OXYGEN DIFFUSION IN TISSUE PREPARATIONS WITH MICHAELIS-MENTEN KINETICS

A model is introduced for the oxygen consumption in thin vital tissue preparation. The steady uptake kinetics is modelled by a Michaelis-Men ten form and for this case it proved that the resulting boundary value problem admits a unique solution for those parameter ranges typical o f related physiological experiments. This solution is compared with Ot to Warburg's hyperoxia model and with a hypoxia model. Useful and easi ly computed approximations are derived for the minimum oxygen supply a cross the tissue and some numerical solutions of the governing equatio ns are discussed. (C) 1997 Academic Press Limited.