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

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  • Kin Wei Ng
  • Ahmad Rohanin

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.

Suggested Citation

  • Kin Wei Ng & Ahmad Rohanin, 2012. "The Effects of Control Domain Position on Optimal Control of Cardiac Arrhythmia," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:468189
    DOI: 10.1155/2012/468189
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    References listed on IDEAS

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    1. Chamakuri Nagaiah & Karl Kunisch & Gernot Plank, 2011. "Numerical solution for optimal control of the reaction-diffusion equations in cardiac electrophysiology," Computational Optimization and Applications, Springer, vol. 49(1), pages 149-178, May.
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