Title :

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

Author(s) :

Poulain, Alexandre [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Simula Research Laboratory [OSLO]
Riseth, Jørgen [Auteur]
Simula Research Laboratory [OSLO]
Vinje, Vegard [Auteur]
Simula Research Laboratory [OSLO]

Journal title :

PLoS One

Pages :

e0280501

Publisher :

Public Library of Science

Publication date :

2023-03-07

ISSN :

1932-6203

HAL domain(s) :

Mathématiques [math]
Mathématiques [math]/Equations aux dérivées partielles [math.AP]
Sciences du Vivant [q-bio]

English abstract : [en]

The Glymphatic system is the subject of numerous pieces of research in Biology. Mathematical modeling plays a considerable role in this field since it can indicate the possible physical effects in this system and validate ...
Show more >The Glymphatic system is the subject of numerous pieces of research in Biology. Mathematical modeling plays a considerable role in this field since it can indicate the possible physical effects in 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 for each compartment: One equation for the pressure of a fluid and one for the mass concentration of a molecule. The fluid and solute can move from one compartment to another according to certain membrane conditions modeled by transfer functions. We propose to apply this new modeling framework to the clearance of 14 C-inulin from the rat brain.Show less >

Language :

Anglais

Popular science :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL