Abstract
A model of the cooperative behavior of a large number of locally acting organisms is proposed. The space in which the organisms move is discretized, and is modeled by a lattice of nodes, or cells. Each cell has a specified volume, and is connected to other cells in the space in a definite way. Organisms move probabilistically between local cells in this space, but with weights dependent on local morphogenic substances, or morphogens. The morphogens are in turn are effected by the passage of an organism. The evolution of the morphogens, and the corresponding flow of the organisms constitutes the collective behavior of the group. The generic properties of such systems are analyzed, and a number of results are obtained. The model has various types of phase transitions and self-organizing properties controlled both by the level of the noise, and other parameters.
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Millonas, M.M. (1993). Cooperative Phenomena in Swarms. In: Boccara, N., Goles, E., Martinez, S., Picco, P. (eds) Cellular Automata and Cooperative Systems. NATO ASI Series, vol 396. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1691-6_40
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DOI: https://doi.org/10.1007/978-94-011-1691-6_40
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