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Journal of Applied Mathematics
Volume 2012 (2012), Article ID 468189, 14 pages
http://dx.doi.org/10.1155/2012/468189
Research Article

The Effects of Control Domain Position on Optimal Control of Cardiac Arrhythmia

Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Johor Bahru, Malaysia

Received 2 October 2012; Accepted 4 November 2012

Academic Editor: Jinyun Yuan

Copyright © 2012 Kin Wei Ng and Ahmad Rohanin. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.