Filament Tension and Phase Locking of Meandering Scroll Waves
Physical Review Letters
American Physical Society
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Meandering spiral waves are often observed in excitable media such as the Belousov-Zhabotinsky reaction and cardiac tissue. We derive a theory for drift dynamics of meandering rotors in general reaction-diffusion systems and apply it to two types of external disturbances: an external field and curvature-induced drift in three dimensions. We find two distinct regimes: with small filament curvature, meandering scroll waves exhibit filament tension, whose sign determines the stability and drift direction. In the regimes of strong external fields or meandering motion close to resonance, however, phase locking of the meander pattern is predicted and observed.
H. D. was funded by FWO-Flanders during part of this work. The computational resources (Stevin Supercomputer Infrastructure) and services used in this work were provided by the VSC (Flemish Supercomputer Center), funded by Ghent University, FWO and the Flemish Government–department EWI. I. V. B. and V. N. B. gratefully acknowledge EPSRC (UK) support via Grant No. EP/D074789/1. I. V. B. acknowledges EPSRC (UK) support via Grant No. EP/P008690/1. V. N. B. acknowledges EPSRC (UK) current support via Grant No. EP/N014391/1 (UK).
This is the author accepted manuscript. The final version is available from American Physical Society via the DOI in this record
The version of this paper which was originally published at arXiv.org is in ORE: http://hdl.handle.net/10871/25921
Vol. 119, article 258101