Applying Polynomial Chaos Expansions to Evaluate the Effect of Tissue Non-Homogeneous Properties in Biotransport

Modeling drug transport in tissues has recently gained a lot of attention in the bioengineering community due its vast areas of applications [1]. Such injections often employ a positive pressure infusion directly in the target tissue. It is often referred to as convection enhanced delivery. There are several studies that addressed this problem in the literature. These studies rely on mathematical models of flow in porous media (Darcy, Brinkman...) and are successful in accounting for the existence of capillaries, tissue metabolism, etc. However, these models rely on the assumption that the tissue properties (e.g. permeability) are uniform inside tumors. MicroCT imaging following nanofluid infusion often reveals highly irregular distributions due to the spatial heterogeneity of the tissue [2].