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

Muriel Boulakia 1, 2 Elisa Schenone 1, 2 Jean-Frédéric Gerbeau 1
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 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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International Journal for Numerical Methods in Biomedical Engineering, John Wiley and Sons, 2012, 28, pp.727-744. 〈10.1002/cnm.2465〉
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Muriel Boulakia, Elisa Schenone, Jean-Frédéric Gerbeau. Reduced-order modeling for cardiac electrophysiology. Application to parameter identification. International Journal for Numerical Methods in Biomedical Engineering, John Wiley and Sons, 2012, 28, pp.727-744. 〈10.1002/cnm.2465〉. 〈hal-00644396v2〉

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