{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import ipywidgets\n", "import numpy\n", "from matplotlib import pyplot\n", "\n", "import calibr8" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# The Generalized Logistic Function\n", "Real-world calibration curves rarely follow linear dose/response relationships, but often exhibit lower & upper saturations.\n", "These relationships can be described with S-shaped functions.\n", "The logistic function (the _sigmoid curve_ is a special case of it) is often well suited for real-world calibration curves.\n", "\n", "Several different flavors of S-shaped curves are available:\n", "+ [sigmoid](https://en.wikipedia.org/wiki/Sigmoid_function) (1 parameter: variable slope)\n", "+ [logistic](https://en.wikipedia.org/wiki/Logistic_function) (3 parameters: variable upper limit, variable x-value of the inflection point, variable slope)\n", "+ [generalized logistic](https://en.wikipedia.org/wiki/Generalised_logistic_function) (5 parameters: variable limits, variable inflection point, variable slope, variable symmetry)\n", "\n", "Here, we're going to use the generalized logistic, because it is most useful. However, we use a different parametrization that is derived in the notebook `Background_AsymmetricLogistic`.\n", "\n", "$$f(x)= L_L \\cdot (L_U - L_L) \\cdot (e^{(\\frac{S}{L_U - L_L} (I_{x} - x) + c (e^{c} + 1)^{-(e^{c} + 1) e^{- c}}) (e^{c} + 1)^{(e^{c} + 1) e^{- c}}} + 1)^{- e^{- c}} $$\n", "\n", "The following table shows the bounds & interpretation of its 5 paramters:\n", "\n", "| parameter | interpretation\n", "| ----- | -- |\n", "| $L_L \\in \\mathcal{R}$ | lower asymptote |\n", "| $L_U \\in \\mathcal{R}$ | upper asymptote |\n", "| $I_x \\in \\mathcal{R}$ | x-value of the inflection point |\n", "| $S \\in \\mathcal{R}$ | slope at the inflection point `I_x` |\n", "| $c \\in \\mathcal{R}$ | moves the inflection point closer to `L_L` (`c < 0`) or closer to `L_U` (`0 < c`). |\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example\n", "Let's say we have an assay with noticeable lower- and upper satuation limits, as well as some asymmetry.\n", "\n", "To visualize the meaning of the parameters, we can draw an interactive plot of the `calibr8.asymmetric_logistic` function:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function asymmetric_logistic in module calibr8.core:\n", "\n", "asymmetric_logistic(x, theta)\n", " 5-parameter asymmetric logistic model.\n", "\n", " Parameters\n", " ----------\n", " x : array-like\n", " independent variable\n", " theta : array-like\n", " parameters of the logistic model\n", " L_L: lower asymptote\n", " L_U: upper asymptote\n", " I_x: x-value at inflection point\n", " S: slope at the inflection point\n", " c: symmetry parameter (0 is symmetric)\n", "\n", " Returns\n", " -------\n", " y : array-like\n", " dependent variable\n", "\n" ] } ], "source": [ "help(calibr8.asymmetric_logistic)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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OVkykaQEXabUIM19UTYskE7Azj+bHN/MF0U4fzI+0H2PNcxFO63kTJIz2PR6ajjCBRhO4Y1ZzAECYT0KTlpamtWvX+tc3bNhgBROrVKlitWR85JFHtG3bNo0ZM8Y/4/WIESM0bNgwDRkyxAo6mgloCs5uPXToUKul5Isvvqj+/ftrypQpmjFjhmbPnh3ItwIAAIDSYsZ97HdwDOiDY0AiQDb/Jn00UMpOlmqdKl3/hVShRrna3aYVrunquXl/htVl0wQWzXjkpvucL+BoWi8Wd+xA0+LFdLs0XT/NYrprmu51CbF2ULFiTKTVLc6kTddI01XRdEH0pQtOLgAAQLgLaAvIn376Sb165Q8+7nPjjTdq9OjRuummm7Rx40arnM/PP/9sda9evny56tSpY7WKNIHJgj7//HM9/vjjWr9+vZo0aaLnn39el19+eUAitAAAAECZtHaG9Mn1Ul6mVL+rdO0EKdaerKQsMV93zHh2JsC4ZX+G9ehbzLoZ8+p4vhGZnmfVKkSrRkK0alaMscb08o0ZZgKLJsBoAo2+dMHudQAAlEXFia+VWhfsUEIAEgAAAOXasi+kL26XPLlS0/OlgWOlqPxB58ORGRfLDJa/emeqNcGDmYzBF3A81riKvgkXzID+ZtIMM1mEL9BoZm82aRNo9I11CgAAFDpdsAEAAACEmAWjpa/utafsbXO5dNm7UoQ982c4MJMVmi7TJsi4emeKNUuomf3TzFZrJhw5EtMQsXZCjDXzbgPfUjXOv26Ci7RWBAAgcAhAAgAAILRkZEjt29vpJUukuPBumRdSZr8uzXjSTne6WbroFckZuuNsmpk2TYBxwaYDWrE95WDLxlSl5xy5RaMZU7FFrYrW0rxmRTWsagcY61aOLTRbKAAAKF0EIAEAABBazAhBvokMy99oQYFh9uOMp6RfX7fXz7pPOu9Ju2lgCEnKyNGizUlWwNEsi7ckHbH7dJTLqSY1KqjlwUBjy4NBx9qJMbRkBAAgBBGABAAAQGiJiZFmz85P4+R43NI3/yct+NBeP/9p6SzTBTu4zFD06/aka+HBYOOCzQe0dnfaYeUSYiLUsWFlnVo30QoymmBjw6rxzBINAEAYIQAJAACA0OJySd27B7sWZUNejjTpb9LyL8xIiNIlr0udbgpaddbvSdPM1Xs0Z+1eK+CYlJF7WJlTqsVbAcdOB5em1SvIaaagBgAAYYsAJAAAAFAW5WRIn94grZ0uOSOly0dJbS8v1Spk5br1x4b9+nHVbv20erc27sso9Hx0hFPt61WyAo6dG1ZWhwaVVLVCdKnWEQAABB4BSAAAAISWvDxp0iQ7fdllUgS3rMWWmSR9PEja8psUESsNGic1O1+lYXtSpmau3q2Zq/bo17V7C43hGOlyqEvjKurZvLq6NK6q1rUTFBXhLJV6AQCA4OFuDgAAAKElO1saONBOp6URgCyutN3S2MulXX9K0YnSdZ9KDboqkDNVL9ycdDDouNuatbqgGhWj1atFDfVqWUPdm1ZVxZjIgNUFAACEJgKQAAAACC1Op9SzZ34axy9pszSmv7R/vRRfQxr8hVTr1IBMILNka7K+WLhVXy3ZrgMFxnI0E2t3qF9J57asoXNa1FCbOgnMTA0AQDlHABIAAAChJTZW+umnYNci/OxZLY0ZIKVulxIbSDdMlqo2KdGX2JaUqcmLtmniwq1avyfdn18pLtLqVm1aOvZoXl1V4qNK9HUBAEB4IwAJAAAAhLvti6RxV0gZ+6RqLezgY0KdEtl0Wnaevl22UxMXbNVvG/bJ67XzYyKdurBNLV3esZ7ObFJVES5aqwIAgCMjAAkAAACEsw2/SOOvkXJSpTodpOsmSvFVT2qTbo9Xc9bt1RcLt1nBx4ITyXQ9pYoVdOzbthbjOQIAgONCABIAAAChJTNT6tbNTs+da3fJxpGtniZ9eqPkzpYanS1d/bEUk3DCe2vD3nR9Mm+z1c16V0q2P/+UavG6vGNdDehQV/Uqx3E0AABAsRCABAAAQGjxeKQlS/LTOLIlE6TJd0pet9Sin3Tlh1JkzAntrQWbDmjUrHX6fsUufxfrxNhIXdq+jhV4PK1+JSaSAQAAJ4wAJAAAAEJLTIz0/ff5aRzu91HStAfsdLurpf4jJVdEsbtZz1i5S6NmrbcCkD7ntKiuq0+vr14tayg6wsXeBwAAJ40AJAAAAEKLyyVdcEGwaxGaTPPEWS9JM5+317v8TbrwX5Lz+CeAycp1W7NY//eXDVaXayPK5dSADnU05OxT1KxmxUDVHgAAlFMEIAEAAIBwYLqjf/+Y9Nvb9nrPh6VzHpYcjuP68/3pORo7d5PGzN2ofek5Vl5CTISu79pQN53ZSDUSaG0KAAACgwAkAAAAQktenvTdd3a6Tx8pgltWufOkr/4hLf7I3i+m1WPXO49rd27cm673Z2/QZwu2KCvXHlOzbqVY3XpWYw06vb7io9m/AAAgsLjbAAAAQGjJzpYuvthOp6URgMzNkibeKq36WnK4pP4jpNOuPeZuXLs7Ta9OX61py3b6J5ZpWzdBt/doon5taynCdfzdtgEAAE4GAUgAAACEFjOeYefO+enyLDtV+uQ6acPPkivKnum61cHgbBF2p2bp9RlrNGHeFmuiGd/EMrf3OEXdTqnKbNYAAKDUEYAEAABAaImNlebNC3Ytgi9jv/TRldK2BVJUBenqj6VTehZdPCdP783aoHdnrVNGjtvKu6B1Tf1f7+ZqWSuhFCsOAABQGAFIAAAAINSk7JDGXibtWSnFVpaumyjV63TEonlujz5fsFWvTv9Lu1Ozrbz29Svp0b4tdcYpVUu54gAAAIcjAAkAAACEkv3rpTEDpKRNUsXa0uBJUo1WhxXzer2auXq3/jVtlf7alWbl1a8Sqwf7tNTF7WrT1RoAAIQMApAAAAAILZmZ0vnn2+kZM+wu2eXFruV2y8e0XVLlxtINk6XKjQ4r9ufWZL0wdaXmrt9nrVeKi9Tfz22m67s2UHSEKwgVBwAAKBoBSAAAAIQWj0eaMyc/XV5smWeP+ZiVJNVoIw3+QqpYq3CR/Rl65fvVmrx4u7UeFeHUzWc20l3nNFViXGSQKg4AAHB0BCABAAAQWqKjpUmT8tPlwbof7dmuczOkel2k6z61x348KCvXrRE/rtWoX9YrJ88Oyl7Woa41wUy9ynFBrDgAAMCxEYAEAABAaImIkAYMULmxYor0+a2SJ1dqcq40aJwUFe9/et7G/Xpo4lKt35NurZ/ZpKoe7ddKbesmBrHSAAAAx48AJAAAABAsC8dKX/1D8nqk1gOky0dJEXarz7TsPP3721UaM3eTtV69YrSe7d9GfdrUYoIZAAAQVghAAgAAILS43dIvv9jps8+WXGV0UpU5b0nfP26nOwyWLnlDctrv1cxu/dgXf2p7cpa1PqhzfavVI+M8AgCAcEQAEgAAAKElK0vq1ctOp6VJ8fndkcsEr1f68Tnpl5ft9TP/Ll3wrORw6EB6jp79eoW+WLTNeqp+lVj96/J26t60WnDrDAAAcBIIQAIAACC0OBxS69b56bLEzOo97QFp3n/t9fP+KZ01TF5JXy/Zrqe+XK596TlyOqRbujfWsN7NFRfFLTsAAAhv3M0AAAAgtMTFScuXq8xx50qT75T+/MxEVqWLXpFOv1U7k7P0+ORlmrFyl1Wsec0KevGKdurQIH8WbAAAgHBGABIAAAAItJwM6bObpDXfSc4I6bJ35W17hT75Y7Ne+GalUrPzFOly6O5eTXXXOU0VFeHkmAAAgDKDACQAAAAQSFnJ0sdXS5vnSBEx0sCx2lbjbN3/3u+au36fVaR9/Ur69xXt1KJWRY4FAAAocwhAAgAAILRkZkqXXmqnv/xSio1V2ErfK429TNq5VIpOkK6doOnpTXT/G78oOTNXMZFO3d+7hW7u3lguM/AjAABAGUQAEgAAAKE3UcuMGfnpcJW0xQ4+7lsjxVVTzrWfa/iiKH3463zr6Xb1EvXm1R3UqFoZm+UbAADgEAQgAQAAEFqio6Vx4/LT4WjvGmnMACllq5RQT9suHa87JqXoz23bradvO6uxHrywJWM9AgCAcoEAJAAAAEJLRIR03XUKW9sXS+OukDL2SlWb6fvO72rY2B1Ky85TpbhIvXxle53fumawawkAAFBqCEACAAAAJWXjr9L4q6XsFHlqtdcLVZ7Tf6fstJ46vVFlvXF1B9WpFMZjWgIAAJwAApAAAAAILW63tHChne7YUXK5FBb++k769AYpL0sZtc/QdenDtGhjqhwO6Z5eTTX0vGaKcDmDXUsAAIBSRwASAAAAoSUrS+rSxU6npUnxYTBJy5+fS5P+JnnytL1GD/XbOkRJuW5VqxCt1wedprOaVQt2DQEAAIKGACQAAABCi2ky2LBhfjrUzfuv9M39krxakHC+Bm2+QXly6aym1fTqoPaqUTEm2DUEAAAIKgKQAAAACC1xcdLGjQp5Xq/0yyvSj89aq5Mj++q+3dfJ6XTpgQua686eTeR0hkEAFQAAIMAIQAIAAAAnEnyc/oQ05y1r9W3PZfp36pWqnRirN6/poNMbVWGfAgAAEIAEAAAAToDHLX01VFo01lp9Nvc6ve++SD2aV9cbg05T5fgodisAAEABtIAEAABA6E1Cc/XVdvqTT6SYEBpDMS9bmnibtPJLeeTUQ7m36TP3Obq9xyl66MKWctHlGgAA4DAEIAEAABBa3G5pypT8dKjITpMmXC+tn6kcRejvOfdopqOrXrnqVF3RqV6wawcAAFC+A5Bvv/22XnrpJe3YsUNt2rTR66+/rrPPPvuIZW+66Sb973//Oyy/devWWr58uZUePXq0br755sPKZGZmKqaEfiH3er3Ky8uTO5RueuHncrkUEREhRzjMjAkAAIonKkoaNSo/HQoyD0gfXSVtnacMRWtIzjD9Fd9ZnwzupI4NKge7dgAAAOU7ADlhwgTde++9VhCye/fuevfdd9W3b1+tWLFCDRo0OKz8G2+8oX/961/+dRMEbN++va666qpC5RISErR69epCeSUVfMzJybGCpRkZGSWyPQRGXFycateurahQ+WICAABKRmSkNGRI6OzN1J3S2Mul3cuV5I3XzTkPyl23s74a3Fm1EkOoezgAAEB5DUC++uqruvXWW3XbbbdZ66b143fffad33nlHw4cPP6x8YmKitfhMnjxZBw4cOKzFo2n5VqtWrRKvr8fj0YYNG6wWdnXq1LGCW7SyCy2mdaoJEu/Zs8c6Vs2aNZPT6Qx2tQAAQFl0YKO8YwbIcWCDdnsraXDOw2rZvqtevKKdYiJdwa4dAABAWAhoANIEiRYsWKCHH364UH7v3r01Z86c49rG+++/r/PPP18NGzYslJ+WlmblmS7Sp512mp599ll16NChROpsgpD169e3WtghNMXGxioyMlKbNm2yjllJtX4FAAAhwOORVq60061aScH6oXH3Snn+11/O9F3a7Kmu63Mf1TV9euqOnqfwAzUAAECoBCD37t1rBQhr1qxZKN+s79y585h/b7pBT5s2TR9//HGh/JYtW1rjQJ566qlKSUmxum2b7t1LliyxWsMdKjs721p8zN8cCy3qQh/HCACAMiozU2rb1k6npUnx8aVfh63zlTf2CkVkJ2mVp77udDymJ284V+e1KnxfCwAAgBCZhObQLsymC+3xdGs2QcZKlSppwIABhfK7du1qLT4m+NixY0e99dZbevPNNw/bjunq/fTTT5/UewAAAEApqlYteLt7/U/K++gaRbgztMjTVE9UeFKjbuylZjUrBq9OAAAAYSyg/VmqVatmjaV4aGvH3bt3H9Yq8lAmSPnBBx9o8ODBx5xkxLSEO/3007VmzZojPv/II48oOTnZv2zZsuUE3g0AAABKhWnxuGePvZRy60fvii/lHnulFXyc7W6jt+q9rHH3XEjwEQAAIFQDkCZw2KlTJ02fPr1Qvlk/88wzj/q3P//8s9auXWtNYHMsJli5ePFia0bkI4mOjrZmzS64AAAAAAV5Fn0k76c3yuXN1bfu0/VDxxF699aeqhR39B/DAQAAEOQu2MOGDbNaMXbu3FndunXTqFGjtHnzZt1xxx3+1onbtm3TmDFjDpt85owzzlBb3/g/BZju1KYLthnv0YznaLpdmwDkyJEjA/12wsK9996rjRs3WjOIh6Nwrz8AAAg/ObNHKmrGo1b6M3cPpZz/ip7s2TzY1QIAACgTAh6AHDRokPbt26dnnnnGmlTGBBSnTp3qn9Xa5JmAZEGmm/TEiROtyWWOJCkpSbfffrvVtTsxMdGa/XrWrFnq0qVLoN9OWJg3b54uuugihatwrz8AADhJWVmSrxfM++9LMTGB26VerzK/f06xc1+2Vj/09FONK1/WVe3rBu41AQAAypmAdsH2ueuuu6wWbWYm6gULFqhHjx6FJpr56aefCpU3QcWMjAwNGTLkiNt77bXXtGnTJmt7ZjzJ7777zmpdWd7l5uZa3d7nzJmjxx57zJrox7QiNUwA2MwaHh8fb42/eeedd1rlDdPV3ZT95ptvdN555ykuLk4tWrTQ77//Xmj7y5cvt45dbGysTjvtNP3666/W35nZx33M+JrXXXedKleubC3XXnutDhw44H/+aK91tPoDAIByxO2WPv7YXkw6UDwepUwa5g8+vqWr1eamEbqI4CMAAED4BSDDntcr5aQHZzGvfZzMhD+zZ8+20qZLumldaoKzZoxMt9utd999VytWrLCCvp9//rn++9//WmVNANEE+1555RU9/vjj1nqDBg308MMPFwo+mm7vZ599thYtWqR//vOfuvLKKxUZGalWrVr5g4tmzM8mTZpo7ty5mjFjhtatW6cHHnjAv52jvVZR9QcAAOWMmYDwtdfs5RiTEZ4wd672f3SLEpZ+YK2+EjFEfe96WV1OqRqY1wMAACjHAt4Fu0zIzZBeqBOc1350uxR1fLM/mtnAt2/frqpVq6p9+/aHjZvpY7q/X3DBBVq1apW1boKAptXphAkTVL16dStvwIABeuedd/x/c88996hfv356/vnnrfWWLVtq3LhxWr9+vX+WcjOup2lZWfC1HnzwwcMCkEW91tHqDwAAypHISDModOC2n5upPR9eq+rbf1Se16nXKtynG//2oGokBLCrNwAAQDlGALKMMa0TDw3eme7qL730ktXV3Uz4Y7o6Z2Vlafjw4f6g4CWXXOIPCBomsNi0aVMrbbrPm79dtmzZYbOL+17LvMYPP/xgdZ82rRt9TMvL+vXr+9eP9VpHqj8AAECJyUrRrncvU80D85XljdQ71Z/QnUPuVoVobosBAAAChTut4xEZZ7dEDNZrF4PpulwwgLd3715rcp5evXrp1VdfVd26deXxeKxZyc04jr6g4EMPPVRoOyYQ6Bur0zxvWjm2adOmUJmVK1fqxhtv9JepUqXKYeNGGmbMSJ9jvdah9QcAAOWQxyP5Jils0MB08yiRzXrT92rn2xerdvpKpXpj9dEpL+qe6wcr0sWoRAAAAIFEAPJ4OBzH3Q062P78809ddtll/nUz43heXp7Gjx9vjb1ojBw5Ujk5OVYA0sw4blovmpnECzKBwH/84x9W2ozNaLZhWk3GHJyF8ueff7aCib5goRkLMjU1VbVr17YmujmS43mtQ+sPAADKocxMqXFjO52WJhVxb1EcOfu36MB/+ql2zmbt81bUdx1G6m/9L/XfHwEAACBw+Lm3jDGtG5cuXWqNpWgCfqZVYkpKir788kutWbPGagX51FNPWS0hTTdoE0Q0AcaCrQ5NkNDMXO1rIWkmljEBRjOWo+ku/fXXX+vWW2+1nvOVMbNVJyQkaPDgwVZA0UxI8+2332ro0KH+7R7Pax1afwAAUE7FxdlLCUjbvkrJI89VzZzN2uGtoj96faRrB/Qn+AgAAFBKCECWMc8995w1wYsJMD7zzDO66KKLrGChCQyeddZZ1hiQAwcOLNT92kwoU7CbtOkSXalSJTVq1MhaN60aP/jgA02ZMkXt2rWz0jfffLM1bqMJcBrm0bS2NMHEnj17qmPHjnr00Uf92zje1zq0/gAAoBwyLR7T0+3lJFs/7l87X7nv9VF1925t9NbWpgGT1PecniVWVQAAABybw+v1elXOmBaBZiZm08LOtNoryHQz3rBhgxo3buzvbozCTCtFM6Zk9+7d9cILLwRt93CsAADA0exY+qMqfHGdKipDq9VYnusnqlXTJuw0AACAAMfXDsUYkDimWbNmac+ePdbYjWZSGzOjtpkZe9KkSew9AAAQkjb9PkU1p92mGOVoibOVqtw2SfXr1A52tQAAAMolApA4pl27dunhhx+2um/XrFlT559/vv744w9/92sAAIASlZ0t3XOPnR4xQoqOLtafr/nhf2o06z5FOtyaF9FJDe/6XDW4bwEAAAgaumDTBTts0QUbAIAyyoz9WKHCCc2CveKrN9Ry/pNyOrz6Naan2t4zXokVTn4WbQAAABRGF2wAAACEr8hIMzNdfvo4Lf3kKbVb9ZrkkH6qeIm63vOBYqKjAldPAAAAHBe6YAMAACC0REVJjz12/OW9Xi3+cKhO2/w/a/WHater5x1vKiLCFbg6AgAA4LgRgAQAAEDY8rrztPg/t6jDninW+g/179G5tzwnh8MR7KoBAADgIAKQAAAACC1er7R3r52uVk0qIpiYl5Ol5SOuVoeUmfJ4Hfql5WM675oHSreuAAAAOCYCkAAAAAgtGRlSjRpHnYQmKyNVa9+6TO0z5ynH69L8Tv9Wz0tvK/26AgAA4JgIQAIAACCspCTt1faRl6ht7gpleKO1osdInXneVcGuFgAAAIpAABIAAAChxbR4NN2wj2Dvzi1Kfu8StXRvULI3XpsvHK3O3XqXehUBAABw/AhAAgAAICzs2LRa7tH91cS7Q3tVSQeumKBT23UNdrUAAABwDAQgAQAAEPI2rVqo2E+uUG3t1w5VV971k9WsadtgVwsAAADHgQAkAAAAQkt2tvTQQ3b6xRe1ZsXvqjblWlVWqjY56yvm1i9Vv+4pwa4lAAAAjhMByDKoR48eatq0qT744INgVwUAAKD48vKkN96wkisuPlsNf7lL8Y4s/RXRXNX/9qUqV6/NXgUAAAgj5TsAmZ4uVawoORz2ek6OlJFx+KDnbrf96HTml/V47HJm3eSXVFlTzpQ/wbJer1eLFy/WwCuvzH/No23XV7cjbddwuQ4vW3AbwSzrY9bNsTTi4gofz9xcKTJSiorKL2uOcVFlIyKk6Oj8bfu2GxubX7filDXlTHnzHmJi8sv6zjOT53t/xSlrvpiZ1iHmdczr+WRm2vuoOGXNezDvxXeeZWXZ+8XsnxMpa/LMc2afm33vO25mG76JBU6krHkP5r0UdTyLU7Y4x/5Ez5OijufJnidFHc8TOU+OdDxP5jw50vEsifPkSMfzRM8TrhFcI070POEaUbrXCJN///3auWW1mvx0u6Ij8rQ8op0a3jpeFeIS8stxjeA+gvsI7iO4j+C7Bt818v9P5LsG3zViSzkeURzecig5OdlEGL3J5u3v3p3/xHPPeTMbNvSu+OUXb2ZmZn7+ggVe77x5Xm9WVn7ezp123rp1hTe+aJGdn5GRn2dew+StWVO47JIldn5aWn7e3r123urVhcv++aedn5KSn7d/v523cqU/a/Xq1dZ7m/P++17vgQMF37RddtmywttdtcrO37cvPy811c5burRw2b/+svP37MnPS0+38xYvLlx27Vo7f9eu/DyzT03ewoWFy65fb+fv2JGfl51t582fX7jsxo12/rZt1jFasWKFN9O8hv2R8HpzcvLL3n+/nWcefczzvrIF98+TT9p5d91V+PUiIuz8rVvz8/79bzvvxhsLl01MtPPNfvIZMcLOu/LKwmXr1LHzzfni8+GHdl6/foXLNm1q58+enZ/36ad2Xs+ehcu2b2/nf/99ft7XX9t5nTsXLnvmmXb+pEn5eTNn2nmtWxcue/75dv64cfl5f/xh5zVsWLhs//52/qhR+XnmvDN51aoVLnvttXb+a6/l523YYOfFxRUue9ttdv5zzxX+bPmOZ0FDh9p5jz6an2c+Z76yBT9zpozJM39TkK/sIdcIK8/UpSBTV5Nv6u5j3pPJM++xILMPTH7Bz6LZVybP7LuCzL41+WZf+5hjYPLMMSnIHDOTb46hjzm2Js8c64LMuWDyzbnhY84Zk2fOoYLMOWbyzTnnY85Fk2fOzYLMuWvyzbnsY85xk2fO+YLMZ8Lkm8+Ij/nsmDzzWSrIfNZMvvns+ZjPpMkzn9GCzGfY5JvPtI/5rHONsHGNsHGNCJtrRF7fWK/3yQTvwhcv9GYtXcw1wof7CBv3ETbuI2zcR+TjGsE1gu8afNcopXiEP75mYk7HUMxwZTlnfk0wS8EWkiZCbPJM9PdIZX2t+HwRZZNnfuk/nrInYMGCBXK5XGrfvPkJ/T0AAECw7du8ynp0yat5iX106n1TFB1ToIUkAAAAworDRCFVzqSkpCgxMVHJ27croVatQt2sstLStGHnTjU+5RTF+Jqd+ro/+7oW7d4tVa1qByKHD5eeeEK67TbpvffyyyYk2E1VN2yQGjSwy775pjRsmHTttdJHH+WXNXXYu1datkxq3doORP73v9Lf/lbsLtgPPPCApk2bpmVLlhxf1+4w7oKdlZOjDRs2qHGjRorxlaV7Jd0rDbpX2p8HumDnX0/ogm1jmAYb14iQvUZ4PR79NvphdVv3jpQtzas5QJ3u+1BOs22GacjflwzlUvQ5xVAuRz9PGMrl5M4TvmvwXYP7CIZ74hqhgv+XpOTm2vG15GQlmDjYUZTvAOQRdlBWVpYd1GrcOD8A6eML0JkAZPXqdvr556XHH88PQPqY/8h8AchGjey811+X7rsvPwDpY7blC0C2aWPnmW0NGVLs93buueeqXr16GjNmjMq6ox4rAAAQVjxut/549w513f2plGN+5E21n0hLKxwgAAAAQMjH1w5FF+ziMDfAZqlWLT/vgQfsvBEjCpc1QUqTb1o/+tx9t533/vuFy27caOe3apWfd9NNOhGLFi1Sx44d/etnnHGG5s+fb6VvvPFGvfPOOye0XQAAgEDJy83RgjevtYOPkuY1u5edDQAAUIaU71mwi+tIv76bpvm+5vnHKmua8vu6hxxP2WJav369kpKS1KlTJ3/eE088oRdeeEHdu3dXhQoVdOeddxZ7uwAAAIGSlZmulW9dpdMzflWe16nFHZ/T6ZfeJQ18yC5QsBs3AAAAwhIByDLETEDjcDh02mmn+fMuvvhiPf7440pLS9PUqVODWj8AAICC0lIOaOPIAeqQvVjZ3kitOusNdb7gOvtJul0DAACUGXTBLkMWLlyoZs2aqWLFiv68P/74w2oVWalSJUX4BocHAAAIsn17dmj7G73VNnux0r0xWtt7tNr7go8AAAAoUwhAliHDhw/X6tWr/evbtm3TbbfdppkzZ2rNmjVauXJlUOsHAABgbN+yTqnvXKDm7r+UpAraMeAztel+cf7OycmRHnvMXkwaAAAAYY0AZBmVmZmpK6+8UiNGjLBmiX7wwQf13HPPBbtaAACgnNv411Lp/QvVyLNFe1RFqdd8paYdehQulJsrvfCCvZg0AAAAwhp9csuo2NhYzZ07179+zTXXWAsAAECwrFw8R9UnX61qStY2Ry1F3vyl6jdocXhBM2zM0KH5aQAAAIQ17ugAAAAQcIt+/U6nfH+zEh3p2hDRWJWHfKVKNesfuXB0tPT66xwVAACAMoIAJAAAAALqt+8/U7tf71acI1t/RbVWvbu/UlxiNfY6AABAOUEAEgAAAAHz86T31G3xQ4pyuLUi7nQ1vWeSouIqsscBAADKESahAQAAQInzer2aMe4lnbX4ASv4uKzSuWp53zfHF3xMT5ccDnsxaQAAAIQ1WkACAACgRHk8Xk3/72Pqs32k5JD+rNlfbW//QA4Xt54AAADlEXeBAAAAKDE5uW799M7f1Wf/R9b6skY36dQbX7dbMx6vuDhp9+78NAAAAMIaAUgAAACUiIzsHM196xb1TvvKWl/R+j61HfhU8TdkgpXVq3NUAAAAyggCkAAAADhp+5LTtOzta3Ve9s/yeB1a0+Vptb5oKHsWAAAABCABAABwcjbv3KNt7w1ST/cC5cqlLee8rha9bjjxDebkSC+9ZKcfeECKiuIQAQAAhDFaQAIAAOCELVu/WTljBqqbVipLUTpw8fs6pfOlJ7dHc3Olxx+30/feSwASAAAgzBGALIN69Oihpk2b6oMPPgh2VQAAQBk2e8lKVf3ianV0bFS6I045Az9R7VY9T37DERHSbbflpwEAABDWuKMrY7xerxYvXqyBAwcGuyoAAKAM+/qXP9R6xg06xbFDKc5ERdw4WZUbdiyZjUdHS++9VzLbAgAAQNARgCxj1qxZo9TUVHXq1CnYVQEAAGX0x85xX8/QefNvVx3Hfu2PqKkKQ75WVM3mwa4aAAAAQpSzNF7k7bffVuPGjRUTE2MFxn755Zciy/70009yOByHLatWrSpUbuLEiWrdurWio6Otx0mTJgX+jaSn24vXW3iQdJOXnX3ksh5P4fGMTF5W1vGVPQELFiyQy+VS+/btT+jvAQAAipLn9mjERxPVb/7NVvBxX0wjVb7nB4KPAAAACG4AcsKECbr33nv12GOPadGiRTr77LPVt29fbd68+ah/t3r1au3YscO/NGvWzP/c3LlzNWjQIA0ePFhLliyxHk2X499//z2wb6ZCBXvZuzc/z8zQaPLuuadw2Ro17PyC73PkSDvv1lsLl23UyM5fuTI/b/ToE6riwoUL1bJlS8XFxZ3Q3wMAABxJZo5br7z3oW5ac4+qOlK1N6G1qv79Bzkq1S/5HWZ+mI2PtxeTBgAAQFgLeADy1Vdf1a233qrbbrtNrVq10uuvv6769evrnXfeOerf1ahRQ7Vq1fIvplWfj9nGBRdcoEceecQKtpnH8847z8ov70wLyI4dS2j8JQAAAEn703P08og3NXTHQ6royNT+al1U7a7vpPhqgds/GRn2AgAAgLAX0ABkTk6OFRDr3bt3oXyzPmfOnKP+bYcOHVS7dm0rsDhz5sxCz5kWkIdus0+fPkVuMzs7WykpKYWWE5KWZi/VCtxsP/CAnTdiROGyu3fb+Q0a5Ofdfbed9/77hctu3Gjnt2qVn3fTTSdURdPK1BeANK0hL7zwwkLd1u82dQAAADhOm/dl6O03h+vh5GcV48hVUr1zVeVvX0oxCYHbh7Gx0oYN9mLSAAAACGsBnYRm7969crvdqlmzZqF8s75z584j/o0JOo4aNcoaK9IEDseOHWsFIc3YkD169LDKmL8tzjaHDx+up59++uTfkOkGdKioKHs5nrKRkfZyvGWLaf369UpKSvJPQNOuXTutWLHCSufm5ur555/XtGnTir1dAABQPi3blqyv339Wj7r/K6fDq9Rml6nS1e9JruLfpxSL02kPUQMAAIAyoVRmwTaTyBw6e+KheT4tWrSwFp9u3bppy5Ytevnll/0ByOJu03TRHjZsmH/dtIA03cDLGtPa1OyD0047zVqPiIhQvXr1rP1nJukZMGDAYYFbAACAI5m+fKdWTPinHnZOkBxSRvtbVLH/K3ZwEAAAAAiVAGS1atWssRsPbZm4e/fuYgXCunbtqnHjxvnXzZiQxdmmmSnbLGWd6XJtJuupWLGiP69Lly768ccf9d577+m3334Lav0AAEDoMz/q/nfWemn6Exoa8Y2Vl33m/ynugifML8ClU4ncXHvyPsMMH3MCPUMAAAAQOgL6E3ZUVJTVHXj69OmF8s36mWeeWaxxDU3X7IKtIg/d5vfff1+sbZZFpqu5mT28IBOANK0/77nnHsUfqas3AADAQblujx7/YpESpg/TkIPBR/cFzyu69z9LL/ho5ORI991nLyYNAACAsBbwLtgm+DV48GB17tzZChya8R03b96sO+64w989etu2bRozZoy1bmaybtSokdq0aWNNYmNaPprJU8ziM3ToUKs79osvvqj+/ftrypQpmjFjhmbPnh3otxN2mjdvbs0obmYhBwAAKEpyRq7+Pm6urtnyjPpGzJNHTjkufVOujoNLf6e5XNK11+anAQAAENYCHoAcNGiQ9u3bp2eeeUY7duxQ27ZtNXXqVDVs2NB63uSZgKSPCTref//9VlAyNjbWCkR+88036tevn7+Maen4ySef6PHHH9cTTzyhJk2aaMKECTrjjDMC/XbCzsiRI/XSSy9ZXeEBAACOZOPedN314Sw9kvKcznYtk8cZKeeVH0itLw3ODouJkT76KDivDQAAgBLn8JqBfsoZMwlNYmKikpOTlZCQUOi5rKwsbdiwQY0bN1aMufkNU+vWrbOCtn369NGbb76psqisHCsAAILpt/X79ODYn/SG+wV1cK6VJyJOzms+lpr04sAAAADghOJrQZkFG6XPtAo9dDxIAACAgj6bv0WvTZqlD1zD1dK5RZ7oSnIOnijV68yOAgAAQIkhAAkAAFDOeDxevfT9an398xyNjxyuhs7d8laoJefgSVLN1sGunpSeLjVqZKc3bpSYSA8AACCsEYAEAAAoRzJz3LpvwmKtXzFPn0cNV01HkryVG8kxeLJUpbFCxt69wa4BAAAASggBSAAAgHJiV0qWbvvffLm2L9CnUS+qkiNdqtFaDtPysWIthYzYWGnZsvw0AAAAwhoBSAAAgHJg2bZkK/jYJG2e3ot+VXHKlup2lq77TIqropDidEpt2gS7FgAAACghBCABAADKuIkLturRSX/qHM9veitqhKKUJ51yjjToIym6QrCrBwAAgDKOACQAAEAZlZPn0XPfrNCYuZt0petn/TvqPTnlkVpdIl3xvhQRrZCUmyuNHm2nb7pJiowMdo0AAABwEghAAgAAlEG7U7N090cLNW/jAd3imqZ/Ro61nzjteumSNyRXCN8G5uRIt99up6+9lgAkAABAmAvhO08AAACciAWbDujOcQusIOTD0V/oDsdE+4lu90i9n5McjtDesS6X1L9/fhoAAABhjQAkAABAGeH1evXxH5v11JfLled26/WK4zUg9xv7yXMfl86+P/SDj0ZMjDR5crBrAQAAgBJCABIAAKAMyMp168kpyzVh/hZFKE8Tqo9Rl9QZ9pP9Xpa6DAl2FQEAAFBOOYNdAZS8M888U7f7xk0CAABl3vakTA16d64VfIx15GhG3ffs4KPDJV3+HsFHAAAABBUByDLG4/Fo6dKl6tixY7CrAgAASsHcdft0yVuztWRrsurG5mpu/bfVaN8vUkSMdPXHUruB4XccMjKkRo3sxaQBAAAQ1uiCXcasWrVK6enpBCABACgH4z2+P3uDhk9bJbfHq641vRoT9bKidv8pRVWUrv1EanSWwpLXK23alJ8GAABAWCMAWcYsXLhQERERateuXbCrAgAAAiQtO0+PfvGnvlyy3Vq/uW2knjjwqJx71khxVaXrv5DqnBa++99MQvPHH/lpAAAAhDW6YBdDRk6etZgWBz45eR4rLzvPfcSyHk9+2Vy3XdYMEn88ZU80ANm6dWvFHOFm/c4779SHH37oX9+0aZNatGhxQq8DAACCY9m2ZF385i9W8NHldOiVc+P1zz33yblvjZRQT7r52/AOPhoul3T66fZi0gAAAAhrBCCLofU/v7OW/ek5/rxRs9ZZeWbWyYI6PTvDyt+WlOnPGzN3k5X30MSlhcqe9eJMK3/tnjR/3ucLtp5wALKo8R+XLVumtm3bFlo/9dRTT+h1AABA6TI/gH4we4Muf3uONu7LUJ3EGE25IkFXLLlNjuStUtWm0i3fStWbc2gAAAAQUuiCXca+mCxevFhXXnnlEZ9fuXKl2rRp418nAAkAQHg4kJ6jBz5fohkrd1vrvVvX1CtdM1Rx4jVSdopU61Tp+klSheoqE/LypAkT7PSgQVIEt6wAAADhzOEt2J+4nEhJSVFiYqKSk5OVkJBQ6LmsrCxt2LBBjRs3Pqwbs+kmbcRGuuRwOPxdsPM8HqsLVHSE67CyMREuOZ0Of7dqszgdDsVEHrtspKt4DVTXrl2rZs2a6ddff9WZZ55Z6Llt27apZ8+eVhmf66+/Xpdffrm1hKOjHSsAAMqK39fv09BPFmtnSpaiXE49fnErDa66Wo5Pb5TyMqUG3aRrJ0gxiSoz0tOlChXsdFqaFB8f7BoBAACgGPG1Q/FzcjHERR2+u6IinIo6Qk/2I5U1AcUjBRWLKnsi3a8Nl8tltW70bysy0hrv8dDu1qbMk08+WezXAQAAgWdmth7x41q98cNfMsNEn1ItXm9d20Ft9s+QPrld8uRJTS+QBo6RouLK1iFxOqXzz89PAwAAIKwRgCxDFi1aZD127dq1UL5Zv+GGG9SgQQN/3v79+63FtJgEAAChZWdyloZ+ski/b9hvrV/RsZ6e6d9G8X+Okb4eZgZekdpeIQ34jxQRpTInNlaaPj3YtQAAAEAJ4SflMmT48OHWOJCHLnPnzrWCj/PmzVNOTo7cbrceeeQR3XzzzcGuMgAAOMSPq3ap35u/WMHHuCiXXh3YXq8MbK/4P96Uvr7PDj52vkW6/L2yGXwEAABAmUMLyHKiX79+mjZtmpo3b67o6Gj17dtXjz32WLCrBQAADjLjSv/721X67+wN1nqbOgl665oOVtdrTf+n9OsbdsGzhknn/VM6OB41AAAAEOoIQJYTZtKcESNGWAsAAAgtG/am6x/jF+nPbcnW+s3dG+nhvi0VbfqqfPUPaeEYu+AFz0jdh6rMy8iQTj/dTs+bJ8WVsTEuAQAAyhkCkAAAAEHi8Xj1v7kb9eK3q5SV61GluEi9dGV7XdC6ppSXLX1+u7RisuRwShe/LnW6sXwcK69XWrEiPw0AAICwRgASAAAgCDbvy9ADny/xTzTTvWlVK/hYp1KslJMuTbheWvej5IyUrviv1GZA+TlOMTHSzJn5aQAAAIQ1ApAAAAClyEwQ99Hvm/XC1JXKyHFbE8080q+Vrj+jgTVkijIPSB8Pkrb8LkXGSYPGSU3PK1/HyOWSzjkn2LUAAABACSEACQAAUEq2J2XqoYlL9cuavdZ6l8ZV9PKV7dWg6sExDlN3SeMul3Ytk2ISpes+l+p34fgAAAAgrBGABAAAKIVWj5/N36pnv16h1Ow8xUQ69WCflrrpzEZyOg/OZn1gkzR2gLR/vRRfQxo8SarVtnwem7w86euv7fTFF0sR3LICAACEM+7mAAAAAmhXSpYenrhUM1fvsdY7Nqikl69qr1OqV8gvtHuVHXxM3SFVaiANnixVbVJ+j0t2tnTZZXY6LY0AJAAAQJgjAAkAABCgVo+TF2/Tk1OWKyUrT1ERTv3fBc1129mnyOVr9WhsWyCNu8Ie+7F6S7vlY0Kd8n1MnE7pzDPz0wAAAAhrBCABAABK2J7UbD026U99v2KXtd6uXqJeuaq9mtWsWLjghlnS+GuknDSpTkfp+olSXBWOR2ys9Ouv7AcAAIAyggAkAABACfF4vPp8wVa9MG2lkjJyFely6B/nNtOd5zRRhOuQlnyrvpE+u1lyZ0uNe0hXfyxFHxKgBAAAAMoAApAAAAAlYPXOVD0++U/N23jAWm9VO8Fq9di6TsLhhRePl6bcLXndUsuLpSvelyJjOA4AAAAokwhAAgAAnISMnDy98cMavf/LBuV5vIqLcmnYBc2tGa4Pa/Vo/PYf6duH7HT7a6RLR0gubskKycyUevSw07NmyeqSDQAAgLDF3W4ZdOaZZ6pt27YaNWpUsKsCAECZNn3FLj315XJtS8q01vu0qaknL2mjOpWOEDDzeqWfX5R+Gm6vn3GH1Gc4k6wciccjzZ+fnwYAAEBYIwBZxng8Hi1dulQ33HBDsKsCAECZZQKOJvBoApBG3UqxeqZ/G53XquaR/8AE0b57RPr9P/b6OY9KPR+UHAVmw0a+6Gjp66/z0wAAAAhrBCDLmFWrVik9PV0dO3YMdlUAAChzct0efTB7g16fsUaZuW5FOB0a0uMU/f3cpoqLKuK2yp0nfXmPtGS8vX7hi1LXO0q13mEnIkK66KJg1wIAAAAlhABkMcd4KorT4VBMpKtEyxb5ReYoFi5cqIiICLVr167YfwsAAIo2f+N+PTZpmVbvSrXWuzSqoucua6vmNY8yc3VulvT5LdLqbySHSxrwttT+anYzAAAAyhUCkMXQ+p/fFflcrxbV9eHNXfzrnZ6dYbWMOJIzGlfRhL9186+f9eJM7U/POazcxn9ddEIByNatWysm5vCZNF955RWlpKTo6aefLvZ2AQAor8z/0S9OW6UJ87dY65XjIvVov1a6slM9OY7WhTo7VRp/jbTxF8kVLV01WmrZr/QqHs7cbunHH+30uedKrvwfbgEAABB+CECWMSYAWVT362XLlqlv376lXicAAMJRdp5bo3/dqBEz1yo1y+6tcPXp9fXQhS1VOT7q6H+csV8ad4W0faEUVUG6ZrzU+OCszji2rCypd287nZYmxcez1wAAAMIYAchiWPFMn6N2qy5owRPnH3fZ2Q/1Uknwer1avHixrrzyyiIDkA888ECJvBYAAGWV+f/0mz936F/TVmnrAXt269a1E6xJZjo3qnLsDaRsl8ZeJu1ZJcVWka6fKNVlbOZicTql9u3z0wAAAAhrBCCLoThjMgaq7NGsW7dOycnJR2wBab5MmeebN29eIq8FAEBZtGDTAT3/zQot3JxkrddMiNb9vVvo8o715HIex4zV+9ZJYwZIyZulinWkwZOkGi0DX/GyJjZWWrw42LUAAABACSEAWca6Xxsul8tq7egTGRlpTUxTr1496xEAABS2ZX+G/vXtKn2zdIe1Hhvp0h09m2hIj8bH/0Phzj+lsZdL6bulKqdIgydLlRuyqwEAAFDuEY0qQxYtWmQ9du3atVC+WX/44YfVpk2bINUMAIDQlJyZq5Ez11pjPea4PTKjpAzsVF//17u5aiQcPqFbkTb/Ln18lZSVLNVsK13/hVSxZiCrDgAAAIQNBtUpQ4YPH251tT50mTt3rtUism3btsGuIgAAISHX7dHoXzfonJdmatSs9Vbw8aym1fTN38/Wi1e2K17wce0MaewAO/hY/wzppm8IPp6szEzpnHPsxaQBAAAQ1mgBWU4sX75c33//vd577z1/q8hPPvkk2NUCAKBUmR/mpq/YZU0ws35vupXXtEYFPdavlc5pUV2OQyaKO6blk6SJQyRPrtT0fGngGCmKGZtPmscj/fxzfhoAAABhrVRaQL799ttq3LixYmJi1KlTJ/3yyy9Flv3iiy90wQUXqHr16kpISFC3bt303XffFSozevRo6wvCoUtWVlYpvJvw9PHHH2vv3r3auHGjtRB8BACUt8DjzFW71X/kr7p97AIr+Fg1PkrPDWirb4eerV4taxQ/+Ljgf9Lnt9jBx9YDpKvHE3wsKdHR0qef2otJAwAAIKwFvAXkhAkTdO+991pByO7du+vdd99V3759tWLFCjVo0OCw8rNmzbICkC+88IIqVaqkDz/8UJdccol+//13dejQwV/OBCdXr15d6G9NgBMAAKBg4PHnv/bo9RlrtHhLkn+CmZu7N9Kd5zRRxZjIE9tZv74hTf+nne54o3Txa5LTxY4vKWbSvKuuYn8CAACUEQEPQL766qu69dZbddttt1nrr7/+utWi8Z133rHGLDyUeb4gE4icMmWKvvrqq0IBSNNKoVatWoGuPgAACNPA4+y1e/Xa9L+0cLMdeIyJdOqGbo10e49TVK3CCbaq83qlH56WZr9mr3cfKp3/tLkxKcHaAwAAAGVLQAOQOTk5WrBggTUDc0G9e/fWnDlzjmsbHo9HqampqlKlSqH8tLQ0NWzYUG63W6eddpqeffbZQgHKgrKzs63FJyUl5YTeDwAACG3W5Gvr9unV6X9p/qYDVl50hFODuzbU33o2UfWKJ9Gd1+OWvvk/acGH9vr5T0ln3VdCNUchbrf02292umtXyUXrUgAAgHAW0ACkGXPQBAhr1qxZKN+s79y587i28corryg9PV0DBw7057Vs2dIaB/LUU0+1golvvPGG1b17yZIlatas2WHbMC0tn3766RJ4RwAAIFT9tt4OPP6xYb+1HhXh1HVnNNCdPZsUb1brI8nLkSb9TVr+hemHYXe57nxzyVQchzPjep91lp1OS5PimdgHAAAgnJXKLNiHDupuWiccz0Dv48eP11NPPWV1wa5Ro4Y/38zgbBYfE3zs2LGj3nrrLb355puHbeeRRx7RsGHD/OsmaFm/fv2jvrapI0IbxwgAYJiAo+lqPXf9Pms9yuXUNV3q685zmqpWYgmMD52TIX16g7R2uuSMlC5/V2p7BTs/kMx9YtOm+WkAAACEtYAGIKtVqyaXy3VYa8fdu3cf1irySJPXmLEjP/vsM51//vlHLet0OnX66adrzZo1R3w+OjraWo5HZKQ9GH1GRoZiY2OP628QHOYYFTxmAIDyw+Pxaubq3Xp31np/i8dIl0NXn95Ad/VqotqJJfR/eGaSNP5qafNcKSJWGjROanb0+xKUgLg4qYj7OgAAAISfgAYgo6Ki1KlTJ02fPl2XXXaZP9+s9+/f/6gtH2+55Rbr8aKLLjqulnCLFy+2umSfLBMwNbNvmyCpERcXd1ytNVF6zPE2wUdzjMyxMscMAFA+ZOe5NXnRNr33ywat3Z1m5UU4HRp4en3d3aup6lYqwR8P03ZL4y6Xdv4pRSdK106QGnYrue0DAAAA5UTAu2Cbrs+DBw9W586d1a1bN40aNUqbN2/WHXfc4e8evW3bNo0ZM8ZaN0HHG264wRrX0XSz9rWeNK0RExMTrbQZz9E8Z8Z7NN2pTbdrE4AcOXJkidTZN7u2LwiJ0GSCj8yEDgDlQ3JGrsb9vkmj52zUnlR7YrmK0RG69owGuql7o5Jr8eiTtFkaM0Dav06Kry5d/4VUu13JvgYAAABQTgQ8ADlo0CDt27dPzzzzjHbs2KG2bdtq6tSp1gzWhskzAUmfd999V3l5ebr77rutxefGG2+0Jp4xkpKSdPvtt1vBSROUNLNfz5o1S126dCmROpsWj7Vr17bGnczNzS2RbaJkmW7XtHwEgLJv64EMvT97gybM26KMHLeVVyshRrec1UhXd2mghJgADMOx5y9p7AApZZuUWF8aPFmqdnA8QpTeJDRXHBxnc+JEKaYExvIEAABA0Di85XAmD9Nq0gQuk5OTlZCQEOzqAACAQyzblmyN7zj1zx1ye+xblZa1Kur2Hqfo4nZ1rBmuA2L7ImncFVLGPqlaczv4mFiX41Pa0tOlChXsNLNgAwAAhH18rVRmwQYAADieiWV+/muP3vtlveass2e0Ns5qWs0KPJ7drFpgx2XeOFv6+GopJ1WqfZrd7Tq+KgcuGKKipA8/zE8DAAAgrBGABAAAQbU/PUefzt+ij3/frM37M6w8l9Ohi9vV1pCzT1HbuvYY0AG1+lvpsxulvCyp4VnSNeOlGHpJBE1kpHTTTcF7fQAAAJQoApAAAKDUmRFgFmw6oHG/bdLUP3cqx+2x8ivGRGhg5/q65azGJTuj9dEs/VSadIfkdUvN+0pXfShFltJrAwAAAOUAAUgAAFBq0rLzNGnRNn302yat2pnqzz+1bqKu79pAl7Svo7ioUrw9+eM9aer9drrdIKn/SMkVgIltUDxut/Tnn3b61FMll4s9CAAAEMYIQAIAgIBbuSPFau04edE2pR+czTom0qlL2tXR9V0bqn39SqV7FMwcfLNelmY+Z693uV268EXJGaDJbVD8WbA7dLDTTEIDAAAQ9ghAAgCAgMjKdWvash0a99tmq7u1zynV43XdGQ11Zcd6SowLQmtDE3z87jHpt5H2es+HpHMekQI5wQ2KxxyLOnXy0wAAAAhrBCABAECJj+04ceE2fb10u1Kz8uwbDqdDfdrU0nVdG6jbKVUDO5v10bjzpK+GSovH2et9hkvd7gpOXVC0uDhp2zb2EAAAQBlBABIAAJy0Lfsz9MXCbfpi0VZt2mfPZG2YiWSuPr2+Bp1eXzUSYoK7p/OypYm3Siu/khxO6dIRUofrglsnAAAAoBwgAAkAAE5ISlaupv25QxMXbNMfG/f78+OjXOp7am1d3rGuujauKqczBLrQZqdJn1wrbfhZckVJV34gtbok2LUCAAAAygUCkAAA4LjluT2avXav1cX6++U7lZ3nsfJNj+qzmlazgo6mq3WpzmR9LBn7pY+ukrbNlyLjpWs+lk45J9i1wrEmoRk82E6PHSvFBLn1LAAAAE5KCH07AAAAoTqu4+ItSfpm6Q5NWbJde1Kz/c81rVFBV3SspwEd6qh2YqxCTsoOaexl0p6VUkwl6fqJUr3Owa4VjsXtlj7/3E6PHs3+AgAACHMEIAEAwGE8Hq8WbUnS1D936NtlO7UtKdP/XJX4KF3avo4VeGxbNyF4E8ocy/4N0pj+UtImqUItafAkqWbrYNcKxyMqShoxIj8NAACAsEYAEgAA+IOOCzYf8AcddyRnFRrX8dxWNXVJu9o6p0UNRUU4Q3uv7Vpht3xM2ylVbiTdMMV+RHiIjJTuvjvYtQAAAEAJIQAJAEA55vZ4NX/jfk1btlPTlu3QrpT87tUVoiN0fqsa1oQyPZtXV0ykS2FhyzzpoyulrCSpRmu75WPFWsGuFQAAAFBuEYAEAKCcycnz6I8N+/Xd8p36dvnOQmM6VoyO0AWta6rfqbV1VrNq4RN09Fk3U/rkOik3Xap3unTtp1JclWDXCsXl8Ujr1tnpJk0kZ4i3uAUAAMBREYAEAKAcMEHGn1bv1o+rduuXNXuVlp3nfy4hxgQda+midrXUvWk1RUeEWdDRZ8WX0sRbJXeOdEovadA4KbpCsGuFE5GZKTVvbqfT0qT4ePYjAABAGCMACQBAGZ25evn2FCvg+MOq3Vq6NUleb/7z1StG69wWNXThqbXUvUm10B/T8VgWjpW++ofk9UitLpWu+K8UER3sWuFkJCay/wAAAMoIApAAAJQRmTlu/bp2rxVwnLlqt3am5E8iY5xaN1Hntqyh81rVUNs6iXI6Q3T26uKaM0L6/jE73eF66eI3JBe3OGHNtHhMSgp2LQAAAFBCuDsHACCMWzmu3pWq2Wv2avbavZq7bp+y8zz+5+OiXDqraTUr4NirRQ3VSIhRmWKadP74nPTLy/Z6t3uk3s9JjjISWAUAAADKCAKQAACEkW1Jmfr1YMBxzrq92puWU+j5epVjdV7LGjq3VU2d0bhK+E0iU5xJSqY9KM17z14/9wnp7P8j+AgAAACEIAKQAACEsOSMXM1dbwccf127Txv2phd6PjbSpTNOqWK1dOzRvLqa1aggR1lvAejOlSbfKf35mSSH1O8lqcuQYNcKJSk7W/rb3+z0u+9K0YznCQAAEM4IQAIAEELM7NQLNx3Q3PX7rPEc/9yWXGjyGJfTofb1Eq2Ao5mxukODyuE/gUxx5GZKn94orflOckZIA/4jtbsq2LVCScvLk/73Pzs9ciQBSAAAgDBHABIAgCDak5qt+Rv364+N+zVv436t2J4iT4GAo2FaNZpgowk6mtaOFWMiVS5lJUvjr5E2/SpFxEgDx0jN+wS7VgiEyEjp3//OTwMAACCsEYAEAKAUJ43ZvD9Df2ywg43zNh44rEu1Ub9KrE5vZHerNoHHmmVt8pgT4c6TxvSXti+SohOkaz6RGnUPdq0QKFFR0gMPsH8BAADKCAKQAAAESHaeWyt3pGrx5gNWsNEEHXenZhcqY4ZrbFGzohVwPL1xFXVpVEW1Egk4HsYVIXW4XkraIl0/UapzGuctAAAAECYIQAIAUAI8Hq827kvXkq1JWrw5SYu3Jmvl9hTluD2FykW6HGpXr5IVcOzSuLI6NaiixDi6mB6X02+T2lwuxVXhnC3rzCznO3bY6dq1JWc5GucUAACgDCIACQDACdiblm0FGq2A45YkLdmSpJSsvMPKVYmPUrt6iercsLIVdGxfv5JiIl3s8xNF8LF8yMyU6tWz02lpUnx8sGsEAACAk0AAEgCAY4zbaLpNL9+ebE0Qs3x7ipZuTda2pMzDykZHONW2bqLa16uk0xpU0mn1KlnjOTpMP2sAxbxL5TYVAACgrODODgCAAt2oN+xL9wcaTdBx5Y4U7U3LOWwfmZhi0+oVrBaNpx1cWtSqqEgXXUWBk2ZaPObmsiMBAADKCAKQAIByKTUrV2t2p+mvnalascMOOJpgY0aO+7CyTofUpHoFtamToNZ1EtS2TqLa1ktUQgxjNwIAAADAsRCABACUaZk5bq01gcZdqQWWtCN2ofZ1o25ZO8EKNtpLojVLdWwU4zYCAAAAwIkgAAkAKDOBxvV70woEG+3Hzfsz5PUe+W9qVIxW85oV1ap2RSvQaAKOjavFK4Ju1EBwZWdLw4bZ6VdflaKjOSIAAABhzOE1o+uXMykpKUpMTFRycrISEhKCXR0AQDHGaNyenKn1e9K1fk+a1u9N96e3J2cV+XeV4yKt8RlNsDF/qaBKcVHseyAUpadLFSrYaWbBBgAACPv4Gi0gAQAhxfwuZiZ92bw/XZv2ZdgBxr1p1uOGvenKzvMU+beV4iKtsRp9AUbTdbpZzYqqViGKmaiBcBIZKT35ZH4aAAAAYY0AJACg1OW5PdYYjCbAaLpIm2XTPjvguGV/htKPMBGMT6TLoYZV43VKtXidUr3CwUc7XSWeFo1AmRAVJT31VLBrAQAAgBJCABIAUOLcHq92p2Zp24FMK9C49YBvMYHGDCvPlCmKwyHVTohRg6pxalytgppYAUYTdKygepVjGaMRAAAAAMIIAUgAQLFl5bq1K8UOMG5NyiwQaLSDizuSspR3lACjERXhVIMqcWpYJc4KNJpH07LRpE2QMTqCWaeBcssMUZ6cbKcTE+1fJQAAABC2CEACAApJz87TjuQs7TRLinnM9K9bjylZ2p+ec+z/YJwO1UqMUd1KsapbOVb1KtuBRV+g0cxA7XQSVABwBBkZUuXKdppJaAAAAMIeAUg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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "6ea6f228d8f740be81c433cfad973910", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(FloatSlider(value=0.0, description='L_L', max=0.0, min=-5.0), FloatSlider(value=1.0, des…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def tangent(I_x, I_y, S):\n", " \"\"\"Get x,y to plot a line with slope S around the coordinate .\"\"\"\n", " x = numpy.linspace(I_x - 1, I_x + 1, 2)\n", " y = -S * I_x + I_y + S * x\n", " return x, y\n", "\n", "\n", "def plot_logistic(L_L=0, L_U=1, I_x=0.0, S=0.5, c=1.0):\n", " theta = (L_L, L_U, I_x, S, c)\n", " X_MIN, X_MAX = -5, 5\n", " X = numpy.linspace(-5, 5, 100)\n", "\n", " # get key properties to visualize\n", " I_y = calibr8.asymmetric_logistic(I_x, theta)\n", "\n", " fig, ax = pyplot.subplots(figsize=(16, 6))\n", " ax.plot(X, calibr8.asymmetric_logistic(X, theta))\n", " ax.plot(*tangent(I_x, I_y, S), label=\"$tangent$\")\n", "\n", " ax.axvline(I_x, linestyle=\":\", color=\"red\", label=\"$I_x$\")\n", " ax.axhline(I_y, linestyle=\":\", color=\"red\", label=\"$I_y$\")\n", " ax.axhline(L_U, linestyle=\":\", label=\"$L_U$\")\n", " ax.axhline(L_L, linestyle=\"--\", label=\"$L_L$\")\n", "\n", " ax.set_xlim(X_MIN, X_MAX)\n", " ax.set_ylim(L_L - 0.5, L_U + 0.5)\n", " ax.legend(loc=\"center left\")\n", " pyplot.show()\n", "\n", "\n", "plot_logistic()\n", "ipywidgets.interact(\n", " plot_logistic, L_L=(-5.0, 0), L_U=(0.0, 5), I_x=(-5.0, 5), S=(-2.0, 3), c=(-2.0, 2)\n", ");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Summary\n", "+ The generalized logistic function can describe relationships with lower & upper satuation\n", "+ Even in cases of \"good linear relationships\", the GLF is applicable\n", "+ The original parameterization is not very intuitive, but was reparameterized such that 4 of 5 parameters are interpretable" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Last updated: Wed, 15 Apr 2026\n", "\n", "Python implementation: CPython\n", "Python version : 3.13.12\n", "IPython version : 9.11.0\n", "\n", "calibr8 : 7.2.0\n", "ipywidgets: 8.1.8\n", "matplotlib: 3.10.8\n", "numpy : 2.4.2\n", "platform : 1.0.8\n", "\n", "Watermark: 2.6.0\n", "\n" ] } ], "source": [ "%load_ext watermark\n", "%watermark -n -u -v -iv -w" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.13.12" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": { "00216450da264e2187a91104f2391d67": { "model_module": "@jupyter-widgets/base", 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\n", 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\n", 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\n", 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\n", 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