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.
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Journal articles
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https://hal.inria.fr/hal-01093488
Contributor : Damiano Lombardi <>
Submitted on : Wednesday, December 10, 2014 - 4:55:34 PM
Last modification on : Wednesday, May 15, 2019 - 3:50:38 AM

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

Citation

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. ⟨10.1007⟩. ⟨hal-01093488⟩

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