The Mathematical Institute, University of Oxford, Eprints Archive

Spatial and spatiotemporal pattern formation in generalised Turing systems

Maini, P. K. (1996) Spatial and spatiotemporal pattern formation in generalised Turing systems. Mathematical and Computational Modelling, 32 (11). pp. 71-77.

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Abstract

Reaction-diffusion, or Turing, models have been proposed to account for a number of pattern formation phenomena in early development. However, there are a number of crucial morphogenetic phenomena that contradict the standard Turing model. Here we review three generalisations of the Turing model and show how they can be applied to two such phenomena. We discuss how these generalisations can provide insight to the processes underlying patterning in these cases.

Item Type:Article
Uncontrolled Keywords:Boundary conditions; Robustness; Limb development; Spatially varying parameters; Tooth morphogenesis
Subjects:A - C > Biology and other natural sciences
Research Groups:Centre for Mathematical Biology
ID Code:471
Deposited By:Philip Maini
Deposited On:10 Dec 2006
Last Modified:20 Jul 2009 14:21

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