The Mathematical Institute, University of Oxford, Eprints Archive

Hierarchical models for spatial pattern formation in biology

Maini, P. K. (1995) Hierarchical models for spatial pattern formation in biology. Journal of Biological Systems, 3 (4). pp. 987-997.

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Abstract

We review some recent work investigating a hierarchy of patterning processes in which a reaction-diffusion model forms the top level. In one such hierarchy, it is assumed that the boundary is differentiated, and it is shown that this can greatly enhance the robustness of the patterns subsequently formed by the reaction-diffusion model. In the second, a spatial heterogeneity in background environment is first set-up by a simple gradient model. The resulting patterns produced by the reaction-diffusion system may be isolated to specific parts of the domain. The application of such hierarchical models to skeletal patterning in the tetrapod limb is considered.

Item Type:Article
Uncontrolled Keywords:Pre-patterns; boundary conditions; limb development; robustness; reaction-diffusion
Subjects:A - C > Biology and other natural sciences
Research Groups:Centre for Mathematical Biology
ID Code:485
Deposited By:Philip Maini
Deposited On:10 Dec 2006
Last Modified:20 Jul 2009 14:21

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