Project abstract for group tranquil

Perfusion of Tissue-engineered Microvessels

Knowledge is limited about fluid flow in tissues containing engineered microvessels, which can be substantially different in topology than native capillary networks. A need exists for a computational model that allows for flow through tissues dense in non-percolating and possibly non-perfusable microvessels to be efficiently evaluated. A mathematical model based on laminar flow through a distribution of straight tubes and Darcy flow through the interstitium was developed to describe fluid flow through a tissue containing engineered microvessels. A corresponding finite difference model was developed further assuming Poiseuille flow through tubes with infinitesimal radius. Accuracy of the finite difference model was assessed by comparison to a finite element model for the case of a single tube and two tubes in proximity. The potential utility of the finite difference model was then explored by correlating metrics of flow through the model tissue to microvessel morphometric properties for the case of a tissue with microvessels aligned with the flow but confined to the plane. The results indicate that the model can predict the density of perfused microvessels based on parameters that can be easily measured experimentally.