{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Spherical Distribution Models" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Histology studies show that axons within one white matter bundle are not organized parallel to each other, but rather that their orientations are dispersed around the central bundle direction *(Leergaard et al. 2010)*.\n", "The diffusion signal originating from tissue with dispersed axons can be modeled as the spherical convolution of a spherical distribution $G:\\mathbb{S}^2\\rightarrow[0,\\infty]$ with a convolution kernel $K(\\textbf{n})$ with $\\textbf{n}\\in\\mathbb{S}^2$, where the kernel describes the diffusion signal of a single axon micro-environment.\n", "Formally, this convolution can be written as\n", "\\begin{equation}\n", " E(\\textbf{n})=\\int_{\\mathbb{S}^2}F(\\textbf{n}-\\textbf{g})K(\\textbf{g})d\\textbf{g}=(\\operatorname{F}\\,*_{\\mathbb{S}^2}\\,K)(\\textbf{n})\n", "\\end{equation}\n", "where $\\textbf{g}\\in\\mathbb{S}^2$ is an integration variable, and we will use the second shorthand for spherical convolution in the rest of this article.\n", "Given an axon bundle along $\\textbf{n}_\\parallel$, then the \"sharpness\" of $F$ along $\\textbf{n}_\\parallel$ describes the \"spread\", i.e. the dispersion of single axon micro-environments around $\\textbf{n}_\\parallel$. \n", "The chosen shape of $K(\\textbf{n})$ varies between microstructure models and can be Sticks, Cylinders, Zeppelins or combinations thereof.\n", "But once $K(\\textbf{n})$ is known, $G$ can be recovered by spherical deconvolution of the signal with the kernel as $G(\\textbf{n})=(E\\,*^{-1}_{\\mathbb{S}^2}\\,K)(\\textbf{n})$ with $*^{-1}_{\\mathbb{S}^2}$ the deconvolution operator, or estimated using parametric distributions. In Dmipy, we do the latter with Watson or Bingham distributions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Watson and Bingham Distribution (SD1 and SD2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To provide a more straightforward, but less general way to quantify axon dispersion, parameteric representations for $F$ such as the Bingham and Watson distribution have been proposed *(Kaden et al. 2007)*. \n", "We show schematic representations of both distributions the figure below.\n", "The Bingham distribution $B(\\textbf{n}|\\boldsymbol{\\mu},\\kappa_1,\\kappa_2)$ is an antipodally symmetric distribution, centered around direction $\\boldsymbol{\\mu}$, describing a possibly anisotropic density with concentration parameters $\\kappa_1$ and $\\kappa_2$ *(Bingham et al. 1974)*.\n", "More formally, its probability density along normalized unit vector $\\textbf{n}$ is given as\n", "\\begin{equation}\n", " \\operatorname{B}(\\textbf{n}|\\boldsymbol{\\mu},\\kappa_1,\\kappa_2)=\\frac{\\exp(\\textbf{n}^T\\textbf{Bn})}{4\\pi\\,_1F_1(1/2;3/2;\\textbf{B})}\\quad\\textrm{with}\\quad \\textbf{B}=\\textbf{R}^T\\textbf{B}_{\\textrm{diag}}\\textbf{R}\n", "\\end{equation}" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": 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snPHgV70ns0jHoSU5vrN1MOU90Bev8FB/7v15y6iMaL3NXdanIF90zCcpk/d4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\nS5PC7GGo+KxiOmP0h63N2GM3AZtlhgi+Nm+swTYYvYRvNhBlYXT8elbR4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"text/plain": [ "" ] }, "execution_count": 1, "metadata": { "image/png": { "width": 600 } }, "output_type": "execute_result" } ], "source": [ "from IPython.display import Image\n", "Image(\"dispersion_distributions.png\", width=600)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "with $_1F_1$ the confluent hypergeometric function, $\\textbf{R}$ a rotation matrix that aligns the distribution with $\\boldsymbol{\\mu}$ and $\\textbf{B}_{\\textrm{diag}}=\\textrm{Diag}(\\kappa_1,\\kappa_2,0)$. Note that concentration parameters $\\kappa_1,\\kappa_2$ are inversely related to dispersion. The Watson distribution $W(\\textbf{n}|\\boldsymbol{\\mu},\\kappa)$ is a special case of Bingham when $\\kappa=\\kappa_1=\\kappa_2$, meaning $W(\\textbf{n}|\\boldsymbol{\\mu},\\kappa)=B(\\textbf{n}|\\boldsymbol{\\mu},\\kappa,\\kappa)$.\n", "\n", "\\begin{equation}\n", " \\operatorname{W}(\\textbf{n}|\\boldsymbol{\\mu},\\kappa)=\\frac{\\exp\\left(\\kappa(\\boldsymbol{\\mu}\\cdot\\textbf{n})^2\\right)}{4\\pi\\,_1F_1(1/2;3/2;\\kappa)}\n", "\\end{equation}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example and Intuition of Watson Distribution" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A Watson distribution with concentration $\\kappa$ is related to a spherical Gaussian distributions with standard deviation $\\sigma_\\phi$. To illustrate this, plot a spherical arc of a Watson distribution for different $\\kappa$ and fit it to an explicit Gaussian distribution." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "def gauss_(x, amplitude, sigma):\n", " return amplitude * np.exp(-(x ** 2) / (2 * sigma ** 2))" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from dipy.core.geometry import sphere2cart\n", "mu = np.r_[0, 0]\n", "theta_range = np.linspace(-np.pi / 2, np.pi / 2, 191)\n", "degree_range = 180 * theta_range / np.pi\n", "x_range, y_range, z_range = sphere2cart(np.ones(191), theta_range, np.zeros(191))\n", "n = np.c_[x_range, y_range, z_range]" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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i9sLEidC4MezcmXFynIsLhIWlfxsXHU05Q9h1qZBQe7Zw5cqV6dGjR3pxgcuX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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from dmipy.distributions.distributions import SD1Watson, kappa2odi\n", "import matplotlib.pyplot as plt\n", "from scipy.optimize import curve_fit\n", "import seaborn as sns\n", "%matplotlib inline\n", "sns.set_style(\"whitegrid\")\n", "\n", "odi = kappa2odi(np.r_[16, 9, 3])\n", "watson = SD1Watson(mu=[0, 0])\n", "y1 = watson(n, odi=odi[0])\n", "_, sig1 = curve_fit(gauss_, degree_range, y1)[0]\n", "y2 = watson(n, odi=odi[1])\n", "_, sig2 = curve_fit(gauss_, degree_range, y2)[0]\n", "y3 = watson(n, odi=odi[2])\n", "_, sig3 = curve_fit(gauss_, degree_range, y3)[0]\n", "\n", "plt.figure(figsize=[7, 4])\n", "plt.plot(degree_range, y1, c='r', label=r'$\\kappa=16$')\n", "plt.plot(degree_range, y2, c='g', label=r'$\\kappa=9$')\n", "plt.plot(degree_range, y3, c='b', label=r'$\\kappa=3$')\n", "plt.xlabel('Deviation from $\\mu$ [$\\phi$ in degrees]', fontsize=20)\n", "plt.ylabel('Watson Density W(n|$\\mu$,$\\kappa$)', fontsize=20)\n", "plt.xlim(-60, 60)\n", "plt.legend(fontsize=20, loc='upper left')\n", "plt.text(10, 1.7, r'$\\sigma_\\phi\\approx ' + str(round(sig1, 1)) + '^o$', fontsize=20, color='r')\n", "plt.text(22, .5, r'$\\sigma_\\phi\\approx ' + str(round(sig2, 1)) + '^o$', fontsize=20, color='g')\n", "plt.text(35, .18, r'$\\sigma_\\phi\\approx ' + str(round(sig3, 1)) + '^o$', fontsize=20, color='b');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that larger $\\kappa$ corresponds to a smaller $\\sigma_\\phi$. In literature, *(Ronen et al. 2013)* studied axon dispersion in the Corpus Callosum, and found that typical values in $\\sigma_\\phi$ are between 10 and 25 degrees. Plotting $\\kappa$ and Orientation Dispersion Index (ODI) as a function of $\\sigma_\\phi$, we can get a feeling for what values to expect when fitting Watson distributions to real data." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/user/rfick/home/anaconda2/lib/python2.7/site-packages/numpy/ma/core.py:6592: RuntimeWarning: overflow encountered in power\n", " result = np.where(m, fa, umath.power(fa, fb)).view(basetype)\n" ] }, { "data": { "image/png": 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gIO7du1fmdRd0PwCWLVvGd999x8cff4y1tTXu7u5ylfch90QV96NCjR9NSkrC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7FjDWkLFixAZmam2rTdu3cjJCQEp06dQkhICHbv3i1SuqHLwsIC69atw5dffomcnBzs27cP3333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\ndu/ejWHDh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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "length = 1000\n", "sigmas = np.zeros(length)\n", "kappas = np.linspace(1., 300, length)\n", "ODIs = kappa2odi(kappas)\n", "for i, odi_ in enumerate(ODIs):\n", " y = watson(n, mu=mu, odi=odi_)\n", " _, sigmas[i] = curve_fit(gauss_, degree_range, y)[0]\n", "plt.figure(figsize=[9, 7])\n", "plt.semilogy(sigmas, kappas, label='Concentration ($\\kappa$)')\n", "plt.semilogy(sigmas, ODIs, label='ODI=(2/$\\pi$)arctan(1/$\\kappa$)')\n", "plt.xlabel('Dispersion $\\sigma_\\phi$ [degrees]', fontsize=20)\n", "plt.ylabel('Dispersion Parameter', fontsize=20)\n", "plt.legend(fontsize=18)\n", "plt.axvline(10, ymin=0, ymax=100, ls='--', color='k')\n", "plt.axvline(25, ymin=0, ymax=100, ls='--', color='k')\n", "plt.text(10.7, 250, 'Corpus Callosum', fontsize=12)\n", "plt.text(12, 115, '[Ronen 2013]', fontsize=12)\n", "plt.text(10.5, 17, r'$\\kappa\\approx16$', fontsize=18)\n", "plt.text(25.5, 3.9, r'$\\kappa\\approx3$', fontsize=18)\n", "plt.text(25.5, .09, r'ODI$\\approx0.2$', fontsize=18)\n", "plt.text(10.5, .021, r'ODI$\\approx0.04$', fontsize=18);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, realistic values (in the Corpus Callosum) for $\\kappa$ range between 3 and 16, which corresponds in ODI to values between 0.02 and 0.2." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example and Intuition of Bingham Distribution" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A Bingham distribution is a generalization of the Watson by allowing a secondary dispersion parameter $\\beta$, which enables dispersion anisotropy in secondary orientation $\\psi$. To illustrate what this means, we reproduce Fig 3. from (*Tariq et al. 2016)*'s Bingham–NODDI model." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "from dmipy.distributions.distributions import SD2Bingham\n", "from scipy.interpolate import griddata\n", "\n", "theta_range = np.linspace(0, np.pi / 2., 91)\n", "phi_range = np.linspace(0, 2 * np.pi, 360)\n", "theta_grid, phi_grid = np.meshgrid(theta_range, phi_range)\n", "\n", "sampling_points = np.reshape(np.concatenate((np.array([theta_grid]), np.array([phi_grid]))),(2, -1)).T\n", "theta_, phi_ = np.reshape(np.concatenate((np.array([theta_grid]), np.array([phi_grid]))),(2, -1))\n", "\n", "x_, y_, z_ = sphere2cart(np.ones_like(phi_), theta_, phi_)\n", "n = np.c_[x_, y_, z_]\n", "bingam = SD2Bingham(mu=mu)\n", "\n", "odi = kappa2odi(16)\n", "beta_fraction = [0, 14 / 16., 1.]\n", "\n", "data_k16_b0_psi0 = bingam(n, psi=0, odi=odi, beta_fraction=beta_fraction[0])\n", "data_k16_b14_psi0 = bingam(n, psi=0, odi=odi, beta_fraction=beta_fraction[1])\n", "data_k16_b16_psi0 = bingam(n, psi=0, odi=odi, beta_fraction=beta_fraction[2])\n", "data_grid_k16_b0_psi0 = griddata(sampling_points, data_k16_b0_psi0, (theta_grid, phi_grid), method='nearest',fill_value=0)\n", "data_grid_k16_b14_psi0 = griddata(sampling_points, data_k16_b14_psi0, (theta_grid, phi_grid), method='nearest',fill_value=0)\n", "data_grid_k16_b16_psi0 = griddata(sampling_points, data_k16_b16_psi0, (theta_grid, phi_grid), method='nearest',fill_value=0)\n", "\n", "data_k16_b0_psi1 = bingam(n, psi=np.pi/3, odi=odi, beta_fraction=beta_fraction[0])\n", "data_k16_b14_psi1 = bingam(n, psi=np.pi/3, odi=odi, beta_fraction=beta_fraction[1])\n", "data_k16_b16_psi1 = bingam(n, psi=np.pi/3, odi=odi, beta_fraction=beta_fraction[2])\n", "data_grid_k16_b0_psi1 = griddata(sampling_points, data_k16_b0_psi1, (theta_grid, phi_grid), method='nearest',fill_value=0)\n", "data_grid_k16_b14_psi1 = griddata(sampling_points, data_k16_b14_psi1, (theta_grid, phi_grid), method='nearest',fill_value=0)\n", "data_grid_k16_b16_psi1 = griddata(sampling_points, data_k16_b16_psi1, (theta_grid, phi_grid), method='nearest',fill_value=0)\n", "\n", "data_k16_b0_psi2 = bingam(n, psi=2*np.pi/3, odi=odi, beta_fraction=beta_fraction[0])\n", "data_k16_b14_psi2 = bingam(n, psi=2*np.pi/3, odi=odi, beta_fraction=beta_fraction[1])\n", "data_k16_b16_psi2 = bingam(n, psi=2*np.pi/3, odi=odi, beta_fraction=beta_fraction[2])\n", "data_grid_k16_b0_psi2 = griddata(sampling_points, data_k16_b0_psi2, (theta_grid, phi_grid), method='nearest',fill_value=0)\n", "data_grid_k16_b14_psi2 = griddata(sampling_points, data_k16_b14_psi2, (theta_grid, phi_grid), method='nearest',fill_value=0)\n", "data_grid_k16_b16_psi2 = griddata(sampling_points, data_k16_b16_psi2, (theta_grid, phi_grid), method='nearest',fill_value=0)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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16yBWTiJXWwrU/S2o9R1mEqvntQBYAmmfcXNugVrHa7E0b+MiyphVrnmgi1Br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ZIxXGoAfRa60pWl/cY88ScL3Ukjf0T80PR0Jvv2ZbNlywR5eXkrxh5ALIbd1uZhYMCX6qac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\nhIgTKbyEEEIIIeJECi8hhBBCiDj5P5hE+vDAQCy9AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=[10, 10])\n", "ax = plt.subplot(331, projection=\"polar\")\n", "ax.pcolormesh(phi_range, theta_range, data_grid_k16_b0_psi0.T, cmap = 'jet')\n", "ax.set_title(r'$\\kappa$=16, $\\beta$=0')\n", "ax = plt.subplot(332, projection=\"polar\")\n", "ax.pcolormesh(phi_range, theta_range, data_grid_k16_b14_psi0.T, cmap = 'jet')\n", "ax.set_title(r'$\\kappa$=16, $\\beta$=14')\n", "ax = plt.subplot(333, projection=\"polar\")\n", "ax.pcolormesh(phi_range, theta_range, data_grid_k16_b16_psi0.T, cmap = 'jet')\n", "ax.set_title(r'$\\kappa$=16, $\\beta$=16')\n", "\n", "ax = plt.subplot(334, projection=\"polar\")\n", "ax.pcolormesh(phi_range, theta_range, data_grid_k16_b0_psi1.T, cmap = 'jet')\n", "ax.set_title(r'$\\kappa$=16, $\\beta$=0')\n", "ax = plt.subplot(335, projection=\"polar\")\n", "ax.pcolormesh(phi_range, theta_range, data_grid_k16_b14_psi1.T, cmap = 'jet')\n", "ax.set_title(r'$\\kappa$=16, $\\beta$=14')\n", "ax = plt.subplot(336, projection=\"polar\")\n", "ax.pcolormesh(phi_range, theta_range, data_grid_k16_b16_psi1.T, cmap = 'jet')\n", "ax.set_title(r'$\\kappa$=16, $\\beta$=16')\n", "\n", "ax = plt.subplot(337, projection=\"polar\")\n", "ax.pcolormesh(phi_range, theta_range, data_grid_k16_b0_psi2.T, cmap = 'jet')\n", "ax.set_title(r'$\\kappa$=16, $\\beta$=0')\n", "ax = plt.subplot(338, projection=\"polar\")\n", "ax.pcolormesh(phi_range, theta_range, data_grid_k16_b14_psi2.T, cmap = 'jet')\n", "ax.set_title(r'$\\kappa$=16, $\\beta$=14')\n", "ax = plt.subplot(339, projection=\"polar\")\n", "ax.pcolormesh(phi_range, theta_range, data_grid_k16_b16_psi2.T, cmap = 'jet')\n", "ax.set_title(r'$\\kappa$=16, $\\beta$=16');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It can be seen that when $\\kappa=\\beta$, then the distribution corresponds to a narrow spherical band, but when $\\kappa>\\beta$ the Bingham distribution corresponds to an anisotropic Gaussian distribution on the sphere." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "- Leergaard, Trygve B., et al. \"Quantitative histological validation of diffusion MRI fiber orientation distributions in the rat brain.\" PloS one 5.1 (2010): e8595.\n", "- Kaden, Enrico, Thomas R. Knösche, and Alfred Anwander. \"Parametric spherical deconvolution: Inferring anatomical connectivity using diffusion MR imaging.\" NeuroImage 37.2 (2007): 474-488.\n", "- Bingham, Christopher. \"An antipodally symmetric distribution on the sphere.\" The Annals of Statistics (1974): 1201-1225.\n", "- Ronen, Itamar, et al. \"Microstructural organization of axons in the human corpus callosum quantified by diffusion-weighted magnetic resonance spectroscopy of N-acetylaspartate and post-mortem histology.\" Brain Structure and Function 219.5 (2014): 1773-1785.\n", "- Tariq, Maira, et al. \"Bingham–noddi: Mapping anisotropic orientation dispersion of neurites using diffusion mri.\" NeuroImage 133 (2016): 207-223." ] } ], "metadata": { "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 }