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Alternative stable scroll waves and conversion of autowave turbulence
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Foulkes, A. J., Barkley, Dwight, Biktashev, V. N. and Biktasheva, I. V. (2010) Alternative stable scroll waves and conversion of autowave turbulence. Chaos : An Interdisciplinary Journal of Nonlinear Science, Vol.20 (No.4). Article no. 043136. doi:10.1063/1.3517079 ISSN 1054-1500.
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Official URL: http://dx.doi.org/10.1063/1.3517079
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. (C) 2010 American Institute of Physics. [doi:10.1063/1.3517079]
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Chaos : An Interdisciplinary Journal of Nonlinear Science | ||||
| Publisher: | American Institute of Physics | ||||
| ISSN: | 1054-1500 | ||||
| Official Date: | 2010 | ||||
| Dates: |
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| Volume: | Vol.20 | ||||
| Number: | No.4 | ||||
| Page Range: | Article no. 043136 | ||||
| DOI: | 10.1063/1.3517079 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access | ||||
| Funder: | Engineering and Physical Sciences Research Council (EPSRC), Leverhulme Trust , Royal Society | ||||
| Grant number: | EP/D074789/1 EP/D074746/1 (EPSRC) |
Data sourced from Thomson Reuters' Web of Knowledge
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