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Filament tension and phase locking of meandering scroll waves

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Abstract
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 reactiondiffusion 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.

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MLA
Dierckx, Hans et al. “Filament Tension and Phase Locking of Meandering Scroll Waves.” PHYSICAL REVIEW LETTERS 119.25 (2017): n. pag. Print.
APA
Dierckx, H., Biktasheva, I., Verschelde, H., Panfilov, A., & Biktashev, V. (2017). Filament tension and phase locking of meandering scroll waves. PHYSICAL REVIEW LETTERS, 119(25).
Chicago author-date
Dierckx, Hans, IV Biktasheva, Henri Verschelde, Alexander Panfilov, and VN Biktashev. 2017. “Filament Tension and Phase Locking of Meandering Scroll Waves.” Physical Review Letters 119 (25).
Chicago author-date (all authors)
Dierckx, Hans, IV Biktasheva, Henri Verschelde, Alexander Panfilov, and VN Biktashev. 2017. “Filament Tension and Phase Locking of Meandering Scroll Waves.” Physical Review Letters 119 (25).
Vancouver
1.
Dierckx H, Biktasheva I, Verschelde H, Panfilov A, Biktashev V. Filament tension and phase locking of meandering scroll waves. PHYSICAL REVIEW LETTERS. 2017;119(25).
IEEE
[1]
H. Dierckx, I. Biktasheva, H. Verschelde, A. Panfilov, and V. Biktashev, “Filament tension and phase locking of meandering scroll waves,” PHYSICAL REVIEW LETTERS, vol. 119, no. 25, 2017.
@article{8556746,
  abstract     = {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 reactiondiffusion 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.},
  articleno    = {258101},
  author       = {Dierckx, Hans and Biktasheva, IV and Verschelde, Henri and Panfilov, Alexander and Biktashev, VN},
  issn         = {0031-9007},
  journal      = {PHYSICAL REVIEW LETTERS},
  language     = {eng},
  number       = {25},
  pages        = {6},
  title        = {Filament tension and phase locking of meandering scroll waves},
  url          = {http://dx.doi.org/10.1103/PhysRevLett.119.258101},
  volume       = {119},
  year         = {2017},
}

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