{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Multi-Compartment Microscopic Diffusion Imaging" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The recently proposed Multi-Compartment Microscopic Diffusion Imaging (MC-MDI) model *(Kaden et al. 2016)* is a spherical convolution-based technique, which separates intra- from extra-axonal diffusion inside the spherical convolution kernel as" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\n", "\\begin{align}\n", "\\begin{aligned}\n", " E_{\\textrm{MC-SMT}}= \\overbrace{\\operatorname{FOD}}^{\\textrm{Fiber Distribution}}\\,*_{\\mathbb{S}^2}\\,\\left[\\underbrace{f_r\\overbrace{E_r(\\lambda_\\parallel)}^{\\textrm{Stick}}}_{\\textrm{Intra-Axonal}}+\\underbrace{(1-f_r)\\overbrace{E_h(\\lambda_\\parallel|\\lambda_\\perp^{\\textrm{tort}})}^{\\textrm{Zeppelin}}}_{\\textrm{Hindered Extra-Axonal}}\\right].\n", "\\end{aligned}\n", "\\end{align}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The formulation of MC-MDI finds similarities in models such as NODDI, but stands apart in only considering the spherical mean of the signal at every acquisition shell, as used in the Spherical Mean Technique (SMT) *(Kaden et al. 2015)*.\n", "\n", "SMT observes that if the FOD is a probability density (i.e. integrated to unity) then spherical mean of the signal and the convolution kernel must be the same\n", "\\begin{equation}\n", "\\int_{\\mathbb{S}^2}E_b(\\textbf{g})d\\textbf{g}=\\int_{\\mathbb{S}^2}(\\operatorname{FOD}\\,*_{\\mathbb{S}^2}\\,K)_b(\\textbf{g})d\\textbf{g}=\\int_{\\mathbb{S}^2}K_b(\\textbf{g})d\\textbf{g}=\\epsilon_K(b,\\lambda_\\perp,\\lambda_\\parallel).\n", "\\end{equation}\n", "The estimation of the multi-compartment kernel using SMT enables the characterization of per-axon micro-environments, as the effects of axon dispersion and crossings are only contained in the FOD.\n", "\n", "Advantages:\n", "- Insensitive to axon dispersion and crossings.\n", "\n", "Limitations:\n", "- Biased in the presence of non-white matter tissues (CSF)\n", "- Only accounts for average of tissue properties in crossing configurations, which potentially each have different properties.\n", "- Assumes Tortuosity constraint on perpendicular diffusivity.\n", "- Assumes parallel diffusivity of intra- and extra-axonal compartments are the same." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Using Dmipy to set up the MC-SMT Model\n", "To set up the MC-MDI model in dmipy is straightforward. First, we call the basic Stick and Zeppelin components of the model:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from dmipy.signal_models import cylinder_models, gaussian_models\n", "stick = cylinder_models.C1Stick()\n", "zeppelin = gaussian_models.G2Zeppelin()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then we give these models as input for the MultiCompartmentSphericalMeanModel instance:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['G2Zeppelin_1_lambda_perp',\n", " 'C1Stick_1_lambda_par',\n", " 'G2Zeppelin_1_lambda_par',\n", " 'partial_volume_0',\n", " 'partial_volume_1']" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from dmipy.core import modeling_framework\n", "mcdmi_mod = modeling_framework.MultiCompartmentSphericalMeanModel(\n", " models=[stick, zeppelin])\n", "mcdmi_mod.parameter_names" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calling MultiCompartmentSphericalMeanModel instead of MultiCompartmentModel will automatically fit the spherical mean of the model to the spherical mean of the signal, rather than the regular fitting of separate DWIs to the model.\n", "\n", "Setting MC-MDI's tortuosity constraint and parallel diffusivity equality is the same as in the previous NODDI models." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "mcdmi_mod.set_tortuous_parameter('G2Zeppelin_1_lambda_perp',\n", " 'C1Stick_1_lambda_par','partial_volume_0', 'partial_volume_1')\n", "mcdmi_mod.set_equal_parameter('G2Zeppelin_1_lambda_par', 'C1Stick_1_lambda_par')" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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MjMTDDz+M8PBw+Pv7w9/fHwEBAW36kCIiFBYWIjs7Gzk5Obh16xauXr2K69ev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\nBIPBYDAYzeX/AZUkoLxlsB5sAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import Image\n", "mcdmi_mod.visualize_model_setup(view=False, cleanup=False)\n", "Image('Model Setup.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fitting MC-SMT to Human Connectome Project data" ] }, { "cell_type": "code", "execution_count": 5, "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": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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3fLqMzz3uJPD69/fQPxv1j/jrM18lXPPGRwEAD964D9f+AV40SNWHhISEDpKn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\nTAeF64xs/l9TcxEjsfekd/MARz8yGV2jywo6bSLzEs/+8o1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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": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using parallel processing with 8 workers.\n", "Setup brute2fine optimizer in 1.46122407913 seconds\n", "Fitting of 8181 voxels complete in 46.2514820099 seconds.\n", "Average of 0.00565352426475 seconds per voxel.\n" ] } ], "source": [ "# Fitting a spherical mean model is again very fast.\n", "mcdmi_fit_hcp = mcdmi_mod.fit(scheme_hcp, data_hcp, mask=data_hcp[..., 0]>0)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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agx0tv2HilvtJhiF+ZxyVWr+MyVWqIakOnyghpMbVYKp3JvAaHlFG33vZgPIK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\nn24JdNPpQGdO85mHzwDw2we+BOwl7DdUkvbGfdP3xN7cydnQhnYT2Xc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gwKTfYi4v9+yL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PFXDezugKbf+HSR9519IwD7f+R3NY09/HRlnqr1IDtsmXSppzG3+T5HAznO+7oOU7bF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ONwSWd7rRy9OlfvLab2WtNnmzyU3dMoJwdqlIvWDR5a5qNj6X9dtlrk6fiQXi76vtoBE68bz6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\nhj98qX6VBWy+6PXU71y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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fitted_parameters = mcdmi_fit_hcp.fitted_parameters\n", "\n", "fig, axs = plt.subplots(1, len(fitted_parameters), figsize=[15, 15])\n", "axs = axs.ravel()\n", "\n", "for i, (name, values) in enumerate(fitted_parameters.items()):\n", " cf = axs[i].imshow(values.squeeze().T, origin=True)\n", " axs[i].set_title(name)\n", " axs[i].set_axis_off()\n", " fig.colorbar(cf, ax=axs[i], shrink=0.2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Estimating CSD FODs using Voxel-Varying Spherical Mean Kernel" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Aside from parametric FODs (see spherical mean example), Dmipy allows for the estimation of Spherical Harmonics Fiber Orientation Distributions (FODs) using the fitted spherical mean model parameters as a convolution kernel.\n", "\n", "During the estimation of the FODs the parameters of the kernel are fixed to those estimated during the spherical mean step." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\\begin{align}\n", " E^{\\textrm{MCMDI-CSD\n", "}}= \\overbrace{\\operatorname{FOD}(\\textbf{c})}^{\\textrm{Fiber Distribution}}\\,*_{\\mathbb{S}^2}\\, \\left[\\underbrace{f_h\\overbrace{E_{\\textrm{h}}(\\cdot|\\lambda_\\perp^{\\textrm{tort}},\\lambda_\\parallel)}^{\\textrm{Zeppelin}}}_{\\textrm{Hindered Extra-Axonal}}+\\underbrace{f_r\\overbrace{E_r(\\cdot|\\lambda_\\parallel)}^{\\textrm{Stick}}}_{\\textrm{Intra-Axonal}}\\right].\n", "\\end{align}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### CSD FOD Estimation from spherical mean model\n", "First we fit MC-MDI on a patch where we want to estimate FODs." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "mcmdi_csd_mod = mcdmi_fit_hcp.return_spherical_harmonics_fod_model()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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BZaphyZepW25uLk6ePImTJ0/i9OnTKCwshIODA8LCwjB48GAMHDgQvXr1gqen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\nQmCC\n", "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import Image\n", "mcmdi_csd_mod.visualize_model_setup(view=False, cleanup=False)\n", "Image('Model Setup.png')" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Parallel processing turned off for tournier07 optimizer because it does not improve fitting speed.\n", "Setup Tournier07 FOD optimizer in 0.00595593452454 seconds\n", "Fitting of 8181 voxels complete in 35.2952799797 seconds.\n", "Average of 0.00431429898297 seconds per voxel.\n" ] } ], "source": [ "mcmdi_csd_fit = mcmdi_csd_mod.fit(scheme_hcp, data_hcp)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Watson FOD visualization" ] }, { "cell_type": "code", "execution_count": 12, "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 = mcmdi_csd_fit.fod(sphere.vertices)[70:90,: , 70:90]" ] }, { "cell_type": "code", "execution_count": 13, "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": [ "import numpy as np\n", "affine = np.eye(4)\n", "affine[0,3] = -10\n", "affine[1,3] = -10\n", "\n", "volume_res = mcmdi_csd_fit.fitted_parameters['partial_volume_0'][70:90,: , 70:90]\n", "volume_im = slicer(volume_res[:, 0, :, None], interpolation='nearest', affine=affine, opacity=0.7)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "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": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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CCB/wRdRi5N8AhBDbgK9KKSd6InQyyrNlmHuPAlehTrg+hhIiYqvsL6K2R2JMRWkT44mg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VuJ3Ih9VQs1xVA91hqpYWYTJp9+ybjHrem/WxpVUmlw4CsH5wiMNZsN3xAcrz8JKNJCxYMmEK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\nL0eVrp+E3jVgvsbIloUf3dhbIIoiSnGSFXsv0LlpPQtdH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R81dwxEAYSbeK9r9XoUvZ76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\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i4UuZBLVgZClEZxGjs7TFE3hnHVgtlpJW7fCClUHru0FrQlq0k/I6sc6rpAQFS9x8PgSL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ADTW7fTv/urSNNhdkFXLCBdCcjVKzwXTFJK9lzVXBFE+pQCKA8wapfYEAvVaWqVwbDhkDZXX/Xv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Sf2M97fvmOfXUt6n64D3UMoo/aieVWcXT/3/xe6LOh4EjKhCGumpsj0iYq4ETh5k59FNecY7z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\n3b0ot9o4oa3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"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('MC-MDI Watson FODs intra-axonal fraction background', fontsize=20)\n", "plt.axis('off');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Estimating Error Metrics: MSE and $R^2$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is also possible to calculate the Mean Squared Error (MSE) and the $R^2$ coefficient of determination. \n", "In MSE, the lower the better, while $R^2$ ranges between 0 and 1, with 1 being a perfect model fit." ] }, { "cell_type": "code", "execution_count": 16, "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:318: RuntimeWarning: invalid value encountered in divide\n" ] }, { "data": { "image/png": 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Je2thfg7/riVv0zlsYtA+u05b/zVpArY6j41xFUvoDdq70PkdzcxeTh4sPYvsjG4ueeXL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\nckoeHpvqbfMK2daupvRRoSzZjpfa1I/S+SutRqmXWer/t99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PexpQjr3uoxhMm32vab+u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O652pCq9/GPfxyorl/dKyce/vCHT3eyLdyT/5PKtil180c/+tHE+r/5m78B4CMf+cjcspKCVlqv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\nM8YYY4wxxpgZ5P8DwNedl02T168AAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mse = mcdmi_fit_hcp.mean_squared_error(data_hcp)\n", "R2 = mcdmi_fit_hcp.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=1e-3, 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=.98, 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": [ "The MSE shows that the fitting error is very low overall, with only slightly higher errors in the CSF and much larger errors in the skull. The $R^2$ agree with the MSE results, having values very close to 1 overall, with lower values in the CSF and skull." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "- Kaden, Enrico, et al. \"Multi-compartment microscopic diffusion imaging.\" NeuroImage 139 (2016): 346-359.\n", "- Kaden, Enrico, Frithjof Kruggel, and Daniel C. Alexander. \"Quantitative mapping of the per‐axon diffusion coefficients in brain white matter.\" Magnetic resonance in medicine 75.4 (2016): 1752-1763." ] } ], "metadata": { "cite2c": { "citations": { "1647435/9GIP6DWS": { "author": [ { "family": "Kaden", "given": "Enrico" }, { "family": "Kelm", "given": "Nathaniel D" }, { "family": "Carson", "given": "Robert P" }, { "family": "Does", "given": "Mark D" }, { "family": "Alexander", "given": "Daniel C" } ], "container-title": "NeuroImage", "id": "1647435/9GIP6DWS", "issued": { "year": 2016 }, "title": "Multi-compartment microscopic diffusion imaging", "type": "article-journal" }, "1647435/SJIIZKJJ": { "author": [ { "family": "Kaden", "given": "Enrico" }, { "family": "Kruggel", "given": "Frithjof" }, { "family": "Alexander", "given": "Daniel C" } ], "container-title": "Magnetic resonance in medicine", "id": "1647435/SJIIZKJJ", "issued": { "year": 2015 }, "title": "Quantitative mapping of the per-axon diffusion coefficients in brain white matter", "type": "article-journal" } } }, "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 }