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Optimal and Model Predictive Control of Cardiac Alternans Open Access


Other title
Cardiac Alternans
Optimal Control
Model Predictive Control
Type of item
Degree grantor
University of Alberta
Author or creator
Yapari, Felicia M
Supervisor and department
Dubljevic, Stevan (Chemical and Materials Engineering)
Examining committee member and department
Liu, Jinfeng (Chemical and Materials Engineering)
Belhamadia, Youssef (Biomedical Engineering)
Dubljevic, Stevan (Chemical and Materials Engineering)
Department of Chemical and Materials Engineering
Process Control
Date accepted
Graduation date
Master of Science
Degree level
The presence of alternans, which is a persistent alternation in the cardiac action potential duration, has been linked to the onset of ventricular arrhythmia, which may lead to sudden cardiac death. In this thesis, we examine the problem of alternans annihilation in a 1D cable of cardiac cells using optimal and model predictive control strategies, through boundary and spatially distributed actuations. In the first part of the thesis, the system of parabolic partial differential equations (PDEs) describing the small amplitude of alternans and the alternation of peak intracellular Ca2+ concentration are stabilized by optimal full state feedback control. A model predictive controller (MPC) was then formulated for the small amplitude of alternans PDE. Finally, to address the issue of controller robustness with respect to model uncertainties, a robust MPC was implemented on the small amplitude of alternans PDE. Simulation studies for all three control methods demonstrate that the proposed strategies can successfully annihilate alternans in cables that are significantly longer than 1 cm, thus overcoming the limitations of earlier control efforts.
Permission is hereby granted to the University of Alberta Libraries to reproduce single copies of this thesis and to lend or sell such copies for private, scholarly or scientific research purposes only. Where the thesis is converted to, or otherwise made available in digital form, the University of Alberta will advise potential users of the thesis of these terms. The author reserves all other publication and other rights in association with the copyright in the thesis and, except as herein before provided, neither the thesis nor any substantial portion thereof may be printed or otherwise reproduced in any material form whatsoever without the author's prior written permission.
Citation for previous publication
F. Yapari, D. Deshpande, Y. Belhamadia, and S. Dubljevic, β€œControl of cardiac alternans by mechanical and electrical feedback,” Phys. Rev. E, vol. 90, p. 012706, 2014. Copyright (2014) by the American Physical Society.

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