Boundary Homogenization and Numerical Modeling of Solute Transport Across the Blood-Brain Barrier.

ABSTRACT: Effective clearance of amyloid- β(Aβ ) from the brain is essential for preventing neurodegenerative diseases such as Alzheimer's. A significant portion of this clearance occurs through the blood-brain barrier (BBB) via receptor-mediated transport. However, current models fail to capture the complex kinetics and spatial heterogeneity of receptors at the BBB. In this study, we derive a novel boundary condition that accounts for finite receptor kinetics, receptor density, and bidirectional transport across the BBB. Specifically, we develop a nonlinear homogenized boundary condition that ensures mass conservation and incorporates receptor-mediated Michaelis-Menten kinetics. We then implement this boundary condition in a cylindrical geometry representing a capillary surrounded by brain tissue.

SUBMITTER: Yousofvand R 

PROVIDER: S-EPMC12236612 | biostudies-literature | 2025 Jul

REPOSITORIES: biostudies-literature