Reaction-Diffusion patterns modelled by Continuous-State Cellular Automata

Author(s): Quattrocchi, J. L. (2020)

Abstract:
This paper contributes to the understanding of reaction-diffusion phenomena, these aesthetically pleasing patterns found in nature and chemistry. No background knowledge is required to investigate a simple model, cellular automata, simulating complex behaviour, reaction-diffusion. Several existing approaches on how to connect cellular automata models and reaction-diffusion systems are discussed. Leading to the introduction of continuous-cell-states eight-cell neighbourhood two-dimensional cellular automata as a model of quasi chemical systems with cell-states resembling continuous flow between a substrate and a reagent. Reaction and diffusion transition rules have been altered to continuous formulas. Simulated cellular automata have been assigned to 12 morphology based classes which have been identified or introduced.

Document(s):

Quattrocchi_BA_EEMCS.pdf