Advanced search
1 file | 543.77 KB Add to list

Drift of scroll waves in thin layers caused by thickness features: asymptotic theory and numerical simulations

Author
Organization
Abstract
A scroll wave in a very thin layer of excitable medium is similar to a spiral wave, but its behavior is affected by the layer geometry. We identify the effect of sharp variations of the layer thickness, which is separate from filament tension and curvature-induced drifts described earlier. We outline a two-step asymptotic theory describing this effect, including asymptotics in the layer thickness and calculation of the drift of so-perturbed spiral waves using response functions. As specific examples, we consider drift of scrolls along thickness steps, ridges, ditches, and disk-shaped thickness variations. Asymptotic predictions agree with numerical simulations.
Keywords
SPIRAL WAVES, ATRIAL-FIBRILLATION, PROPAGATION, MECHANISM, PATTERNS, MUSCLE, MODEL

Downloads

  • Biktasheva2015 PRL.pdf
    • full text
    • |
    • open access
    • |
    • PDF
    • |
    • 543.77 KB

Citation

Please use this url to cite or link to this publication:

MLA
Biktasheva, IV, et al. “Drift of Scroll Waves in Thin Layers Caused by Thickness Features: Asymptotic Theory and Numerical Simulations.” PHYSICAL REVIEW LETTERS, vol. 114, no. 6, 2015, doi:10.1103/PhysRevLett.114.068302.
APA
Biktasheva, I., Dierckx, H., & Biktashev, V. (2015). Drift of scroll waves in thin layers caused by thickness features: asymptotic theory and numerical simulations. PHYSICAL REVIEW LETTERS, 114(6). https://doi.org/10.1103/PhysRevLett.114.068302
Chicago author-date
Biktasheva, IV, Hans Dierckx, and VN Biktashev. 2015. “Drift of Scroll Waves in Thin Layers Caused by Thickness Features: Asymptotic Theory and Numerical Simulations.” PHYSICAL REVIEW LETTERS 114 (6). https://doi.org/10.1103/PhysRevLett.114.068302.
Chicago author-date (all authors)
Biktasheva, IV, Hans Dierckx, and VN Biktashev. 2015. “Drift of Scroll Waves in Thin Layers Caused by Thickness Features: Asymptotic Theory and Numerical Simulations.” PHYSICAL REVIEW LETTERS 114 (6). doi:10.1103/PhysRevLett.114.068302.
Vancouver
1.
Biktasheva I, Dierckx H, Biktashev V. Drift of scroll waves in thin layers caused by thickness features: asymptotic theory and numerical simulations. PHYSICAL REVIEW LETTERS. 2015;114(6).
IEEE
[1]
I. Biktasheva, H. Dierckx, and V. Biktashev, “Drift of scroll waves in thin layers caused by thickness features: asymptotic theory and numerical simulations,” PHYSICAL REVIEW LETTERS, vol. 114, no. 6, 2015.
@article{6805444,
  abstract     = {{A scroll wave in a very thin layer of excitable medium is similar to a spiral wave, but its behavior is affected by the layer geometry. We identify the effect of sharp variations of the layer thickness, which is separate from filament tension and curvature-induced drifts described earlier. We outline a two-step asymptotic theory describing this effect, including asymptotics in the layer thickness and calculation of the drift of so-perturbed spiral waves using response functions. As specific examples, we consider drift of scrolls along thickness steps, ridges, ditches, and disk-shaped thickness variations. Asymptotic predictions agree with numerical simulations.}},
  articleno    = {{068302}},
  author       = {{Biktasheva, IV and Dierckx, Hans and Biktashev, VN}},
  issn         = {{0031-9007}},
  journal      = {{PHYSICAL REVIEW LETTERS}},
  keywords     = {{SPIRAL WAVES,ATRIAL-FIBRILLATION,PROPAGATION,MECHANISM,PATTERNS,MUSCLE,MODEL}},
  language     = {{eng}},
  number       = {{6}},
  pages        = {{5}},
  title        = {{Drift of scroll waves in thin layers caused by thickness features: asymptotic theory and numerical simulations}},
  url          = {{http://doi.org/10.1103/PhysRevLett.114.068302}},
  volume       = {{114}},
  year         = {{2015}},
}

Altmetric
View in Altmetric
Web of Science
Times cited: