The Effects of Control Domain Position on Optimal Control of Cardiac Arrhythmia
We study the effects of control domain position on optimal control problem of cardiac arrhythmia. The well-established mathematical model, namely, the monodomain model, is used to represent the electrical behavior of the cardiac tissue. Two test cases are considered in this paper: the control domain...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/468189 |
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| _version_ | 1850169271755210752 |
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| author | Kin Wei Ng Ahmad Rohanin |
| author_facet | Kin Wei Ng Ahmad Rohanin |
| author_sort | Kin Wei Ng |
| collection | DOAJ |
| description | We study the effects of control domain position on optimal control problem of cardiac arrhythmia. The well-established mathematical model, namely, the monodomain model, is used to represent the electrical behavior of the cardiac tissue. Two test cases are considered in this paper: the control domain for Test Case 1 is close to the excitation domain, while the control domain for Test Case 2 is a little bit far away from the excitation domain. The modified Dai-Yuan nonlinear conjugate gradient method is employed for computing the optimal applied extracellular current. Our experiment results show that the excitation wavefronts are successfully dampened out for both test cases. Also, experiment results show that the position of the control domain for Test Case 1 is preferable than that of Test Case 2 during the defibrillation process. |
| format | Article |
| id | doaj-art-a2c965d60c684d67804dfb83c8cbad0b |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-a2c965d60c684d67804dfb83c8cbad0b2025-08-20T02:20:45ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/468189468189The Effects of Control Domain Position on Optimal Control of Cardiac ArrhythmiaKin Wei Ng0Ahmad Rohanin1Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Johor Bahru, MalaysiaDepartment of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Johor Bahru, MalaysiaWe study the effects of control domain position on optimal control problem of cardiac arrhythmia. The well-established mathematical model, namely, the monodomain model, is used to represent the electrical behavior of the cardiac tissue. Two test cases are considered in this paper: the control domain for Test Case 1 is close to the excitation domain, while the control domain for Test Case 2 is a little bit far away from the excitation domain. The modified Dai-Yuan nonlinear conjugate gradient method is employed for computing the optimal applied extracellular current. Our experiment results show that the excitation wavefronts are successfully dampened out for both test cases. Also, experiment results show that the position of the control domain for Test Case 1 is preferable than that of Test Case 2 during the defibrillation process.http://dx.doi.org/10.1155/2012/468189 |
| spellingShingle | Kin Wei Ng Ahmad Rohanin The Effects of Control Domain Position on Optimal Control of Cardiac Arrhythmia Journal of Applied Mathematics |
| title | The Effects of Control Domain Position on Optimal Control of Cardiac Arrhythmia |
| title_full | The Effects of Control Domain Position on Optimal Control of Cardiac Arrhythmia |
| title_fullStr | The Effects of Control Domain Position on Optimal Control of Cardiac Arrhythmia |
| title_full_unstemmed | The Effects of Control Domain Position on Optimal Control of Cardiac Arrhythmia |
| title_short | The Effects of Control Domain Position on Optimal Control of Cardiac Arrhythmia |
| title_sort | effects of control domain position on optimal control of cardiac arrhythmia |
| url | http://dx.doi.org/10.1155/2012/468189 |
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