Authors

Citation

A. Mcnabb et al., A flux ratio theorem for multicomponent linear diffusion equations, APPL MATH L, 14(1), 2001, pp. 123-129

Citations number

5

Language

INGLESE

art.tipo

Article

Categorie Soggetti

Mathematics

Journal title

APPLIED MATHEMATICS LETTERS

ISSN journal

0893-9659
→ ACNP

Volume

14

Issue

1

Year of publication

2001

Pages

123 - 129

Database

ISI

SICI code

0893-9659(200101)14:1<123:AFRTFM>2.0.ZU;2-N

Abstract

Ussing [1] considered the steady flux of a single chemical component diffus
ing through a membrane under the influence of chemical potentials and deriv
ed from his linear model, an expression for the ratio of this flux and that
of the complementary experiment in which the boundary conditions were inte
rchanged. Here, an extension of Ussing's flux ratio theorem is obtained for
n chemically interacting components governed by a linear system of diffusi
on-migration equations that may also incorporate linear temporary trapping
reactions. The determinants of the output flux matrices for complementary e
xperiments are shown to satisfy an Ussing flux ratio formula for steady sta
te conditions of the same form as for the well-known one-component case. (C
) 2000 Elsevier Science Ltd. All rights reserved.