On the Relation between the Local Interaction of Cells and Their Global Transformation.
RENSSELAER POLYTECHNIC INST TROY N Y DEPT OF MATHEMATICS
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When cellular interaction is mediated by chemicals, a pattern can arise due to the breakdown of a homogeneous state. A relatively simple explanation is given of how diffusion can give rise to the resulting dissipative structures. Theoretical examples are provided of patterns which can arise in predator prey interactions between two classes of cells. Work by the author and his colleagues on the initiation of slime mold aggregation is reviewed. The paper concludes with an outline of theory concerned with the generation and propagation of travelling waves in populations of chemotactic motile bacteria. Author