Mathematical models for the cardiovascular system

Mathematical models for the cardiovascular system: analysis,numerical simulation,applications The role of mathematics in understanding and simulating fluid dynamics and biochemical processes in the physiological and pathological functioning of the human cardiovascular system is becoming more and more crucial. These phenomena are indeed correlated with the origin of some major cardiovascular pathologies,and influence the efficacy of the treatments to heal the arteries from their diseases.  Mathematical models allow the description of the complex fluid-structure interaction which govern the  artery wall deformation under the pressure pulse. Moreover,appropriate reduction strategies can be devised to allow for an effective description of the interaction between large,3D components,and small 1D branches of the circulatory system,as well as the transfer of drugs and chemicals between the arterial lumen and the vessel wall.  This presentation will address some of these issues and a few representative applications.

Disciplines : Modélisation mathématique,Mécanique des fluides,Maladies de l'appareil cardio-vasculaire
Mots-clés : modéle mathématique,simulation numérique,imagerie médicale,dynamique des fluides,système cardiovasculaire,grille informatique
Type de document : image en mouvement
Type de ressource : lecture
Niveau : master,doctorat
Auteurs ou éditeurs : Alfio QUARTERONI,INRIA (Institut national de recherche en informatique et automatique),UNS,CNRS - Centre National de la Recherche Scientifique,Région PACA,INRIA (Institut national de recherche en informatique et automatique),VSP - Vidéo Sud Production