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

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...

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P. K. Maini More by this author
Publication date:
1989
URN:
uuid:86f826c9-4b06-4a9c-993b-2f631798c712
Local pid:
oai:eprints.maths.ox.ac.uk:524

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