title: Oxygen diffusion in tissue preparations with Michaelis-Menten kinetics.
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.
authors.affiliation: Department of Mathematics, University of Exeter, U.K.
authors.forename: A P
authors.initials: AP
authors.lastname: Bassom
authors.forename: A
authors.initials: A
authors.lastname: Ilchmann
authors.forename: H
authors.initials: H
authors.lastname: Voss
mesh_terms: D046508:Culture Techniques; D004058:Diffusion; D006801:Humans; D007700:Kinetics; D008867:Microtomy; D008954:Models, Biological; D010100:Oxygen / Q000378:metabolism*; D010101:Oxygen Consumption
chemical_list: D010100:Oxygen