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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| Format: | Article |
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Foundation of Computer Science
2012
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| _version_ | 1796856825604210688 |
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| author | Kin, Wei Ng Ahmad, Rohanin |
| author_facet | Kin, Wei Ng Ahmad, Rohanin |
| author_sort | Kin, Wei Ng |
| collection | ePrints |
| 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. |
| first_indexed | 2024-03-05T18:48:51Z |
| format | Article |
| id | utm.eprints-31113 |
| institution | Universiti Teknologi Malaysia - ePrints |
| last_indexed | 2024-03-05T18:48:51Z |
| publishDate | 2012 |
| publisher | Foundation of Computer Science |
| record_format | dspace |
| spelling | utm.eprints-311132019-03-31T08:23:16Z http://eprints.utm.my/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 |
| spellingShingle | Q Science Kin, Wei Ng Ahmad, Rohanin Numerical solution for PDE-constrained optimization problem in cardiac electrophysiology |
| title | 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_short | Numerical solution for PDE-constrained optimization problem in cardiac electrophysiology |
| title_sort | numerical solution for pde constrained optimization problem in cardiac electrophysiology |
| topic | Q Science |
| work_keys_str_mv | AT kinweing numericalsolutionforpdeconstrainedoptimizationproblemincardiacelectrophysiology AT ahmadrohanin numericalsolutionforpdeconstrainedoptimizationproblemincardiacelectrophysiology |