Laurent Dumas
(Université Paris VI, Frane)
A numerical simulation of the human arterial network based on non invasive measurements
The numerical simulation of the human arterial network of a given patient in order to find the main characteristics of its arteries and thus to prevent from cardiovascular diseases is a major subject of interest. A simple fluid-structure interaction model for the simulation of blood flow in arteries is studied here. Derived from the general 3D equations, it computes the section area of the artery and the volumetric flux of the flow for each longitudinal position and time. The inverse problem corresponding to the identification of the main parameters of this model is successfully solved by using a reduced number of non invasive measurements. A discussion on the amount of information needed is in particular studied. Some first results based on experimental measurements with a Doppler technique called echotracking are also presented.