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dc.contributor.authorHe, Yuan
dc.contributor.authorKeyes, David E.
dc.date.accessioned2015-08-03T10:38:44Z
dc.date.available2015-08-03T10:38:44Z
dc.date.issued2012-12-04
dc.identifier.citationHe, Y., & Keyes, D. E. (2012). Large-scale parameter extraction in electrocardiology models through Born approximation. Inverse Problems, 29(1), 015001. doi:10.1088/0266-5611/29/1/015001
dc.identifier.issn02665611
dc.identifier.doi10.1088/0266-5611/29/1/015001
dc.identifier.urihttp://hdl.handle.net/10754/562453
dc.description.abstractOne of the main objectives in electrocardiology is to extract physical properties of cardiac tissues from measured information on electrical activity of the heart. Mathematically, this is an inverse problem for reconstructing coefficients in electrocardiology models from partial knowledge of the solutions of the models. In this work, we consider such parameter extraction problems for two well-studied electrocardiology models: the bidomain model and the FitzHugh-Nagumo model. We propose a systematic reconstruction method based on the Born approximation of the original nonlinear inverse problem. We describe a two-step procedure that allows us to reconstruct not only perturbations of the unknowns, but also the backgrounds around which the linearization is performed. We show some numerical simulations under various conditions to demonstrate the performance of our method. We also introduce a parameterization strategy using eigenfunctions of the Laplacian operator to reduce the number of unknowns in the parameter extraction problem. © 2013 IOP Publishing Ltd.
dc.description.sponsorshipWe would like to thank the anonymous referees for their constructive comments which improved the quality of this work. The work of YH is supported partially by an ICES Fellowship from the University of Texas at Austin.
dc.publisherIOP Publishing
dc.titleLarge-scale parameter extraction in electrocardiology models through Born approximation
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentExtreme Computing Research Center
dc.identifier.journalInverse Problems
dc.contributor.institutionInstitute for Computational Science and Engineering, University of Texas at Austin, Austin, TX 78712, United States
dc.contributor.institutionDepartment of Applied Physics and Applied Mathematics, Columbia University, New York, NY 10027, United States
kaust.personKeyes, David E.
dc.date.published-online2012-12-04
dc.date.published-print2013-01-01


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