Numerical solution for PDE-constrained optimization problem in cardiac electrophysiology

In this paper, we present the numerical solution for the PDE-constrained optimization problem arises in cardiac electrophysiology. The monodomain model, which is a well-established model for simulating electrical behavior of the cardiac tissue, appears as the constraint in our problem. Our objective...

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Main Authors: Kin, Wei Ng, Ahmad, Rohanin
Format: Article
Published: Foundation of Computer Science 2012
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Online Access:http://eprints.utm.my/id/eprint/31113/
http://research.ijcaonline.org/volume44/number12/pxc3878655.pdf
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spelling my.utm.311132019-03-31T08:23:16Z http://eprints.utm.my/id/eprint/31113/ Numerical solution for PDE-constrained optimization problem in cardiac electrophysiology Kin, Wei Ng Ahmad, Rohanin Q Science In this paper, we present the numerical solution for the PDE-constrained optimization problem arises in cardiac electrophysiology. The monodomain model, which is a well-established model for simulating electrical behavior of the cardiac tissue, appears as the constraint in our problem. Our objective is to search for the optimal applied current, which is able to dampen out the excitation wavefront of the transmembrane potential during defibrillation process. The modified Dai-Yuan nonlinear conjugate gradient method is employed for computing the optimal applied current, and our numerical results show that the excitation wavefront is successfully dampened out by the optimal applied current. Foundation of Computer Science 2012-04 Article PeerReviewed Kin, Wei Ng and Ahmad, Rohanin (2012) Numerical solution for PDE-constrained optimization problem in cardiac electrophysiology. International Journal of Computer Applications, 44 (12). pp. 11-15. ISSN 0975-8887 http://research.ijcaonline.org/volume44/number12/pxc3878655.pdf
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic Q Science
spellingShingle Q Science
Kin, Wei Ng
Ahmad, Rohanin
Numerical solution for PDE-constrained optimization problem in cardiac electrophysiology
description In this paper, we present the numerical solution for the PDE-constrained optimization problem arises in cardiac electrophysiology. The monodomain model, which is a well-established model for simulating electrical behavior of the cardiac tissue, appears as the constraint in our problem. Our objective is to search for the optimal applied current, which is able to dampen out the excitation wavefront of the transmembrane potential during defibrillation process. The modified Dai-Yuan nonlinear conjugate gradient method is employed for computing the optimal applied current, and our numerical results show that the excitation wavefront is successfully dampened out by the optimal applied current.
format Article
author Kin, Wei Ng
Ahmad, Rohanin
author_facet Kin, Wei Ng
Ahmad, Rohanin
author_sort Kin, Wei Ng
title Numerical solution for PDE-constrained optimization problem in cardiac electrophysiology
title_short Numerical solution for PDE-constrained optimization problem in cardiac electrophysiology
title_full Numerical solution for PDE-constrained optimization problem in cardiac electrophysiology
title_fullStr Numerical solution for PDE-constrained optimization problem in cardiac electrophysiology
title_full_unstemmed Numerical solution for PDE-constrained optimization problem in cardiac electrophysiology
title_sort numerical solution for pde-constrained optimization problem in cardiac electrophysiology
publisher Foundation of Computer Science
publishDate 2012
url http://eprints.utm.my/id/eprint/31113/
http://research.ijcaonline.org/volume44/number12/pxc3878655.pdf
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