Mathematical studies of capillary-tissue exchange
type: Item
instance of: scholarly article
title: Mathematical studies of capillary-tissue exchange
zbMATH Open document ID: 0661.92005
DOI: 10.1007/BF02458884
published in: Bulletin of Mathematical Biology
publication date: 1988-01-01T00:00:00Z
review text: The author has tried to provide exact solutions to a general model for capillary-tissue exchange. A general mathematical theory has been formulated with the presentation of the governing equations. In case of small solutes which diffuse through the tissues the assumption is made that transcapillary flux is governed by diffusion alone, at a rate proportional to the concentration difference across the capillary wall and that the convective transport is negligible. In case of larger solutes which move through the interstitial space the author has limited himself to the special case where transcapillary flux is by convection with the filtered fluid. The analysis of the full problem has been presented nicely and solutions of arbitrarily high degree of accuracy have been obtained.
Mathematics Subject Classification ID: 92Cxx
Mathematics Subject Classification ID: 76Z05
zbMATH DE Number: 4081348
zbMATH Keywords: exact solutions
zbMATH Keywords: general model
zbMATH Keywords: capillary-tissue exchange
zbMATH Keywords: transcapillary flux
author: Eric P. Salathé
MaRDI profile type: Publication
Wikidata QID: Q67998539
cites work: Substrate concentrations in tissue surrounding single capillaries
cites work: Q3292196
full work available at URL: https://doi.org/10.1007/bf02458884
OpenAlex ID: W2002424656
description: scientific article; zbMATH DE number 4081348