Modeling water flow through arterial tissue
type: Item
instance of: scholarly article
title: Modeling water flow through arterial tissue
zbMATH Open document ID: 0626.92006
DOI: 10.1007/BF02481766
author: M. Klanchar
author: J. M. Tarbell
published in: Bulletin of Mathematical Biology
publication date: 1987-01-01T00:00:00Z
review text: A simple model of water flow through deformable porous media has been developed with emphasis on application to arterial walls. The model incorporates a strain-dependent permeability function into Darcy's Law which is coupled to the force balance for the bulk material. A simple analytical expression relating water flux (volume flux) to pressure differential is developed which shows how strain-dependent permeability can lead to a reduction in hydraulic conductivity with increasing differential pressure as observed in experiments with arteries. The variation of permeability with position in the wall, which may influence the convective diffusion of macromolecules, is determined for both cylindrical and planar segments and a marked influence of geometry is noted.
Mathematics Subject Classification ID: 92Cxx
Mathematics Subject Classification ID: 76Z05
zbMATH DE Number: 4018828
zbMATH Keywords: model of water flow
zbMATH Keywords: deformable porous media
zbMATH Keywords: arterial walls
zbMATH Keywords: strain- dependent permeability function
zbMATH Keywords: Darcy's Law
zbMATH Keywords: pressure differential
zbMATH Keywords: reduction in hydraulic conductivity
zbMATH Keywords: convective diffusion of macromolecules
zbMATH Keywords: cylindrical and planar segments
MaRDI profile type: Publication
Wikidata QID: Q43688781
cites work: Q3117187
description: scientific article; zbMATH DE number 4018828