Reduced-order modeling for cardiac electrophysiology. Application to parameter identification

Details Reduced-order modeling for cardiac electrophysiology. Application to parameter identification Reduced-order modeling for cardiac electrophysiology. Application to parameter identification

2011-11-25

arxiv.org/abs/1111.5926v2

Mathematics

Numerical Analysis

No. RR-7811 (2011)

Scientific paper

A reduced-order model based on Proper Orthogonal Decomposition (POD) is proposed for the bidomain equations of cardiac electrophysiology. Its accuracy is assessed through electrocardiograms in various configurations, including myocardium infarctions and long-time simulations. We show in particular that a restitution curve can efficiently be approximated by this approach. The reduced-order model is then used in an inverse problem solved by an evolutionary algorithm. Some attempts are presented to identify ionic parameters and infarction locations from synthetic ECGs.

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