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

P K Maini
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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.

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AnimalsCell Physiological PhenomenaCellsEmbryonic and Fetal DevelopmentMathematicsModels, TheoreticalMorphogenesisTime FactorsJournal Article

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P K Maini. 1989. Spatial and spatio-temporal patterns in a cell-haptotaxis model.. https://doi.org/10.1007/bf00288431

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