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Anisotropy in cellular automata

B Schönfisch1

  • 1Lehrstuhl für Biomathematik, Tübingen, Germany.

Bio Systems
|January 1, 1997
PubMed
Summary

Standard cellular automata exhibit grid anisotropy. Modifications like random grids, stochastic functions, and asynchronous evaluations reduce this bias. Random grids proved most effective for modeling contact processes.

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Area of Science:

  • Computational modeling
  • Complex systems simulation

Background:

  • Standard cellular automata (CA) generate patterns reflecting grid anisotropy, not physical model properties.
  • This anisotropy limits their use in accurate qualitative modeling.

Purpose of the Study:

  • To investigate modifications of cellular automata to mitigate grid anisotropy.
  • To assess the effectiveness of these modifications in simulating contact processes.

Main Methods:

  • Investigated random grids, stochastic local functions, and asynchronous evaluations for cellular automata.
  • Applied these modified automata to simulate contact processes using simple totalistic rules.

Main Results:

  • Anisotropy in standard CA patterns originates from grid and neighborhood structures.
  • Modified CA approaches, particularly random grids, successfully reduce unwanted geometric artifacts.
  • Random grids demonstrated the highest utility among the tested modifications.

Conclusions:

  • Cellular automata modifications are crucial for accurate physical system modeling.
  • Random grids offer a promising solution to overcome anisotropy in CA simulations.
  • Further research can leverage these findings for improved complex systems modeling.

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