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Reduced order model in cardiac electrophysiology with approximated Lax pairs

Jean-Frédéric Gerbeau 1 Damiano Lombardi 1 Elisa Schenone 1, 2
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 standpoint. 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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https://hal.archives-ouvertes.fr/hal-01093488
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Submitted on : Monday, December 7, 2015 - 11:10:07 AM
Last modification on : Thursday, August 6, 2020 - 10:46:19 AM
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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, 2015, 41 (5), pp.1103-1130. ⟨10.1007/s10444-014-9393-9⟩. ⟨hal-01093488v2⟩

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