhIlHT7yiOWjNzO+NXduP/4Nh2qjKLLkGZkLZzc6WgSBlQ8RSTSOX75Pg2nbuX0/O4E+z4kVcORLPJqRsVcGmwiIiJOuH7hAUtHbWfcms74+j+ma80JdBrSkPR5EzsdTcKIiqeIRCr7z9+h9dIDPMQD93R5SVK0Biv6NaJEZg02ERERJ1w+c5cts4/iTlyypsxPhYL1aD+0DqmyJXA6moQhFU8RiTR2n7lB8/GrCY6ZCJfYCchUpw9LWxamQFoNNhERESdcOHqLOSPWkSBWcuLEjE+bagOp3iU/ydLHdTqahDFdXEhEIoUtR6/y4fAFXPrEi9s7Z5MkTgzWtium0ikiIuKQ3w5cY9KAxUzZ2JNPf5iBRzw3avXyVOmMonTEU0QivLUHLtJ17AJubByLa4JU5KrTg0/bFSd94lhORxMREYmSju+5zNRRC1i6axTJE6SjZfVe1O5dkHhJYjodTRyi4ikiEdrC78/hNW4Wt7dOxS15Fop2GM/arhVIEU+DTURExAm/bP+TyWNmsWrPJDIkzUH/llNp1K8UseLHcDqaOEjFU0QiJGstU3b+xrSdp3iw9zPc0+ahTOdxrGxflkSxNdhERETCmrWWvV+cY9/W39n16xqypfJkQJtJ1OtVHPfYrk7HE4epeIpIhBMcbBm++QRLfzyHcXElWcNRFMmWmiUflSCuuwabiIhIWLPBlt2rz3D8u0u4urjRtdoksuRJQ82uhXBzV+UQFU8RiWACg4Lp89mvLJ78MYH3b5C4Rh/KFczKnA8LEtPNxel4IiIiUU5QUDA7F59g/IzhPHxyj2bveZGveDbeb5OL6JrN8oyuaisiEYZfYBDtPznAwtFePNi/AZdY8amWNyXzmxZS6RQREXFAYEAQW2YfYdjEPnx7bD1xYsYnS6FkVGqXW6VT/kZHPEUkQnjsF0ibJXvZNG0APqe/J27xBnTo1Z9RtfLiEs04HU9ERCTK8fcNZOP0g4ya25dfz39PlYLN6d3Di7KNsmE0m+UFKp4iEu7d9wmgxdL97Jg5CJ/T3xO/bEv69OlD/8rZMUaDTUREJKz5Pgpg84wjjFnYj1/Pf0+d4h3p1acHxT7IpNksr6TiKSLh2s2HfjRdtI/T1x4Sx7Mq7unyMqJvVzqW1WATERFxwuN7fmyafoQ7Vx5TJlctcqYpSg+vjhSslN7paBKO6T2eIhJued/1oebErRzc+QUA7qlzMmVITzq9m1mlU0RExAH3bz5hybCdbNv9BQCZU+XFa3hXlU75RzriKSLh0tkbj6g/+UuOLehD0IMbxMqQjymtylHbM7XT0URERKKk21cesWTkdsav7sb9x7fJnqYgtTuWJFvR5E5HkwhAxVNEwp3jl+/TYMLnnFnSj2Dfh6RsMJL5Hd7n/VwabCIiIk64fuEBC0ZsZvKnPfH1f0yX6uNp2KssGfImdjqaRBAqniISrhy4cIfGY9dxbkV/CA4mXbNxrOjXiBKZNdhERESccPnMXeYOX8+0L/pgLfSqM5X2Q+uQKlsCp6NJBKLiKSLhxu4zN2i/4hB3/jyFMS5kbDmONf3q4ZlWg01ERMQJF47eYtv845z1PkF0Fzd61p3ER0NrkCx9XKejSQSj4iki4cKWo1fpuvxHgqLHJE6+iqQtVI5VHcuSI4UGm4iIiBN+O3CNL+cdJEZ0D0rmrE4pz8o06PsOiVLGdjqaREC6qq2IOG7dgUu0Gj6bC7Na4nflDKnix+TzbuVUOkVERBxyfM9lxg+ay+AVjfnz5hniJnbnw4GlVDrljemIp4g4auH35/AaN4vbW6filjwzWbJkZm2H4qSIF9PpaCIiIlHSL9v/ZPKYWazaM4n0SbOTJUtmavcuSKz4MZyOJhGYiqeIOMJay5RdvzNqwhTu7JyLe7q8lOk0npUdypIotgabiIhIWLPWsnfjOSZNmMz6n2aTPXVBBrSZTL1exXGP7ep0PIngVDxFJMwFB1tGfHmSOZ98yp2dc4mZpRiVu4xhyUcliOuuwSYiIhLWbLBlz5rfWLV8Het/mk2+DKUY2H48NbsWws1dlUHenr6KRCRMBQYF02/9Mdb/4o17Bk8SVuhA1XpNmNe8KDHdXJyOJyIiEuUEBQXzzbJT/Lb/OrnSFqNByW40rt+MKu3yEV2zWUKILi4kImHGLzCIDisOsGjqGAIf3MJEc6FhizYsbFlMpVNERMQBgQFBbJnzKxNnjub+49u4RHOhVYuPqNoxv0qnhCgd8RSRMOHjH0ibJXvZOHUAPqe/J5pHPD5q34nRtfPgEs04HU9ERCTK8fcNZOOMg4ye05cj578nfqzEdOjQkTINs2I0myWEqXiKSKi77xNA0/l72DXDiyfnDhK/bAt69ejGgCo5MEaDTUREJKz5Pg7g00l7Gb2gJ6e9D1K7eAe69+xKsQ8yajZLqFDxFJFQdfOhH41mfcMPs/vid+kECd/vzPC+Xen0bmYNNhEREQc8vu/H6rHfM2ZJd87fOMWHZXrTw6sTBSuldzqaRGIqniISarzv+tB00X7OXnuADfAlcfXeTPTqSPN30jsdTUREJEp6cOsJG6ce5vbVh/gH+dGq/CC6D2pL7tKpnI4mkZyKp4iEirM3HtFgylZuBbji4h6bVM0nM6FeAeoUTO10NBERkSjpzpXHLPt4JybAndju8ehXZw4VW+Uma5HkTkeTKEBXtRWREHf88n1qjv6MX+d05fZX03FzicacpoVVOkVERBxy488HzBm0kZGftGPNnqm4RI9G1Y75VTolzOiIp4iEqAMX7tB47DrOrxiADQ4iSfFaLG5RmJJZEjsdTUREJEq6/Ntd5g5fz7TP+2AtlPesS/Uu+UiVLYHT0SQK+ccjnsaYxcaYG8aY489tS2iM2WmM+f3Zf/VVKyLsPnODuiOWcW5ZHzCGTC0n8NngpiqdIv+BMaaSMeaMMeasMcbrFevGGDP92fpRY4znc2sXjDHHjDFHjDEHwza5iIRHF47dYuqAlUz6rDsu0Vzp13AGXUbXV+mUMPdvTrVdClR6YZsX8LW1Ngvw9bPbIhKFbTl6lTZLfuby+rFEc49NjrZT2TioIQXTabCJ/FvGGBdgFlAZyAk0MsbkfGG3ykCWZ7/aAnNeWH/XWpvfWlsotPOKSPj2+4HrbJp5iIXbRhDbPT4Dmsymw8cfkCxDXKejSRT0j6faWmv3GGPSv7C5JlD22f8vA3YD/UIymIhEHOsOXMJrw1GCiU6SWgNInTIl63pWIUPiWE5HE4loigBnrbXnAIwxa3g6c08+t09NYLm11gJ7jTHxjTEprLVXwz6uiIRXJ76/zO5VZ3Axrnz0/nDSpElNs4HliJfEw+loEkW96cWFkv3fgHv236Sv29EY09YYc9AYc/DmzZtv+HQiEl4t/P4cHUdM486PawDIkScfG/tWU+kUeTOpgEvP3fZ+tu3f7mOBHcaYQ8aYtq97Es1mkcjtlx1/MnbIdHb8shqA/Hk9aTm0okqnOCrUr2prrZ1vrS1krS2UJEmS0H46EQkj1lom7/yNfiMncvvLSfj+eZQcyTz4tF1xUsaP6XQ8kYjKvGKb/Q/7lLDWevL0dNxOxpjSr3oSzWaRyMlay94v/mDM8Ams2D2e364cJlHqmNTqVYDYCWI4HU+iuDe9qu31/zutxxiTArgRkqFEJHwLDrYM33yC6ZMncG/PcmJmLkKlrmNZ+lFJ4rq7Oh1PJCLzBtI8dzs1cOXf7mOt/b//3jDGfM7TU3f3hFpaEQk3bLDluzVnmDhlHFsOLiVf+pIMaD+BD7oWwi2mPshCnPemRzw3Ac2f/X9zYGPIxBGR8C4wKJg+nx1l6tgR3NuznFg5y1KnzxRWtiut0iny9g4AWYwxGYwxbkBDns7c520Cmj27um0x4P6zHwTHMsbEATDGxAIqAscRkUgvKCiYXctOMmr8ULYcXErRrBUZ3mMqtXsUVumUcOMfvxKNMat5eiGhxMYYb2AoMBZYZ4xpDVwE6oVmSBEJH/wCg+i6+jDbT1zHNWFqYheoStMew5jayBO36KF+5r5IpGetDTTGdAa2Ay7AYmvtCWNM+2frc4GtQBXgLOADtHx292TA58YYeDrfV1lrt4XxSxCRMBYYEMT2BSe4cPQWSeOnoWzuWvTrMowKrXPj4qLZLOGHeXpRvLBRqFAhe/CgPlZMJCLy8Q/koyX7+ObHfcRImQ2ABoXSMLp2HlyiveotZyKhzxhzSB8b8nY0m0UiLn/fQDbOOMSBnw+RLml2AHKVSknpRtmIptksDnndbNaPQUTkH933CaDR7D18PqEH11Z5EfjgJm1KZmBsHZVOERERJ/g+DuDTCXsZOr0LUzf35N7jWxSomJYyjVU6JXzSSd8i8j/dfOhHo1nf8MPsvvhdOkHC9zvRr04JOr+XmWen9ImIiEgYenzfjzXjfmDMku6cu36SRqV7UOnDIhSslN7paCKvpeIpIq/lfdeHBtN3cnBub/xvnCdx9d5M6NeBFiUyOB1NREQkSnpw6wmfjP6GsZ905+qdC7QsP4geAz8id5nUTkcT+Z9UPEXklf64+YimC/dx6psNBNy6SLLag5jl1YY6BTXYREREnHDn6mM2TTvCV99/yvV7l2hX+WO6Dm5OtqLJnY4m8o9UPEXkJccv36fZon3c8QkgbrG6xM1WnHldP6BSbg02ERERJ9z48wGbph3BzyeQ9wt8SMEsZWnhVY0MeRM7HU3kX9HFhUTkbw5euEOtUWs4Mbczgfev4+Hmyoo+dVQ6RUREHHLl97vMGPApH69oy52H14kR042PhtZU6ZQIRUc8ReQv3/12k2ZjV+K9ejAmuhse0QJZ0aYoBdMlcDqaiIhIlHTh2C1mDV/DrM39ieEaE+MWRM3uBUiWIa7T0UT+ExVPEQFg67GrfDR2KVc/G4mLRzyytxrPut41yZFCg01ERMQJvx+8zozhy5m3bQjxPBLRp9FUWg2uRKJUsZ2OJvKfqXiKCOsOXKLb1FVcWzsU1wQpyPfRRNb1rEKGxLGcjiYiIhIlnfj+MvMmrGHO1oEki5+Gfk2n0mxgOeIl8XA6msgbUfEUieIW/XCekV+exDVpRmLnfo/8tTuwtmtFUsaP6XQ0ERGRKOnwjov8tOEsaRNloUjWirSo2Y1G/UoTO0EMp6OJvDFdXEgkirLWMmXnb3hNnE9wgC/RYnhQutVAvuhZSaVTRETEAdZa9m78g5kTFuEf6EfMGLHp3mwoTQaVUemUCE/FUyQKCg62jPjyJCM+HsWtjWN5cOALCqdPwOq2xUgUW4NNREQkrNlgy57VZ/j4449ZvGsE3x3fQMos8anZvQAxY7s5HU/krelUW5EoJjAomH7rj7Jw8ige7PuMWDnLUr1JB+a3KEpMNxen44mIiEQ5wUHB7Fp2knHThvPN0c8omrUiLRu3p2r7fETXbJZIQsVTJArxCwyi66pDrJoylEdHthG7QBWa9hjO1EaeuEXXCRAiIiJhLTAgiK/mH2XMzIH8fPoryuSuhVeXYVRonRsXF81miTxUPEWiCB//QNp9cohvD53G57e9xC1Wj3Y9BzKmTl5cohmn44mIiEQ5/r6BfDX3GEcPnObYhZ+o7NmUPj36U6ZxdqJpNksko+IpEgXcfxJA8wU/cvjyI6LHTUzKVjNp934BBlbNgTEabCIiImHN93EAn089wO2LT0gYJxkD6y+idM18FK+VSbNZIiUdvxeJ5G498qPu9K/ZNrEL9/YsA6DPB0VUOkVERBzy+L4fq0bvYfDMdmw5uBSACo0K8k7tzJrNEmmpeIpEYpfvPeGDSdvYM7UrfpdP4ZYkA8Oq56RruSwabCIiIg54cOsJS4fvYuj89ly4cZqUCTNSumFWClZK73Q0kVClU21FIqlzNx9Rb9IWji3sQ+D96ySrPYhZXm2oUzC109FERESipDtXH7Nk5HYmrO7OnUc3aFf5Y7oObk62osmdjiYS6lQ8RSKhE1fu03T+jxxb0IugR3dI2WAEC72aUym3BpuIiIgTbvz5gA2TDzB2ZRce+d6na/UJdBrakAz5kjgdTSRMqHiKRDKH/rxDiyUHeOhriV+qKbESJWeF14eUzJLY6WgiIiJR0pXf7/LlrKME+RmqF25FiiRp6TC0DqmzJ3Q6mkiYUfEUiUS+//0mTces4vHd68TKVoIU+cuypGURCqZL4HQ0ERGRKOnCsVvMHr6W+4/ukDd9Cd7JW4FqXfKRPEM8p6OJhCkVT5FIYtvxq7QZs4wrn43AJXYi0uYvxScfFSdnyrhORxMREYmSfj94nRnDlzNv2xASxUlO4dylqNXDk0SpYjsdTSTMqXiKRAKfHrxEl7ELuP7FWFwTpCDfRxNY16k0GRLHcjqaiIhIlHTi+8tMG7WIJTs/Jln8NPRtMpV6/YoQL4mH09FEHKHiKRLBLf7hPP3Gz+bWl5NxS56JIu0msKZbRVLFj+l0NBERkSjplx1/MnXsHFbunkDaJNkY0GIqjbzKEDtBDKejiThGxVMkgrLWMv3rs0zZ9Rv+N84TI01uSnccz6pOZUkcW4NNREQkrFlr2bfxHIe2/cnl23+QJWV+BrSeTL0+xYkZ283peCKOUvEUiYCCgy0fbznFgh2HcYkVn/hlWuCZKjZLPypBvJiuTscTERGJcmyw5bs1Z9i7/QRxYiagVrH2JM0Ymw+6FsQtpr7lFonmdAAR+W8Cg4Lp+9mvTBo1lCuLOxP48BalsyZhZfuSKp0iIiIOCAoKZufSE4wcN5gxn7Xl/uPbpM+TmNo9Cql0ijyjvwkiEYhfYBBdVx1i1ZShPDqyjdgFqlCtaE6mNfYkRnQXp+OJiIhEOYEBQWydd5Sxswby8+mvKJO7FgVKZaNiq9y4RNcxHpH/o+IpEkH4+Afy0ZJ9fDFtID6nviNusXp81GMAY+vkJbqLBpuIiEhY8/cNZOOMXxgzty+Hz31HJc8m9OkxgLKNsxMtmnE6nki4ouIpEgHcfxJAq6UH+HrVHHxOfUf8Mi3o0asPg6rm0GATERFxgO/jAL6c+SuL183g8LnvqFWsHb1796Z47UwYo9ks8iIVT5Fw7tYjP5ot2s/Jqw+IW7gWronTMqhTS7qWy6zBJiIi4oDH9/3YNO0Id648pkL+hqRJnIV2PZrh+X46zWaR19D5eSLh2OV7T/hg0ja+X/wxwX4+RHNzZ3zvj+hWPosGm4iIiAMe3HrC0uG7mLl6BH4BT4jhGpMu/VtRsFJ6zWaR/0HFUyScOnfzETXGbmL/jK48OvEtATfOMbFePlqWyOB0NBERkSjpztXHLBjyFSOXdODA2a+5cvcc5VvmJE/Z1E5HEwn33qp4GmN6GGNOGGOOG2NWG2PcQyqYSFR24sp9ao7ZwNG53Qh8eJNUDUeypH8z6hbUYBOJ7IwxlYwxZ4wxZ40xXq9YN8aY6c/WjxpjPF9YdzHGHDbGfBl2qUUivxt/PmDuwI2M+qQD933u0KX6ODoOaUi2osmdjiYSIbxx8TTGpAK6AoWstbkBF6BhSAUTiaoO/XmHDz5ew6kFPQj28yFtkzGsHtqKSrlTOB1NREKZMcYFmAVUBnICjYwxOV/YrTKQ5dmvtsCcF9a7AadCOapIlHLl97vMGriesWs6ExDoR8/aU+g+uikZ8ydxOppIhPG2p9pGB2IaY6IDHsCVt48kEnXt+e0mTRbuxyc4Oi5xEpGp5QTWD2lKqSwabCJRRBHgrLX2nLXWH1gD1Hxhn5rAcvvUXiC+MSYFgDEmNVAVWBiWoUUiswvHbrFp+q+YIFcSxk5K3wYz6DK6PmmyJ3Q6mkiE8sbF01p7GZgIXASuAvettTtCKphIVPPVsas0mfgZPv4BuMZPTu4OM/liUCMKptNgE4lCUgGXnrvt/Wzbv91nKtAXCA6lfCJRyu8Hr7Po400E+geRJF5KhjRfQMdRtUieIZ7T0UQinLc51TYBT3/qmgFICcQyxjR5xX5tjTEHjTEHb968+eZJRSKxdQcv0XL4HC4t7saDfetJGc+dT9u/Q86UcZ2OJiJh61WXxLT/Zh9jTDXghrX20D8+iWazyD868f1lJgyax9jP2vPN0U+Jk9Cd2n0KkihVbKejiURIb3OqbXngvLX2prU2ANgAvPPiTtba+dbaQtbaQkmS6HRBkRct/uE8nUZM5/qGUbglSU/ud2vxaYd3yJhEg00kCvIG0jx3OzUvv43ldfuUAGoYYy7w9BTd94wxK171JJrNIv/b4R0XGTd0Bot2DCd14sxUKl2L2n08iZ/Uw+loIhHW2xTPi0AxY4yHefqhReXQxQxE/jVrLVN3/UafkRO5tXkSMdLkonT36XzeqxKp4sd0Op6IOOMAkMUYk8EY48bTi/ZtemGfTUCzZ1e3LcbTt7pctdb2t9amttamf3a/b6y1L52JJCKvZ61l78Y/GD1iAp98O44sKfMzvP0cmg5+l9gJ9OENIm8j+pve0Vq7zxjzGfALEAgcBuaHVDCRyCw42PLxllPM/2ofd75eQMzMhXm/81iWti1JvJiuTscTEYdYawONMZ2B7Ty9Wvxia+0JY0z7Z+tzga1AFeAs4AO0dCqvSGRigy3fr/2Nbzcf5Iuf55E3/TsMaDeRWt0K4xbzjb9lFpFnjLUvvnUk9BQqVMgePHgwzJ5PJDwKDAqm/4ZjfHrIGwC/K2d4r0RRFrQsioebBpvIf2GMOWStLeR0johMs1kEgoOC+Xr5KX7bdx2AC9dPUbJsMap2yE90NxeH04lELK+bzW/7cSoi8h/4BQbReeUh5o0dyKPj3wDwQcUyLG5dTKVTRETEAYEBQWyZ+yvDJ3hx8OzT2Vy+ahmqdSqg0ikSgvSdrkgY8fEP5KMl+/hi+kB8Tn5H3OKxqFcwNWNq5yG6i34GJCIiEtb8fQPZOOMXxs7txy/ndhM3ZgJylkpJmUbZiBbtVReQFpE3peIpEgbuPwmg+fwf2DGjH0/+OED8Ms3p0asvg6rm0GATERFxgO/jANZP3sfoBb04eWk/HxRrR5/evSleOxNPr5spIiFJxVMklN165EeT+T+xe1o3/C4eJ2HFjgzp052u5TJrsImIiDjg8X0/Pp98gGHzO3Lu2nEal+5Jz/5d8Hw/nWazSChR8RQJRZfvPaHpwn2cu+WDe9q8xMn3PuP6dqRVyQxORxMREYmSHtx6wqZpR7h/05+sKfNTJvcHdB/YljxlUzsdTSRSU/EUCSXnbj6i/uQtXLl2HbdkmUhYshHj6uSlXqE0/3xnERERCXF3rj5m6cgd3Lx5i9SJMlGtaEvKNc9BtqLJnY4mEumpeIqEghNX7tNw4kZOL+6LBdK3n8eMxkWonCeF09FERESipJsXH7Jg+GYmreuJS7ToDPlwKZXb5iNj/iRORxOJElQ8RULYoT/v0HDcp5z/ZAA2MIA0jUayuNU7lM6qwSYiIuKEK7/fY96wDUz5vDfWBtPlg/HU7OpJmuwJnY4mEmWoeIqEoO9/v0nTsau4tGowJrorGVtOYE2/ehRMp8EmIiLihD+P32bW8LXM3NSPGK7u9KwzlY+G1SR5hnhORxOJUlQ8RULItuNX6br6CDf3fk60GB5kbzWONb0/IFdKDTYREREn/H7wOrsWn2TXL+uI5R6Xvg2n0mpIZRKliu10NJEoR8VTJAR8evASfT89jDUuJK7cjSSuAazrWYWMSTTYREREnHDyhyt8/ckJohkXmpbti0usIJoNKkf8pB5ORxOJkqI5HUAkolv8w3k6jpjBleW9CfJ9RKbkCdjYr7pKp4iIiEMO77zIuCEzmPRFV574PSJZmoS0Gl5BpVPEQSqeIm/IWsu0Xb/TZ+REbm2eiHGNQfYU8Vjbrjip4sd0Op6IiEiUY61l36ZzjBk+keXfjiVG9JgkTRuPWr08iZ3A3el4IlGaTrUVeQPWWj7ecorJEydw77ulxMxUmIpdxrGsbUnixXR1Op6IiEiUY4Mte9b+xsQp4/nywGLypn+H/m0nUKt7EWLE1Le8Ik7T30KR/ygo2NJ/w1EWzpnFve+W4pGjNB90G82ClkXxcNNfKRERkbAWHBTMN5+cZta86Xx5YDGFs5Snf8cxVOtYAFc3F6fjiQgqniL/iV9gED3WHmHrsWt4ZCtB8JMHNGjfk+mNCxIjugabiIhIWAsKCGb7wuOc//UWnhnL4Ov/mK7t+lCxVW5coutdZSLhhf42ivxLPv6BtF68j7XLFmGDg4geNzFtevRn1oeFVDpFREQc4O8byOfTDrJs1SKCbTAJ4ySjb4+BvN8mj0qnSDijI54i/8L9JwG0WPAD22d48eTsfqLHS0bHZnUZXDUn0aIZp+OJiIhEOb6PA1g/eR+jF/Ti5KX9JImXikYta/NO7UwYo9ksEt6oeIr8g1uP/Gg8azd7ZvfF7+IxElbsSP92jehWLosGm4iIiAMe3/dj7fgfGbOkB39cPUaj0j1p0ak+BSul02wWCadUPEX+hyv3ntBg2g72z+uD/7U/SFStJ+P6daJ1yQxORxMREYmSHtx+wsrRuxmzvDuX7/xBi3ID6TGoHXnKpnY6moj8DyqeIq9x7uYjmi7az7mzZwm8e5VktQcy3esj6hdK43Q0ERGRKOnutcdsmnaE3//4ndsPr9Ku0ki6DW5BtmIpnI4mIv9AxVPkFU5eecCHc77lbkB0YqTKTvpOS5jZvASV82iwiYiIOOHmxYesm/QT+LmSKXluRjZbxQcdi5IxfxKno4nIv6DLfYm84NCfd/hg1BqOTW3Fo6M7cHeNxuK2ZVQ6RUREHHLl7D1mDviMAQs/ZP9vO4kew4V6Pd9R6RSJQHTEU+Q53/9+k6ZjV3Np9WCMS3QSpM/JitZFKZQ+odPRREREoqQ/T9xm9rC1zNzshVv0GGROk4Oa3fKTPGM8p6OJyH+g4inyzLbj12gzdjlXPh2GS8y4ZGs5jrV9PiBXSg02ERERJ5w9dIMZIz5h7tZBxPVISJ+GU2k1uDKJU8d2OpqI/EcqniLAZ4e86bl4F1fWDiZ6vOTkaTOedb2qkimJBpuIiIgTTv54hfWzdzN7S3+SxEuN14dTaTaoPPGTejgdTUTegIqnRHlLfjzP8M0niRYnCQkrdiJbkTKs61aRVPFjOh1NREQkSjqy6yI/fnaWhHGS06Bkd0oXLUdjrzLETuDudDQReUO6uJBEWdZapn/9O71HTsbX+xQAhSvW4ouelVQ6RUREHGCtZd+mc4wdMYXz108CUKNiPZoOelelUySCU/GUKMlay6gtpxg6cjR3ts/k4eEv8UwbnzUfFSNJnBhOxxMREYlybLBlz9rfGPXxKNZ+P5UfTm4mReZ41OxRgJhx3JyOJyJvSafaSpQTFGzpv/4o8yZ/zIO9n+GRozQfdB3FgpZF8XDTXwkREZGwFhwUzNfLTzF+2gh2/bqOwlnK06/DKKp1zI+rm4vT8UQkBOi7bIlS/AOD6b76Fz6ZMpRHh7cSO38lGnUfzowPCxIjugabiIhIWAsKCGbr/F8ZO3MwP53eQulcNfHqMoKKrXPjEl0n54lEFiqeEmU88Q+i/YpD7D59jWCfB8QtWoc2PQcxrk5eortosImIiIQ1f99Avpp7jD9P3uKx733eL/AhfbsPoGyTHESLZpyOJyIhSMVTooQHvgG0WPADB85cxiV2AhLX6EPLkpkYUi2nBpuIiIgDfB8HsH7yPi6dvU6cmAloXWEInhXT806dzBij2SwS2ah4SqR365EfH87ezXez+hLsc48ULabRvWJOupfPosEmIiLigMf3/Vg7/kfGLOnBE//H9K09h3c+yELByuk0m0UiKZ1fKJHalXtPqDV5G7undsHv0nHiFqvH4Bp56VEhqwabiIiIAx7cfsLyEd8wbH4Hzl0/QcX8jXi3cQ4KVUmv2SwSib1V8TTGxDfGfGaMOW2MOWWMKR5SwUTe1vlbj6k5fjP7ZnTF/8YFktUeyOwh3WhTKqPT0UREXssYU8kYc8YYc9YY4/WKdWOMmf5s/agxxvPZdndjzH5jzK/GmBPGmOFhn17kf7t77TGLh25nxOL2XLt7gXaVRtLv447kKZva6WgiEsre9lTbacA2a21dY4wb4BECmUTe2qmrD2i6aD8nP5tC4P0bpGwwnAVeLaiSJ4XT0UREXssY4wLMAioA3sABY8wma+3J53arDGR59qsoMOfZf/2A96y1j4wxrsAPxpivrLV7w/RFiLzGzYsP2TzjCAs3j+Xe41t0rjGOzkM+JGP+JE5HE5Ew8MbF0xgTFygNtACw1voD/iETS+TNHfrzLi2X7OeBbyCJKnbC5cltlvVrTJmsGmwiEu4VAc5aa88BGGPWADWB54tnTWC5tdYCe5+dfZTCWnsVePRsH9dnv2zYRRd5vStn77Fl5q/4+wbRqHRPfALv035oHdJkT+h0NBEJI29zqm1G4CawxBhz2Biz0BgT68WdjDFtjTEHjTEHb968+RZPJ/LPfvj9FnVGfMK5DROxwUHET5SETwc3VekUkYgiFXDpudvez7b9q32MMS7GmCPADWCntXbfq55Es1nC0p8nbjO9/yqWbB9HUHAQyZIkp8uo+iqdIlHM2xTP6IAnMMdaWwB4DLz0XhRr7XxrbSFrbaEkSfTNv4Sebcev0XD4Yi6u8ML34jHi2sesbluMwuk12EQkwnjVlVVePGr52n2stUHW2vxAaqCIMSb3q55Es1nCytlDN5gyYClTvujF71d+JSi6Dx/09CR5xnhORxORMPY2xdMb8H7up6mf8bSIioS59Ye8aTliLlfWDiZ6nMTkaz+NL/pWJ3cqDTYRiVC8gTTP3U4NXPmv+1hr7wG7gUohnlDkXzr54xUmDJzHrC39SRQ3BYObz6HlsAokTh3b6Wgi4oA3Lp7W2mvAJWNMtmebyvH396CIhImlP56n/chZXFv/Ma6J01G4yww29qtOpiQabCIS4RwAshhjMjy7aF9DYNML+2wCmj27um0x4L619qoxJokxJj6AMSYmUB44HYbZRf5yZNdFJgydzcIdw0iVKBPD2syh1fCKxE+q61CKRFVve1XbLsDKZ8PxHNDy7SOJ/DvWWmZ+c5ZJO38jetwkxMzgyTtthrO603skiRPD6XgiIv+ZtTbQGNMZ2A64AIuttSeMMe2frc8FtgJVgLOAD/9/9qYAlj27Mm40YJ219suwfg0StVlr2f/leQ5uuUDC2MnImbYovZuPpn7vd4gZx83peCLiIPP0onhho1ChQvbgwYNh9nwSeVlrGb31FDNWb8U9dQ4APNPGZ0mLIsTzcHU4nYiEFWPMIWttIadzRGSazRJSbLDl+3W/sXHNDjImzwVAiszxqNopHzFivu2xDhGJKF43m9/mPZ4ijggKtvT77CjjPx7G9ZV9ePLHAUplScyKNkVVOkVERBwQHBTM18tOMnLsECZv7MqpSwdJmysR1bvmV+kUEeDtT7UVCVP+gcF0X/0Ln0wZyqPDW4mdvxI1q1VhxocFiRHdxel4IiIiUU5QQDBfLTzKmOmD+On0FkrlrEHVGpWo2Do3LtF1jENEnlLxlAjjiX8QbZfu4/NpA3l8cjdxi9ahTc9BjKuTl+guGmwiIiJhLcAviE0zDzF6Tj9++WM3FQs0pl/3gZRtkoNo0V71yT8iElWpeEqE8MA3gNZLD7Dn2294fHI38Us3o1uvvgypllODTURExAG+jwPYMutXvt79Nb/8sZuaRT+iT+8+vFMnM8ZoNovI36l4Srh3+5EfTRft4+TVh8TMUIAUrWbSu2EFepTPosEmIiLiAJ8H/mycepg7Vx6TK21R+tddQO2W5SlYOZ1ms4i8ks5PlHDtyr0nfDBlO99M6oTvn0cBGNGiMj0rZNVgExERccCD209YNuJrBs9pw9krT2dzw46VKFQlvWaziLyWjnhKuHX+1mPqT97Krwv6EHD3CjbgCePr5KV+4TRORxMREYmS7l57zLKPdzJuZTduP7yGX+ATyrXIQfZiKZyOJiLhnIqnhEunrj6g/sSNnF7cl6DH90jZYDgLvFpQJY8Gm4iIiBNuXnzIwhFfMmldTx77PqBzjXF0HvwhGQskcTqaiEQAKp4S7hz68y5Npm3l9wXdsYH+pGkymuVeTSiTVYNNRETECVfP3mPZmJ2MXdOZoOBAetSeTIeh9UiTI6HT0UQkglDxlHDlh99v8dHyg/i4xsUjeymSFarMqn71KJxeg01ERMQJf564zba5x4jlEh/PjGV517MmbYfWJHnGeE5HE5EIRMVTwo1tx6/x0bhPsLETET1eMrLU6MSyVkXInUqDTURExAlnD91g1shVJIyVjIRxktG0UndqdMtP4tRxnI4mIhGMrmor4cL6Q960HDGXy2sGcWfXPFLEc2dd++IqnSIiIg45+eMVJgycx8wv+7L+5znEThiD2r0LqnSKyBvREU9x3NIfz9Nn3BxubZmMW9IMFGgygLXti5M6gYfT0URERKKkI7suMmX0HFbsHk+aJFnpUHcgtXsXJE5Cd6ejiUgEpeIpjrHWMvObswybMJ0722cRI00uSnYcz+pO75EkTgyn44mIiEQ51lr2f3meyeOnse6H6WRNWYD+rSfRoE8JYsZxczqeiERgKp7iCGsto7eeYv7u33n063ZiZixIhS7jWN62FPE8XJ2OJyIiEuXYYMsPn/7OL7vO89PpreRJ9w4D2k2gVvcixIipbxlF5O3oXxEJc0HBlv7rj7J233lMdFeSNhhJyeypWNiyGLFi6EtSREQkrAUHBfPN8lOc+Mmb6C6udKk6gSz5U1Gtoyeubi5OxxORSEAXF5Iw5R8YTJeVh5gzZiA3NnyMDQqkSsFMLG1TXKVTRETEAUEBwWydd5RhE/qxYMdQgoKDyPtOZmp0LqjSKSIhRsVTwswT/yBaL97L8nF9eXR4C25J0lGnUDpmNfYkRnQNNhERkbAW4BfExhkHGTa5Jz+e2kKqhBnJVTIVFdvkwiW6vk0UkZCjQ0wSJh74BtBiwQ9sm96fJ2f3Eb90M7r27MPQ6rmIFs04HU9ERCTK8X0cwIap+xg9vzcnLu6jZtE29O7dlxJ1MmOMZrOIhCwVTwl1tx/50WzxfnbPGcqTs/tIWKEDA/t0p0f5LBpsIiIiDvB54M+maUeYsGQAJy/up2Gp7vTy6krByuk1m0UkVKh4Sqi6ev8JTRbu44+bj4lXrB4eWYoypk8H2pTK6HQ0ERGRKOnB7SdsmnaE+zee8H6BxhTIWIbuA9uS9900TkcTkUhMJ+9LqDl/6zE1xn3J4W1rAHBPnpGZg7uodIqIiDjk7rXHLB66nU3frAYgbdKs9P24o0qniIQ6HfGUUHHq6gPqT9zE6cV9CXp8l7jZijGj7ftUzZvC6WgiIiJR0s2LD1k0cgsT1/bgse8D8mcuScNu75KxQBKno4lIFKDiKSHul4t3aTjuM84t748N9CPNh6NZ2qUKZbMldTqaiIhIlHT17D3mDf+CKRt6ERgUQPdak2jarzxpciR0OpqIRBEqnhKifvj9Fk3Hr+biykGYaC5kbD6BVV71KZxeg01ERMQJF0/cZvbwdczY1I/oLm70rT+DdsM+IHnGeE5HE5EoRMVTQsz2E9fosuowj25cJlqMWGRtPpq1fWqRO5UGm4iIiBPOHrrBzsUnuHbbm1gx4tKrwWRaD6lC4tSxnY4mIlGMiqeEiA2/eNNz+ffgHpdYOUqRsWAZVnUoRaYkGmwiIiJOOPnjFTYv2Ets9/gUzlKOEgXLUa9XMeIn83A6mohEQbqqrby1ZT9doN3wGVyc3Qrfi8dIn8iD9V3KqHSKiIg45NevLzF+yEyGrPyQP64dJ34yDxp6vaPSKSKO0RFPeWPWWmZ9e5ah46dzZ/ssYqTOSa48eVnT/h2SxInhdDwREZEox1rLgS/PM2n8ND79YQZZUuYjb9481O7tScw4bk7HE5EoTMVT3oi1ljFfnWbChAnc270E94wFqdBlHJ+0LU08D1en44mIiEQ5Ntjy/ae/MXHyBDbvX0TudMUZ2HYitboXJoZms4g4TMVT/rOgYMvAz4+xZO0X3Nu9BI/spajRbTQLWxYjVgx9SYmIiIS14KBgvl1xmk9Xb2Dz/kUUylyOAR3HUK2TJ65uLk7HExFR8ZT/xj8wmB7rjrDl6FXcM3iSqFovatWtx8wPCxEjugabiIhIWAsKCGbn4hP8cfgmudIVo9m7XjSo35D32+TBJbou5yEi4YP+NZJ/7Yl/EG2W7OWTycMJuHMZYwzNmzZlTpPCKp0iIiIOCPALYuOMg4ybOZRbD64QzUSjeYtmVGqbV6VTRMIVHfGUf+WBbwAtF/zIVzP68+T3vbgmTMlH1UowpFpOokUzTscTERGJcvx8Alg/ZT+j5/fixMV9JE+Qjk5dilKibmaM0WwWkfDlrX8UZoxxMcYcNsZ8GRKBJPy5/ciP+jO/Yeukbjz5fS8JK7RnYJ8eDK2u0ikiEtKMMZWMMWeMMWeNMV6vWDfGmOnP1o8aYzyfbU9jjPnWGHPKGHPCGNMt7NNLWPF54M+qMT8wbHYnTl7cT8NS3enZr6tKp4iEWyFxxLMbcAqIGwKPJeHM1ftPaDB9F/vm9MH/2u8kqtqTsf060aZURqejiYhEOsYYF2AWUAHwBg4YYzZZa08+t1tlIMuzX0WBOc/+Gwj0stb+YoyJAxwyxux84b4SCTy848uK0bsZt7w7l26fpXm5AXQf0I5876VxOpqIyGu91RFPY0xqoCqwMGTiSHhy4dZj6s75mQt3/TGuMUhaqz+zhnZT6RQRCT1FgLPW2nPWWn9gDVDzhX1qAsvtU3uB+MaYFNbaq9baXwCstQ95+kPhVGEZXkLf3WuP2TDhED53AnGN7k7b94fTb2QnlU4RCffe9ojnVKAvEOd1Oxhj2gJtAdKmTfuWTydh5fS1B9SbuJn7QW5Ei+FB6g9HM62hJ1XzpnA6mohIZJYKuPTcbW+eHs38p31SAVf/b4MxJj1QANj3qifRbI6Ybl56yJKRXxE9KBbubh70qDWZ99vkJlOBpE5HExH5R298xNMYUw24Ya099L/2s9bOt9YWstYWSpIkyZs+nYShXy7epebH6zg1rxu3t07F3TUaC5sXVukUEQl9r3pznv0v+xhjYgPrge7W2gevehLN5ojn6h/3mTVgPaNWdmDldxOJ7haN6p3yq3SKSITxNkc8SwA1jDFVAHcgrjFmhbW2SchEEyf8ePYWTcat4eLKgRAtGinfbcInrYtSOH1Cp6OJiEQF3sDz50ymBq78232MMa48LZ0rrbUbQjGnhKGLJ28ze9g6ZmzqR3QXN2q804Ia3QqQIlM8p6OJiPxrb3zE01rb31qb2lqbHmgIfKPSGbFtP3GNhsOX8OfyfhhXd7K3mcLngxurdIqIhJ0DQBZjTAZjjBtP5+umF/bZBDR7dnXbYsB9a+1V8/RSpouAU9bayWEbW0LLH7/cYPKAZUz9ohcx3WIzoPEsOo2urdIpIhGOPsdTANjwize91/7CtS+n4BI7IXk+msC6ntXInDS209FERKIMa22gMaYzsB1wARZba08YY9o/W58LbAWqAGcBH6Dls7uXAJoCx4wxR55tG2Ct3RqGL0FC0KmfrrBz6TFWfDOBBLGT0q/xNFoMrkD8ZB5ORxMR+c+MtS++dST0FCpUyB48eDDMnk/+nWU/XWDophMABNy+RLqUyVjX/X1SJ9BgE5HwzRhzyFpbyOkcEZlmc/j069eX+OHT3wG4evcCqdOm4sP+ZYiT0N3hZCIi/9vrZrOOeEZh1lpmfXuWoeOnE3DHmwTvtiZPrpwsb12EpHE02ERERMKatZYDWy4wefx0bj+4Qs2ibcmTNzfVu+THI66b0/FERN6YimcUZa1lzFenmTBhIvd2L8Y9Y0Hyp4rN8jbFiefh6nQ8ERGRKMcGW3787CwTJo1n0/6F5E5XnKQZYlOzawFiaDaLSASn4hkFBQVbBn5+lDmTxvDg57V4ZC9F9W6jWNSyOLFi6EtCREQkrAUHBfPNitOMnzqSnUfWUChzOfp3HEP1jp64xnBxOp6IyFtTy4hi/AOD6bHuCJ9MHcnDA18QO29FGvQYwcwPC+HuqsEmIiIS1oICgtm5+ATjZg5l9/HPKZmzOv07j+T9NnlwcX3jDyAQEQlXVDyjkCf+QXRYeYjdZ27injoXxkSjVc9BTKibj+guGmwiIiJhLcAviK/mHePSyTtkSpEHt+ju9Ok+iPeaZCeaZrOIRCIqnlHEA98AWi74kR9++omY6fLhkbU4HVs0Yki1nESLZpyOJyIiEuX4+QSwfsp+9u3dS9ZUBSiQsQwt2jShRN3MGM1mEYlk9KO0KOD2Iz/qz/yGrZO6cWPdUALv36Dre5kZWl2lU0RExAk+D/xZPfYHhs3uxOyt/bn76AZFqmegRD2VThGJnHTEM5K7ev8JDabvZN+cvvhf+51EVboztFEZPiqd0eloIiIiUdLDO76sHPMdY5d149Kt32n6rhfVW5YgX7k0TkcTEQk1Kp6R2IVbj6k35St+XdCHgDveJKnVn+n92tKwSFqno4mIiERJ9677sHTkTsat6satB1do+/5wug5uTY53UjgdTUQkVKl4RlKnrz2gycL9nNu7g8B710hRfzjz+rWger6UTkcTERGJkm5eesjm6Uf47uBW7j66Qedq4+g89EMyFUjqdDQRkVCn4hkJ/XLxLi0W7eWBXzBxCtUgfo7iLOpclXeza7CJiIg44eof99k0/RcC/Szl8tWnULayNO1XkbQ5EzkdTUQkTOjiQpHMj2dvUWfkSk7Paof/rYvEcXdldc8aKp0iIiIOuXTyDtMHrGbY8hZcv3eJGB6utBpcWaVTRKIUHfGMRHacuEbrsZ9wed0wornHJn7smKz+qBh5UsdzOpqIiEiU9MfhG8wcsZI5WwYS2z0+seK480HPAiRJE8fpaCIiYUrFM5LY8Is3ncYt5vqGUbjETUruNhP4tFdVMifVYBMREXHCqZ+uMv3jxSzcMZzEcVPSr/E0WgyuQPxkHk5HExEJcyqekcDyny/Qd8Yarn82Arck6fFsN4F13d4nTUINNhERESf8+vUlFk1Zy/ztQ0mdKDP9m0/jw/5liJPQ3eloIiKOUPGMwKy1zN79BxO2n8EtRVbiFqxBwQ/asKbzeySNq8EmIiIS1qy1HNhygQNfnidDspyUzV2bJjXa06BPSTziujkdT0TEMbq4UARlrWXsV6cZOnE2wb6PiOYag3eb92JD9/IqnSIiIg6w1vLjZ2eZPnEOT/we4ebqTqcm/Wjcv5RKp4hEeSqeEVBQsKX/hqOM+3g4t7dO4cGhzZTInIiVbYoS30ODTUREJKwFB1u+WX6KEaOHsPK7Cew5sZE0ORNSvWt+Yni4Oh1PRMRxOtU2gvEPDKbHml/4ZMpwHv7yJbHzVqRO6y7M+rAQ7q4uTscTERGJcoICgtm+6BhjZgzmh5ObKZmzOu1adqFSm7y4uOpn/CIioOIZoTzxD6L98n2snzqIxye+JW7hWrTqOZgJ9fIR3UWDTUREJKwF+AXx5exfGD27PwfPfk2F/A3p230w7zXJTjTNZhGRv6h4RhAPfQNovewgPx87h++lE8Qv1ZQuPfswrEZuokUzTscTERGJcvx8Atgy6yinjp7n7NWj1CjShj69+lKibmaMZrOIyN+oeEYAdx7702TuHk5c98EldgJStppBt8r56FkhK8ZosImIiIQ1nwf+fDrpZx5cCyB+rMQMrLeQMnXzUKhKes1mEZFX0Dkg4dy1+77UmrKDryd35s6ueQAMrlWIXhWzabCJiIg44OEdX5aP/Jahc9qx4afZAFRoUoDCVTNoNouIvIaKZzj25+3H1JjwJT9P74L/9T+ImT4/Y2vn4aPSGZ2OJiIiEiXdu+7DoqHbGbGoPZfvnCN7ak/ea5aDfOXSOB1NRCRc06m24dTpaw+oP3Ezpxb3IejRXVLWH8Y8r5ZUy5vS6WgiIiJR0i3vhywavpWJ63rw8Mk9OlUbS5chTcjkmdTpaCIi4Z6KZzh0+OJdmi/cy6kl/Qj2eUCaD0ex1KsJ72bTYBMREXHC1T/us3H6QSau64GP3yO6fzCJjsPqkzZnIqejiYhECCqe4cxPZ2/RZvlBfPyDSViuLXETJmFlvwYUyZDQ6WgiIiJR0qWTd9g69yhB/oZ6JbqQLHFK2g79gBSZ4jkdTUQkwlDxDEd2nLhG63Gf8OTWZWLnrUCqPMVZ3qoIuVNpsImIiDjhj8M3mDliJbfvX6do1ooUylWS6l3zkyRNHKejiYhEKLq4UDjx+WFvmo+Yz+XVg3iw/3OSeriwrl1xlU4RERGHnPrpKhMHLmDm5n588+unuMd1oXbvgiqdIiJvQEc8w4FPfr5Ar/HzuLlpAm5J0lOw3QTWdi5NmoQeTkcTERGJkn79+hJTx8xj+bdjSZ0oM/2bT6O+V1HiJHR3OpqISISk4ukgay2zd//BkPEzuLN9JjFSZadExwms7vweSeNosImIiIQ1ay0Ht15g0rjprPt+GplS5GVA68k06FMSj7huTscTEYmwVDwdYq1l7LbTzPvuHME+93BPX4ByXcaxol0p4ntosImIiIQ1ay0/fnaWX7++xKMn98iVtigD2k2kdvcixPBwdTqeiEiEpuLpgKBgy8DPj7Fi1yGix0tK3GL1qNT4Ixa2KEasGPojERERCWvBwZZvPznFTzt+JWGcZFTybEKq7PGo1rEArjFcnI4nIhLh6eJCYSwgKJhuq39h9phBXFnShcD7N6iYKzlLWhVX6RQREXFAUEAw2+YfZdh4L8aub8fdRzfI7JmUGp09VTpFRELIGxdPY0waY8y3xphTxpgTxphuIRksMvINCOKjpftYOqYPDw9tJk7eitQrk585H3ri7qrBJiIiYIypZIw5Y4w5a4zxesW6McZMf7Z+1Bjj+dzaYmPMDWPM8bBNHXEF+AWxaeYhhk7qxQ8nN1MiR1WKlc9DxTa5cHHVz+dFRELK2/yLGgj0stbmAIoBnYwxOUMmVuTz0DeAD+d9z7pxPXl84lvilWpCtwHDmVQ/P9FdNNhERASMMS7ALKAykBNo9IrZWhnI8uxXW2DOc2tLgUqhnzRy8PMJYP2kfQyZ1o2DZ7+mRpE2DO4/nHLNchJNs1lEJES98bmd1tqrwNVn///QGHMKSAWcDKFsr5RnWR7OjTn30vZ4ReKRqFwigv2CuTD5wkvrCUomIEGpBAQ+DOTizIsvrSd6LxHxisbD/7Y/3vO9X1pPXCkxcQvExe+qH5eXXn5pPWmNpMTOFZsnfz7h6qqrL60nr5scjywepKjvw7XPPAi4sYFJXhuY9Oxn2SkapyBmupg8OvGIG5tuvHT/VC1SESNFDB4cfsCtbbdeWk/dNjVuidy4v+8+t7+5/dJ62s5piR4nOne/v8vdH+6+tJ6+Z3qixYjG7a9vc3///ZfWM/bPCMCtr27x4MiDv61Fc4tG+l7pAbix8QaPTj7623r02NFJ2yUtANc+vYbPWZ+/rbsmdCVNuzQAXF15lScXn/xtPUbyGKRqmQqAy0su43fN72/rMdPGJMWHKQC4NO8SAXcC/rbukdmD5PWSA3BxxkUCHwX+bT12ztgkrZkUgAuTLhDsH/y39bj545K4cmKACP215/O7D9c+u/bSur729LUX1l97//dneqz5sZfuIxQBzlprzwEYY9YANfn7bK0JLLfWWmCvMSa+MSaFtfaqtXaPMSZ9WIee1KAas7/9+aXt+dKkoETm9PgHBrHw+/0vrRdOn5rCGdLw2M+fZT8demn9nUzpyJ82Jfd8nrBq35GX1stky0iulMm48eARnx16+eupfM4sZE2WmMt377PxyMvfnlTJk430iRNSNhP4+CTk+PkNtOi8ATo/Xa+ZPyepEsTjt+u32HXy95fuX7dgHpLGjc2JK9f57szLf0cbF81PfI+YHLl4hZ/++POl9ebvFCRWDDcOnL/EgQsv/x1sU6oIbtFd+PHsBX699PLfsY7vFgdg9+k/OHn17/9+u7q48FHpIgDsPPE7v9/4+7/fsdzcaF6iIABbj57mwu2///scP6Y7jYsVAGDj4RNcvvf3f3+TxIlFvUJ5Afj04FFuPnz8t/VU8eNSs0AuAFbtPcy9J75/W0+fKAFV8mYHYNmPh3js7/+39SxJE1MhVxYAFuzZT0BQ0N/Wc6ZIStnsmQAi9NfehVt32HrszEvr+trT115Yf+39359pr7VfvnSfkBIiP857NuQKAPtesdbWGHPQGHPw5s2bIfF0IiIikVUq4NJzt72fbfuv+/xPms0iIhLWzNMfmL7FAxgTG/gOGGWt3fC/9i1UqJA9ePDgWz1fnmV53ur+IiISPoTEEU9jzCFrbaEQiBMuGGPqAe9ba9s8u90UKGKt7fLcPluAMdbaH57d/hroa6099Ox2euBLa23uf/OcITGbJzWo9lb3FxGR8CEkjni+bja/1WVUjTGuwHpg5T+VzpASUU7NOn3tAfUnbubU4j4EPbpDigYjmdv7Q6rnS+l0NBERCb+8gTTP3U4NXHmDfcJUaJ6aFZJueT9k0fCtTFjbg4dP7tK1xgTaD6xPJs+kTkcTEYn03uaqtgZYBJyy1k4OuUgR3+GLd6n58TpOzu9OsM8DUjcezYqBzVU6RUTknxwAshhjMhhj3ICGwKYX9tkENHt2ddtiwP1n112Q/+HqH/eZNWADo1d14on/I3p8MIkuIxqpdIqIhJG3eY9nCaAp8J4x5sizX1VCKFeE9dPZW9QZtYazS3pjgwLJ0HwCnw5pzrvZNdhEROR/s9YG8vTSNtuBU8A6a+0JY0x7Y0z7Z7ttBc4BZ4EFQMf/u78xZjXwM5DNGONtjGkdpi8gnLp08g4zB61jwqddAehTbzrdxjQmba5EDicTEYk63uaqtj8AJgSzRHg7T16n06pfCHCNg1uS9GSo2Y21fWqTJ3U8p6OJiEgEYa3dytNy+fy2uc/9vwU6vea+jUI3XcRz7vBNti86jkf0uKROlJkWlfvQekhVkqSJ43Q0EZEo5a3e4yn/3+eHvekyfT0uSTLgEjsBedtOZEXromRJpsEmIiLihNM/X2XJxM9JnSgL8WMloX/T6dTolp8EyWM5HU1EJMrRpyOHgE9+vkDb4bO4vLw3939aS9qEHnzW/h2VThEREYf8+s0lxg2excQvurLzyBriJY1J7T4FVTpFRByiI55vada3ZxkyfgZ3ts8kRsrseFZpzJr2xUka193paCIiIlGOtZaDWy8wedx01n4/jUwp8vJBxQ+p3bsgHnHdnI4nIhJlqXi+IWst47adYfyEidz9dhHuGTx5r8t4VrYrRXwPDTYREZGwZq3lx/VnmThxPBv3LSRX2qIMaDuJOj2KEMPD1el4IiJRmornGwgKtgzeeJzlu37h3o+r8MhWgqpdx7C4dXFix9BvqYiISFgLDrbsXnmaH7cd4atDKyiY6V0GdBpH9Y6euMZwcTqeiEiUp5b0HwUEBdNz7RE2H71K9DiJSd5kIpVKFmR2k0K4u2qwiYiIhLWgwGB2LDrBucM3SRgnGb1rzaT4uwWp3CYvLq66nIWISHigf43/A9+AINou3ceSMX15cGgzAA0qvsO8ZoVVOkVERBwQ4B/EppmHGDqxB9+f2ATAe1WLU6WtSqeISHiiI57/0kPfAFou/ImtM/rz5LefiR4/Oc2Kp2NY9VxEi6aPMxUREQlrfk8C+XzqfkbP68OxP38iecL05H0vNSXrZsFoNouIhCsqnv/Cncf+NJm7m29n9MP3zyMkKNeW/n160LtiNozRYBMREQlrPg/8WTfxR8Ys6slvV45Qv2RXevbtRpFqGTSbRUTCIRXPf3Dtvi8fzv+RH6d1x+/KGRJV6cGovp1oVyaT09FERESipId3fNkw+SDDF3Ti4s0zNHvXix4DOpC/fFqno4mIyGuoeP4PF2/78OGivVy644tHjtLELVKLqf3a0bioBpuIiIgT7l33YeO0wzy6449nprK879mYroNakbNESqejiYjI/6Di+Rpnrj2k/sRNXL92GffUuUhYuAaTG+SnRj4NNhERESfc8n7IohFfcePGdTImz0X5AvWo0CoXmQsmdTqaiIj8A13u7RWOXLpHzVFrOTG/O7c2TcSVIOY3K6jSKSIi4pBr5+4ze+DnjFnZkWXfjMFEC6Zqx7wqnSIiEYSOeL7gpz9u0WTsGv5cNQgwZGgymk/alqBYxkRORxMREYmSLp28w5zhnzJ9U19cokWnc83R1OpZiBSZ4zsdTURE/iUVz+fsOnmdluM+4fKaoUSLEYssLcaytm9t8qaO73Q0ERGRKOnc4ZvMGLGSuVsGEss9Lr0bTKH14KokSRvH6WgiIvIfRLziOSweZZc+fmlz/VyudCzshk+ApcpKn5fWW+R3pUV+N275BFN33ZOX1jsUcqNBbld+ShhM0xR+gB9sakvXTW0B6FXcjerZXDlzK4h2X/q+dP9BpWNQPmN0jlwLovu2l9dHl4vBO2mi89OlQAZ87ffS+tRK7uRP7sKuc4F8vOfl9XnV3MmW2IXNZwKY9LP/S+uf1IpJmnjRWHs8gDkHX17/rH5MEntEY+kRf5YeCXhpfeuHHni4GmYf8GfdiZfXd7eIBcDEn/z48rfAv63FdIWvPny6PvI7P74+//f1RB6G9fU9AOi/y5efvYP+tp46bjRW1I4JQPdtvhy59vf1rImiMb/60/W2m5/w2+3gv63nT+7C1EruADTZ8ATvB39fL57ahTHln67XWefDbR/7t/VyGaIzuEwMACqvfMyTF15+tazR6f3O0/XQ/Nq7dD+Ypp+/vK6vPX3tQeT62vu/P1OG3X/pPiLPO/3zVb5ZfoqfT24jXqzEeH04jeaDKpAgeSyno4mIyH8U8YqniIiIRHpHv73Et6tOEt3FlUale+AWz/Jh/zLETRTT6WgiIvIGjLX2n/cKIYUKFbIHDx58uwcZFi9kwoiIiLNC4IinMeaQtbZQCKSJskJkNocgay2HvrrApLEz2H18A92qTyZ95tTU6JYfj7huTscTEZF/8LrZHPGOeIbQqVnWWsZtO8P4iZO4+81C3DN48l7ncaxoV5oEsTTYREREwpq1lp/Wn2XCxAls3LeAXGmLkjZrUj7oXgD3WK5OxxMRkbcQ8YpnCAgKtgz64hhzJo3l/k+r8cj6DlW7jmFxm3eIHSNK/paIiIg4KjjY8u2KU4yf8jE7jqzGM1NZBnYcR/VOBXGN4eJ0PBEReUtRrmUFBAXTa92vrFg4m/s/rSZWnvLU7z6C2U2L4O6qwSYiIhLWggKD2bn4JHMXT2fHkdWUyFEVry4fU7lNXlxc9ZHjIiKRQZQqnr4BQXRa+Qtfn75BrFzvYoMCada2MxMbFMDVRYNNREQkrAX4B7Ft3jEunrhD0awVMRg6te/Ke01zEE2zWUQk0ogy/6I/8guk6fwf2LB0FjYoABePeHTu3ospDT1VOkVERBzg9ySQ9ZP2sXDFLIKCAonrkZCePXpRrllOlU4RkUgmShzxvPvYnyZzv+Obmf3wvXAYtyTp6d2mIb0rZsMY43Q8ERGRKOfJQ3/WTviRMYt68tuVI6RJnIWm7etSpFoGzWYRkUgo0hfP6w98aTB9F3vn9MHv6m8kqtKd4Z2b0r5MJqejiYiIREkP7/iyetx3jF7anUs3f6PZu1606dGQ/OXTOh1NRERCSaQunhdv+1Bv6lYOz+tDwB1vknzgxdR+7WhcVINNRETECfeu+7Bs1E7GrezBzXve/6+9e4+uqj7TOP59cyMXQO4QCAiu0UptbcUIIq3TNtaiVbSz1li1UqVVtBUXVGdRxEEpo9XSjsPYjlILDNYLWC9U2lqktmrtarGAYBUDMwgCCQGC3BHkkrd/ZLMWabhsyDn7l508n7WyyMkv+5wHcpKH9+xLuPHiiYye8E0+PqRn6GgiIpJFLXbwXLFhJ8Onv0FVdQ11e3ZQ+q8TmTpuBMM+pWITEREJYXPVLuY+tJSa6hp2793Bty+7n9vuHs4/ndstdDQREcmyFjl4vrVuG1/7ye/YZcUUdDuNfrfOYOr151PRv3voaCIiIq3ShlXbmfXD1yjwtvTuegb3ff0pho06lz5ndQ4dTUREEtDiLhn3l/c+4CuTnqDyJzexY/GvaNsmj8dHfkZDp4iISCDrKrfw0PjZTJg5nNeXzaWgMJd/uWOghk4RkVakRe3xfPndjYz4weNUPz2RnIJiuvcfyFM3DeLssg6ho4mIiLRKq5bU8uNJTzL1N3dR3KYdZ58xiCtvH0DXPu1CRxMRkQS1mMHzhaXV3PLADDY+dx+57btw1jcn88wdl3N6dxWbiIhICMsX1PDQf8xk2ksT6dSuB9+9dgo3TLiYjj1KQkcTEZGEtYjB8/EFaxj/xGtsfO5e8jqVMeDmH/LMmKH07lQcOpqIiEir9LdXqnhh2uv8bN49lHbqy7jhU7jurs/TvnNR6GgiIhJA6gfPh19dyeR5K8ht25kul/8bZ5UP5ulRF9GtfWHoaCIiIq2Ou7P4t+/zxtzVdGrXnesrxnPBeRfy1bFDKDmlTeh4IiISSGovLuTu/GDecv793snsWbUYgMEVl/L86Is1dIqIiATg7vz5+ff4/r2TWV5V381DKy7j2vGf1dApItLKNWnwNLOhZrbCzFaa2bhMhTqeujrnrjlvc/+9k9j6+5+x+91XGXxaZ568cRAdSwqSiiEiIpJxx+tWq/dQtP43MxsQd9tsqqtzXnliOZPuu4c5f5nKopV/oOzMjgwb/WkKS/KTjCIiIs3QSR9qa2a5wP8AXwSqgIVmNtfd381UuCPZf7COO55ewswHJ7Fz8VxKPnkRV42ZxMPDz6MwPzebDy0iIpJVMbv1EuD06G0Q8AgwKFQvAxw8UMf86e/wwI/v5o/LXuCCMy/lztvuY+hNnyRP3SwiIjTtHM+BwEp3XwVgZrOBK4CsFdze/Qf51uMLeea/JrD7nZdpV34FN3xnAv/51XPIz03tUcMiIiKHxOnWK4Cfu7sDC8ysg5mVAn1jbJtx+/cd5DcPL+X7D49j4f+/TMXZV/HdMXdT8fX+5KibRUQk0pTBsxew7rDbVdS/8po10/+0mrGTR7Bs7RooKoJl81lw43yG3AhD27Xnmo4d2VNXxy1V6xpte+Upp/CVUzqw9cABxqyvbrR+dYeOXNK+PTX79zOuZn2j9Rs6deLzbduxet9HTNywodH6zZ27cEFJCZV79/LApo2N1sd07co5RcUs2fMhU2prG62P69ad/oWF/Hn3bn76weZG6xN79KBfQRte2bWTmVu2NFp/oLQnpfn5/HbHDmZv29pofUrPXnTMy2PO9m38cvv2RutTy3pTlJPDrK1bmbdzR6P1x/qcCsCMLR/w2q5dDdba5OTwaFlvAB7ZvJkFH+5usN4hN5f/7lUGwIO1m3hrz54G693z8pncsycA92/ayPK9exus9y0o4Hs9SgG4Z0MN7+/b12D9zMJC7uzWHYCx69ez8cD+BuufKiri9q7dABhdXcW2gwcbrJ9fXMK3unQBYGTVOj6qq2uw/s9t2/KNTvW/5Pz6tWv4R3ru6bkHeu6dyHPv0Ne0//LKRttIrG490uf0irltxi2Zv5Z1lVvJsRwuP+8b3HH7WC686gwsx7L90CIikiJNGTyP1Cje6JPMRgIjAfr06dOEh4ObPnsa7zXpHkRERJq1ON16tM+J1cuQ2W4+90unsmHVdq5jLOd9uR8DL++HmYZOERFpyOqP1DmJDc0GAxPd/UvR7TsB3P3+o21TXl7uixYtOqnHO6TyzP5N2l5ERJqHTOzxNLPF7l6egTjNQpxuNbOfAq+6+6zo9grgc9QfantCvQyZ6eb9Hx1k9Vu1nDGwR5PuR0RE0u9o3dyUPZ4LgdPNrB9QDVwNXNuE+4tFh2aJiEgLFqdb5wKjonM4BwHb3b3GzGpjbJsV+W1yNXSKiMgxnfTg6e4HzGwU8BKQC8xw92UZSyYiItLKHK1bzeyWaH0q8CJwKbAS+BAYcaxtA/w1REREGmnKHk/c/UXqC1BEREQy4EjdGg2ch9534Na424qIiDQHus65iIiIiIiIZJUGTxEREREREckqDZ4iIiIiIiKSVRo8RUREREREJKs0eIqIiIiIiEhWafAUERERERGRrNLgKSIiIiIiIlmlwVNERERERESySoOniIiIiIiIZJUGTxEREREREckqDZ4iIiIiIiKSVRo8RUREREREJKvM3ZN7MLNaYE0G7qoLsDkD9xNCWrMrd7KUO1nKnaxM5j7V3btm6L5aJXVzanNDerMrd7KUO1nKfZRuTnTwzBQzW+Tu5aFznIy0ZlfuZCl3spQ7WWnNLceW1q9rWnNDerMrd7KUO1nKfXQ61FZERERERESySoOniIiIiIiIZFVaB89HQwdogrRmV+5kKXeylDtZac0tx5bWr2tac0N6syt3spQ7Wcp9FKk8x1NERERERETSI617PEVERERERCQlNHiKiIiIiIhIVqVu8DSzoWa2wsxWmtm40HniMLMZZrbJzN4JneVEmFlvM3vFzCrNbJmZjQ6dKQ4zKzSzv5rZW1Hu74XOdCLMLNfMlpjZr0NnORFm9r6ZvW1mS81sUeg8cZlZBzN71syWR8/1waEzHY+ZfSz6dz70tsPMxoTOFYeZfSf6vnzHzGaZWWHoTNJ06ubkqJvDUDcnS92crKS6OVXneJpZLvB/wBeBKmAhcI27vxs02HGY2YXALuDn7v6J0HniMrNSoNTd3zSzdsBi4MoU/HsbUOLuu8wsH/gTMNrdFwSOFouZ3Q6UA+3d/bLQeeIys/eBcndP1S9NNrPHgNfdfZqZFQDF7r4tcKzYop+L1cAgd18TOs+xmFkv6r8fP+7ue8zsF8CL7j4zbDJpCnVzstTNYaibk6VuTk6S3Zy2PZ4DgZXuvsrd9wGzgSsCZzoud/8jsCV0jhPl7jXu/mb0/k6gEugVNtXxeb1d0c386C0Vr7CYWRnwZWBa6CytgZm1By4EpgO4+740FVukAnivuRfbYfKAIjPLA4qB9YHzSNOpmxOkbk6eujlZ6uYgEunmtA2evYB1h92uIgU/bFsCM+sLnAO8EThKLNEhMUuBTcDv3D0VuYEpwFigLnCOk+HAfDNbbGYjQ4eJ6TSgFvjf6BCqaWZWEjrUCboamBU6RBzuXg38CFgL1ADb3X1+2FSSAermQNTNiZmCujlJ6uYEJdnNaRs87QgfS8WrZWlmZm2B54Ax7r4jdJ443P2gu38aKAMGmlmzP4zKzC4DNrn74tBZTtIQdx8AXALcGh3G1tzlAQOAR9z9HGA3kIrz0wCiw4+GAc+EzhKHmXWkfk9YP6AnUGJm14VNJRmgbg5A3ZwMdXMQ6uYEJdnNaRs8q4Deh90uQ4dpZVV0HsZzwJPu/nzoPCcqOjTjVWBo2CSxDAGGRedjzAa+YGZPhI0Un7uvj/7cBMyh/vC75q4KqDrsVfdnqS+7tLgEeNPdN4YOEtNFwGp3r3X3/cDzwAWBM0nTqZsTpm5OlLo5eermZCXWzWkbPBcCp5tZv+jVhKuBuYEztVjRhQCmA5Xu/mDoPHGZWVcz6xC9X0T9N9TyoKFicPc73b3M3ftS/9z+g7unYm+QmZVEF7kgOhzmYqDZXynS3TcA68zsY9GHKoBmfYGOf3ANKTmUJ7IWON/MiqOfLxXUn58m6aZuTpC6OVnq5uSpmxOXWDfnZeNOs8XdD5jZKOAlIBeY4e7LAsc6LjObBXwO6GJmVcA97j49bKpYhgDDgbejczIAxrv7i+EixVIKPBZdUSwH+IW7p+ry5ynUHZhT//OKPOApd58XNlJstwFPRv9hXgWMCJwnFjMrpv4qojeHzhKXu79hZs8CbwIHgCXAo2FTSVOpmxOnbpa41M0JUzcfW6p+nYqIiIiIiIikT9oOtRUREREREZGU0eApIiIiIiIiWaXBU0RERERERLJKg6eIiIiIiIhklQZPERERERERySoNniIiIiIiIpJVGjxFREREREQkq/4OCeVbwtTYu7AAAAAASUVORK5CYII=\n", "text/plain": [ "<Figure size 1152x504 with 2 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sens = (['e.x', 'dot(e.x)'], ['e.p', 'e.q', 'init(e.x)'])\n", "\n", "s = myokit.Simulation(m, sensitivities=sens)\n", "d, e = s.run(8)\n", "d, e = d.npview(), np.array(e)\n", "t = d.time()\n", "\n", "fig = plt.figure(figsize=(16, 7))\n", "ax = fig.add_subplot(1, 2, 1)\n", "ax.plot(t, e[:, 0, 0], lw=3, label='dx/dp')\n", "ax.plot(t, q * t, 'k--')\n", "ax.plot(t, e[:, 0, 2], lw=3, label='dx/dx0')\n", "ax.plot(t, np.ones(t.shape), 'k--')\n", "ax.plot(t, e[:, 1, 0], lw=3, label=\"dx'/dp\")\n", "ax.plot(t, q * np.ones(t.shape), 'k--')\n", "ax.plot(t, e[:, 1, 2], lw=3, label=\"dx'/dx0\")\n", "ax.plot(t, np.zeros(t.shape), 'k--')\n", "ax.legend()\n", "ax = fig.add_subplot(1, 2, 2)\n", "ax.plot(t, e[:, 0, 1], lw=3, color='tab:purple', label='dx/dq')\n", "ax.plot(t, p * t, 'k--')\n", "ax.plot(t, e[:, 1, 1], lw=3, color='tab:brown', label=\"dx'/dq\")\n", "ax.plot(t, p * np.ones(t.shape), 'k--')\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sensitivities of $y = 2p + (y_0 - 2p) e^{-t}$:\n", "\\begin{align}\n", "\\left.\\frac{\\partial y}{\\partial p}\\right\\rvert_t &= 2 - 2e^{-t} \\\\\n", "\\left.\\frac{\\partial y}{\\partial y_0}\\right\\rvert_t &= e^{-t} \\\\\n", "\\end{align}\n", "And of $\\dot{y} = (2p - y_0) e^{-t}$:\n", "\\begin{align}\n", "\\left.\\frac{\\partial \\dot{y}}{\\partial p}\\right\\rvert_t &= 2e^{-t} \\\\\n", "\\left.\\frac{\\partial \\dot{y}}{\\partial y_0}\\right\\rvert_t &= -e^{-t} \n", "\\end{align}" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1152x504 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sens = (['e.y', 'dot(e.y)'], ['e.p', 'init(e.y)'])\n", "\n", "s = myokit.Simulation(m, sensitivities=sens)\n", "d, e = s.run(8)\n", "d, e = d.npview(), np.array(e)\n", "t = d.time()\n", "\n", "fig = plt.figure(figsize=(16, 7))\n", "ax = fig.add_subplot(1, 1, 1)\n", "ax.plot(t, e[:, 0, 0], lw=3, label='dy/dp')\n", "ax.plot(t, 2 - 2 * np.exp(-t), 'k--')\n", "ax.plot(t, e[:, 0, 1], lw=3, label='dy/dy0')\n", "ax.plot(t, np.exp(-t), 'k--')\n", "ax.plot(t, e[:, 1, 0], lw=3, label=\"dy'/dp\")\n", "ax.plot(t, 2 * np.exp(-t), 'k--')\n", "ax.plot(t, e[:, 1, 1], lw=3, label=\"dy'/dy0\")\n", "ax.plot(t, -np.exp(-t), 'k--')\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sensitivities of $f_x= (pqt)^2 + 2pqtx_0 + x_0^2$:\n", "\\begin{align}\n", "\\left.\\frac{\\partial f_x}{\\partial p}\\right\\rvert_t &= 2p(qt)^2 + 2qtx_0 \\\\\n", "\\left.\\frac{\\partial f_x}{\\partial q}\\right\\rvert_t &= 2p(qt)^2 + 2ptx_0 \\\\\n", "\\left.\\frac{\\partial f_x}{\\partial x_0}\\right\\rvert_t &= 2pqt + 2x_0\n", "\\end{align}" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1152x504 with 2 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sens = (['e.fx'], ['e.p', 'e.q', 'init(e.x)'])\n", "\n", "s = myokit.Simulation(m, sensitivities=sens)\n", "d, e = s.run(8)\n", "d, e = d.npview(), np.array(e)\n", "t = d.time()\n", "\n", "fig = plt.figure(figsize=(16, 7))\n", "ax = fig.add_subplot(1, 2, 1)\n", "ax.plot(t, e[:, 0, 0], lw=3, label='dfx/dp')\n", "ax.plot(t, 2 * p * (q * t)**2 + 2 * q * t * x0, 'k--')\n", "ax.legend()\n", "ax = fig.add_subplot(1, 2, 2)\n", "ax.plot(t, e[:, 0, 1], lw=3, color='tab:orange', label='dfx/dq')\n", "ax.plot(t, 2 * q * (p * t)**2 + 2 * p * t * x0, 'k--')\n", "ax.plot(t, e[:, 0, 2], color='tab:green', lw=3, label='dfx/dx0')\n", "ax.plot(t, 2 * p * q * t + 2 * x0, 'k--')\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sensitivities of $f_y= r + p^2 + (2p - y_0) e^{-t}$:\n", "\\begin{align}\n", "\\left.\\frac{\\partial f_y}{\\partial p}\\right\\rvert_t &= 2p + 2e^{-t} \\\\\n", "\\left.\\frac{\\partial f_y}{\\partial p}\\right\\rvert_t &= 1 \\\\\n", "\\left.\\frac{\\partial f_y}{\\partial y_0}\\right\\rvert_t &= -e^{-t}\n", "\\end{align}" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1152x504 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sens = (['e.fy'], ['e.p', 'e.r', 'init(e.y)'])\n", "\n", "s = myokit.Simulation(m, sensitivities=sens)\n", "d, e = s.run(8)\n", "d, e = d.npview(), np.array(e)\n", "t = d.time()\n", "\n", "fig = plt.figure(figsize=(16, 7))\n", "ax = fig.add_subplot(1, 1, 1)\n", "ax.plot(t, e[:, 0, 0], lw=3, label='dfy/dp')\n", "ax.plot(t, 2 * p + 2 * np.exp(-t), 'k--')\n", "ax.plot(t, e[:, 0, 1], lw=3, label='dfy/dr')\n", "ax.plot(t, np.ones(t.shape), 'k--')\n", "ax.plot(t, e[:, 0, 2], lw=3, label='dfy/dy0')\n", "ax.plot(t, -np.exp(-t), 'k--')\n", "ax.legend()\n", "plt.show()" ] } ], "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": "3.10.8" } }, "nbformat": 4, "nbformat_minor": 4 }