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

By P. K. Maini

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

Topics: Biology and other natural sciences
Year: 1989
DOI identifier: 10.1007/BF00288431
OAI identifier: oai:generic.eprints.org:524/core69

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