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Fractal patterns and complexity during diffusive growth of bacterial colonies. (English) Zbl 0880.92006

We present a communicating walkers model to study the effect of local bacterium-bacterium interaction. We will demonstrate how communication enables the colony to develop complex patterns in adaptation to adverse growth conditions. This model represents a generic modeling approach which is similar in spirit to the model proposed by D. Kessler and H. Levine [Pattern formation in dictyostelium via cooperative ‘bion’ dynamics. Preprint (1993)] to describe aggregation of Dictyostelium and D. Kessler’s approach [Contemp. Phys. 26, 147 ff (1985)] in the study of ‘microbial convection pattern’.

MSC:

92C15 Developmental biology, pattern formation
00A69 General applied mathematics
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