Document Type
Article
Department
Mathematics (HMC)
Publication Date
2007
Abstract
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.
Rights Information
© 2007 American Institute of Mathematical Sciences
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Recommended Citation
J. Gjorgjieva and J. Jacobsen. "Turing Patterns on Growing Spheres: The Exponential Case." Discrete Contin. Dyn. Syst., (2007), Series A, suppl., p. 436-445.
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Comments
This article is also available from the American Institute of Mathematical Sciences at http://aimsciences.org/journals/pdfs.jsp?paperID=2850&mode=full.
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.