Biomathematics / Computational Biology Colloquium
A one-dimensional vessel network model for the Fontan circulation
Speaker: Charles Puelz, Courant Institute of Mathematical Sciences, New York University
Location: Warren Weaver Hall 1314
Date: Tuesday, October 2, 2018, 12:25 p.m.
In this talk, we describe a mathematical model for the Fontan physiology, a typical post-surgical circulation for patients with particular congenital heart defects. Our main motivation is the study of a defect called hypoplastic left heart syndrome. The model contains a description of blood flow and pressure along the axial dimension of the larger vessel networks, and is derived from asymptotic reduction of the three dimensional axially symmetric Navier-Stokes equations. Several variations of this model exist and will be briefly discussed in this talk as well. The organs and heart are modeled as systems of algebraic and ordinary differential equations, and are coupled to the model for the vessel networks. We also superimpose onto the model for blood flow a simple algebraic model of oxygen transport. This setup is used to computationally study two surgical modifications to the standard Fontan physiology, allowing us to experimentally investigate the impact of these modifications on hemodynamics and oxygen transport.