eCite Digital Repository
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 |
Repository Staff Only: item control page