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PMID: 7310860 Published · ppublish English Journal Article

The flux ratio equation under nonstationary conditions.

The Journal of membrane biology ·Vol. 63 ·No. 3 ·1981-00-00 ·Pages 233-42

Sten-Knudsen O, Ussing HH

Abstract

The time dependent (i.e., nonstationary) unidirectional fluxes through a multilayered system consisting of sandwiched layers of arbitrary composition and exhibiting arbitrary potential and resistance profiles have been calculated, assuming that the flux is governed by the Smoluchowski equation (i.e., a flux resulting from a diffusion process superimposed upon a migration and/or a convection process, where part of the latter may arise from an active transport process). It is shown that during the building up of the concentration profile of the isotope inside the system towards the stationary value the ratio between the two oppositely directed, time-dependent unidirectional fluxes is, from the very first appearance of the isotope in the surrounding solutions, equal to the value of the stationary flux ratio. The practical implications of this result are discussed.

MeSH Terms
Biological Transport Kinetics Mathematics Membranes/metabolism Models, Biological
Authors & Affiliations
2 authors, click to expand affiliations / ORCID
Sten-Knudsen O
Ussing H H
References (4)
4 references, click to expand
  1. The contributions of diffusion and flow to the passage of D2O through living membranes; effect of neurohypophyseal hormone on isolated anuran skin.
    Acta Physiol Scand. 1953 Mar 31;28(1):60-76 PMID: 13065150
  2. THE RELATIONSHIP OF USSING'S FLUX-RATIO EQUATION TO THE THERMODYNAMIC DESCRIPTION OF MEMBRANE PERMEABILITY.
    Biochim Biophys Acta. 1964 Mar 30;79:301-17 PMID: 14163515
  3. Some aspects of the application of tracers in permeability studies.
    Adv Enzymol Relat Subj Biochem. 1952;13:21-65 PMID: 14943664
  4. Isotope flows and flux ratios in biological membranes.
    J Gen Physiol. 1965 Jul;48(6):1047-70 PMID: 5855508
Article Info
Journal
The Journal of membrane biology
Abbr.
J Membr Biol
ISSN
0022-2631
Published
1981-00-00
Pages
233-42
Language
English
Region
United States
NLM ID
0211301
Subset
IM
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