The Mathematical Institute, University of Oxford, Eprints Archive

Pattern formation in a generalised chemotactic model

Myerscough, M. R. and Maini, P. K. and Painter, K. J. (1998) Pattern formation in a generalised chemotactic model. Bulletin of Mathematical Biology, 60 (1). pp. 1-26.

[img]
Preview
PDF
421Kb

Abstract

Many models have been proposed for spatial pattern formation in embryology and analyzed for the standard case of zero-flux boundary conditions. However, relatively little attention has been paid to the role of boundary conditions on the form of the final pattern. Here we investigate, numerically, the effect of nonstandard boundary conditions on a model pattern generator, which we choose to be of a cell-chemotactic type. We specifically focus on the role of boundary conditions and the effects of scale and aspect ratio, and study the spatiotemporal dynamics of pattern formation. We illustrate the properties of the model by application to the spatiotemporal sequence of skeletal development.

Item Type:Article
Uncontrolled Keywords:n/a
Subjects:A - C > Biology and other natural sciences
Research Groups:Centre for Mathematical Biology
ID Code:437
Deposited By:Philip Maini
Deposited On:27 Nov 2006
Last Modified:20 Jul 2009 14:21

Repository Staff Only: item control page