Heterogeneity of membrane transport quantified by the analysis of a unidirectional flux transient of charged tracer

Bass L., Maloney L.V. and Young M.O. (1989) Heterogeneity of membrane transport quantified by the analysis of a unidirectional flux transient of charged tracer. Mathematical Biosciences, 94 1: 31-44. doi:10.1016/0025-5564(89)90071-0


Author Bass L.
Maloney L.V.
Young M.O.
Title Heterogeneity of membrane transport quantified by the analysis of a unidirectional flux transient of charged tracer
Journal name Mathematical Biosciences   Check publisher's open access policy
ISSN 0025-5564
Publication date 1989-01-01
Sub-type Article (original research)
DOI 10.1016/0025-5564(89)90071-0
Open Access Status
Volume 94
Issue 1
Start page 31
End page 44
Total pages 14
Subject 1100 Agricultural and Biological Sciences
1105 Dentistry
Abstract A planar mosaic membrane consists of patches, each with a given area, diffusion coefficient, and mobility of charged tracer; a common electric field, constant in space and time, lies across all the patches. Given the properties of the patches, the transient of the total unidirectional flux (summed over the patches) is predictable. Here we deal with the inverse problem: Given only the observed transient of the total unidirectional flux (as defined experimentally by Ussing), the unknown transport heterogeneity of the mosaic membrane is to be analyzed. Results obtained previously for uncharged tracers are generalized to include effects of the field. In particular, the ratio of the arithmetic and harmonic means (both area-weighted) of the diffusion coefficients, evaluated over the membrane, is expressed in terms of only the observed transient and the field strength and is used to characterize the heterogeneity; and the unique exact solution of the inverse problem for two kinds of patches is recovered at any field strength. If the mosaic consists of n distinct kinds of patches, a sweep of the field strength from low to high values reveals (at most) n steplike shapes in the time course of the total unidirectional flux (normalized to its final steady value), which permit an approximate analysis of the heterogeneity by elementary means.
Q-Index Code C1
Institutional Status Unknown

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