# American Institute of Mathematical Sciences

2007, 2007(Special): 436-445. doi: 10.3934/proc.2007.2007.436

## Turing patterns on growing spheres: the exponential case

 1 Centre for Mathematical Sciences, Wilberforce Rd, Cambridge CB3 0WA, United Kingdom 2 Harvey Mudd College, Mathematics Department, 301 Platt Blvd, Claremont, CA 91711, United States

Received  September 2006 Revised  April 2007 Published  September 2007

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.
Citation: Julijana Gjorgjieva, Jon Jacobsen. Turing patterns on growing spheres: the exponential case. Conference Publications, 2007, 2007 (Special) : 436-445. doi: 10.3934/proc.2007.2007.436
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