{ "metadata": { "name": "", "signature": "sha256:afff04d173913306d6b043dbb405cfe825a758b2e8c8df1a966488037f56c89e" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "In which we explore temporal derivatives for dealing with timing issues." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "import matplotlib.pyplot as plt" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Get HRF models:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from nipy.modalities.fmri import hrf" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "# Times from 0 to 30 seconds at 0.1 second intervals\n", "time_30s = np.arange(0, 30, 0.1)\n", "# HRF for these times\n", "canonical_hrf = hrf.spmt(time_30s)\n", "# SPM's own temporal derivative\n", "canonical_dhrf = hrf.dspmt(time_30s)\n", "# Something less unexpected for the temporal derivative\n", "# canonical_dhrf = np.gradient(canonical_hrf)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(time_30s, canonical_hrf)\n", "plt.plot(time_30s, canonical_dhrf)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 5, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAEACAYAAABRQBpkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEEIgYSCEEAL4/8EEvw70TC/VAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Make lots of simulated HRF shapes, offset by 1 time delta" ] }, { "cell_type": "code", "collapsed": false, "input": [ "time_60s = np.arange(0, 60, 0.1)\n", "long_hrf = hrf.spmt(time_60s)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "import scipy.linalg as spl" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Toeplitz routine is a trick for making HRFs offset at 0 seconds, 0.1 seconds, 0.2 seconds ..." ] }, { "cell_type": "code", "collapsed": false, "input": [ "hrf_collection = spl.toeplitz(long_hrf, np.zeros_like(time_30s))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.imshow(hrf_collection)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 9, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAJwAAAEACAYAAABGax/BAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nf2oVpP30AAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "time_15s = time_30s[time_30s < 15]\n", "n_time_15s = len(time_15s)\n", "n_time_15s" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 10, "text": [ "150" ] } ], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "time_pm15s = time_30s - 15\n", "time_pm15s[n_time_15s]" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 11, "text": [ "0.0" ] } ], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "hrf_model = hrf_collection[:, n_time_15s]\n", "dhrf_model = hrf_model.copy()\n", "dhrf_model[n_time_15s:n_time_15s+len(canonical_dhrf)] = canonical_dhrf" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(time_60s, hrf_model)\n", "plt.plot(time_60s, dhrf_model)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 13, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAEACAYAAABRQBpkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "np.all(hrf_model == hrf_collection[:, n_time_15s])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 14, "text": [ "True" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Make the design matrix" ] }, { "cell_type": "code", "collapsed": false, "input": [ "X = np.vstack((hrf_model, dhrf_model, np.ones_like(hrf_model))).T" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 15 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.imshow(X, aspect='auto', interpolation='nearest', cmap='gray')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 16, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAXoAAAEACAYAAAC9Gb03AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Fit the offset data with this design:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "Y = hrf_collection\n", "B = spl.pinv(X).dot(hrf_collection)\n", "fitted = X.dot(B)\n", "E = Y - fitted" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "rmse = np.sqrt((E ** 2).sum(axis=0))\n", "rmse.shape" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 18, "text": [ "(300,)" ] } ], "prompt_number": 18 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(time_pm15s, rmse)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 19, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAXUAAAEACAYAAABMEua6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 19 }, { "cell_type": "code", "collapsed": false, "input": [ "time_pm4s_i = (time_pm15s >= -4) & (time_pm15s < 4)\n", "plt.plot(time_pm15s[time_pm4s_i], rmse[time_pm4s_i])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 20, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAXIAAAEACAYAAACuzv3DAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ncSzkREQax0JORKRxLORERBr3/xU6BvgdoTHNAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 20 }, { "cell_type": "code", "collapsed": false, "input": [ "tm1_i = np.nonzero(time_pm15s == -1)[0]\n", "t0_i = np.nonzero(time_pm15s == 0)[0]\n", "tp5_i = np.nonzero(time_pm15s == 0.5)[0]\n", "t1_i = np.nonzero(time_pm15s == 1)[0]\n", "t2_i = np.nonzero(time_pm15s == 2)[0]\n", "tm1_i, t0_i, tp5_i, t1_i, t2_i" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 21, "text": [ "(array([140]), array([150]), array([155]), array([160]), array([170]))" ] } ], "prompt_number": 21 }, { "cell_type": "code", "collapsed": false, "input": [ "def plot_at_index(i):\n", " beta_hrf, beta_dhrf, beta_mean = B[:, i]\n", " plt.plot(time_60s, hrf_collection[:, i], label='y')\n", " plt.plot(time_60s, hrf_model * beta_hrf, label='fitted hrf')\n", " plt.plot(time_60s, dhrf_model * beta_dhrf, label='fitted dhrf')\n", " plt.plot(time_60s, fitted[:, i], label='fitted sum')\n", " plt.plot(time_60s, E[:, i], label='error')\n", " plt.legend()\n", "plot_at_index(t0_i)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAEACAYAAABRQBpkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n", "text": [ "" ] } ], "prompt_number": 22 }, { "cell_type": "code", "collapsed": false, "input": [ "plot_at_index(tp5_i)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAEACAYAAABRQBpkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3XlclXXe+P/XdRY4cNiRHQUVFFFZFLfKssxMS1ts0WlM\nyzHHGadxmu7v3DXNPTXTr7Jl2uy+b9t3s+1OUyNLpSZTScUVRTRAdkH27Rw45/r9cQRBQYFz4AC9\nn4/HeXCWz3Vdnw9wzvt8dkVVVRUhhBC/aBpnZ0AIIYTzSTAQQgghwUAIIYQEAyGEEEgwEEIIgQQD\nIYQQOCAYJCcnExMTQ3R0NKtWrbrg9Q8++ID4+Hji4uK4/PLLOXjwYMtrkZGRxMXFkZiYyMSJE+3N\nihBCiG5S7JlnYLFYGDlyJN9++y1hYWFMmDCBtWvXMmrUqJY0O3fuJDY2Fm9vb5KTk3n00UfZtWsX\nAEOHDmXv3r34+fnZXxIhhBDdZlfNIDU1laioKCIjI9Hr9cyfP5/169e3STNlyhS8vb0BmDRpEnl5\neW1elzlvQgjhfHYFg/z8fAYPHtzyODw8nPz8/A7Tv/HGG8yePbvlsaIoXHvttSQlJfHaa6/ZkxUh\nhBB20NlzsKIonU67fft23nzzTXbs2NHy3I4dOwgJCaGkpIQZM2YQExPD1KlT7cmSEEKIbrArGISF\nhZGbm9vyODc3l/Dw8AvSHTx4kKVLl5KcnIyvr2/L8yEhIQAEBARwyy23kJqaekEw6ErAEUIIcU6X\nmuFVOzQ2NqrDhg1Ts7KyVJPJpMbHx6vp6elt0uTk5KjDhw9Xd+7c2eb52tpataqqSlVVVa2pqVEv\nu+wy9euvv77gGnZmsc/7+9//7uws9KiBXL6BXDZVlfL1d1397LSrZqDT6Vi9ejUzZ87EYrGwZMkS\nRo0axZo1awBYtmwZ//jHPygvL2f58uUA6PV6UlNTKSoq4tZbbwWgqamJu+66i+uuu86e7AghhOgm\nu4IBwKxZs5g1a1ab55YtW9Zy//XXX+f111+/4Lhhw4axf/9+ey8vhBDCAWQGspNNmzbN2VnoUQO5\nfAO5bCDl+6Wxa9JZb1AUReYiCCFEF3X1s9PuZiIhxMAmI/r6Pkd8YZZgIIS4JKmd912OCtbSZyCE\nEEKCgRBCCAkGQgghkGAghBACCQZCCCGQYCCEEAIJBkKIfuqZZ57htttua/Pc/fffz8qVK52Uo/5N\nZiALIS6qr74Hi4qKiIqKIj8/H29vb5qamggLCyM5OZnExERnZ6/XdPT36erfTWoGQgi7KIpjbl0V\nHBzM1KlT+eSTTwBITk4mICDgFxUIHEmCgRDCLqrqmFt3LFq0iPfffx+A999/n4ULFzqwZL8s0kwk\nhLiovvwerK+vJywsjO+//54pU6Zw9OjRdndbHMgc1UwkwUAIcVF9/T24dOlSdu/eTWBgIN9++62z\ns9PrpM9ACCGwNRUdPnxYmojsJDUDIcRF9fX3YG5uLjExMRQXF+Ph4eHs7PQ6qRkIIX7xrFYrzz33\nHAsWLPhFBgJHkv0MhBD9Um1tLUFBQQwdOpTk5GRnZ6ffk2YiIcRFyXuwb5NmIiGEEA4jwUA4nKqq\nPPTtQ/it8mPxF4sxNZmcnSUhxCVIMBAO9/b+t/nqxFfsuW8PJXUlPLz1YWdnSQhxCdJnIBzKbDET\n9VIUn97xKRPDJnKm7gzDX4hhCT/yx19HM2SIs3Moukreg32b9BmIPunrE18zxHsIE8MmArBruz9N\nqUv5tvx/mTIF8vKcnEEhRLskGAiH+uzoZ9wx+g4ATCb47W/hrt/PJ33aGMKfPsbyP1idnEMxkGRk\nZJCQkICXlxcvv/wyy5cv5/HHH++x62VnZ6PRaLBa2/8/joyMZOvWrV065//8z/8QFBSEl5cX5eXl\njshmt8g8A+EwZouZL49/yePX2N6M69ZBwI1n+MqjlrGn/o05IpTtozUcODCC+HgnZ1YMCE8//TTT\np09n//79F7yWkpLCwoULyc3NbXnu0Ucf5eTJk7z33ns9kh9FUVC6sB53Y2Mjf/7zn0lNTWXMmDE9\nkqfOsrtmkJycTExMDNHR0axateqC1z/44APi4+OJi4vj8ssv5+DBg50+VvQv/875N9F+0YR72VaN\nXPuRyulbT7JmxAiWR00hqmQtytRSnlhX7eScioEiJyeH2NhYZ2ejWywWC0VFRTQ0NDBq1ChnZwdU\nOzQ1NanDhw9Xs7KyVLPZrMbHx6vp6elt0vz4449qRUWFqqqq+tVXX6mTJk3q9LFnO7ftyaLoRX/f\n/nf1P7/5T1VVVbWsTFXdJparI3buVq1Wq5pXmaf6rfJT/7I/S3V59IhaU+PkzIpO66vvwauvvlrV\narWqwWBQPT091ePHj6uLFi1SH3nkEbW2tlY1GAyqRqNRPTw8VE9PT/XDDz9UXVxcVL1er3p4eKgJ\nCQmqqqpqRUWFeu+996ohISFqWFiY+sgjj6gWi0VVVVW1WCzqn//8Z3XQoEHqsGHD1NWrV6uKorS8\nfr7IyEj12WefVePi4lRvb2/1zjvvVBsaGlRVVdXt27erYWFh6qpVq9Tg4GB1wYIFqtFoVBVFUT08\nPNTp06d36/fQ0d+nq383u2oGqampREVFERkZiV6vZ/78+axfv75NmilTpuDt7Q3ApEmTyDvbg9iZ\nY0X/siN3B5cPuRyAL7+EQYsKuS8sBEVRCPMKI8I7gqu8TmGdWMb7Xzc4Obeiv9u2bRtTp07llVde\noaqqiujo6JZmGnd3d5KTkwkNDaW6upqqqioWLFjAww8/zPz586muriYtLQ2AxYsX4+LiwsmTJ0lL\nS2PLli28/vrrALz66qts2rSJ/fv3s2fPHj799NOLNgOpqsonn3zC119/TVZWFgcPHuTtt99ueb24\nuJjy8nJOnTrFW2+9xZEjRwCorKx0+vLbdvUZ5OfnM3jw4JbH4eHh7N69u8P0b7zxBrNnz+7WsaJv\ns1gt7M7bzeR5kwH4epuVkoWlLAwa3pLmhugb+O7kZiY0LOa1EyUsY3BHpxP9iPJYN/asbIf69+4N\nX1XPGz7Z/Pj855ufa/18cXExX331FRUVFRgMBtzc3Fi5ciWvvfYa9913Hx9//DF/+tOfCAsLA+Dh\nhx/mu+++6zAviqJw//33ExwcDMCcOXPa9GdoNBoee+wx9Hp9h3l0FruCQVc6SrZv386bb77Jjh07\nunys6PsOnz5MqGcog9wHAbC9uIooV3cCXVxa0lwz9Boe3vYwv7v8/3FvSRYWy2C0WmflWDhKdz/E\nHcWez5KcnBwaGxsJCQlpec5qtTLk7ISYwsLCNl9ah3RiokxzIABwc3OjoKCg5XFAQAAurd4TfYld\nwSAsLKxNT31ubm67W84dPHiQpUuXkpycjK+vb5eOBdsIgGbTpk1j2rRp9mRb9IBdebuYHG6rFRQV\nQfmwchaF+LZJMzl8MoeKDzEnUo96op4vfmxg3lSDM7IrBrDm4NBekNBo2raMDx48GFdXV86cOXPB\nawAhISGcOnWq5XHr+/bkrSekpKSQkpLS7ePtCgZJSUlkZmaSnZ1NaGgo69atY+3atW3SnDp1iltv\nvZX333+fqKioLh3brHUwEH3TgeIDJAQnALBjBxguL+dav6Ft0rjp3UgMSeSn/F3EVITzZuEZ5k0N\nc0Z2xQDSuqmldTNQUFAQZ86coaqqCi8vr5bnvvnmG1RVRVEUQkJCuO6663jggQf45z//idFoJCsr\ni/z8fK688kruuOMOXnrpJW688Ubc3d156qmnnFLGzjj/i/Jjjz3WpePt6kDW6XSsXr2amTNnEhsb\ny5133smoUaNYs2YNa9asAeAf//gH5eXlLF++nMTERCZOnHjRY0X/dPj0YcYGjgUgZXcTdUE1XH72\nDdjalUOu5Luc75gd4Eeqpay3sykGoNbftluP84+JiWHBggUMGzYMPz8/ioqKuP322wHw9/cnKSkJ\ngHfffRez2UxsbCx+fn7cfvvtFBUVAbb9lWfOnEl8fDxJSUnMmzevS9/uz5930N6xfaXJXNYmEnZT\nVRW/p/3IWJFBoDGQcYsrqL/7JEevGX9B2uQTyTy942leuzGZqJ27qZ5+OR5uMhG+L5P3YN8maxOJ\nPiO/Oh8XrQuBxkBUFTKoZoqfZ7tpk0KT2Fu4l6F+OtyqDLybKhPQhOgLJBgIux0qPtTSRFRYCJbh\n1VwR1H4wGOQ+iEHug8gozSC23pfPs523FosQ4hwJBsJuh08fZkygbV2VQ4dAG1vNBM/2gwHAhNAJ\n/FTwE1cHeHPIUtVb2RRCXIQEA2G3Y6XHGDXI1vmferiJRm8To9zdO0w/MWwiqfmp3DHGi5LAKixW\naY8WwtkkGAi7nSg/QbR/NAA/FNYQ3mRE186Y7WbNNYOkoa5o6nR893Ndb2VVCNEBCQbCbplnMony\ns80hOVZfR6zReNH040LGcfj0YRqtZoLPePHJUWkqEsLZJBgIu9SYa6hoqCDcKxxVhSLXOiYEdNxE\nBGB0MTLcdzgHiw+S6OLNjnIJBkI4mwQDYZeTZScZ5jsMjaLh9GlQB9eSFHDxmgHA+NDx7Cvcx+wI\nL04aKnshp0KIi5FgIOySWXauiSgzE5ShdcRepPO4WXxQPAeLD3L7eCN1HiZKGxp7OqtiAOpr216e\nb/Hixfztb38DbGsHtV70rjPq6+uZM2cOPj4+3HnnnV3Ob1fItpfCLplnMon2s3UeHzzRhCWskQjD\npRefiw+K57OjnzHIV4Nbvgfr02tYMs73kscJ0Vpf2/byfF3dBvN8n376KadPn6asrKzdhfQcSWoG\nwi4nyk601AxSi+oINLmj6cQ/f1xQHAeLD6KqKmH1HmzNlZnIouv6w7aX3V3Kw2KxkJOTw4gRI3o8\nEIAEA2Gn7MpshvkOAyC9qp5IrVunjvN398fTxZOcyhziDJ7sr63pyWyKAeiaa64hJSWFFStW4OXl\nRWZmZkuzTF1dHbNmzaKgoABPT0+8vLxYu3YtTz75JOvWrcPT05PExETAtsvYkiVLCA0NJTw8nL/9\n7W8tzUBWq5UHH3yQgIAAhg8fzqZNmy6ap7S0NMaNG4eXlxfz58+noeHCHf3+9a9/ERQURGhoaJtd\n0BYvXszy5cu54YYb8PDw4KqrruKf//xnS37feustx/3y2iHBQNgluyKbCJ8IAE411hPj3blgALba\nwYGiA1wT7kGOq9QMRNf0tW0vzWYzN998M4sWLaK8vJzbb7+dzz77rE36oqIiqqqqKCgo4I033uD3\nv/89lZXnBlCsXbuWRx55hJqaGrZu3domv/fcc08P/jYlGAg7WFUr+VX5DPEegqpCmaGBhMDOB4Pm\nTuQbxrpTZzRR3dTUg7kVPUZRHHPrJkdse/n888/j5uZGQEAAK1eu5KOPPgJos+2lr68vDz/8cIfN\nPrt27aKpqYk//vGPaLVa5s2bx4QJE9qk0ev1/Nd//RdarZZZs2bh4eFBRkZGy+s333wzU6ZMAcDV\n1fWC/PYk6UAW3VZYXYivmy8GnYHycrAG1TPGL6jTx8cFxfHZ0c945EoN2q+MbDtVw03DfHowx6JH\nOHl5676y7WVBQUHLXsnNIiIi2jz29/dv0/7v7u5OTU1NSzk62u2xN0jNQHRbdkU2Ed62f/bsbNCE\n1zPcvQs1g2BbzUBRIKjSk+ST0m8g7NfdbS/Ly8spLy+nsrKSQ4cOAV3b9jIkJIT8/Pw2z+Xk5HS7\nHNC7G99IMBDdllOZQ6RPJADHsy1YPBoJd3Xt9PEj/EeQV5VHrbmWWJ0HqRXSbyC6rjPbXjYLCgoi\nOzu7JU3rbS+rq6uxWq2cPHmS77//HqBl28v8/HzKy8svuu3lZZddhk6n46WXXqKxsZHPP/+cn376\nqVvluNhzPUWCgei21jWDtMIGvBoMaLvwTUan0TEqYBSHTh/iimBPTmqkZiC6rq9se6nX6/n88895\n++238ff35+OPP2bevHkd5rW9cpz/ur3zFLpCtr0U3bbsy2UkBCewfMJybnriDBlj8jg2N75L57h3\n/b1MDp9MnGYJl5XswHTtFeh7YUy16Dx5D/Ztsu2lcLrsynPDSn821RPp0vn+gmbNk88SY7VQ7MqB\nclnOWghnkGAgui2vKo/BXraRFkVKA7E+XQ8GowNGc6TkCK6u4FnqwdfHax2dTSFEJ0gwEN2WX5VP\nmJdtKF2FWz0JQZdek+h8sQGxpJekAxBpNfJjkQQDIZxBgoHollpzLWaLGV+DL1VVYAlqIG5Q12sG\noZ6hmJpMlNaVEudh5KhZOpGFcAYJBqJb8qvzCfUMRVEU8vJUCKlnmFvXawaKojA6cDRHTh/hynAP\nCg1SMxDCGSQYiG5p3UR0rKAJrargpevehPbYQbamomtGGTC5NlIpy1II0eskGIhuyavKI8zTFgwO\nn27Ao67rtYJmowNtnchDIxWUbCM/FklTkRC9TYKB6Jb86nzCvWzrqGRWmPCzdH7m8fmaRxRpNOBX\n6cHWn6WpSIjeJsFAdEt+VX5LzSC73kSItvvBoPWIomEY2VMmwUB0Tl/f9rI/kVVLRbfkV+dzVeRV\nABQ2mZjk3v1g0HpEUaKPkQ2W047Kphjg+vq2l/2J3TWD5ORkYmJiiI6OZtWqVRe8fuzYMaZMmYLB\nYOC5555r81pkZCRxcXEkJiYyceJEe7MielF+9bmaQZmugRHe3e8zUBSF2IBYjpw+wtURRkqMtbL8\ngeiU/rDtZX9hVzCwWCysWLGC5ORk0tPTWbt2LUePHm2Txt/fn5dffpkHH3zwguMVRSElJYW0tDRS\nU1PtyYroZXlVeS2jiWrcTIwJ7H7NAGz9Bukl6Vw22gVrnZZck8kR2RQDWF/c9nLVqlWEh4fj5eVF\nTEwM27dvB2jJV7OUlJQ2+yRERkby7LPPEhcXh6enJ0uWLKG4uJhZs2bh7e3NjBkzqKiocPSvsA27\ngkFqaipRUVFERkai1+uZP38+69evb5MmICCApKQk9Hp9u+eQb4D9T5O1idO1pwnxCMFkgkZfE2OD\n7QwGZ0cUhYeDkmPkh0IZUSQurq9te5mRkcErr7zCnj17qKqqYsuWLS2b21xq9VFFUfj888/ZunUr\nGRkZbNy4kVmzZvHUU09x+vRprFYrL730koN/g23Z1WeQn5/fJrqFh4eze/fuTh+vKArXXnstWq2W\nZcuWsXTpUnuyI3pJcU0xg9wHodfqOZmjwiATQwz2BYPYgFjWZ6xHUSCw2kjKqVp+NXSQg3IsepKS\nkuKQ86jTpnXvOAdse1lRUYHBYMDNzY2VK1fy2muvcd9997XZ9hLg4Ycf5rvvvms3H1qtFpPJxJEj\nR/D3979gV7RLffH9wx/+QEBAAABTp04lKCiI+HjbKsC33HILW7duvejx9rIrGNi7zvaOHTsICQmh\npKSEGTNmEBMTw9SpUy9I9+ijj7bcnzZtGtO6+U8jHKN1f8GhPDM6kw6DVmvXOZubiQBG6DxIqyiz\nO5+id3T3Q9xR+sq2l1FRUbzwwgs8+uijHDlyhJkzZ/Kvf/2rzbkvJijo3Jaxbm5ubR4bDIaW7TE7\nkpKSQoodgdmuYBAWFtampz43N7dLe3g2/5ICAgK45ZZbSE1NvWQwEM7XevbxkdMmPKz21Qqg7Yii\n8f5G3lZzL32QEO3o7raX578GXdv2EmDBggUsWLCA6upqli1bxl/+8hfeffddjEYjdXXnlmdv3jzn\nYrrahH7+F+XHHnusS8fb1WeQlJREZmYm2dnZmM1m1q1bx9y5c9tNe37B6urqqK62bXNYW1vLli1b\nGDt2rD3ZEb0kvzqfUI9QADIqTPjbMeGsWZsRRcPcqTDW0zgAx3ILx+sr214eP36cbdu2YTKZcHV1\nxWAwoD1bY05ISGDz5s2Ul5dTVFTECy+84PDfg73sCgY6nY7Vq1czc+ZMYmNjufPOOxk1ahRr1qxh\nzZo1gC0CDh48mOeff57HH3+cIUOGUFNTQ1FREVOnTiUhIYFJkyZx4403ct111zmkUKJnFdUUEeJp\nq9Xl1DcQrO3+sNLWmpuKxo/RQokrx+vqHXJeMbD1lW0vTSYTDz30EAEBAYSEhFBaWsqTTz4JwMKF\nC4mPjycyMpLrr7+e+fPnX7J5q6Ny9RTZ9lJ02dINS5kQNoH7xt/HyBdOMH6YCx/O7bgttbNe2PUC\nJ8pO8PKs1biuOszqeYHcFx3ogBwLe8h7sG+TbS+F0xTVFhHsEQxAmdbEMC/7m4nANqLoSMkRFAWC\n6438O0+WpRCit0gwEF1WVFNEkNE20qHG1cwIXxeHnHd0gG1fA4AYFyMHqiQYCNFbJBiILiuuKW6p\nGZg8TcQGOaZmEOoZitlipqS2hImBRnI0EgyE6C0SDESXqKpKcW0xQR5B1NSoqL5mRvg7pmbQvOtZ\nekk6V0W5UWMwUWexOOTcQoiLk2AguqS8oRw3nRsGnYETRU0oqoKX3nGL38YOsvUbJIzRQJ4b6bV1\nlz5ICGE3CQaiS4pqznUepxebca1xTK2gWfN+yAEBoM8z8kO+NBUJ0RskGIguad1fcPyMGY8Gx/QX\nNGve9QwgzGzkh3xZsE6I3iDBQHRJUU0RQR62kURZ1SZ8rD1QMzgbDGLdjByulZqBEL1BgoHokqKa\nIoKNtppBXr2ZQI1jawYhHiEtS2RPDjKSq5NgIERvkGAguqS49lwz0ekmE6Gujq0ZKIrSMt/gypEG\nGrQWyhsbHXoNIcSFJBiILmndTHRGMRPh4dhgAOfWKBo7RoFsI4dqpHYg7GM5b4jy+fsaXEpX0/dH\nEgxEl7QeTVTtYiLKx7HNRHCu38DHBwyFRr7LlWAg2ldQUMC8efMIDAxk2LBhvPzyy4Bt2fvbbruN\nhQsX4u3tzdtvv820adP461//yuWXX47RaCQrK4sff/yRCRMm4OPjw8SJE9m5c2fLuadNm8YjjzzS\nJv1AJsFAdEnrZqJ6o5lRgT1TM2juRB5iMbKrSIKBuJDVamXOnDkkJiZSUFDA1q1beeGFF9iyZQsA\nGzZs4Pbbb6eyspK77roLgA8++IDXX3+dmpoajEYjN9xwAytXrqSsrIwHHniAG264gfLy8pZrvP/+\n+y3pL7axzUDguNlC4heheV0iq1XF4m1mTIjjawbN+xqoqsoYo5G9DSUOv4ZwnBQlxSHnmaZO61L6\nn376idLSUh555BEAhg4dym9+8xs++ugjIiIiuOyyy1r2VzEYDCiKwuLFixk1ahQAW7ZsYeTIkS2B\nYv78+bz00kts2LCBRYsWXZC+vc1vBhIJBqLTLFYLpXWlBBoDyS5tgiYFf6N92122J9gjGKtq5XTt\naS4P9WWDSy2qqvb4eu6ie7r6Ie4oOTk5FBQU4Ovr2/KcxWLhyiuvJCIiot1dF1tvYVlQUHDBt/2I\niAgKCgraTT/QDexQJxzqTP0ZfAw+6LV6DheZcalyfK0Azq1RdKTkCFNi9FiaFIrM5h65lui/hgwZ\nwtChQykvL2+5VVVVsXHjRqD9bS9bPxcWFkZOTk6b13NycggLC2s3/UAnwUB0Wuulq4+VmnCvd3x/\nQbPm4aWjRyuoJ43sr5Z+A9HWxIkT8fT05Omnn6a+vh6LxcLhw4fZs2dPh8e0HhE0e/Zsjh8/ztq1\na2lqamLdunUcO3aMG2+8sd30A50EA9FprUcSZVWa8W7qmZoBnOtE9vAA42kj35+SYCDa0mg0bNy4\nkf379zNs2DACAgK47777qKysBC5dM/Dz82Pjxo0899xzDBo0iGeffZaNGzfi5+fXbvqBTvoMRKe1\nXpfoVJ2JQUoP1gwCR/NJ+icARKpGUkuqLnGE+CUKCQnhww8/vOD56dOnX/Dc9u3bL3ju8ssv77Am\n0V76gUxqBqLTWjcTFTWaCXHp4WaiEtuIonhvIxlmqRkI0ZMkGIhOa91MVKqaGOLec81EgcZAFBSK\na4uZGm6k2FCL9RfUfitEb5NgIDqt9YSzSr2ZYd49VzNoGVF0+ggTR+tQqvVkNTT02PWE+KWTYCA6\nrfW6RHVuZkYO6rmaAZxrKoqJAcsJI2mV0lQkRE+RYCA6rbmZSFVVGr1MjA7puZoBnJuJbDCAd7mM\nKBKiJ0kwEJ3W3ExUXN8EDVqGBDp+9nFrrdcoGqYY2VsmwUCIniJDS0WnNFoaqWiowN/Nn+3Z9egq\nXdD2bCxomYWsqiqJPkbWN+X27AVFh35J4+1/qSQYiE45XXuaQe6D0Gq0ZJSYMdT1bBMR2EYU6TQ6\nimqKuDIikDcN9ZitVlwG+IJhfc0vaRbuL5m8q0SntB5JdKLChJe5ZzuPmzU3FY0bo0Vb6srxurpe\nua4QvzR2B4Pk5GRiYmKIjo5m1apVF7x+7NgxpkyZgsFg4LnnnuvSsaLvaD3hLKfGjD89XzMAGBM4\nhkPFh4iOto0o2lch/QZC9AS7goHFYmHFihUkJyeTnp7O2rVrOXr0aJs0/v7+vPzyyzz44INdPlb0\nHa0nnBWYTQTpeqdmEB8Uz4HiA7i4gH+VjCgSoqfYFQxSU1OJiooiMjISvV7P/PnzWb9+fZs0AQEB\nJCUlodfru3ys6Dtar0tUYjUz2K13agbxwbZgABDjYmRfuQQDIXqCXcEgPz+/zeYP4eHh5Ofn9/ix\nove1biaq0JqJ9OqdmsGYwDFklGbQaGlkcrCRn5FgIERPsGs0kT3Dzbpy7KOPPtpyf9q0aUybNq3b\n1xXdU1RbxOTwyQDUGkyM9O2dmoG73p0h3kPIOJPBNSNjeQ4ztRYLxp4e1ypEP5OSkkJKSkq3j7cr\nGISFhZGbe27sd25ubrtbzdl7bOtgIJyjuKaYII8grKqKyWgmNrh3ggFAXFAcB4oOMCN+DMpGdw7X\n1DLJ26vXri9Ef3D+F+XHHnusS8fb1UyUlJREZmYm2dnZmM1m1q1b17IB9fnOH6vclWOF8xXVFBHi\nEcKZxkao1zIkuPe+mTd3IgcGgkueke2nanrt2kL8UthVM9DpdKxevZqZM2disVhYsmQJo0aNYs2a\nNQAsW7aMoqIiJkyYQFVVFRqNhhdffJH09HQ8PDzaPVb0Tc2L1GVUmFHKXPHqxS/m8cHxvJz6MgAR\njR58V1CRhLWYAAAgAElEQVTDf47tvesL8UugqH18eqGiKDID0skamhrwfsqbhr828NaRMlak5FG3\nIr7Xrp9bmcuE1yZQ9GARv36mgu9G/kzu3HG9dn0h+qOufnbKDGRxScU1xQQZg1AUhcxyMx6m3hlJ\n1CzcKxyzxUxxTTHTIzwoNNRgkS8IQjiUBANxSa33MciqNuFr7b3OY7B9w4kPjudg8UEui9ehlLvI\nshRCOJgEA3FJrdclym8wE6Tp3ZoBQFxgHAeKDxAVBWqmJztKpBNZCEeSYCAuqaimiGCjLRictpgI\nM/RuzQDOzUTWaiGkxoOtOdW9ngchBjIJBuKSWq9LVKYxE+nZ+zWD+KB4DhTZlqUYY/BgX7XUDIRw\nJAkG4pKaJ5wBVLuYiO6l2cetjQ4cTWZZJqYmE1eFepCtr5FRZkI4kAQDcUlFtbaagUVVMbs1EhPY\n+8HAoDMw3Hc46SXpXDXWFdWk4ZTJ1Ov5EGKgkmAgLqm5mei02YxSoyM8xDn/NuNCxrG3cC9jx4Il\nw4OfKqTfQAhHkWAgLql5xdK8BjPWEleCgpyTj6TQJPYW7MXDA/xKPfgmS/oNhHAUCQbikpr3Mjh+\nxoS+0gXX3u8/BmB8yHj2FO4BYLSrJ7vKJBgI4SgSDMRF1ZhrUFHxcPEg44wJY4OTIgGQEJzAkdNH\nMFvMXBXqwUlFmomEcBQJBuKimvsLFEXh52ozPpbe7zxuZnQxMsx3GIdPH+b6eAMNWDltNjstP0IM\nJBIMxEU1r0sEkFdvIlBxXs0AYHzoePYW7CUhQUHN8OSHM1VOzY8QA4UEA3FRrSecFTeZCXVWh8FZ\nSSFJ7CnYg5sbDCrxZNNJaSoSwhEkGIiLah0MzmAiwsN5zURwtmZQuBeAOBcvdlZIzUAIR5BgIC6q\n9SJ1VS5monycWzNICE4gvSQdU5OJGeGenNRXy0xkIRxAgoG4qOY5BmarFbNLE9GBeqfmx13vznC/\n4Rw+fZjpia6otVpO1tc7NU9CDAQSDMRFNTcTFZnNaKtcCA1WnJ0lkkKT+KngJ8aOBWu6F9+XSr+B\nEPaSYCAuqrmZKN9kglIXgoOdnSOYHDaZnXk7cXGB0EpPNv8s/QZC2EuCgbio5l3OsmpNWIpc8fd3\ndo5gyuAp7MzdCcBELy9+qpaagRD2kmAgOqSqass8g6NnTLjXGND0gf+Y0QGjKaoporSulLkxHuQb\najBbrc7OlhD9Wh94a4u+qqy+DHe9O256N05UNuBjdu5IomZajZaJYRPZlbeLa6booMCNAzWyTpEQ\n9pBgIDqUX51PqGcoAFl1JoKcPPu4tSnhtqai8HAw/OzFl9JvIIRdJBiIDhVUFxDmFQZAocVEhJvB\nyTk6Z8rgKezK3wXAaNWbr/MrnZwjIfo3CQaiQ/lV+YR52oLBGU0DUd59p2YwOXwyP+X/hMVqYWaI\nN4eVSpl8JoQdJBiIDjU3E5msVup1TYwMcO5SFK35ufkR6hnK4dOHuXG8AbMZshoanJ0tIfotCQai\nQ801g3yTCZdqFwaHOX/CWWtTBk9hZ95OEhMV1IPebCmUpiIhukuCgehQQY2tz+BUQwNKiYGwMGfn\nqK3Lwi9jR+4O9HqIrPFmQ5YEAyG6y+5gkJycTExMDNHR0axatardNPfffz/R0dHEx8eTlpbW8nxk\nZCRxcXEkJiYyceJEe7MiHCy/ytZMlGsy0Zjv2ueCwVWRV/Fd9neoqspVft781CDBQIjusisYWCwW\nVqxYQXJyMunp6axdu5ajR4+2SbN582ZOnDhBZmYmr776KsuXL295TVEUUlJSSEtLIzU11Z6siB6Q\nX21rJsqsMqGUuOLt7ewctRXtF02jtZHsimxuH2+kXGuiVHY+E6Jb7AoGqampREVFERkZiV6vZ/78\n+axfv75Nmg0bNrBo0SIAJk2aREVFBcXFxS2vywiQvslsMVNeX06gMZDj5SZ8mwwofavLAEVRmBY5\njZTsFKZepoF0L7adlvkGQnSHXcEgPz+fwYMHtzwODw8nPz+/02kUReHaa68lKSmJ1157zZ6sCAcr\nrC4k0BiIVqMlq7ahT004a21axDRSclIwGiGszJtPMiqcnSUh+iWdPQcrnfyq2NG3/x9++IHQ0FBK\nSkqYMWMGMTExTJ069YJ0jz76aMv9adOmMW3atO5kV3RB6wlnBU0m4gx9NBhETuOJH54A4GofX5Jr\nM52cIyGcIyUlhZSUlG4fb1cwCAsLIzc3t+Vxbm4u4eHhF02Tl5dH2NmeyNBQ21IHAQEB3HLLLaSm\npl4yGIje0dxfoKoqJZoGojz7zuzj1kb4j8BsMZNdkc2vxg3hfXM9pWYzg1z6zpwIIXrD+V+UH3vs\nsS4db1czUVJSEpmZmWRnZ2M2m1m3bh1z585tk2bu3Lm8++67AOzatQsfHx+CgoKoq6uj+uzSw7W1\ntWzZsoWxY8fakx3hQM0jicqamlCtMDzQru8NPUZRFK6KuMrWbzBFAwd92FQoTUVCdJVd73CdTsfq\n1auZOXMmFouFJUuWMGrUKNasWQPAsmXLmD17Nps3byYqKgqj0chbb70FQFFREbfeeisATU1N3HXX\nXVx33XV2Fkc4SnPNIKu+HrdyN8L72ISz1po7kRcnLCayzId1meUsigh0draE6FcUtY8P51EURUYc\nOcGvP/81M4bNwC10Fss+Os3Xk8fQV6eCHCs9xnXvXUfOyhx+92wtH40+TPnsyc7OlhBO1dXPTpmB\nLNp1qvIUQ7yH8HN9PeZstz434ay1kf4jURSFY6XHuGuKkRqLhaz6emdnS4h+RYKBaFdOZQ4RPhEc\nr2nAlGMgJMTZOeqYoijMippF8olkJk9WUNJ8+Sy73NnZEqJfkWAgLtBoaaSwupBwr3COVTYQaOkb\n211ezPVR15N8MhmdDuItvnx8UoKBEF3Rx9/iwhnyq/MJ8gjCRetCVkM9ka5uzs7SJV0z9Bp+zP2R\nusY6fhXtywFdOU2yL7IQnSbBQFwgpyKHCO8IGq1WSjER49M35xi05uXqxfiQ8aRkp/CrGQYsBQa+\nL5OlKYToLAkG4gLZFdlE+kSS1dCAscGVYYP7x7/J9VHXk3wimaAgCDzpz2uHzzg7S0L0G/3jXS56\nVU6lrWaQUVeHe6k7kZHOzlHnNAcDgFne/mypkWAgRGdJMBAXyKmwjSQ6VleHeqr/BIP4oHhqzDUc\nP3Ocey73pMrSxIm6OmdnS4h+QYKBuEDrmkFdhlu/CQaKonBzzM18fvRzpkxW0O31460MqR0I0RkS\nDMQFTpafZJjvMI7W1lOf4d6n5xicb96oeXx+9HO0Wpjm4s/HpyQYCNEZEgxEGw1NDRRWFzLUdyhH\na+qI0Lij1To7V513ZcSV/Fz+M6cqT/H7KX787FpNWWOjs7MlRJ8nwUC08XP5z0T4RFBtUWmwWBkd\n0r+WgtZr9cwdOZf/O/p/XH+VFt1+X147VursbAnR50kwEG0cP3OcEf4jOFRbS0CNkZEj+u5qpR25\nddStfH7sc3Q6uKIxkDezTjs7S0L0eRIMRBuZZzKJ9otmf00NhgIPRoxwdo667tph13Kg6ADFNcX8\nYYI/J/VVnDabnZ0tIfo0CQaijeaawYGaGhqPGftlMDDoDNww4gY+Tf+U2ddo0e7x5/XjJc7OlhB9\nmgQD0UZmWSYj/Eewv6aGM7s9GDmylzOQng5//zvMnQtXXw233w5PPQV79kAX1mZfGLeQdw68g4sL\nXE0gr52UpiIhLkaCgWgj40wGkb5RHK2tQz3pQUBAL124rAzuuguuuQbq6mDxYnjkEbjlFiguhvnz\nYdQo+J//gYaGS55uxrAZ5FXlcbTkKH+d4ccpXS15DaaeL4cQ/ZQEA9HidO1pGpoaqNX54a+6EjdC\ni9Ib/ccnT0JSEgwaBD//DM88A7feCtOnw69+Bc8/D5mZ8NprsHEjDB9uCwpNTR2eUqvR8uu4X/Pu\ngXe5YpIGz7QAHk8t6oXCCNE/STAQLQ4UHSAhOIHdVVUElnmSkNALF83PtzUH/b//By++CO7u7adT\nFJg6FTZtgi+/hE8+gYQE+OabDk99d/zdvHfwPayqhYW+IaytLMQqW6gK0S4JBqLF/qL9JAQlsKOq\nCv0xbxITe/iCZrOtGei3v7XdOmvcONi6FR5/HJYvhzlzbDWH84wJHEOQRxDbsrbxnzd7UnNGy1dF\nFQ4sgBADhwQD0WJ/8X4SghP4obKSsu+8e75m8I9/QHAwPPRQ149VFLj5ZjhyxFZjmDLFVruoaruH\nwT0J9/B62uuEhSmMPBHCP/cWOijzQgwsEgxEi/1F+xk8KI4z5kZyfzAyZkwPXuzgQXj1VdvNno4J\nV1dbEDh8GEpKICYG3n4bzu5ytjBuIVtObqGwupC/XxbEHu0ZSmTOgRAXkGAgAKg115JVnsVpXRCx\neBE9XMHVtYcupqrwwAO2IaTBwY45Z3AwvPUWrF8Pa9bA5MmwaxfeBm/mj57Pq3tf5fbr9bgfGMSj\nO4sdc00hBhAJBgKAH079wISwCSSXVxKQ5cfUqT14sS1bbB3Hy5Y5/twTJsCOHfCHP8C8eXDnnTzg\nfT1r9q7BojayLCCMtyvzZH9kIc4jwUAAsC1rG1dFXs2msjIqNg/immt68GJPPGGbQ6DT9cz5NRpY\nuBAyMmD8eKJvu4/3P7Hw1Zf/4u93emHOM/C/R2XxOiFak2AgANievZ2AkKsJ1buwd7OBq6/uoQv9\n+CPk5sKdd/bQBVrx8LD1J5w4QfgVs7l84V8x3jmb32Sd4fHjuagyzFSIFhIMBBUNFRwtPcphNZCk\nhgCio8HPr4cu9tRT8B//0XO1gvZ4ehL9zJvc+MQYDlw2nBc2/gm3mhNsWv2mrdNZCCHBQMCGjA1c\nMXQmn5SeQf91CLNn99CFsrJsNYPFi3voAh1TFIU/XfMwy4P34HLkAFekB/A3NyNqdDTcdBN8/jnU\n1/d6voToK+wOBsnJycTExBAdHc2qVavaTXP//fcTHR1NfHw8aWlpXTpW9Lz3Dr5HwLCFXOvjy5dv\nu7JgQQ9d6PXXbW35bm49dIGLmzdqHtWmajaf+IrHfz+Ng25D+XTHEdt8hdWrISjINgnunXfgjGyX\nKX5hVDs0NTWpw4cPV7OyslSz2azGx8er6enpbdJs2rRJnTVrlqqqqrpr1y510qRJnT5WtTXq2pNF\ncQkHiw6qgS9Eq4E//KD+c22VevXV3T9XU22TWrGzQi3dVKqWbixVq/ZWqY2VjbYXzWZVDQlR1SNH\nHJPxbvri6Bfq2P8eq1qsFvX6Z4vUoE/2qlar1fZiaamqvvOOqt5yi6p6eqrquHGq+uCDqrp5s6pW\nVTk130J0VVc/O+1quE1NTSUqKorIyEgA5s+fz/r16xk1alRLmg0bNrBo0SIAJk2aREVFBUVFRWRl\nZV3yWNGzLFYLf0i+n7DEVUzyDuLVBZ68917XzqFaVEo+K6FgTQFVO6twj3HHJci2VaapwET9yXrc\nhrvhHVaGv+9MfIfHOLVtcu7IuTy14yk+PPQh7y6+i5D1ufwrrYQ/jwsEf3+4+27bzWyG1FTYtg1W\nrbItpR0TYxu6OnGi7eeoUfSrDaKFuAi7gkF+fj6DBw9ueRweHs7u3bsvmSY/P5+CgoJLHtvMVHje\n0sPtTFhV2pvF2t7E1k4858hztXs+R56rvXSdOFdeTR5/+vc/OeZ/CwHKEPb9fii33gpXXdXOsR2o\n3FVJ5u8z0bhoCPtjGGM3jUVraPvhaDVbqdlfQ8U9L5FjvpP0wB34zvBl0NxB+M32w2VQ7+6xrCgK\nz854lvmfzeem393Eby1RPJJ7lOVx/rjrWuXdxQWuuMJ2+6//svUn7NsHP/0E336L+v89gVp4GjU6\nBnVELNaoGNThI1Ejo1ADQ1Bd3VCtKqiAFdvIJSugcu75VvfbTduS6XM/W/7+Sqvb2XK1TtduWnvP\n0eYXeYnHtPO/2sVzdOt/3RHnGAA0rl3/ymVXMGj3F90O1c4hfFtGfnfumu2e6sJ8KGo7T3ciG4ra\nuTK1n4/una/dc7XznNLef616fpoLD+3odzY74le4ROhIzY9j0W+0PPDAJbNqu6SqkvdCHqdWnSLq\nuSgCfxXY4f+CxkWDV6wGr9ynGZKTg7nJSNnmMkrXl5L5h0zchrvhO90Xn+k+eE3wQu+v71wmOsna\nZKWpvOncraKJqPIolmcs58PlH3K/z7UY31Z476V9XOHnjqXOgrXOiqX+7M+zj60mK2qjito4Dmtj\nAliWghY0x0DJsKLQhKI2orEcR7Ecsq2wodei6HWg14FOi6LTgl579r7Odl+jQdFpQHv2p6KAptUH\ns3rud97yh20OJM3PWa1gVW0zu60q6nmPm++rLc9Zzx7X6jn1XLqWc7d63JIG9VzAUq2oqnr2JbXl\nfW4FrIqCFQVVARXFdlNAVWxRRlUUW3HO/lQVDRbNuQ+wdv+bLvleOu91tZ2XzjvHBWds73OjHyoI\n7/ose7uCQVhYGLm5uS2Pc3NzCQ8Pv2iavLw8wsPDaWxsvOSxzf73tk9a7kcnJDIycTzQKhipKuf/\niTWo7X94ct7fWlXRtPkgO3euluPPnr8lmaK0c822X8DOPae2e67m0yhnz3X+ke2dC1Q0F5Sq7fkV\n2uZLOfuJcv65POqszPzoAOPfV1GGVhJ790w0mkt/S7fUWsj4TQZ1x+sYt2scbpGd6AzevBkuuwx8\nfXEBghcFE7woGGujlerUasq3lnPqqVPUpNWg9dTiMdYD1yGuuIa6og/So3XXonHToHHVoDapWE22\nD2drg5WmirMf8mVNNJY10lR+9meZ7XlLvQWdtw6drw69rx6dr+3+bI/ZvJX9FomXJXLl5GBeacpl\nTGwwI8PcbNdz15z76aZFcVFQ9AoavQZFb7vf4ZchVbUNWT11ynbLy4bSUlundOtbVZWtxtF8M5ls\nNRIXl+Z/jrN/xFY/VRUaG8/dFAX0etvNxeXC+61/Nt9aP251X9XraVAsVKr1nGmso7C2hnxzPT+7\n6sk3uHDa3ZUyLzcqPdyo9fCjweCLycWTJhcPGl2NNBmMNLoY0DU2ojc3orNY0Fms6KxW9FYLeouK\nXgW9FVxQcEGDi6JBj4KrYsHPqqLTatFqNSgaLRqtBo1Gi6Jo0Ok0aBQNWhS0Gg1axfb712rOvtcV\nBY0GNMrZUTFnY6mGs+9V5ex9ANWW7lyAOPfrVVBQVLXN77299xOtXtF05ltmqz9jT8lM20tm2j4A\nvFz0cLRrxyuqHV/bm5qaGDlyJFu3biU0NJSJEyeydu3aNu3+mzdvZvXq1WzevJldu3axcuVKdu3a\n1aljwfZhaW/NQnRMzT5FVvyLnHa/gbh/T8Y9qoP9BIC6E3UcueUIHuM9GPE/I9C6dbK9/M474dpr\nYenSi+dFVWnIaaD2cC2mXBOmfBONxY1YG6wtN0WnoLgqaFw1aAwadD469H56dH5nP/D9zn3g6/30\naD20KJr234Wv73ud//7pv9n1m11c+0IJxwYXU3h7Itpe2dGnHVarLSCYzee2+Dz/J5z7wNfru9Vn\nUWuu5VjpMdJLjvJT1lF+OpVBZmM55QY9uA5G1Q1HdQlD8fRHdTfg0mDF2Kjgh54QnTtDDF4M8zQy\nxMeFIT46At11+OhsNy+dznm/P9FGVz877QoGAF999RUrV67EYrGwZMkSHnroIdasWQPAsrNrz6xY\nsYLk5GSMRiNvvfUW48aN6/BYewskuuG77yi4+Q2yXe9jzPo4vCZ5XZDk9LrTZK7IJPKxSEKXh3a6\niZD6etsicidO0Ht7aHaOqqrMWTuHxOBE/mPCPwj+cD9zQvxYNzfC2VlzmIamBvYX7WdPwR6+O7GH\nH/P2U6x3QWe4jEbdKFTvMPAz4lGvJcLixSgPTxKC3BgfYmCE0Y3Brq7oNDIdqT/q9WDQ0yQY9JK7\n76a0aQIZ34wj/E/hhNwXgt5fT82+GnKezKFmfw2j143Gc7xn1877xRfw0ku2UTl9UGF1IeNeHcd7\nt7xHU/kVzM7dywfRo1kw2sfZWeuWhqYGdubuZFvWdr7OSOFAxc/o3a/DrJ2ExTcCAg2E1HuQ6OrN\ntMEeXBluZLTRiLuMihpwJBiI7jl2DK66ivrtx8j6ZyFnNp3BWm/FEGkgeEkw4X8M73yzUGu//rWt\nv+B3v3N8nh1ke9Z2Fny2gN2/2c0zGz1YY8zgwOXjiQ3sqTW8Hev4meN8mfElGzI2sTs/DTe3G6hj\nOpaQCDT+ekaZfZgR7M1NUd4keXngJh/8vwgSDET33XCDbQbub36DtckKVttooG4zmWxNROnpEBLi\nuHz2gH/t/Bdv73+b7+/5nhveqOSQfwlZcxPwd+/FNZQ6yWK18MOpH9iQsYEvjn5JaZ0FnWYJFe4T\nUEa6Em724IYgP+4a4ctEL09p5vmFkmAgum/jRttCcj/84JjzbdpkO9+//+2Y8/UgVVVZmbySfUX7\n2HhnMvFv5VLnYeLEnWPwMjj/m7SqqqTmp/LR4Y/46PDHaBrDaDQvpswzDs0YlTF4szQqkPmD/fHV\nO3Z4ruifJBiI7jObISzMNrHq7Mxwu9x7L8TFwcqV9p+rF1hVK4u/WExOZQ7rbt3A+A/yaXRrJH3e\nGAZ5OicgHCo+xNrDa/ng4Ec01BtRG39Lmfs4NPFNjFG8WTYygNtDBuEnAUCcR4KBsM/y5TBkSPc2\nqW+tsdHWNLRvn+18/YRVtbJi8wp25e1i7a1fMPuLWooNdfwwbQwJg3unD+FE2Qk+OvwRHxz8iOKq\nBnSW31FumIQSb2W04sV9IwK5I3QQ/hIAxEVIMBD2SUmBBx+EPXvsO88339h2M+tgiZG+TFVVnvnx\nGZ7f9TxvzX2HZ3aMIMWzkH+6x/DwLN8euWZuZS4fH/mYDw9+xIkzhRiU33FGfzlKnIZRiifLRgRy\nZ+ggBrn07vIdov+SYCDs09ho6/Q9eNDWZNRdv/0tDBtm22msn9qWtY3FXyzmuuHXEW78K49XFTI0\nbxCfzRlKXKT938qLaor4NP1TPjjwEYdOZ2F0WcYZzRUoo/VE48nS6ADuGhxAoAQA0Q0SDIT97roL\nrryy+xvWWywQGmrbyGb4cMfmrZdVm6p5ZNsjvH/ofe6Kv5/vS+Zy0LOOhOwwnr4slOlJLp1eZsCq\nWkkrTGPT8c18enATGfVlGLR3U+M6GWWEKyObvLg3KoBfDx1EkAQAYScJBsJ+H30E779vG13UHd99\nZ+s0brWRUX+XVZ7Fqh2r+PjIx4wMm0W+9lbyfAbh9rM3E+oDmT3Em6uj3BgWocHHBxRF5VRFAXuz\njvPDz3v5Pu8n0q25WA2jabJegRI6BBd3FyZofPl1jB+3hcooIOFYEgyE/SoqbJ2+hYVgNHb9+D/8\nwdbU9Ne/Oj5vTlZjriH5RDJfn/ialLzdZCnBaP2vpsk4HKurD9RXQmM1UAO4gsYbxc0PRavDr97A\nWL0f10V4MnuwN2ONxs4v6yFEF0kwEI4xfTrcf79tf+CusFph8GDYutW2GcwA12hpJKcyh2pTNaWm\nWqpwoVHjjpuLD34GDzy1WgYbDPjpdPLBL3pVVz87+970StE3zJ0LGzZ0PRjs2gW+vr+IQACg1+qJ\n8otydjaEsJvMUxftmzPH1mdgsXTtuM8+g3nzeiZPQogeI8FAtG/YMAgM7No8AasVPvkEbrut5/Il\nhOgREgxEx266Cdav73z6nTvBywvGju25PAkheoQEA9GxrgaDtWthwYKey48QosfIaCLRseaRQdu2\nwciRF0/b1GSbsbxjB0RJh6oQztbVz06pGYiOaTS2UUVffHHptNu3Q0SEBAIh+ikJBuLi7rjD1vxz\nKW+8AQsX9nx+hBA9QpqJxMVZrba9DTZutO1N0J6SEoiOhuxs8OmfewcLMdBIM5FwLI3Gto/xu+92\nnObNN+HmmyUQCNGPSc1AXNrJkzBpEvz8s23oaGv19bY5CV9/3XHNQQjR66RmIBxv+HC49lp49dUL\nX3v1VVugkEAgRL8mNQPROQcOwMyZsH+/bUVSgNxcGDfONvRUJpoJ0adIzUD0jPh4+M1v4J57wGyG\nmhrbJjgrV0ogEGIAkJqB6DyzGX71K/jpJ9v9m26CV14BrdbZORNCnEf2MxA9S1XhyBFwcYERI5yd\nGyFEByQYCCGE6L0+g7KyMmbMmMGIESO47rrrqKioaDddcnIyMTExREdHs2rVqpbnH330UcLDw0lM\nTCQxMZHk5OTuZkUIIYSduh0MnnrqKWbMmMHx48eZPn06Tz311AVpLBYLK1asIDk5mfT0dNauXcvR\no0cBW9R64IEHSEtLIy0tjeuvv777pejHUlJSnJ2FHjWQyzeQywZSvl+abgeDDRs2sGjRIgAWLVrE\nF+0sZpaamkpUVBSRkZHo9Xrmz5/P+lZLIkvzz8D/hxzI5RvIZQMp3y9Nt4NBcXExQUFBAAQFBVFc\nXHxBmvz8fAYPHtzyODw8nPz8/JbHL7/8MvHx8SxZsqTDZiYhhBA976LBYMaMGYwdO/aC24YNG9qk\nUxQFRVEuOL6955otX76crKws9u/fT0hICH/+85+7WQQhhBB2U7tp5MiRamFhoaqqqlpQUKCOHDny\ngjQ7d+5UZ86c2fL4iSeeUJ966qkL0mVlZaljxoxp9zqA3OQmN7nJrRu3rtDRTXPnzuWdd97hL3/5\nC++88w4333zzBWmSkpLIzMwkOzub0NBQ1q1bx9qza+MXFhYSEhICwP/93/8xtoNZrKr0KwghRI/r\n9jyDsrIy7rjjDk6dOkVkZCQff/wxPj4+FBQUsHTpUjZt2gTAV199xcqVK7FYLCxZsoSHHnoIgLvv\nvpv9+/ejKApDhw5lzZo1LX0QQgghelefn3QmhBCi5/XZheo6mqzWX917770EBQW1aQ7r7MS9/iA3\nN5err76a0aNHM2bMGF566SVg4JSxoaGBSZMmkZCQQGxsbEsNd6CUD2zzghITE5kzZw4wsMoWGRlJ\nXBLULVEAAAPiSURBVFwciYmJTJw4ERhY5auoqOC2225j1KhRxMbGsnv37i6Xr08Gg4tNVuuv7rnn\nngtmWXdm4l5/odfref755zly5Ai7du3ilVde4ejRowOmjAaDge3bt7N//34OHjzI9u3b+eGHHwZM\n+QBefPFFYmNjW0YBDqSyKYpCSkoKaWlppKamAgOrfH/84x+ZPXs2R48e5eDBg8TExHS9fF3qbu4l\nP/74Y5tRSE8++aT65JNPOjFHjnH+qKmRI0eqRUVFqqqqamFhYbsjsvqrm266Sf3mm28GZBlra2vV\npKQk9fDhwwOmfLm5uer06dPVbdu2qTfeeKOqqgPr/zMyMlItLS1t89xAKV9FRYU6dOjQC57vavn6\nZM3gUpPVBorOTNzrj7Kzs0lLS2PSpEkDqoxWq5WEhASCgoJamsQGSvn+9Kc/8cwzz6DRnPtIGChl\nA1vN4NprryUpKYnXXnsNGDjly8rKIiAggHvuuYdx48axdOlSamtru1y+PhkMLjZZbaDqaOJef1NT\nU8O8efN48cUX8fT0bPNafy+jRqNh//795OXl8f3337N9+/Y2r/fX8m3cuJHAwEASExM7HMrdX8vW\nbMeOHaSlpfHVV1/xyiuv8O9//7vN6/25fE1NTezbt4/f/e537Nu3D6PReEGTUGfK1yeDQVhYGLm5\nuS2Pc3NzCQ8Pd2KOekZQUBBFRUWAbd5FYGCgk3Nkn8bGRubNm8fChQtb5p0MtDICeHt7c8MNN7B3\n794BUb4ff/yRDRs2MHToUBYsWMC2bdtYuHDhgChbs+Y5TQEBAdxyyy2kpqYOmPKFh4cTHh7OhAkT\nALjtttvYt28fwcHBXSpfnwwGrSermc1m1q1bx9y5c52dLYdrnrgHdDhxr79QVZUlS5YQGxvLypUr\nW54fKGUsLS1tGY1RX1/PN998Q2Ji4oAo3xNPPEFubi5ZWVl89NFHXHPNNbz33nsDomwAdXV1VFdX\nA1BbW8uWLVsYO3bsgClfcHAwgwcP5vjx4wB8++23jB49mjlz5nStfD3Qn+EQmzdvVkeMGKEOHz5c\n/f/bt2NTCYEwisJjYBGCqZHoP4IdiKGBmRUZWIRtmAo2IBZgB6Id3Be9zXcXdhc5XwVzkzkwMH3f\nf/s4b+u6TlEUKQxDxXGscRx1HIeqqlKSJKrrWud5fvuYL1uWRUEQyMzkvZf3XtM03Wbjtm0qikJm\npizLNAyDJN1m3795ntU0jaT7bNv3XWYmM1Oapo/75C77JGldV5VlqTzP1batrut6eh+fzgAAv/lM\nBAD4LGIAACAGAABiAABwxAAA4IgBAMARAwCAIwYAAOfcH3JIdwU7qxMUAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 23 }, { "cell_type": "code", "collapsed": false, "input": [ "# For SPM temporal derivative hrf_t0 + -(hrft0 - hrft1)\n", "plot_at_index(t1_i)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAEACAYAAABRQBpkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n", "text": [ "" ] } ], "prompt_number": 24 }, { "cell_type": "code", "collapsed": false, "input": [ "plot_at_index(tm1_i)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAEACAYAAABRQBpkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 25 }, { "cell_type": "code", "collapsed": false, "input": [ "plot_at_index(t2_i)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAEACAYAAABRQBpkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nDAMiIgLDgIiIwDAgIiIA/wG5B0LoixdiXwAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 26 }, { "cell_type": "code", "collapsed": false, "input": [ "# Parameter for the first (HRF) regressor\n", "plt.plot(time_pm15s, B[0,:])\n", "# Parameter for the second (temporal derivative) regressor\n", "plt.plot(time_pm15s, B[1,:])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 27, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAEACAYAAABfxaZOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n", "text": [ "" ] } ], "prompt_number": 27 }, { "cell_type": "markdown", "metadata": {}, "source": [ "How about orthogonality?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "canonical_hrf.dot(canonical_dhrf)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 28, "text": [ "0.099261698796546796" ] } ], "prompt_number": 28 }, { "cell_type": "code", "collapsed": false, "input": [ "def cos_angle(v1, v2):\n", " \"\"\" Cosine of angle between vectors \n", " \n", " 0 means orthogonal, 1 means co-linear\n", " \"\"\"\n", " len_v1 = np.sqrt(v1.dot(v1))\n", " len_v2 = np.sqrt(v2.dot(v2))\n", " return v1.dot(v2) / (len_v1 * len_v2)\n", "cos_angle(canonical_hrf, canonical_dhrf)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 29, "text": [ "0.16767552736516803" ] } ], "prompt_number": 29 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Not quite. But now let's do some convolution." ] }, { "cell_type": "code", "collapsed": false, "input": [ "neural_signal = np.zeros_like(time_60s)\n", "neural_signal[time_60s < 10] = 1\n", "plt.plot(time_60s, neural_signal)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 30, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAXUAAAEACAYAAABMEua6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngEOIOgA4hKgDgEOIOgA4hKgDgEP+D6gJ5Qk2bbT6AAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 30 }, { "cell_type": "code", "collapsed": false, "input": [ "n_60s = len(time_60s)\n", "hemo_regressor_hrf = np.convolve(canonical_hrf, neural_signal)[:n_60s]\n", "hemo_regressor_dhrf = np.convolve(canonical_dhrf, neural_signal)[:n_60s]\n", "len(hemo_regressor_hrf)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 31, "text": [ "600" ] } ], "prompt_number": 31 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(time_60s, hemo_regressor_hrf)\n", "plt.plot(time_60s, hemo_regressor_dhrf)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 32, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAXMAAAEACAYAAABBDJb9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQGEuImIDCnMRERv4fxnrGQKkHB3yAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 32 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Are the regressors orthogonal?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "np.dot(hemo_regressor_hrf, hemo_regressor_dhrf)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 33, "text": [ "191.58719003912032" ] } ], "prompt_number": 33 }, { "cell_type": "code", "collapsed": false, "input": [ "cos_angle(hemo_regressor_hrf, hemo_regressor_dhrf)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 34, "text": [ "0.09848538644886784" ] } ], "prompt_number": 34 }, { "cell_type": "markdown", "metadata": {}, "source": [ "How about longer block?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "neural_signal[time_60s < 30] = 1\n", "hemo_regressor_hrf = np.convolve(canonical_hrf, neural_signal)[:n_60s]\n", "hemo_regressor_dhrf = np.convolve(canonical_dhrf, neural_signal)[:n_60s]\n", "plt.plot(time_60s, hemo_regressor_hrf)\n", "plt.plot(time_60s, hemo_regressor_dhrf)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 35, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAXMAAAEACAYAAABBDJb9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n", "text": [ "" ] } ], "prompt_number": 35 }, { "cell_type": "code", "collapsed": false, "input": [ "cos_angle(hemo_regressor_hrf, hemo_regressor_dhrf)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 36, "text": [ "0.052984565515914336" ] } ], "prompt_number": 36 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Shorter?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "neural_signal[:] = 0\n", "neural_signal[time_60s < 1] = 1\n", "hemo_regressor_hrf = np.convolve(canonical_hrf, neural_signal)[:n_60s]\n", "hemo_regressor_dhrf = np.convolve(canonical_dhrf, neural_signal)[:n_60s]\n", "plt.plot(time_60s, hemo_regressor_hrf)\n", "plt.plot(time_60s, hemo_regressor_dhrf)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 37, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAEACAYAAABfxaZOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xl8VPW9//HXhATJAoFIEiBJCbJl3yBEqkAQEQVBrLjV\nhSI/S1VEvPdx9dprW7h1Q+9V8WJVvD+t1WpUbDXFEAvKUAUxCEG2QNgCkwTCGoWwZDv3j9NEQkJI\nMltm5v18POaRzMyZ7/dzfMh7vvmec77HYhiGgYiI+AQ/dxcgIiKuo9AXEfEhCn0RER+i0BcR8SEK\nfRERH6LQFxHxIXaFvs1mY+zYsSQmJpKUlMRLL73UbBur1UpoaCjp6emkp6fzxBNP2NOliIjYwd+e\nDwcEBPDCCy+QlpbGyZMnGTZsGOPHjyc+Pr7JdmPGjCE3N9euQkVExH52jfT79OlDWloaACEhIcTH\nx1NeXt5sO13/JSLSOThsTr+kpITCwkKysrKavG6xWFizZg2pqalMnDiRbdu2OapLERFpJ7umdxqc\nPHmSadOmsXDhQkJCQpq8l5GRgc1mIygoiGXLljF16lSKi4sd0a2IiLSTxd61d2pqarj++uu57rrr\nmDt37kW3HzBgAOvXrycsLKxpIRaLPWWIiPik9ka4XdM7hmEwc+ZMEhISLhj4FRUVjUUVFBRgGEaz\nwD+3PW98/O53v3N7Ddo/7Z/2z/seHWHX9M7q1at55513SElJIT09HYCnnnqK/fv3AzBr1iyWLFnC\nK6+8gr+/P0FBQeTk5NjTpYiI2MGu0L/yyiupr69vdZsHHniABx54wJ5uRETEQXRFrgtkZ2e7uwSn\n0v55Nu2fb7H7QK6jWCyWDs9RiYj4oo7kpkb6IiI+RKEvIuJDFPoiIj5EoS8i4kMU+iIiPkShLyLi\nQxT6IiI+RKEvIuJDFPoiIj5EoS8i4kMU+iIiPkShLyLiQxT6IiI+RKEvIuJDFPoiIj5EoS8i4kMU\n+iIiPkShLyLiQxT6IiI+RKEvIuJDFPoiIj5EoS8i4kMU+iIiPsSnQ7+sDHbtcncVIiKu47Oh/+GH\nkJoKV14Jv/2tu6sREXENi2EYhruLALBYLLiqlIoKSEyEFSsgOhoyM+HVV2HCBJd0LyLiEB3JTbtG\n+jabjbFjx5KYmEhSUhIvvfRSi9vNmTOHwYMHk5qaSmFhoT1dOsSLL8LPfw5padC7NyxcCI88Ap3j\n609ExHnsCv2AgABeeOEFtm7dytq1a3n55ZcpKipqsk1eXh67du1i586dLF68mPvuu8+ugu1VXw/v\nvAP33vvja5MnQ20tfPml++oSEXEFu0K/T58+pKWlARASEkJ8fDzl5eVNtsnNzWX69OkAZGVlUVlZ\nSUVFhT3d2sVqhUsvheTkH1+zWGDmTHjjDbeVJSLiEg47kFtSUkJhYSFZWVlNXi8rKyMmJqbxeXR0\nNKWlpY7qtt0+/BDuuKP563feCR9/DCdOuL4mERFXcUjonzx5kmnTprFw4UJCQkKavX/+gQaLxeKI\nbjtk5Uq45prmr0dEwMiR8Nlnrq9JRMRV/O1toKamhptuuok777yTqVOnNns/KioKm83W+Ly0tJSo\nqKgW25o3b17j79nZ2WRnZ9tbXhMHDsChQ02nds41aRJ8+ilMm+bQbkVEHMJqtWK1Wu1qw65TNg3D\nYPr06Vx66aW88MILLW6Tl5fHokWLyMvLY+3atcydO5e1a9c2L8QFp2zm5JiPjz9u+f29e+Hyy80v\nBz+fvYJBRDxFR3LTrpH+6tWreeedd0hJSSE9PR2Ap556iv379wMwa9YsJk6cSF5eHoMGDSI4OJg3\n33zTni7tYrVCa388DBhgnsL57bcwYoSrqhIRcR2fujgrIwP+8AdzNH8hc+ZAVBQ8+qhTSxERsZvL\nL87yJNXVsH07pKS0vl12Nqxa5ZKSRERczmdCv6gIYmMhKKj17UaPhtWrzYu1RES8jc+EfmGhuezC\nxfTuDTExsHGj82sSEXE1nwr9fx5rvqhRo+Crr5xbj4iIO/hM6G/c2LaRPkBWFhQUOLceERF38JnQ\n37bNXE65LUaMUOiLiHfyidA/ehTOnoW+fdu2fVwcHD5sfk5ExJv4ROjv2GEGeVuX/PHzg+HDYd06\n59YlIuJqPhP6Q4e27zOa4hERb+QzoR8X177PKPRFxBv5ROhv396x0P/mG91CUUS8i0+Efkemd6Ki\nwN8fzlkVWkTE43l96NfVmUsmDxzY/s+mpsJ33zm+JhERd/H60C8vN++JGxjY/s+mpSn0RcS7eH3o\n79kDl13Wsc+mpmoNHhHxLl4f+nv3mjdH6QiN9EXE23h96Nsz0h882JweOnHCsTWJiLiLT4R+R0f6\n/v7mej2bNzu2JhERd/H60N+7t+MjfdC8voh4F68PfXtG+qB5fRHxLl4d+qdPw/Hj0K9fx9vQSF9E\nvIlXh35pqXllrZ8de5mSAlu3mhd5iYh4Oq8OfZvNvN+tPXr0gMhI2LnTMTWJiLiTQr8NUlNh0yb7\n2xERcTeFfhskJppTPCIins7rQz862v52kpJgyxb72xERcTevD32N9EVEfqTQb4MhQ2DfPjhzxv62\nRETcSaHfBl27muvx79hhf1siIu5kd+jfc889REZGkpyc3OL7VquV0NBQ0tPTSU9P54knnrC3yzY5\ncQKqqyEszDHtJSZqXl9EPJ+/vQ3MmDGDBx98kLvvvvuC24wZM4bc3Fx7u2qXhlG+xeKY9nQwV0S8\ngd0j/VGjRtGrV69WtzHccHfx0lLHTO000MFcEfEGTp/Tt1gsrFmzhtTUVCZOnMi2bduc3SXguPn8\nBhrpi4g3sHt652IyMjKw2WwEBQWxbNkypk6dSnFxcYvbzps3r/H37OxssrOzO9yvo87RbzBwIBw8\nCFVVEBzsuHZFRNrKarVitVrtasNiOGDupaSkhMmTJ7O5DXcbGTBgAOvXryfsvCOsFovFodNAM2dC\nVhb88pcOa5L0dFi8GDIzHdemiEhHdSQ3nT69U1FR0VhUQUEBhmE0C3xnKC117EgfNMUjIp7P7umd\n22+/nVWrVnHkyBFiYmKYP38+NTU1AMyaNYslS5bwyiuv4O/vT1BQEDk5OXYX3RYHDti3jn5LdDBX\nRDydQ6Z3HMHR0zu9e5sBHRnpsCZZuhQWLYL8fMe1KSLSUZ1yescdqqvh++8hPNyx7WqkLyKezitD\n/+BBiIiw745ZLenf37z9YmWlY9sVEXEVrwz9Awegb1/Ht+vnZ472XXSpgYiIwyn020lr8IiIJ/Pa\n0Hf0mTsNdNqmiHgyrw19Z470dTBXRDyVQr+dNNIXEU+m0G+nfv3MU0IPH3ZO+yIizqTQbyeLRVM8\nIuK5FPodkJysKR4R8UxeF/p1debUiyOXXzhfUhK0YUFREZFOx+tC/9Ah6NULAgKc14cO5oqIp/K6\n0Hf21A78GPqdY6k6EZG2U+h3wKWXmnfPKi11bj8iIo7mlaHvrKtxz6V5fRHxRF4Z+s4e6YPm9UXE\nMyn0O0ihLyKeSKHfQQp9EfFECv0OSkyE7duhttb5fYmIOIpCv4OCg81+du92fl8iIo7iVaFvGK4L\nfdAUj4h4Hq8K/aNHzRF4t26u6U+hLyKexqtC35WjfDAXXtO5+iLiSRT6dtBIX0Q8jdeFviuuxm0w\nZAjs2wdnzriuTxERe3hd6LtypN+1KwwcaJ66KSLiCbwq9A8edG3og+b1RcSzeFXoHzgAffq4tk/N\n64uIJ7Er9O+55x4iIyNJTk6+4DZz5sxh8ODBpKamUlhYaE93F+WOkb5CX0Q8iV2hP2PGDPLz8y/4\nfl5eHrt27WLnzp0sXryY++67z57uLkojfRGR1tkV+qNGjaJXr14XfD83N5fp06cDkJWVRWVlJRUV\nFfZ02Sp3jPQHDDAvCvv+e9f2KyLSEU6d0y8rKyMmJqbxeXR0NKVOut1UVRXU1ECPHk5p/oL8/MyD\nuZs2ubZfEZGO8Hd2B8Z5N5K1WCwX3HbevHmNv2dnZ5Odnd3mfhpG+a007zRpabBxI4wa5fq+RcR3\nWK1WrFarXW04NfSjoqKw2WyNz0tLS4mKirrg9ueGfnu5Yz6/QVoafPONe/oWEd9x/mB4/vz57W7D\nqdM7U6ZM4U9/+hMAa9eupWfPnkRGRjqlL3fM5zdoGOmLiHR2do30b7/9dlatWsWRI0eIiYlh/vz5\n1NTUADBr1iwmTpxIXl4egwYNIjg4mDfffNMhRbfEnSP95GTzqtzqavMqXRGRzspinD/p7iYWi6XZ\n/H97/Md/QGAgPP64A4tqh4QEyMmBlBT39C8ivqcjuek1V+S6c6QPmuIREc/gNaHvzjl9UOiLiGfw\nmtDvDCN9J68yISJiN68J/c4y0u8cR0hERFrmFaFfVwdHjkBEhPtqiIiAoCDYv999NYiIXIxXhP7h\nwxAWBv5Ov764dZrXF5HOzitC393z+Q0U+iLS2XlF6Lt7Pr+BDuaKSGfnFaHfmUb6Cn0R6cy8IvQ7\ny0h/4EBzXf1Dh9xdiYhIy7wi9DvLSN/PD4YPh3Xr3F2JiEjLvCL0zx/pF5QV8O8r/p3io8UuryUz\nU6EvIp2XV4T+uSP9bYe3MendSZypPUP2H7M5VOXauRaFvoh0Zl4R+ueO9H/9+a/59ZW/5sVrX+TW\nxFv5/arfu7SWhtDXlbki0hl5/NLKhgEhIWbwH6vbR8biDEofLiUwIJCDJw8StyiO0n8pJaRriBOq\nbrmevn3NO2n17++SLkXER/nk0sonT5r3xe3eHXK25HBzws0EBgQC0CekDz+N+SlLi5e6rB6LRVM8\nItJ5eXzoHzjw49RO/u58Jg+Z3OT9mxNu5sNtH7q0JoW+iHRWHh/6Bw+aB3Grqqv4tvxbxsSOafL+\nDXE3sGLPCqqqq1xWk0JfRDorjw/98nJzpL9q3yqG9R3WbO4+LDCMlMgU1tjWuKymzExYvx7q613W\npYhIm3h86JeWQnQ0rNizgvGXjW9xmzH9x7Bq3yqX1dS7t/nYvt1lXYqItInHh35ZGURFwdelX3PF\nT65ocZsx/cdgLbG6tK6f/hTWuO6PCxGRNvGK0I/sV8Omik0M6zusxW1+GvNTNh7cyKmaUy6rS6Ev\nIp2Rx4d+aSlU99xC/9D+dL+ke4vbBHcNJikiiXVlrju6esUVsHq1y7oTEWkTjw/9sjI46LeOzKjM\nVrcbETWCdeWuC/3ERPPMosOHXdaliMhFeXTo19eb5+nvOr2OzH6th/7wfsP5tvxbF1UGXbrA5ZfD\n11+7rEsRkYvy6NA/dAhCQ2HToUIy+ma0um1mv0yXjvRBUzwi0vl4dOiXlUFUdD1FR4pIDE9sddsh\nlw7hcNVhjp466qLqzIO5Cn0R6Uw8PvTDLishLDCM0G6hrW7bxa8LGX0zWH9gvYuqg6ws80bpZ8+6\nrEsRkVbZHfr5+fnExcUxePBgFixY0Ox9q9VKaGgo6enppKen88QTT9jbZaPSUugatfWio/wGaX3S\n+O7gdw7r/2K6d4chQ2DDBpd1KSLSKn97PlxXV8fs2bNZsWIFUVFRZGZmMmXKFOLj45tsN2bMGHJz\nc+0qtCVlZVDXeyspbQz9lMgUVpasdHgdrRk1ClatgpEjXdqtiEiL7BrpFxQUMGjQIGJjYwkICOC2\n227jk08+abads5bsLyuDk4FbSYxoe+hvqtjklFou5KqrYKVrv2dERC7IrtAvKysjJiam8Xl0dDRl\nZWVNtrFYLKxZs4bU1FQmTpzItm3b7OmyidJSOEzbp3cSwhMoPlpMTV2Nw2q4mNGjzStzq6td1qWI\nyAXZNb1jsVguuk1GRgY2m42goCCWLVvG1KlTKS5u+Ybl8+bNa/w9Ozub7OzsVtsuLa+j7Ox2EsIT\n2lRvUEAQ/UP7s+PoDpIiktr0GXv16gVDh5p30ho1yiVdioiXslqtWK1Wu9qwK/SjoqKw2WyNz202\nG9HR0U226d79x6URrrvuOu6//36OHTtGWFhYs/bODf2LMQwoPbmX3kHhF1x+oSUNUzyuCn34cYpH\noS8i9jh/MDx//vx2t2HX9M7w4cPZuXMnJSUlVFdX8/777zNlypQm21RUVDTO6RcUFGAYRouB316V\nlVB36VaSI9s2tdMgOSLZ5fP6Y8fCF1+4tEsRkRbZNdL39/dn0aJFTJgwgbq6OmbOnEl8fDyvvfYa\nALNmzWLJkiW88sor+Pv7ExQURE5OjkMKLymBHoPaPp/fICUyhdfWv+aQGtrqyivh5pvh9GkIDHRp\n1yIiTVgMZ51a007tvav7xx/DA1/cwZP3jOcXab9o8+f2Ht/L6D+Oxvaw7eIbO9AVV8B//ieMG+fS\nbkXEi7U3N8GDr8jdtw/OhrZ/pN+/Z38qz1Ry/PRxJ1XWsrFj4fPPXdqliEgzHhv6e0rq+MG/mPjw\n+ItvfA4/ix+J4YlsPbzVSZW1bMIEyM93aZciIs14bOhvO7CbngGRzW6E3hZJEUlsPeTa0B850jwO\nUV7u0m5FRJrw2NDffXILQ3t17LTLxPBEthza4uCKWufvD9dcA8uWubRbEZEmPDb0D9ZuJS2qffP5\nDZIikthy2LWhDzBpEuTlubxbEZFGHhn6J05Adc+tZPbvWOgnRiS6fHoH4NprzYO5WpJBRNzFI0N/\n927w77eV5A5eVds3pC+19bUcqjrk4MpaFx4OcXHw1Vcu7VZEpJFHhn5RcQ013XcR1zuuQ5+3WCzm\nFI+L5/UBJk7UFI+IuI9Hhv43O3cSSgyBAR2/vDUx3D1TPJMmQW6uuXaQiIireWTobyzfQmyQfQum\nuWukn5EBNTWwebPLuxYR8czQ331yC0ltvHHKhbjrDB6LBaZNgw8/dHnXIiKeGfqH2crIgfaN9BvO\n4HHH0kM332yGvqZ4RMTVPC70f/gBqntu4cqh9o30ewf1ppt/N8pOlF18YwfLzIQzZ2CL6//QEBEf\n53Ghv2X7GQjdz9DeQ+xuy13z+priERF38bjQX76xiB61l9G1S1e723LXGTygKR4RcQ+PC/3Vuzdw\nWVCGQ9py18FcgBEj4OxZKCx0S/ci4qM8LvSLvl9PZtQwh7SVGOH6hdcaWCzwi1/AG2+4pXsR8VEe\nF/oH/dYzIcVBoR+eSNHhIuqNeoe0117Tp0NOjnlQV0TEFTwq9EvLa6gN28L4pHSHtBfaLZSwwDBK\nKksc0l579e8P6enwySdu6V5EfJBHhf7Sgm0EVv+E7pe0/8YpF+LOKR6AGTPgzTfd1r2I+BiPCv28\nTV9zWdcRDm0zKdz1d9E61403wrp1YHPtfdpFxEd5VOivO7SKqwaOcWib7jyDByAwEO64A1591W0l\niIgP8ZjQr601qAhcxd2jsx3arrundwBmz4bXX4fTp91ahoj4AI8J/U/X7qKLXxeGXTbAoe3G946n\n+GgxtfW1Dm23PYYMMZdmePddt5UgIj7CY0L/z6u/oL8xBovF4tB2g7sGE9U9il3Hdjm03fZ66CF4\n8UVdoSsizuUxob+i7C/clHSDU9ruDFM848dDly6wdKlbyxARL+cRob917xGOB3/DI1MnOqV9d5/B\nA+YVuo8/Dk88odG+iDiPR4T+k3/5Cz+pvpZLewQ7pX13n8HT4Gc/gxMnYPlyd1ciIt7K7tDPz88n\nLi6OwYMHs2DBgha3mTNnDoMHDyY1NZXCdq4wVl9v8NfSP/D/MqfbW+oFdYbpHQA/P/jNb8yHRvsi\n4gx2hX5dXR2zZ88mPz+fbdu28d5771FUVNRkm7y8PHbt2sXOnTtZvHgx9913X7v6ePSPfwHgP265\n1p5SWzX00qGUVJZwtvas0/poq1tvNe+hu2SJuysREW/kb8+HCwoKGDRoELGxsQDcdtttfPLJJ8TH\nxzduk5uby/Tp5ig9KyuLyspKKioqiIyMvGj73xaX8fz2OTyf/S5+fo49a+dcl/hfQmzPWHYc3UFK\nZIrT+mkLPz947jmYNQtuuAG62n/bgHYxDINDVYfYfXw3+7/fz6GqQxyuOszhU4c5cuoIVTVVnK45\nzZnaM5yuPU1tfS1+Fr/GhwULfhY/AgMCCQoI+vHhH9TkeXDXYEK6hhAcYP4M6RrS+Nq5r3fz7+bw\nM7ZEfJldoV9WVkZMTEzj8+joaL755puLblNaWtpq6JcfPcHTS5byys7HuO7Sh3noBsdehduShrto\nuTv0AcaNg6FDYeFC+Ld/c14/J6tPsvHgRtaXr2f9gfVsPrSZXcd2cUmXSxgYNpD+of2JCI4gPCic\n1MhUegf1bgziwIBAuvl3w9/PH8MwqDfqmzzO1J7hVM2pFh9VNVUc+/4YJ6tPUlVTxcnqk81/rzZ/\nr6mvuegXQ0vvB/oHEtAlgK5duhLgZ/7s2qVrs9fOfe7v54+fxY8ufl0av8S6WM75/Z+vW7Doi0g8\nll2h39b/8c+/+fiFPuf3WC8Mv1qw1BF28grmXf4qj9/mvGmdc3WGM3jO9dJLkJUFt9xirsbpCGdq\nz7B6/2o+3/s5K/asYOvhrSSGJzKs7zBG9x/NgyMeZPClg+nZradjOnSA2vraxi+Alr4Uzn+94cvk\nVM1pqs7UcOpsNWeqazhTU83Z2hrO1lZTXVtDdV01NfU11BrV1Bo11BnV1FNHvVGHQT0G9dRj/g71\nGJZ//m6pB4sB9X5g+AF+UN8Fyz9/gvm6xehivm9YAH1BSOdhV+hHRUVhO2elMJvNRnR0dKvblJaW\nEhUV1WJ7D1b/ki5+foQEduWqqWPJzs62p7x2SYxI5O1Nb7usv4sZOBAefhgeeAD+9jfzlM6O+OHs\nDywtXsqSbUtYvmc5SRFJXD3gap4d/ywjo0dyif8lji3cwfz9/AntFkpot1DAPLvJZoNT+6HSBvv3\nw8GDcOSI+Th82PxZWQk9ekBoKISEQPfu0POfPxueBwdDt27m45JLzMe5v5//vOH3rl0N/APML4J6\nw/yCqKuvo56Gv3TqmvzVI+Io336zhvXffN34fDHPt7sNi3H+MLwdamtrGTp0KJ9//jn9+vVjxIgR\nvPfee03m9PPy8li0aBF5eXmsXbuWuXPnsnbt2uaFWCzN/iJwpe1HtjPp3UnsnrPbbTWcr7raXJ7h\noYfgnnva/rl6o54Ve1bwvxv+l/xd+YzuP5ppCdOYMnQKYYFhzivYQWprobgYtm83Hzt2mD+Li83/\nJjEx8JOf/Pizb18ID4fevX989OoF/nYNaUQ6v47kpl3/LPz9/Vm0aBETJkygrq6OmTNnEh8fz2uv\nvQbArFmzmDhxInl5eQwaNIjg4GDe7KSLxw8KG0T5iXKqqqsI7uqc6wHaq2tX+POfYexYGD0aBg1q\nfftjp4/xyrpXeH3D64QFhnFvxr0snry4U03XnK+uDrZtg2+/hfXrzcfmzWaQJySYxzbGjIFf/tJc\no6h3747/1SMido70HcndI32AjNcyeHniy4yMGenWOs73P/9j3mjlq68gKKj5+/u/38/zXz/Pn777\nEzfE3cCDIx4ko69jbh7vaLW15s3gV60yH199ZY7SMzNh2DDzkZ5uTs2ISOs6kpsK/XP8aumvSAhP\nYE7WHLfWcT7DgLvvNgPz3Xd/HOkePHmQ36/6PTlbc7gn7R4euvwhontEt96YG5SXw7Jl8Omn8MUX\nEB1tjt7HjDH/gunTx90Vingml0/veJvMfplY91ndXUYzFgssXgzZ2ebVuo/+5gT/tea/WLRuEdNT\np7Nj9g56B/V2d5mNDAO++w4++sgM+pISuOYa8y5hr74KERHurlDEd2mkf47NFZuZ9uE0dsze4dY6\nLuTQIYOMn3/MydFzmJQ0mievepLYnrHuLgswg37TJvjwQ/jgA3Ou/qabYPJkGDlSB1VFnEEjfTvF\nh8dTfqKcyjOVne7gZ9kPZdz/xf0EXl8MH77DwNox9L/RvTUZBmzZYob8Bx+YZ9bccgu89x5kZOiA\nq0hn5BGrbLqKv58/6X3S+bb8W3eX0sRH2z4iY3EG6X3S2TJ7Ixv+Ooa8PPjFL+DUKdfXU1QE8+aZ\nZ9dMmmTe5vGdd2DPHliwwDwYq8AX6Zw00j9PZr9M1pWt4+rLrnZ3KZyqOcWDeQ/yj/3/IPe2XLKi\nswBzTtxqhV/9yrxq9913ITnZubXs2QPvvw85OebFTzffDG+8AZdfroAX8SQa6Z9nRNQI1pWvc3cZ\n7KvcxxVvXMHZurMUzipsDPwGISHw9tvmVbvjxsEjj8CxY47r3zDMC6Keew5GjDDD3WYzl4fYv9+8\ntePIkQp8EU+j0D/P5dGXs9q22q0HlVfuXcnl//9ypqdO5+0b3yaka0iL21ks5pW6mzebgT94sBn+\nOzp4HLqy0jy1cu5cs63x42H3bvNuXuXl8Ic/mKdZdulix86JiFvp7J0WDFg4gGV3LCOud5zL+/7z\npj/zL3//F9792buMu2xcuz67d68ZzG+/bV65etVV5vTPwIHmkgVBQRAQYK5fc/y4eSplcbF5RezX\nX5vPMzPNz02eDCkpGsmLdGa6OMtBZnwyg6yoLH41/Fcu7ffFtS/y31//N/l35JMYkdjhdurqzKte\nP/8cNmwwR+ulpXDmjHmDlu7doWdPc/XOoUPNR1YWpKaaXwoi4hkU+g7yx41/JH9XPjnTclzSn2EY\n/Gblb/io6CM+u/MzfhL6E5f0KyKerSO5qTn9FmTHZmMtsbrkS6gh8HN35PLljC8V+CLiVAr9FsT2\njKWbfzd2HHX+lbnzV83n4+0f8/ndn3eqpRRExDsp9C+gYbTvTM+ufpYPtn7A53d/TnhwuFP7EhEB\nhf4FXTPwGpbtWua09t/d/C6LChax/K7lRIZc/CbxIiKOoNC/gGsHXcvKvSs5XXPa4W2v3LuSuflz\n+fTnnxLVo+VbR4qIOINC/wLCAsNI75vOypKVDm13y6Et3LrkVnKm5ZAc6eS1E0REzqPQb8X1g6/n\nk+2fOKy98hPlTHp3Es9PeJ6rBlzlsHZFRNpKod+KWxJv4aOij6iuq7a7rR/O/sDEP09k1rBZ3Jly\npwOqExFpP4V+K/r37E9CeAL5u/LtaqemroZpH0wjKyqLx658zEHViYi0n0L/Iu5IvoO3vnurw583\nDINZS2eR4ioLAAAHY0lEQVTRtUtXXp70MhYtZiMibqTQv4jbk2/HWmJl//f7O/T53678LZsqNpEz\nLQd/P92+QETcS6F/ET0u6cH01OksKljU7s8uKlhEztYc8u7Iu+DyyCIirqQF19pgX+U+hi0expb7\nt9AnpE+bPvPh1g+Z+9lcvprxFQN6DXByhSLii7TgmpP079mf6anT+e3K37Zp+78W/ZXZy2bz6c8/\nVeCLSKei0G+jx0c/Tt7OPD7b9Vmr27393dvc9+l9LLtjGWl90lxUnYhI22h6px1Wlazi1iW38tmd\nn5HaJ7XJe9V11Ty6/FH+Vvw3PrntE7tugiIi0ha6iYoLfLD1A2bnzeaxKx9jWsI0AJbvWc4zXz1D\nYkQib0x5g16BvdxcpYj4ApeG/rFjx7j11lvZt28fsbGxfPDBB/Ts2bPZdrGxsfTo0YMuXboQEBBA\nQUGBw4p3l80Vm/n9P37Pl/u/xM/iR2a/TO7PvJ9rBl7j7tJExIe4NPQfeeQRevfuzSOPPMKCBQs4\nfvw4zzzzTLPtBgwYwPr16wkLC2u9EA8K/fayWq1kZ2e7uwyn0f55Nu2f53Lp2Tu5ublMnz4dgOnT\np/Pxxx9fcFtvDfO2slqt7i7BqbR/nk3751s6HPoVFRVERpo3/4iMjKSioqLF7SwWC1dffTXDhw/n\n9ddf72h3IiLiAK2uCzB+/HgOHjzY7PUnn3yyyXOLxXLBNWVWr15N3759OXz4MOPHjycuLo5Ro0bZ\nUbKIiHRUh+f04+LisFqt9OnThwMHDjB27Fi2b9/e6mfmz59PSEgI//qv/9q8EC1EJiLSbu2N8A6v\nADZlyhTeeustHn30Ud566y2mTp3abJtTp05RV1dH9+7dqaqq4u9//zu/+93vWmzP1+f9RURcwa5T\nNm+55Rb279/f5JTN8vJy7r33Xj799FP27NnDz372MwBqa2u54447eOwxrScvIuIunebiLBERcT63\nr72Tn59PXFwcgwcPZsGCBe4ux2733HMPkZGRJCf/eNPzY8eOMX78eIYMGcI111xDZWWlGyu0j81m\nY+zYsSQmJpKUlMRLL70EeMc+njlzhqysLNLS0khISGj8q9Qb9u1cdXV1pKenM3nyZMC79i82NpaU\nlBTS09MZMWIE4F37V1lZybRp04iPjychIYFvvvmm3fvn1tCvq6tj9uzZ5Ofns23bNt577z2Kiorc\nWZLdZsyYQX5+09srPvPMM4wfP57i4mLGjRvX4kVsniIgIIAXXniBrVu3snbtWl5++WWKioq8Yh+7\ndevGypUr2bhxI5s2bWLlypV89dVXXrFv51q4cCEJCQmNJ0940/5ZLBasViuFhYWNV/970/499NBD\nTJw4kaKiIjZt2kRcXFz7989wozVr1hgTJkxofP70008bTz/9tBsrcoy9e/caSUlJjc+HDh1qHDx4\n0DAMwzhw4IAxdOhQd5XmcDfccIOxfPlyr9vHqqoqY/jw4caWLVu8at9sNpsxbtw444svvjCuv/56\nwzC86//P2NhY48iRI01e85b9q6ysNAYMGNDs9fbun1tH+mVlZcTExDQ+j46OpqyszI0VOUdbL2Tz\nNCUlJRQWFpKVleU1+1hfX09aWhqRkZGN01jesm8ADz/8MM899xx+fj/+0/em/WvpYlBv2b+9e/cS\nHh7OjBkzyMjI4N5776Wqqqrd++fW0PfFc/Nbu5DNk5w8eZKbbrqJhQsX0r179ybvefI++vn5sXHj\nRkpLS/nHP/7BypUrm7zvyfu2dOlSIiIiSE9Pv+Ap0p68f2BeDFpYWMiyZct4+eWX+fLLL5u878n7\nV1tby4YNG7j//vvZsGEDwcHBzaZy2rJ/bg39qKgobDZb43ObzUZ0dLQbK3KOyMjIxiubDxw4QERE\nhJsrsk9NTQ033XQTd911V+P1Gd62j6GhoUyaNIn169d7zb6tWbOG3NxcBgwYwO23384XX3zBXXfd\n5TX7B9C3b18AwsPDufHGGykoKPCa/YuOjiY6OprMzEwApk2bxoYNG+jTp0+79s+toT98+HB27txJ\nSUkJ1dXVvP/++0yZMsWdJTlFw4VswAUvZPMUhmEwc+ZMEhISmDt3buPr3rCPR44caTzz4fTp0yxf\nvpz09HSv2DeAp556CpvNxt69e8nJyeGqq67i7bff9pr9O3XqFCdOnABovBg0OTnZa/avT58+xMTE\nUFxcDMCKFStITExk8uTJ7ds/JxxvaJe8vDxjyJAhxsCBA42nnnrK3eXY7bbbbjP69u1rBAQEGNHR\n0cYbb7xhHD161Bg3bpwxePBgY/z48cbx48fdXWaHffnll4bFYjFSU1ONtLQ0Iy0tzVi2bJlX7OOm\nTZuM9PR0IzU11UhOTjaeffZZwzAMr9i381mtVmPy5MmGYXjP/u3Zs8dITU01UlNTjcTExMY88Zb9\nMwzD2LhxozF8+HAjJSXFuPHGG43Kysp2758uzhIR8SFuvzhLRERcR6EvIuJDFPoiIj5EoS8i4kMU\n+iIiPkShLyLiQxT6IiI+RKEvIuJD/g9GIJTnTX1h1wAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 37 }, { "cell_type": "code", "collapsed": false, "input": [ "cos_angle(hemo_regressor_hrf, hemo_regressor_dhrf)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 38, "text": [ "0.16580167893517508" ] } ], "prompt_number": 38 }, { "cell_type": "code", "collapsed": false, "input": [ "def cos_angles_for_t(t, times=time_60s):\n", " neural_signal = np.zeros_like(times)\n", " n = len(neural_signal)\n", " neural_signal[times < t] = 1\n", " hemo_regressor_hrf = np.convolve(canonical_hrf, neural_signal)[:n]\n", " hemo_regressor_dhrf = np.convolve(canonical_dhrf, neural_signal)[:n]\n", " return cos_angle(hemo_regressor_hrf, hemo_regressor_dhrf)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 39 }, { "cell_type": "code", "collapsed": false, "input": [ "cos_angles = []\n", "for t in time_30s:\n", " cos_angles.append(cos_angles_for_t(t))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "-c:8: RuntimeWarning: invalid value encountered in double_scalars\n" ] } ], "prompt_number": 40 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(time_30s, cos_angles)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 41, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAXsAAAEACAYAAABS29YJAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nxPtHOMxMAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 41 } ], "metadata": {} } ] }