A cellular automaton model of excitable media. IV: Untwisted scroll rings

DOI10.1016/0167-2789(91)90175-9zbMath0800.92030OpenAlexW2093789966MaRDI QIDQ1178841

John J. Tyson, Heike Schuster, Martin Gerhardt

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1016/0167-2789(91)90175-9

Mathematics Subject Classification ID

Developmental biology, pattern formation (92C15) Cellular automata (computational aspects) (68Q80) General biology and biomathematics (92B05)

Related Items (4)

A cellular automaton model of excitable media. II: Curvature, dispersion, rotating waves and meandering waves ⋮ Varieties of spiral wave behavior: An experimentalist’s approach to the theory of excitable media ⋮ Fast Simulations of Waves in Three-Dimensional Excitable Media ⋮ Phenomenology of excitation in 2-D cellular automata and swarm systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Knotted scroll wave filaments in excitable media
• Stable three-dimensional action potential circulation in the FitzHugh- Nagumo model
• Organizing centers in a cellular excitable medium
• A computational study of twisted linked scroll waves in excitable media
• The dynamics of three-dimensional scroll waves in excitable media
• A plausible mechanism for the motion of untwisted scroll rings in excitable media
• Dynamical stability of untwisted scroll rings in excitable media
• An integral invariant for scroll rings in a reaction-diffusion system
• A cellular automaton model of excitable media. II: Curvature, dispersion, rotating waves and meandering waves
• A cellular automaton model of excitable media. III: Fitting the Belousov- Zhabotinskii reaction
• Helical and circular scroll wave filaments
• Helical organizing centers in excitable media
• The Motion of Untwisted Untorted Scroll Waves in Belousov-Zhabotinsky Reagent
• A Cellular Automaton Model of Excitable Media Including Curvature and Dispersion
• Stable Particle-Like Solutions to the Nonlinear Wave Equations of Three-Dimensional Excitable Media
• Spatial Patterns for Discrete Models of Diffusion in Excitable Media

This page was built for publication: A cellular automaton model of excitable media. IV: Untwisted scroll rings