Multi-compartmental model of glymphatic clearance of solutes in brain tissue.

ABSTRACT: The glymphatic system is the subject of numerous pieces of research in biology. Mathematical modelling plays a considerable role in this field since it can indicate the possible physical effects of this system and validate the biologists' hypotheses. The available mathematical models that describe the system at the scale of the brain (i.e. the macroscopic scale) are often solely based on the diffusion equation and do not consider the fine structures formed by the perivascular spaces. We therefore propose a mathematical model representing the time and space evolution of a mixture flowing through multiple compartments of the brain. We adopt a macroscopic point of view in which the compartments are all present at any point in space. The equations system is composed of two coupled equations fo

SUBMITTER: Poulain A 

PROVIDER: S-EPMC9990927 | biostudies-literature | 2023

REPOSITORIES: biostudies-literature