Reduced order model in cardiac electrophysiology with approximated Lax pairs

Jean-Frédéric Gerbeau 1 Damiano Lombardi 1 Elisa Schenone 1
1 REO - Numerical simulation of biological flows
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, UPMC - Université Pierre et Marie Curie - Paris 6
Abstract : A reduced-order method based on Approximated Lax Pairs (ALP) is applied to the integration of electrophysiology models. These are often high- dimensional parametric equation systems, challenging from a model reduction stand- point. The method is tested on two and three dimensional test-cases, of increasing complexity. The solutions are compared to the ones obtained by a finite element. The reduced-order simulation of pseudo-electrocardiograms based on ALP is proposed in the last part.
Type de document :
Article dans une revue
Advances in Computational Mathematics, Springer Verlag, 2014, pp.28. 〈Springer〉. 〈10.1007〉
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https://hal.inria.fr/hal-01093488
Contributeur : Damiano Lombardi <>
Soumis le : mercredi 10 décembre 2014 - 16:55:34
Dernière modification le : vendredi 31 août 2018 - 09:06:03

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  • HAL Id : hal-01093488, version 1
  • DOI : 10.1007

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Jean-Frédéric Gerbeau, Damiano Lombardi, Elisa Schenone. Reduced order model in cardiac electrophysiology with approximated Lax pairs. Advances in Computational Mathematics, Springer Verlag, 2014, pp.28. 〈Springer〉. 〈10.1007〉. 〈hal-01093488〉

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