The INI has a new website!

This is a legacy webpage. Please visit the new site to ensure you are seeing up to date information.

Skip to content



Interactions between pattern formation and domain growth

Matthews, P (Nottingham)
Tuesday 01 November 2005, 14:00-15:00

Seminar Room 1, Newton Institute


We develop a general framework for investigating pattern formation in reaction-diffusion systems for which the tissue on which the spatial pattern resides is growing at a rate which is regulated by the diffusible chemicals that establish the pattern. There is a complex interplay between the effects of the chemicals on the domain size and the influence of the domain size on the formation of patterns. The nature of this interaction is revealed by a weakly nonlinear analysis, which yields a pair of nonlinear equations for the amplitude of the spatial pattern and the domain size. The domain is found to grow (or shrink) at a rate that depends quadratically on the pattern amplitude.


[pdf ]


MP3MP3 Real AudioReal Audio

Back to top ∧