Oxygen Diffusion in Tissue Preparations with Michaelis–Menten Kinetics

✍ Scribed by Andrew P. Bassom; Achim Ilchmann; Heinrich Voß

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 366 KB
• Volume: 185
• Category: Article
• ISSN: 0022-5193
• DOI: 10.1006/jtbi.1996.0298

✦ Synopsis

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.