Scroll waves in spherical shell geometries

DOI10.1063/1.1406537zbMath1080.92500OpenAlexW2085645030WikidataQ73463137 ScholiaQ73463137MaRDI QIDQ5706262

Raymond Kapral, Guillaume Rousseau, Francisco Chávez, Leon Glass

Publication date: 7 November 2005

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/c3fbed574b11e1b2abc58f43c118e872099002ee

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15) General biology and biomathematics (92B05) Second-order parabolic systems (35K40)

Related Items (4)

Variety of spatio-temporal regimes in a 2D lattice of coupled bistable FitzHugh-Nagumo oscillators. Formation mechanisms of spiral and double-well chimeras ⋮ Spiral waves on the sphere for an alloy electrodeposition model ⋮ Periodic forcing of scroll rings and control of Winfree turbulence in excitable media ⋮ Spiral wave dynamics in excitable media with spherical geometries

Cites Work

• Stable three-dimensional action potential circulation in the FitzHugh- Nagumo model
• The dynamics of three-dimensional scroll waves in excitable media
• The geometry and motion of reaction-diffusion waves on closed two- dimensional manifolds
• Spiral wave behaviors in an excitable reaction-diffusion system on a sphere
• Asynchronous algorithm for integration of reaction–diffusion equations for inhomogeneous excitable media
• Self-organization and the dynamical nature of ventricular fibrillation
• Filament instability and rotational tissue anisotropy: A numerical study using detailed cardiac models
• The Motion of Untwisted Untorted Scroll Waves in Belousov-Zhabotinsky Reagent
• Stable Particle-Like Solutions to the Nonlinear Wave Equations of Three-Dimensional Excitable Media
• Varieties of spiral wave behavior: An experimentalist’s approach to the theory of excitable media

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