The Mathematical Institute, University of Oxford, Eprints Archive

Spatial and spatio-temporal patterns in a cell-haptotaxis model

Maini, P. K. (1989) Spatial and spatio-temporal patterns in a cell-haptotaxis model. Journal of Mathematical Biology, 27 (5). pp. 507-522.

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Abstract

We investigate a cell-haptotaxis model for the generation of spatial and spatio-temporal patterns in one dimension. We analyse the steady state problem for specific boundary conditions and show the existence of spatially hetero-geneous steady states. A linear analysis shows that stability is lost through a Hopf bifurcation. We carry out a nonlinear multi-time scale perturbation procedure to study the evolution of the resulting spatio-temporal patterns. We also analyse the model in a parameter domain wherein it exhibits a singular dispersion relation.

Item Type:Article
Uncontrolled Keywords:Morphogenesis - Spatio-temporal pattern - Mechanochemical - Haptotaxis - Singular dispersion relation
Subjects:A - C > Biology and other natural sciences
Research Groups:Centre for Mathematical Biology
ID Code:524
Deposited By:Philip Maini
Deposited On:15 Dec 2006
Last Modified:20 Jul 2009 14:22

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