{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "njqZ9ZjiZhOi" }, "source": [ "# Validation\n", "\n", "This notebook contains examples of some of the simulations that have been used to validate Disimpy's functionality by comparing the simulated signals to analytical solutions and signals generated by other simulators. Here, we simulate free diffusion and restricted diffusion inside cylinders and spheres." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "id": "URtKY7GhZYoA" }, "outputs": [], "source": [ "# Import the required packages and modules\n", "\n", "import os\n", "import pickle\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from disimpy import gradients, simulations, substrates, utils\n", "from disimpy.gradients import GAMMA" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "id": "Wr1C78aBZi7c" }, "outputs": [], "source": [ "# Define simulation parameters\n", "\n", "n_walkers = int(1e6) # number of random walkers\n", "n_t = int(1e3) # number of time points\n", "diffusivity = 2e-9 # in SI units (m^2/s)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "chrnW_CtZjTj" }, "source": [ "## Free diffusion\n", "\n", "In the case of free diffusion, the analytical expression for the signal is $S = S_0 \\exp(-bD)$, where $S_0$ is the signal without diffusion-weighting, $b$ is the b-value, and $D$ is the diffusivity." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a Stejskal-Tanner gradient array with ∆ = 40 ms and δ = 30 ms\n", "\n", "gradient = np.zeros((1, 700, 3))\n", "gradient[0, 1:300, 0] = 1\n", "gradient[0, -300:-1, 0] = -1\n", "T = 70e-3\n", "dt = T / (gradient.shape[1] - 1)\n", "gradient, dt = gradients.interpolate_gradient(gradient, dt, n_t)\n", "bs = np.linspace(0, 3e9, 100)\n", "gradient = np.concatenate([gradient for _ in bs], axis=0)\n", "gradient = gradients.set_b(gradient, dt, bs)\n", "\n", "\n", "# Show the waveform of the measurement with the highest b-value\n", "\n", "fig, ax = plt.subplots(1, figsize=(7, 4))\n", "for i in range(3):\n", " ax.plot(np.linspace(0, T, n_t), gradient[-1, :, i])\n", "ax.legend([\"G$_x$\", \"G$_y$\", \"G$_z$\"])\n", "ax.set_xlabel(\"Time (s)\")\n", "ax.set_ylabel(\"Gradient magnitude (T/m)\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 651 }, "id": "xDuPyAbuZkN-", "outputId": "427f4f65-9a78-420f-98f8-d4160277a608" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Starting simulation\n", "Number of random walkers = 1000000\n", "Number of steps = 1000\n", "Step length = 9.169737405405026e-07 m\n", "Step duration = 7.007007007007008e-05 s\n", "Simulation finished\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Run the simulation\n", "\n", "substrate = substrates.free()\n", "signals = simulations.simulation(n_walkers, diffusivity, gradient, dt, substrate)\n", "\n", "\n", "# Plot the results\n", "\n", "fig, ax = plt.subplots(1, figsize=(7, 4))\n", "ax.plot(bs, np.exp(-bs * diffusivity), color=\"tab:orange\")\n", "ax.scatter(bs, signals / n_walkers, s=10, marker=\"o\")\n", "ax.legend([\"Analytical signal\", \"Simulated signal\"])\n", "ax.set_xlabel(\"b (ms/μm$^2$)\")\n", "ax.set_ylabel(\"S/S$_0$\")\n", "ax.set_yscale(\"log\")\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "M9uMkHEha4d0" }, "source": [ "## Restricted diffusion and comparison to MISST\n", "\n", "Here, diffusion inside cylinders and spheres is simulated and the signals are compared to those calculated with [MISST](http://mig.cs.ucl.ac.uk/index.php?n=Tutorial.MISST) that uses matrix operators to calculate the signal from simple geometries. The cylinder is simulated using a triangular mesh and the sphere as an analytically defined surface." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 297 }, "id": "31_UbNxC6rhS", "outputId": "7c4b3de6-19aa-46a0-90f8-013fc6b892d6" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Aligning the corner of the simulated voxel with the origin\n", "Moved the vertices by [0. 0. 0.]\n", "Dividing the mesh into subvoxels\n", "Finished dividing the mesh into subvoxels\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Load and show the cylinder mesh used in the simulations\n", "\n", "mesh_path = os.path.join(\n", " os.path.dirname(simulations.__file__), \"tests\", \"cylinder_mesh_closed.pkl\"\n", ")\n", "with open(mesh_path, \"rb\") as f:\n", " example_mesh = pickle.load(f)\n", "faces = example_mesh[\"faces\"]\n", "vertices = example_mesh[\"vertices\"]\n", "cylinder_substrate = substrates.mesh(vertices, faces, periodic=True, init_pos=\"intra\")\n", "utils.show_mesh(cylinder_substrate)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "id": "GOfXcVd7lq9F", "outputId": "0f271fcf-0a2e-494d-da0c-50d2c85add62" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Starting simulation\n", "Number of random walkers = 1000000\n", "Number of steps = 1000\n", "Step length = 9.169737405405026e-07 m\n", "Step duration = 7.007007007007008e-05 s\n", "Calculating initial positions\n", "Finished calculating initial positions\n", "Simulation finished\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Run the simulation\n", "\n", "signals = simulations.simulation(\n", " n_walkers, diffusivity, gradient, dt, cylinder_substrate\n", ")\n", "\n", "\n", "# Load MISST signals\n", "\n", "tests_dir = os.path.join(os.path.dirname(gradients.__file__), \"tests\")\n", "misst_signals = np.loadtxt(\n", " os.path.join(\n", " tests_dir, \"misst_cylinder_signal_smalldelta_30ms_bigdelta_40ms_radius_5um.txt\"\n", " )\n", ")\n", "\n", "\n", "# Plot the results\n", "\n", "fig, ax = plt.subplots(1, figsize=(7, 4))\n", "ax.scatter(bs, signals / n_walkers, s=10, marker=\"o\")\n", "ax.scatter(bs, misst_signals, s=10, marker=\".\")\n", "ax.set_xlabel(\"b (ms/μm$^2$)\")\n", "ax.set_ylabel(\"S/S$_0$\")\n", "ax.legend([\"Disimpy\", \"MISST\"])\n", "ax.set_title(\"Diffusion in a cylinder\")\n", "ax.set_yscale(\"log\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Starting simulation\n", "Number of random walkers = 1000000\n", "Number of steps = 1000\n", "Step length = 9.169737405405026e-07 m\n", "Step duration = 7.007007007007008e-05 s\n", "Simulation finished\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Run the simulation\n", "\n", "sphere_substrate = substrates.sphere(5e-6)\n", "signals = simulations.simulation(n_walkers, diffusivity, gradient, dt, sphere_substrate)\n", "\n", "\n", "# Load MISST signals\n", "\n", "tests_dir = os.path.join(os.path.dirname(gradients.__file__), \"tests\")\n", "misst_signals = np.loadtxt(\n", " os.path.join(\n", " tests_dir, \"misst_sphere_signal_smalldelta_30ms_bigdelta_40ms_radius_5um.txt\"\n", " )\n", ")\n", "\n", "\n", "# Plot the results\n", "\n", "fig, ax = plt.subplots(1, figsize=(7, 4))\n", "ax.scatter(bs, signals / n_walkers, s=10, marker=\"o\")\n", "ax.scatter(bs, misst_signals, s=10, marker=\".\")\n", "ax.set_xlabel(\"b (ms/μm$^2$)\")\n", "ax.set_ylabel(\"S/S$_0$\")\n", "ax.legend([\"Disimpy\", \"MISST\"])\n", "ax.set_title(\"Diffusion in a sphere\")\n", "ax.set_yscale(\"log\")\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "IDKCFF17Zlvl" }, "source": [ "## Signal diffraction pattern\n", "\n", "In the case of restricted diffusion in a cylinder perpendicular to the direction of the diffusion encoding gradient with short pulses and long diffusion time, the signal minimum occurs at $0.61 · 2 · \\pi/r$, where $r$ is the cylinder radius. Details are provided by [Avram et al.](https://doi.org/10.1002/nbm.1277), for example." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 657 }, "id": "-Zr5LU8_Zopl", "outputId": "01492a0e-bb9e-4650-cd3c-68fdef7dae9a" }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Starting simulation\n", "Number of random walkers = 1000000\n", "Number of steps = 1000\n", "Step length = 2.4531648982524633e-06 m\n", "Step duration = 0.0005015015015015015 s\n", "Simulation finished\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a Stejskal-Tanner gradient array with ∆ = 0.5 s and δ = 0.1 ms\n", "\n", "T = 501e-3\n", "gradient = np.zeros((1, n_t, 3))\n", "gradient[0, 1:2, 0] = 1\n", "gradient[0, -2:-1, 0] = -1\n", "dt = T / (gradient.shape[1] - 1)\n", "bs = np.linspace(1, 1e11, 250)\n", "gradient = np.concatenate([gradient for _ in bs], axis=0)\n", "gradient = gradients.set_b(gradient, dt, bs)\n", "q = gradients.calc_q(gradient, dt)\n", "qs = np.max(np.linalg.norm(q, axis=2), axis=1)\n", "\n", "\n", "# Show the waveform of the measurement with the highest b-value\n", "\n", "fig, ax = plt.subplots(1, figsize=(7, 4))\n", "for i in range(3):\n", " ax.plot(np.linspace(0, T, n_t), gradient[-1, :, i])\n", "ax.legend([\"G$_x$\", \"G$_y$\", \"G$_z$\"])\n", "ax.set_xlabel(\"Time (s)\")\n", "ax.set_ylabel(\"Gradient magnitude (T/m)\")\n", "plt.show()\n", "\n", "\n", "# Run the simulation\n", "\n", "radius = 10e-6\n", "substrate = substrates.cylinder(radius=radius, orientation=np.array([0.0, 0.0, 1.0]))\n", "signals = simulations.simulation(n_walkers, diffusivity, gradient, dt, substrate)\n", "\n", "\n", "# Plot the results\n", "\n", "fig, ax = plt.subplots(1, figsize=(7, 4))\n", "ax.scatter(1e-6 * qs, signals / n_walkers, s=10, marker=\"o\")\n", "minimum = 1e-6 * 0.61 * 2 * np.pi / radius\n", "ax.plot([minimum, minimum], [0, 1], ls=\"--\", lw=2, color=\"tab:orange\")\n", "ax.legend([\"Simulated signal\", \"Analytical minimum\"])\n", "ax.set_xlabel(\"q (μm$^{-1}$)\")\n", "ax.set_ylabel(\"S/S$_0$\")\n", "ax.set_yscale(\"log\")\n", "ax.set_ylim([1e-4, 1])\n", "ax.set_xlim([0, max(1e-6 * qs)])\n", "plt.show()" ] } ], "metadata": { "accelerator": "GPU", "colab": { "collapsed_sections": [], "machine_shape": "hm", "name": "validation.ipynb", "provenance": [] }, "kernelspec": { "display_name": "base", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.7" } }, "nbformat": 4, "nbformat_minor": 4 }