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Mathematics (HMC)

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We consider Turing patterns for reaction-diffusion systems on the surface of a growing sphere. In particular, we are interested in the effect of dynamic growth on the pattern formation. We consider exponential isotropic growth of the sphere and perform a linear stability analysis and compare the results with numerical simulations.


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Note: There is an error in the diffusion-driven calculation in this paper as kindly pointed out by Madzvamuse et al. See "Stability analysis of non-autonomous reaction-diffusion systems: the effects of growing domains, J. Math Biol. (2010)" for an alternate approach to determining the diffusion-driven instability condition.

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© 2007 American Institute of Mathematical Sciences

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