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Article Dans Une Revue Advances in Computational Mathematics Année : 2015

Reduced order model in cardiac electrophysiology with approximated Lax pairs

Résumé

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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Dates et versions

hal-01093488 , version 1 (10-12-2014)
hal-01093488 , version 2 (07-12-2015)

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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, 2015, 41 (5), pp.1103-1130. ⟨10.1007/s10444-014-9393-9⟩. ⟨hal-01093488v2⟩
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