Multiscale modelling of liver perfusion
Eduard Rohan, Jana Turjanicová, Vladimír Lukeš · Digital Library (University of West Bohemia) · 2019
We compare two homogenized models of the microcirculation which rely on different assumptions. The first model has been derived by the homogenization of the mesoscopic structure with the double-porosity medium represented by the Biot model with large contrasts in the permeability coefficients constituting the Darcy law. The newly developed so-called Biot-Darcy-Brinkman (BDB) model is described in the paper; it arises from a two-stage homogenization of the fluid-structure interaction problem which requires geometric representations of the sinusoidal and the inter-lobular vasculatures associated with venous compartments, the portal and the hepatic veins. An illustrative example shows a good correspondence between the two models.