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Apr 30, 2024 · In this final section, I provide more examples of cellular automata models, with a particular emphasis on biological systems. Nearly all biological phenomena involve some kind of spatial extension, such as excitation patterns on neural or muscular tissue, cellular arrangements in an individual organism’s body, and population distribution at ecological levels.
- 11: Cellular Automata I - Modeling - Mathematics LibreTexts
11.5: Examples of Biological Cellular Automata Models In...
- 11: Cellular Automata I - Modeling - Mathematics LibreTexts
Several biological processes occur—or can be simulated—by cellular automata. Some examples of biological phenomena modeled by cellular automata with a simple state space are: Patterns of some seashells, like the ones in the genera Conus and Cymbiola, are generated by natural cellular automata.
Cellular automaton models are then discussed in detail for different types of cellular processes and interactions, including random movement, cell migration, adhesive cell interaction, alignment and cellular swarming, growth processes, pigment cell pattern formation, tissue development, tumor growth and invasion, and Turing-type patterns and excitable media.
Apr 30, 2024 · 11.5: Examples of Biological Cellular Automata Models In this final section, I provide more examples of cellular automata models, with a particular emphasis on biological systems. Nearly all biological phenomena involve some kind of spatial extension, such as excitation patterns on neural or muscular tissue, cellular arrangements in an individual organism’s body, and population distribution ...
Jun 14, 2010 · Von Neumann, John, 1903-1957. Cellular automata (CA) are mathematical models used to simulate complex systems or processes. In several fields, including biology, physics, and chemistry, CA are employed to analyze phenomena such as the growth of plants, DNA evolution, and embryogenesis. In the 1940s John von Neumann formalized the idea of ...
Mar 26, 2012 · Cellular automata (henceforth: CA) are discrete, abstract computational systems that have proved useful both as general models of complexity and as more specific representations of non-linear dynamics in a variety of scientific fields. Firstly, CA are (typically) spatially and temporally discrete: they are composed of a finite or denumerable ...
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Jan 1, 2013 · A cellular automaton (plural cellular automata) is a discrete model originally theoretical, but now implemented in disciplines from physics to biology, geography to ecology, and computer science to regional science. CA have been defined as “discrete spatio-temporal dynamic systems based on local rules” (Miller 2009).
