Oxygen diffusion in tissue preparations with Michaelis-Menten kinetics.

  title={Oxygen diffusion in tissue preparations with Michaelis-Menten kinetics.},
  author={Andrew P. Bassom and Achim Ilchmann and Henning Voss},
  journal={Journal of theoretical biology},
  volume={185 1},
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… CONTINUE READING