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Oxygen diffusion in tissue preparations with Michaelis-Menten kinetics
Publikationstyp
Journal Article
Date Issued
1997-03-07
Sprache
English
Author(s)
Institut
TORE-URI
Journal
Volume
185
Issue
1
Start Page
119
End Page
127
Citation
Journal of Theoretical Biology 1 (185): 119-127 (1997-03-07)
Publisher DOI
Scopus ID
PubMed ID
9093557
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.
DDC Class
570: Biowissenschaften, Biologie