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Physical Sciences and Mathematics Commons

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Mathematics

Illinois State University

Theses and Dissertations

Theses/Dissertations

Agent-Based Modeling

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Lattice-Gas Cellular Automata In Modeling Biological Pattern Formation, Gizem Yuce Apr 2018

Lattice-Gas Cellular Automata In Modeling Biological Pattern Formation, Gizem Yuce

Theses and Dissertations

There are several phenomena present in the physical world which can be defined or predicted by specific models. Cellular automata are basic mathematical models for characterization of natural systems by generating simple components and their local interactions. These models are specified on simple updating rules yet demonstrate complex behavior of physical phenomena. Besides this, lattice-gas cellular automata models go one step further and differ from cellular automata by having split updating rule into two parts as collision and propagation. In this study, the goal is to analyze hexagonal lattice-gas cellular automata with single cell type by using agent-based modeling and …