{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Example - 2CDE Method\n", "\n", "*This notebook is part of smFRET burst analysis software [FRETBursts](http://tritemio.github.io/FRETBursts/).*\n", "\n", "> This notebook implements the 2CDE method from [Tomov 2012](http://dx.doi.org/10.1016%2Fj.bpj.2011.11.4025).\n", ">\n", "> For a complete tutorial on burst analysis see \n", "> [FRETBursts - us-ALEX smFRET burst analysis](FRETBursts - us-ALEX smFRET burst analysis.ipynb)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Load Data" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " - Optimized (cython) burst search loaded.\n", " - Optimized (cython) photon counting loaded.\n", "--------------------------------------------------------------\n", " You are running FRETBursts (version 0.6.4).\n", "\n", " If you use this software please cite the following paper:\n", "\n", " FRETBursts: An Open Source Toolkit for Analysis of Freely-Diffusing Single-Molecule FRET\n", " Ingargiola et al. (2016). http://dx.doi.org/10.1371/journal.pone.0160716 \n", "\n", "--------------------------------------------------------------\n" ] }, { "data": { "text/plain": [ "'0.8.0'" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from fretbursts import *\n", "from fretbursts.phtools import phrates\n", "sns = init_notebook()\n", "sns.__version__" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import fretbursts as fb" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "URL: http://files.figshare.com/2182601/0023uLRpitc_NTP_20dT_0.5GndCl.hdf5\n", "File: 0023uLRpitc_NTP_20dT_0.5GndCl.hdf5\n", " \n", "File already on disk: /Users/anto/src/FRETBursts/notebooks/data/0023uLRpitc_NTP_20dT_0.5GndCl.hdf5 \n", "Delete it to re-download.\n" ] } ], "source": [ "url = 'http://files.figshare.com/2182601/0023uLRpitc_NTP_20dT_0.5GndCl.hdf5'\n", "download_file(url, save_dir='./data')" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "filename = \"data/0023uLRpitc_NTP_20dT_0.5GndCl.hdf5\"" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "# Total photons (after ALEX selection): 2,259,522\n", "# D photons in D+A excitation periods: 721,537\n", "# A photons in D+A excitation periods: 1,537,985\n", "# D+A photons in D excitation period: 1,434,842\n", "# D+A photons in A excitation period: 824,680\n", "\n", " - Calculating BG rates ... " ] }, { "name": "stdout", "output_type": "stream", "text": [ "[DONE]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " - Performing burst search (verbose=False) ..." ] }, { "name": "stdout", "output_type": "stream", "text": [ "[DONE]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " - Calculating burst periods ..." ] }, { "name": "stdout", "output_type": "stream", "text": [ "[DONE]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " - Counting D and A ph and calculating FRET ... \n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " - Applying background correction.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " [DONE Counting D/A]\n" ] } ], "source": [ "d = loader.photon_hdf5(filename)\n", "#bpl.plot_alternation_hist(d)\n", "loader.alex_apply_period(d)\n", "d.calc_bg(fun=bg.exp_fit, time_s=20, tail_min_us='auto', F_bg=1.7)\n", "d.burst_search()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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JEyfSpUsX+vbty7Jly6rleqLmHd21AZ1vAE2u6+buUGpERLP2dL/9YTKTE/jvf9+SZSWF\nEBVSalPz/PnzWbJkCR06dGDXrl3cf//9bN68maioKAYNGsRtt93GtGnTqhzA4cOHmTx5Mg888IBT\n+aRJk/Dx8WHHjh0cO3aMhx56iJYtWxITE1Pla4qak512jvOnDtLxppGo1F7uDqfGNG7blc4D72Lf\n7pW8/PLLTJ78gszxFUKUS6mfFKmpqXTo0AGAbt264eXlRVRUFADh4eEYjdXTxHbkyBHatm3rVJaf\nn8+WLVuYNGkSWq2Wjh07Mnz4cL777rtquaaoOcf3bkWt0dKiFjYzV1R0xx6MHTuOLVu28O67/y0a\nhCWEEFdTauK9cpnIi/vxXlQdHzIFBQUkJCSwaNEievbsyZAhQ1i+fDmJiYmo1eqiRA8QHR1NfHx8\nla8pak5GRjpJR/bSLKa3x+9CVF1GjLidBx98kI0b1zN37keSfIUQZbrqqGaj0YjD4Sj6MLny56pK\nT0+nS5cu3HXXXcyZM4cDBw4wYcIE7r///mKJXqfTlauWHRzsg1rtmaskhYf7uzuEq6pqfJ98sg4U\n0KHXUDTaS79aXlo1ai+VU1lFyzVadbWcpzrLrWYVKpWVUaNGkZqaysqV3+Lvr2Ps2LEEBweXusa5\nO9T13z0hapNSE6/BYKBz585FPzscjqKfHQ5HtXyoREVF8dVXXxX9fMMNNzBixAj27t2LyWRyOtZo\nNOLj41PmOfV6Q5Xjqgnh4f6kpeW6O4xSVSS+wvmueqeytLRUli1bQZP23dD4BGM2WYvus5is2LE5\nlVWkXKNVYzZZq3ye6i7P0+t59et0gsPDMfvfiDryJG+++wmrdiXy2fTJBAeHlPj6uVpd+t1zFfki\nIGpSqYl369atNX7xQ4cO8dtvvzF+/PiiMpPJRGRkJBaLheTkZBo0KNxKLiEhgRYtWtR4TKJsWVl6\n3lyxF53PpQ+nfZu/5rw+n4H/qj0LZlQHrY8/3n6BqLys9PjXBHDYObJzPVu2tGfUqNHuDk8I4YFK\nTbwNGzas8Yv7+Pjw4Ycf0rhxYwYNGsTu3btZt24dX331Fbm5ucyaNYvXX3+dEydOsHbtWubNm1fj\nMYny0f0zrxUgJyOFM4d/p2mH7vgEeEYtzx2UShXdb38EoyGXuXM/on79CHr37uvusIQQHqbMlatq\nUnR0NO+99x7vvvsuzz//PPXr12fGjBm0b9+e6dOn8+qrr9KnTx98fHx45pln6NSpkzvDFSVwOBz8\nuflrVF6aa2Ikc1lUajXdbnmQrN1fMWPGNLy9venaNdYl176yC8DhcJCfn8e5c1bOnDkPKFAqlQQG\nBhEcHIxGoyEoyLP6ooW4Frg18QL069ePfv2Kf2AHBQXx/vvvuyEiURHJJ/aTfPIAnQeOdmp6vpap\nNVpefPEV3nhjKq+99jIzZrxDhw4dq+38JfWxA5w9e4a3lmwmNy2Z7PRkstOSsZgLsNusgAKlynnQ\nobdfEEN63UDXrrF069aT+vXrV1uMQojSlZl48/Ly8PPzK/Z/ISymAv7Y+BWB4Q1p1XUAOenn3R2S\nx/Dz82PGjHeYPPlxnntuCi+9NJXu3XuWmDCBCtU8L/axe2l0ZCYncCHxCKmJx8g4dwqFSo3W24+g\n+lFEd4rDP6QeOKyovQPx9Q/Gbrdiys8hPzuTjHOnOH78GLt37+LDD9+nefMWDBkyjP79B8nfuRA1\nqNTEu2rVKnr27MngwYPZt28fUFg73bNnj8uCE57tj41fYcjR03/sCyhVbm888TjBwSG8++4HvPzy\nC7z22ksMG3YrpzWt8b2iH9xoyOXFkTeUOgra4XBQUFBAdnYWp08ncPDg3/yx8Tcyzidgs5hRKJWE\nNWxO69jB1G/egajWMSiVl2q3+VnnsaPBPyjU+bp52UwZ0pq8vDx27vyNbdu28uGH7zN//lyGDbuV\n0aPHeMzIbCHqklI/LQ8dOsS8efMwGo089dRTdOnSBZvNhtVqRa2WD9lrXdKxP0g48Bvte91KeFRL\nd4fjsYKDQ3jnnff56KP3WbVqBTk2La1uHEj96Hb4BITgcNgx5mbxxx97MZvNpKenkZmZQXp6Gunp\n6WRnZ5Gdne20HrTVaqVAHUTzmN5ENGtPvSZt8NJ6k3XhLCqtj1PSvZqL2yAGBQUxcODNDBx4MydP\nnmDDhrWsWrWcdevWcOeddzF69N1oNJqaeomEuOaUmkFfeuklAGJiYhgyZAh//vknRqOR3r17Exoa\nSqtWrZg1a5bLAhWeIyEhnj82LiGsUQuu63Wru8PxeDqdjqeeeo6uXWN5Zfan/P3zKv7+eVXR/Xab\njb/8vFD90wcbGBhISEgIwcEhNGzYiICAAAICAvD3D6Bhw0YEBQXx9Z85RaPKK6u0bRALIuN47bXB\nrFu3hi+++IwtWzbz6KOP07p1GxmMJUQ1KDXxLlmyhJ49e6JUKhkwYAADBgxg2bJl7Nixg3PnznH8\n+HFXxik8RFpaGjNmTMdL50PcqMelibkCOnToSK87JwGQkRxPQV42SqUSU0E+aq0PIfWj0PkFovrn\nNc1OTyZT4405IJh0ADP8lQDZ6UfxCaqHrvRLlZv2smlhFxnzc1j6VzZ+7W6jha4lf275hgcfe4I2\n3Ycw77UnCAkJLeVsQojyKPVT88KFC0yZMgWTycRjjz1G586dsdls5Ofn07BhQ5fM8xWeRa/P5Jln\nniQ/P5/ut43Hu4o1rmuVzi+Qhq0urQp3sYm4WB9sfg4qrU+JibGmXUzITTv2oEGrGHatnsfhHet4\n/30b//nPq9L0LEQVlLpJwpQpU1i5ciUajYZ7770Xk8mEyWRi2LBh9O/fn0ceecSVcQo3cDgc6PWZ\n6PWZnDp1gieemEhKynmeeGIKwfUbuzs84SIanQ+9Rk2ifc/h/PLLT7z88vMYDJ65NKsQtUGZ7YSN\nGzcmNjaW2NhYtmzZwsqVK9Hr9dLUfA24OG3FUpDP9hUfYTYa6HHbw6w7VoBPkH+1NHXWRRcHLV2p\npLLaQqFU0qbbYGL6tGfevI959tnJvPXWO/j5ydxtISqqzMS7evXqov+vXLkSgODgYGJjXbMaj3CN\ni7Xby2VlZZGflcauNZ+jVCoZeP9LhEQ2JevCWTdFWTuUNmgpOz252vpm3aVfvwFERjZg+vRXePHF\nZ3nrrVnl2rxECHGJjIwRAOj1xTc+OLJzA0d3bcQvuB59xzxduBiDKJfSBi3VZhdr8m3btmPSpCm8\n885Mnn12Mi+99Cr160fKaGchyqnUPl5x7bm48YHGx4/DO9Zz6Nc1BEdGM2jcK5J0xT81+aPM3nCM\nHfpQonrcybadfzBq/JOkpl5wd3hC1BqSeIUTU0E+v3zzLsd2b6Jphx50v/0RtD6yfKAodLEmr/ML\npGXX/nQb8SAZ504xe/bbWK3Wsk8ghJDEKy7JSk3ihwXTuHD6CF2H/R/X9R5RbGF9IS7XLKY3Mf1G\nsWfPbmbOfAO73e7ukITweNLHK3A4HHz//ff89PU76PwC6XfPc4Q3biWDqES5NO/ch4HtQvn666/Q\narVMmfIsSqV8pxeiNJJ4rzFXbimXk5PN/Plz2bHjV8KiWhJ3x2PofAPcGKGojW67bSRKpYqvvlqI\nTufNxImTZLCVEKWQxHuNuTg3V+fjT9KxfezfuhSL0UDz63vTpsetknRFpd133/0UFBhYsWIZWq2G\nBx+cIMlXiBJI4r0GmQvy+evH5SSf2E9IZFNuvGUcGq0XdunyF1WgUCh4+OGJmM1mli79hvz8fB5/\nfHLR5g9CiEKSeOuoK5uUoXCu7sKFC9iybhManS8x/e+kdbebUSpV5GfJJvai6hQKBY8/Phk/P3/+\n97+vyMzM5MUXX0Gnq83LhghRvSTx1lGXNynnZaVx4vetJB7ahcVsonnnvlw/aLQ0K4tqUdISmbff\nPhKtVsPChQt4/PEJvPzyazRu3MRNEQrhWSTx1lF2u52c9GQOHv6dpKN/oFAqada5Dw1bdCKgfmNJ\nuqLalLZEprEgkueff4mPPvqAiRPHM378owwbdouMeBbXPI9OvIcPH+aVV17h5MmTNGnShNdee42Y\nmBh3h+XRzp9P5ueft7FmzSr2H0tA5xtAm2430zr2Zrz9g2SKkKgRJS2RCdC5c2vmzv2ct99+kzlz\nZrN58wYeemgCHTvK37G4dnls4jWZTEyYMIEJEyYwatQoVq9ezSOPPMKWLVvw9fV1d3guV1KfLYDV\nauXChQvs37+P7dt/4dSpkwC0atWarkN60/z6PqjUXq4OV4gi4eHhvP32bLZu3cynn37MU089QceO\nnRg+fAQ9e/Zyd3hCuJzHJt5du3ahVCoZM2YMAHfccQcLFy7k559/ZujQoW6OzvWysvS8sWwPNouJ\nrLRzZKcmoU9JJO3sCUK8lahUKlq3bs3dd99Ht2490Gq1LNh5QZKucJsr+367dOnKBx98wg8/bGLD\nhnW8+eY0fH196dOnF23adKRDh440aNBQmqJFneexiTchIYHmzZs7lUVHRxMfH3/VxxkMBs6dS8Lh\ncAAU/XuRw+Eodl9Jx1z6t+xjynOeoCAf9Pp8rjik2LXMZjN5eXnk5eWSl5dHdnYWKSnnSUo6y1/H\nzxTFo1AoCQxvQFSbGwiKbEpUq85offw4BZzal1UntqATtVupfb+mhnzwwVwSE0+zZctm9u3bx/r1\nGwHQarU0adKUyMgGhISEEhoair9/ADqdruimVqtRKJQoFAoUCgVK5aX/X34rr4CAQOrVk01AhOt4\nbOI1GAx4e3s7lel0OoxG41UfN336q+zataMmQ6sUtVqJ1VqxdWyVSiUBAQGEh4cTGdmQbG0Dgus3\nJjC8EQFhkajUXmSnJ6PSeJe4kYHJkIuX2vktNhXkobLZipUbDXk48HIqL+1YV5fbLGosJqvHxHNl\neUGeDovJWuXz1FR5Se+ty+LROP8NX5STk0N0dDMeemgCoaF+/PnnIU6cOM6ZM4kkJp7myJFDZGZm\nlvn3Xh00Gi9WrVov+woLl/HYxOvt7V3sj85oNJb5x/HZZ3NrMiwhRA0YMKA3Awb0dncYQriEx3am\nNGvWjISEBKeyhIQEWrRo4aaIhBBCiKrz2MTbvXt3zGYzixcvxmKxsHz5ctLT04mLi3N3aEIIIUSl\nKRxXjgjyIEePHmXq1KkcO3aMJk2aMHXqVJnHK4QQolbz6MQrhBBC1DUe29QshBBC1EWSeIUQQggX\nksQrhBBCuJAkXiGEEMKFJPEKIYQQLiSJVwghhHAhSbxCCCGEC0niFUIIIcrhwIEDTqsnXrhwgQkT\nJtC1a1fi4uKYNWsWdnvZm+FI4hVCCCGuwuFwsHz5csaNG4fFYikqf/3112ncuDE7d+5k+fLlrF+/\nnjVr1pR5Pkm8QgghxFXMnTuXRYsWMWHCBKfy06dPY7PZimq5SqUSrVZb5vkk8QohhBBXMXLkSFav\nXk2HDh2cyh944AGWLl1KTEwMffr0oUuXLgwZMqTM83nsfryVlZaW6+4QShQc7INeb3B3GKXy5Pg8\nOTaQ+KrKE+MLD/ev8jmsVpvHPa8reeJrf1Fl34MvlP0r/Jj77Vuven+9evVKve/hhx/mgQce4Ny5\nc0yYMIFvvvmG0aNHX/V8UuN1EbVa5e4QrsqT4/Pk2EDiqypPj6+yasPzqg0xeqrU1FReffVVxo8f\nj7e3Ny1atGD8+PEsXbq0zMfWuRqvEEKIa5dSqXDJddLS0rBYLFgsFjQaDQAqlQqVquwvM1LjFUII\nUWcoVRW/VUbLli2JiIhg5syZmM1mkpKSWLBgAcOGDSs7xspdUgghxNXIVufuoVQqKnyrDI1Gw7x5\n80hKSiIuLo57772XoUOHct9995X5WGlqFkKIGrB9+3batIlxdxjXnHK09FZabGwsu3fvLvq5RYsW\nLFiwoMLnkcQrhBA1wGDwzNHCdZ2r+nirQhKvEEKIOkNZCzpQa0GIQgghRN0hNV4hhBB1hlIlTc1C\nCCGEy9SGpmZJvEKICktNvUBISChqtXyECM9SG2q8teC7gRDXtrlzP2T58m8AePfdt1m3rvi2Y+fP\nJxMXdwMDB/Zi4MBe9O/fk9Gjb2ft2u+qPZ7MzAzGjBmJ2WyulvOdPXuWwYNvKnUU8PTpr/DSS886\nlX355Wet9W0dAAAgAElEQVTcdtsQBg/uy5Qpj3HuXFLRfdu3/8w994xi0KA+/N//jeH333dVS5yi\ndlApK35zNUm8Qni4PXt2ceON3QD4/ffdRf8vyerVm/jhh1/ZuvU3Xn31dWbPfptDhw5Vazwmkwmj\n0Vgt5/r1158YM2YMeXklb27y449b+OGHjU5l27f/wsaN6/jss8WsXbuFhg2jmDnzdQD0ej2vvfYS\nzz//Cps3/8yYMffxwgtPYzKZqiVe4flctYBGlWJ0+RWFEOUyduxdDBgQx8mTx3nggXvp378nSUln\nGTNmJHl5eWU+vm3b9kRHN+fIkSMAfP75p041x/j4k8TF3QDAvn17ufvuO3j66UkMGdKPffv2snnz\nRkaPvp3Bg2/iwQfvY8+ewprjAw/cC8CIETdz/PhRTpw4xvjx/8fgwX25665/8b//fVV0jXvuuZPN\nmzeUGN/mzRuYM+ddJk6cWOL96elpfPrphwwbNsKp/OzZM9jtdux2Gw6HA5Xq0h6oFy6kYDKZsNmu\nvE9WkbpWuGrJyKqQDhohPNTChf9j3769LFv2P2bMmMUvv/zE1q2bee21N8v1+H379nLhQgqxsbHl\nOj4x8TRjxtzH66+/jc1m5amnBvLJJwto06Yt69atYebM11m+/Hs+/3wxo0bdyurVm/Dx8eHRRx/k\nppsGcNdd9xAff4pHHhlHz569aNy4CV99VfpOLV27xtKv30Bstvxi9zkcDt54YyoPPjiBM2cSyc3N\nLrpvwIBBrF69kn/9axgqlYrQ0DA++eRzAFq1ak337j2ZOPHBogXrZ8yYhVarK9drIGo/WUBDCFEl\nBw7s57rrOgJw8OBfdOx49SUI//WvoQCYzWbMZjNDh95CZGQken1BmddSKpUMHDgYjUaD0WhEo9Gw\nZs1KrNZbuPnmoQwdegsKRfEPNY1Gw44dv9K4cRO6dOnKhg3bUJZjaGlwcAgANlvx+5Yv/xZ//wAG\nDhzM559/6nSf2WymY8dO/Pe/7xEaGsYHH8zm1Vdf5JNPPsdiMRMWFs57731Mp06d2bRpHa+99hKL\nFn1DWFh4mTGJ2q82jGquBSEKcW0aN+5uvvhiPl9++TmDB/fl22+/Zu7cDxk8uG+pTc0rV65n48af\n+PHHHXz77XfEx5/irbfeKtf1/Pz8i7Y30+l0zJnzKVlZWTz11OOMGHEzX321sMTHTZ36JlFRjZk1\n6y2GDu3HjBnTqrRcYkJCPMuW/Y+nn36+xPvff/8dOnaMISqqMT4+Pjz55NMcOXKI+PhTrFixDKPR\nyA033IiXlxfDh99GkyZN+Omnq290LuoOpUpR4ZvLY3T5FYUQ5bJgwRJCQkJZtaowmfr7+7Nu3RY2\nbvwJPz+/Mh/fsGEjhgwZxo4dO4DCvUItFkvR/dnZ2U7HX16Zzc/Pw2DI5803/8u6dVt5+eXpfPHF\nPA4e/NvpMQ6Hg/j4k0ya9BQrV65j3ryFHDlyiBUryt4MvDS//LINvT6TO+8cweDBfVmyZCHbt//C\n2LGjgcJ+3Mufh1KpQqFQoFKpSE11vq/weatRqaRxT3gOSbxCeKjs7CxUKhV+fn6kpJwnKCikqEZa\nHhkZ6fzwwyY6d+4MQFRUY44cOUx6ehr5+XksXfp1qY8tKDDy1FOT2L17J2q1mtDQMEBBQEAAXl6F\nMRgM+SgUCt59922WLFmI1WolLCwchUJBYGBgpZ/32LEP8MMPv7Jx409s3PgTd989lri43ixcWDil\nqnv3OL7+ejHJyecwm83MnfsBzZo1p3HjJnTr1pPt239h164d2O12fvxxCydOHKN797hKxyNql9ow\nnUi+BgrhoU6dOkmzZi0AOHnyBM2btyjzMSNG3PzP/xRotVri4nrz4osvYjDY6d37Jnbt2sHYsaPx\n9vbh3nvv59dffy7xPGFhYbz88mvMmTOL1NQLBAUFM2XKszRu3ASHw0H37oXzhN9++z2mTn2TWbPe\nYunSr/Hy8mLgwCEMG3YrUDiq+b777mfQoCHV8poAjBs3HpvNxqOPPljU3/vmm7NQKpV069aDKVOe\n5f333yEzM4PGjZvw9tvvERERUW3XF56tNiygoXDUsd2a09JKng/obuHh/h4bG3h2fJ4cG0h8VeWJ\n8YWH+1f5HJs2beL663tUQzQ1xxNf+4sq+x7s6DC8wo/p8ffaSl2rsqTGK4QQos6Q6URCCCGEC7lj\nQYyKksQrhBCizpAarxBCCOFCUuMVQgghXEglNV4hhBDCdWTJSCGEEKKOOHDgAHFxlxZjMZvNTJ8+\nndjYWGJjY/nPf/5Trn2qJfEKIYSoM2pirWaHw8Hy5csZN26c05Kks2fP5sSJE2zatIlNmzZx8uRJ\nFixYUOb5pKlZCCFEnVETTc1z585lw4YNTJgwgfnz5wNgsVj49ttvWbZsGUFBQQDMmTMHq9VadozV\nH6IQQgjhHgqlo8K3sowcOZLVq1fToUOHorLExERsNht//fUXgwYNolevXnz55ZfUq1evzPNJjVcI\nIUSdoaiB6mRJyTQrKwuLxcK2bdtYvnw5+fn5PPzww/j7+/Poo49e9XxS4xVCCFFnKBSOCt8qQ6PR\nYLfbefLJJwkICCAyMpL777+fLVu2lPlYqfEKIYSoM2qixluSpk2bolQqnUYx22y2cj3WbTXeK4dl\nX2nt2rX079+fmJgYHn74YdLT010YnRBCiNpIqXRU+FYZAQEBDBgwgNmzZ5OTk8OFCxdYuHAhgwcP\nLjvGSl2xCkobln25o0eP8uqrrzJ79mx27dpFWFgYL7zwgosjFUIIUdsolBW/VdaMGTOIjIxk6NCh\n3HrrrfTo0YNx48aV+TiXNzWXNCz7St9//z39+/enU6dOADz99NN0796d9PR0wsLCXBmuEEKIWqQ8\no5QrKzY2lt27dxf97Ofnx/Tp0yt8HpfXeEsaln2l+Ph4WrRoUfRzcHAwgYGBJCQkuCJEIYQQosa4\nvMZbnjlOBQUF6HQ6pzJvb28KCgrKfGxwsA9qtWduTxEe7u/uEK7Kk+Pz5NhA4qsqT4+vsmrD86oN\nMVaEqwZXVYVHjmrW6XQYjUansoKCAnx8fMp8rF5vqKmwqiQ83J+0tFx3h1EqT47Pk2MDia+qPDG+\n6khGDofD457XlTzxtb+osu9BbdgkwSMTb/PmzZ2alTMzM8nOzqZ58+ZujEoIIYSnq+y8XFfyyO8G\nw4cPZ/PmzezduxeTycTs2bPp3bs3wcHB7g5NCCGEB3PlqObK8pga7yuvvALAtGnTaNu2LdOnT+c/\n//kPaWlp3HDDDcyYMcPNEQohRPk5HJ5f86qLanJUc3VxW+K9clj2tGnTnO4fOnQoQ4cOdXVYQghR\nLSTxuocMrhJCCCFcqLIrUbmSJF4hhKgBUuN1D6nxCiHENUoSr3vIqGYhhBBCOJEarxBCiDpDmpqF\nEOIaJU3N7iHTiYQQ4holidc9ZMlIIYS4RpW237ioWVLjFUKIa5TVanV3CNck6eMVQohrlNlsdncI\n16TaMJ1IEq8QQtQAaWp2D+njFUKIa5QkXveQPl4hhLhGSVOze9SGPt5aEKIQQtQ+eXl57g5BeChJ\nvEIIUQNyc3PdHcK1SaWo+K2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z0LRNCKl+KrxUSpoEepNRYCFAqyI6xJe/9Pk0bRqIymjD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FD4D0q2rsHttBOf1p8J8+8lLSuPm+dddkEl3VAvoNETLs2qB9EljXY3r3xQxK/f2Ul1vb9YZEtZ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\n25QpUxgwYADXXXcdI0aM4JVXX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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ds1 = d.select_bursts(select_bursts.size, th1=30)\n", "ds = ds1.select_bursts(select_bursts.naa, th1=30)\n", "\n", "alex_jointplot(ds)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "ph = d.ph_times_m[0]" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "8000.000000000001" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tau = 100e-6/d.clk_p\n", "tau" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# KDE considerations\n", "\n", "In computing a KDE, the kernel can have different shapes. In the original\n", "2CDE publication the \"laplace distribution\" kernel is used.\n", "\n", "In the next sections we will show the 2CDE results\n", "using both \"laplace distribution\" Gaussian kernel.\n", "\n", "Here, we simply plot the two kernels for comparison:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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fJsIbeuLh5vry/n+u9+SMnKm7LZEydSeEEGWUJE+iTNO2bgFA7fmwU/38GGsZ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\n5cG0tDS87xpF8PLyIiMjd/2Zixcv8um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SwjhVOttu9+7dTJ8+nX379tGqVStm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\nQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tau = 1\n", "tau2 = 2 * (tau**2)\n", "\n", "xx = np.arange(-4*tau, 4*tau, tau/100.)\n", "y1 = np.exp(-np.abs(xx) / tau)\n", "y2 = np.exp(-xx**2 / tau2)\n", "\n", "plt.plot(xx,y1, label=r'$\\exp \\left( - \\frac{|t|}{\\tau} \\right)$')\n", "plt.plot(xx, y2, label=r'$\\exp \\left( - \\frac{t^2}{2\\tau^2} \\right)$')\n", "plt.axvline(2*tau, color='k')\n", "plt.axvline(-2*tau, color='k')\n", "plt.xlabel('t')\n", "plt.legend(fontsize=22, bbox_to_anchor=(1.05, 1), loc=2)\n", "plt.title(r'$\\tau = %d$' % tau, fontsize=22);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Notes on Kernel Shape\n", "\n", "The Gaussian kernel gives a more accurate rate estimation with very little dependence on the position where the KDE is evaluated. On the contrary, with symmetric exponential kernel (laplace distribution), there is always a strong dependence on the evaluation position. In particular, when rates are estimated at the timestamps positions, the rates are systematically over-estimated (i.e. the peak is always sampled).\n", "\n", "For Gaussian kernel, given a $\\tau$, the rate estimation will be accurate for rates higher than $1/(2\\,\\tau)$ counts-per-second. For lower rates, the estimation will strongly depend on where the KDE is evaluated. A similar condition can be also found for the exponential kernel, but this case the rate will aways be strongly dependent on the position." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 2CDE\n", "\n", "## KDE and nbKDE Definitions\n", "\n", "Following Tomov 2012 notation, we define *KDE* as ([Tomov 2012, eq. 4](http://dx.doi.org/10.1016%2Fj.bpj.2011.11.4025)):\n", "\n", "$$KDE_{X_i}^Y \\left(t_{(CHX)_i}, t_{\\{CHY\\}} \\right) = \n", "\\sum_j^{N_{CHY}} \\exp \\left( - \\frac{\\lvert t_{(CHX)_i} - t_{(CHY)_j} \\rvert}{\\tau}\\right) $$\n", "\n", "and *nbKDE* as ([Tomov 2012, eq. 5](http://dx.doi.org/10.1016%2Fj.bpj.2011.11.4025)):\n", "\n", "$$nbKDE_{X_i}^X \\left(t_{\\{CHX\\}} \\right) = \\left(1 + \\frac{2}{N_{CHX}} \\right) \\cdot\n", "\\sum_{j, \\;j\\ne i}^{N_{CHX}} \\exp \\left( - \\frac{\\lvert t_{(CHX)_i} - t_{(CHX)_j} \\rvert}{\\tau}\\right) $$\n", "\n", "These quantities can be computed for any slice of the timestamp arrays. \n", "In the implementation of *FRET-2CDE*, they will be compute on slices of\n", "timestamps corresponding to each burst. \n", "In this context, $N_{CHX}$, (in the multiplicative correction factor of nbKDE), \n", "is the number of photons in the current burst (selecting only photons in the $X$ channel).\n", "\n", "## FRET-2CDE Definition\n", "\n", "To compute FRET-2CDE we need to define ([Tomov 2012, eq. 6](http://dx.doi.org/10.1016%2Fj.bpj.2011.11.4025)):\n", "\n", "$$(E)_D = \\frac{1}{N_{CHD}} \\sum_{i=1}^{N_{CHD}} \\frac{KDE_{Di}^A}{KDE_{Di}^A + nbKDE_{Di}^D} $$\n", "\n", "and the symmetric estimator ([Tomov 2012, eq. 7](http://dx.doi.org/10.1016%2Fj.bpj.2011.11.4025)):\n", "\n", "$$(1 - E)_A = \\frac{1}{N_{CHA}} \\sum_{i=1}^{N_{CHA}} \\frac{KDE_{Ai}^D}{KDE_{Ai}^D + nbKDE_{Ai}^A} $$\n", "\n", "Then *FRET-2CDE* is defined as ([Tomov 2012, eq. 8](http://dx.doi.org/10.1016%2Fj.bpj.2011.11.4025)):\n", "\n", "$$ FRET-2CDE \\left( t_{CHD}, t_{CHA} \\right) = \n", "110 - 100 \\cdot \\left[ (E)_D + (1 - E)_A \\right]\n", "$$\n", "\n", "These quantities are computed for each burst, so that $N_{CHD}$ ($N_{CHA}$) are\n", "the number of photons in the DexDem (AemDex) channel during current burst." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## FRET-2CDE Functions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To implement the *FRET-2CDE*, we use the following FRETBursts function:\n", "\n", "- `phrates.kde_laplace()` ([documentation](http://fretbursts.readthedocs.org/en/latest/phrates.html#fretbursts.phtools.phrates.kde_laplace))\n", "\n", "This function computes the local photon rate using KDE with a [laplace distribution](https://en.wikipedia.org/wiki/Laplace_distribution) kernel. \n", "FRETBursts provides similar functions to use a Gaussian or rectangular kernel ([kde_gaussian](http://fretbursts.readthedocs.org/en/latest/phrates.html#fretbursts.phtools.phrates.kde_gaussian) and\n", "[kde_rect](http://fretbursts.readthedocs.org/en/latest/phrates.html#fretbursts.phtools.phrates.kde_rect)\n", "respectively).\n", "\n", "Here we define two functions to compute *FRET-2CDE* using the **laplace kernel**\n", "(as in the original paper) and **Gaussian kernel**:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "def calc_fret_2cde(tau, ph, mask_d, mask_a, bursts):\n", " \"\"\"\n", " Compute FRET-2CDE for each burst.\n", "\n", " FRET-2CDE is a quantity that tends to be around 10 for bursts which have no\n", " dynamics, while it has larger values (e.g. 30..100) for bursts with\n", " millisecond dynamics.\n", "\n", " References:\n", " Tomov et al. BJ (2012) doi:10.1016/j.bpj.2011.11.4025\n", "\n", " Arguments:\n", " tau (scalar): time-constant of the exponential KDE\n", " ph (1D array): array of all-photons timestamps.\n", " mask_d (bool array): mask for DexDem photons\n", " mask_a (bool array): mask for DexAem photons\n", " bursts (Bursts object): object containing burst data\n", " (start-stop indexes are relative to `ph`).\n", "\n", " Returns:\n", " FRET_2CDE (1D array): array of FRET_2CDE quantities, one element\n", " per burst. This array contains NaN in correspondence of bursts\n", " containing to few photons to compute FRET-2CDE.\n", " \"\"\"\n", " # Computing KDE burst-by-burst would cause inaccuracies at the burst edges.\n", " # Therefore, we first compute KDE on the full timestamps array and then\n", " # we take slices for each burst.\n", " # These KDEs are evaluated on all-photons array `ph` (hence the Ti suffix)\n", " # using D or A photons during D-excitation (argument ph[mask_d] or ph[mask_a]).\n", " KDE_DTi = phrates.kde_laplace(ph[mask_d], tau, time_axis=ph)\n", " KDE_ATi = phrates.kde_laplace(ph[mask_a], tau, time_axis=ph)\n", "\n", " FRET_2CDE = []\n", " for ib, burst in enumerate(bursts):\n", " burst_slice = slice(int(burst.istart), int(burst.istop) + 1)\n", " if ~mask_d[burst_slice].any() or ~mask_a[burst_slice].any():\n", " # Either D or A photon stream has no photons in current burst,\n", " # thus FRET_2CDE cannot be computed. Fill position with NaN.\n", " FRET_2CDE.append(np.nan)\n", " continue\n", "\n", " # Take slices of KDEs for current burst\n", " kde_adi = KDE_ATi[burst_slice][mask_d[burst_slice]]\n", " kde_ddi = KDE_DTi[burst_slice][mask_d[burst_slice]]\n", " kde_dai = KDE_DTi[burst_slice][mask_a[burst_slice]]\n", " kde_aai = KDE_ATi[burst_slice][mask_a[burst_slice]]\n", "\n", " # nbKDE does not include the \"center\" timestamp which contributes 1.\n", " # We thus subtract 1 from the precomputed KDEs.\n", " # The N_CHD (N_CHA) value in the correction factor is the number of\n", " # timestamps in DexDem (DexAem) stream falling within the current burst.\n", " N_CHD = mask_d[burst_slice].sum()\n", " N_CHA = mask_a[burst_slice].sum()\n", " nbkde_ddi = (1 + 2/N_CHD) * (kde_ddi - 1)\n", " nbkde_aai = (1 + 2/N_CHA) * (kde_aai - 1)\n", "\n", " # N_CHD (N_CHA) in eq. 6 (eq. 7) of (Tomov 2012) is the number of photons\n", " # in DexDem (DexAem) in current burst. Thus the sum is a mean.\n", " ED = np.mean(kde_adi / (kde_adi + nbkde_ddi)) # (E)_D\n", " EA = np.mean(kde_dai / (kde_dai + nbkde_aai)) # (1 - E)_A\n", "\n", " # Compute fret_2cde for current burst\n", " fret_2cde = 110 - 100 * (ED + EA)\n", " FRET_2CDE.append(fret_2cde)\n", " return np.array(FRET_2CDE)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "def calc_fret_2cde_gauss(tau, ph, mask_d, mask_a, bursts):\n", " \"\"\"\n", " Compute a modification of FRET-2CDE using a Gaussian kernel.\n", " \n", " Reference: Tomov et al. BJ (2012) doi:10.1016/j.bpj.2011.11.4025\n", " \n", " Instead of using the exponential kernel (i.e. laplace distribution)\n", " of the original paper, here we use a Gaussian kernel.\n", " Photon density using Gaussian kernel provides a smooth estimate\n", " regardless of the evaluation time. On the contrary, the \n", " laplace-distribution kernel has discontinuities in the derivative \n", " (cuspids) on each time point corresponding to a timestamp.\n", " Using a Gaussian kernel removes the need of using the heuristic \n", " correction (pre-factor) of nbKDE.\n", " \n", " Arguments:\n", " tau (scalar): time-constant of the exponential KDE\n", " ph (1D array): array of all-photons timestamps.\n", " mask_d (bool array): mask for DexDem photons\n", " mask_a (bool array): mask for DexAem photons\n", " bursts (Bursts object): object containing burst data\n", " \n", " Returns:\n", " FRET_2CDE (1D array): array of FRET_2CDE quantities, one element \n", " per burst. This array contains NaN in correspondence of bursts \n", " containing to few photons to compute FRET-2CDE.\n", " \"\"\"\n", " # Computing KDE burst-by-burst would cause inaccuracies at the edges\n", " # So, we compute KDE for the full timestamps\n", " KDE_DTi = phrates.kde_gaussian(ph[mask_d], tau, time_axis=ph)\n", " KDE_ATi = phrates.kde_gaussian(ph[mask_a], tau, time_axis=ph)\n", "\n", " FRET_2CDE = []\n", " for ib, burst in enumerate(bursts):\n", " burst_slice = slice(int(burst.istart), int(burst.istop) + 1)\n", " if ~mask_d[burst_slice].any() or ~mask_a[burst_slice].any():\n", " # Either D or A photon stream has no photons in current burst, \n", " # thus FRET_2CDE cannot be computed.\n", " FRET_2CDE.append(np.nan)\n", " continue\n", "\n", " kde_ddi = KDE_DTi[burst_slice][mask_d[burst_slice]]\n", " kde_adi = KDE_ATi[burst_slice][mask_d[burst_slice]] \n", " kde_dai = KDE_DTi[burst_slice][mask_a[burst_slice]]\n", " kde_aai = KDE_ATi[burst_slice][mask_a[burst_slice]]\n", " \n", " ED = np.mean(kde_adi / (kde_adi + kde_ddi)) # (E)_D\n", " EA = np.mean(kde_dai / (kde_dai + kde_aai)) # (1 - E)_A\n", "\n", " fret_2cde = 110 - 100 * (ED + EA)\n", " FRET_2CDE.append(fret_2cde)\n", " return np.array(FRET_2CDE)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## FRET-2CDE Results\n", "\n", "Let's define $\\tau$, the kernel parameter which defines the \"time range\"\n", "of the photon density estimation:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "4000" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tau_s = 50e-6 # in seconds\n", "tau = int(tau_s/d.clk_p) # in raw timestamp units\n", "tau" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we get the timestamps and selection masks for DexDem and DexAem photon streams,\n", "as well as the burst data:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "ph = d.get_ph_times(ph_sel=Ph_sel('all'))\n", "mask_d = d.get_ph_mask(ph_sel=Ph_sel(Dex='Dem'))\n", "mask_a = d.get_ph_mask(ph_sel=Ph_sel(Dex='Aem'))\n", "\n", "bursts = ds.mburst[0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can finally compute the *FRET-2CDE* for each burst:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/anto/miniconda3/envs/fretbursts-dev/lib/python3.6/site-packages/ipykernel_launcher.py:59: RuntimeWarning: invalid value encountered in true_divide\n", "/Users/anto/miniconda3/envs/fretbursts-dev/lib/python3.6/site-packages/ipykernel_launcher.py:60: RuntimeWarning: invalid value encountered in true_divide\n" ] } ], "source": [ "fret_2cde = calc_fret_2cde(tau, ph, mask_d, mask_a, bursts)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "fret_2cde_gauss = calc_fret_2cde_gauss(tau, ph, mask_d, mask_a, bursts)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1488, 1488, 1488, array([1488]))" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "len(fret_2cde), len(fret_2cde_gauss), bursts.num_bursts, ds.num_bursts" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And visualize the results with some plots:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of bursts (removing NaNs/Infs): 836\n" ] }, { "data": { "image/png": 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atGPHDlVXV2vixIkqLy/3uiykkZPQihQrmGLtM+RQ+HOBY8bqRnTSfZjoLEQp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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "valid = np.isfinite(fret_2cde)\n", "print('Number of bursts (removing NaNs/Infs):', valid.sum())\n", "g = sns.JointGrid(x=ds.E[0][valid], y=fret_2cde[valid], ratio=3)\n", "#g = g.plot_joint(plt.hexbin, **{'cmap': 'viridis', 'mincnt': 1, 'gridsize': 40})\n", "g = g.plot_joint(sns.kdeplot, cmap='viridis', shade=True, shade_lowest=False, n_levels=20)\n", "_ = g.ax_marg_x.hist(ds.E[0][valid], bins=np.arange(-0.2, 1.2, 0.0333))\n", "_ = g.ax_marg_y.hist(fret_2cde[valid], bins=40, orientation=\"horizontal\")\n", "g.ax_joint.set_xlabel('E')\n", "g.ax_joint.set_ylabel('FRET-2CDE');\n", "g.ax_joint.set_ylim(0);" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of bursts (removing NaNs/Infs): 1488\n" ] }, { "data": { "image/png": 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X4pVXXsGmTZvw/vvvm1EfUdDCNcOR4UZkbarT/ePj49GmTRt06tQJR48eBQCMGTMG3377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\nsWO4ayKbCzQb0k1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OnWtKUWQ+s7o2QF/nBsCne3PTEm5u/quHhNqlAdYINbkg0zVszPNs\nUcmOsxz1UuzY/NeC3LVrV9iLIWsLpWsLFASBOjf/7s276wpE7rVGdWlWDTUtz+kh2tAoRQ/FYFO7\ngzaJJ5RzInrDzT80lMINaBhIgG9wyX35f69/oKlNEJGb9agl0MIdakYPOYY6BKqE59cokngHbdIl\n1A9VPeGmFHByt47R8jq5QPNfGiuYc2mAOauK6Pnd63mt7B8l7NbIxhTPsblcLuzZs8fzuK6uzucx\nAGRmZoavMoqIUM61yZ2zkZv+rzRT8vJj32vc3EFU6zebXy3cfGpQOY/mrsOfVQINCO4PCr3n24hE\noRhsV1xxBZ599lnP4xYtWvg8jomJ4Xm3KBXoAzPYcAPgM6Hk8mOvfXiFk3/INahB4V5pRgVasKuI\nhLtLM5NV66J/i4ZJIkoUg2337t1m1kEWoqVrMzrcAPnuDWi4SomWm3x60xpo7pqUmBlogDHhEYkb\nxvL8GkWa5rUiifQwKtwub7v8v0qLJ8sJtAK/3i7NjoHmvz8jw43dGlmd9hMVFFW0/NWt9gGn9eJt\n/1BRmsThnuyh5avh90q6ZzvqneUIaLvLdSDhCg2GEUWTiAfbgQMHcPvttyMjIwMjR47EmjVrAABO\npxM5OTnIyMjA0KFDsW7dughXGn0iGW6AcsBppRRm7uMZ2aWFGmZmrBxi1NBmIByGJCuI6FCk0+nE\nQw89hNmzZ+PWW2/FkSNHMHXqVHTo0AFr1qxBUlIS9u7di2PHjiE7Oxtdu3ZFenp6JEsmGWpDXUrD\nkgB8hibdQeN/520j71BthYur3SLRRYUyLMmuz5qieZKIkoh2bCUlJcjMzMSYMWPQqFEj9OzZEzfc\ncAO++OIL7Ny5E7m5uUhMTETv3r2RlZWFTZs2RbLcqKT1L/BgOjdAuXsz8jYw7v2pdWhaQs2IocZI\nr+uo9/haX89ujawiosHWo0cPvPDCC57HTqcTBw4cAADExcWhffv2nufS0tJQVFRkeo0UmXADtAVS\noO8xcrUQu4eZHO+6/Guzas1EWlhmVuSFCxfwwAMPeLq2goICn+cdDgeqqqpU95OSkoS4ON+hrNRU\nc6c7G8GONQP/DrdAlwIA0DQ06c3QG3lqHG4M13JTodp28qUG20Z3+F3I+w2lZrma5Nj1fW3luq1c\nW6RYIthOnTqFBx54AO3bt8dLL72EEydOoLq62uc1VVVVSEpKUt1XeXmFz+PU1GSUltrrr04r1qx3\nRZJgzrsB6gGnVzBT9a02oxHw7ZpLSy80eI+4nw/XHRrUatPyfrXi+1oL77qtGCJ2/J0aIdC/RcSD\n7fDhw5g2bRrGjh2LWbNmoVGjRujYsSNqa2tRUlKCdu3aAQCKi4vRpUuXCFcb3YIJN0B/9wbIB5JS\n2AV7nZlSPXqYFWZ6v8esgON5NeNxMkjoIhps586dw7Rp0zB16lTcf//9nu1NmzbFiBEjsGDBAsyZ\nMwfHjx9HYWEhli1bFsFqCQhuLclgu7cGrzMowLyPG6xwBJqRIWFGwDHUyKoiGmzr169HWVkZlixZ\ngiVLlni2T5kyBfn5+cjLy0NmZiaSkpIwc+ZM9OnTJ4LVkluw4Qaod2+AfAcXCqMW+DU6zMwIhnAE\nHAONrC5GEuxGa/7jzXYc17dLzcF+WOq9jipQ0IV7VXqjwszoMAj2PRJKwIX6M9jlfe3PyHNsMZMP\nq76GQ5HaWPocG9lXsN2AWvfmLxK3VDEi0KzY2fjXFOjfzor1E2nBYKOQmRVw4WLkEKPdwsBu9RJp\nwWAjw2w7+RJKSy8EHXBA6CEXiQuKGQ4UKg4/GovBRobz/qAPJeSsjoFGZE0MNgqrSF44HA4MMyLr\nY7CRKULp4iKNYUZkLww2Mp3VuzgGGZG9MdgoYvRMPde7L63sem0V2RMniZiDwUaWwU6JiIwQ0fux\nERERGY3BRkREQmGwERGRUBhsREQkFAYbEREJhcFGRERCYbAREZFQGGxERCQUBhsREQmFwUZEREJh\nsBERkVAYbEREJBQGGxERCYXBRkREQmGwERGRUBhsREQkFAYbEREJhcFGRERCYbAREZFQGGxERCQU\nBhsREQmFwUZEREJhsBERkVAYbEREJBQGGxERCYXBRkREQmGwERGRUBhsREQkFAYbEREJhcFGRERC\nYbAREZFQGGxERCQUBhsREQmFwUZEREJhsBERkVBiJEmSIl0EERGRUdixERGRUBhsREQkFAYbEREJ\nhcFGRERCYbAREZFQGGxERCQU2wfbypUrMWTIEPTr1w+PP/44KioqZF93/vx5zJo1CwMHDkT//v0x\nc+ZMOJ1Oz/NZWVno06cP+vbti759++LWW281tM7vvvsOkyZNQnp6OsaNG4evvvpK9nWFhYUYMWIE\n0tPTMX36dJw7d073Psyuee3atbjpppvQr18/TJw4EQcOHPA8t3z5clx77bWe32vfvn19no9k3dOn\nT0fv3r19atO7DzNr/sMf/uBTa3p6Orp164b33nsPQGR+126HDh3C4MGDFZ+30vvaTa1mq72vSQfJ\nxnbv3i0NHjxYKioqks6fPy9NmzZNysvLk33trFmzpJycHOnChQvS+fPnpenTp0uPPfaYJEmSVFlZ\nKfXo0UP65ZdfwlJnVVWVNGTIEGn16tVSTU2NtG7dOql///7SxYsXfV535MgRqV+/ftJXX30lVVZW\nSk8++aQ0bdo0Xfswu+Z9+/ZJN9xwg/Tdd99JLpdLevfdd6WMjAyprKxMkiRJevTRR6XXX389LDWG\nUrckSdLgwYOlQ4cOhbQPs2v29tJLL0m//vWvpZqaGkmSzP9dS5Ik1dfXS+vWrZMyMjKk66+/XvY1\nVnpfa63Zau9r0sfWHdvmzZsxadIkpKWlITk5GY888gg2b94Ml8vV4LUulws5OTlo2rQpkpOTMXny\nZHz55ZcAgO+//x6tWrVCy5Ytw1Lnp59+ikaNGuHuu+9GfHw8Jk2ahFatWmHPnj0+r3vvvfcwYsQI\n9OnTBw6HA48//jj+/ve/49y5c5r3YXbNp0+fxm9/+1v06NEDjRo1wm233YbY2Fj88MMPAIAjR46g\nR48eYakxlLp/+eUXlJWV4Zprrgl6H2bX7O3bb7/FqlWr8Kc//Qnx8fEAzP9dA8DSpUtRUFCABx54\nQPE1Vnpfa63Zau9r0sfywVZXV4fz5883+Lp48SKKiorQpUsXz2vT0tJQUVGBM2fONNjPCy+84PNG\n3L17N7p37w7g8lBIXFwc7rjjDvTv3x+/+c1vcOLECcN+huLiYnTu3NlnW1paGoqKiny2+f88KSkp\naN68OYqLizXvw+yax48fj+zsbM/jgwcP4tKlS+jcuTMqKytRXFyMgoICDBo0CKNHj8b69evDUq/e\nur/77js0adIE06dPR//+/XHnnXd6/tCx6u/a29y5c3H//fejbdu2ABCR3zUATJw4EZs3b0avXr0U\nX2Ol97XWmq32viZ94iJdgJrPP/8cU6dObbD9yiuvRGxsLBwOh2db48aNAVz+P3kgK1aswPbt2/HO\nO+94tvXq1QszZ85Eq1at8MorryA7Oxtbt2712X+wKioqPLW5ORwOVFVV+WyrrKxscLzGjRujsrJS\n8z6MEszxfvjhB+Tm5iI3NxctW7bEqVOnkJGRgbvuuguLFi3CoUOH8MADDyA1NRWZmZkRrbu6uhrp\n6emYOXMmOnbsiPXr1yM7Oxvbtm2z/O/64MGD+OGHH7Bs2TLPtnPnzpn+uwaA1q1bq77GSu9rQFvN\n3qzwviZ9LB9sAwcOxLFjx2SfGzNmDKqrqz2P3YHWpEkT2de7XC48//zz2L59O1auXOn5S/HOO+/E\nnXfe6XndjBkzsHr1ahw5csRnQkGwGjdu3OD/qFVVVUhKSvLZphR2SUlJmvdhFL3H++STTzBjxgxM\nnToV999/PwCgffv2eOuttzyvue666zBu3Djs2rUrbB8AWuseOXIkRo4c6Xl899134+2338Znn31m\n+d/1u+++i7Fjx/q8zyPxu9bKSu9rvazyviZ9LD8UGUjnzp19hiyKi4vRrFkz2b/Iqqur8eCDD2L/\n/v1Yu3Ytrr32Ws9z77zzDvbu3et57HK5UFdXh8TEREPq7NSpE4qLi322FRcX+wzPuH8e79eVlZXB\n6XSic+fOmvdhFD3H27BhA3Jzc5GXl4eHHnrIs/3w4cM+XQVw+d8hISEhLDUD2uvevn07tm7d2qC2\nxMRES/+uAeDDDz/E6NGjfbZF4netlZXe13pY6X1NOkV69koodu3aJQ0ePFj6/vvvpQsXLkjZ2dnS\nM888I/vaJ554Qpo4caJ04cKFBs8tWrRIuuWWW6SSkhKpsrJSys/Pl8aPHy+5XC5D6qyurpYGDx4s\nFRQU+Mz8unTpks/rvvvuO6lfv37S/v37paqqKumpp56SsrOzde3DKFqPt3fvXqlXr17S/v37G+yj\nqKhI6tWrl7Rt2zbJ5XJJe/fuldLT06Vvv/02LDXrqXvDhg3SwIEDpePHj0s1NTXSa6+9Jg0ZMkS6\ndOmSZX/XkiRJJ0+elHr27ClVV1f7bI/E79rbp59+qjjD0Erva601W+19TfrYOtgkSZLefPNNadiw\nYVJGRob06KOPShUVFZ7n0tPTpf3790unT5+WrrnmGunaa6+V0tPTPV/Dhg2TJEmSampqpOeff14a\nNGiQlJ6eLmVnZ0s//fSToXUeOXJEuuOOO6T09HRp3Lhx0pdffilJkiTNnj1bmj17tud177//vnTT\nTTdJffv2lbKzs6Vz586p7iNctNQ8depUqXv37j6/1/T0dGnPnj2SJF3+4yMrK0vq06ePdNNNN0nb\ntm0La81a65YkSVq6dKmUmZkp9enTR7rrrruko0ePqu4j0jXv27dPGjhwoOw+IvG7dvMPCSu/r7XU\nbMX3NWnH+7EREZFQbH2OjYiIyB+DjYiIhMJgIyIioTDYiIhIKAw2IiISCoONiIiEYvkltYiM1q1b\nNzgcDjRq5Pt33ciRI/HCCy9EqCoiMgqDjaLSunXrZG9ZQ0T2x6FIIiISCoONiIiEwiW1KOp069YN\nTZo0aXCObf78+RgxYkSEqiIio/AcG0WlNWvW8BwbkaA4FElEREJhsBERkVB4jo2ijtJ1bK1bt8bf\n/va3CFVFREZhsBERkVA4FElEREJhsBERkVAYbEREJBQGGxERCYXBRkREQmGwERGRUBhsREQkFAYb\nEREJhcFGRERC+X/GMZIulxHHJwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "valid = np.isfinite(fret_2cde_gauss)\n", "print('Number of bursts (removing NaNs/Infs):', valid.sum())\n", "g = sns.JointGrid(x=ds.E[0][valid], y=fret_2cde_gauss[valid], ratio=3)\n", "#g = g.plot_joint(plt.hexbin, **{'cmap': 'viridis', 'mincnt': 1, 'gridsize': 40})\n", "g = g.plot_joint(sns.kdeplot, cmap='viridis', shade=True, shade_lowest=False, n_levels=20)\n", "_ = g.ax_marg_x.hist(ds.E[0][valid], bins=np.arange(-0.2, 1.2, 0.0333))\n", "_ = g.ax_marg_y.hist(fret_2cde_gauss[valid], bins=40, orientation=\"horizontal\")\n", "g.ax_joint.set_xlabel('E')\n", "g.ax_joint.set_ylabel('FRET-2CDE (Gaussian KDE)');" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of bursts (removing NaNs/Infs): 836\n" ] }, { "data": { "image/png": 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XvnoJc7CZiDrhTFw5psBqvU3Lt/DJ0AU4bU4cNicLXv2SP78pfml9tpDwYF7/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NJLL+HcuXOWffn5+Rg1ahTUajUmT54MnU4nYVIiInIEkha2rKwsZGdnY8eOHSgoKMCAAQOQnJyM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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "valid = np.isfinite(fret_2cde)\n", "print('Number of bursts (removing NaNs/Infs):', valid.sum())\n", "g = sns.JointGrid(x=ds.E[0][valid], y=fret_2cde[valid], ratio=3)\n", "g = g.plot_joint(plt.hexbin, **{'cmap': 'viridis', 'mincnt': 1, 'gridsize': 40})\n", "#g = g.plot_joint(sns.kdeplot, cmap='viridis', shade=True, shade_lowest=False)\n", "_ = g.ax_marg_x.hist(ds.E[0][valid], bins=np.arange(-0.2, 1.2, 0.0333))\n", "_ = g.ax_marg_y.hist(fret_2cde[valid], bins=40, orientation=\"horizontal\")\n", "g.ax_joint.set_xlabel('E')\n", "g.ax_joint.set_ylabel('FRET-2CDE');" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of bursts (removing NaNs/Infs): 1488\n" ] }, { "data": { "image/png": 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3uI3Ei4m8dccgT0nLYNJT6ZaKjFsdCbjHffWs34/UhFQ0zX3PSpQJ4+M9H+R4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\ni2q6BAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "valid = np.isfinite(fret_2cde_gauss)\n", "print('Number of bursts (removing NaNs/Infs):', valid.sum())\n", "g = sns.JointGrid(x=ds.E[0][valid], y=fret_2cde_gauss[valid], ratio=3)\n", "g = g.plot_joint(plt.hexbin, **{'cmap': 'viridis', 'mincnt': 1, 'gridsize': 40})\n", "#g = g.plot_joint(sns.kdeplot, cmap='viridis', shade=True, shade_lowest=False)\n", "_ = g.ax_marg_x.hist(ds.E[0][valid], bins=np.arange(-0.2, 1.2, 0.0333))\n", "_ = g.ax_marg_y.hist(fret_2cde_gauss[valid], bins=40, orientation=\"horizontal\")\n", "g.ax_joint.set_xlabel('E')\n", "g.ax_joint.set_ylabel('FRET-2CDE (Gaussian KDE)');" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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JEyfSpUsX+vbty7Jly6rleqLmHd21AZ1vAE2u6+buUGpERLP2dL/9YTKTE/jvf9+SZSWF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\nvEIIUQNyc3PdHcK1SaWo+K2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z0LRNCKl+KrxUSpoEepNRYCFAqyI6xJe/9Pk0bRqIymjD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FD4D0q2rsHttBOf1p8J8+8lLSuPm+dddkEl3VAvoNETLs2qB9EljXY3r3xQxK/f2Ul1vb9YZEtZ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\n9Q5ZCSxMQj2dqCeEN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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "alex_jointplot(ds);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## ALEX-2CDE Definition\n", "\n", "To compute ALEX-2CDE we need to define ([Tomov 2012, eq. 10](http://dx.doi.org/10.1016%2Fj.bpj.2011.11.4025)):\n", "\n", "$$BR_{D_{EX}} = \\frac{1}{ N_{CHA_{EX}} } \n", "\\sum_{i=1}^{N_{CHD_{EX}}} \\frac{ KDE_{D_{EX}i}^A }{ KDE_{D_{EX}i}^D }$$\n", "\n", "and the analogous ([Tomov 2012, eq. 11](http://dx.doi.org/10.1016%2Fj.bpj.2011.11.4025)):\n", "\n", "$$BR_{A_{EX}} = \\frac{1}{ N_{CHD_{EX}} } \n", "\\sum_{i=1}^{N_{CHA_{EX}}} \\frac{ KDE_{A_{EX}i}^D }{ KDE_{A_{EX}i}^A }$$\n", "\n", "Finally, *ALEX-2CDE* is defined as ([Tomov 2012, eq. 12](http://dx.doi.org/10.1016%2Fj.bpj.2011.11.4025)):\n", "\n", "$$ ALEX-2CDE \\left( t_{CHD}, t_{CHA} \\right) = \n", "110 - 50 \\cdot \\left[ BR_{D_{EX}} + BR_{A_{EX}} \\right]\n", "$$\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## ALEX-2CDE Implementation" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "bursts = ds1.mburst[0]" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "ph_dex = d.get_ph_times(ph_sel=Ph_sel(Dex='DAem'))\n", "ph_aex = d.get_ph_times(ph_sel=Ph_sel(Aex='Aem'))\n", "\n", "mask_dex = d.get_ph_mask(ph_sel=Ph_sel(Dex='DAem'))\n", "mask_aex = d.get_ph_mask(ph_sel=Ph_sel(Aex='Aem'))\n", "\n", "KDE_DexTi = phrates.kde_laplace(ph_dex, tau, time_axis=ph)\n", "KDE_AexTi = phrates.kde_laplace(ph_aex, tau, time_axis=ph)\n", "\n", "ALEX_2CDE = []\n", "BRDex, BRAex = [], []\n", "for ib, burst in enumerate(bursts):\n", " burst_slice = slice(int(burst.istart), int(burst.istop) + 1)\n", " if ~mask_dex[burst_slice].any() or ~mask_aex[burst_slice].any():\n", " # Either D or A photon stream has no photons in current burst, \n", " # thus ALEX_2CDE cannot be computed.\n", " ALEX_2CDE.append(np.nan)\n", " continue\n", "\n", " kde_dexdex = KDE_DexTi[burst_slice][mask_dex[burst_slice]]\n", " kde_aexdex = KDE_AexTi[burst_slice][mask_dex[burst_slice]]\n", " N_chaex = mask_aex[burst_slice].sum()\n", " BRDex.append(np.sum(kde_aexdex / kde_dexdex) / N_chaex)\n", " \n", " kde_aexaex = KDE_AexTi[burst_slice][mask_aex[burst_slice]]\n", " kde_dexaex = KDE_DexTi[burst_slice][mask_aex[burst_slice]]\n", " N_chdex = mask_dex[burst_slice].sum()\n", " BRAex.append(np.sum(kde_dexaex / kde_aexaex) / N_chdex)\n", " \n", " alex_2cde = 100 - 50*(BRDex[-1] - BRAex[-1])\n", " ALEX_2CDE.append(alex_2cde)\n", "ALEX_2CDE = np.array(ALEX_2CDE)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(2859, 2656, 2859)" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ALEX_2CDE.size, np.isfinite(ALEX_2CDE).sum(), np.isfinite(ds1.E[0]).sum()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And some final plots of *ALEX-2CDE*:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of bursts (removing NaNs/Infs): 2656\n" ] }, { "data": { "image/png": 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OHku7RD1JV03YkUK7VqKfv6AjaQHbTRbyJJop2xaM5yWKsW7eNMKqZ5J7FgVh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o3ZbIZO1/Jxm549dVCrvV3GBQUFujVvZ5BjZkCeueWYGZBnbjlmBtyXu7nPJ3I/yYvt+PHjSEtL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\nCjNhmpxSAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "valid = np.isfinite(ALEX_2CDE)\n", "print('Number of bursts (removing NaNs/Infs):', valid.sum())\n", "g = sns.JointGrid(x=ds1.E[0][valid], y=ALEX_2CDE[valid], ratio=3)\n", "g = g.plot_joint(plt.hexbin, **{'cmap': 'viridis', 'mincnt': 1, 'gridsize': 40})\n", "_ = g.ax_marg_x.hist(ds1.E[0][valid], bins=np.arange(-0.2, 1.2, 0.0333))\n", "_ = g.ax_marg_y.hist(ALEX_2CDE[valid], bins=40, orientation=\"horizontal\")\n", "g.ax_joint.set_xlabel('E')\n", "g.ax_joint.set_ylabel('ALEX-2CDE');" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of bursts (removing NaNs/Infs): 2656\n" ] }, { "data": { "image/png": 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YcZ8dJr3tG7O572ldXXLjB23AuTd0vaHztxVff3/TRo/Z0GchWZFMnyyuzWnn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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "valid = np.isfinite(ALEX_2CDE)\n", "print('Number of bursts (removing NaNs/Infs):', valid.sum())\n", "g = sns.JointGrid(x=ds1.S[0][valid], y=ALEX_2CDE[valid], ratio=3)\n", "g = g.plot_joint(plt.hexbin, **{'cmap': 'viridis', 'mincnt': 1, 'gridsize': 40})\n", "_ = g.ax_marg_x.hist(ds1.S[0][valid], bins=np.arange(0, 1.2, 0.0333))\n", "_ = g.ax_marg_y.hist(ALEX_2CDE[valid], bins=40, orientation=\"horizontal\")\n", "g.ax_joint.set_xlabel('S')\n", "g.ax_joint.set_ylabel('ALEX-2CDE');" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/anto/miniconda3/envs/fretbursts-dev/lib/python3.6/site-packages/ipykernel_launcher.py:1: RuntimeWarning: invalid value encountered in greater\n", " \"\"\"Entry point for launching an IPython kernel.\n" ] } ], "source": [ "masks = [valid * (ALEX_2CDE > 88) * (ds1.S[0] > 0.9)]\n", "ds2 = ds1.select_bursts_mask_apply(masks)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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HHx9d7rlLlvyI5s0j0alTlyq9N1thi9ZxxGJRtR72xq5jIheRkHAcDzzQBgBw\n6tQJtGkTVeHxw4YNBADo9Xro9XoMHDgEAQGBVapLLBajb98BkMvl0Gq1kMvl2LBhDYzGIejffyAG\nDhwCkajsP1hyuRwHDvyBxo1D0KFDJ2zZsgfiKgwJVat97vnare7v8iQmnsLu3Tvw/fdLcfLkiSq9\nN1sxGAwOrb8u46hjIqq1558fg4sXL0Aud8PSpYtRXFwMudwNixbNw+rVv5Xbql2zZnNpkrp2LRUf\nffQe5s6djddfn1RpfR4enpDL5QAAhUKBr7/+Dj/99APeeutVSKVSjBo1FmPHPlvmvClTPsXChd9i\n1qz/IDc3B3369MMbb7xTYbKsqeLiYnz66cf4978nQ6Fw3L3ZW8obwEX24eyjjploiVzAjz8uw2OP\nDcTSpSvh4eGBwYMfwpo1m0uTYWUaNmyEhx8ehLVrVwMAJBKJRQssLy/P4vg7G6tFRYXQaIrw6acz\nYTQacezYEbz33tto166DxabXgiAgOfkCJk58C++88z4uXDiPKVPew6+/riw3KddWUtJpXL+ehrff\nfhUAYDKZoNVqMWBAT/z88yr4+flbvc6KVOVeOdVNTt7gJiIAyMvLhUQigYeHB9LTr8Pb26fKSRYA\nsrIysWPHttKu5+DgxkhKSkRmZgaKigqxcuXye55bXKzFW29NxOHDByGVSuHr6wdAhHr16kEmK4lB\noymCSCTC7NmfY9myn2A0GuHn5w+RSAQvL69avfd7ad++I3bt+hNbt+7F1q178emnX0Ct9sHWrXvt\nnmQBID093e51UglO7yGiWrt48QLCwsIBlEx1ado0vNJzhg69NadUBDc3N8TGdsfEiW8BALp374VD\nhw7gmWdGQalUYezY5/DHH/vKvY6fnx8+/PBjfP31LNy8eQPe3mq8+eY7aNw4BIIgICamZJ7u559/\nhSlTPsWsWf/BypXLIZPJ0Lfvwxg06BEAJaOOn376OYwZ83jtPxAndO3aNWg0Gpt0k1PFnL3rWCS4\n+Jj0jIyyc+6cgb+/p9PGBjC+2nDm2ADGV1P+/p61Oj8qKgoffjgN3bv3tE5AVeSoz9Pa9dbm8z/Q\nenC1ju968rca11UT7DomIrKCwMBArFq1gtN8HMDZp/cw0RIRWcEzzzyDM2eSsGLFMkeHUuc4+4IV\nvEdLRGQF/fv3x5Ej8Vi8+HuIxWI88cTocucak/U5+xKMTLRERFYgEonwf//3/j8rZi3EyZMn8Npr\nbyMgoOxMAvj5AAAgAElEQVSykWRdjmilVge7jomIrEQqleL99z/CK6+8hr//jsezz47G/PlzkZ2d\n5ejQ7msSsahaD3tji5aIyIpEIhGGDh2GLl26YunS/2LdutVYv/5XxMb2wODBj6BNm6gqLUtJVefs\nHycTLRGRDQQGBuHtt/+NUaPGYOPG9dixYyv27dsDPz8/xMb2QPfuPdCqVWsm3TqAiZaIyIYaNQrG\n+PGv4PnnX8T+/fvw++/7sGnTBqxb9yvq1auH9u07on37jujQoRPv59aQsy9YwUTrRIwmM6SOWB/s\nDgaTGTIHx0B0P3Jzc0OfPv3Qp08/aDQaHD58EEeOHEJ8/DHs3bsbQMnSmFFR7dCyZStERrZEw4aN\nOHK5Cpy9U4CJ1gmk5miwYG8ysgv1eKlnGNoGe9s9BoPJjNXHUrHh+HUMahOEkZ0awU3q5EP5iFyU\nSqVCr1590KtXHwiCgEuXUvDXX0cRH38MO3dux8aN6wEA9ep5oWXLlmjRohVatGiJiIgWXOKxHCKx\ncy9wyETrYJtPXsePf1yC0Vzyi/LR+kQ81DIAr/SufC1ba7mRr8XH6xORlqcFAKz+6xr+OJ+JyUNa\noqFaabc4iOoikUiE0NAwhIaGYcSIJ2A2m3HpUgqSkhKRlHQaSUmJOHToIICS+aJNmoT+k3hLkq+v\nb0sHvwPHE7FFSxVJuJpXmmRvib+ca9cY0vO0pUn2lhv5OlzLLWaiJbIzsViMsLCmCAtrikGDhgAA\nCgrykZSUhDNnEpGYeAp79+7Gpk0bAQA+Pt5o2rQ5WrRohZYtWyEiokW5+xPfz0QitmiJiKgWPD3r\noXPnaHTuHA0AMJvNuHLlMpKSEnHlygUcPRqPY8eOQBBK9hJu3LgJWrV64J9HazRo0PC+vtfLFu0d\nEhIS8PLLL2P//v3lvv7bb79h9uzZyMrKQnR0NKZPnw4/Pz97hkhEVCM5OTkwmez3T6qXlxe6dInB\n4MH9kJlZgKKiIly4cA7nzp3F2bNnsGvXdmzYsA4A4O3tjYiISEREtEDr1m0QGhp2z2lF3t5ql0vK\nYt6jBQRBwK+//or//Oc/kEjKH2Bz5swZfPTRR/jxxx8RERGBadOm4d1338WiRYvsEaLdmQUzThVe\nRIOIG2heXA/nrhcDAOp7yjDRKx6KgwnQtn8CcHOHIAhIXbEbyQs3otkbI9HgkW4AAFNOHrIXLoWg\nN8An7mlI/X0BADd2HMPZz35G46f6IeTZARCJxQAMgNtpQJwL6NoB+GdLKnEWWjY9jie6eGPNUT0M\nJgFSsQiPdnRD2+Z/A+a2gKnky84NTRFWXDyDAKUKjzYJh1IqgyAI2JF4E5sTrmNU52B0aepr74+S\nyCn8Z90pSKT2v9Uic5PCoDP+80wFeLSDqkM7RLUzIz87HVnXkpF17SJ2HTmJDTv2AgDclO7wbxyB\nwCYtEBTaCgr3egAAraYA7w3vCLXax+7vozacvUVrl/1o58+fjy1btuCRRx7BokWLcPjw4TLHzJw5\nExkZGfj8888BlHw7jImJwf79+yts1TrjvpZAxXs1ZhvysC8nHrnG26/rrteHT1ouxuaugpugAwCY\nFfWQEzoMR6fvRPbB07ev3ac9Ih7vgoJlq2Au1AAAREoFPJ8cjoubE5C++VDpsV5RzdDp5+egaJIC\niEuSOQQRlJIHUKwtBGQpwD9fXtMy62HDoQAM6pyB4IC8f44FYGyCzefU2Ho1BcZ/fl3qyeQY1KAZ\nNh3Owpn02++jYxM1XnsoHJ4Kmc0+P0dz5tgAxldTtd2P9tUFuyGRuVspmqqTu0mhL020FSsuyEV6\nSiLSk08hPeU0tIV5EInECAiJQMgDMQgKbYFJQ1pXKdE60360KUOqtx9t6Eb77kdrlxbt8OHDERcX\nhyNHjtzzmOTkZLRr1670uVqthpeXF1JSUu677uNrugyLJAsAbvWv47nkXZD8k2QBQKzNR/7uXRZJ\nFgAydsWjgaemNMkCgFCsRdbaHUjflWJxbN7x8zDqLwBi/e1CkYBicyIgN1kc28AvH3ED5IA0745j\nAcguYe/1wtIkCwD5Bj32XLyOM+k6i2scu5SDazlaRNavXaIlIutTenojtE1XhLbpCkEQkHvzKq4m\nHcOV04dx5LcfIXNTIEw/Gs888y/IZPw7bC12SbRVWe2kuLgYCoXCokypVKK4uLjC89RqFaROOt/z\nXt/Q3AU3IL9seXlbPcnu8d6kUgn0d5fdY6EJmazqn49MJoGhnD4OcTn3bGQyKQBdmXK1WlXr1gFQ\n+xaGLTlzbADjcxS5m2PGl9a03sDGYQhsHIYO/Ubi5uWzOLF7Df73v2W4ePEsvv32W7i5uVV4vrP8\nHJ2969hpRh0rFApotZZTTIqLiyudnJ2To6nwdUepqFulqKhscgIAs1nA3SnRYDSVe6yxnHKjyVzu\nsQaDCRX/dbE8trzfCnM5dxgMhvK7q3JyNMhQ1O7Lj7N2LwLOHRvA+GrKGkmjql241lSdruOKqOuH\no8vQl9BWfgXffTcPK1euw4ABA+95vDN1HTv7ylBOE17Tpk2RknK72zM7Oxt5eXlo2rSpA6OqOZ3B\nhKUHL+N/R67CcEcCTM4owsY/dDDn3XEPRBBBKA7AT2GDoZHf/mUzBjaE+rWuiPiwl8W1gz8bCOMH\n3SEKvd1TIGvkh1bfjkT0otEl4/v/oR/bE79k+eFG/h2/xIIEKkk7QBcBCHe0VE1qQN8cMFnGBn1z\nDAwOheKOgWz+CiUGNg9GxxC1RWy9Iv3R2Jdzb4lckSAIKCgo6W6Ty12n61gkEqr1sDenadEOHjwY\nTz31FIYPH47WrVvjyy+/RPfu3aFWqys/2cnEX87B98v+RlpOSbf37+cy8XxsExy/motNCddhFgDR\nRTE6NmuMxs0LkJIjRrqm5JvhX6EjMEZ3BW1bKGAKlUEs0qDZuw0R/PQLSJxxCp5vtIXeqxgaaCH+\nqhc8DhaivsgNgUNDIZaY0bJZGEIf+xC739mLI33aIlFhBvKLcPKABH1DGuHhMDOkhii4+wVCoy8A\njCGAWwJgDAIMTQGIAE39kkFS0muArg1g9kLPBkCUbyBWp5xDoFKFAcGhkIkl6NggAAcvZmFzwnU8\n0TkYDzT0cuAnT+Q4hbnZEMu0lR9oZXKZBHpD+T1f1ZFz/RJO/bEev+enIiamK9q0iUJOTvY9j5dI\nDMjJqV2L1lpTidh1XIHJkycDAKZOnYoWLVpg2rRpeP/995GRkYGOHTvis88+c2R4Nbbk4OXSJAsA\n13KLseTgZVzOumPwEoCj5zUQ+yiQrru9ElSewYCNXsF4ICwLwO2/PIqGWjSYHoMsw+0NpM0iI/K7\nKtAuKAQi0e1Ws1JtBib1QWLizdIyoyBgy6UCdFDHoIH7Hd3x5npAcexd70AEGMJKHnfwdlPghcg2\nZd5vTFNfxHBaD9VxRoMWkvLv3ti2XkhhqmHXsVGvw7Xzx3E16Shyb1yFXOmOFl2HQNa6J+Zsv1Dh\nuZbTiqrPmlOJuNbxHaKjoy2m9kydOtXi9YEDB2LgwHvfEyAiclbe/g2cfnoPAOiKi5B2/jhSz/yF\n6xdPwmQ0wMu/IToOegZNo3pA5qao/CL/1CuR2f+edHls1aK9e5GlvLw8vPfeezh06BA8PT0xYcIE\njBw5stLrOE3XMRER2YYmPxupZ+ORejYeNy+dgSCYofRUIyyqO5q0joFvw6YutxrUnay9MtS9Fln6\n8MMPoVKpcODAAZw9exYvvvgimjVrhqioqAqvx0RrA7HhfkjNuQqjqeSHL5OI4KWUIdhHiavZt7uU\nG/uo0N5PjZvpBdCZSrqJRQA8pR4o0AjwVN2+P2IyKZGSLYe3hxxm0e2JPfoif6TcUCEsqOiOYyXI\nypRCLVcgR3/7nlFzLzW87xqurzOasOH4dbRr7I3wgIoXIjeZBWw5mY6GaiXaNb69ld+NfC12Jd3E\noDb14aV0nQEURPez/Mw0XD0Tj9SzfyE7rWSgaT2/+mjRdSAaRXaAT/0mLp1c72TtFu2CBQuwZcsW\nxMXFla5OWFRUhJ07d2Lbtm1wc3NDmzZtMHjwYKxbt46J1hFGdGyEAR2C8enak9AZTMgvNiAhNQ8i\nAC3re+J6vhaPtG2AR6IaQCIWoXODQKxKPot0TREEAIk5ufi/fcBj4UHoHZaHq7n1MP9vPQoMhfCS\nKzEi0gsqtyLs+8sHW+ONAHLwWAcPTOgnQnquFO/+rwBXs4shl0rRvo0v8qWFGNokHNEBDSzi/Oty\nDhbuS8aNfB1+OXwFAx4IwlMxjaGSl/21OHejAAv2JiM5oyShdwv3xTPdQvDHuUysPJoKndGMLQnp\nGNs1BH1bBtw3f4GJXIUgCMi9cQVXko4i9Uw88jPTAAC+DcLQtvcINIpoj3p+DSq5imuy9kji8hZZ\nunz5MqRSKYKDg0vLQkNDsX379kqvx0RrI6EBHvh4aEuMnH97OUQBQOL1AgyNqo/H2jcsLVe7KTCu\nRVu8e3gf8gy3W6trLxTj73Q/XCq8vbpFnt6MHxK0UFwPRPKN263jtX8V4vBFN6Tl3h4FqDcKOBSv\nxSu9miM6IMgiPo3OiGkbk0qfmwVg88l0uLtJMaZL4zLvZ/pvZ5BXbCh9/ueFLGQV6i2WXyzQGTFv\nz0WE+KoQEeQcE9mJ7MVao45l0qr/syyYzbiRdRWXT/+FtPMnUJSfBZFIBP9GzdCm5zA0CG8Lpeft\n3idtYV4FV6sek6H2g6GcVXmLLGk0mjKLKpW3/kN5mGgd4F6tvfLK7/U9rdwVqoV7tCKrdd17vlJO\nSfnH2n71bCLnY41Rx7riQrwxpB28vb0rPC4t7Rr27NmNfft2Izc3G4AI3dtHISamGzp16ox69Ww/\nzc7PzxOZmbWf3mMN9pjeo1QqodNZLjak1WorXVQJYKIlIrIKa4w61hbmwdvbu9wpLxqNBrt378T2\n7VuQlJQIsViEDh06YdiwoYiMjLL7Zu8+Pp4wmZxjTIY9pveEhITAYDAgLS0NDRqUdMGnpKQgPDy8\n0nOZaG1ILBIhzN+99L4mAMgkgH+QBkazEVLx7Y8/XVMEH4USufo7vjEJgLhQCYVQDK3odretj0KG\nRmECUm5PkwUAhAe4w2gWcLPg9jVUcgkaqsuu1JShy0JkYynOXLnd9SOTiNDEr/x/KJoFeOLY5Zw7\n3hvQLMADaTlaFNzRfeTrIYePu3P85auqw8nZCA9wh69HVReqJLKf9PTrWLfuV2zZsgkajQZNmoTi\nxRfj0KdPP/j6+jrtkpb2ZI8lGD08PNCnTx/MmjULn3zyCc6fP4/ffvsNCxcurPRcJlobkohFmDmy\nDTafvI7lh66iVVMxmrfKw00hE2szrqGLV2sEyvyxNTUFO1MvwSgICPP0ws1iDWQGOYrSlPgzoxAe\nChUimsqQLstE10YeMLvlwCjk46nHvPHnQTcUFknxYvdQdA71gc5gwv+OpmLD8TTENPXF87FNoHaX\nl8akNetxLD8R5zVXENlRhDYt/LFpnxnh/l54qUcYGniXv3ziB0NaYM+Zm/jvn5fh6yFHXM8wNA/0\nxMhOwfjv/kv4/XwmBrUOwpPRjaGUO+cmD3e7nluM7/al4PjVXChlEjwZHYxBbepDUs7mDkT2duHC\neSxbtgQHDvwBkUiE7t174dFHh6NFi5YcbHgXey1YMW3aNHz00Ufo0aMHVCoVJk2ahLZt21Z6nl32\no7UlZ/0md/e3zCuFmdiVf6DMccW59XEqO9eizFuixNm/JTCZLX80j/eTQueRblEmhhgj/fpDdde6\npAVaQ7l7wm7M+B2ZBsv66ssCMMC/S5Xel0ZvhJtUUiYZ3au+mrL1t3STWcCT3x2G/q6NGEZ2bFTu\nYDB7xlZbjK9mnGE/Wm1hHoa3dMP69Wuxf//v8PDwwJAhj2LIkEfh7+9f7jmO+jydaVOB3Jf6Vet4\n7+8qHylsTWzR2olcVv43UL257BqlepMZJnPZvpDyBh+ZYYZcVvbYeyU9o1DOmqiiqo/gKG/qT0X1\nObO7kyxQshkEUU3UdtRxcWEeTu39FfsWJMHT0wPDh4/E4MFD4e5ekrwFQWBL9h4csVFAdTDREhFZ\nQU1HHZuMBiQf/wMX4vdAMJvQrGMfRET3wzWFO777PRWAddcFvh85+zZ5TLR24iaWQQIxTLj9N1EM\nEbzlCgCW3S/ebnJ4uIlReMcgIxEAD6kSd++loRS7QYyy33Iv3ixEqL+7xYbtWqMRUpRteaokVVvb\n9H4iEgFqlQw5GoNFuY+H/B5nEFWsuqOOBUFA6tl4/L3jFxTlZqJRZAdE9XkCnj5l53BSxbipAAEA\n1LJ6eDSgFw7lJeCaLgOBch/EeLWBukE9RHqlYc2lc9AaTejXqAn6B4eiqJUR//3zMvaezUCwjxJx\nPZuiVYN6SNUG4lDeSRSaNIhQNUH7ei0gvmMSWWahDt//noJDydloFuCB8b3CEObvgfjMG1idfBYF\nBh26BfvDIMuGGGJ0qNcCEaoQB34yjiEWiTB3TDssO3QFW0+lw8/DDeN6hKJjE7YYyPY0+dk4tmUp\nrp37G17+DdHrqXcQFNrS0WG5LG6TR6XqSd3RzzcGmfpc+Mq8Su+3dAlsgNY+/igyGhCgLJn87K2S\n4/W+zfBIVH009lFBKin5TWqkCMSjbn7INxbBR1bP4vo38rV47Zfj0BpKWs3nbxbi7ZUJGBBbD8cL\nrpce9/uVQjSu543XWnWEUlJ3p7S4u0kxrkcY+j8QiCAvBdykrjFamlyXYDbjQvweHN+1CoLZhKg+\njyMiuh/EEv5TfD/jT9cB/ORlV31xl8ngLivbrRvmX3YSulQkKZNkAUCjN5Um2VvMApCjKztA46ZG\nX6eT7J1CfO2/tRnVPYW5GTi0fhEyrpxDYGhLdBr4LLuJrUXi3IPEmGiJiKzgzlHHd65XLAgCriYd\nxfFdKyEIAtr1fRIhraIhEomqvPawM68L7AxETj73nYn2PiKTiCBC2VWJZZKyXaJyMbtJiazp1qjj\nO9cr1uv1WLhwPq78uRNdo1rgtdfeQmBgYI2ub611ge9LEue+SctEex9ppFbhs+EPYP7eZFzO0kCt\nkuFfD4aiS1MfbE+9hG2pKTCYzWjj44+4Th2AIs4ZJbKWW6OOb61XLAgCpk//GElJiXj66efw9NPP\nWWwiTlbEFi3ZU2T9evjyibbYfz4TnULVpQtMDGwchk7+QbhRXIQHfPzhr1Iho4jdUUS2kJFxE598\n8jGys7MwefJUPPhgD0eHdF8T8R4t2ZtELEKPiLLLtfkrVfBXVr6lExHVnLYoHx9+OBM6nRaffz4b\nLVu2cnRI9z+2aImI6gaT0YhD6xdBZcjBnDnzEBnZwtEh1Q1s0RIR3f+0RQU4e2QDMq9dwMxpHzPJ\n2pGzjzp27qFaREQu4l/dApF/dh9GDnkYgwY94uhw6haJuHoPO2OiJSKygm3btkEqleKVV97gLjtk\ngV3HRERWsHv3bsTG9kBAAFd7sjdn7zpmoiUisoK8vDx0797T0WHUTRwMRURUNzzwQGtHh1A3MdES\nEd3/fHx8uDG7g7DrmIioDvD3L7tIDNkJW7RERPc/tZqL/juM2Lkn0DDREhFZgaenp6NDqLO41jER\nUR0gdvJW1X3Nye/R2uU3IzExESNGjEBUVBSGDh2K48ePl3vcqlWr0KdPH3To0AGjRo3CqVOn7BEe\nERG5Momoeg87s3mi1el0iIuLw7Bhw3D06FGMHTsW48ePR1FRkcVxZ86cwRdffIHvv/8eR48eRe/e\nvfHaa6/ZOjwiIiKbsnmiPXToEMRiMUaPHg2ZTIYRI0bAz88P+/btszju8uXLMJvNMJlMEAQBYrEY\nCoXC1uEREZGLE4lF1XrYm83v0aakpKBp06YWZaGhoUhOTrYoi42NRZMmTTBo0CBIJBK4u7tjyZIl\ntg6PiIhcnQM2CqgOmydajUYDpVJpUaZQKKDVai3KdDodwsPDMXnyZDRv3hyLFi3CK6+8gk2bNlXY\nslWrVZBKJTaJvbb8/Z17FCLjqzlnjg1gfI7iqPdV1+oto66POlYqlWWSqlarhUqlsiibO3cugoKC\n0Lp1yRJmEyZMwMqVK3HgwAH07t37ntfPydFYP2gr8Pf3REZGgaPDuCfGV3POHBvA+GrKGknDEe/L\nUZ+nteutzefv7CtD2by9HRYWhpSUFIuylJQUhIeHW5SlpaVBr9eXPheJRJBIJJBInLO1SkRETqKu\njzqOiYmBXq/H0qVLYTAYsHr1amRmZiI2NtbiuJ49e2L16tU4ffo0jEYjFi9eDJPJhA4dOtg6RCKi\nWuMetA4kFlXvYWc27zqWy+VYtGgRpkyZgi+//BIhISGYP38+VCoVJk+eDACYOnUqnnjiCeTn5+PV\nV19Ffn4+WrRoge+//x4eHh62DpGIiFwYV4YCEBkZiRUrVpQpnzp1aumfRSIRxo0bh3HjxtkjJCIi\nul84+apcXIKRiIhcW10fDEVERFSXsUVLRESujV3HRERENuTkida5oyMiIqqMlaf3xMfHY9iwYWjf\nvj369++PjRs31io8tmiJiKyA82gdyIotWpPJhAkTJuCjjz7CgAEDcOzYMTzzzDNo164dGjVqVKNr\nMtESEZFrs2Kizc/PR3Z2dulOciKRCDKZrFarFDLREhGRa7Pi9B61Wo3Ro0fjzTffxKRJk2A2mzF9\n+nTUr1+/xtdkoiUiItdmxRat2WyGQqHAnDlz0Lt3bxw4cABvvfUWWrVqhcjIyJqFZ7XoiIiIHEEs\nrt6jAtu3b0dCQgIGDBgAuVyOnj17omfPnli3bl2Nw2OLloiIXJsVu46vX79usZMcAEil0lrdo2WL\nloiI6B9du3ZFUlISfv31VwiCgCNHjmDHjh0YMGBAja/JFi0REbk2K96jjYiIwNdff405c+Zg+vTp\naNCgAWbMmIHWrVvX+JpMtERE5NqsvDJU79690bt3b6tdj4mWiIhcmrMvFsJES0RErs3J1zpmoiUi\nItfGREtERGRDTr7xOxMtERG5NrZoiYiIbIgtWiIiIhty8hatc0dHROQinH2KCTkOW7REROTanLxF\ny0RLRESujfdoiYiIbIgtWiIiIhtioiUiIrIhdh0TERHZEFu0RERENiRioiUiIrIdJloiIiIbcvKu\nY7tEl5iYiBEjRiAqKgpDhw7F8ePHyz3u2LFjeOyxx9CuXTsMGTIEBw8etEd4RERENmPzRKvT6RAX\nF4dhw4bh6NGjGDt2LMaPH4+ioiKL427cuIHx48cjLi4O8fHxeOmll/Dqq69Cq9XaOkQiInJlInH1\nHnZm8xoPHToEsViM0aNHQyaTYcSIEfDz88O+ffssjlu/fj26du2K/v37QyQSYfDgwfjpp58gdvIu\nASIicrC6nmhTUlLQtGlTi7LQ0FAkJydblJ0+fRqBgYGYMGECoqOj8cQTT8BkMkEul9s6RCIicmVO\nnmhtPhhKo9FAqVRalCkUijJdwnl5efj999/xzTff4KuvvsLKlSsxbtw4bNu2DV5eXve8vlqtglQq\nsUnsteXv7+noECrE+GrOmWMDGJ+jOOp91bV6y3Dynk+bJ1qlUlkmqWq1WqhUKosyuVyO7t27IzY2\nFgAwZswY/PDDD4iPj0evXr3uef2cHI31g7YCf39PZGQUODqMe2J8NefMsQGMr6askTQc8b4c9Xla\nu95aff5OPr3H5tGFhYUhJSXFoiwlJQXh4eEWZaGhodDr9RZlZrMZgiDYOkQiolrjfrQO5ORdxzav\nMSYmBnq9HkuXLoXBYMDq1auRmZlZ2nK9ZejQodi/fz/27t0Ls9mMpUuXQqfTITo62tYhEhGRK6vr\niVYul2PRokXYtGkTOnfujJ9//hnz58+HSqXC5MmTMXnyZABAy5YtMX/+fHz11Vfo0KED1q5diwUL\nFsDd3d3WIRIRkStz8kRrl5WhIiMjsWLFijLlU6dOtXgeGxtbpqVLRERUIScfDOXc0REREbk4rnVM\nREQuTSRyzimetzDREhGRa3Py6T1MtERE5NqYaImI7n+cR+tATLREREQ25OSjjploiYjItbFFS0RE\nZENMtERERDbEREtERGRDTn6P1rmjIyIisrP09HS89NJLaN++Pbp3744lS5bU6npMtERE5NqsuKmA\nIAh4+eWXERYWhsOHD+OHH37A3LlzER8fX+PwKk20O3bswObNmwEAubm5mDBhAnr37o1PPvkERqOx\nxhUTERFZhRUT7YkTJ3Dz5k28/fbbkMlkaNasGVasWIHQ0NAah1dhjatXr8YHH3wAjUYDAJg2bRrS\n09MxefJkpKSkYN68eTWumIiIyCqsmGhPnz6NZs2aYebMmejWrRv69++PEydOQK1W1zi8CgdD/fzz\nz5g7dy46deqE4uJibN++HQsXLkRMTAxCQ0Px/PPPY+LEiTWunIiIqNasOOo4Ly8Phw8fRpcuXbBn\nzx6cOnUKL7zwAoKDg9GxY8caXbPC6K5evYpOnToBABISEiASidChQwcAQEhICLKzs2tUKRERkdWI\nqvmogFwuh5eXF1566SXI5XK0b98e/fv3x65du2ocXoUtWolEAr1eD7lcjiNHjqBt27aQy+UAgOzs\nbCiVyhpXTEREZA2CIFTr+IqWpQ4NDYXJZILJZIJEUrL9nslkqnYdd6qwRduxY0f8+OOPSE1NxYYN\nG9C3b9/S1xYsWFDa2iUiInIUAeZqPSrSrVs3KBQKzJ07F0ajEfHx8dixYwcGDBhQ4/gqbNG+8847\neOGFFzBnzhx07twZo0aNAgA89NBD0Gg0WL58eY0rJiIisgYBNW9t3k2hUGDp0qWYOnUqunbtCg8P\nD3zwwQeIioqq8TUrTLRNmjTBjh07kJOTAx8fn9LyN998E127doW3t3eNKyYiIrIGQai4lVpGJfdp\nQ0JC8MMPP9Q8oLtUugSjSCSySLIAMHDgQKsFQER0P+B+tHQvXOuYiIhcmjW7jm2BiZaIiFxatbuO\n7Xg95REAABgQSURBVIyJloiIXBpbtERERDZU2ZQdR2OiJSIil8auYyIiIhti1zEREZENsUVLRFQH\ncB6t47BFS0REZEPOPhjKepv4ERERURl2SbSJiYkYMWIEoqKiMHToUBw/frzC4w8ePIjIyEgUFRXZ\nIzwiInJhgiBU62FvNk+0Op0OcXFxGDZsGI4ePYqxY8di/Pjx90yieXl5eO+99xzyYRARkeux5jZ5\ntmDzRHvo0CGIxWKMHj0aMpkMI0aMgJ+fH/bt21fu8VOmTOGmBUREVGVCNf+zN5sn2pSUFDRt2tSi\nLDQ0FMnJyWWO3bBhA/Lz8/Hkk0/aOiwiIrpPCIK5Wg97s/moY41GA6VSaVGmUCig1WotytLS0jBn\nzhwsX74cBoOhytdXq1WQSiVWidXa/P09HR1ChRhfzTlzbADjcxRHva+6Vu/d6vz0HqVSWSaparVa\nqFSq0udmsxn/93//hzfeeAOBgYFITU2t8vVzcjRWi9Wa/P09kZFR4Ogw7onx1ZwzxwYwvpqqbdIQ\niUQOeV+O+jytXW9tPn9nX7DC5l3HYWFhSElJsShLSUlBeHh46fP09HScOHECU6ZMQceOHfHII48A\nAHr06IFjx47ZOkQiInJhzn6P1uYt2piYGOj1eixduhSjRo3C+vXrkZmZidjY2NJjGjRogISEhNLn\nqamp6NOnD/bt2wd3d3dbh0hERC6szi9YIZfLsWjRImzatAmdO3fGzz//jPnz50OlUmHy5MmYPHmy\nrUMgIqL7mLPPo7XLEoyRkZFYsWJFmfKpU6eWe3yjRo1w9uxZW4dFRERkc1zrmIiIXJqzdx0z0RIR\nkUtz9pUEmWiJiMilsUVLRFQHcD9axzE7d4OWiZaIiFybSXDuLzlMtERE5NLYoiUiIrIhM1u0RERE\ntmNii5aIiMh2nL1Fa/MlGImIiOoytmiJiMilcTAUERGRDXF6DxERkQ0597pQTLREROTinH0wFBMt\nERG5NN6jJSIisiHeoyUiIrIhZ2/Rch4tERG5NLMgqtajqjIzMxETE4M9e/bUKj62aImIyKXZagnG\n999/H7m5ubW+Dlu0RERWwP1o7y+//PILlEol6tevX+trMdESEZFLs3bXcUpKChYvXowpU6ZYJT52\nHRMRkUuz5mAoo9GId955B++//z68vb2tck0mWiIicmnWvEc7b948tGjRAj169LDaNZloiYjIpVlz\nZajNmzcjIyMDmzdvBgAUFhbizTffxPjx4zFu3LgaXZOJloiIXJo1u463bt1q8bx379748MMP0atX\nrxpfk4mW6P/bu/ugqMo9DuDfXd52aYwoxfrjVogZSObiIkizRYqjpiDxovkS0ziKotbO2Dj3jnlB\nyqY3r1QTieSM5UuTI9iLL001laGoOKxCphCOw45ZxL3ugFwEFnD3uX903XFFENbzsGfh+5k5M+7h\n7Hm+u3r88ZznnOcQkU/jzFBEREQSyZwZ6scff7zjfbDQEhEpgPfReo/an97D+2iJiIgkYo+WiIh8\nmqwpGJXCQktERD6Np44B1NTUIDMzEwaDAampqaiurr7ldnv37sWMGTMwadIkZGRkwGKxDEY8IiLy\nYU4xsGWwSS+0nZ2dyMnJQXp6OiorK5GVlYWVK1eira3NbbuKigoUFBTg/fffh8ViwfPPP4+cnBw0\nNzfLjkhERD7MIQa2DDbphbaiogJarRaLFi1CQEAAMjMzMXLkSJSVlblt19jYiKVLlyIqKgparRZp\naWnw8/PDhQsXZEckIiIfpvZCK32M1mq1IiIiwm1deHg46uvr3dY9++yzbq9PnTqFtra2Hu8lIiK6\nkTdOBw+E9ELb3t4OvV7vtk6n08Fut/f6ngsXLsBsNsNsNuPee+/tc/+hocHw9/dTJKvSRo0a4e0I\nfWI+z6k5G8B83qDRaLz2uYZbuzcb9lcd6/X6HkXVbrcjODj4ltuXl5djzZo1WLJkSb8mcG5ublck\np9JGjRqBy5dbvR2jV8znOTVnA5jPU0oUDW98Lm99n0q3eyffv9oLrfQx2jFjxsBqtbqts1qtGDt2\nbI9t9+3bB7PZjA0bNmDVqlWyoxER0RCg9jFa6YU2ISEBXV1d2LVrF7q7u1FaWgqbzQaTyeS23YkT\nJ/Dqq6/io48+QnJysuxYREREg0J6oQ0MDMS2bdtw6NAhxMXFYffu3SgqKkJwcDDy8vKQl5cHANi2\nbRu6u7uRnZ2NmJgY13LkyBHZEYmIyIep/T7aQZkZKjIyEnv27Omx/rXXXnP9efv27YMRhYiIhhi1\nj9FyCkYiIvJpLLREREQSDfv7aImIhgM+j9Z72KMlIiKSiIWWiIhIIofKH5PHQktERD6NY7REREQS\nqf3U8aA8+J2IiGi4Yo+WiIh8mtp7tCy0RETk05xObyfoGwstERH5NPZoiYiIJGKhJSIikoi39xAR\nEUnEHi0REZFELLREREQSsdASERFJpPYxWs4MRUREJBF7tERECuDzaL2Hp46JiIgkcjrV/UsOCy0R\nEfk0p4OFloiISBr2aImIiCRSe6HlVcdEROTTnE7NgJbbsVgsmDdvHoxGI6ZPn449e/bcUT72aImI\nyKcpOUbb0tKCVatWITc3F3PmzEFtbS2WLFmCBx98EE888YRH+2SPloiIfJqSPdqGhgYkJiYiJSUF\nWq0W0dHRiI+Px+nTpz3Ox0JLRKQA3kfrPUoW2qioKGzatMn1uqWlBRaLBZGRkR7nY6ElIiK6hdbW\nVuTk5CA6OhrTpk3zeD8stERE5NOczoEt/XHp0iUsWLAAISEhKCwshFbreblkoSUiIp/mdGgGtNzO\nuXPnMH/+fJhMJmzZsgU6ne6O8vGqYyIi8mlK3kdrs9mwbNkyLFmyBMuXL1dkn4PSo62pqUFmZiYM\nBgNSU1NRXV19y+0OHjyIpKQkGAwGrFixAjabbTDiERGRD1PyYqjS0lI0NTWhqKgIMTExruXdd9/1\nOJ/0QtvZ2YmcnBykp6ejsrISWVlZWLlyJdra2ty2+/XXX7FhwwYUFBSgoqICI0eOxLp162THIyIi\nH+dwaAa09CUnJwd1dXWoqqpyW9asWeNxPumFtqKiAlqtFosWLUJAQAAyMzMxcuRIlJWVuW134MAB\nJCUlYeLEidDpdFi7di2OHj3KXi0REfVJ6ZmhlCa90FqtVkRERLitCw8PR319vdu6+vp6jB071vU6\nNDQUISEhsFqtsiMSEd0x3kfrPWovtNIvhmpvb4der3dbp9PpYLfb3dZ1dHT0uLJLr9ejo6NDdkQi\nIvJhan+ogPRCq9frexRVu92O4OBgt3W9Fd+bt7tZaGgw/P39lAmrsFGjRng7Qp+Yz3NqzgYwn7d4\n63MNt3ZvNuyfRztmzBjs3r3bbZ3VakVycrLbuoiICLfTxE1NTWhpaelx2vlmzc3tyoVV0KhRI3D5\ncqu3Y/SK+Tyn5mwA83lKiaLhjc/lre9T6XbVUrRlkD5Gm5CQgK6uLuzatQvd3d0oLS2FzWaDyWRy\n2y45ORnfffcdLBYLOjs7UVBQgKeeegqhoaGyIxIRkQ9T+xit9EIbGBiIbdu24dChQ4iLi8Pu3btR\nVFSE4OBg5OXlIS8vD8BfEzlv3LgR69evR0JCAv7zn//gzTfflB2PiIh8nNoL7aDMDBUZGXnLB+e+\n9tprbq9nz56N2bNnD0YkIiIaIob9xVBEREQyDfuLoYiIiGRij5aIiEgiFloiIiKJeOqYiIhIIvZo\niYiIZHIKbyfo06A8j5aIiGi4Yo+WiIh8mlblPVoWWiIi8mkaBwstERGRNOzREhERScRCS0REJJGG\nhZaIiEgeLcdoiYiI5OGpYyIiIolYaImIiCRS+xgtZ4YiIiKSiD1aIiIFaDTqnth+KOOpYyIiIol4\n1TEREZFE7NESERFJpPaLoVhoiYjIp7FHS0REJBHHaImIiCTiqWMiIiKJtE6ntyP0iYWWiEgBvI/W\ne9Q+RsuZoYiIiCRij5aIiHwaL4YiIiKSiBdDERERScQxWiIiIom0TjGg5XZqamqQmZkJg8GA1NRU\nVFdX31m+O3o3ERGRl2kdYkBLXzo7O5GTk4P09HRUVlYiKysLK1euRFtbm+f5PH4nERG5+Pn5eTvC\nsKVxigEtfamoqIBWq8WiRYsQEBCAzMxMjBw5EmVlZR7n4xgtEZEC5syZ4+0Iw5aSY7RWqxURERFu\n68LDw1FfX+/xPn2+0I4aNcLbEXql5mwA890JNWcDmM8boqKivNa2t75Ptfw97vgyS7F9tbe3Q6/X\nu63T6XSw2+0e75OnjomIiP5Pr9f3KKp2ux3BwcEe75OFloiI6P/GjBkDq9Xqts5qtWLs2LEe75OF\nloiI6P8SEhLQ1dWFXbt2obu7G6WlpbDZbDCZTB7vUyOEUPedvkRERIPo119/RX5+Purq6vDQQw8h\nPz8fBoPB4/2x0BIREUnEU8dEREQSsdB6qL9TdB08eBBJSUkwGAxYsWIFbDabqvLt3bsXM2bMwKRJ\nk5CRkQGLxaKqfNedOHECkZGRdzQ7i4x8FosFaWlpiImJQUpKCk6cOKGqfCUlJUhKSoLRaMSCBQtw\n9uzZQckHAGfOnOlzXMtbx4bSlJ6urzcWiwXz5s2D0WjE9OnTsWfPHgBAS0sLVq9eDaPRiKeffhol\nJSVS2rfZbEhISMDhw4cHtd0hQdCA2e128eSTT4pPP/1UdHV1iZKSEjFlyhRx9epVt+1qa2vFpEmT\nRHV1tejo6BCvvPKKWLZsmWrynThxQsTHx4uamhrhcDjE559/LoxGo2hqalJFvuuuXLkinn76aTFu\n3Lhet/FGvsbGRhEbGyu++eYb4XQ6xYEDB4TRaBQdHR2qyFdbWyvi4uJEfX29cDgcori4WEybNk1q\nNiGEcDqdoqSkRBiNRhEXF3fLbbx1bChtoP+WPXXlyhUxefJksX//fuFwOMTZs2fF5MmTxbFjx8RL\nL70k1q5dK+x2u/j5559FXFycqKqqUrR9IYRYvny5iIyMFD/++KMQQgxau0MBe7Qe6O8UXQcOHEBS\nUhImTpwInU6HtWvX4ujRo9J/c+9vvsbGRixduhRRUVHQarVIS0uDn58fLly4oIp81+Xn52P27NlS\nM3mS76uvvsITTzyBmTNnQqPRIDk5GTt27IBWK/ew6m++ixcvwul0wuFwQAgBrVYLnU4nNRsAbN26\nFTt37kROTk6v23jr2FCajOn6bqWhoQGJiYlISUmBVqtFdHQ04uPjcfr0aXz//fcwm80ICgrC448/\njuTkZHz55ZeKtv/ZZ59Br9fjgQceAAC0tbUNSrtDBQutB/o7RVd9fb3bvVehoaEICQnpcY+Wt/I9\n++yzyM7Odr0+deoU2traerzXW/kAYP/+/fjvf/+LhQsXSs10o/7mO3fuHEaPHo3Vq1cjPj4ezz33\nHBwOBwIDA1WRz2Qy4eGHH8acOXMwYcIEFBcX41//+pfUbACQkZGBr776ChMmTOh1G28dG0qTMV3f\nrURFRWHTpk2u1y0tLa5hHn9/f/ztb3+T1r7VasXHH3+M/Px817qLFy9Kb3coYaH1QH+n6Oro6OjR\ng9Dr9ejo6FBFvhtduHABZrMZZrMZ9957ryryNTQ04P3338cbb7whNc/N+puvpaUFJSUlWLhwIcrL\nyzF37lwsX74cLS0tqsjX2dmJsWPHorS0FFVVVXjhhRfw4osv3tFUcv0RFhYGjUbT5zbeOjaUJmO6\nvttpbW1FTk6Oq1d78/eoZPvXrl3D3//+d6xfvx733HOPa317e7vUdocaFloP9HeKrt6K751M5aVk\nvuvKy8uxcOFCLF68GMuXL5earb/5nE4n/vGPf2DNmjUYPXq09EwDzQcAgYGBeOqpp2AymRAQEIDF\nixcjODgYp0+fVkW+wsJC3H///ZgwYQKCgoKwevVqdHd34/jx41Lz9Ye3jg2lyZiury+XLl3CggUL\nEBISgsLCQgQHB6Ozs1Na+1u2bEFUVBQSExPd1uv1eqntDjUstB7o7xRdERERbts1NTWhpaVF+qnZ\ngUwhtm/fPpjNZmzYsAGrVq2Smmsg+RobG/Hzzz8jPz8fsbGxmDt3LgAgMTFR+pXR/f3+wsPD0dXV\n5bbO6XRCSL41vb/5Ghoa3PJpNBr4+fmp4nFu3jo2lCZjur7enDt3DvPnz4fJZMKWLVug0+nw0EMP\nobu7Gw0NDVLa//rrr3Ho0CHExsYiNjYWDQ0NePnll/HTTz9JbXfI8fbVWL6os7NTmEwmsXPnTrcr\nDdva2ty2q6mpEZMmTRKVlZXCbreL9evXi+zsbNXkO378uJgwYYKorKyUnsmTfDe6dOnSoF113N98\n586dE4899pg4fPiwcDgcYufOnVKuOPU032effSbi4uLE2bNnRXd3t9i+fbt48sknRWtrq9R811VU\nVPR61bG3jg2lefJv2ROXL18WU6ZMEcXFxT1+9uKLL4qXX35ZtLe3u67+ra6uVrT966ZOneq66ngw\n2/V1LLQeqq2tFc8995wwGAwiNTXVdVl7bm6uyM3NdW136NAhMWPGDBETEyOys7OFzWZTTb4lS5aI\nyMhIYTAY3JaysjJV5LvRYBbageQ7evSoSE1NFQaDQaSlpQ3afzT9yed0OkVxcbGYOnWqMBqN4vnn\nnxd1dXWDkk+InoVWLceG0nr7u1BSUVGRGDduXI9jtaCgQDQ3Nwuz2SwmT54sEhMTRUlJieLtX3dj\noR3Mdn0dp2AkIiKSiGO0REREErHQEhERScRCS0REJBELLRERkUQstERERBKx0BIRUZ8aGxtx7do1\nb8fwWf7eDkAkw6OPPgqdTtfjSTrTp093m5ydSG02b96MsLAwZGVlYePGjRg/fjwyMjLctvn999+R\nlJTkmvLQ6XRi9OjRyM7Oxrx58xTNY7PZMGvWLBw7dgz+/iwZnuC3RkNWSUkJxo0b5+0YRANy7Ngx\n11OWjh071uf84+Xl5bjrrrsAAGfOnMHixYsxfvx4REdHK5bHbrf73MMe1IanjomIVGDu3LkwGAyo\nra1FRkYGJk6ciIsXL2LWrFlobW297fsff/xxPPLII6itrQUAfPDBBzCbza6fnz9/Ho8++igA4OTJ\nk3jmmWeQnZ2NuLg4nDx5EgcOHMCMGTMwefJkZGRkoLy8HABcvWmTyYSamhrU1tZi/vz5iI2NxcyZ\nM7F9+3alv4ohh4WWiEgF9u/fj61bt2Lq1KmoqqrC5s2b8cwzz6CqqgojRoy47fsrKirw559/Ij4+\nvl/t1dfXY9asWSgrK0N0dDTWrVuHgoICVFZWYtGiRcjNzYU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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "alex_jointplot(ds2, vmax_fret=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "**Executed:** Tue Jul 11 21:51:36 2017\n", "\n", "**Duration:** 14 seconds.\n", "\n", "**Autogenerated from:** [Example - 2CDE Method.ipynb](out/Example - 2CDE Method.ipynb)" ] } ], "metadata": { "hide_input": false, "kernelspec": { "display_name": "Python [default]", "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": "3.5.2" }, "toc": { "colors": { "hover_highlight": "#DAA520", "running_highlight": "#FF0000", "selected_highlight": "#FFD700" }, "moveMenuLeft": true, "nav_menu": { "height": "208px", "width": "252px" }, "navigate_menu": true, "number_sections": false, "sideBar": true, 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