Drift of scroll waves in thin layers caused by thickness features: asymptotic theory and numerical simulations
Biktasheva, I. V.
Biktashev, V. N.
Physical Review Letters
American Physical Society
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.
Engineering and Physical Sciences Research Council (EPSRC)
Copyright © 2015 American Physical Society
Vol. 114 (6), article 068302
Place of publication