{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Defining a Lesion" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Conducting a lesion analysis in ConWhAt is extremely simple. All that is needed is a binary `.nii` format lesion mask, with ones indicating lesioned tissue, and zeros elsewhere. \n", "\n", "\n", ">(Note: we terms like 'lesion' and 'damage' throughout most of this documentation, as that is the most natural primary context for ConWhAt analyses. Remember however that all we are doing at the end of the day is doing a set of look-up operations between a list of standard space coordinates on the one hand (as defined by non-zero values in a `.nii` image), and the spatial locations of each 'connectome edge' - i.e. each entry in our anatomical connectivity matrix. One can envisave many alternative interpretations/applications of this procedure; for example to map the connectivity effects of magnetic field or current distributions from nonivasive brain stimulation). Still, for concreteness and simplicity, we stick with 'lesion', 'damage', etc. for the most part. )\n", "\n", "\n", "A common way to obtain a lesion map is to from a patient's T1-weighted MR image. Although this can be done manually, it is strongly recommended to use an automated lesion segmentation tools, followed by manual editing. \n", "\n", "An alternative way is simply to define a lesion location using standard space coordinates, and build a 'lesion' mask *de-novo*. This is what we do in the following example. On the next page we do a ConWhAt connectome-based decomposition analysis on this 'synthetic' lesion mask.\n", "\n", "---" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "# ConWhAt stuff\n", "from conwhat import VolConnAtlas,StreamConnAtlas,VolTractAtlas,StreamTractAtlas\n", "from conwhat.viz.volume import plot_vol_and_rois_nilearn\n", "\n", "# Neuroimaging stuff\n", "import nibabel as nib\n", "from nilearn.plotting import plot_roi\n", "from nipy.labs.spatial_models.mroi import subdomain_from_balls\n", "from nipy.labs.spatial_models.discrete_domain import grid_domain_from_image\n", "\n", "# Viz stuff\n", "%matplotlib inline\n", "from matplotlib import pyplot as plt\n", "\n", "# Generic stuff\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define some variables" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "# Locate the standard space template image\n", "fsl_dir = '/global/software/fsl/5.0.10'\n", "t1_mni_file = fsl_dir + '/data/standard/MNI152_T1_1mm_brain.nii.gz'\n", "t1_mni_img = nib.load(t1_mni_file)\n", "\n", "# This is the output we will save to file and use in the next example\n", "lesion_file = 'synthetic_lesion_20mm_sphere_-46_-60_6.nii.gz'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define the 'synthetic lesion' location and size using standard (MNI) space coordinates" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "com = [-46,-60,6] # com = centre of mass\n", "rad = 20 # radius" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Create the ROI" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "domain = grid_domain_from_image(t1_mni_img)\n", "lesion_img = subdomain_from_balls(domain,np.array([com]), np.array([rad])).to_image()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot on brain slices" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_roi(lesion_img,bg_img=t1_mni_img,black_bg=False);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Save to file" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "lesion_img.to_filename(lesion_file)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "...now we move on to doing a lesion analysis with this file. " ] } ], "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" }, "nbTranslate": { "displayLangs": [ "*" ], "hotkey": "alt-t", "langInMainMenu": true, "sourceLang": "en", "targetLang": "fr", "useGoogleTranslate": true }, "toc": { "nav_menu": {}, "number_sections": false, "sideBar": false, "skip_h1_title": false, "toc_cell": false, "toc_position": {}, "toc_section_display": "block", "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 2 }