Reduced order model in cardiac electrophysiology with approximated Lax pairs

被引：11

作者：

Gerbeau, Jean-Frederic ^{[1
,2
]}

Lombardi, Damiano ^{[1
,2
]}

Schenone, Elisa ^{[1
,2
]}

机构：

[1] Inria Paris Rocquencourt, F-78153 Le Chesnay, France

[2] Univ Paris 06, Sorbonne Univ, Lab Jacques Louis Lions, UMR 7598, F-75005 Paris, France

来源：

ADVANCES IN COMPUTATIONAL MATHEMATICS | 2015年 / 41卷 / 05期

关键词：

Reduced order models; Approximated Lax pairs; Cardiac electrophysiology; PARTIAL-DIFFERENTIAL-EQUATIONS; DYNAMICALLY BIORTHOGONAL METHOD; EMPIRICAL INTERPOLATION; REDUCTION; EVOLUTION;

D O I：

10.1007/s10444-014-9393-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1103 / 1130

页数：28

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