The here presented 3D-FEM model describes of microperfusion in liver lobules with the main focus on the remodeling of the microperfusion after a hepato-venous outflow obstruction caused for example by liver resection. Via a dilatation and reorientation of small vessels within the lobule, the so called sinusoids, a connection between the obstructed and normal drained areas is established. For the remodeling of the microperfusion the phenomenological approach, namely that the reorientation of the sinusoids mainly depends on the blood pressure gradient, is applied. A biphasic homogenized approach within the framework of the theory of porous media (TPM) is chosen for the modeling of the microperfusion. This work sums up the constitutive equations for the biphasic model regarding the filter velocity and transversely isotropic permeability depending on our phenomenological approach. (© 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)