Alternative stable scroll waves and conversion of autowave turbulence

Foulkes, AJ and Barkley, D and Biktashev, VN and Biktasheva, IV (2010) Alternative stable scroll waves and conversion of autowave turbulence. Chaos An Interdisciplinary Journal of Nonlinear Science, 20. 043136. ISSN 1054-1500

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Abstract

Rotating spiral and scroll waves (vortices) are investigated in the FitzHugh–Nagumo model of excitable media. The focus is on a parameter region in which there exists bistability between alternative stable vortices with distinct periods. Response functions are used to predict the filament tension of the alternative scrolls and it is shown that the slow-period scroll has negative filament tension, while the filament tension of the fast-period scroll changes sign within a hysteresis loop. The predictions are confirmed by direct simulations. Further investigations show that the slow-period scrolls display features similar to delayed after-depolarization and tend to develop into turbulence similar to ventricular fibrillation (VF). Scrolls with positive filament tension collapse or stabilize, similar to monomorphic ventricular tachycardia (VT). Perturbations, such as boundary interaction or shock stimulus, can convert the vortex with negative filament tension into the vortex with positive filament tension. This may correspond to transition from VF to VT unrelated to pinning.

Item Type:	Article
Keywords:	4901 Applied Mathematics
Faculty / Department:	Faculty of Human and Digital Sciences > School of Computer Science and the Environment
SWORD Depositor:	eprints api
Depositing User:	eprints api
Date Deposited:	14 Jan 2025 15:09
Last Modified:	14 Jan 2025 15:09
URI:	https://hira.hope.ac.uk/id/eprint/4529

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