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 |
Appears in Collections: | Publications without fulltext |
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