Diffusion and wave propagation in cellular automaton models of excitable media

DOI10.1016/0167-2789(92)90062-RzbMath0744.92002OpenAlexW2075027181MaRDI QIDQ1186938

Jörg R. Weimar, Layne T. Watson, John J. Tyson

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)90062-r

zbMATH Keywords

finite difference methodschemical reaction systemsnerve axonscellular automaton models of excitable mediacellular communicationdiscrete approximations to diffusion equationsmodels of excitable mediaspeed-curvature relationundamped traveling waves of excitationwaves of excitationwaves of membrane depolarization

Mathematics Subject Classification ID

Applications to the sciences (65Z05) General biology and biomathematics (92B05) Computational methods for problems pertaining to biology (92-08)

Related Items (12)

Propagation of fronts in cellular automata ⋮ THE CELLULAR AUTOMATA PARADIGM FOR THE PARALLEL SOLUTION OF HEAT TRANSFER PROBLEMS ⋮ Periodic travelling waves in a family of deterministic cellular automata ⋮ Convergence analysis of hybrid cellular automata for topology optimization ⋮ Wavelengths distribution of chaotic travelling waves in some cellular automata. ⋮ Fast Simulations of Waves in Three-Dimensional Excitable Media ⋮ Convolution-thresholding methods for interface motion ⋮ A CA-based epidemic model for HIV/AIDS transmission with heterogeneity ⋮ Collective behaviour of random-activated mobile cellular automata ⋮ Sandpile toppling on Penrose tilings: identity and isotropic dynamics ⋮ 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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• A Geometrical Theory for Spiral Waves in Excitable Media
• A SURVEY OF SPIRAL-WAVE BEHAVIORS IN THE OREGONATOR MODEL

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