Scroll Wave Instabilities in an Excitable Chemical Medium

Luengviriya, Chaiya; Storb, Ulrich; Lindner, G.; Müller, Stefan; Bär, Markus; Hauser, M.

doi:10.1103/physrevlett.100.148302

Cited by 45 publications

(35 citation statements)

References 36 publications

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“…Three-dimensional visualization is, however, possible in chemical excitable systems using tomographic techniques. It has permitted the visualization of negative filament tension in the Belousov-Zhabotinsky (BZ) reaction for scroll waves (Luengviriya et al 2008) and rings (Bánsági and Steinbock 2007) as already predicted by numerical simulations of the Oregonator model of the BZ reaction (Alonso et al 2006a).…”

Section: Discussionmentioning

confidence: 99%

Negative Tension of Scroll Wave Filaments and Turbulence in Three-Dimensional Excitable Media and Application in Cardiac Dynamics

2012

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Scroll waves are vortices that occur in three-dimensional excitable media. Scroll waves have been observed in a variety of systems including cardiac tissue, where they are associated with cardiac arrhythmias. The disorganization of scroll waves into chaotic behavior is thought to be the mechanism of ventricular fibrillation, whose lethality is widely known. One possible mechanism for this process of scroll wave instability is negative filament tension. It was discovered in 1987 in a simple two variables model of an excitable medium. Since that time, negative filament tension of scroll waves and the resulting complex, often turbulent dynamics was studied in many generic models of excitable media as well as in physiologically realistic models of cardiac tissue. In this article, we review the work in this area from the first simulations in FitzHugh-Nagumo type models to recent studies involving detailed ionic models of cardiac tissue. We discuss the relation of negative filament tension and tissue excitability and the effects of discreteness in the tissue on the filament tension. Finally, we consider the application of the negative tension mechanism to computational cardiology, where it may be regarded as a fundamental mechanism that explains differences in the onset of arrhythmias in thin and thick tissue.

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Section: Discussionmentioning

confidence: 99%

Negative Tension of Scroll Wave Filaments and Turbulence in Three-Dimensional Excitable Media and Application in Cardiac Dynamics

2012

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“…Exactly at the boundary with non-excitability the spiral rotation period increases to infinity, note that this limit corresponds to the large core limit employed later for different analysis. Scroll waves with negative filament tension have been recently found in threedimensional chemical BZ reaction [329,330]. However, they have not been observed in experiments in cardiac tissue, so the relevance of this instability for the induction of fibrillation is disputed.…”

Section: Negative Line Tensionmentioning

confidence: 99%

Nonlinear physics of electrical wave propagation in the heart: a review

2016

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Abstract. The beating of the heart is a synchronized contraction of muscle cells (myocytes) that are triggered by a periodic sequence of electrical waves (action potentials) originating in the sino-atrial node and propagating over the atria and the ventricles. Cardiac arrhythmias like atrial and ventricular fibrillation (AF,VF) or ventricular tachycardia (VT) are caused by disruptions and instabilities of these electrical excitations, that lead to the emergence of rotating waves (VT) and turbulent wave patterns (AF,VF). Numerous simulation and experimental studies during the last 20 years have addressed these topics. In this review we focus on the nonlinear dynamics of wave propagation in the heart with an emphasis on the theory of pulses, spirals and scroll waves and their instabilities in excitable media and their application to cardiac modeling. After an introduction into electrophysiological models for action potential propagation, the modeling and analysis of spatiotemporal alternans, spiral and scroll meandering, spiral breakup and scroll wave instabilities like negative line tension and sproing are reviewed in depth and discussed with emphasis on their impact in cardiac arrhythmias.

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“…Row (a) shows that in the negative tension case, at sufficiently large L z the scroll buckles so much it breaks up and a scroll turbulence develops, in agreement with previous results. Row (b) shows that in case of 3D meander, the amplitude remains bounded, and even when L z is large enough to hold several wavelengths of the curved filament, the restabilized "wrinkled scroll" can persist for a long time (compare these with "zigzag shaped filaments" described in [26]). Moreover, these two bifurcations occur in different parametric regions via different mechanisms.…”

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confidence: 97%

Buckling of Scroll Waves

et al. 2012

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A scroll wave in a sufficiently thin layer of an excitable medium with negative filament tension can be stable nevertheless due to filament rigidity. Above a certain critical thickness of the medium, such scroll wave will have a tendency to deform into a buckled, precessing state. Experimentally this will be seen as meandering of the spiral wave on the surface, the amplitude of which grows with the thickness of the layer, until a break-up to scroll wave turbulence happens. We present a simplified theory for this phenomenon and illustrate it with numerical examples.

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Scroll Wave Instabilities in an Excitable Chemical Medium

Cited by 45 publications

References 36 publications

Negative Tension of Scroll Wave Filaments and Turbulence in Three-Dimensional Excitable Media and Application in Cardiac Dynamics

Negative Tension of Scroll Wave Filaments and Turbulence in Three-Dimensional Excitable Media and Application in Cardiac Dynamics

Nonlinear physics of electrical wave propagation in the heart: a review

Buckling of Scroll Waves

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