University of Twente Student Theses


Reaction-Diffusion patterns modelled by Continuous-State Cellular Automata

Quattrocchi, J. L. (2020) Reaction-Diffusion patterns modelled by Continuous-State Cellular Automata.

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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.
Item Type:Essay (Bachelor)
Faculty:EEMCS: Electrical Engineering, Mathematics and Computer Science
Subject:20 art studies, 30 exact sciences in general, 31 mathematics, 54 computer science
Programme:Applied Mathematics BSc (56965)
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