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Colloquium J. Morgenstern

Mathematical models for the cardiovascular system: analysis, numerical simulation, applications

Alfio Quarteroni Alfio Quarteroni

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.

  • Date : 9/06/2011
  • Place : Amphi Ouest - Polytech'Nice Sophia - Sophia Antipolis
  • Guest(s) : Alfio Quarteroni - EPFL
  • Organiser(s) : Inria, I3S, Polytech'Nice Sophia, CNRS, UNS

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.

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Keywords: Cardiovascular system Colloquium J. Morgenstern Inria Sophia Antipolis - Méditerranée Mathématiques Mathematical models Numerical simulation