Mechanisms of defibrillation by standing waves in the bidomain ventricular tissue with voltage applied in an external bath

Aslanidi, Oleg; Benson, Alan P.; Boyett, Mark R.; Zhang, Henggui

doi:10.1016/j.physd.2009.02.003

Cited by 6 publications

(5 citation statements)

References 42 publications

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“…Nevertheless, these studies focused on entrainment with the lowfrequency AC field and did not demonstrate block of pacing-initiated or preexisting electrical propagation. Another way in which AC fields can terminate reentrant arrhythmias is by imposing standing waves of depolarization (26)(27)(28), a mechanism that is distinctly different from inducing sustained refractoriness, as we have shown here. The mechanism of refractoriness produced by HFAC fields also differs from that of electrotonic inhibition (29), in which a brief subthreshold pulse applied to a muscle fiber renders the fiber refractory to the next activation stimulus.…”

Section: Discussionmentioning

confidence: 65%

Reversible Cardiac Conduction Block and Defibrillation with High-Frequency Electric Field

et al. 2011

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Electrical impulse propagation is an essential function in cardiac, skeletal muscle, and nervous tissue. Abnormalities in cardiac impulse propagation underlie lethal reentrant arrhythmias, including ventricular fibrillation. Temporary propagation block throughout the ventricular myocardium could possibly terminate these arrhythmias. Electrical stimulation has been applied to nervous tissue to cause reversible conduction block, but has not been explored sufficiently in cardiac tissue. We show that reversible propagation block can be achieved in cardiac tissue by holding myocardial cells in a refractory state for a designated period of time by applying a sustained sinusoidal high-frequency alternating current (HFAC); in doing so, reentrant arrhythmias are terminated. We demonstrate proof of concept using several models, including optically mapped monolayers of neonatal rat ventricular cardiomyocytes, Langendorff-perfused guinea pig and rabbit hearts, intact anesthetized adult rabbits, and computer simulations of whole-heart impulse propagation. HFAC may be an effective and potentially safer alternative to direct current application, currently used to treat ventricular fibrillation.

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Section: Discussionmentioning

confidence: 65%

Reversible Cardiac Conduction Block and Defibrillation with High-Frequency Electric Field

et al. 2011

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“…From the mathematical and numerical viewpoint, the extension to the 3D case is straightforward, however at the modeling stage (even when a forward problem related to (1.1) has been solved in [3]), the importance of considering a bidomain model in an external bath as part of the homogenized superimposed medium, is not yet well established in the literature. This is why our following related study will address an inverse problem considering the external bath as a different domain at the macroscale.…”

Section: Discussionmentioning

confidence: 99%

“…[20,30]). Here we investigate a variant of that model, namely the tridomain model (see [3,12] for more details concerning this model). Comparing to the bidomain model, the tridomain model additionally takes into account the interface effects of a volume conductor such as a perfusing bath, blood or an external matrix.…”

Section: Scopementioning

confidence: 99%

“…Herein, a l (x) is the unit tangent vector at the point x. Consequently, σ l j and σ t j represent the conductivities of the tissue along and across the fiber direction at point x. The governing equations (bidomain model in a bath, or tridomain model) are given by the following coupled reactiondiffusion system (see [3,12]):…”

Section: The Two-dimensional Tridomain Modelmentioning

confidence: 99%

See 1 more Smart Citation

Analysis of an optimal control problem for the tridomain model in cardiac electrophysiology

Aïnseba

Bendahmane

Ruiz–Baier

2012

Journal of Mathematical Analysis and Applications

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“…As experimental studies of cardiac arrhythmias at the tissue and organ levels have been largely limited to voltage recordings on or near the surface of a preparation [11,12], computational models offer an additional research tool that can enhance results from experimental studies [13] or can give insights into the functioning of the heart that cannot be gained through experimental work, either due to technical limitations or ethical issues [14]. The results of such simulations can be dissected in time and space, and investigated over a broad range of parameter values, allowing a detailed study at the cell, tissue and organ levels of the mechanisms underlying the onset of arrhythmias [15], and interventions aimed at either preventing this onset [16,17] or restoring normal sinus rhythm [18,19].…”

Section: Introductionmentioning

confidence: 99%

A computational study of the effects of remodelled electrophysiology and mechanics on initiation of ventricular fibrillation in human heart failure

Kirk¹,

Benson²,

Goodyer³

et al. 2014

Preprint

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The study of pathological cardiac conditions such as arrhythmias, a major cause of mortality in heart failure, is becoming increasingly informed by computational simulation, numerically modelling the governing equations. This can provide insight where experimental work is constrained by technical limitations and/or ethical issues. It is now commonly used to provide comprehensive studies of the mechanisms underlying the onset of arrhythmias at cell, tissue and organ levels, based on increasingly detailed descriptions of the electrophysiology, derived from experiment.As the models become more realistic, the construction of efficient and accurate computational models becomes increasingly challenging. In particular, recent developments have started to couple the electrophysiology models with mechanical models in order to investigate the effect of tissue deformation on arrhythmogenesis, thus introducing an element of nonlinearity into the mathematical representation. This paper outlines a biophysically-detailed computational model of coupled electromechanical cardiac activity which uses the finite element method to approximate both electrical and mechanical systems on unstructured, deforming, meshes. An ILU preconditioner is applied to improve performance of the solver.This software is used to examine the role of electrophysiology, fibrosis and mechanical deformation on the stability of spiral wave dynamics in human ventricular tissue by applying it to models of both healthy and failing tissue. The latter was simulated by modifying (i) cellular electrophysiological properties, to generate an increased action potential duration and altered intracellular calcium handling, and (ii) tissuelevel properties, to simulate the gap junction remodelling, fibrosis and increased tissue stiffness seen in heart failure. The resulting numerical experiments suggest that, for the chosen mathematical models of electrophysiology and mechanical response, introducing tissue level fibrosis can have a destabilising effect on the dynamics, while the net effect of the electrophysiological remodelling stabilises the system.

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Mechanisms of defibrillation by standing waves in the bidomain ventricular tissue with voltage applied in an external bath

Cited by 6 publications

References 42 publications

Reversible Cardiac Conduction Block and Defibrillation with High-Frequency Electric Field

Reversible Cardiac Conduction Block and Defibrillation with High-Frequency Electric Field

Analysis of an optimal control problem for the tridomain model in cardiac electrophysiology

A computational study of the effects of remodelled electrophysiology and mechanics on initiation of ventricular fibrillation in human heart failure

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