Third generation cellular automaton for modeling excitable media
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Publication:1186939
DOI10.1016/0167-2789(92)90063-SzbMath0744.92003OpenAlexW2081363240MaRDI QIDQ1186939
Jörg R. Weimar, John J. Tyson, Layne T. Watson
Publication date: 28 June 1992
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-2789(92)90063-s
diffusionwave propagationOregonator modelnew cellular automaton model of excitable mediaslow dynamics of the recovery variable
Applications to the sciences (65Z05) General biology and biomathematics (92B05) Computational methods for problems pertaining to biology (92-08)
Related Items (8)
Some properties of topological pressure on cellular automata ⋮ The topological pressure of linear cellular automata ⋮ Periodic travelling waves in a family of deterministic cellular automata ⋮ Convergence analysis of hybrid cellular automata for topology optimization ⋮ Fast Simulations of Waves in Three-Dimensional Excitable Media ⋮ Convolution-thresholding methods for interface motion ⋮ Convolution-generated motion as a link between cellular automata and continuum pattern dynamics ⋮ Traveling waves and chaotic properties in cellular automata
Cites Work
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- Stable three-dimensional action potential circulation in the FitzHugh- Nagumo model
- Singular perturbation theory of traveling waves in excitable media (A review)
- 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
- A Cellular Automaton Model of Excitable Media Including Curvature and Dispersion
- Pattern formation and periodic structures in systems modeled by reaction-diffusion equations
- Spatial Patterns for Discrete Models of Diffusion in Excitable Media
- A SURVEY OF SPIRAL-WAVE BEHAVIORS IN THE OREGONATOR MODEL
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