Destabilization of Three-Dimensional Rotating Chemical Waves in an Inhomogeneous BZ Reaction

Mironov, Sergey; Vinson, Michael; Mulvey, Scott; Pertsov, Arkady M.

doi:10.1021/jp952556s

Cited by 47 publications

(27 citation statements)

References 19 publications

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“…The possibility of breakup due to rotational anisotropy of myocardium was shown in Pan lov & Keener (1995) and Fenton & Karma (1998). Another type of three-dimensional instability produced by smooth heterogeneity (gradient) has been described in Pan lov et al (1984), Pertsov et al (1990b), Pan lov & Keener (1993 and Mironov et al (1996). It has been hypothesized that such instability may develop at the border between normal and ischaemic tissue and may be responsible for VF during acute ischaemia .…”

Section: Discussionmentioning

confidence: 99%

Ventricular fibrillation: evolution of the multiple–wavelet hypothesis

Panfilow

Pertsov

2001

Philosophical Transactions of the Royal Society of London. Seri

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Every heartbeat is preceded by an electrical wave of excitation that rapidly propagates through the cardiac muscle, triggering mechanical contractions of cardiac myocytes. Abnormal propagation of this wave causes severe cardiac arrhythmias. The most dangerous of these is ventricular brillation, the leading cause of sudden death in the industrialized world. It is well established that ventricular brillation is a result of turbulent propagation of the electrical excitation wave. However, despite more than a century of investigation, the precise mechanism of its initiation and maintenance remains largely unknown. Novel experimental tools for the visualization of the excitation wave as well as advanced three-dimensional computer models of the heart, which have become available in recent years, have intensi ed attempts to solve the puzzle of ventricular brillation. These e¬orts have revealed signi cantly di¬erent manifestations of ventricular brillation, suggesting that multiple mechanisms are responsible for this arrhythmia. Several new hypotheses have been put forward recently that deviate considerably from Moe's standard hypothesis of brillation, which has dominated the eld for almost four decades. One of the hypotheses that has been most actively discussed is the spiral-breakup (also called the restitution) hypothesis. This hypothesis may lead to a breakthrough in our understanding of the factors that cause this deadly arrhythmia and provide a constructive approach to the development of e¯cient anti brillatory drugs.

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Section: Discussionmentioning

confidence: 99%

Ventricular fibrillation: evolution of the multiple–wavelet hypothesis

Panfilow

Pertsov

2001

Philosophical Transactions of the Royal Society of London. Seri

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“…They have also studied the destabilization of linear scroll filaments in temperature induced excitability gradients. 17 We study in this paper the formation and evolution of scroll waves in the photosensitive ruthenium-catalyzed BZ reaction. 18-22 The photosensitive BZ system allows the generation of precisely oriented scroll rings, permitting the study of their evolution in light-induced excitability gradients of varying intensity and direction.…”

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confidence: 99%

Formation and evolution of scroll waves in photosensitive excitable media

Amemiya

Kettunen

Kádár

et al. 1998

Chaos: An Interdisciplinary Journal of Nonlinear Science

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Experimental and computational studies of the formation and evolution of scroll waves in three-dimensional excitable media are presented. Scroll waves are initiated in the photosensitive Belousov-Zhabotinsky reaction by perturbing traveling waves transverse to their direction of propagation. Scroll rings are generated by perturbing circular waves, which expand or contract depending on the strength of an imposed excitability gradient and its direction relative to the rotational direction of the scroll wave. (c) 1998 American Institute of Physics.

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“…Mironov and colleagues showed that a twist-induced instability can also be obtained using a nonuniform medium, namely a reaction subjected to a temperature gradient [16]. The originally straight filaments became destabilized and adopted a helical shape.…”

Section: Introductionmentioning

confidence: 99%

“…For a given orientation of the gradient the drift direction depends on the sense of rotation of the scroll wave. Experimental realizations of twisted scroll waves were studied using gradients of temperature [16], illumination intensity [17], concentration of oxygen [6], surfactant [18], and electric current [19,20].…”

Section: Introductionmentioning

confidence: 99%

Helical deformation of the filament of a scroll wave

Kupitz

Hauser

2012

Phys. Rev. E

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In three-dimensional excitable systems scroll waves may lose their originally straight shape through different instabilities. In experiments, the formation of zigzag-shaped or helical filaments is often observed. Such a deformation may be due to either a twist-induced instability or a 3D meandering instability. We performed a systematic study using a Belousov-Zhabotinsky (BZ) system with a vertical gradient of excitability and determined the necessary twist for the onset of undulation in the filament. Thus, we demonstrate that in the case of a BZ system with a gradient parallel to the filament, the deformation of the filament is induced by a twist-induced instability.

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Destabilization of Three-Dimensional Rotating Chemical Waves in an Inhomogeneous BZ Reaction

Cited by 47 publications

References 19 publications

Ventricular fibrillation: evolution of the multiple–wavelet hypothesis

Ventricular fibrillation: evolution of the multiple–wavelet hypothesis

Formation and evolution of scroll waves in photosensitive excitable media

Helical deformation of the filament of a scroll wave

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