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Reseach Article

Numerical Solution for PDE-Constrained Optimization Problem in Cardiac Electrophysiology

by Kin Wei Ng, Ahmad Rohanin
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 44 - Number 12
Year of Publication: 2012
Authors: Kin Wei Ng, Ahmad Rohanin
10.5120/6314-8655

Kin Wei Ng, Ahmad Rohanin . Numerical Solution for PDE-Constrained Optimization Problem in Cardiac Electrophysiology. International Journal of Computer Applications. 44, 12 ( April 2012), 11-15. DOI=10.5120/6314-8655

@article{ 10.5120/6314-8655,
author = { Kin Wei Ng, Ahmad Rohanin },
title = { Numerical Solution for PDE-Constrained Optimization Problem in Cardiac Electrophysiology },
journal = { International Journal of Computer Applications },
issue_date = { April 2012 },
volume = { 44 },
number = { 12 },
month = { April },
year = { 2012 },
issn = { 0975-8887 },
pages = { 11-15 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume44/number12/6314-8655/ },
doi = { 10.5120/6314-8655 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:35:20.662768+05:30
%A Kin Wei Ng
%A Ahmad Rohanin
%T Numerical Solution for PDE-Constrained Optimization Problem in Cardiac Electrophysiology
%J International Journal of Computer Applications
%@ 0975-8887
%V 44
%N 12
%P 11-15
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

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

References
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Index Terms

Computer Science
Information Sciences

Keywords

Monodomain Model Operator Splitting Optimal Control