  The simulation of complex biological systems such as the description of blood
flow in organs requires a lot of computational power as well as a detailed
description of the organ physiology. We present a novel Least-Squares
discretization method for the simulation of sinusoidal blood flow in liver
lobules using a porous medium approach for the liver tissue. The scaling of the
different Least-Squares terms leads to a robust algorithm and the inherent
error estimator provides an efficient refinement strategy.
