Mechanical perturbation control of cardiac alternans

Azzam Hazim, Youssef Belhamadia, and Stevan Dubljevic
Phys. Rev. E 97, 052407 – Published 21 May 2018

Abstract

Cardiac alternans is a disturbance in heart rhythm that is linked to the onset of lethal cardiac arrhythmias. Mechanical perturbation control has been recently used to suppress alternans in cardiac tissue of relevant size. In this control strategy, cardiac tissue mechanics are perturbed via active tension generated by the heart's electrical activity, which alters the tissue's electric wave profile through mechanoelectric coupling. We analyze the effects of mechanical perturbation on the dynamics of a map model that couples the membrane voltage and active tension systems at the cellular level. Therefore, a two-dimensional iterative map of the heart beat-to-beat dynamics is introduced, and a stability analysis of the system of coupled maps is performed in the presence of a mechanical perturbation algorithm. To this end, a bidirectional coupling between the membrane voltage and active tension systems in a single cardiac cell is provided, and a discrete form of the proposed control algorithm, that can be incorporated in the coupled maps, is derived. In addition, a realistic electromechanical model of cardiac tissue is employed to explore the feasibility of suppressing alternans at cellular and tissue levels. Electrical activity is represented in two detailed ionic models, the Luo-Rudy 1 and the Fox models, while two active contractile tension models, namely a smooth variant of the Nash-Panfilov model and the Niederer-Hunter-Smith model, are used to represent mechanical activity in the heart. The Mooney-Rivlin passive elasticity model is employed to describe passive mechanical behavior of the myocardium.

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  • Received 20 January 2017

DOI:https://doi.org/10.1103/PhysRevE.97.052407

©2018 American Physical Society

Physics Subject Headings (PhySH)

Nonlinear Dynamics

Authors & Affiliations

Azzam Hazim1, Youssef Belhamadia2, and Stevan Dubljevic3,*

  • 1Department of Biomedical Engineering, University of Alberta, Edmonton, Alberta, Canada T6G 2V2
  • 2Department of Mathematics and Statistics, American University of Sharjah, Sharjah, United Arab Emirates
  • 3Department of Chemical and Materials Engineering, University of Alberta, Edmonton, Alberta, Canada T6G 2V4

  • *Corresponding author: stevan.dubljevic@ualberta.ca

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Vol. 97, Iss. 5 — May 2018

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