{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Quantifying wound healing/cell migration in 3D" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Timo Friedrich and Jan Kaslin showed me some 3D fluorescent labelled cells invading a wound that they would like to quantify. Initially, quantification along a single axis is acceptable. Let's load a sample dataset:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "import os\n", "import numpy as np\n", "from matplotlib import pyplot as plt\n", "\n", "datadir = '/Users/nuneziglesiasj/Data/zebrafish-lesion'\n", "os.chdir(datadir)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "from gala import imio\n", "im = imio.read_image_stack('sci-quant.lzf.h5')\n", "im.shape, im.dtype, im.min(), im.max()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "WARNING:root: progressbar package not installed. Progress cannot be shown. See http://pypi.python.org/simple/progressbar or type \"sudo easy_install progressbar\" to fix.\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "pylibtiff not available: http://www.lfd.uci.edu/~gohlke/pythonlibs/#pylibtiff\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 7, "text": [ "((104, 18, 512, 512), dtype('uint8'), 0, 255)" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, let's look at a slice to make sure everything looks all right." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from matplotlib import cm" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "import vis\n", "cshow = vis.cshow" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "cshow(im)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 10, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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FDLlzHEEh8eyF76Jxe7nolVupWvwucCwbMbIvTtc9LZzOcaGKXrGQaxvWYTu7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\n9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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The idea Timo and I discussed was to use the centres of the cell masses at the top and bottom to define an axis along which to measure cell migration. Below, we try to reliably find the centres:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "sample = im[52]\n", "top = sample[:, 0, :]\n", "bottom = sample[:, -1, :]\n", "plt.subplot(121); cshow(top)\n", "plt.subplot(122); cshow(bottom)\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 11, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Whoops! The anisotropy is killing the visualisation here! let's \"expand\" the images to see something a bit more reasonable:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "top2 = vis.expandx(top)\n", "cshow(top2)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 12, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Much better. Now, we want the centre of that blob of cells. My suggestion is a gaussian blur, thresholding, and center-of-mass computation. Let's try that." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from scipy import ndimage as nd\n", "topg = nd.gaussian_filter(top, sigma=[5, 25])\n", "expandx = vis.expandx\n", "cshow(expandx(topg))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 13, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "np.unravel_index(np.argmax(topg), topg.shape)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 14, "text": [ "(15, 138)" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "That looks like a pretty bloody good estimate. Let's try the same thing with the bottom:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "bottomg = nd.gaussian_filter(bottom, sigma=[5, 25])\n", "plt.subplot(121); cshow(expandx(bottom))\n", "plt.subplot(122); cshow(expandx(bottomg))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 15, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The \"reflect\" mode padding the array might be biasing us away from the actual center. Not sure how to deal with this yet but it's something to think about." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For profiling, we might want to simplify the problem to 2D. Let's see what this looks like:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(bottomg.sum(axis=0))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 16, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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C\n", "text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looks pretty Gaussian! We extract the mode, and find the limits (which will define our acquisition width) using the width-at-half-maximum (WHM):" ] }, { "cell_type": "code", "collapsed": false, "input": [ "bottom_distrib = bottomg.sum(axis=0)\n", "top_distrib = topg.sum(axis=0)\n", "flattened_image = sample.sum(axis=0)\n", "cshow(flattened_image)\n", "bottom_loc = bottom_distrib.argmax()\n", "bottom_max = bottom_distrib[bottom_loc]\n", "bottom_whm = (bottom_distrib > (bottom_max / 2)).astype(np.uint8).sum()\n", "top_loc = top_distrib.argmax()\n", "top_max = top_distrib[top_loc]\n", "top_whm = (top_distrib > (top_max / 2)).astype(np.uint8).sum()\n", "print(top_whm, bottom_whm)\n", "\n", "angle = np.arctan(np.abs(float(bottom_loc - top_loc)) / flattened_image.shape[0])\n", "width = max(top_whm, bottom_whm) * np.cos(angle)\n", "\n", "from lineprofile import profile_line\n", "prof = profile_line(flattened_image, ((top_loc, 0), (bottom_loc, flattened_image.shape[0] - 1)), int(width))\n", "plt.figure(); plt.plot(prof)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(83, 85)\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 30, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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qLRdo0yLnd9ZGeM62uKTmOd38LezGGbSOIa4TxTNkJLygTjMRZug4B6vQoWF1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\nn/kMURRx5MgR7rjjDr773e9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Hg0wEuHH3lt+LbC3fPQZb7Trp65amh/Sc+LuUq09eMiKD\nopyLrJwnpM88SbW2F7vvAOF7Eh4yh9g98gRB6xVeTEJ2hxm57ZW9lkZ8oJzzKfsEo3f+DeKrr4OO\n+O7K/8ZmvsTGM+OEl5ZYf2QGPWfBWr724TVK2pDrP+DdT5/lePR+ujQ4qxf4962AhTNT1A5t0Fqv\nkM2UidbWKI/sQSlNK1kHdeNrA4tU9J3Ej0h+y/ErEiqDVGI/rZ/HxxSkUJfmgivHd2XLexhcOa4O\n+c4Kmd7V4UyLIrNimAuyCNMp6rvsgzTP5Li4+Sbnq6tf8kHm20kMi0+3XHNwnSk6QrxT2ql5ItNJ\nc0JOMrjuCvOP4voCyQXJuHxOBXX+9FJQppu3yE2CCkvoZpuRaodxJlls/TEzdpofiXtawOvP7Adt\nmVse58lEsav+EeK5l7DdRbrTxwkIyKyCgxY7UkUtgd7sYiPNy6cPUFeWKVvhgL6HRnaJX+dpnjId\n5s5MoTJovlZHBZYD75onOzJNftcxSrW9GEzv8JynfhZNpu0Eg89vp3VInhUJWH9s5MIrGkMZmCTL\nke5qGQLtX/vuqKRLAzUaKTCkCdQxnRu0BNeGnYCAOzEHZDl+dKS/Yckyii7Ckc9vFo+4ZcJBDnpZ\nX1dxdyIctuukr9bKCemDZO7AjbNDHZONNVsOsch2u/zyXRAuUs+5MxUKaw2hjgl0THdzjuTqOdaf\nHONl9RolVWNFrfKibXOlVe299epCSLpappVFEJRZf/hD5HseJl6ZZ4YDrHdLqFKOjSNsrDDlCFvr\n9W1KaVZUhxVzkX+n/jPfXZnk7Ead8HKG2jCQWUwr5MrFKYI7u4QnOqj6OJOjR1HXVGp3D8JbtVH9\ncfHV651OUH+hFrVHYgz+2QmXx4VG++cjXH7nbXIktVgnXFw+xx/ZPiec3MuOivpwMzTIfHL3R8h0\ng/goz1rIW9XfSptumXCQg+TUNPcSUPe7T8MOvchJ7ZsRPqYh8ziB4Or3d7qidvtgmrRnAZS6LjwA\nUtOhnW4QxjV0O+OXz47x983XOKWusl8FjJW60FYES03UEsydmYK0SWl5k+7uKdL6bkJiPllvc+fM\nIurdltLxBuFDCdRzdh9ZZt4aPqn+Ai/qs7yQBIxV22ycmkCvb6Jyi37hFCqwoC17d69RqiSkR8dI\nk43+HYryTU8+KFfEZ0k7BTOHpXF1+ULd/y75brH98w4uv3sLtRMgvmfJHZpz7XY4gxPyPijteFO0\nWUhBNAwf244Hwxa8vIDGHwtHUpA58k3zm32pzS3HHOTAu8lZZL8p1JZ7HH3Vajt1zbeDJWNdOf4x\n30H2tpxsUvV1k8tdEgJgrUGj6eRtGpuXKScNosVxXnhlH89Ol9FrGbYSEJ2fx3Q20UsQ/8Q+8nSZ\neGWB1oHDNI9OMbXyF/nBpQ0a0Yv8r/vvIVAx582r5HsNe+09jOsDrOWXeU41MUQsLo/1RH+eo988\nD3EVe8agkozZYBdhJSHc30HtPkZ4ZbV/p4GLOCyKKZG88yezb4YUCc9hWoN7Jsvx/f1y3NznIpem\nPIEoD1u5RS83I3nng6zffwtWkcYpvV7b0XYa0zBsTc7xIjxnUFmyvYNuCh9Gt/wt2/6O42MQjgbZ\np8PKHkZy0rr0rlz/rAGwZWeQiLZL62MPFksclMiuDYi7Ri7QMapSQ21uEl5pEMzOE75xBTM5gc0S\n1N6DHNu1ynr3FFltgmijQWmxSevgCQ6P/zSfUz/OaHiE+t5PU6XKAQ6zK7yTyvSPMjPycebzgCur\nY+jw2q7RaWGyBDXau+ovnyxjNkPqtTZZM8KOVKnGY1SC6pYxkCRfgOPzfxCffRNimO09qAwfiHN8\ndQJcYgi+CQDXz3TIcZX4xCD7XbbJf4uUe5GRFJ473ZFv1mTbTvtQ4l/RyU3ZVxkotlO65XEOUvXZ\njhm+e3PYBNsp+CLV0yJymoEDKeH6i018NdJNzL7te01wtPMW5to/HZUh6WLG6rBytXfPY2MBvbxM\nUBkjHy9R1Yan+Q7R5ScpXT1HfOrfE6+vkTTP0DWbXEy/w9rcF9inT1BSNYxN0J1V8ql7+YlglGql\nyw/uvYqeTlFxBR2VsZUy+uoywVILIsv6+ggju5vkE2VKI3toZg0cyFoEBPqA8TCNrYiGLYpBu6Yc\nA8dTucPL28R97cFy48Ux0hyU+eVO6+x0H0dw3ix3mYzkhfRWbdfPQfzyNVmffLelFGg+tuCXIT0Y\nN0O3/Mi2dNX4EYY3+xIOvzxZ5k7K8dPKRSKvBIMb4yd8V5XL546BR0GJbt4m1iXq+x7oeRwaDQgj\nbByhkpT0gTEmDy8DMF7qcnec8aPmDmqM8pR+BYALJLzf7mHG7qOmJli1C7Ro8UDt5zFjR2HlRV5u\n/3u+yAW+NzsN3wPV7ZLtraPXE/RGAzNRx8Yas1/BpiZ49jVWNs/d4LosMt/8Q2Y+bweZD/7vw8wM\n/z8k2PQAACAASURBVFlRaHIRHuEvIHca04HFRfW4Mgb11d1OLkOo/TKKzA5HMgp3u35ux4NBB+OK\nDmkVldU3U97pR7YdFQEoO7XjhpXnGFGkbg0aFF9IFYVPS6FQtJB8u9i9GdoBn1qHdK6+Tlx/ELO+\nSFAexa53MYeP8mP3XWTBwHwSs9io8cjkOgEB/0Z9nxhFjuWbV3dzbmKJqWCBvUozqgICFEdbzzMa\n17E6pkqVB3XM3NQKF8b3YeplqocajI20mHttD/GpFfKpMaKXm9hAkyQbfT45UFhehlKELQya8Du1\ng4dNYH+M5Dj4h7Dc7xKf8HEjYw21cJR23rqhLPeSHFeW67Ocg/K4udM25CVAfjSo7G+Re1P2bdBc\n9AWU7K9f1nY4xE4wnyK65cJBkpTCg57fjLlQZH4UfXck1Vf5W2az/rFduP6ehEGvPZOqq9tdM5v1\nALC8Q6hj2mefoTo6A+UR8hOHwMKsga7RHCp1aWURv7s8ztnxM1xNynSykNwokqdj3nh0kqu1Npfj\nLgeilKt5wKHgKaZWzvRusCJnmZS5tUk4mHPwwBKfKOd8PYHS3hb2FATzK5jNFfT4FEnW6l9s4yab\nQ+CH0SD+DjqENEjl9gVwkZbhX/Yr6/Z3VXnJqmtLO2/dcBGMK0/W6fAF96YrSW5jcOm10mAHB4cN\n0pZuxiQrCs+WNMwk26It3KRggHeAcPBVnqKd3tF2HfQHQ06CYeRHAxbtIi7mXu4IvhniFpY82AXX\nTST3v6o0xmao2hi2WkXvSbG5wljFShpzfqNMu1Emv1zi5cMReRKiXgHdaKHTTbpXdtE8ZKlFCadb\nI4Ta8Ey4xJjqHcqqEpAD1UqX9MUqR453qFFlOmwztmeJ5x48QPTsMnpimnxljmplD4sbr2/h8TCg\nbrudSO6k/nhIGoSg++W7RStBQlePzONCo90lLY7fDrBz2oTc7Uu6RGrTLWU5weKbG9LkdfWUdXmL\nYBh2U9R2t5vJPP44FD3zta0iXr8VodCv61ZjDv3fdjDp/PRFzN4u/6DdbqdUtEtIsNI/EARsuX0I\nepN6T+0oQVwle/A4KKBuwICu5thcYWcDojcWII6xm6uYtIPSIfljd6F2pTx4eI7TK5Oc3LXMy1d3\nkWyWGZlsorVh30iTS+tjNC+MMnp0nb86kdFQCZdJWDLw1GsHib6/BnmOrVaxC5dZ2nhjy+7sg61F\nfBwkOLY7kXkzYzwsndPmBrVVXvoinxdpME64+CaUfD3edvhAUb+dJukHYPltHUaDNrgirMFvQ6EW\nscMl/46IkPQlZVEan+RuMmhyDJoEg9Io8c+R7yHxFw7QNxnkALm/DsF2riRjDWVdZqM1R9rdIHp1\nHixggGWFfjbBtgLCxRZkCc25V8m6DdK0gbWG6NWr2NmISFk6qxXObtQZqXaw8yHNlRHKUcZcc4Tk\njzXKwObFOt+wvbsJEiw5MDazRnpwApSG5UX0yER/EUgEX6Lgvk09aEwcj9x3n5/D8kt+y/IGUWrS\nLQer/HF1GoKMknRj4tcj07sI10HlDvKaFW1UzqT0d/VB7s9hppdPw7CGt0OLeEdoDjs90AM3hzv8\naclvl3RhyR12kJrnJqK8akyqxqWgTH30UO97VIFqDTotKJXBWPL1RdJkgyiuo+MqptsgGNsDQUD+\n/hrjkxusLoxjV0PUrhR1WmHvtjx6ZJbXNkdZv9C7Ku6OE7MkRnPx3DRsaPRyRrCwBNUR7PoKSgds\nrr7Rv+DE94vLXdDZ5DsJqCnaIYsOtA1KO6wc+czfIYu8Tn6/nAB0OII0O/xF7o+vbNN2GNmgdg9K\nv52mVYRj+HUUmURbhMUOl/w7Qjj4KtHQvEMYBVttviJMwNHNqHRuUvm2bpHK5vLIdK4d/glO92al\nSljFWoNSmtFq74W3QW0X6focWdYiCOKe1hDXsSYj2HOI9NgoqmlhxmA2A6LpDibX6MAQlTKOTKzy\nYAjnjeGv8wj/lGf4/uw0eSck/ON5bJ6idIDNU9i9l+b57/fbYEzWv3zWV6e3478/Vjt1SUuMx+f/\n/8/em/5YllyHnb+Ie+/bMysra8nuquruInths5tqdlsQ6UXWQCORgqERQVgDAjRANMb2B8Of7A+y\n4PkDTGr8iR7AAwxgGwQGM7LmC8kBBIHCWLZkeGRKoilKbIq9sJfat8ysXN5yl4j5cPPcPC8y7suX\n1S31egqFl+++eyPinjhx9jixzOILnw8lbViOX7cf1gINQXwZ2lkdEwgnNWffSUG3LKOF5ZnDu+6Q\nhEN7Lyal27h4+LeAlmiLnoXlYu9CEJKGG1MHQ5VbFx0RVVW/E9AwhlG2SnmwYWu1uw6+TpSq9u6R\ndkekvVW2tl5h5macPkis6g662Dslxnn4sSfd3aXITjG4sMf6qA6dDqxjD/gSj1BS8Li1FA/f5gfX\nNsBaDBn722/SyUaY6z/Be8ek3KeTdBtcxezsZRiDXqgx5hyT7p6jtSFlDIKvUFsJaSF8XnAubcQK\n+8RC01pYiVmgX1W0nzB8Gr7jItMkvHYSiC1+7TwPfwv7XRbe9S3bcGgfaggTckII064X2bKh3SvQ\npoqFi93jmzTc0M7TdnmIeJkscUrpateFK+glPUqX089W6acrdEYbJCvn8A9fwjzyccyg1hRG/XOc\nGV6iciXWptibN8FCdTYD56GqSF8eM93tYfH0bMVZ63nOnwJgj13O0GFoHf7HGWQ1AxiuPUZ26mHS\ns48wHDxUV+SuZrUGwfzORI33RZusBA+xvRl6QQjj0Sq/TmKS32QOJAIRA7muo0PyGWqkck/P9pox\nhJushA40cwxNSnkHfT1cmOGzx0n042hYjy/ExSKzXJtAJ4F3XXM4zpQIPbIQT8BZpAEcp+4J0cak\nWdhvP+k3u+S0Olv5qqlGHab0hslSla8YpEO8d3SSAZ3uGu6Zp6gul3gPNnUY6zHpgOruWex/+HPK\ncsxg9BCumEJviCkc6ZU9qnNDjBvi+im+MPytXslNX/EQKf+JbZ639Sak28z4w2sP4VYtydUC0g5u\nfwuKCTY7g/eOQWeN/VkdDu0lPabV9Ahe28qex/Aaw31M/dVml36mzUMfFtfRxVjkOT1WYTxac5BD\ncT2+OaZAz79oiiKRtfYhv8lcynUZu9ac9GE+oaRfRrMV7STEeezcith8SBt6jMvCe8Ln0HrfMcT3\nV+GYjKnCAjGn2rI2+DAdATDonYWf+hSD53bpZAUPDcasWMeq8dx2lle3TjP93oDk7i757ddIu6v4\nJx7HXajDnmfPb3Pnu2fxA8PqJ7bYvb3Krz95n7Os8l1zneve8Wc7q9z/0TrZa5uQ55Ak5JtvYUxK\ndvYR3GgI1mBu3ODOvTpNW8apMwhDfLQRY5sZ8aBZr7G50H0dx4gE75nJmkSv2KLSizp8D8GHlr6x\ndGa9W/Ok9LnMKVbL4Ef7eTTexTR7z4cyQwhVr+OQEv6m1SzdxnEq8HHjkb5C51zMlGgbb2KSuZqF\niUmYVGM66YD09AV835AkFY8M93koqbhgYWQMQ+P5O2e38JehfPgU5q/9NczGJdyapbM+5fzGFv9o\n0KXzzD5m7Nm5tYqfWv63HXjIP8xz/gzXi4zd/3oKVhy+34duj+r+7ZoxDM/UZ2j2U+z+hGq6Q2az\nZpwej+PoUXRtZpRc00Qq32NSK5yz0JzTmkU4F5peJCqkn9EbyPS5kvq5UCuCo1XO5e+YCaLHop8X\nB6Z+j5AWY3R5knLyMVNZ5kZrtRJdAk68M/M9wRy0eqY5fey+2DV5XhCuiXdZaRUSYuhoClOqdd96\nXDGGJFWl5N7UpAyzVdK/9hmKx9bxGezcWuX6ZEAF5MCe92TGc8s7Hr98k+yTY+wjJeUnu6QPT/nK\nw1t8sj/m4/5R/v7GLlx02Dcheatk584q/3P+A35oNnHeYJ8pwIKZTPB797HdWmvJ9+9gjCG5uwvj\nfWb5DpNq0iyAmql153wBsUUcQmgWxBxyIU5jTEcTOBzNjNRmSCw1Wp8Apc0DXUw25hyUhR1qFJou\nM5M1bcfyGGKCREdKNF2GgnEZ0DQWVtDW44BDf81JNZl33ayIqZt/WSZDW7tauoTX4agaGx6uchLT\nIjEJmck49fx/j1tL8T2P6TuYWXxhGD62y9pwzH/Xz3nNOe6WKZmp23v93mnyuwOe++QVnk3qjVjn\n6XLBr/K/51u8df0c/Phg4Z1OGTy+S1kkzG4OSG7URWVM4Uju3Gd66xWMsWS9NXxVYpKU8f5N8nJC\n4Ys5tTQMwy4zN8vM4XF4i0n3mMki3zObzfkAYqagQKh6xzZzhb6QMCSrfRShbywMW4eRkGVxcVI8\ntj2j9wa9b8wKPXE62w2OclLNwfW18J42iBEfcISAdBuhuiog9QRDLUEIJYRQYiT3J1BCcrqA7QR7\nvSJ7fZ/pbo+dSY//Z3OVsbNspCUD6/jJ7TMUOz3MoGS7yHjSn+LjfkSF47rZ4eGsoDua1e0C9D2r\ngwm9/gyze3Ai9437JG/dwI2GWJuSJD2K6TbjyW18VdYO0rR/RB3WEjqm1i+D6xAXbUQvmabh2RNh\nmzFNRJdTCzU+0RTkHXQ5QmEAugpZrHpzLFtWCwv5LaSnUEM6Dl/LmKpwdL1I/9q0k2thmvky8K5H\nK/SLhXHakHtqm73NXIg5mjTINb1zr63qlBCRtqGbcXrTRCfCGHxsX4H+u/AF7u51kuHH8ZMUW5Uk\nm3u4+3dw154k72Wsn9qjax05YI2n2K7Dj9xMuWrOwuUJZ1nlY26ExTIyV/k+UG6MSK9sgjvF7Vtn\ncRcg+8kd6HSgLHDnzmFuXMWYlGm+TWrrBKvJ9C6p7dTVslWY0eOb8z+1/S3QliG4SEIuukfwuMwu\nR22Cau0mLEsv86GvhxqCBrlPftcFiHW/vaTXSGM4FBSxE9YERzp6oZ9ZFJlpw2O4wS0mKI/zES2C\nd505CMRsPwH94prry3f9vL4WMgo4JGa9865tLCIFtDNK/67PeliGIWmJfOv+y5x5dQ93kLtAUpcf\nowtVkbA76fF6ZfHekBcZ6Y9nmKImusf++g4/NBXPetgyezzL0/wfs5zx1XVMD9zaCvbqNcoXHoMt\noN+H2RQ/GmH3JwcE55oSdp10wDi/z0p/ozkiz3lHZrKmdP0oXWMn3wTa62m2qcX6NwFdIEV/h6Om\npjb7YvgNQ5cCsiilPX1mqpggiUkaWpBx6tBnyBCkfWvsHGPQizWkZR2OFPtf7pUxxEzbRf4yaVvj\nKsTL2zXN33WfwwM9v8SiPs6WhfZwXAzC3AWtOoqzK/RFSF+y2EKit8bSTwb14TLlHh3bYdg7S3bx\nKcrHhtjzOe5+RvrjfczuDm6yizl/kZ/6u5s8lnh+kKecSip+eOcM+d0B7Bvoe5gY0u+/Ducewq10\ncRfA3AQ7LrHbu/h+D3fzLapqynS2zfSgIK7eZu5wFK5gmI7YK3cbAo5lTYZSWnDSRtzL7KU5jslq\n5h0WIoajkjRcTDIGLZ3D9rRJFTKrGBMK79XvGfo1dFva+a6ZWYzG2nATu962Dt5X6dMhLHr5kLu2\naQwCbZpI2++hpJPFEsvglL511aQYyHhl96aolc47JtW4ltDekZiUncktem/sMRo/TblzhvT+FHeq\nTzKZYLtDPNAznrves1d0eOM/nMYNEjjnSd/ax+ztUT18Fs6cx+yPcRf74D2+a2AMfjiAqiI5ewG7\nfZeqnGJtym6+zWpnnbwa12N21YF0HDfSMLYHIWbfixRvg7fDGPTcSFuhRNcLS/uMZM7Crdlhe7q0\nm96QJe3EGJ/4KzSD1dpKmMgXmsqaScQ049AkiuGpjTHI+GRMy8KxDskrV67w8z//8zz77LN86lOf\n4l/9q38FwObmJp/73Od46qmn+PznP8/29nbzzFe/+lWefPJJnn76ab7zne8sPRiB8CX19eOyyjQs\nk2J9nA2s++zYTvTwklClDAlAO1H1rkCZsKmr91g46pCncyX51lXSWzu4XoZ7xFB8/BwAbqXHH984\nz/funWF7d4CdlKS39mHL4jsZ1cNnsXszTF7gdu7CzJO8XmB3SnxiwTnK5/q4fg9z+jxZNiIxKb2k\nh/MlucvnjgZcVDsxxL9eoOG26EWg8aXbiUl+jXOx5wWfMg8d22nySiQsKxqP/NOaXDhnMH/UnO4H\nVMm/gzwOYSLC/CWMKr/F/CQyZoDVzmm6thu9R4PWfmI40RDmWRy3HSEGx5oVN2/e5ObNmzz//PPs\n7e3x0z/903zzm9/k3/27f8fZs2f5Z//sn/Ebv/EbbG1t8bWvfY2XXnqJv/f3/h5/9Ed/xLVr1/jF\nX/xFXn75Zaw95EMPYlYsk2G3rLp1XB9aQ2lzGGlzYZGU09/1dZFsmc1ITDJ3ZkbHdsmSHr3HnqN8\nZAh9j9kEu1tg9ycUL4wwmYM3U9wPvk/n1EX8qVVcPyW5fpty7x7JpSfAObh7k+oTHyd9/QYYS/HT\nG2R/fp/i0imMA37w5zhfsjO5ReEKuraL43BBxfwHsDg5J2auLfLJnATacBkbq47ta9NBOzBDib7o\n/bS6H9NeYw7ENp+LtAeHpkQ/GeBwTMpxdAfwIqHZht+YqfuOhTIfeughnn/+eQBGoxGf/OQnuXbt\nGt/+9rd58cUXAXjxxRf55je/CcC3vvUtvvzlL5NlGZcvX+aJJ57gu9/97lKDCUE4emx/Rfg3cAQp\n+nrbc/K39ihrSSmLRLLMJNQWMg+5ricn3Aik+xQiKlzR7GEwmIPvE/oPfYLi8SG+A2ZQYaYVdnfM\n3tUfYN8E+0NP+voNvCvx+UH8upfg8wnp6gbVqS5mbx+TdnF/+j3y3Vv4U6dIXx5TnVsle+0W9kev\nUhR7FMWYju0yTEcUvjgSEtQEvkhatc1F7PuiZ5f5XY8rZNyiNciu0HC/jJaobX6J8PfQDyB0Kc/J\n7yKxU5M25klbn6JxGMzBLt0J43Kfru3STXrH5kbotmMmFxD1xywLJ8pzeOONN/hv/+2/8dnPfpZb\nt26xsbEBwMbGBrdu3QLg+vXrXLp0qXnm0qVLXLt2ban2w/RSbZMJ6AlcJL3awpNCOPp6mGEWO3ZP\nxqAPSZHnZVGHlZO0c04+9UITAtPJO5I/UTy2TnpmxpPPXuP0xjZ8wtf7IgD/Fy9hbtwg37lBUU0Z\n71zFTKakb9zB9Fbwo3pjFv0+O5uvkKQDrEmprr6KGY9Jrt6m2rtHme8dxvhtSuVLuklvLnMwZBAa\nTyHR6/dqgzYibrtvmXvC3BdZcDJGfQZoGGkJxyNMJexDL2pNl5IaL31Km2JaxDQHbXI1/fq6zY7t\nUPqSvJrRs70583MRfkITLqS1B4GlmcPe3h6/+qu/yte//nVWVlbmfjPGLDQVljUjwjBOaMMfBzFb\nLAQdtpK25ch24fRhDroOgWmbVPcndmxMYujYvb4uzESHVQtX1KbGozMePr/FTtFh5/6ItJ/jR0M6\n2QjnS/buv8H+bLOuZp10qDZv1GMZDjDbW1QbKdWpPoPeWSbTu9ikQ9IdUW7fJN+pi8h4V5ImHaxN\nmwN48mrWSEJ5t9iegNiikt/bTLtFsEgj1BAzcbQ/Qb7Dod2tGXq4YEUYaAYegj51Xc8xHKbGh1pV\n7D1kjrXJ1tS5xDXtdZIug2wFY+ZzGdrGJ++s6TrcPfsg5txSzKEoCn71V3+Vr3zlK3zxi18Eam3h\n5s2bANy4cYPz588DcPHiRa5cudI8e/XqVS5evHiiQYWLLiahYmZGm/0YgiboUD3V9qOMRSSJ3kgE\nh0fhaaaht/fGJiSmVspYmueMxb3WYXNvyP60i00crkzwvQ4Gy87kFpNyv2E6s2KP/fFNyp1bsHUP\nV0ywmw77xpsYY0lMSpHv4Mscm9RtZJ1VvHf1s7JNOx3ORVZieNTSNkaoi5LTloWYGaZBM6CY01mH\nnYFGAsvvun1hzrLow+gE0JgnIjQ0I1j0Xvq+tncQ2pJaH5WvmJRjdvItptX0SNi3jcaF1mKmTIxx\nLQPHMgfvPf/gH/wDnnnmGf7JP/knzfUvfOELfOMb3wDgG9/4RsM0vvCFL/Cbv/mb5HnO66+/ziuv\nvMJnPvOZEw0qRmBtkyFIWGQ7toEQklaftf0oaqKoaDrmrJ/TfYVpvzHtR9+rVUxRISflmPTKXcY3\nR8wmHbwzlFd7lK/+gL3pbXrp8LBik/cHDsSS9PQFqukOxqaYwmGGa9juiE5nlTQb1RWgNi7BZz+N\nyXp14Rib0kn7VL5kWu7Phf5E8rZl6bUxgmU1vXDORJKG0jLsWy+Q2Bj0RihrLDM3a/wBouHJHMrc\nNNmgByaeDnfGtCjdb5hWLfMY4kG/R0wj0NqkjC/0GegFr+lb8BfmQmgT+R0/Du8//+f/zM/93M/x\n3HPPNebBV7/6VT7zmc/wpS99ibfeeovLly/zW7/1W6ytrQHwL/7Fv+Df/tt/S5qmfP3rX+eXfumX\n5js9QbTiOLtJe2PDBBc4/nRhnWgSprYuMzY9rlj5MF0AJhybtCG1BmZuRu/AEbXSPUP39GMUP3MW\nKkP6h2+xvfUynYMDb2flPsbUKnPHdsiSHgZLv38Wu3qW6qHTuL6tU6edx8/2ycd3ST/xAm4txe47\nkptbVPdvc2/3dVKTYkx9PgfM5wvEsiA1/hYlCC0Lx0WjwgSrGMOKRS3CcYXJT2Gmps6IDc0P/dnG\nJI7bnLaI6elx6nvDMcWei717eK0RgO+nArNzv3E0S20RsYW/a4lX+rJZnBraCHERUcWYjJyMpAlM\nhzcN9aEpUmBE7ovVywx3//WSHlnSw7mSTjqgciWTg0zFTjLAqefH5R7DbJXh6AJVPsa5nOyxZ+HW\nNdzlx+q8h537bN/9EavDS/gnn8Du5bjrb1AWexibsjW+PqdyS9xeJFj47mFmoSbocD7a5i82D7HQ\nm/5tEV0cl5UZazdkfjCveYY7KzWT0UVnNTORNuT7ovNVFi328J2Oo9lF9KvhfcscTtROZEJD22uZ\nsmYxqbgskcc4/XELJiZhQpVUSpTB/LHyBtOUKcts1pgVa4OL2KRDWY4pijHDC89CksDu/abfcrxF\nuroBB+HPvd2rFNUMaxP8gU1tjcVi55J4YuNfJOVDfB63EBbh+Di8L/uMvj+2/TwWLtdCYdE2fXke\nWEhvJ9GqtFBKTMK0mh7ZfwKLTbs2/L9vtmzHQC/6mP0qtpdX/wS07RXLTouBduAI0iU5KcY4tK3X\nO9gwJVpC6NkPfRPi9Ar7FHtXE4BW7SXEWKv/ln46pHBFI91n+Q7745skSY/+059hdusV3OZNqsl9\npjvXcMWEshyzd/fH5Lu3qPIx/kA7SG2H1HaOMAZ5h5CBHZeMpn03mkhj/iE9pzFf0aI5k89YqFj7\nAULfk2YMOtVZwBpL13bRPo02qS1+EsmnCP1H4ZiP88ekJm3GnJq0To7z/ghujst4jNH9SQvMvuc1\nhxj3hXlVLdzgorlrLHIQOnXaHG6xMRzH/dsObQkh7FcTqVbtxQ/ST/pMq2mTB9Gx3eZsiU7SpXQF\n3aRPNxthTMqs2MFgGZ5/imrnbn0oTj6uGYjtkNi0MVV0kpc5cIh6PD3bi9aPFNw9CMTm6ji/ksCy\n2ltMG9B9S4ozLGZ02txbttDNSWhlUZ/yt9CoZNC2PdPma5FxzJXRf69rDm0SREMYM9fagt6covff\nt3myQ07axhhiY9K/a+6r3yEMv+rnYu8aI8owAw9oQmzTatpoIvZg2s4OH6WfDsmr2htvjKWqcvZn\nd/HekSYdyGe4Ksf0R1TVlH53fa50+9rgIqNsDWMsxlhKV7DaWT/yXvI+WiK2zd+ieY2F5ZZ9Vkte\nka5aZZZ7ZNxhBqvkskgGKNQOY2nPcJgAZ4jvKwkzZcMxa40zpJVl3jHM9YF41Wjdhs7sDRPC5Ppx\n2l4M3jXmEJoDMQhfKGY+hL9pzUIgRujSfkz1C2EZgtUZcolJ6NneHMHGbGD5HKUrzT2yeMKNO9ZY\nMpvVtqdNKF3BZLZZM4QDp9i42GVa7tHPVulmI6zt4IoJSdoD7zBYnMvpn3mc7uAs3d46xlg8jryq\nS9gXrqBwtYZi7bwWJgtuGbMiBm2htBhDPa5tERBaQ9NMOPxbSslLX2IKSCRJruv7NIjGJglrmnbk\nMzXp3NkkbTiJaWKx77p4jX5esnxj7xr6RZZlSjF4z5sVc8+1qE1tGkAboclvJwmfhc9D+34BIbZl\n8gBE3ZMaf3oRQk0IUlRE1GFRM7W2oh1tvaRPr7tGVU7p9taxK+sUnzhH9upmXfQln1BMt8n66xib\nkO/fYZrvAFAe+DF6Sb/J2puU47nx6uiF3t7cBidVtY8LVcbalwjXsqaPRJq0phFulV6kpss9WkuQ\n9mImrA5HtoEeu37XZUzUMJwcvr/4xKZu+sGNVoSeV60+Vr4+LEaIeZF9GtqmJ/E7LPNbLOy2rA/C\ncBiRCL/HNCJtl2Y2I7UZ/WyVNB2QnLkI0zFusosdnsbnE0ya1QxitkNVTpmWe3Mh2VG2VhN7NSVL\nekyKXWZudqQoyTL4Oamf4Ljn2nxKPdtrCuMKTsK25DPmFwrNEP2esXB421hjUbKTQJsfZpEgW4b5\nar/De97n8HZBEBA6lvR2VwE94bHFJXkFIYgUl/5ialmbw1TnCIRjlvt0e6HUknx9YQz6cGCd4iyE\nnbuc1c46/XSFUe88ztUFY92wjzt3FpN2wBpwJTiH6Q6pyilJ2sMc1F8Qx+Ss3KfyJbmbkSSdpt9F\nBVz0uy8jvUM1OzQ52ghcLxz5OzEJUzedk7R6HNoU0btvE5M08x7mOkj0QQ71EZAogvwN8xupwsK0\n+r4QN7F75Nmu7c7RXBhm1Z8xk0W3Kfec1O/wvmUOIWhHTJjhphEbq7Lj8XP1AAVC+zq0a3Ub4T1h\nBSANodYiz7WZKdqE0FWk5FMIe1LuktiUotijOziL8yXlo12qUxl4B2WBSbv4coYb1/kPRTFuMlD5\n8wAAIABJREFU3tX5+pRtaxMMlo7tNuYGHNrAImFDxieMahETjL0fxKtDhc41SW4LF4PeQh1KUGlD\nV2qWf7JpCubNI10KMDZm7SiU73Kt8PX+C/FR6Puk/7Bd3aZ814lzGjTNhrjWONX1M9sE23HwvmMO\nbZIodC5qVTJ8PkR6GxHEyqO3TYi+1xobPQo+5iPQEks+xYMeEnKMOR1p2zusTZns36YzPEdyo8QU\nHs5fwM32ccUENi5iHn603uDlSyy2Weyp7ZBXs4OqULXELH05d/p26Jhs04C0A1C+L6NVyEKPMfk2\n80NLRj1HMh7xR+jt3FAfThMuTl1lXDsD9X16sev5k/kMTYM230bYhvSv24zRp+BDj0XTYFgA+EFM\nnPetz0FgmWy9tsXY1k7MVDipDRveJ/2Fi0Ork6FGoa+FTKafDpkcbJRy3rHaPYNNOrgqp9Nfx54+\nT3FhFTqG7M1dmE2bPRZ4h0ky8vE98I6d6Z0mPAqH0q/uZ4W9Yjsaa9d+En1oShveloHQB9Dmr4kV\nqY3RQmyu5VrssJkwI1KDNn9izMR51zj9tCYSy0PQDFDaDsd6nC+mrVBvSGPhfR9Yn0NoT8aIQXPd\nmBOtzS6Tf7FFrNsPiVWkS4wZhG3EstR0vwKSbafVSI8/lGoHBNwwimKHvNijdDnj/ZtQVfhV4HRF\ntT4E58m3r1BMt3HFlHx8j87gDHvTe6QHKnDpSxx1SfrM1PH6/eJ+Q8RiW8fMtZhZ9iDSSvuSYnZ1\nbN4Ff/KMZBmGbcbqf+r2tdmpS9JrJi4LXuZCmzWew+MK9NZ9OLrN3OPn6nvocQqONW2GeNBjXIRH\nrUWc1LR43zEHgRjhhYtyLissuF8IXRahJgb5lEmKEVqMwYRMQy8kWcgaYlJIkmyECDWhS2xethWX\nvqSXjjDG0kkG7Bc7ZEmP0ZknIc8xO2Bf9yRvXKXavUOSDqhzHUryYo/JzjW66RDnDgui6sI0yYH0\n1MVvwji6xkWbeRZCeF8scUfa1YtH41ifOBYuMM1ENUh2pDYbdP9hCFn60vQRMqVQ85N5kvkWpqVN\nCX1v+O6a+YS02+Y70Nc0/YWVyXQR22XgfWdWLIJFalZM5Yd4DLktXNbWrm6vbQeegNwvoTcJlenz\nKcPxhgxHoiuj3nmyjcuwex9fFfiqxJ4+KN33d6fcuT+inGXY/zJl683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HLNqCnnfRNLTZ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\nueAOLnLkma0IVyJCWJYOr0VPs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wYynu3LlzsWLFCuh0Ouh0ulavaYkvBQIAuOsuoKCAuolsoVJRyQl7mcsI2ren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\n57UZcwYHAolbtw4ICmp9+8C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