Author/Authors :
Kovtanyuk, Andrey E Technische Universität München - Ismaningerstr - München, Germany , Chebotarev, Alexander Yu Far Eastern Federal University - Sukhanova st - Vladivostok, Russia , Botkin, Nikolai D Technische Universität München - Boltzmannstr - Garching bei München, Germany , Turova, Varvara L Technische Universität München - Ismaningerstr - München, Germany , Sidorenko, Irina N Technische Universität München - Boltzmannstr - Garching bei München, Germany , Lampe, Renée Technische Universität München - Ismaningerstr - München, Germany
Abstract :
The paper addresses the mathematical study of a nonstationary continuum model describing oxygen propagation in cerebral
substance. The model allows to estimate the rate of oxygen saturation and stabilization of oxygen concentration in relatively
large parts of cerebral tissue. A theoretical and numerical analysis of the model is performed. The unique solvability of the
underlying initial-boundary value problem for a system of coupled nonlinear parabolic equations is proved. In the numerical
experiment, the tissue oxygen saturation after hypoxia is analyzed for the case when a sufficient amount of oxygen begins to
flow into the capillary network. A fast stabilization of the tissue oxygen concentration is demonstrated. The reliability of the
results of the numerical simulation is discussed.
Keywords :
Oxygen , Tissue , Nonstationary , blood
