Computational models for coupling tissue perfusion and microcirculation
Wednesday 29th May 2013
Cattaneo, Laura; Zunino, Paolo
The aim of this work is to develop a computational model able to capture the interplay between microcurculation and interstitial tissue perfusion. Such phenomena are at the basis of the exchange of nutrients, wastes and pharmacological agents between the cardiovascular system and the organs. They are particularly interesting for the study of effective targeting techniques to treat vascularized tumors with drugs. We develop a model applicable at the microscopic scale, where the capillaries and the interstitial volume can be described as independent structures capable to propagate flow. We facilitate the analysis of complex configurations of the capillary bed, by representing the capillaries as a one-dimensional network, ending up with a heterogeneous system characterized by channels embedded into a porous medium. We use the immersed boundary method to couple the one-dimensional with the three-dimensional flow through the network and the interstitial volume, respectively. The main idea consists in replacing the immersed network with an equivalent concentrated source. After dealing with the issues arising in the implementation of a computational solver, we apply it to compare tissue perfusion between healthy and tumor tissue samples.