Drift of scroll waves in thin layers caused by thickness features: asymptotic theory and numerical simulations
- Author
- IV Biktasheva, Hans Dierckx (UGent) and VN Biktashev
- 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
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-6805444
- 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}}, }
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