We first study a mathematical model describing diffusion of the oxygen that is supplied to a sample of living tissue by blood flowing in a capillary. Hence, through a homogenization procedure, we model blood perfusion of a muscle by microcirculation as a diffusion-consumption problem in a continuum possessing suitably averaged properties.
Blood perfusion in muscles: from microscopic models to continuum approach via homogenization / MIKELIC A; M. PRIMICERIO. - STAMPA. - (2004), pp. 321-333. (Intervento presentato al convegno WASCOM) [10.1142/9789812702937_0038].
Blood perfusion in muscles: from microscopic models to continuum approach via homogenization
PRIMICERIO, MARIO
2004
Abstract
We first study a mathematical model describing diffusion of the oxygen that is supplied to a sample of living tissue by blood flowing in a capillary. Hence, through a homogenization procedure, we model blood perfusion of a muscle by microcirculation as a diffusion-consumption problem in a continuum possessing suitably averaged properties.
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