Abstract

A new discrete modeling approach for analyzing swarming behaviour in biological systems is proposed, The model is formulated as a "lattice-gas cellular automaton" based on a piecewise straight random walk with constant speed of organisms (or cells), which solely interact with other members of the swarm. Putative applications are the swarming of myxobacteria and ants, slug pattern formation of Dictyostelium, as well as the formation of pigment cell patterns in salamander larvae. The temporal dynamics of the automaton are determined by rotation and propagation operators, together with a "biological operator" which describes local interactions of organisms within a well-defined perception area.

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