학술논문
A computational method for the covariance matrix associated with extracellular diffusivity on disordered models of cylindrical brain axons
Document Type
article
Source
Mathematical Biosciences and Engineering, Vol 18, Iss 5, Pp 4961-4970 (2021)
Subject
Language
English
ISSN
1551-0018
Abstract
This study developed a method to approximate the covariance matrix associated with the simulation of water molecular diffusion inside the brain tissue. The computation implements the Discontinuous Galerkin method of the diffusion equation. A physically consistent numerical flux is applied to model the interaction between the axon walls and extracellular regions. This numerical flux yields an efficient GPU-CUDA implementation. We consider the two-dimensional case of high axon pack density, valid, for instance, in the brain's corpus callosum region.