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Updated: Oct 20, 2025
Real-time Iontophoresis with Tetramethylammonium to Quantify Volume Fraction and Tortuosity of Brain Extracellular Space
Published on: July 24, 2017
A computational method for the covariance matrix associated with extracellular diffusivity on disordered models of
Daniel Cervantes1, Miguel Angel Moreles2, Joaquin Peña2
1INFOTEC, Av. San Fernando 37, Col. Toriello Guerra, Tlalpan, Ciudad de Mexico 14050, Mexico.
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.
