An integral invariant for scroll rings in a reaction-diffusion system

DOI10.1016/0167-2789(89)90257-1zbMath0669.92002OpenAlexW1989522656MaRDI QIDQ1119197

S. H. Smith

Publication date: 1989

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(89)90257-1

zbMATH Keywords

reaction-diffusion systemsintegral invariantBelousov- Zhabotinskii (BZ) chemical reactionevolution of scroll ringsthree- dimensional vortices

Mathematics Subject Classification ID

General biology and biomathematics (92B05) Other natural sciences (mathematical treatment) (92F05)

Related Items (9)

Anchoring of vortex filaments in 3D excitable media ⋮ Drift of scroll waves of electrical excitation in an isotropic model of the cardiac left ventricle ⋮ A cellular automaton model of excitable media. II: Curvature, dispersion, rotating waves and meandering waves ⋮ A cellular automaton model of excitable media. IV: Untwisted scroll rings ⋮ The dynamics of helical scroll waves in excitable media ⋮ Ventricular fibrillation and atrial fibrillation are two different beasts ⋮ Induced drift of scroll waves in the Aliev-Panfilov model and in an axisymmetric heart left ventricle ⋮ Three-dimensional reconstruction of organizing centers in excitable chemical media ⋮ Negative filament tension in the Luo-Rudy model of cardiac tissue

Cites Work

• Knotted scroll wave filaments in excitable media
• A computational study of twisted linked scroll waves in excitable media
• A plausible mechanism for the motion of untwisted scroll rings in excitable media
• The Motion of Untwisted Untorted Scroll Waves in Belousov-Zhabotinsky Reagent
• Unnamed Item

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