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Reduced order model in cardiac electrophysiology with approximated Lax pairs

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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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Authors and Affiliations

  1. Inria Paris-Rocquencourt, B.P. 105 Domaine de Voluceau, 78153, Le Chesnay, France

    Jean-Frédéric Gerbeau, Damiano Lombardi & Elisa Schenone

  2. UMR 7598 Laboratoire Jacques-Louis Lions, Sorbonne Universités UPMC Univ Paris 6, 75005, Paris, France

    Jean-Frédéric Gerbeau, Damiano Lombardi & Elisa Schenone

Authors
  1. Jean-Frédéric Gerbeau
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  2. Damiano Lombardi
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  3. Elisa Schenone
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Correspondence to Elisa Schenone.

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Gerbeau, JF., Lombardi, D. & Schenone, E. Reduced order model in cardiac electrophysiology with approximated Lax pairs. Adv Comput Math 41, 1103–1130 (2015). https://doi.org/10.1007/s10444-014-9393-9

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  • DOI: https://doi.org/10.1007/s10444-014-9393-9

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