Abstract
A methematical description of a coupling between a chemical reaction, the diffusion through a cellular membrane and a fluid flow is presented. This coupling may occur at the membrane levels of the cells bathed by fluid flows (e.g. endothelial cells). By such a coupling, the fluid flow and the diffusion can act as drivers of some intracellular endergonic reactions.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature
Johnson, F. H., H. Eyring and M. J. Pollisar. 1954.The Kinetic Basis of Molecular Biology, pp. 517–522. New York: Wiley.
Katchalsky, A. and P. F. Curran. 1965.Non-equilibrium Thermodynamics in Biophysics, Cambridge, Mass: Harvard University Press.
Landau, L. and E. Lifchitz. 1971.Mécanique des Fluides, pp. 9–14. Éditions de Moscou.
Popescu, A. I. 1971. “Un model teoretic al cuplajului dintre ractiile biochimice şi difuzia printr-o membrană celulară.”St. Cerc. Biochim.,14, 177–189.
Prigogine, I. 1968.Introduction à la Thermodynamique des Processus Irrèversibles. Paris: Dunod.
Smirnov, V. I. 1972.Cours de Mathématiques Supérieurs, Tome I, pp. 443–453. Moscou: Éditions Mir.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Popescu, A.I., Popescu, A.A. A model of a physico-chomeical coupling of biological interest. Bltn Mathcal Biology 37, 51–57 (1975). https://doi.org/10.1007/BF02463491
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02463491