{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Ball and Stick" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*(Behrens et al. 2003)* proposed to represent the intra-axonal diffusion as a Stick - a cylinder with zero radius - and the extra-axonal diffusion as a Ball - an isotropic Gaussian compartment.\n", "\n", "\\begin{equation}\n", " E^{\\textrm{Ball and}}_{\\textrm{Sticks}}=\\underbrace{f_h\\overbrace{E_{iso}(\\lambda_{\\textrm{iso}})}^{\\textrm{Ball}}}_{\\textrm{Extra-Axonal}}+ \\sum_{i=1}^{N}\\underbrace{f_{i,r}\\overbrace{E_r(\\boldsymbol{\\mu}_i|\\lambda_\\parallel)}^{\\textrm{Stick}}}_{\\textrm{Intra-Axonal}}\n", "\\end{equation}\n", "\n", "For this first example, we will restrict ourselves to the case where $N$=1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Human Connectome Project Example" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "This data slice originates from Subject 100307 of the Human Connectome Project, WU-Minn Consortium (Principal Investigators: David Van Essen and Kamil Ugurbil; 1U54MH091657) funded by the 16 NIH Institutes and Centers that support the NIH Blueprint for Neuroscience Research; and by the McDonnell Center for Systems Neuroscience at Washington University.\n" ] } ], "source": [ "from dmipy.data import saved_data\n", "scheme_hcp, data_hcp = saved_data.wu_minn_hcp_coronal_slice()" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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3fLqMzz3uJPD69/fQPxv1j/jrM18lXPPGRwEAD964D9f+AV40SNWHhISEDpKn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\nWG9CibHp6zByft9fadR/uR8AcHjdAOzyMk4t2l+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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import matplotlib.patches as patches\n", "%matplotlib inline\n", "\n", "fig, ax = plt.subplots(1)\n", "ax.imshow(data_hcp[:, 0, :, 0].T, origin=True)\n", "rect = patches.Rectangle((70,70),20,20,linewidth=1,edgecolor='r',facecolor='none')\n", "ax.add_patch(rect)\n", "ax.set_axis_off()\n", "ax.set_title('HCP coronal slice B0 with ROI');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Generate Ball and Stick model" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from dmipy.signal_models import cylinder_models, gaussian_models\n", "from dmipy.core.modeling_framework import MultiCompartmentModel\n", "ball = gaussian_models.G1Ball()\n", "stick = cylinder_models.C1Stick()\n", "BAS_mod = MultiCompartmentModel(models=[stick, ball])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Visualize the model:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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S0tJw4MABrF69GoaGhmpti6V9RCIRVq1ahX379uHWrVstPuaJYvPw4UPcvXsXAQEBagtW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\nlAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import Image\n", "BAS_mod.visualize_model_setup(view=False, cleanup=False, with_parameters=True)\n", "Image('Model Setup.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fit Ball and Stick model to HCP data\n", "Having numba and pathos installed, fitting the model to a coronal slice takes about a minute:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using parallel processing with 8 workers.\n", "Setup brute2fine optimizer in 0.816338062286 seconds\n", "Fitting of 8181 voxels complete in 74.6848318577 seconds.\n", "Average of 0.00912905902184 seconds per voxel.\n" ] } ], "source": [ "BAS_fit_hcp = BAS_mod.fit(scheme_hcp, data_hcp, mask=data_hcp[..., 0]>0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualize results" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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6jP7X2tXHrf/1Ma525t1+eSfqEnHyqw/xdW+2tVKen97HknNUAI4UO7lnbNNr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OZiny8dOQHAx7fOcnXfbLPWgofOXOPGyOxvFNZcHBsHdaNlImyd0BiL1WTEoDQXmgujJS5PFvlS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KpU\noAYuhVQs+5ecoxoXp82qHkhSlwoEkCQgHa0aEoddKZ/nsTsmHZA8OCrcOSAlwMD13P0J9SMuZBa3\nq4Py2KmlF9Gt7pYcydxYJh7MqR9R+n5lW2eL0Djsjh2Zzgj6WtYQ9Meq0HfYU6bu7HH4KS6Hphnl\nNhXoT1T3FC8rgW/sufEbS+T1iPlLG+X9JT4tR1MI+1VD56XtIe1tPnW5Y5nuXIPavI8+tSk7rPcm\nQuJlpbZUrX4s1Of7E0oyAc1DfnabQM2LiTYfCdkzsom/jZ/j36lztLHnEIfDjTMkTdH/x96bx116\nVWWiz9r7Hc/4zTWkUqkMlYSEGQQREGRQRG5Lt14uttrXS7dXQdS+3bRTO1zR1qa92K2CAyoiLa0X\nWpwQQaQBgzIJSRiSkKmGVFVq+OYzvdPe+/6x9nC+AIE06D3ld9Yv+dU53znvsPd73vWuvdaznie2\nYL9OC6qdILrzJADArCyBbHlIThrIXHg2bpVJaCtqnuxYwV+HoyHyJI/SyarYf8kYmMaRSkogkqDK\nlul6CcoFdmhlXyDb0sg3bFmp2/JqBg57mW6zo2xaMtAYjGpQIkFWDJkaBe263Ooa1OugvJq1sqqF\nCK1TnFkhpUBnL/qORIojGEs6aqoazROvQ7nA5YPsUgvJPdyBu/OMYzj7A4/CNW+x5f0TG6AeZ6zU\noQyv/5lfxiv//Q/w+W6W/jwBQCcSwpYFqW6Qn+bOuvf9ztvw+u0r8d//zQsAAPmpBGKLzyXbHTOt\nQunkGsRekk0hWPoFYIFnV4rUCnpzC6LDDx7ZSlD3+DMdE4wg0E640Z0kjOl3gEubnI26XG2G/de+\nDaJuG3EqVxvyuCNXrvJYoCIEMSZiHJT/bEKeRkBOiLE4nksEe0CSRgDVgnUezfRnXF5zx8jXDcaW\nf0W1LAbK/XgIPgBx2nmeKVyFfZIAyNCUvEnAGESFQbSpPZhzsiSg7GtZGWRbGuUiO854R2BykHeS\nbRIW7y6wcRNHJDonjA47aRcJWQawet2jqfIdYfNR6R7pGo/dIg6kPA9WHbi01p/Qgajgy3QqCVgm\nUrCBoJO5Meictt+70EU+CWUBncDjpeoez4sLvowMxyMFwPC+AMaAucnONgzK5RjrB/gh9axbgdue\ngMvQZnclN7cvzyhJPGDagNnAcWiNPxsXrKkGIN7cQXwhh+rzb7lcy31Qo1MJ3U4hJgHALcY2GKkV\nVC+F6iT+vShtmWqpj+KKPkaHbdPJighYw02N/GLptfpgCDp3zsGAlA6wBw2o3PqeISHemvigDUQQ\nBzhoUottLjV+hgGaidHAku3iiSSo34MpLoXJccGX1rj5Fz+Fj/6nJwMAdq5rIV88CgBon5ngxl+q\n/fFMGgMuUCLge37uB9HedQGd9qVSIwmkDEzK562jLsjO2Te+4KVYf9Ii6KA9jXQRsujb8TWMWXKs\n5OcueDoCb1bTkIhgSgvGt4EnbXFTT6wNdML7LPsxRANEn7ibv9Pt+OCrvHIR2WjiS4ZyoQ/1EBqF\n2bfZ9V/7Noia29z2lekv/pW5zW1uc5tJm2H/tW+DqD+693EAgLqWSG3pzQGb3Uoq3dU+O1X1ePXh\nBYKToCWn0pApAfZ2thlpICeE2uIZQVPt/BqACGzjm4/RXmRYjgVEGTJKOpkCoIOzKG47WQbwuMoN\nkh3CtF6e621VKZcnXSaqXCRfZky3AZiQKeqeMth8DL8uFwjrj84xOGa1s7qNz5Ad+nANUSqcfxqn\nyesOIC1m0gje1pc2p+ZF1IAwgVndAdrdfJIK12Ht78Y4+yyrnRVxWdBlu+KRQbZty5MjDSOZnM+d\nd90NXZLJjkH3AV4pjtcSVF27goy5rGhsWiwqNDOoAxCNQLIlsLHN4zu7sABgG5eVGYS029z+8VkS\nAw7A3M25tGY78EyaoL6SmyGSex+EGYxALXZWstIoFy3QWwLRkLyYL/LYl+igAblb7tG9VGucASnW\nWhgdilAuhMxttsMZj2S7gRjXvm3ZSPKZL4CzOtLSBehYQME1fcQQ4wpie+i/q9c3eZtLGxBZBuqy\nP1CLbV9eo6KGGQTQNOW5pzEAgHu+9Qq0rmKnOVlLPH3Nq3/lzXhcMsHzfuLfAACWPzXw3b8A0DnT\nIN2yJKFFDdWxhJ2xYF/uKm+TBshttm5cYuXjW7j0FKZ7+LHX/i5+6tUv4zlKBLJaQdgUvXrcdZBj\nvn71QoZ4cwxz4qwdBO0h7KQkwcmXXQsAOPw3E1S2nFd1CJ0HFUSPr/WdP3IMpsPXb/lvYyTrOcSm\nnQunxXe52Iz7r30bRL3q0SxS+x/e+80eB+R4jFwgEY/hZVFETRA1+c49GjDlgbOiLzxmqO4Bdcfh\nEAJ/FMAPfx27LhTu6HPBUH5eorHUCKKxGCXP6E176AEAeBkYrcPf4gHx782eWpPBYyCYP4p8ea/q\nB24WVRCKJeFxSU1OaJ9xvDAaMEC1xU5u3DNYOMQ35H0v6SO9IKeEhAOmLN41zHeVfe4N0LR4/E7q\nQUkKY9WMzXL0BJee0A5lwIbLe45bq1wIuDU5kSxp40quFUDbju/FoHO28gKo41XpMW3xiAPRxHUA\nVmFedMRyPk59vvFEV5eXzTLj79z+J821rTtsDSxuyRgIywVlNrex8zQu7fVxCMkDG74clJQVogGv\n7up+Crkx8N1zzWILujNVYiL4tn+dEBrLl1e3CE1GvntNNAaidNQEzR5Gb5NEHEgBVoBc+0AtqRXq\nBQ7uxgcT1J0e8gt8fDGsYJZYOkaMCiCSqFatOHon8gvd5NIEdK7w86J3B3vEe02LuxMBxli6BeS/\n/dmXQzTAwv224zCNMDxiy2kGiAoFuWM/yxJfznNKCQAfgxoNOFqcNAFNKqzczoHgj7/mZYCdzmJB\ngnSG/EzAn00O20WiJJDJkWxxkOroKQDmjDr7HTegXLbPpFJ5bBkpINmqoFdtaXOxAqyAe7nEwate\ntnN44QvLzsyqzbL/2rdB1GpkySI1fNYhGhk0LfIg6bol/MNUNNhDcZDuKO9IjCS0NhQy+8Cu2wLF\nknUybQAUcE/JGD6j1OTAoQ8VuPgkvmGblvGBkgO4e/aDBoB1VEYAwoTsk44R8FLKclE5KMCUdEzj\n+KwcRqmmKaoADoBcNm54VKN7MmTfSBtc8T4H4NRoOnzT776IHaiaOm8flEYhSHLjDc6WMWg0dXPo\nqWBTJQEv5YIqADj4oREefEbbf1fWAbSvU6DRhGhiMRnrBumuU2ZnkrydazhyajocPAGMfRMqBG0b\nh2MfCBoBTI40WF3l38tL1z6KX8N1uOxshp3Q3P4nzfEJEcFMLHhbCgZku+yPMVi+lR/Ew2v7IL0E\nUfLNdPfLOlj5KN/j7QsN6gN9RJt8U6g8wmQlAJHjsUbZcz6N/L0iK4Pn/MsP43+8kRsvotIg3eAA\nTg5LxuFE7sZuYCILdo4ETCR8JoqqBvG2lZxpSYwORBhZHOLyZwRjiAAUxxahY5oiQRa+USYaRIg7\nbT92PRp76geKY2giHP8Rlm96zRXvxork/T/5p16Olfc8gJ2ncLPR4IhEtsn76D5QIl4fw9hgzMTC\n6w3qVECU2geGJpZ+bknxNZDnee4X7okxWeVz+b3/57X49h9+FeggHz+9OEFW2ExUP4OKBdRBq4nX\n7/hgtu4l2L2hwbVvtWTQwwoqsSUOwVg4nfExrv+lEqLga2mIOKge29/IVNB92dgM+699G0TNbW77\nyWiGW4TnNre5ze3hbJb9174Mot597jZ89wNPB2DLdLaEFZXGElcGxmtH1hiPNcgQClv737w58rIh\nnQcMsoa8HEBUGMYYAYAhqDxgplQWyncg4NQLUp+t0VHAXKmEszS+g0wTVOYIJ5mV3JUWYfbSJmgJ\naHu8ZDBF0mlLlR4n1ABxMTXWqbJbflF4lnWX2Rke5SxOvl5j42beabINrN5WY/2xdsWn4UGA0cRA\nRyHDJOowPrIlSDe/pANeCrAZK7sfWRtPELrxmBYO//XQk+1t3tTymShRY08XYzzRyNZd+s5g8+YW\nJiuOPDVQUpAmiLHhtDeA0VUKRtoJlQZXHl3H1x3krpcXt4f4NVxmZjDTK7m5PXJzRJsAmFByxAy3\n8q5TMNccgXFt9wdXUazxdzdvlFgtE7RO8Hcf9fNnoHdcRl4zGaQtVSWXRhgd5NJQkxGTX05c9zLt\nuec++F+eitRmxaKx9iLDrhvMuLIjUegiTCVnSFzmZmps8W4NsRJ5CpJzz2xh6S7OxqTrFS59Tcv7\nxWg8tbH/197XaQJKrXTNVauI7z+Pe/7jTQCAn/+JMd71h5w9O/qxbVz19nW878+4W0+W8BnsaKdk\nKgJXIkwyfy/Fuw371HoK9ewya2XNdBF2XuLNMcpFLtF924+9Ch/+xV/Hhy3R6b971SuQbFtC0kkD\nUhqqxRPcLKU481zLpH64wDW/YxANbdZqtYVmGscrCOJT9/lT2cN6I6Xv+HPM6ZeNzbj/2pdB1Evu\nfy5eceh9AIC/ym+GsfpDKrEg6DoEVcnQSREYUGJQd/lmqlYaxFtWGkDZYIdCQOIwO5NVxug43qao\nCMHC5JBCvCV86SiaTFETKBv8WBoFlRmPpQIxN4CPzgleAd0QIBsgtpjMYtV43b5iGag7BtHYpuJL\nBL6niwp1R2B0yI7vcSMMv9rebO9fRL6uvRPdvjYJbO0tA1kqHPobvrF1InDBlifrDlM0OK1AURsP\nFlcxoWkRY5jAAaTT6pMlz5kH8UcM9vRjB7w8xfInhyDlaq4C64/vQFkM2GhNYveoQ/Rbagg/v+FB\nYATPRWTnLHtQ7uH5ekCt4r3Waz8qO4fLz2imgZlz+/KN2vZ3LiUwqTwH0fDRB3HumRbPt1CjPCXR\nLiwb9+4Aos84GdPOsXPjAtoPcMknPnEeC3fzw3t8Rc6NHpZ5XDQRmtxJDQDFMiGzyiTRRIGKKYyW\nFB63Y0gw7xEYX0UGHsBNjQaN2FHEtYIsMx9EmQg483x+vfKxHAc/MsHO1exjkoFG+yyfs9yZMOeS\nZeY2k8KX9uLzOwARuh8+BQC48zuuRfeJ7Azue0kf37PwabRfzMHfza2z+P3vYn4n+eA6EMfMcQUu\n56ncBVQCpA2kcz+1gollGLciT5VAZYNbXv8bAIDaKAASHy+OAQBe+9rX4XzDAdb5ZgH/7/d9I+It\n6zRVjKPvsj4zjZgLa2J9bT/xC3fRAHUnRm6B5aaqvK4eSQFTVjDDy42p3Nls+699GUTNbW77zma4\nRXhuc5vb3B7WZth/7csg6q3XvNe/Fr0aRvI0iEaDNBOo8XvLwG2t7BHGh216dkuidy//PSoMQOG7\nWsKnH6UVA/Z0BEUAQicbEvFwCvjdnioxgct+OnG1qZDPVJn2bfkAEI3J78NEBiqH11A6+OHGl76a\nPIIR5MWR4yH5AH/3aIS6CxSP5VXdi67/DCaKV6LvubaHeCTQv5fLANlmBLrT7mNjhGqtg1f/198G\nAHx1Ju1KC3jhXS/Gg++5Eq3TPGf9OwfYenTPj2Oaebzs7QWhM3u662JEaM8gLi04rT4jBXTCK66L\nT26h6gdQvSz2knlSaBSCyjiLBgBNzVmpzAJU2xcNopG23xNon5O4sMvq6L9Kz8a/uusWAMBbbjyC\ny8ZmOB0+ty/TlIZeYyCy6qSIz23B5FzG2rk6wtrfOfFzgdaZETCxnXtKgSzoe3L1Inp374LOXODP\nFvs+25tdLCF3S5/dEms9VB3OBJWLAjoOPgxAYD2XApDC05joRHpfRIa729x9TEUNbFkCSCmxcGuD\nss9dhY/6rjtxesDjO1sdwO41GRbvsooC6xXkfawiYIoCRj/kaWu7A40U2Hje1fjLn/9FAMA7Rkdw\nb8H39HXZBRyUO3jvG7i89+kPbUPcy2Uxfd1RqFaC+AQrrN/3ygVc+W7etUkJ0Uh51ndRK8ARduYJ\nM4/bLHmz1MaJmlPdAxPhZN3F/9q9CwBwR9XFu7YfCwD4xC89HlmmENl9xpeG0C2+ljKLIMeVz+zF\nw9ofWycEWWvoZS7B7t60gHNfx8e+8l1A69wE8gGrKUgEivkhdNmQbs6wFTd7BAAAIABJREFU/9qX\nQdSZZogjEdejpNSBMoBYZNg/oAVh/fE2AFlokC4UOLrIGIIHbjvsH9BVm6BSwsQK2jJ2yfE9EeSE\n9tAoOIyQTg1Gi9p1yEKOhH/Qi4a76dx7UgBZB6Q7CpQ30BPLIC6Bus83zOFHX8APXv1eSFu3+pvB\ncfzpO9k5XPO2Leg0Qt1z7XnkS2jnnhGhXm3QaXFK+8/ufAzEOcsno4Hu6do7wOTcLmjIAdXOb2f4\n4GPfCD8IADHx6286+Cm8sbrSl9CG13ZQLNuSXWFgJCHb5A/TXQ6keLCAmirv6Tik/YXFH1x4KuM8\nRBU4o5qcy3UqdelvxrzxdlwWkE4MfshBJF9n3gdZ4WRpg2KAS7xRYdA6x87qTHoA/3HAqf4r8Wlc\nFvYV4lkhojcCeBGAi8aYR3+ez58N4E8AnLB/ersx5tVf9oHn9vAWSX9/GAJMnqK2FACiMejdyQ9K\nepAlUVyYIbodaMtent+7DlzcAFn2b50mEIUt31UNqyssW585qtA7yfsY1RmqThBnN0QeV6V7LZh4\n6tyk8IshagyI4AMsqhuYAyy/1fQyxOe3ceDtjEO8f+dGXHoSf+9ffMMH0I/GOJawIHGLStyYcAfc\nC3/1h9A7oREVPMKqI3y3cbFM+M2X/4qfsoPRNn5/6ykAgP92y7OwcDdw4O2f/JypFRc2Ud18BJEN\nTm74zRGKg1zaI2MAIn8MlaWQ9tjUjhHtlJCWv6tcTvGm7acCAJ7b/QwGOseLfuJVAJgmwkEl0omG\nqDSzzrtzGIztHKUcpNl9ygEgW5aSoh2h7kSI10O00fssz3vrzA7qhQxkA206d+ny4oqacf+1L4Mo\nF0ABYHVol61oDEQTOIKaHF4SBiZCNWnj1IPsdLrnCLKyq4yUUC2Qf3hDcwYKCESYDtzddAxiq+0W\n7xKiofSYqHJZIRrzmyrjB7kLAqIJoWxZfpCxhJlIj20CAWS/98SVB/AtnV0/vhe3b8UvvOxWAMAr\nv+GpuOf7b0B+p1259dpoFtkhXPlejdPPT3DwzRaQqjSaVuXnJT25DrPDuKS7/svVuP/5//2LzvPr\n/uIFOPrJEsWylYRYFphYnbt4h5DsAuPVsJLy2LCxgSwDfmn1Y9teLuLCV3WhE0BapyNUCIx0TDAm\nNAZQHegrVMbBleOGkkUIbGXJoPpR7nBrIbgkZRCPmGcKALJ1gUk2LZp4eRh9ZVZybwLwOgBvfpjv\n3GKMedFX5Ghz+9KsKAOYu5dBdVKM13ihlG0Fzih0OywHMtXi7mRKzIV1UCv3GSxSClS5LhCCbudo\n2na10o4Rb/I+22cM1DU5KivRFE8iZDYwEsMCaqnjF1+iVl4PD5Kg0ihIu9SNz7BEdQN9cd2fY/8d\nn0IyYED4H4yejTu/51fx1iFjiI7Hu1gS/Bi7/ftfhxv+2/fhVd/05wCAE+UqToyWAQCNFvjA6Eb8\n8oOcPf7QJ48jP8vbXfU/RpC33/t5p9Z0WnjguQmO/5Yl26xqxGNL0yDINvVYXKcUUJnwn+mIkNjx\nfeANb8Abdg4DAH7oJ78X6baGtA0+KgGatps/2nOvUlUHrK0kNN0U1ObjR+tDJBcZ56STLoolCXM1\nz0v3xAi9Oxx5HyEa1aiX2NenmxnQXF5cUbPsvy5P5sC5zW1uj8zMl/D/F9uFMX8NYPPv7RznNre5\nze3z2Qz7r32ZiQKAPx5xNkpdyrxgrZGundetnAwW7uZ0CBNHhohYR9p3gSkrTBwPXPYidOAZYQku\n7ft0I2RcmAjTILUkneXqFJt5Yb9nj6cy47NNEGa6eoZoDI+l+pNbH4/XHPwQUvpcxe7XXfER4O0f\nwbvGvNr8he/5DmR3cVYq6rVx9D09nHqhZeptgKN/ZUnzdivc+eoV3P+8P7V7et/Dzq1r3W09KCBL\njdIyuVc9gnQlsxIABTb1YhmeskFUhNWP7mDj8YyfOvfsRTS2+SjZZWkJWX/uXROVBioOAshNO8jf\nkObr41c0JmS6RM3XvuJFHIa9wBkR7wp0zoSuQlIEJLzhu8/dhm84/PiHnYtZsS9xJbdCRH839f4N\nxpg3PMJDPY2IbgdwDsCrjDGfeYTbz+1LNGqFzlOXqTWCIBqN7v2Mv6mWc4yvX/Xfa1oC6RZnKNK7\nz4OsOLF61DHInQlo4G5QAdOxHWlEkMOSJVwAQMCTT4pJg87ZClvXs09RCaE50Lef1dBpBONwO5hS\njpHCAj8Rjhc55m/1Oc/E/ANMknnsA8Dz/vplOPcM9lN3vPxX8aZdxk69sH0CP/tP/gA//2vfxsev\ngG/87g8CAIYqxZve9nxPPXPssxWyD97+hed2iul88S74DJ0hmipBaphI8FjA3XoqdZko4Fdf9zp8\n3/f9AADga/6v78XCbZxdWx6fgZlM0HGddGkM3bJyMQ3vs17k8YlWzJI7AMT6DuLJVBaxbjzmK7+3\nRNbOUK3wNRsfziFq3ke8W0OWCnWHH/dpEnvCTdFuQ49mv2tvlv3Xvg2iNhoOoqIRIR24dCyXrqY5\nl4pFe4PELAMzfXc7mZeq7+r8Nvia+o6RHERF1jfFIxOAz5VBsSRQdaf2ucwfZucjROMQfKkslK1A\nDA53vFHxiJBf5Ne90xG+5bp/gndc/xdfcOwvsLinF/zX38bphp3t13/45Vh+W+RLhNQAp59nyaau\nV3jTV73xC+7vofbPb/luAMAV9yvU3SjwTxHzVgFAPDAoF0NAKaayy8ufKbD+pB6GR+1nFbzz65xT\niAeNl29QSQiUYKxMjj1cfjHg3Zqc5W7ccaIiMA2rmAGuiQ1mJ2sCxaot1XY0qp7wjQHxAJCb/MB6\nzcbxyyeQ+tIwBevGmCd/GUf5BICrjDFDInohgD8GcPzL2N/cHs6M1cebVNi5np1IvtGAmgjpBb6v\n0wsjXw5ynEViiz8zrQz1YQ54mjyCWc6QXbKLqFoF+gGlQcNQbkNtQFajqVlsQSUC+bq9XzJCscL7\nyM9r1N3Y35+xNqgzp9XHDTwOvK77bZANENRSB7Ju9kieTFv80c/iqo/y62/8o5di8wmM9XntQcJj\nXnynv8eFMnj/a77GzhVwxcUC8Uc/+0WnVawseczQnS9fwo2/vgEaWdmXtYXARyUJNKX/WSxKz+T+\nEz/6u/j+//P7kW3ydq3PjoJMD4D7Xn8Frv1pdui0OwKdZuoUyjOgrJBaRQi9vIDGyuHEWgNVDXL8\nW2kSGm6MgdgeIrN6g0m3jWY5wA7EsEB712Ibqto3FBhcJoHUDPuveTlvbnP7x24GnAb4Yv9/uYcx\nZtcYM7Sv3wkgJqKVL3/Pc5vb3Patzbj/2reZqOMpt6yqzPhWekew6BnEY0K6Y1vdE4KsjCeAq3rk\nWchFRX5bgMt0Xhw4MkBBSIrQru8EM4UCOmeVz3apTKA60Nj9axhBe1i8na5eNCHQkHzpr+rBR+rd\nMxp3/+0x4PovbR6OWpD9a5/4Nrxy418gGoS5qJZ4xfNbT34LvjYL29xXD3FbySDJY/E6Hp0Q/mLM\nq8Effut3omXLmqMDBiqVaBy5stlLoJluG6/+HpfA+AAf+8xzUibAtCXKdBNoX1R2/jRULn0pFQae\ntVflhCYLZcFoYryosZacEnbkdJNl4TNR0cRA1IR4bDN7Jw1aF/izus1ZqunyrBM0/K1PPR0feMVh\nALPfJvwVAmY+/DGIDgK4YIwxRPQU8CJt4+//yPvUyJaO6gYLf/opAMD2Nz8G2UbjSR9pOAFsOztN\nrJaddKmhKJSmNPtBRxcijAkktgB0K4UY2kzG1o4/drw9gLn2oG+y0ZLQdHgfdT+FkaxBCgA6jhEP\nLd2C1ZxzCYamm/qHkRiVGN90EPGQn1/ytnu+8ByceABLJx4AACwB2H5TC4e7nNVp1npQOe81Gtag\nO+4P2wkBYctp6tASmm4Cldqmnq5Afokd1Y2/fBGkNPQC+0mqFai2QsypBAxQ9UJW3FUqXv2f/nf0\nVeWB9PWhBSSnuZw3ueEAjv3nGk2fM0UijyEsmScaBTEY+VIqwGznfGI1dL+FpselxfTkhs9EmUjC\nxFFgaz97AcmOFTXu5KCigsksID5PfXf15WKz7L/2XRD17nO3AYAPCvJjA9Qf55spHtuAynMLGVAW\neE2mAxoYeCmSaGxYMNi1xacEbbvxihUu6bkOFUPGS50o4qAi27bcUyPC7sR2sl2hUBN8eS3dJt9Z\n5kWGp/SEKku/NFqT6J40OP7+7wIAvOVpv4mnpAEf9ZfjGJcUf/lF7TPoC97psWgLV1y9jnbMKfWz\nO33UuzxJz83ZEbzyLLfovuv9T8TRd/P34t0KpA22b2An023ZwBGMFav6oUOO5yx8JibGBzxGAInt\nWtQpz5Mr4Qll0NjrUHUiiMYg2+RzIg2QrQky+0HgzCqWBaJx4PyaLs9OX0uVcodM1Rf+eiaWST0Z\naMbJReF34Mqq9WaKd97xgcuknPfl74KIfh/As8HYgzMAfgpADADGmF8H8K0AXk5EDYAJgJcaM8v6\n65enOckXMw4PwtHzbwYADI4KXHhqhNaD3JIfjRaw9nfsqOLhhB+6tuuOygqpxUShqhlfY6VBdL+N\nco0f5CoRiCYKiSsHTrI9GKH44sCfh+5miKwPU5mEnOgpnBDt+R02eehMNpJ8p168PoYsNcaHrLRU\n+1FINtiJiEEBGoygd8MxnZnrj+HCV/dQ207B/ILB+JB9fTHF6omMWcwBUBJj9DvsKKTYxakLy7jm\n9ezT8lNjwAaQVDdc2nNyLloB0uG/BOPDrC8RzZRvjwlVL4KxIsfRsPaSN/l96wARTn8LL0Sv+qYT\n0K+wmA4iIA7+mrRGs2Adv8khaoXElmpNHPkSLRUVX1sruKyvOoThMfbJ+fkC0e4IppvbQ1CgOBAi\nCFnPss2w/9o3QZQLnh5qb3/SG/DC+/8tAOCKDxhQY2AcP1EUHp4AOwyHjUkGYW5lAaS7GvHI4gRa\nAuNlu1qJebXleFTIBLoDQ0DdEahtZirZNVi82wIFLwoMjwadO0OcgeI3fONOA6MDvxRTNPTezzfM\n973nB7xTMQQUKwbJozlz8v7Dp3AkY9zBW+58MtK0wQcf+3Y/rpfc/1wAwNM/+c/wiqs/gDt3Dtjz\nJK9IPlmN0WQB2+TmCeBziiaAsH5aVsbPp8qsVp8dg5Eh2GoAICGPFYvGQQ4nHnGQ6xyzW0EDQDIC\nQPDZwroLRDb4Eg3PlyM6JYMgOWPP3R1v57iBLHm7zmkBOTF+fCoJga057qLD2TaaAtF/OWaM+bYv\n8vnrwC3Ec/t7sD16eQ+x7kdOAwDa7xngrtfeDFmEBYHO7CLjymXIYemxR9SogKkRAqbfwe5NnFHu\n3XYRic3Ulis5VCLQ9Cw2p6iZTBKcmTEnz4RzzFKIZd5Hdd0SZKk9ebFKKFAASPat0ZgdV7xbI9qx\n99PGNpJLm0gsN5OJpT/PZrULmcUgl6mJJEbX8vF2ro6gY6B9ln/svRMT6NgCrQ8Qdp5zHJ2TI3t8\ngfg/8LnIYYXj5QRkQdpU1h7kbpIYNC5ALmhbXfJaeUYS6rbYI73iAyplULcI5P6gI0QTHp85cgBi\nYxdrn2DHePHiMbSu4gpEdn4MQQRsM00NRRFiJ9MjBahuoC9xcoTiCJRZPbzaBsF2YS8mBTqOviKL\noRd7ITupjM9GUhTNvJberPuvfRNEzW1u+9pmWHtqbnOb29we1mbYf+3LIOoPBot4zxanv2/unMPX\nPZPxBH/VuRntE7HvdEuGGrETINYG01LjdVv6DEZUGMSDBtKuUOREedoEUISqF9ruew/UGB20LLM5\nMFkzqJZ4u+yCxOJdtjtvS2OyKlEt264XaZjxFxYrRMZntKIx+bIYGUBW8FgjlYaMS5MRWhcIu10u\n571/chzCqmc+/dgJ/NzhvwAQiEh/9kqmNPiN9WfiI4NrcP8JzkQtrnNXIcAZNkfj4I4ROu4MTBUm\njVei9k3gMOV/ic8bYPmbeBhS/4xZCnM/Xgu1uIX7GiQjPrhOBSZLESZrFp/RVYDtmJQjAVkG0eF4\nlyDKwIgOCqtIWi7x4ps4c9mSFd7yma8CPcCZPZUrJAe5jPKS6z9/dnMmbV5U+8dlQoBkwET58pYQ\neNSP3gNEliV8PMZnX8PkzGLRQI26oJq3O/rnGrLke2V0MMb64wk6t4oA/6yPq1/Pu8zv34Tu5CBb\n9mn91jZ2f4RJK+PT60CWwkwRc8KS8up4GbIEGpt9msa16Ji8/wSs5JYjBY0iIE2AXZtWyRJ+DyB+\ncBtGCu5MA6C6qZfbSncMeqcKJKc4U6MvbWClPAYAGF7dYTUDSxgqRzWEFVSmUnHnoZOrMcZL3IAI\niCQItoTXSrwf1jFTpjiMazTSPtMWFbyty8o3HQlYNnjViiG2CMmHWfYF3/pYnHkOX6/FO3tY/XCA\n4ejtHVBi8QlKcQnPmqkbILbPp36Ps3UFPwj0cAQqHO6gASUJyP4mKImDSPPlQro5w/5r3wRRN37w\nOwEAcawwubePBdvpemv8GGw9nn9I11x3Hkcfv4XTQ04PXxx0MB7yzaNHMbIHI7TPupZSeNByuUBQ\nR1PPJdQ51/g0decsoDaEf3gPjsQYHrUtsWsNIA2ibf5QFoE3CeCHerxldZkaQpOFXxLjrPg1KaYk\nADhQ0ZHx7yGAcjGU13QCdE5Z5/tAC8Nr+Dw/3T6EW5auwEs6ASSdWa/3uPZp/OfPPg+9O9gBZVva\n457qFqflXZAIwkOA+gZNKwQrPi2r+PV0UFW3w2uVwd84kzVC60Fb1kwJQgHjQxaEfkyg/QDPX7Jr\nWILBnveBK7Zw/SLrRR3Nt9CPxjg1YbDqB85ci51zXL8TE0I0Ev7czEaKU+MlAKyz+GPPug0/tx5w\nTy1b03X/Xg72DwHMnNs/jFEcgfo9qDV+KMsHN6G3LIBQay7P2BINxRFu+GGWJ6JWC5QmHmhuNraY\nwRxA+rEhlt4dg9pc/rrjJw/g3pdylHPVO5aQPTj0IOnxv+wjnjBI2hQloBQoceRsjccdde7eQr3S\n8TghHQHKlpRkxVxvzleoVEI4nqiiZH2/LKgnOE08I1mPzpfNigb9uwf+Nc6eh65DYEB3nQQA9E63\nQK0Mxp6n07bjDcH+yG2ntOdfQhQxj9MKLzzLlRxN25b6aC+sIh42IO1gHAKkdfApBOg+z218bgsm\njiAWmF5i5U/vwupf2hVxlgJFCaOnfP10uU0pr3sHCoE0lOLxpI5vSgG1/Q1Iuec3YYrLBAc1ZbPs\nv/ZNEDW3ue1b+wphCuY2t7nN7R/cZtx/7Zsgaq3PHQ1nHlxC+yLBCNd9ZbD2QZ6G86eO4NTNy3j0\nEW6RvebwBhq75LlvZwVn6jUku7zSiIcGys6ejrgbb2IzLptPEOhewce7anELz1y+B6sRr5YKHeOr\nc261/bGT/xQn3n8M3ZOW/qAOKxfSQLZpPCh8dEX4FZmY2ctdiUulhpm0AWjFrNoOaK4lPBhe1Jyp\ncVkjOQF6d/F4ihMr+JGTL8X2c/8MAPB/9B7Anwy45Pkrn3oWso91kG8EgKhLxauUS3TuvOVkGlhu\nIIiFlAGg7hnkFx11APaU0DgLF65XNA7bNe0A7I4Kg6gwvkTw3K+/Fde3mK7il275enTujbB8u52z\nc2v4m8Ocebr96h28+OpP4kcOvBeAZW+39vGyws+c/l9w+/1H7AQTdkou3/3xqIOnpufxlDaruv/d\n6Brs2DbJJ/f4OrqmhZnu0pvhldzcHplRlgFEoAk7gObIMiIHhN7kjJSxmRSjdMhcADBFAZQifMeW\nc6iVwygNvc6qGDf+wOeqY+z5Cblslutii8IxyGaQVDeDyqUHXkeF8UK7VVeADHfoAUBkANOymSdt\nOLNiSSVhDHeUgdvzTaMgBqGpw7fuSwmxuOA1/8xoNHV+TAHgaBtoWPiyHODYv6ee1K7LbaHDZTn7\n3XIhQmUbV9JdjWRXBZiHMUh22NlW/YRLgcb5dgNtmdulMTBZ6jNfpqpCtmmqLAvYLJIDvE+9fuh2\nVKeAkPwAcGY78EzNJT6ynZcuUzhtrmlhZkk3Z9h/7Zsg6to+p58fuH8VRsAHJyojX9PONgySv81x\nIroWAHBKhQe5aIADFzTiCf/wm1R4dtpobGAGwOAYv3/y4+7Fjx9hEczaCCyJCrdMjgEAfukzz8Fr\nNr6Jj3cuQrYx3TEWzoUMs/nWHVsaewgXFaZ4lEQdghGVcJcb2XRwPIZXGW9ahHjqHtGS0+qAFeF9\nUOKeCeOe4v45fHLIQQXd20ayazy2Tyehow3EAZDbD6mAj6pb5B0oABhpUFgFCjFFCcHzSx4TVYOx\nSy4wi4YEI205T/A+021+/647bsJzn3aH3YlBvm6Qb1hc2TbQO2nn6K97eOfi1+L3HvNMAMCrX/g2\nfHuXsQdPShP88fF3471HbBeTiXBXeQgA8Pb1J+KHTl4N9SAHTrIgNF0+sT86+DgU2xl+9Bl/jpm3\nGXZCc3tkZsYToCggLP6FVG+qNGV/7y2LbczSEIzEEXSv5ctyYpCGnWoNIgI5KZLReM8D+6Gt8D44\nyTKgLPc8mKchwKLSPnAygoXGAV54kgGcOpXKxB7pExoXgBMnNsaX12g0YU4kV/qblCBHW2CDBBfg\nIU4grMC6iWyHnzvPqSDGBU+mttQPUeSxRzSpYPLE0y9UPfL+1AzJM68DQN2NkZ/jxXNMTNlgprq7\no0scIJl2DtXPPMaMdiLGN9l5pizjsisANI0PUE07hxhNYGyXH6bKlsb+Fh7OPCZqZcmLUOvB8Itu\nNxM2w/5r3wRRN3U4u/SZowcxuLCK5Lxtb08IVS/80OMhAxQBztzkzo8YDkbGlkhOpeHmcUGMCwo+\ndtfVePHH/zUA1o+Lh/Df7Y2AxdI5FY26TR4zpGz2CWCCOpUBuSV9NJLpCQCgPNTYH1Xkt4uHgTqg\nXDSecymawP8AZQWIynhHxpkgh/A2yDYM3nmC1dKP5xfwgRMcTOaXCCoGlHd4gVIhKji4oml8oj2e\njq3TtL4wGgnoJDhUURF0GoIv6TNmDIh3waWop2RhiAM4J7mD3RivuuUlAID+p2NkW40n9yv75Mea\n7DL3U+9e/uzHb/mnOPfV7wMA/LslzjI9119shRe0TgIAvvbME5B/tI2Fext/3oMr+MTqM10s7hi8\n7q4XAwAO4W8xqzbLmIK5PTIzxgC1AqxOWnm4h9LKIMXDFWQPDoGT7O/MaOwfyGRSGCFQHbT8T1f1\nEQ84cIi3JqDNnUB5IAOtgH+gO/C4INCipR9oZaCNbRj7MKY4AmKXGRKWyoA3UwkhGdnmm4rxUF5H\nNKbApZdEQBP7jBIaBS9dE8s9GR5T1z6bhrIC9To+AzONgYIUoN0p6ZW6CWPVGqZRcDI6iKIQiGkD\nKmqgnfgxOCoUURNEQ4gKxyEFzycV7UxQL7dBFvMVDUrAUhPgwCqadgS5E2havGkNamUh8M1SHzBC\nKZgsCfI7SoXg62GM4gjUbmP7a64EAIzXJA79FWNFaQrDNss2y/5r3wRRc5vbvrYZdkJzm9vc5vaw\nNsP+a98EUS7bsF538YftFSzaclCdw+OJ6g5QLkx1s+lQQiNtS3tuQTQEpCvZS15JOZHh/LYE2Qav\naqJCocnJ19FVGjBDyUij0QG/FE2ROtZd4rKcXdmUC+RTXWIooVsKZM8t2Z0iuzTMfN7YMqDKgdjK\nsFBpV0sOv1SakOGxfytP8jLr1+Nnot7i9HgaW0JPuwKKJvCkmU1OkIXxkjQ6CueiIxZnVlOSMa4s\nBwJiRWids3MxMP5GUSnPp+t+jMZBLkaWhrt87PFMK5QcVApUHRHqCRSyWSoNZU0AyE8l+I2d5wMA\nfnv09ag7BkvXMw7kXx9/Lx6fMoHgmQuLWLs0VcaQQQpINDzWAx+ZcQkFM9srubk9MnsoQWK8WWB0\nkO/buh2j7vaRHORynpwo6IQzHpPVmEvszm+MNLKLtoS1PYCpKtAUW7aTRTF5CpOlgCXfpEkF7Noy\nUMbYH9eGT522zwyJqkHTjpBuWQhEW/L9CSAqDYQyXr6JpiqH0BqIpMch0bjw5ScI4kyYlS0xSoVz\nbuVQ/bYvV/J+bRmwqLhz0GHA0tSXCI3StgwaWLzJSdxIASgNYfFaoEDLQooz03XbdRxqT2jJ3cfG\nnwtNKl8C1YstVD2JzHV6x1EoV+Y2C2UzaGopUM6IYRlKkABAImTWXGnQYdWmvycl9HLP+7/WJQ3d\ns/CEccHXy2YPMYuYqBn3X/smiPrDIbeovvUjT8HCyZAOJhMAzTriG6Rp2VSxNBCW5ygeEKIp8DNp\n7AGBQwfNNlkEzba6TSgWhZdlEQqId91rfghLxzNSGlRdh18CouGUDlwBNFNSJVSGYGGyZhCPHD4L\nqDvGcyBFRSgDRhMCKfJtxdTs/XEaAqIhH2TrXB/xlvTnTDqMyRBAzt8ULN1SrIQ2Zudk6rbZU4rT\nSeDaooaDx8maGxAh2Q3lUdJhrlUWSn06ZkmFumcxX60a9U7qx57uaM8bo9JQSoDhYNelzrNL8AFc\n+6ICaYPyY0xr8OqbXoLVr7rA2+3GqNsEbVPqTQaPK0uGBmWPEF/gCzr9HJg5m2EnNLdHaEqBWi2U\nR/n3mt13EUu3WpB5P4eJBETJN51qxxge5gfk8AgvTHonrCrC+QJyyzJ4j0b84HWlpSgK4OZJCZOl\nULakRWkE6ekIWG6EFvt2P2NQix/QOolQLMeIXQmvNE4xhVv+p/BCslDhN6oRSm0An4fdJ+oGNJp4\nHizUdcAyIYcYFaEUV9WBe0opDmIc2LoowliN/buYIq5yJTQi/t9BEsYGZT9ALIwgJAPLuj5oIMYB\nmyTi2geCJo48JkkOSogm89qdROSDH8pz6H7HB2NGCsiRBY9XNfT6ZgDZT2HWKEuBlSWeGwCYTAJO\nighiMMHSrcbPoWOcVyt9iKLE6KlXAwCyd1zCTNoM+699E0TNbW7QrU/QAAAgAElEQVT71Qiz3SI8\nt7nNbW5fyGbdf+2bIOrVd3BHXHohQjwye0pO09klQ/DZEv67Kz9xGly6LG8d2nWblFAuwpe0jKQ9\nwroqDT8CUQcdvSYn1G1CthHA1Q5kXqwYiB6QbvH7qm9ATciKVQvGZ8zigfBiyDoG5ISQ2E7ZqhdK\nYTBA1efyHwDIxvg0ejwxUEkYg5gIT0cQj8yerFWTw5f/hHpIqnUKZM7iwPApGlER6lU+mWgzhk6M\nzxTpiDxwXVY8F65kp2XoRJQVZ7Zch9wTj5zF7eaInfcIdVsEElId9Ph0xHPrrkOyazwgtMkITS59\nFjDdBi58krsUW5vcMTndSejKk3LAWanxdcu83T1TKvGzZjO8kpvbIzOjFKjfQTS05Ilp4jMQkdKc\nxbGs4WJ1CfGSJcndEEh3DVoXebtoYwSMrZ6b0lyKcyWu8ZgBzrwX/q9ypbEGtMXZV707AB0+gPoA\np9rjO3c9CNxIQvtcCVmwQyiXM39PkybIyngwed2NPHu6Yw8nqxkHpULmyYHAXZYlioAyiCgTANjs\nk6nrAEhPE5CUvqPN6CnyIQUGkNvszHQp0WXjvFpEaZBYeISWTOzrmlealkRsx0O7I1AaQae2vJZF\nEJbI1KxvAcf7DKC34/XdjgDowgbMUU7Rc4efzQi6MdsuRA+8B7icWlae7oGk8JkoMyn42rruykgy\nWB4A0gjmwDLaH/ysn4qZtBn2X/smiNLG4Zz4vWvJ15KCLEpOEA0Q2dJY06bw8DQcYEnXsj9VzoNw\npSL7tp7C7EgOTFzQJgfwQVrd5oe6K+dxUMWfxbuEdBv+xxMTeZmXckXDpBomcTdsCBxEzYGD+66O\nAiZKxzwGR9sATeEAxg7QDa/foOrxIKIJn/J0wONKdtUCb+PKbdHYBlkAi/gS0LR5YtRCA1h+LtXW\naHrGB2N6I/L7MII7I0Ud0uaYug4AkJ/lCb37yCoW+xxBDnstZJsBX2EI0KmbF4Is4APfeMwCoQCg\nO4S6EwIslQRurXjI19V1cBoC5GCqw1AZTFZ5MqYaxmfLZhxTMLdHZpRnTFeQ2HJ7EjNDNSwFQFl5\nXJLqpr5sFI8N0m2FaMdSI9RTGCEpeBtb4qI4gtli9QLqWyyCg0CUlQ9qqNMGkhiisUFAzrgkAKgW\nE4jaQFo+q7otPB40KgPrOOBgAPYmbxSXEG2AR1nqBXMBgCIZ3sexZzZHHAHjSSjvxbEv32GqlAdg\nj/RJ+CP5f918mpj2BFWy5g7nPec9xYsXPggM6wCg2gKiz/gmc/IMskuVDyApSaYCngljndw+tQE1\njvbccHA0ZH9HUvoyKqSEydMQJI4CTpMy/rvHUyXxnnIplRXM1NzMnM24/9o3QdS/v+kvAAA/uvUt\nSDcTZBZYnm0pxGP+wQ4PS1TtKd4mHYIDgDMQbtURjTl7A/CDuX0Oe0HoVmS8bnPwk1gcVDQKMihG\ncEbE3Xw6IsQ2g9S0AGj4bImOCcoGJ9QQTFeDBnyi+YUpgDjsjS0/l0MK4ICksVhFlYeAkbTTg+LP\nrjqyjlOaiSqzjYQ18qbmczozQxoBFD4FIveBj7ZZpO3wc1O5izjDeempX6OopvimcoNi2VExEOKR\nQceCMkcfWsSl43yRZN+gyUNQHI8Magfi3zEMZrV4sGIxSPHUXfIgUYAxcU078FLxv2FMJpwKhNo7\nvzNrM5wOn9sjM0pTVGsdnHwh32z9u3OsfZCxLKQ1iFKYnAMfnUnPPRcPNKJhHYDXSvED25k2gbyx\n0/bYG73cY4yOAy83Cia1jmI4Aqoa8rPcMq+uO4LRlS2/y3Sj9G3/sjJ+kdhkjM9qLNi5bofAIRrm\nECLghFBWoeVfir2cVTJsx4OMA/FnHMHYbJrqpqBSQQw4uPDYIXCwZbQO+3wIP5ZuJd6XRWMN0eeA\no+wTmjYhW3fzC3+epqogBhNIh8FKJbTNPMmlRYj7z6O88TAf4sCSc4M8/0ZBjDioahZanj9LTnKg\nrCBWGAtn2jln5ew1wfpWCDynyE9NUcIUJcTaiv2DgbZ0CyQlzIGVvWOeRZth/7Vvgqi5zW0/2yyv\n5OY2t7nN7eFslv3XvgmiXtrdAgDc/+Rb8Matr0NmhX2daLCzumM8IaSoyJNYUmPLYVNZz6oO7bmk\n4VcrVZ9QMEwGOjaQJSEaBUI2zxJecabItf3WXcL4oCuvAckglJjqNlAu2xbZlkJ0McGxd3Dt/9wz\n8z0142gMT7egp0phOuZSm47t+Az5z3wG6TDv8/dv/D384gqze7/n9qchmhjP0C5qE9LNY84aue11\ntDczo+OQi9URYDIHkAKirchndVQaqCXikbFCynYnhmCs4PH4CiC7RIjG/D6/ZGAEr9QmBzXKReHx\naNMdfoNj5DFlAGe5fJbR8P++SzMB4l0eRLJroOUUDqoIwtNOwd20plbCs2oz7ITm9sjMDIZIHkhw\n9C/ZyahU+MxKfeUK6l7s709ZKGTrrk5uIJqpNvw0AXnyyYS7/jo2VSQFlBXdrfspSBvEG2N/fCdc\nbNaWGZvjOvJi4bFNACBqjabvhIQN4jF/VrUFqi5w/XcyFuezb7kxlMO0th1xwZGYKYoDiiIvSExK\n+2483c1RL+WIt9iHie2hL7VNDmaoc4H+3XZ4dRNILuuacVVT0jJOyNdEnPlSuSU2TkOmG4a7kh18\ngQy8rIwhYoyWPU9NUUAktDJgYwvJOS5PNMttUMdm77ZqLjteYroV6mZQqb1e/TYkgGal6+dFDmz3\nYVkxritzGluVl98xRQmxuBDwUhbPBgA4uMpyO+e+OGnn/682w/5r3wRRzu4aHbAgZYvNScmnlEkz\nfsjV5kW5t0RHem+pzwVUTc4YIQeoblqAjhxYnJhTaqos6LXsGgMjiXFFAIrlEMBFY2J2cVfSbxno\nnj1AJSAq4IHnWy0kYUJZzjAOSFq6gKgKJUjSFu9Th8DQQ6IkY5uuXOOb91DUwU+tfQgA8I7lpyHd\nCQGdaMLYSblWX7sfET7TiYHKAiA+mgBKWa2sEeHgRxQufBVPaLka+GyM4JbiaQoJsiVBRQZ1B0Er\nMIYH0Y+v1BhepyBqjoaSHePnWkcGzWIA0ifbIdiKh1wO9Z/tAMlA+3MpV6bGXsGXR5JdjXjUIJrM\nMJ4AwKwLeM7tEVqe7Xnbvv0s1CEu8QyvytFkhGRoucwq7Uv7RhJ0YyBd+SuPobMpnFATnlR1J0Jl\ny1aGgNbF2gc5FMe+bEUAQOTLZtRoxMPwQNaRQNOyKg+ZQDTSfp9GCtzzuzfweZLxSgP1QoZEmYDB\ngsVhAUxV0DS+1AitA42AECgXYkRDdtr60gaEPc90PUPUiiAKx7diPG7MGAPECcwS44tUJ50CljOT\nem2VKpqcPLdV3SGkT1+HeDsHs3LSQNt5EJOC58WW8OpejLQJ5UKKIpgHuQQaiQMwnlXe7CmzRusD\nFMd4/5MDKfL1BHLsHjQatM3OT+8OuATrgPBI4BjYxUIfeqEbeL7SBDTm8dz8B/fjFw7eim88/nTM\nrM24/9p3QdTc5rYvbYZXcnOb29zm9rA2w/5r3wRRb9rlltEPfuxRWDjDGkgA0KS8ogA4w5JuBQoC\nWQWhXZ1gTwcXELoyHDO2I6A0UajhGmGY9NGWiuJyqrMj5lRwbTO5Kg3ZkGhEqBaAqsvfr5YVZMof\nqkqgXtAwcdhX07blyQEh3g2acSoJUbyJGODuOutUEjJIWvLfH7d01u+zI3hVVRxokF2MPGO5jshT\nIcDw+N14Re0XQJyRyzWiHbuiFQilxQQ481zhszr+c/C+4m3j9fGqRQ1pwf/RiAlK3TzJ0nhwerxU\n4Nse9XG8GV8DAFj92wjZpiP6I0wOiAAYp9CpJwtuEogmtoswIb8qHl1BqDvGl3Xd5wBn3EaHEjz6\nBz8FADj9TsyszTKmYG6PzMhqx2V3MyGsyVM0XdtJW2i0z9aIdri8p1sJykUu6+iEkG5UkGPO6lTL\nLRTLtgVfcobFAb9NFDp1o7Gl+HAdXVHkySjN7oAzU30nKEceBExKg4xBNLZZK2Ugq70pBUe4WbdD\nWaxciEAqg6jYaZI2oNKKJpc1aFJO6fgJT4UgkhjxoAFNQuu/3trmU17u+UwMANvdZzsM4whqsQ3V\ncZwq8KU+ExGK5QRFn/2BaLCHQkW/awVJ4RwsvGiy6bZBg5EHiMt2HLop44jLn7aLUHVDZlGCKQk8\ntcJ4DHONK9vSnmwhBHxnogBno/SNx3g/67toDrC+oU4k4q1JaMjTBrTEn/3Cwb+e7SyUtVn2X/sm\niLrU2JvccHrW2KtiZAiaogk/TF3a2khCnbtWLA5y3EOYFLzI78qnKuiIsHmjjZTS0MEVTchzFAFc\nQvMM3pbx1gU58Yg807ioOagRtmwV7UgYyyaejgRIA3XPtdHCB1TlkQb1ToRo6DARgYdKZcTM6fbc\nxDT3Uwuouwby87RByLGATi0vCixlg4sfP0+a1fFXqY7yY3HnUqxaOofFBogMzNDVBYF6ycpF1BFk\nSYgtlUCyJVBbGZumwxgzZ1FhMLiK5+UlN96Kl/Y/hjdrdgqyMoG2ICWoJJRHIx1kYFyga5YsC7MJ\n+KxqgUuAviNvisqiyQXGqwJ/dceNAIDr8fHPnYxZsRl2QnN7ZGbKisV2HUt4lvoSVnJhCNoZ+vJa\ndGkb0QP2gdzvoFrrYHyUfWGTC5SWG+0Zr/gYKh3hlrc+EQAvLBz1ipHAZC0GwNslOymEDcSQpzBE\n0Dn7vsnBDE1q8YRDBTnRkDYAigZl4JdrxQBiqNx1BZPnaSv7AmRipFthzPWKLZM1Bun6BHLD1vC1\nhmlbPFYrQTRq/KKK4shjhLQxkKMQXEHpUM7LElacsJ8bQd4vqihC2RV+oW1kWHxlGxpRafzzA4TA\nNN7OILT2ZU9RKsaqAZCjGFTWXq6m7iXITk0N1o6LNxSI7bUVDfNq1TZgJm3Q9DiIUqm0nIQ8+Oqm\nnsfe5us1UDcQG1aqJ4qgFvlaPue7/hWy7P7Abj6rNsP+a98EUW87xc4hPy/2grAn8BkWT7Y5BYz2\nEimGEI32Ugc4DNT2NTHKRUJts0aiQXjQGw643MO7XKI9enXTeCJRYg9VgcoAldlAYocClkk5CgQb\n1OQK8SLfBFGsMKlziG27ijPA6Ep7KpKxU9JiEadxXcUBDd1S+OM7HgcA+Nj6VTi3zquVZEtgfCBk\nfKgBpJXDkWOLg5qiKvArtYZgpEG1yoOKtiMgcsRXGlDk9ykHQQeqaRmUiwHUL0ugsStkHRtEw8BT\n1WSBy+v3P/1k/MGDz8DKHXYCjfGahXUXgAiBrywDDcXkoIFZqmDGvFMxFj7wi8Y8Xw4/lW1qr503\nWZEYHtN43k13AQBOYzaNZpxnZW6P0BwGKHX3uAFt8QOShmOYfhfVIQaFU9ND0+bfddWTiCbGZzNE\nY5Dt8OsP/+KTQRroO/oDExYZZAl16154XEQ24yKKBqKsUS3Yh3lMyC/Zh36tQUp7kk6xMw6yK6nk\noGMqE+6aN5iTTUBarGE8bpBdDJQEYncCY7XzKIk5IAIgtkcQRFALfGOrJ1wLYTNfclRBru96jiU9\nKfz+qCghJyUDyoE9FApVf3GPxFe1EGhPkl2D/FKF+EEL1DbGg9xddszElieqFaGxGnsqjyF2jMe2\n5Xed9wGdLkomBXW8TYdWw7hLBRAg7PNKlspnt8ZrCWeqbAZNKIPMahbGmwWwuQ3YpoHxDWs48JNM\nDLz9ykMzH0DNuv/aN0HU3Oa2r22GndDc5ja3uT2szbD/2jdB1GBslzmWPVxOdcj5lnXNpRvXgWeI\nWX7tO5CeojyYuqh1m5i92pXppjr1SHHWak/7vM1EE4C6A9Q3WII0MjDnbJeL4pRysh1Wg86KFQN5\nfIhrlzgF3I5LCHtCZ4d9TAaBO9sI+BR6NCHEI854ASwBMz5qTzRTEJEG1nnbzc8cgic2lwBEoEbQ\nfYXaZsGSTelLkG5QOg2TQw1B7vJq6Zq3D72Ewb3/PEM0FL6LEWC5GoDnSqWhbEcNZ4SAvUzw7t/u\nad7H4j0pjDC+23J8QHAGyn5P1OTnUU8JTcsxQexkXiImGsOXEo0w0DGXGwBg5zqB6jqewO99wnvx\nzd1P4o6KJWJ+DddhVm2WV3Jze2RmJgXoioMwp88BAJonHIeobEv+Wg8717bQO82ZFjmpMbgqYG5a\nFyvvD+KBCZmSVO4h0I0KFTJWtQK08birpiVRLbCTjMYaoFBGSgY6ZPaVhpg0/hjj4yuou3zjZhvc\n7ecgAiaCz5BzlphQLtpM1KCGsDIl4tI2Z04cCe6ogtllh0pEoOVFn/maHMoDvnVYsiyK7fLbk+2J\nIv57lzNYNBhDr3CptO5Gdnz81f/7O9+Cu4tDAIA///lnM5GoywxKCZPZh4fLEqpQzjOCPysOpJCj\nHGRFoqkoYZY5618++gjy+9Y9/qzpZdCW4oBqzupREbajNl/b3v0KMEFGRw5L0K4Vlx4OQd2uz/Tn\n929i8L9xCZS2TuJysFn2X/smiHrJ9Z8AALz50tPROi89X4lQD7k6JuitAcY/PMkYREVI69Y5s9UC\n/GBPdgM3Uzw2fr9Vh1D1A9u4qIKz0DGX67SlADCTGJGe4jIqKfA3GW69B7iUVmzkuGfkdJI0lpc4\nnb/WHqJZldi05byFu0LgUC4x3xTZc1EpEFvQN21K1D0Nk/EAx4fgA8ZoSIhG5MtfekF7kmCVCag0\nUDNQQzDLNpU9ikAqcDzd/y0dNCtOkqGGGaY+uDTdxuOj5JgDSFcClSrQQjQtxik5J9pk5OdFx3wt\npvFM7ryYq4tCma4AcitYHk0M61d5mgbywVq5QChXDHAVO6SXPOoTeEaHyWYUCNfHbVwf89z/GmbY\nZrhFeG6P3Kiqsf6tjwUARKVBbKkDmozv04tP4Js828yweIfV0RsUTBXgmMi7OVTbcjhpAy1FKL1V\nygcuVCuofo6qb4OAvvBBRTQREMr4ErcslNfKU3mE4dHcL2oATG3HTOru/q/b5BdG0cggmgSsqk4k\nxNDq4S32QDvDwOlU117/D4KAooSwn7XOSR+MiN0xzGQSeJQEBY4sKZn92wU+RYTRMebB0jHZxTXv\n82d+89t9ab9bKsQXdlEeXeS5z6WHGYjSIJooH9RkJ9ZBhr+3dUMOoIfuJ5niQC8veEmW/J6LMEWJ\n+jizmTftyIPx5cQGT44jq6iAdcsnRYJ5oRxTuaDAC0VdmPE4SMIoNcuJnc9vM+y/LgfBirnNbW5f\njpmAK3i4/7+YEdEbiegiEX36C3xORPTLRHQvEX2SiJ74lR7K3OY2t31mM+6/9k0m6qdXPwMAuPo5\nl/DT8puxcLtVNt/SHjweTQyXfRyYXBvIInTqIRN+ZSFUWCnFQ+4Sczp30Uj5fchSgrT0oPC6A5SW\nzZwU/x+f5uVZNA4M4sm2FbddC0B2t4prciawNJYwTSwoHOlyK++FcRcbJxbRPmu7NPqActkeJyll\ny4nRONA7sN4fQVQu+yRCxiwFyqsLiCkCUTNyrdFc8pKFLQvkGkK6bkAFU0oo21kX7UigtiRyF2Mc\nvqXBpcfxyZUrU9p5ueHzyO1+8nAdDXHX38QCzaOBRGU1OP+/9t48SLKrvvP9nHOXXGvt6r21tDYk\nAbKMxY7ZsYAxi+0Zg8e8MB4MD4/BE2NHPCBi3viNgxdjx7wJ/Dx2MCweG2wDMvbYIdvC8jCDAfPA\nSIAkQID2Vm/VtVflnnc574/fuedmtbpb3a1qkd11PhEdXVWZebfM+8vf+S3fn84AI8dTUJwPOXYW\nofwa2PcaoL9DbxIJHUwbkkm7jSDHxDn05eA+9eUX8eerL5FNRvBvonI1fS1fY2zZmqXnHwG/B3zy\nNI+/DrjW/ns+Epx7/pbs2bMJs95i7v8TiYP2M+cIehJBau2PqS/lzL/QprT3KhZeIYajemiSg586\nUQ7HjUvzH3QSwn7qWvQPfuwR/u89/wuAt7305+g9Y4bWAblBKquG+qLsbzClCRI7Iw9JI7Wvlhuy\ns1vsZeOE7c7r5+UsygDC1YTQSrMUZQ8g/4921uosJ5+UMHg6UcHsblJ5SKI4SutSZb3o4S9SaBtl\nMboJA9g15wYL0+25OYHMTpNPVAkWJaSd7p525RhaG9KKdp1uJlBMPi4PNh9Y4y//4TZu/ti/AaB+\n3FBftDIpVUVvLnTfA8OpPTQek4h1dbVC60AIiOxO8/5lUQ0H0rkmWTVw0g8ohUrKOaNqkMGilHEY\nQM1KdIvBkHxtnVNhQKJURdF7FLpIHsMEM+5z82Cs7de2caIK3j65wFWv+Rj/auOXAZh6LCPslR+i\ntBaU4wAou/GGkwGochRJ1DVE5aBsuYHty9r7Ivfn6lpOYz5l/aAdTRBIqz1Iiilql91y04+Uz1t7\n7oDdu9eJrYvdGcR0WrZdtxURbQQuxTVQMd9mvz0MBbliOGVD4RFkTZu67EuHX6G/VF0uJRuSPUPI\nlFOyzaMyvZVHYHJFENpw8Im6685TOQQD7eqlsnppy1RgxAGx6crqkmJgFcuT6YzkV5f5qT0PAvCd\n9X3Md6SAaWWjTrJWJVqx6b2+ctuvrCjSQeDkHbJm7uQq0OKoiSI9ZKFxNVdFiL/QpQqGpdOWx/Zn\nu5nKmnJdfFHHUF1Rbki1ynKngmy0YjgZ0DogF+qx227iyrfcxziyFTUFxpgvKaWuPMNT3gR80hhj\ngK8ppaaVUnuNMcef+t49o8iAW0kxP+MDJ/in45cD0Dqhadyp3dgiExjMstijg59ekPodW8OjkjL1\nhpYUIVbz6LGfqPG2ybcAkE/VmH9rn5k7xFmpL5RSAbVlQ3W+435/9Gdmadjh4I0TOfFG6jrksoou\npxIEiuF0TH3eOl/DmM4uaxsmpFQitp2DtfkcNZB9hmnOYE+DdK84D8Gj86hiREs1ljqnwkmMQucU\nZo0Yo5XILAB6mMCEnE8+3UB3BphiTEpUfgcMGwF5VDp4cWpofk9SaJ3rZnnlv30vVzwi3Xm61XfG\nL5uuE85Wae23dj9SxDO2G29hgE5iBtNybIPLpqkckm0GxpBHNZciEq0t+TmPQ4Ikc6UMSinMinWo\nslzqvGKbkowil9ozkw26V0zy+K22xmxDkdqFbfXyFlf+eguzblO+WpO3Wowb42y/to0T9XAiq4Cr\noyYvrcIrXipfdv/Y/hEmHpPLUF3PCPojOlEKjL3pqyvpJucqaYb0rK5QHkI4KOur4o5x0Z+koejs\nCZ0wZ9TFrQKCoazAunvtDfuSHq+6UuptfnLmHjQ5x1IxFieSKVZsn/+h7iwPLO9k9YS0MUfLIXm7\nKLoyEBvCno34LMPG9UVLsxYHo1iETJbRF9UNCdoaE5TOVyEeChAfjRnus1GqRBHaInA9lAhQ3y4G\nmUzIhzZCthZuGrDeuSyjcZncoB+96TO8vFYmuj+oE47VpbiytnvIRlrjB2uyUjt8aI7a43JBo47U\nhBWFrNGVbbeN4ZEGYU+5SJQJDKYock9FFqGocUOVkcP6Ulau/EAKSaNCQ0r+FeKbOjPuuVkkTnVh\n7PNvNRlXznJswpxS6u6R3z9qjPnoOexmP3B45Pcj9m/eiboA5B1ZxR19fYUDs+IcdK9pcuRVyr3h\neWzY/wX7/A/3qAYp3z0qhdFXfygjOLbstmfSFGVn4Jmds07jyAQBe/+0SmAdmXilT2Z1oYJeghok\npFZW4MAX+tKKD0Tza+QLS277IaBiW2y4dyeDPRP0donjUj/eI49k31k1wIxIHnT3V7HlmASdAWE3\nLef/zUzK3DhEL0sNhqVQZRSUApvG1lEWDtZgSL5T7A1pjmp1yxl8saazW35OGwqdGFcnW1tMURti\ncxr/uFxGs9gcLNFHoRaFVK+UxW3rmglWrrfnupgxde8SlR227qoakNl5eMFKh8gYTDBifAtHsB6S\nqQphYvXBFldgTsb9PPCe3ez7kiGwgsEmVMSrtog+M8SrQ665TTY3nI5d4CDoBeJsFgrJ+XgWH42z\n/do2TpTHs20xnG04fMkYc8tT2JM6xd8uuhpWj8czRoy5/do2TtRvHP1JAH5i9ju8tnGIF0w+DMBX\nf+RKVhsS0QnbITqRGieQGqkiWoEJyCqKgR0WnFXKEG91xRD2DHpYtAQbipr97i5N0ig79zDl64aT\nhuGOTIQngWy+zt89/qMA/O3kTVx18ARv2S+O9c9OfouD0Uik4yB83a4M/6/H3sShFYlY9R+foLoQ\n0N9lV6K1DDWw4fsUkSCw0SY9VFSW7fl0A7KKcbVbZmQhpIfS1VZ/0LY4N8quN2n/h2yXXQ0ONcG6\nfKyCngiQNi6XcPeL9j/K7+3/RwAiFfCNwZD/uvAKAL746NUkK1ZleSNAJ5BMyzk0D7RoHJDtLyxM\noVYi1/E36MSYvIyQqQSUvRfipBxdgZFzKlJ4aRWKuer9mUCKF0cijaOq7jopo0/DpiYp1OdzQ2Xd\nkFpV+yKFOpY8PYd2BLhs5PcDwLGnZc/bDBWFZSeWMbAkaZ36iSWu+wourTNa86K+WGGYG64Ny9FO\neV9qCXSjTnrVXlZulJjP7P1dwjUxWoNdNbKKorJcTGNX5Fa2IGgbsqkaygpexov9kZqrCHVgr4vc\n5ButMnJz6CjxIahOFwWNmmokwpLdnVWyQLlyBRkCbuu6spxwve8U0vOpOnrD3o/DBKKQvB671+U1\nWweUGqLFjku3mX1z6K5E71R/AHlOaqNBrQMV13mtMiPiwrb+tTrfxRTnNxyi4hhz+R67P422Nhlj\nRCV8XiJ9k8MUldkuvqoi3TlBdEjag/O5KbKGta1zTYKNAcGqrW/S5XDnPKyTTEb09kj0KbpsShTa\ngWs/0UK3umXNlyq78+TFBtWRcFq4XMNUy5ITlaTk2XhGoBxjbL+2jRP1zb+9EYAfHLuBDw8Mib1J\nml1D3X6e0probLh5bganeD2cUnT3Z0xYh6DfqlK/T8LPxfzM8c8AACAASURBVBiAtJhCXlf05kZG\nk/TKnO5gEoaz9iacTtCrEZPflrchbpWflDwKWfrOAf7js0SD6J6bL+f9uz8PwOVhk/+weCN/9FUp\ncI4XA5IZu81KTlorVbxHVcEBcTJsji2tG3RaajFpPeJkTJQ3VbSuYaiIi4L0XlkbNpg1pHMJUcUq\n7i7VnKaTsVmF9oLk+v7+xLP58SUJb//M5d/irrUrufse0VaqHQtoWOHfsGPE2bOGen04ya+87q8B\nuOy6Zf7DD97A0kNSnR8/Hrv246xmyCum1K3KS4cYLY5TMZ9rOFXWounUjrkYUXJ3OXgj+mDFvLw8\nwhWZBgMZjdHbaZXWJ8azQFNx1uHwp8rtwHuUUp9BCjLXfT3U1qEnZBG1+vKDtA5o9n1JbsisERG2\nxOMIVtrQ65dOVDgE6yg5ZeqRFJSyqtn5nh2Ea112fVW+aNOZOsM94lQkTZEjiI5L80r/qjm3qDCV\ngDzURAvWOCyvjmy7hplqkl4haXndn0WvyvPM+gYmyzHFDLw8I5oXx6Gyr8KwKdINII0xua3jCnox\n4eIGwZpsJ5+bon+FnREXKKJ26hw6E2nSWuloJs1JBlbfqnG0T7yw6h7L9s7RukrsVFq3NghpGIp6\nOfVDUvelD887hXQANTVBap22oJc4GQHCQByaIi23sMxkT65/3qgx2NOAy+bc67JCCyo3qGaMqYnD\npTd6MisQCLMcE0/S2ynn0NsRkYdFmUON2nK9LPBf6cCi1FmR5eLwzdjr1Ky4dKyJNC/4xHf4xout\nwn00fi7BuNuv8btiHo9ny1HmqS/llFKfBl6O1B4cAX4DiACMMf8VuAN4PfAQ0AV+8Snv1OPxbHvG\n2X5tGyeqaFnvJ4raAlTW7PyzHdqpl0cdwJhNApx5UhSBG+onNOZb4s3PKpwImgmgsztw893CXinY\nmTakQLKI3CRTObXL7SoqV/BgxbUA51E58NgE0gE480154Zd/8Bw+d8OzAKhP90jvn2THofL8enbO\nVP/GHkloqMzbwsha4NKHIOKeRaQI1KaJ5FFb0dkv53T1DcdoWxXk1a/vprKKE9RLa8pJL6QN6UpM\nl2wVaM0wtMXcpirz8WqHrZzEsmHjiKxKP956MfXq0BWyB/1SJTyPsGlH2cf09+F32m8CYLA7Rfd1\nqWBeKW+wPABTLRXZs6pEkUCiRjopi1XzyLhZhypVVFeUS8vppIwu5oFMly/Sm2lVudC+TiCpaSdx\nwMTIhR4nzr6m4MybMebnnuRxA/zKU9+T51QUatvT960Qr0/R3yVh1fpjG2ibqqE/AK0xXYk+qTBA\nNaxhSlOU1pgi5WNyNwSXJCNvVEibcs/35yJ3/4WDnNqJPuluSb31d0SiVG6JVrouWmJyU6bsdIDq\nDQhsdCafrGFsJx1RjK4Fbn6cWVnFHBPJhql6hdY1ky6lnkXKSbGk1Rid7qDysEgc6I0uUUVsXVaP\nNs3qU50hemDTfpUAMuNsdrRcpvayy3axfk2Dge1aDvulrQt7ObXDG3B0Xg5G6bIbME0xrTZRcT3D\noBQB3WhLlM0WbKuZaZI9NhJUDciqAZ29sp36YopOyg7GtF5OnAgmYieyGa50iA+vUq9IBKt1IMLY\nBpikbkgaIbFVeZ84HBDalJ3qDdH9IcYqsudxKXGghzlfef8LqNVkll7xGRsrxtx+bRsnKt8nRiVr\n12QadlAokcsXI9gvbw3F3ZtHjIxMkdqYQq1Wp8aleLKKhICdzpFxm5CUltWDKh4bDuSJSS+iORSt\nFZAusOJ5OhH1bRnGCb29OY0ZMZTdI02mjivXRVjsB+DKPcu8cO5RPvXlF9kNQXWv5LSGw4A8Cxi2\nZf+V+XJSuk6ht8vwsueLntYfXv5l2rlcs1ta78QsTRBYH6G7W9HbZzt36nY6aSH+29Fl6HWuT9KJ\nyms2LDWqeqtVol0ZBEUnHc6hK4Y2R8UUeY1rm24eDlBZqZk1nFYuRaeVIY9HhjgPymnsqFInC0Tr\nKuyUMg2DmVKXJuiWavR6KI+7gcc1qC4XTqiVh7ClamZEbX7ceJrC4Z4LSdFBpRRhLyPs2BsyUE5H\nSdUqMEzKL3qtXHpLAWYwcOko1WyQz0rKLp2ukkXapdCNVk7jqLKaEKx0aD1LvryzuBzIrfsppJlz\nnFS1gpqW1FA23SSvhYSrUlulDy84lXBjckwKrNscfhC4VJh6fJ7qbI3eTqu4neN0m4aTio0rKsx2\nrMTB4jp6UMg0KNQgc7VO5shxAtsNGM5MkU/WnZMI4jwBrDyzyWCqnGaQxaW8S+3xdcyho66r0AyH\nmzrZTH/gHFHTqJHskusZrvfQyxuYltheE0fkVSsxsNonWsyJ2vKetS6vuP05lfaw6ObOMTvsYPQ9\nVSZ+sEq8Ina5EZVdykWncDE0euX6KtWV2L5/KZWlUjNLGSPvm7wR0AzBplWVGk8bNs72a/s4UZ2y\nkC6LlZMg0EOo2LZQnUgUqrIqH6j+bExvTpevqSr6hVCmUe7GDoYy0TsbGW9QOFRudp79u0oVyYa9\nsddC9LB0CJJG+aUf9DYXOpvI0G3bEQ2ZjJEphCPDvqFpa0UHacgHd32b5CVyw3723h+je1y+5XVf\noff1CKbFyCS9gLBr67gaoG5o84eXf9nts6lllfgHt3yCt6397xgtFy2ZkPMAUGsyW6r4kIfdUgfr\neVcc4p75/SQThdpneX3ixYBOUEclRShss5OTVpSrPUKNGhWDTgyxlaaZfDwlsNo288+vkFXLaxZ1\npA4KijoHEQoE6xwV+iuRHe8yY6UmZnI3/08PFEG/jNgFfUXYLaQscvrTmuGU7L/aHMNVnGWcZ095\nzpEkJewk6I6tsalE5HZmmx6mZLN1Hv3X8tSDH1FO4DKrBAT9jPhEy70uswWhRpfF4iAz8aK2jYCs\n9hgcmC4f65ULDpVkqFaHvG1vyCgEK70Q9PoEtar7gkapUseoSM/YommyHLTYLNPtUnlsmaQp9aB5\npDD98vSjniG3bf+BMaiedeCigLwaolulgF8ZFVPkceAWnnk9prvPyjkoiNrGLRJ1YqisWU28w1IS\nY9K03Gbh7FUrmP4AY2vOGAyJVtbdOZhmo6xNCzTxCVugubyGaXeIMxntsviv4P+45U4APvL7byLe\nMG7EVhZrIhsVjzoZLK8R9OXBKpTiz8MMEwUkdr5hVtUjNnnEYcI6vrY4fuEFM8w8OIBKxR33ODLO\n9mvbOFEez7ZmjI2Qx+PxnJExtl/bxomKpmTVlq4GpFXlal7CgdmUFstDxWCmjFo1jtv8em7o7Qhd\ntCmPQLmBtZKOKiJKaiSHW9RbaZumm34AhjYyM5yS1xVh5Mpa2TVoAkCXHWTNRwKyOHD7w5T7M4Gi\nPyuv21WVsO1v774HgD/Lb6F6Ql6XVQ35kboLxVf6qkx9Ad1jDZ751Z8H4Nl7jjMby6rka8evIF4I\nyYtUvYHKsh0rY2vNCoXvwWzOr/zE3wPwa7OP8M7gxXx+STojs0pIZNuR6/OK+onIDRnWGU46AGRl\nWFuV1dLGZUFZoxRC0tREbdsRWSk/wvUThnAkamR0GSELOtL9WESRlCkDY8EAwq5x55BMaBKJypNH\nMnzUKRavlylXoyS9ULzHV+xYGc973Yz3Ss5zdrgIyMISeiXEHJBIjYk0QaHEvbxGYAzXvlOiHmrv\nLtZ/VNJW7X0Bu+4phSpNoFwqTPdS0XS06bY81GXKR2ui9T6VE6l7nVPRNQbiyHX5bRojkuWo/sDV\nYKlGTYQdAaLQDd0FJGIzUo+TLywRb0grf2dvhbhtJRRaoJOcrOi6O7CDcE1sXnBiDd0fQGIjU/W6\n+5lWR2QDrDhl68YddHZbQeI+xBt5WSeUGKJ1aySLYb82Papq5aBiWh1UlJXvSxxDWl4zFccsvEY6\n5nd+ad5JDJheX67zvAiRXv9bio++7I2yu1jSpaYM0BPZ+rPa0bZsvydfCsF84kbc5O0OweQEgb2+\nphKXMgaZLbew56e6A3deUddQeWAeivTvOEaixtx+bRsn6v+55bMAvD/6aTaqTSpL8iltHi2/FNOq\nIquW+fdwYIoJCaBkOnrhNOSRjAeBsm6m+KLNR+Q5SGV7RRqp0sqo2td1hprBdCkXUNkodanSikw1\nj+y9HIxoFaU1mXNXOFxpHfoH5Yl/c93nAMhs3v7dz/0if3Di1XIKuTh1RdpsVAsqGEDzkCZZkeLR\nb31/krBtzy+F2kBSfnJ+xo1d0UOFTssJ7PWDG/za7CNuuw9tzNF4OHL7qC3ZAspIESTGOSB5UKqJ\nq1ykJtp7Czn1kctZU3QOGOrz8sfKiilrojL5vdDyyiulPpdODSorw9/5iIOlM4NOQFnHLOyVtVuu\n2Lz4TPTKxoOkodEJ1OyxDLKQ0bd+XHgaW4Q9TwMmSVGAXhTJAdWowYr8bLIcwtDJIdDuMv0NKdie\n/nqGadTczDzdT8uWfEClmXNytFals1WJ0OtdKEaDxDGmZldUUUg2O4kuvrzrFdTjkgJTRSrLWMOY\npK4mKptqoPLcpZhUb6TWyBLeLdMb6s97RplqzA1ZNWAwUxjmiHjaNq4cC9HdAdmMrQ/LjFsomVAT\nrvcZ7JHr0tuh3T1d2P+isLy6agiWpFYrx9aO2fqptBk7G1J9JIM4xkzJNtXSKiaRc9WTE5h6lR33\n2povpUp9KWOknqqoIzu+yO6vyPmsPWua7q5ykRh3jPs+EtX1gHzjFGNZrr2CpBYRHRbHTPVbqGG1\n3HelDAyw3oJJOeapBzoQBpjVU8/dGwfG3X5tGyfK49nWbEGLsMfj8fxQGGP7tW2cqMC6sve/6E8A\neNX9Ej499qUDNGxRdtQ1qG7p9ZqgnJmWVewQSeuwZ5UyYmVCiRwVqKxM45FL4XdRSJnUtUtN1ZYN\nyYRyKUKjDFEh8tYzbt/yGGUxfCLpJ6eiPWWY2SHh+8fTNpeHTQKbazw6mCa1A4ir8wFRGxJpniGt\nG9eeX11SoMqBxOlUSjIh26gdlxVpMbQymc4xNVm+ZYCej9xqLkkCHrVzCg9GTQ4vzDK1VsoYFMec\nNBVZOtJJZ3BROJ1Cajsei/ehkCowGvKKcQKbeViGerNYOhaLgvSwj0uryjZwUa1gWF6/PABC3HzD\nPBwp2u8ZVF4+1ynYg9zYStHbY1eNrxnRnBgzxjkc7jl3TJJCV9JDKgwwtiNOZTkm0JgiCpSk0noP\nmEgiE3rNdoytraNqtri6WcdUIhelyithOeg2zSX9M6roX6S52l0CrTE2ZK8X10ivv0K2qRXhwobr\n+DLtNvku6arLbJecTooZbsOyPuIk4vmWm81nQttBWNzXuoxgD3bVqB1JUXZ2X16PnNxBsNjC1GJ0\nKsddX8zKDm17XlVbPjDxwHqZWtQasgy9ZsU2o8C9ztSrsLyGdsKfMxJdQ6JNJgpGOopUKScRp3It\ni0HQkxMoG1Wsn2iQ1GJXyhD0c/d9lDUr6Ct2ox+S8W4mSdG7ReU9f/AQ0e6d5XvdqGGOFBHBGAKN\nqtrIVKPuOjT1dx9hNMiTdzqMI+Nsv7aNE/W711wv/wNX31XlkYdEqr8xhKxaOkBBMtJqr3D1Uiqz\nKuBFeDgSMXAo03iuxmYIyrYHB0PbtnqKzlGjZF9D2/iick1WKZVyUaXEwXBiRAG9K05A0Q4b9hTK\nfsr2B2Js/qoj4dq/+dpzqB8J3LGgceMUVEypZm5sDVER4u4HBIMRZfNMufolNVDoXpETlGHELi33\nvQnet080nf7l7n8iW49c2hHKDsbhhGg2Fc5R1Aa1VF6XtFbWfAUjHYwqh/rRMtyNAeVKKcwmTSyj\nSyctD8VZsrOJ0VnZQakzcYKLNGzSVE5rKuoYMa6FCHqknAEP+4bBjHbXc2wxIxIbnouW0S843Wi4\nsS8mCp0jYAJNPlEnmywTy6ltrdepIVrpuzEixJGklgpUWeuUxwGBlVAIFtdkwTDRcPtztU2VmHSq\n6nSOgkFC8LAVeU5TUcq2o13SZx5k/WrrtGlozKfUDku+XfUGrpPN2BS8asr+VLdPYJW/k7k6YS8r\nF06VsvvQnYY9p6DVR6/ajrg8J59ukDStplRFO9setTPCXkawLiunvBnTu1lqmeoPLWPmF+GEGKcw\njkin5RwGeyfQOxrER0QZXJ1YhtzWf1WrMNVEt+1qbJhgijRc4ZxGtiNufcM5WPFyj2hXRP2IlYXo\nJqTTVksr0CSTIZVdIjWh5hc3RWhMGKC6Vqpg0EZZB8tUY37wrlmqJ8TYX/b5Fq2DDXvuO6l98X7G\nmjG3X9vGiRrlOyt7iVbkpqwuGbcCQYmhGR37klstqDTT0mpf1O0kZbG4CcX5CEa+sEP7ZR72JTLi\nanGCUstj2FBkMQzmbFSnqp3jolIl+kSFo5aVEbK8gjg19ttc5dDpyQ1ZRKDu7V4uv7d1OatvCrKK\nIY8KsUjlCr3TutR5FU5HvKY3RYkoF05kdUPQtr9Yp6wogM8i6NuQ2ZsbbX7zwDrDQzvsuSvidev4\ndaF1EJJmIS+h6e4pCruNRM/syVcXNJE1rL3dhsqyck4VlBEknYrjWVuR66kHhmTCipBOK/pzitqi\njbSZEZ0tIzVnxfvJSMSqEFItHKw8UgykNpWkmRNe3uLzL/gwAO/49y9hbBnjlZzn3FFB4FrrdaNG\n5wYpMq8uyd+6u4uuE0NtSQxAtNhFr7fdlzhB4CJKAEZrJ3mg09xJBZhOVxyaIvrUH7h5eNSq5Lsa\nDKflBonjOVfoTZJiJmt0dorT0dsZusWgTozUURY1WWmK6ZZaRmiN2SvOQjJVIX5E5szpiQpZPZTo\nGBANKaNNgwzVHRl5Ywwk5arKBIq0WmryFdHlrBaI2LAt/E7m6s5upDsnCBeXXfE4w4TeHjsDryJa\nWoNZufb1Yz2C4+JQmcFQzs0Wfm8SscwNBAHGSkEQR+T2Z70YMLvWxtiI0vKL9rjFcm0pQac5/Stl\n/9VAY46L6KiKQvm5MNJzs7As0S12znL9h446B9l0ekzeP4YF5GdijO3XtnSiPJ7txjiHwz0ej+dM\njLP92pZO1Mev/xPeG74FgEe5DPWgeO/VtZw8VCQ1K+Q2HEnDGUnbFWFFleO847QqacAikjEqcaAT\nI1O7bZeXyspoj85EELLoPInayskPZBXZx+z35cnBIOfELYUKsRxLMBIp+omrvr/pHCdsaCir5+RW\nGkHZaFbUsq29PRH1BMhqcjxOwiEsz+HkUKrKVVk3piQVV0TvhpfB82Yec8/95i238fLqmwFY/MI+\nGa1jt7nzmzlVOxn+8KsqJJfJas2kUp8VLtsVpZK2X4Cgpzalz4wqOwODDtRGRigALvLVuiyWyGJY\nXF/lIljBwLhhwgCVkUHQw4aiv1PRPSAX4Tk3P8yfX/159/it+27mHYxxBAokHJ6PsRXynDNORgDI\nF5dpFEN3JxuYx44w9bika/J9O52CN8urmF07yItOLV2WK5DmMCJ5oAYZqm0jUYDp9crBuyYvB+s2\naoQbA/TQbjM3JDMSeUobId1dEW97/x0A3Fg9wvt+610AVNaNiOQWNUT9/qZzUgf20N0r55BVNdGS\n/Bxu9DFxvRTb7KcEbTk/lRmpBSu2oxRmymqVGEN4dIVmIqnFwVzNDSMeTmjpCLaRsLQRuBpXE+hN\ntVrm+AITNpWZztR56K1Vvv5THwLgJ9//60xaWx4ud0TCwUagnCAnoJQqRUCxWYdiHE6Wsf6Cyzj6\nepsWDAfU75d03uRDfQY76wymbd2TmqJq30u90RWRU3vuKstJnyEpyfDEurx3RVRs5FhgfOugHGNu\nv7alE3Vd1OBj134GgLel/xsLyV4AzONaJocXStZhqTmUxYrBjKK/s3iQski5L1/sxRe9CctaH4DB\npGYo9y7No8aNU8gDUb8uiqR1MrpNGU2zel3oHiva7pWxc+bsc7PXrvK7++7adI5/+ugtcq6f7HD0\n5baSPAKMOD0gkgOFU2H0SC0Ymx0nbcesFMcZryjSelGAnpEthaVzZODLi9fIL3Pi2P3Ds/4KgA/u\nuZ5Pf+aVANSPG4YTmqRh05ADhTluL6ASZ6mYP1jUjgFUVmy9WFFsWS2PM+rmBIOR+qVQkcfF9Hc5\nVyd/EIlUA4hjGa8rNwLHBJT1XznUFg1RR/7wjfggt/74zVx0jK8N8jxFVBCMFI8HmOuudMXPZKas\nm5mZ2vS6YmQLgBoMMY0aWV3uwSDJXPpHVSviREWFgSudKJUbdHdIsGKNyjDBTE/YY2kw+WiPv/pV\nkVi5bSZkwqqgRxtDgs7QaSflo5pR9jzShty77/rgX/DH73yDvO74GkE3RtmFIUYKrgGC9gC90d+U\nrtz0sQ8Dgnm5ycNaxHDK1pQVNTe2OD+tavelncd6k8MDYB4/JttYqHDDhyZ42x+/G4DptIXu2+cu\nr5L3Njsr7vWn/Kt9rNvj5vffw9Fv3gTAlbdpwpYYV5UZVJoTDOyUiYkAE4pzWY0CdDV2jq4xhmBJ\nvjBMHGEmavCwFKSrWpVsafkMRzGGjLH92pZOlMeznVCMdzjc4/F4Tse4269t6UT99EOv4VvfOQhA\ndT50GbvOARlKW1+wLetrKT07/DFpKobTOJFJgHhVVgTxBoQdUw6prZYdXCiFykVJGzaHJfNI2oCj\nVqmi7aaVTyhUVqajwn5ZnF5bTjFKsfN9Imo5ml4qWDksLX9zYb/swMsl4lPIGmQVSJpFzs6myoo6\nTI07nzyQ6ExRPD6cNqSTsoKNVqUoszcnx9Z8DILnnloZ7d/NfZ93/fI3APj5B97KobsO0Dhsz2nB\nuE7EuGXI4jLKpHJcVEqnZlOXXTAwLp1X3GhpTf4wnNBumyaU611IOBQiofKzRBE7e62MQQ+qK8Zt\nfzCtaF1pu48mRtr/LhbMSDTCc2mgNSoswsg5Zk1EHXWake6fZf1q6dJdvV5xxedsNHuQortDdNtK\nIwyTMnKRJNBqw6SkgEwcOvVy02pDFDo1axWXEQ+iBJWkZbRmMHCpqWhFSwG4TWlVH0rdNrO5SfTy\nxqmFIwHd6oGRyNmfzT+3FNtcb8NMk6xiOw6znGCjaA3GDgW2HWpxhCpEQMNAIms2pRX0U2qLVuwy\nNUTH18inJarT3aVHhqafXuVR5uYN0IXURL1GvrRij+Xs1SFNkpbXE7jzC8/hxv8iUSPCsvjfVGIq\nSxAkEnkbTI/Mg7WzE4s0p04y932RNmOqD57A2OihOU2EbGwZc/u1LZ2o++66mtkfFLpDxjkuwylD\nMgn9QruAcNMIET0A0yzEoRRqsaw1CvtGUoFAd05varuN24ZhEV2Pleu2wEgLfWRHkWQxDIv21wzq\nC3k5WXxEh2r1uogPvPvTvHVi9bTn+PLnfA+Af9A3EBU6TT1F1MI5UWmjdECCvqTPiq63rGZGUnrS\n8u8crhwqi/LRqS6Jg1U4PFkNeumIOu5J/PfWdQAcW5sk6JXOZjKheMabRKH4vqP7SNox1SO242dE\nTDeLFWgYFjVSA6gtipEJO/L/0Opb9Wd1OQjaSjhErdJRKlKCwVDOtTjfIClrRfJQkUwo6tdIp8uv\nXf8/+TT7Tnt+48o4K/56zh3nQJ2MHTsS23th/xczwgVxsFS7K5IGxUDgZqOsoVGKvD9AD+0YmO6w\nrKEZfQ1g0hRlu8BMksg+7fGoatW9Tq+1xTmwX4D52robD6OWVsjP4GjkC0tUl6Wrd+2/XE4tK0a5\nVNGPHqNiU2+mXinTjlmGGSao0aHGhXNSiTHaOAdPdwbEVvuJ9TaqWiGZFOMX9nA2OVrpbsokqWrZ\nFmz64mkZO3y5+H8TuqyRKK6ZdEWacqjxyHXQc7Ps/Urm3kfT65X1Z/0ButsnGlhF9mHdpW3jo/Jd\noG1alzBADaxExYoShy87qbj1ImKc7de2dKJUphhOl05Jf7aIOpR1OCBjAIr6JWWkCHz67mIVIKKP\nIG+wzsri6vpSTt+OJUhqyo0cAVvfYz/4WaXYbqH3hNM/Kpy3ooZn9YVD9u6RG+Uz1/8JN8T1Ted0\n6z6p07nzmMzM+8PLvwzAT/ab3P8dkTvQQ00yqYjsJAKdKExQ7M9sctQKiYXRY3H6SL2yVmw4JTP5\nXBRu34DfuOqvNx3bV/qyoQ/Pv5JvL0j92eCRSeot6L1cVqLDxTr33ykOVrozJxgqKjZtHwyMizIV\n4npFcfnUownVRVlZmUBx9GVNJ0egMtyKkhQqa2zWADvpxiyc4GBgxFkDBjOKzoGMf3GFOKWfvv7i\nc6BgvMPhnnPn5DodR6AJDy8xcaiYaaSfWFBcRCSGQxhYR8DWJAXLrfJ1xZf3yc5OnrtWetPtiZhm\nEWFv1MufjYEs23SsRRRERaEbgwKgd82RPipitbohEaH4qCxcBjM7XdRF7Zslmtdgi94LcVEA1R/K\nDLji/KqVTceuOj0nf6DaPSiiVDtnSJsVpy9VXc2I2tZgL6ygmg2GNxyQ52pF5bh1SueXTv8+FOc1\naQvbK3HpiGYZJs9Lp2p2mmOvFZmEfX93gsbnv8upfAYVhZhh4mQbotWNcuZdvYrq9lG2yN7MTJaj\neZZWUYF2zuDYF5KfgnG2X9vSifJ4thWGzWrTHo/Hc7Ew5vZrWzpR/+xVd/E7e+92v1/1WemuCLvK\nSRmATa9Nl+m1YAC5DQCp3I5KQep0slih8iIfbQhtODhpKvJUuUiUznATyTGatCbdeyCt9bUVeaw/\nrenPatfxNz3b5o5n/SkAjyYjk4Mpo1Cn4m+u+xwHH30HAHk7llZfGwkL+mV6K4slvefGqVQMyl6H\nIFNktfJDnFUM2uYnB7M5eTUnmJYV2auufpCX1zavo15sBe6+P/N9HlgVFd0XvOwe/v4bz0Yfta3L\nPeW66mrzmqhdRuWgHARsArneFZuirKwM6O+U8P3a1RHNozn9WbsyTUvZAoCkXkba8gBM0WyklaiW\n231UV8oOyrBrqC4GfP6IRMnmeOC013qcGedwuGcL00MysAAAEBNJREFUKOqXev1NNS+qWhlp+dds\nGvKbZS4CpeIYk6YYO2SYHdNuXMupMCPddIYRJZhez6XXGCanTyEpjZ5okll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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fitted_parameters = BAS_fit_hcp.fitted_parameters\n", "\n", "fig, axs = plt.subplots(2, 2, figsize=[10, 10])\n", "axs = axs.ravel()\n", "\n", "counter = 0\n", "for name, values in fitted_parameters.items():\n", " if values.squeeze().ndim != 2:\n", " continue\n", " cf = axs[counter].imshow(values.squeeze().T, origin=True, interpolation='nearest')\n", " axs[counter].set_title(name)\n", " axs[counter].set_axis_off()\n", " fig.colorbar(cf, ax=axs[counter], shrink=0.8)\n", " counter += 1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that using this very simple model we get some familiar maps, where the Ball model takes the role of extra-axonal and CSF compartments, and the stick takes the intra-axonal compartment. \n", "\n", "Also notice that the maps are not completely smooth (especially lambda_par) as optimization can still fall in a local minima despite the brute force optimization. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fixing Parameters during optimization" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Model parameters are often fixed to a static value to force certain model behaviour. For instance, often parallel diffusivity is fixed to $\\lambda_\\parallel=1.7e-9m^2/s$. In Dmipy, fixing parameters can be easily done by using the model.fit_parameter(parameter_name, value) function." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using parallel processing with 8 workers.\n", "Setup brute2fine optimizer in 0.0931029319763 seconds\n", "Fitting of 8181 voxels complete in 57.9014000893 seconds.\n", "Average of 0.00707754554324 seconds per voxel.\n" ] } ], "source": [ "BAS_mod.set_fixed_parameter('C1Stick_1_lambda_par', 1.7e-9)\n", "\n", "# then just proceed as before\n", "BAS_fit_hcp_fixed = BAS_mod.fit(\n", " scheme_hcp, data_hcp, mask=data_hcp[..., 0]>0)\n", "\n", "fitted_parameters_fixed = BAS_fit_hcp_fixed.fitted_parameters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that fitting was now also twice as fast since lambda_par is now not optimized." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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duVc7mTT04BTZvQ8uxa08qThW+SQiIfA+4Epcv8ZbReQ6X7Soe8xG4A+BF6rq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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(1, 3, figsize=[15, 5])\n", "axs = axs.ravel()\n", "\n", "counter = 0\n", "for name, values in fitted_parameters_fixed.items():\n", " if values.squeeze().ndim != 2:\n", " continue\n", " cf = axs[counter].imshow(values.squeeze().T, origin=True, interpolation='nearest')\n", " axs[counter].set_title(name)\n", " axs[counter].set_axis_off()\n", " fig.colorbar(cf, ax=axs[counter], shrink=0.7)\n", " counter += 1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that nose lambda_par is always set to 1.7e-9, and the other parameters are now optimized while using that constraint. See that lambda_iso and partial_volume are now completely smooth, but will be biased if the parallel diffusivity is not 1.7e-9 in reality." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualizing estimated peak orientations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We visualize the stick orientations (peaks) on the right side of the corpus callosum and use the estimated stick volume fraction as background." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/user/rfick/home/anaconda2/lib/python2.7/site-packages/vtk/util/numpy_support.py:134: FutureWarning: Conversion of the second argument of issubdtype from `complex` to `np.complexfloating` is deprecated. In future, it will be treated as `np.complex128 == np.dtype(complex).type`.\n", " assert not numpy.issubdtype(z.dtype, complex), \\\n" ] } ], "source": [ "from dipy.viz import fvtk\n", "from dipy.viz.actor import slicer\n", "import numpy as np\n", "affine = np.eye(4)\n", "affine[0,3] = -10\n", "affine[1,3] = -10\n", "\n", "volume = BAS_fit_hcp_fixed.fitted_parameters['partial_volume_0']\n", "volume_im = slicer(volume[70:90,0, 70:90, None], interpolation='nearest', affine=affine, opacity=0.7)\n", "\n", "ren = fvtk.ren()\n", "peaks = BAS_fit_hcp_fixed.peaks_cartesian()[70:90, :, 70:90]\n", "peaks_intensities = volume[70:90, :, 70:90, None]\n", "peaks_fvtk = fvtk.peaks(peaks, peaks_intensities, scale=1.)\n", "peaks_fvtk.RotateX(90)\n", "peaks_fvtk.RotateZ(180)\n", "peaks_fvtk.RotateY(180)\n", "fvtk.add(ren, peaks_fvtk)\n", "fvtk.add(ren, volume_im)\n", "fvtk.record(ren=ren, size=[700, 700], out_path='dipy.png')" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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ti8f5p/32Y6Hxpb8PpNMuh46OxmXCjdOmMdHhkuRvptPmGSOBCiwRESmJZU5L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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.image as mpimg\n", "img = mpimg.imread('dipy.png')\n", "plt.figure(figsize=[10, 10])\n", "plt.imshow(img[100:-97, 100:-85])\n", "plt.axis('off');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can see the corpus callosum coming in the from the left and joining the centrum semiovale on the right. The intensity of the background shows volume fraction of the stick, which is also used to scale the size of the peak. Notice the estimated volume fraction is high in the corpus callosum and lower in non-white matter areas. Also notice that Ball and Stick with one compartment cannot estimate crossings, which are expected in the centrum semiovale on the right. Using multiple compartments to model crossings is explored in the Microstructure in Crossings examples." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Estimating Error Metrics: MSE and $R^2$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Whenever you fit a model, it's always wise to check out the error of the model fit. Here we estimate the Mean Squared Error (MSE) and the $R^2$ coefficient of determination. In MSE the lower is better, while $R^2$ has an upper bound of one, which represents a perfect model fit." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/user/rfick/home/anaconda2/lib/python2.7/site-packages/dmipy-0.1.dev0-py2.7.egg/dmipy/core/fitted_modeling_framework.py:211: RuntimeWarning: invalid value encountered in divide\n", "/user/rfick/home/anaconda2/lib/python2.7/site-packages/dmipy-0.1.dev0-py2.7.egg/dmipy/core/fitted_modeling_framework.py:198: RuntimeWarning: invalid value encountered in divide\n" ] }, { "data": { "image/png": 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rEi5PH1SmlPJwRNwHbAKsmED9R9NYuuqOvzQingXcALyllLKs+1BjjDFmYkxR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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mse = BAS_fit_hcp_fixed.mean_squared_error(data_hcp)\n", "R2 = BAS_fit_hcp_fixed.R2_coefficient_of_determination(data_hcp)\n", "\n", "fig, axs = plt.subplots(1, 2, figsize=[15, 15])\n", "cf = axs[0].imshow(mse.squeeze().T, origin=True, vmax=0.02, cmap='Greys_r')\n", "fig.colorbar(cf, ax=axs[0], shrink=0.33)\n", "axs[0].set_title('Mean Squared Error', fontsize=20)\n", "axs[0].set_axis_off()\n", "cf = axs[1].imshow(R2.squeeze().T, origin=True, vmin=0.6, cmap='Greys_r')\n", "fig.colorbar(cf, ax=axs[1], shrink=0.33)\n", "axs[1].set_title('R2 - Coefficient of Determination', fontsize=20);\n", "axs[1].set_axis_off()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ideally, you want the MSE and $R^2$ to show no structure of the underlying data - which would mean the model can at least fit the data equally well everywhere. Instead, in Ball and Stick we can see clearly see the structure of the different brain areas. This means that Ball and Stick model cannot fit the diffusion equally well in all brian areas, and that interpretation of model parameters will be biased when comparing them between these different areas.\n", "\n", "When doing these studies, ALWAYS verify whether differences in estimated parameters reflect actual tissue changes, or only reflect the limitations of the model itself." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "- Behrens, Timothy EJ, et al. \"Characterization and propagation of uncertainty in diffusion‐weighted MR imaging.\" Magnetic resonance in medicine 50.5 (2003): 1077-1088." ] } ], "metadata": { "cite2c": { "citations": { "1647435/VAXS7CUI": { "author": [ { "family": "Behrens", "given": "TEJ" }, { "family": "Woolrich", "given": "MW" }, { "family": "Jenkinson", "given": "M" }, { "family": "Johansen-Berg", "given": "H" }, { "family": "Nunes", "given": "RG" }, { "family": "Clare", "given": "S" }, { "family": "Matthews", "given": "PM" }, { "family": "Brady", "given": "JM" }, { "family": "Smith", "given": "SM" } ], "container-title": "Magnetic resonance in medicine", "id": "1647435/VAXS7CUI", "issue": "5", "issued": { "year": 2003 }, "page": "1077–1088", "page-first": "1077", "title": "Characterization and propagation of uncertainty in diffusion-weighted MR imaging", "type": "article-journal", "volume": "50" } } }, "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.14" } }, "nbformat": 4, "nbformat_minor": 1 }