Geometrically Reduced Modelling of Pulsatile Flow in Perivascular Networks

Flow of cerebrospinal fluid in perivascular spaces is a key mechanism underlying brain transport and clearance. In this paper, we present mathematical numerical formalism for reduced models pulsatile viscous flow networks generalized annular cylinders. We apply framework to study induced by pressure differences, cardiac pulse wave-induced vascular wall motion vasomotion. The provide approximations the cross-section average flux, both defined over topologically one-dimensional centerlines network geometry. Comparing full model predictions, find that capture characteristics accurate flux predictions across range idealized image-based scenarios investigated—at fraction computational cost corresponding models. presented thus provides robust effective approach large scale in-silico studies transport.