Maini, P. K. (1995) Hierarchical models for spatial pattern formation in biology. Journal of Biological Systems, 3 (4). pp. 987-997.
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.
|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|
|Deposited By:||Philip Maini|
|Deposited On:||10 Dec 2006|
|Last Modified:||29 May 2015 18:23|
Repository Staff Only: item control page