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Modelling the behavior of the left ventricle. (Sur une modélisation du fonctionnement du ventricule gauche.) (French) Zbl 0887.76104

Summary: A modelling of the mechanical behavior of the left ventricle is described using a system of coupled partial differential equations, which are defined on domains depending on the solution. This problem presents two main difficulties: simultaneous coupling of equations and evolution of the domains. A discrete modelling is investigated, and a comparison is made between a simulation with fixed domains during the cardiac cycle and a simulation that takes into account the evolution of the geometries.

MSC:

76Z05 Physiological flows
76D05 Navier-Stokes equations for incompressible viscous fluids
92C10 Biomechanics
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
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