A generalized reaction diffusion model for spatial structure formed by motile cells.

F L Ochoa

doi:10.1016/0303-2647(84)90014-5

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A generalized reaction diffusion model for spatial structure formed by motile cells.

F L Ochoa

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Abstract

A non-linear stability analysis using a multi-scale perturbation procedure is carried out on a model of a generalized reaction diffusion mechanism which involves only a single equation but which nevertheless exhibits bifurcation to non-uniform states. The patterns generated by this model by variation in a parameter related to the scalar dimensions of domain of definition, indicate its capacity to represent certain key morphogenetic features of multicellular systems formed by motile cells.

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Animals Cell Differentiation Cell Movement Diffusion Humans Kinetics Models, Biological Journal Article Research Support, Non-U.S. Gov't

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F L Ochoa. 1984. A generalized reaction diffusion model for spatial structure formed by motile cells.. https://doi.org/10.1016/0303-2647(84)90014-5

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