Spiral defect drift in the wave fields of multiple excitation patterns

Dutta, Subashisa; Steinbock, Oliver

doi:10.1103/physreve.83.056213

Cited by 12 publications

(8 citation statements)

References 32 publications

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“…The complex dynamic behavior of three-dimensional structures in excitable systems represents a current topic research in many related fields [59][60][61][62][63], where pinning, drifting, and detaching effects are being explored. This aspect thus plays a key role in further increasing the defibrillation efficiency mentioned, starting with simplified theoretical analysis [49,[64][65][66][67][68].…”

Section: Discussionmentioning

confidence: 99%

Electroelastic unpinning of rotating vortices in biological excitable media

2012

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Spiral waves in excitable biological media are associated with pathological situations. In the heart an action potential vortex pinned by an obstacle has to be removed through defibrillation protocols fine-tuned theoretically by using electrophysiological nonlinear mathematical models. Cardiac tissue, however, is an electroelastic medium whose electrical properties are strongly affected by large deformations. In this paper we specifically investigate the electroelastic pinning-unpinning mechanism in order to include cardiac contraction in the preexisting theoretically modeled defibrillation scenarios. Based on a two-dimensional minimal electromechanical model, we show numerically the existence of an unpinning band characterized by the size of the obstacle, the pacing site, and the frequency. Similar numerical simulations, performed in the absence of elastic coupling, show small differences in comparison with the electroelastic studies, suggesting for this specific scenario of pinning-unpinning dynamics a nonprominent role of elasticity.

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Section: Discussionmentioning

confidence: 99%

Electroelastic unpinning of rotating vortices in biological excitable media

2012

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“…One possible factor could be the periodic modulation of the free scroll wave by the nearby pinned vortex. In two-dimensional systems such interaction can arise between two spiral waves either if the rotation periods are different or if one spiral arm is very short and exposes its tip to the wave field of the other vortex [38]. The three-dimensional analogs of this spiral defect drift have not been studied yet but are likely to be complex.…”

Section: Discussionmentioning

confidence: 99%

Scroll wave filaments self-wrap around unexcitable heterogeneities

Jiménez

Steinbock

2012

Phys. Rev. E

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Scroll waves are three-dimensional excitation vortices rotating around one-dimensional phase singularities called filaments. In experiments with a chemical reaction-diffusion system and in numerical simulations, we study the pinning of closed filament loops to inert cylindrical heterogeneities. We show that the filament wraps itself around the heterogeneity and thus avoids contraction and annihilation. This entwining steadily increases the total length of the pinned filament and reshapes the entire rotation backbone of the vortex. Self-pinning is fastest for thin cylinders with radii not much larger than the core of the unpinned rotor. The process ends when the filament is attached to the entire length of the cylinder. The possible importance of self-pinning in cardiac systems is discussed.

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“…Light [8,9] and electric field [10] has been used to move the tips of the spirals in a two-dimensional reaction-diffusion system, sometimes leading to annihilation of the waves. High-frequency wave trains have been successfully used to force spirals into defect-drifts [11]. Using multiple wave-fields, several rotors could even be localized to a particular position.…”

Section: Introductionmentioning

confidence: 99%

Interaction of multiple spiral rotors in a reaction-diffusion system

Kalita,

Dutta

2021

Preprint

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Rotors of reaction and diffusion, that revolve around a circular singularity, and the corresponding spiral wave activity around it, influence the nature of several excitable media. Their dynamics are known to be affected by target waves and external gradients. When the core of two spirals come very close to each other, they could either repel or attract, depending on their relative chirality and the distance separating them. Multiple pairs of spiral waves, in close vicinity, could alter the paths of the individual rotors. A single spiral core, will be influenced most by the rotor closest to it, or linked to it by a common wave. If within a limiting distance, they would attract each other, and annihilate. Else, they will push each other away, until they reach a critical distance, beyond which, all interactions seem to cease. We have carried out numerical simulations based on a reaction-diffusion model to show the possible interactions of multiple spiral rotors. We are able to find a quantitative measurement of the distances determining the kind of interaction. Some unique dynamics is also unraveled. Experiments with the Belousov-Zhabotinsky reaction have successfully demonstrated the validity of our numerical results.

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Spiral defect drift in the wave fields of multiple excitation patterns

Cited by 12 publications

References 32 publications

Electroelastic unpinning of rotating vortices in biological excitable media

Electroelastic unpinning of rotating vortices in biological excitable media

Scroll wave filaments self-wrap around unexcitable heterogeneities

Interaction of multiple spiral rotors in a reaction-diffusion system

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