{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Vascular, Extracellular and Restricted Diffusion for Cytometry in Tumors (VERDICT)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Panagiotaki et al. (2014) proposed a multi-compartment model called VERDICT to characterize the composition of tumorous tissues. VERDICT models the diffusion in tumor cells, the extra-cellular space and surrounding bloodvessels as a restricted Sphere, an isotropic Gaussian Ball and a Stick compartment, respectively. VERDICT's design is as follows:\n", "\\begin{equation}\n", " E_{\\textrm{VERDICT}}= \\underbrace{f_{\\textrm{Tumor}}\\overbrace{E(D|\\lambda_{\\textrm{intra}})}^{\\textrm{Sphere}}}_{\\textrm{Tumor Cells}} + \\underbrace{f_{\\textrm{extra}}\\overbrace{E(\\cdot|\\lambda_{iso})}^{\\textrm{Ball}}}_{\\textrm{Hindered Extra-Cellular}}+\\underbrace{f_{blood}\\overbrace{E(\\lambda_\\parallel, \\boldsymbol{\\mu})}^{\\textrm{Stick}}}_{\\textrm{Vascular}}\n", "\\end{equation}\n", "where $D$ is the sphere's diameter. VERDICT uses the Gaussian Phase approximation to model the sphere *(Balinov et al. 1993)*, which accounts to changes in gradient pulse duration $\\delta$ and separation $\\Delta$. Furthermore, some particular parameter constraints are imposed:\n", "- The intra-cellular (intra-spherical) diffusivity is fixed to 0.9e-9 m^2/s\n", "- The extra-cellular Gaussian diffusivity is also fixed to 0.9e-9 m^2/s\n", "- The optimization range for $\\lambda_\\parallel$ of the Vascular Stick is set between (3.05-10)e-9 m^2/s\n", "\n", "We can define the VERDICT model in the following lines of code:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Using Dmipy to set up the VERDICT model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We first load the necessary modules to import the Sphere, Ball, and Stick models." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from dmipy.signal_models import sphere_models, cylinder_models, gaussian_models" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Sphere model must be initiated with VERDICT's setting for intra-spherical diffusivity, while the Ball and Stick model are regularly imported." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "sphere = sphere_models.S4SphereGaussianPhaseApproximation(diffusion_constant=0.9e-9)\n", "ball = gaussian_models.G1Ball()\n", "stick = cylinder_models.C1Stick()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We then assemble the three models into a multi-compartment model:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "We highly recommend installing pathos to take advantage of multicore processing.\n" ] }, { "data": { "text/plain": [ "['G1Ball_1_lambda_iso',\n", " 'S4SphereGaussianPhaseApproximation_1_diameter',\n", " 'C1Stick_1_mu',\n", " 'C1Stick_1_lambda_par',\n", " 'partial_volume_0',\n", " 'partial_volume_1',\n", " 'partial_volume_2']" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from dmipy.core.modeling_framework import MultiCompartmentModel\n", "verdict_mod = MultiCompartmentModel(models=[sphere, ball, stick])\n", "verdict_mod.parameter_names" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Visualize the model:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import Image\n", "verdict_mod.visualize_model_setup(view=False, cleanup=False, with_parameters=True)\n", "Image('Model Setup.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We then fix the Ball's diffusivity, and adjust the Stick's optimization range for $\\lambda_\\parallel$ for the optimization." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "verdict_mod.set_fixed_parameter('G1Ball_1_lambda_iso', 0.9e-9)\n", "verdict_mod.set_parameter_optimization_bounds('C1Stick_1_lambda_par', [3.05e-9, 10e-9])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We are now ready to fit the data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Fitting VERDICT to UCL Example Data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As illustration data we use the voxel of VERDICT data that is freely available at the UCL website at http://camino.cs.ucl.ac.uk/index.php?n=Tutorials.VERDICTcol. We prepared the script to easily import the acquisition scheme and example data from there:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Acquisition scheme summary\n", "\n", "total number of measurements: 220\n", "number of b0 measurements: 49\n", "number of DWI shells: 41\n", "\n", "shell_index |# of DWIs |bvalue [s/mm^2] |gradient strength [mT/m] |delta [ms] |Delta[ms] |TE[ms]\n", "0 |19 |20 |0 |3.0 |10.0 |17.0 \n", "1 |3 |148 |160 |3.0 |10.0 |17.0 \n", "2 |3 |231 |200 |3.0 |10.0 |17.0 \n", "3 |3 |333 |240 |3.0 |10.0 |17.0 \n", "4 |3 |454 |280 |3.0 |10.0 |17.0 \n", "5 |3 |593 |320 |3.0 |10.0 |17.0 \n", "6 |3 |751 |360 |3.0 |10.0 |17.0 \n", "7 |3 |927 |400 |3.0 |10.0 |17.0 \n", "8 |12 |4 |0 |3.0 |20.0 |27.0 \n", "9 |3 |78 |80 |3.0 |20.0 |27.0 \n", "10 |3 |176 |120 |3.0 |20.0 |27.0 \n", "11 |3 |313 |160 |3.0 |20.0 |27.0 \n", "12 |3 |489 |200 |3.0 |20.0 |27.0 \n", "13 |3 |704 |240 |3.0 |20.0 |27.0 \n", "14 |3 |959 |280 |3.0 |20.0 |27.0 \n", "15 |3 |1253 |320 |3.0 |20.0 |27.0 \n", "16 |3 |1585 |360 |3.0 |20.0 |27.0 \n", "17 |9 |0 |0 |3.0 |30.0 |37.0 \n", "18 |3 |119 |80 |3.0 |30.0 |37.0 \n", "19 |3 |268 |120 |3.0 |30.0 |37.0 \n", "20 |3 |478 |160 |3.0 |30.0 |37.0 \n", "21 |3 |747 |200 |3.0 |30.0 |37.0 \n", "22 |3 |1075 |240 |3.0 |30.0 |37.0 \n", "23 |3 |1464 |280 |3.0 |30.0 |37.0 \n", "24 |3 |1912 |320 |3.0 |30.0 |37.0 \n", "25 |3 |2420 |360 |3.0 |30.0 |37.0 \n", "26 |3 |2988 |400 |3.0 |30.0 |37.0 \n", "27 |13 |9 |0 |3.0 |40.0 |47.0 \n", "28 |3 |160 |80 |3.0 |40.0 |47.0 \n", "29 |3 |361 |120 |3.0 |40.0 |47.0 \n", "30 |3 |643 |160 |3.0 |40.0 |47.0 \n", "31 |3 |1004 |200 |3.0 |40.0 |47.0 \n", "32 |3 |1446 |240 |3.0 |40.0 |47.0 \n", "33 |3 |1969 |280 |3.0 |40.0 |47.0 \n", "34 |3 |2572 |320 |3.0 |40.0 |47.0 \n", "35 |3 |3255 |360 |3.0 |40.0 |47.0 \n", "36 |3 |4018 |400 |3.0 |40.0 |47.0 \n", "37 |6 |0 |0 |3.5 |8.0 |15.0 \n", "38 |42 |958 |400 |3.5 |8.0 |15.0 \n", "39 |2 |0 |0 |10.0 |30.0 |44.0 \n", "40 |3 |305 |40 |10.0 |30.0 |44.0 \n", "41 |3 |2748 |120 |10.0 |30.0 |44.0 \n", "42 |3 |0 |0 |10.0 |40.0 |47.0 \n", "43 |3 |419 |40 |10.0 |40.0 |47.0 \n", "44 |3 |1679 |80 |10.0 |40.0 |47.0 \n", "45 |3 |3778 |120 |10.0 |40.0 |47.0 \n" ] } ], "source": [ "from dmipy.data import saved_data\n", "scheme, data = saved_data.panagiotaki_verdict()\n", "scheme.print_acquisition_info" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that the VERDICT acquisition scheme is very particular, having many shells with different diffusion times and often only 3 perpendicular measurements per shell, with the exception of one DTI shell with 42 measurements.\n", "\n", "To fit the data we use the MIX algorithm *(Farooq et al. 2016)*, which is efficient for finding the global minimum in models with many compartments. We set parallel processing to False since there is only one voxel." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Setup MIX optimizer in 8.10623168945e-06 seconds\n", "Fitting of 1 voxels complete in 2.82182407379 seconds.\n", "Average of 2.82182407379 seconds per voxel.\n" ] } ], "source": [ "verdict_fit = verdict_mod.fit(scheme, data, solver='mix', use_parallel_processing=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Visualize results" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To illustrate that Dmipy's VERDICT implementation is correct, we show that we can produce a very similar signal fitting plots as the one shown on the UCL website. On the left we show their original graph, and on the right we show Dmipy's predicted signal together with the measured signal attenuation." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.image as mpimg\n", "img=mpimg.imread(\"http://camino.cs.ucl.ac.uk/uploads/Tutorials/VCLSsynth.png\")\n", " \n", "mask_nonzero = scheme.gradient_strengths>0.\n", "G_nonzero = scheme.gradient_strengths[mask_nonzero]\n", "Delta_nonzero = scheme.Delta[mask_nonzero]\n", "delta_nonzero = scheme.delta[mask_nonzero]\n", "\n", "predicted_data = verdict_fit.predict()[0]\n", "predicted_data_nonzero = predicted_data[mask_nonzero]\n", "data_nonzero = data[mask_nonzero]\n", "\n", "fig, axs = plt.subplots(1, 2, figsize=[30, 10])\n", "axs = axs.ravel()\n", "axs[0].imshow(img)\n", "axs[0].set_title('UCL Verdict Results', fontsize=30)\n", "axs[0].axis('off')\n", "\n", "for delta_, Delta_ in np.unique(np.c_[scheme.shell_delta, scheme.shell_Delta], axis=0):\n", " mask = np.all([Delta_nonzero == Delta_, delta_nonzero == delta_], axis=0)\n", " axs[1].plot(G_nonzero[mask], predicted_data_nonzero[mask])\n", " axs[1].scatter(G_nonzero[mask], data_nonzero[mask], s=3., marker='o')\n", "axs[1].set_title('Dmipy Verdict Results', fontsize=30)\n", "axs[1].set_xlabel('G(T/m)', fontsize=20)\n", "axs[1].set_ylabel('S', fontsize=20);\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "While we didn't exactly duplicate their graph style, we can see that both the plots and signal fitting are very similar between Dmipy's and UCL's implementation.\n", "\n", "Showing the fitting parameters, we can also see that Dmipy's estimate of the tumor cell diameter is 1.54e-5m, i.e. 15.4$\\mu m$, which falls exactly within the ranges that Panagiotaki et al. reports." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'C1Stick_1_lambda_par': array([6.5832855e-09]),\n", " 'C1Stick_1_mu': array([[1.01286177, 0.6053996 ]]),\n", " 'S4SphereGaussianPhaseApproximation_1_diameter': array([1.54027035e-05]),\n", " 'partial_volume_0': array([0.76131121]),\n", " 'partial_volume_1': array([0.09743701]),\n", " 'partial_volume_2': array([0.14125178])}" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "verdict_fit.fitted_parameters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "- Panagiotaki, Eletheria, et al. \"Noninvasive quantification of solid tumor microstructure using VERDICT MRI.\" Cancer research 74.7 (2014): 1902-1912.\n", "- Balinov, Balin, et al. \"The NMR self-diffusion method applied to restricted diffusion. Simulation of echo attenuation from molecules in spheres and between planes.\" Journal of Magnetic Resonance, Series A 104.1 (1993): 17-25.\n", "- Farooq, Hamza, et al. \"Microstructure Imaging of Crossing (MIX) White Matter Fibers from diffusion MRI.\" Nature Scientific reports 6 (2016)." ] } ], "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": "2.7.15" } }, "nbformat": 4, "nbformat_minor": 2 }