CARMEN Research team

Modélisation et calculs pour l'électrophysiologie cardiaque

Team presentation

The team Carmen develops some models and numerical methods in order to simulate the propagation of the cardiac action potential, from the cellular scale to the scale of the body. It aims at improving:
  • our knowledge and the treatment of electrical cardiac pathologies;
  • the exploitation of all available electrical signals.
Therefore, we want to incorporate the heterogeneities and coupling processes from intermediate scales into the macroscopic PDE models. They play a primary role in cardiac electrical arrhythmias. Meanwhile, we want to uses the models in order to solve the inverse problems related to non-invasive electrical imaging of the heart. Achieving these objectives is based on a cooperation with physiology, physiopathology and medicine. Hence, the team participates to the work plan of the IHU LIRYC in Bordeaux. It builds new models and powerful simulation tools that will help to understand the mechanisms behind cardiac arrhythmias and to establish personalized and optimized treatments. A particular challenge consists in making the simulations reliable and accessible to the medical community.

Research themes

  • New models for the propagation of the cardiac action potential: multiscale approaches, coupling between systems of partial differential equations.
  • Numerical analysis for reaction-diffusion equations, error estimates, high order methods, preconditionning.
  • Using numerical simulation to explore the behavior of the models.
  • Inverse problems in electrocardiology.

International and industrial relations

  • Institut du Thorax, INSERM U915, Nantes.
  • LMJL, UMR 6629 CNRS-UN-ECN, Nantes.
  • CNR-IMATI, Pavia, Italy.
  • Department of Mathematics and Statistic, University of Ottawa, Canada.

Keywords: Cardiac electrophysiology Scientific computing Numerical analysis Modelling

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