Publisher DOI: 10.1006/jtbi.1996.0298
Title: Oxygen diffusion in tissue preparations with Michaelis-Menten kinetics
Language: English
Authors: Bassom, Andrew P. 
Ilchmann, Achim 
Voß, Heinrich 
Issue Date: 7-Mar-1997
Source: Journal of Theoretical Biology 1 (185): 119-127 (1997-03-07)
Abstract (english): 
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.
URI: http://hdl.handle.net/11420/7033
ISSN: 1095-8541
Journal: Journal of theoretical biology 
Institute: Mathematik E-10 
Document Type: Article
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