Multispecies reaction diffusion models and the Turing instability revisited

Details Multispecies reaction diffusion models and the Turing instability revisited Multispecies reaction diffusion models and the Turing instability revisited

2011-12-05

arxiv.org/abs/1112.0870v1

Physics

Biological Physics

Submitte to J. R. Soc. Interface

Scientific paper

The Turing instability paradigm is revisited in the context of a multispecies diffusion scheme derived from a self-consistent microscopic formulation. The analysis is developed with reference to the case of two species. These latter share the same spatial reservoir and experience a degree of mutual interference due to the competition for the available resources. Turing instability can set in for all ratios of the main diffusivities, also when the activator diffuses faster then the inhibitor. This conclusion, at odd with the conventional vision, is here exemplified for the Brusselator model and ultimately stems from having assumed a generalized model of multispecies diffusion, fully anchored to first principles, which also holds under crowded conditions.

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