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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 |
| UTAS Author: | Bassom, AP (Professor Andrew Bassom) |
| ID Code: | 108029 |
| Year Published: | 1997 |
| Web of Science® Times Cited: | 11 |
| Deposited By: | Mathematics and Physics |
| Deposited On: | 2016-04-04 |
| Last Modified: | 2016-07-08 |
| Downloads: | 0 |
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