We study a mathematical model describing the nonlinear diffusion of oxygen in a living tissue, in presence of consumption due to metabolism. The tissue is perfused by a system of parallel capillaries in which oxygen is carried by the blood both in the form of gas freely diffusing in plasma and bound to hemoglobin. We prove global existence of a unique smooth solution to the resulting parabolic-hyperbolic system.
A diffusion-consumption problem for oxygen in a living tissue perfused by capillaries / MIKELIC A; M. PRIMICERIO. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - STAMPA. - 13:(2006), pp. 349-367. [10.1007/s00030-006-4008-x]
A diffusion-consumption problem for oxygen in a living tissue perfused by capillaries
PRIMICERIO, MARIO
2006
Abstract
We study a mathematical model describing the nonlinear diffusion of oxygen in a living tissue, in presence of consumption due to metabolism. The tissue is perfused by a system of parallel capillaries in which oxygen is carried by the blood both in the form of gas freely diffusing in plasma and bound to hemoglobin. We prove global existence of a unique smooth solution to the resulting parabolic-hyperbolic system.
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