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Oxygen diffusion in tissue preparations with Michaelis-Menten kinetics

Citation

Bassom, AP and Ilchmann, A and Voss, H, Oxygen diffusion in tissue preparations with Michaelis-Menten kinetics, Journal of Theoretical Biology, 185, (1) pp. 119-127. ISSN 0022-5193 (1997) [Refereed Article]

Copyright Statement

Copyright 1997 Academic Press

DOI: doi:10.1006/jtbi.1996.0298

Abstract

A model is introduced for the oxygen consumption in thin vital tissue preparation. The steady uptake kinetics is modelled by a Michaelis–Menten form and for this case it proved that the resulting boundary value problem admits a unique solution for those parameter ranges typical of related physiological experiments. This solution is compared with Otto Warburg's hyperoxia model and with a hypoxia model. Useful and easily computed approximations are derived for the minimum oxygen supply across the tissue and some numerical solutions of the governing equations are discussed.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Applied Mathematics
Research Field:Theoretical and Applied Mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Bassom, AP (Professor Andrew Bassom)
ID Code:108029
Year Published:1997
Web of Science® Times Cited:9
Deposited By:Mathematics and Physics
Deposited On:2016-04-04
Last Modified:2016-07-08
Downloads:0

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