|Abstract:|| This report collects the notes of two lectures given by L. Formaggia at VKI Lecture Series on Biological Fluid Dynamics held at the Von Karman Institute, Belgium, on May 2003.
Tyhey give a summary of some aspects of the research activity carried out by the authors at Politecnico di Milano and at EPFL, Lausanne, under the direction of prof. Alfio Quarteroni, aimed at providing mathematical models and numerical techniques for the simulation of the human cardiovascular system.
This report is subdivided in two chapters, in correspondence with the two lectures. The first deals with the derivation of one dimensional models for blood flow in arteries. The second is more specifically devoted to the description and analysis of the geometrical multiscale technique.|