{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# NODDI-Watson in crossings using MIX optimization" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Estimation of microstructure parameters in crossing tissue configuration is currently still a challenge in microstructure imaging. To tackle this problem, *(Farooq et al. 2016)* proposed a stochastic optimization approach called MIX to fit known microstructure models such as NODDI-Watson *(Zhang et al. 2012)* in crossings, which they refer to NODDIx. In this example, we use MIX to reproduce their example application of NODDIx, whose configuration simply an extension of regular NODDI-Watson with multiple bundles: " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\\begin{align}\n", " E^{\\textrm{NODDIx\n", "}}_{\\textrm{Watson}}= \\underbrace{f_{\\textrm{CSF}}\\overbrace{E_{\\textrm{iso}}(\\cdot|\\lambda_{\\textrm{CSF}})}^{\\textrm{Ball}}}_{\\textrm{CSF}}\n", " +\\sum_{i=1}^{2}\\overbrace{W(\\kappa_i,\\boldsymbol{\\mu}_i)}^{\\textrm{Watson}}\\,*_{\\mathbb{S}^2}\\, \\left[\\underbrace{f_{h,i}\\overbrace{E_{\\textrm{h}}(\\cdot|\\lambda_\\perp^{\\textrm{tort}},\\lambda_\\parallel)}^{\\textrm{Zeppelin}}}_{\\textrm{Hindered Extra-Axonal}}+\\underbrace{f_{r,i}\\overbrace{E_r(\\cdot|\\lambda_\\parallel)}^{\\textrm{Stick}}}_{\\textrm{Intra-Axonal}}\\right].\n", "\\end{align}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "MIX addresses the issue of robustly finding a global minimum for models with many parameters. The approach involves taking multiple optimization steps, which separately optimize the linear parameters (volume fractions) and non-linear parameters (all the others)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Generate NODDIx model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We generate the model the same way as in the previous example - only now we include two instead of one Watson-dispersed bundles. First we import the separate pieces:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from dmipy.signal_models import cylinder_models, gaussian_models\n", "ball = gaussian_models.G1Ball()\n", "stick = cylinder_models.C1Stick()\n", "zeppelin = gaussian_models.G2Zeppelin()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Combine them into one Watson dispersed bundle and set NODDI's parameter links and fixes:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['G2Zeppelin_1_lambda_perp',\n", " 'SD1Watson_1_odi',\n", " 'G2Zeppelin_1_lambda_par',\n", " 'SD1Watson_1_mu',\n", " 'C1Stick_1_lambda_par',\n", " 'partial_volume_0']" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from dmipy.distributions.distribute_models import SD1WatsonDistributed\n", "watson_dispersed_bundle1 = SD1WatsonDistributed(models=[stick, zeppelin])\n", "watson_dispersed_bundle1.parameter_names" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "watson_dispersed_bundle1.set_tortuous_parameter('G2Zeppelin_1_lambda_perp','C1Stick_1_lambda_par','partial_volume_0')\n", "watson_dispersed_bundle1.set_equal_parameter('G2Zeppelin_1_lambda_par', 'C1Stick_1_lambda_par')\n", "watson_dispersed_bundle1.set_fixed_parameter('G2Zeppelin_1_lambda_par', 1.7e-9)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can create a second instance of the first bundle by using the .copy() function." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "watson_dispersed_bundle2 = watson_dispersed_bundle1.copy()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from dmipy.core.modeling_framework import MultiCompartmentModel\n", "NODDIx_mod = MultiCompartmentModel(models=[ball, watson_dispersed_bundle1, watson_dispersed_bundle2])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Visualize the model:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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srKSjoyMnTpyodVka7tWnkLf/zvLy8ujs7EwfH5/bLoRzu2tLS0tpampKV1fX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\n", "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import Image\n", "NODDIx_mod.visualize_model_setup(view=False, cleanup=False)\n", "Image('Model Setup.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As the last step we fix the isotropic diffusivity of the model" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['G1Ball_1_lambda_iso',\n", " 'SD1WatsonDistributed_1_partial_volume_0',\n", " 'SD1WatsonDistributed_1_SD1Watson_1_mu',\n", " 'SD1WatsonDistributed_2_SD1Watson_1_odi',\n", " 'SD1WatsonDistributed_2_partial_volume_0',\n", " 'SD1WatsonDistributed_2_SD1Watson_1_mu',\n", " 'SD1WatsonDistributed_1_SD1Watson_1_odi',\n", " 'partial_volume_0',\n", " 'partial_volume_1',\n", " 'partial_volume_2']" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "NODDIx_mod.parameter_names" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "NODDIx_mod.set_fixed_parameter('G1Ball_1_lambda_iso', 3e-9)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Human Connectome Project Example " ] }, { "cell_type": "code", "execution_count": 8, "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()\n", "sub_image = data_hcp[70:90,: , 70:90]" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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3fLqMzz3uJPD69/fQPxv1j/jrM18lXPPGRwEAD964D9f+AV40SNWHhISEDpKn\ncBm0fQ2PvnGIG25xtegbls7i06uep/Cxfej7qUTZjDorZLvSVmMVXNBsGkmb14x6JCtnoNkq0R3s\nrZtolabQ+ZdFQ19NEWfRxfuw1HXbY0p1WI1rlqnTcWY+l3p+HNqwBuolv1MGys+4tuLBXNzsrSsJ\nuZNBRO8CsPCTZFUTTaxi7nSGtiGPKRE8CFNEnotl6JYrUcd6jUDVl8RtSBDmwPSgO/7pFQizKoqL\nCoPj/kI8uIRHd7lk5IMrVwBjdxBvfsn9GGaOwnzfI4cweNgRQoqNSBgmg4Qk1y/w89f+DgDgu+tv\nx9Y3uwngy3edg3ngYbyQkYzCJdAry6iPOEXUxW7G0bNOhfnExhKUf+Dm+yzIP23EKkxD1pXc0KoR\nHYFmINJmKpdmHlNQeKhUDSy08vth9M+5u68fGw6KGpmKS8p40ev44UG0SbsfU1JoNorDCpOLoVEG\nQcpttpcw3+N2mq8r5L4nSFeMYqM9R3IPKIDJIcLSo0JSinMKASRNStkcIUdgc6k4MEW5iag3gUxk\n1JhQr7YHHeV5phqjx9yFHh+z0Asb9j/1jWQTVqg8Oe3P7rgFg2Pu9epZUcQCu1ZqwP1ea69yFuL1\nNz6M/3jOxZalbnDqpdpfk1WMZ864vFAHz6TwISEhoYPkKXionqOv8pGDuHCzc4+LNYI+7ZY/ZQDt\nk2fDJQkZmj5Frcei/IMoU12NKUwryqYcVnsAyKfy2dDXUERy7CykI7WQ5FzcHSgai+472+MxuYis\ntCsl4FbLIIgSCZ84afaWiBWt5DPG0sPu+AenKCwlqpbKBWtg60q//yvnqMfueu76HKC99+TakyVU\nCUlT7S/YJcevo/CHDICW7k0y7arYBKa5O7ebrj6JB0/uAwD0Pldg5eHGX3MbzrHpqYi4BeQX3Qo/\nOEnon5Vr1JKUmiGFORrNAOg97i723z50M4wXgG2GFsqPsTt/c4ZyzVU08ukU5vwFvNCQjIIHLbug\nuVodBHdaNZDx6pGLPjjJkQyZ7IMVBfKPK5u5D/TPMyrvWttI/kxXkZYBcxjWEj+oJpdx8XrBnWOj\n8MBHkmfRyDZWYlzCMQEAR6rHINieHJs8tI50BbgHUtSNYjZhFKrUwPhR93q+1cf8gDux9es1Ro/5\nDwx10FmImYKXisrGaI0XscT2YA7XJ99iZKfdg/rIcBXqqKsQjY/ZbimxtaHkHm7ADYnJN2NCl1zD\n1nCrSo4pmyLkTVTDQf9iYRXqJXcC9TKwdp27oHtPrAAvQKOQwoeEhIQOkqcAhCnQgFuhqyVxp9sp\nTmS6akUthTaWIWdFYTJSZza2ba4YAAAgAElEQVRBNCg1tsJMCHLsrRoQcEmmvUGHky9TkgBE05Au\nuyqy7KezMkeiJtVYKNXEQhDKphxeP2n1Lttjlv6IfGJdJQbOc+md99TmXLwtMggJxXwaC5xQR3Al\nnlgVC7fqePK0v5B6wdjjxzWY+0bSaaoR7ZNEbzInzPf6xOfYQC/cwZkewcza4xTOCLH0m3AWta6X\ncszZFKhcVz2aAxXWlPNclh7bhSzqwXihIBkFuLZXGjvDsNidh5tGTylk112LsXvtDEFMUpLX7cPW\n9JWMQgM6aketilHvYpxHEBc6m3E0W4FDizRrKU/aPBJTHQujUVcM65/ibCEutImrFUAYlMJaDJ/N\notbvGh1WYuvGZ1Hrcbx9PrXhfFlnoW8im0n1IZ9xyG2YUnUsZBsOxNeZLEBKzr2JJNjipqy4qSv8\nFhS/Jsx3uS/bOkxoxi5JoLd0aIHPpozGh1H1SKFYb0MzBsq23As0Y389SlGRVhWgK18ibQjNHvdj\nXLyhwN4/xwsOKXxISEjoIHkKACjL0OxzicbZKiFfb5NPUqNmJe6iKQGbe07BojsxKUiqR1LrTpI8\nCkn86mpyERSxmVQKnOCKvB/PhpBeBtl/viUuPatYa5CAyEOJJyy1FQsmeb/YZJQbUa+EFle5nXDV\nWzPB+5js0+F7iw0G+WPrn2uQzeSL23NRUaKUI/6FqrmTEJUpTzHvQxKcTIhHYAS47kmhV7fekF5I\nKJdvAsW6u+31nEMVJ/6uZiB09WzSFdRtPTLWCFUJZYDyfBvK5ah2uws0PUhQL3cS8vYzn3vyAW9T\nJKMAgHolmpFXYR6Jm21zcfs1X6KYfJmbMgxbQTebzZmwCWOCEKtI40BfopsQwpN4dBp3wpb2C5wL\nLccR2rqNPJAmpygDTxIyRIamd9Gi8PJqNiPXbAQXXrQDabItE0KAaqxC6Y6ivvH+uQa9c5U/L4pG\nvBGagQ7HH5cGW7ACOMqnMIkRjKXZQp7FRufbdAfhyDRqQm/N7XR4uhsGtoZjsZuCodQVkHvjWGwx\n2DdKNSWhHgs5LdbUCL9FTjCejdoMGPNDLt4oPoMXDFL4kJCQ0EHyFABQUQTxz3iwKll0dBM5aApG\nlYVc3E5dS7acqDv+rIWuuoNYY7c/cAGs6CaS4cBTUKY7cDUQe5iDK8uRQIibtnQZb4KA0islqZqF\nWxENvLVah05H1iK4YnOFesnrVjZAueZDmIlFsV7LNiO5tVoPyhYqUJgd1dq/zqXvw63A4ulcKlxz\nKUyB4BJoFu9MV4BMgpLtOeoKZSXEs2wLUJ7rkU8Zg/NtOUemTpFFSEDaHMFrsLqrtcleL1PPCdlW\nxFR7gSAZBQA87IdSIiyQtb9jNIDESa2513pOkVSZkIjmq+J46YWLswGXmc/D6DRhQ9qoSSl2j1nJ\n+zbvknyC22zEuJCRG58YnTxFKMtFYQKIglZCNhfxVbfvtqxow4Naj7IgD7d1RYbpfrfN4BSjf8Eb\nl4bF74xCq3qkgnF0ylHtRZdjLuYWsbxai6Yn8yx0JcaRWQhg4K4mRXDpKxvmVnbUqCJ5OLIcKgj5\n1HZKtjYSdG0rL6qRBrBqiQKjsVph2EIsvV1xN5A6E1FNX0BI4UNCQkIHO9pTUAPPd82zsBroCh1X\nvCXeqFoy9pqcvh/gPIj5IV/33tTonfWuZiTyaXoqaBzGg15dFUDq6mGq0oxFrIWi/gIlrc2mFI8j\nW8gq2luPNd27Cbmg0WicKw8AdUTsATOU8VOnKFJDqjlMo8qnHEbgles2eBxkOLQVOy9AqNwdIZn2\n2kYkK4o6KVkTFstKjiHqKI1VrZqIQMWhtyLqlbCRZxQlaB0JTcbMUTvDYhFpNOYUKOdNj8JovPb3\nAVxVqlr21ZYb17DUc52RmbK4eZdTYfqTv771KadvbWfsaKPQgosMC68sVI27nP8AQhgcYjMxENWS\nhRq4O50nukNACvuP3Omm3212akt98aAU05PwwQ1lEXZdyFNEoqdgecCaaEiMrrtlPBVJiQViT0nh\ngadoHgTnIhKrFzb0HTAhqEItljVWHpFQxfQjQlFUUo0f5pYd2PRUqBqoGuGBbEoVzY+QXIk7bn8M\nnTFzYjhiPYjOAJtMBtvomQFnLQWVAyvU5lJ1MrkQonQd7ycqkdYyPm/z9Aib7FlNDGxc4WKMYu8U\na9e7ppddH8MLBil8SEhI6GBHewpcu2XIjsqQQIqnG7uOQ/faZgiJJbKSYbbLDfQp9+HBSYV8sw0B\nJIuuK/a1bD+l2bvlJoeEADNJkXc6EXPuuNkmrsNHnIWYKKUbed0eQzVS4bzKDUDbJyc4m4FGM3Qb\nqYqRzdzyutgl4dXmEQV+leN+b54YIp96IZPH61ChcAk5cddbLsD6DcDo1vPh+Dc+5cRsVh6yUBNJ\nyrZJXzLd6kxQbYrCEygCRXTsFnpuRUUqi+fSiQfEGTqhXKCTR9yQlkfi9kNoeu21peA99R/PRQXL\nANVjbhxYddMc517tfteVB28FffyuJx3ndsSONgpq5PodmlyFKca45P4SAgywuM6lqrPcgP0fDu3e\nwKl118Mft9myAsxl+iPimQLKCNlGmchVpm6WXOJnMVhxcxRYsuXaSnzuYmP3/tpLgF03uQfy9NoQ\n5edcUmT350zU/szSKq79vEq///Yh6Z9l2D9rZyswii0vKpsRVKvZoAhk3PfOVjNc+Cp33b7/5R/F\n9eVpdzxmgJ964O1Puj7ZzAZDxkpCm06buY3Fb/0oOLSNZE82EDGRrOlH4QlHzU6FAuVtyMChPFyN\nJSTUlbA89SJiN2boEqvaismpEs2yO+jJFT2MnnRk2xMpfEhISOhgR3sKWHWjoM/f0sPG9c6il+d0\nmO9AhqEXwofnqbtcNWlQ6ZaPk6dXwgDSmPgU1+qZIgrtQiY+O0KUe9/khDxSR2pX+5ie3Nm+kPd1\nxUCQQucOx6GtSmRXbeFdNzuh0VPNMv7r4dcCAO5evQZLDzkCxvIjdZjsZAsVOP/KMEpP2hmeMoHs\nxCTeRL4lWdm6r3HuZe5aXfnmx/GdB53b3KMac3bf9e/ufgtW75Ssfvu9HE+atoy6L95KG8LYnDor\nc+v2m5IkwRtpQKqGgdAnYiNeg0K7LppS6OfVSJK18XWOR+/pSngrNpfOV1NImJNvEci7Im1V54WA\nHW0U7LIrSdoCUFUUq7esOxLiUL4J9P/G/cCmjARXDUK+QC8ulVrrSqABzjUNo98gZTM9s10tgEgA\nNpCI+qqT74hzFjYeMFO1Lq7oAuSfHuNHl78BAPD2K+7C1+1zD+rXfPXdeM+JVwMAHr7nCiw/4O70\n8fEGpe9fqJdy6SmIypyAhEKbV5bYOuzeH77+LL7m4EMAgG9c+TQeqNx4tZeUJ/HvT3wVAKD8+Bjt\nk5dPDJq2zyJqXqKIpFRHQ3E4Gt9WblhhZBqC8UbE/b0tbSLkcWwWEZN6CMYultJrCU2Aqw7p+ZMf\naNNT4Zhqog6RLLTJs1SwFksKSwfcdWhOnX7S/rYTUviQkJDQwY72FKpVl2ybXGmDW64XwrcvInHU\nWN0onzAKr9XH1BUjCeBLxFfaLskiVmoCQnfdWCP3nYjUMAhtDZ9Qjb2ak5Ewwc10iDj8VlzooGto\nxZXd/dkG5/RBAMCj3/gEbhvLTMjvuOITAIDT+5fxiVdeCwC458RB0MMuEbtyP9A/73bkwhGhAE8O\nevGSaxvcdJOTNP+2Q59Ej5zLNFYVet59erA6gLv+8CYAwJ6HmhBiVSMtPRFRgrXYtMFFz6c2VDEo\n4mXYjDDdm4X3Wy+gHqLjtXW1Lf1bBkFQVy8Y2VT4IPE1tLvd0p8tRPyGKaJak3iXs31R3GhdCAEA\ngzM1uG6luyj0ZWxH7GijMN3nTn9w3To2z7sHwF4sAjPvUvLS5dxC3UjIECYn+21aJR8nKxZVGaKb\nMow8L4HKNxH1LoqKkRvZ3lYuur0S2jPzTE5hpgKxhCe6YmTzVkiWMXrCffZDj9+IA9e7suL1vVOI\nGfpfu/duAMA/3HcXzr7UVRn+0+1fidU73LFtHtEdEhHf5hIwN+26iIdOORXjHzv5dTAbbq/lGY1s\n4o6n2GDsfbxlgEmFhSwHQVeOSob1QCFr5zVkhHLTt2yPuo1VQZfBcAi1srnkHZo+hJhURMSwOEdT\nyjyOZiBEplgUt7LdxqfAwiTJZfTPsPs83KAa094zhJDXoCwH160K7fbDjjYKCX83nBjtwj0/8wPd\nN3/mi/+9Jwe7vvhfkhCwY42CGo9RbLZTgxpM+849pqYIakvNQFprWUVc/Uhe3WgKHgFZ4cebgkKt\nW89kRbKZUHRtLC6qJWyZ7ZFeiZhv39EizGU4ra44ElbhkFRreuTUlwDYnJH7mn//D5bwa1e/2W1/\n8yaU5z9P1/tQuQ9hFLBnl4uRsg13PP/obT+CtRtUCEkGpxhnb3P/uOmG43jwr68CAIyPAuMn3H6K\ntSqMwOOMoD0hyhYyf6EZqNBnYSLatY2Uqdxv0HIZpNfDTakyYT9tm3PTk+ucTz1RDEAzBBZLUikI\n+9ZANpWQIfNU98VuRD0RHKjNXEtvi2oiAd5KfmsyAPvvqIca0C+MFN6OMwqUu19Jre4KsfrWrMR1\n+88BAB4+eSX6p0VbIYwkh2Tate3eUNLwE21r0Cklxm6/6C9EugwZofEzJg0hhDD1kMJYumwhoQEZ\nlrg3IkTFbDxlgNwrKbnSnTcKZy12fc4/eB/OgxrSfEVj67A7Mb0Ami0/v2DNivrzzVMYX5pdeVDj\n4J+7zx594mqUngDWv2DFRc+UGLN4jJ2m0JikahGkbf8GeJ2C1hAshOmoFyIb1/QJTV+qDLF2QtvI\nBMh1VhVDtYSx2o0GBIB6JHMcVOWOCQDKC8DWEck1tEpQWhGakf/svhr6orsm/dMKtRcHr1YN9FbL\nzmRQ3+WwaFFt6/DhhWG6EhISnjPsOE9BDZ21bg6sYPOws4nzk0M8Uvkk3zWb2Fpy/AW9lqFYl+Rh\nS4WORTuYKCSikIt3oKNat6MJS79DSBxy17tok1XT/YSZY05jcDLyFKZWFKLQDSfaWn3TV4E/pSvh\nPuiFgZ64JB8x0AzdQZtCpOh7F0ykp4gw/6Ja0jLzAoDquYOuxrkoF00hIc/CikJUROjSsybqMpRR\nbtnEdFZ7GyXn2nOphip0qapG5lnohXAWbDS8Vxlg7idlL3YRijW5zkH2vudWcwDQ4xrNxFcxFgr1\nit//VKG84K9J4UIIAGhGDOOFVXbt2cQ/ee1HAQB/dv4m3H3iEAAgB1ANnOe1ebjA0n3uvqLNTWxn\n7DijAO0JSL0stEhnD2uo+90PtnmNxVUvc/3wzWGFixNnRFZH07CLUxeWYE+494sLkqkGRS4rSWtt\nuS6MwDhOZk3B1ZzvJjQDX4Y0Et8CUqHQpYqk2SSvAZLRcqwQKQURdNRoZQbOEOh5A1W5h8GUKsT5\neS1sxXqsMT2Q+eMExn70W/7BPgZn3fb901uYHnLXYb6ayfTtuQ15DTCgFj6PUOpg1LKpCdWTZpgh\n32rnQchAHWLJ/IMlL0AmyqdEDE5TRuxP+BkVAKaHLCqfqxycUJJfGDPIhwlmM8dgr7shbthzDkeG\nbtzbWt3HX953o/vsgwWoVeUmWRgunhvjXVtvAQDs372B5ZH74rWNAW651olP3GuuxMGP+tBVxxLb\n2w8pfEhISOhgx3kK5NWWpvuLy4qglucUHnvE+e79PVOM+i5meOnuk1jxon8PDffiU5NrAAD6VBG0\nAN0XuP8tdgHVLrdszfcgjIVz8wLc6133M0rv1q7fwDBjvwIfyztCL/EQ27aCoGr23P1WUCSqRLR6\nkErmU6iaoRq/Mg/yDpW4/Wxd5rL9grH8iF+9C0I+ca/Xrteolto5cP3glYyOm1CVaNWY3PkS2B+n\nzWQAL1iqJCDC3BOE4kpK06Mwl6HpiYeVTW2gRceUcLCEYLZGNJBWYfMlLvaY3FJBn3bZ43ydMDiu\nw/WZXOHijbuu6GP1ZvcD5GRBE7eNfdUmrtnjOk03Fj00vh1yUWc4uOR4HyvFDK/f5SjeNWvcvelG\ncd9rCM3YeQp5VQfVLzuNb57tgR1nFHjJ+evZ3KLYaNlvkhdQDdB/ws8XPDvGmnYEng81e8I+VEVY\n9k1TxSaHGzGeO9g7j8D24y9fw8LPLOTHhtB1m12PWpLPEMzFlrko77MWF7ozgKTmEN8yUSD5XCr6\nGiTJgMCiU7UVdWYguPSqlrFuzVCHgF41HGZATK6rUa64hMnFbIzeeZ+PWDPIfFNUa1gA3+DUqhhF\nDV8gAvkmoXy9Amv3wFRj3TGCocJipMQYi9PG27hZntF183d3NmXs/bj7x3y3aB/km8JQzBaM4Rn3\nvv2Mxqc/83IAwOYrFhhe6XIAt11xFKveWv/un7we9oi7Dl/zJfeE9//i9I34mbvf6va5pkNkOT5D\noMYLug4H4OkM2xUpfEhISOhgx3kKOOMSSNnBEZrDwplvJyaZEmGoLDUyyo2F8o+OEkvEw9eVBbUD\nYyOFpMnjS+ifcvZ3eFKESchIYrK8ILs0PZFCJ4vgQsdaj1ZTaBmOB96CcfnJ1znB5nK+7Yi3mL/A\nRMGDoEYo0i6R6Y//kRw2d65L/ywHjckn8TJaXcloRScjUu621EGUpRkV4Xj0goNwK1nhBYDQSZrG\nVZvWg8gWDOtf10NJAFfLBN8Bj+EJRjERr6q9zrEorq4YoxNtwrXE1jXuwx964BXon/bh0owxepWL\n/X7u0KfwgydfBQB47NG9KM45d7HYoFCF0guZnYE8B3mPBhsb2G7YcUbBHnH5glOvKzG72lmC4YMF\ncv/bFOscDARf4kcFppqFNNgYmYPYROXCuPFp/KjC0N9kxaaMXTOFctRBuLCl9gai6UdDUC4pW7Z5\nhPgByybysHCnP4IvibdbIlP0vpWcAlkGQ163ZUhbUDAQo2NiyFTUBq4XVvQLLAfylc2V9B305XZz\nn8vlez3brzPnQkXXuebg11ItJUnTE2FbbRjcXs/ajwAEUI85zHe0RYbhca8BMZX9IBrww0oUq8qL\nCEaQLIWydDMgnDjn6pa/t7WEvzc6CgB439ZrQhOUqiMyFbvQBQCKUR+4kMhLCQkJLxDsOE9BTZ2F\nHj/GsJlLbrESUVYn7CkuazydqV05dc0yCZpk+7hPgZW4r6oSohErGbLqhEBbHr6oM9kC4bPxLAOb\nU+jXyCYmqB6ZngpZfV0JKQgRvVpVVnQiC+l0jKdL64UNbrwtVXeVbslChfRrZIuuJmLT02GfnWse\nhRAtP4J1hnrsw5mGQ8dkLEKbzRGSo06dyX1WLQxMT27dQAzrUVBAanqSPG76DOQSCoUwkBFdB3lf\nNdJtCaZAYMsmjOGZNvQA9MxxNH74kW/D1bcdc9dtqYF6wv2Q2ZQjr0o8z2ZlgOxcxKbaZthxRgGN\nb57pI4r3hK0Yi6aanlQT9ALI/fRhE7m4uhZ1I1VxaJ9u+tJmS1YUmW0hrilZeWCspsC9d6Po3Paq\nFk2ETla+rzpVg6CGxAg3dzz4RBkLti2pKWYukjyQWouKkRXDF8PNbnSv8y0jjWGFCn4nK6EiBoKV\nv7bGG45guABXXowqHe0JqJpR+zZkR/ryF7SvQx7ElKozabrYkh6TkI7YD4z3uOrA7ELeSQm1xxdP\nDLcZySCf0hkDAOhfiGdtEvrnvSFeEB5vjrjvj9S3TSGKzzaX/o7eIENebt+Rcil8SEhI6GDHeQrk\nPQW9QGiRjhWKshlL5t9Edf54BWYgn7U1f6ntuzFwbcJMyDPZDN3kmUdcHWj63bkSbR9BNufIne7K\nt8fiorFQrEi227Ciko0SdZZB05Z6nIURck2kg5hPmuhcpNPR5BSum+uJiFbmSJo9lmkn21YoGM1Q\nbrkwhWkh1ZB6pDrTt8PKH43bc0SsmFIt4q4trBaxluICYXrAXVw7tCGp6QRs/DVUJJqaLL+dJpkY\nhmi6tyIEV8T0FJqh/422CDpM644mZRGhGba9JBl62falOu84o8A9d0c3fcCU7Q1H4NbNyyIZNS2Z\nebDkDMhKWOEmOz95PkKxwWJoFtwpJ4ZQIidUo/ZGocDJz7dEULTYtNHxEFhdprIQNR25bfxrpUTt\nx6JTbqRcWnpbw5FFD1UdPby6sqhHOlyTNm63WqN3UeYytOerGgZ59qRihNecqfBaNxyMSDPQIc+S\nzTka00YdA9EeZ0zIIu7mMIIhmER5jBqge138v9htUS27bfJJdz+hn2Iu07SdapbbpthoQshmc4WF\n3898D2D6noi1qSNFKUSt7nJtiRm8NcF2RQofEhISOthxnoL1nsL6DQy77Je2s7nw8CHJIdbCTYgF\nP4FuGNBWEADZprduQ1jhWnqlytC+dt6Kz2zPxe0vNqM6fEmBCGVKQla021sJSbQkylRnMjJ1OAh6\nIcKwYfJVpjrkq7aFGSSUaqslOTrfQ5jtd188fEJBn4lXZKl0hOtECNeWWKZXk7GhfZsVCb16oML5\nZguOKjgW2SSaNhsN5CXbzm5Q4JYSTkJIYw2Z5WEVGk8cqgcyWZssg/z3NiUCwQyRh9UMNOYrzo1Z\n7CIsfOflYp+Iqei5XIemHyWkKw73VXm+RhJu3UYw7Y2YM2jmm3CmFJqa8k2JY+NxZk6d2b20GZC1\nvf1G3ncj25/s3sdqSGQQblyQGBFbxHoNYmiyuagGZ9FMhPb7AEBPug9hIC8ZCg+kzX04AUBbC1X7\n0mDk3ttScgSspD2ZMhmCYnPAlu33qWDgiGUwjClVmJWgDEu79MyEvgg7zML+bSbqSTYTBqeqJZQA\nEPIRpq9lErcRpmA8j8JmktdQjeRB9ByY73HHtnWY0D8j1zk0UBHC/Mksmu5d9xVmez0haiS/1/Ax\nDe1bGfQiOmZCaI1XNaF/3reon9mETeFDQkLCCwU7zlNoXejhYzqsHtkEUUJLRE1sjsAdYEKYC6Ci\nKUAmEnTV0YBTW3T7EVp+vppbtLaYFYHLdlWMxVcgJKWZuNDxTARwdAylUH1tTuBGVtom0h1sOQim\nL8uvWjRAFk9Skq9oQxuTi6Q6LKAW0faXQTyclqYGKiRWhRBFhkHt9Ymmb6ta+kZYye+iDCPbcEuz\nneVoonOolt3BLZZIqjYLDr9j3DHJCjBL7sfYfdMaLnzWdb8OnyBk/kCzqVyHpifJzmwhre66kt8r\n5pLkU9sZb8ej9hiB5Ud96DRfgLzQynYMInacUVBrzm3rnxu5eQDwrnL7QxYi1nrp+PN24AcaSLZf\nUcjwO5fbv38J8SfOkIfxZAuIe59Jr0E+lUy+U3MS3YRW1yCbGDEWpUxSzjeNuNPx2PqMRAcBCMds\n+mXH7W7LkOiEIRyM2sZ1CtjjHs7s4T56F5tw7iFPoaVEyhmBWrblvAmVmnqci9EpVGf0ezBehZIc\nB7Jo3JsW49JEcyhJhWoOWSnxmkJi+6YPZCOvrTAvRGaOJRwwBcLvohdxvsaGbXhNpN+yGYe+kmag\nRTnKuHGD7f7D72E5KIBtR6TwISEhoYMd5ymgcEv54EyDjSN+ivQoap2O+g5UJauHXnB4rRpx6RlR\nz0PkC6qGuyt12yuRRZTahXyWVSw6Kvt3JCUh+bR6iqxc5QBwBB6KstlUtdtz4BvUQyWCIhMDPff7\nyVToLLS59FA4Ulb7XRQ8iH13ANX9bgkuNxrkG9LtF4vBBhp1TjCl74loJLyixsL6iVgml8pLfB11\ntDKDYhUpG143A9WpsBQ+f2cz6YmwOYJXCADZA678oLaA0ZaEJ4EQFc1uyOYckqZk5drGVRXWwGKX\nF3FZVpjvbT0gIT71z1j0zrZsNg3axjMgdpxRsIVvwjEy3qtaZuSbkkUPD38NefjjwS3R7Ia4r8G1\n+raGoHszhaamQpiIqolGyHEksFqqMDfRFMDwjM9ab0ho4I7PP8CV9CDYnpbGp1xHZU4b3HXOFKpd\nOhxzW8ZUDSOb+bgl6gUgI2QnvbAYtjMvDcOWbQWnQX7BNZOoYY56yRkIS1E+AgD5qofKhbnYXiN3\nTtwJDUJZt5BKh6o5VE/IKNiQ+yAxfDOGakSXoX3KWQH5OX+tIsNBi7iNOqr4zKwQ2EgqKaboCsy2\nRme6n7DY541pz2DhK1yLFQVVO2M6NsvQm1vYrti+5iohIeF5wY7zFFozuNiVydSgWhJjagFJIlK3\nZ6Gdg8BEIfHmplT7FSxaXVVNoHa6FIsYaYezEHkQTgGpzX6LgEqsOMRKugtZC48gm1JHLFWOQdzs\nmMjExCg26nAuYZYEkSggrUeDKzIVQol6XKAei9ipioRYKYQ5BqZpwxZEycIcxdqTeRBWE/JFW22R\n83D8hbbVVPbTDKP+CMPQcwnfwspvEGTjyRDIX2gb5ff0PEoiRoQuglSUqrEWD0tFvRKFVKaavmwP\nAtSsbWk3uO3V9wMAlvI5/nj/y9x3/bc+lo5u30TjjjMKzdg9qSYn1E6TFYvDFWjqfqTeKR3mBagG\nnQe4LUGZUh7suCc/LhmaAh2jE+unhhuaJKvPkMpFNrMo1p0bbwsV+gJU5E4zR+FDzaHM6HQfhHwV\nz6QQubE4gBeYHoEa/11zHbQnwCzzIJU8eKwg7dKZikInAbEQtFgjhBuXtlS3BqIe6WgqNEnVxiKo\nP5kiapfOqNMrIQ1aEg7kW9F1jgxrLABrMynBMiG0bDclRQpOgOm3bEUxgkyA3eWMbG9UwU786L3C\n4FPHXEt1c2KAwisyVSOABlGSY5shhQ8JCQkd7DhPoZ1WtHmEsO+1JwEApy6OQccdHzUWXHE0Z/ea\nrAh7qgrRlGeRYG96BNNyH7Sbygy4DPZs1YcYTbxyqkAf1gsrFYeMoCPXIp6A1FYTXA8Fwj7bVdR1\nGco+gyir0oFnYQolLdVgyd43XW5C4F9EVRQVVRBcb0gUUs0qv70On80mkXZjw9BT7wGVOhKwkVWX\nDETfsaTQa1APKVDIe6RU5kwAABjdSURBVBdlLB3r7rGFEI6FG6IMR+GAJD5jKX1lAJqLh1INW06E\neHC6Eo/GVabktTrjPdCyRO6l913o57bpbTn9TwAYnG1gx+5Gya68As0Tx7GdsOOMQttI0z/LmPu4\n90sPH8Mn1q8H4PQFson82HmUJA43RC1EI71gzPa4O6taRof3LhOrKbimqhJXFlE4EOcXAGCx2x3b\nZJ9G5ecaml5kKKqo2WYBDE4LaScWQQ1SaBQTqmQ/rZYC0FZYJGeB0s+qyHUofzYD3VF8Eo0D44wB\ngGaldHMjAD+voXXRCTyWsmV7/G4+RXuY0bFlFPI47rvd682RzLYs12ReZqf3QYvYLEXhiSkoVBZc\nb4V7f7GkgpEqN2wobZKV8NBmFJrEiKWKFBOl4nAyvtSqEiHZea3RO+m/rImavLYJUviQkJDQwY7z\nFKoVt1KpGljfci7czYdPInu5W74fXt+D9akfmjrPYR70k4ItYAtZxUICspEOy7ijT8/ilmpGedF9\nNp/aUEtXtdS940RXNYqEUrRoSWYTCm2/zYhRj31oMDTYvD5STVp3r3ffrVCut8k5yfbXAw3jM/n5\nRhP4FLbQWKx474B64sUYGxKNpidDblESQH7lL3WoUICdIEkLqYCoqOKAkJishhRUn3TFWOxqk46M\n/mm5pm1fQ1d4RqTx65EMmO2dtyFhbCMaNdmon6LmEBoUWyJ4qyJty2KDA3nM9FWYfxF30DrylXiX\nZISo1n7v5EpG438vda+C9XL3+jLJ2ecbO84otA8AAGR3um6V3/jsV6AeeRe3YHDbGpxZ8FjKWu2s\nRz2uMRhKyW52v/Pv+2coYsK5GxMAyg0T4uSYgadm1jGh4G646V53B833MHrn3DbFhsTDgIQzzRZB\n+4rJ7IhFtuzi+eyBQZhhMbmCQmijFzLPoo3NAddHUGw6X7y8GLVgx6rTRR7Gxpm8O6gmVFxYJNvy\ntQXUtI2vCPUuZ2StJug2H9FTaH3rfCrSeE2PsPAzOG3OYTBPMbFB+LQaKzkHRhhRXytg/UZnjLYm\nCrvvyfz+pT+iXJPJ2qxJwsCZiUhKUvVQlYWe+zzIXEMN5JFp51naJdUx4rFwbotsSmhl41hRUKPe\njgKuKXxISEjoYMd5Cu1KPj1AmF7lVoDxA1lwU02p3MwDeNGNNlFkgMZb93qcYVb2wj7bLDQT0Lvg\nXdwtRr7plopsZoTg1IigKEfqQfNlhdn+NksfTU/OIRLsJCGKaoDVz/ql6D6FrYMurtAVi1JTHxFN\nW9SNsjl3eiVqv/oVG3VY4TlXYOXnYmQiGDtbVZhc6Vf4TcLIjTtAsWlCH4Sa1iHpyFG7dFfYVkIk\nk5PoIG4y+JRP/u0mzPa695u+kmRtzYFiHM9xUAtg/0e9jPqa6fSeBFCswSnt7aRVSMSq2obqCRAR\nohrphgRBllSWe6DpdQVd2gRkPZLEpI04LNsRO84otL33zZAxesS97p8TBed8wiE7TYY7zU7V2P2S\nixWpJoDdjRw+22a841FvPR3YeLqyIYRhRSG2r0fismYTcdFNNEJO1ZGbTcB0n1c0mspMClsg5B04\nA7hVrO7JjUtWXG4igIPuQAHyPQvZzHSIQy0mhxk3v+4RAMD9Z/ZhYhwDLJ8qqJHP1/SzaECL6vQL\ntCXPYtMgX3cHUe0qsHXIlx4LYYuWF6NrWIrh4Eyuj55Lo1o862G2Owu/XT6xHeJWW5ZuRnm4nmgo\n5BHIMHRLDFsYWG/gYsUnm8lD7qTx/EJigKaJGJDUsk6lspNvcqiCcT+UqLYNtrG9SkhIeD6w4zyF\n3nm3Oo0fK8NE4/mqjGzrn2GwX0VjAoye27DKlWvyfiw6qmorybk8qv9HXiwrCmxgXdngjjptxZYz\nj0CCAkv1ARAdQVXLfk0pYUU1lj6ObAr0z7ljGx1boFp2K/l8l5YwpI5W11Vx9fVCo1w34dxne33o\ntGRwYe5ckWqRIffzDua7FbK57xqcW9FrLESI1WohhhVrdeivsIUO05/ijso4Iapq8b6aAaB8tj+b\nRZ5U060IBCn6XKF3oR1XR1JJKaUlXEMmaBEDlfeY5is9uSYVo9iUieFhzkXEj9AVh2pI3CZvQCB/\nX5mSUC15Wn3z5J6V5xs7zijkF1z9sH8+x2y3tCe3wzwmh0g4/Azoqu078M1SAMp1G0p9xKKbQEwd\nhl0sbRbPKggyaiT6BcWmCXHmdK8OIQABHUWmuL03fA1LHkHVwrAEIp6/saHK0AyisiJxaMQqjOy/\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": [ "## Fit NODDIx to the HCP subsection" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To use MIX instead of the standard Brute2Fine the solver needs to set to 'mix'. The option 'maxiter' states the threshold amount of iterations the stochastic algorithms takes.\n", "\n", "#### Note: Fitting NODDIx using MIX even on this small patch takes close to 90 minutes!" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using parallel processing with 8 workers.\n", "Setup MIX optimizer in 3.2901763916e-05 seconds\n", "Fitting of 400 voxels complete in 5606.92030287 seconds.\n", "Average of 14.0173007572 seconds per voxel.\n" ] } ], "source": [ "NODDIx_fit = NODDIx_mod.fit(scheme_hcp, sub_image, solver='mix', maxiter=300)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualizing NODDIx FODs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now visualize the FODs of the fitted NODDIx model near the corpus callosum and centrum semiovale. We expect to find a single-bundle moving in from the left, leading to a crossing area on the right." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from dipy.data import get_sphere\n", "from dipy.viz.actor import slicer\n", "sphere = get_sphere(name='symmetric724').subdivide()\n", "fods = NODDIx_fit.fod(sphere.vertices, visual_odi_lower_bound=0.05)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "affine = np.eye(4)\n", "affine[0,3] = -10\n", "affine[1,3] = -10\n", "\n", "volume_res = fitted_parameters['partial_volume_0']\n", "volume_im = slicer(volume_res[:, 0, :, None], interpolation='nearest', affine=affine, opacity=0.7)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from dipy.viz import fvtk\n", "ren = fvtk.ren()\n", "fod_spheres = fvtk.sphere_funcs(fods, sphere, scale=1., norm=False)\n", "fod_spheres.RotateX(90)\n", "fod_spheres.RotateZ(180)\n", "fod_spheres.RotateY(180)\n", "fvtk.add(ren, fod_spheres)\n", "fvtk.add(ren, volume_im)\n", "fvtk.record(ren=ren, size=[700, 700])" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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4co4mYEtUH9FqOFblJ1YTxFUfIjzfz3kX+ooiZ0SgMwBHg8LRoGA3CtKWQjWU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GNFs3pdcx6wo7pyfZ+dzhWw/IiztpXRwjHsxQ7O1CSJQJVArklTzlwEKyVoiqqZDJ2GbLWlmn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ofssBnWOaEqY5+QYyrELNDLUB7I5YSuAIQSMKPozYqqkHDCXBccEjBR4olPcauYDjf1riTT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S6vN4FDJqgZIC1kBxwfXBEZBpJtN685/exdpUDusr36b+d48CEPd9mJkhKkFld4a912eY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\nxE7IFx+C7ws4tHmKCS9RuH4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/voRHCvArXeivg2KAlxCcmk9xzh/QyeSoD97O2NgeiP1D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\njx6DMvhfHX78K4w3ndh6Kfz5F6xjPXvhB9+qqvrST/ix25QzqKpJwK9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IIUSI\nJGwJIYQQQoRIwpYQQgghRIgkbAkhhBBChEjClhBCCCFEiCRsCSGEEEKESMKWEEIIIUSIlNZ6u/sg\nhBBCCHHfkpEtIYQQQogQSdgSQgghhAiRhC0hhBBCiBBJ2BJCCCGECJGELSGEEEKIEEnYEkIIIYQI\nkYQtIYQQQogQSdgSQgghhAiRhC0hhBBCiBBJ2BJCCCGECJGELSGEEEKIEEnYEkIIIYQIkYQtIYQQ\nQogQSdgSQgghhAiRhC0hhBBCiBBJ2BJCCCGECJGELSGEEEKIEEnYEkIIIYQIkYQtIYQQQogQSdgS\nQgghhAiRhC0hhBBCiBBJ2BJCCCGECJGELSGEEEKIEP1/7HRHyCbU9g0AAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.image as mpimg\n", "img = mpimg.imread('dipy.png')\n", "\n", "plt.figure(figsize=[10, 10])\n", "plt.imshow(img[100:-97, 100:-85])\n", "plt.title('NODDIx FODs with isotropic volume fraction background', fontsize=20)\n", "plt.axis('off');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Indeed, MIX managed to estimate a smooth FOD map, finding consistent crossing areas on the right and a smooth bundle continuation out of the corpus callosum - which is impressive. However, from the background we can see that the isotropic compartment is underestimated above the corpus callosum." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualizing parameters maps" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Visualizing the estimated parameter maps as before we can see they are much less interpretable than those of simpler single bundle models. Only partial_volume_0 (the Ball volume fraction) is smooth, showing the CSF on the bottom, but the ordering of the other parameter values is randomly distribution among the two Watson-dispersed bundles. Furtermore, it doesn't look like only a single Watson bundle was active at any point in the corpus callosum - the model found a global minimum where both bundles contributed to the single bundle with some optimal model parameters. " ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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8DXYduCPvseu0vTPVKoMBbD7YrnUiS7qb8XVX23Wcitbajz/UhDpEjSH2y0pt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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fitted_parameters = NODDIx_fit.fitted_parameters\n", "\n", "fig, axs = plt.subplots(3, 3, figsize=[15, 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", " fig.colorbar(cf, ax=axs[counter], shrink=0.5)\n", " counter += 1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "While MIX still produced in good FOD fields, this means that in its current form MIX lacks a way to automatically select the best (actual) number of bundles in a voxel. This means model parameters do not have a microstructural interpretation when the number of defined bundles does not match the actual number of bundles. A sparsity regularization on the volume fractions such as used by *(Zhu et al. 2013)* could be solution." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "- Farooq, Hamza, et al. \"Microstructure imaging of crossing (MIX) white matter fibers from diffusion MRI.\" Scientific reports 6 (2016): 38927.\n", "- Zhang, Hui, et al. \"NODDI: practical in vivo neurite orientation dispersion and density imaging of the human brain.\" Neuroimage 61.4 (2012): 1000-1016.\n", "- Zhu, Xinghua, et al. \"Model selection and estimation of multi-compartment models in diffusion mri with a rician noise model.\" International Conference on Information Processing in Medical Imaging. Springer, Berlin, Heidelberg, 2013." ] } ], "metadata": { "cite2c": { "citations": { "1647435/SWFQ6T3A": { "author": [ { "family": "Zhu", "given": "Xinghua" }, { "family": "Gur", "given": "Yaniv" }, { "family": "Wang", "given": "Wenping" }, { "family": "Those", "given": "Fletcher" } ], "container-title": "Alzheimer's research & therapy", "event": "IPMI", "id": "1647435/SWFQ6T3A", "issued": { "year": 2013 }, "page": "644-655", "page-first": "644", "title": "Model selection and estimation of multi-compartment models in diffusion MRI with a Rician noise model", "type": "paper-conference" }, "1647435/THCKBHVE": { "DOI": "10.1038/srep38927", "URL": "http://www.nature.com/articles/srep38927", "accessed": { "day": 26, "month": 12, "year": 2016 }, "author": [ { "family": "Farooq", "given": "Hamza" }, { "family": "Xu", "given": "Junqian" }, { "family": "Nam", "given": "Jung Who" }, { "family": "Keefe", "given": "Daniel F." }, { "family": "Yacoub", "given": "Essa" }, { "family": "Georgiou", "given": "Tryphon" }, { "family": "Lenglet", "given": "Christophe" } ], "container-title": "Scientific Reports", "id": "1647435/THCKBHVE", "issued": { "day": 16, "month": 12, "year": 2016 }, "page": "38927", "page-first": "38927", "title": "Microstructure Imaging of Crossing (MIX) White Matter Fibers from diffusion MRI", "type": "article-journal", "volume": "6" }, "1647435/UZWE3WP9": { "author": [ { "family": "Zhang", "given": "Hui" }, { "family": "Schneider", "given": "Torben" }, { "family": "Wheeler-Kingshott", "given": "Claudia A" }, { "family": "Alexander", "given": "Daniel C" } ], "container-title": "Neuroimage", "id": "1647435/UZWE3WP9", "issue": "4", "issued": { "year": 2012 }, "page": "1000–1016", "page-first": "1000", "title": "NODDI: practical in vivo neurite orientation dispersion and density imaging of the human brain", "type": "article-journal", "volume": "61" } } }, "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": 2 }