The unidirectional flux transient as a tool for quantifying parallel diffusional pathways through membranes. Exact solution for two pathways

Bass L. (1985) The unidirectional flux transient as a tool for quantifying parallel diffusional pathways through membranes. Exact solution for two pathways. Bulletin of Mathematical Biology, 47 3: 425-434. doi:10.1007/BF02459924


Author Bass L.
Title The unidirectional flux transient as a tool for quantifying parallel diffusional pathways through membranes. Exact solution for two pathways
Journal name Bulletin of Mathematical Biology   Check publisher's open access policy
ISSN 0092-8240
Publication date 1985
Sub-type Article (original research)
DOI 10.1007/BF02459924
Volume 47
Issue 3
Start page 425
End page 434
Total pages 10
Publisher Kluwer Academic Publishers
Subject 1100 Agricultural and Biological Sciences
Abstract If a plane membrane consists of patches, each with a given area and a given diffusion coefficient, then the transient of the total unidirectional flux of a diffusing substance (as defined experimentally by Ussing) is predictable. Here the inverse problem is studied: given only the observed transient of the total unidirectional diffusion flux, the unknown membrane heterogeneity transverse to the flux is to be quantified. The ratio of the arithmetic and of the harmonic means (both area-weighted) of the diffusion coefficients, evaluated over the membrane, is expressed in terms of the observed transient alone and is used to characterize the heterogeneity. A unique exact solution of the inverse problem for two kinds of patches is obtained in closed form. A singular limit of this solution pertains to currently postulated models of endothelial membranes, for which a characteristically shaped transient is predicted.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: Scopus Import
 
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