Proceedings of the International Congress of Mathematicians
Madrid, August 22–30, 2006
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pp: 479–512
DOI: 10.4171/022-1/19
In this paper we introduce some basic differential models for the description of blood flow in the circulatory system. We comment on their mathematical properties, their meaningfulness and their limitation to yield realistic and accurate numerical simulations, and their contribution for a better understanding of cardiovascular physio-pathology.
Keywords: Cardiovascular mathematics, mathematical modeling, fluid dynamics, Navier–Stokes equations, numerical approximation, finite element method, differential equations