Speaker: Prof. Lorena Bociu, North Carolina State University

Title: Multiscale Interface Coupling of PDEs and ODEs for Tissue Perfusion

Abstract:

In biomechanics, local phenomena, such as tissue perfusion, are strictly related to
the global features of the whole blood circulation. We propose a heterogeneous
model where a local, accurate, 3D description of tissue perfusion by means of
poroelastic equations is coupled with a systemic 0D lumped model of the remainder
of the circulation. This represents a multiscale strategy, which couples an initial
boundary value problem to be used in a specific tissue region with an initial value
problem in the rest of the circulatory system. We discuss well-posedness analysis for
this multiscale model, as well as solution methods focused on a detailed comparison
between functional iterations and an energy-based operator splitting method and
how they handle the interface conditions.