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Bifurcating spatially heterogeneous solutions in a chemotaxis model for biological pattern formation

By P. K. Maini, M. R. Myerscough, J. D. Murray and K. H. Winters

Abstract

We consider a simple cell-chemotaxis model for spatial pattern formation on two-dimensional domains proposed by Oster and Murray (1989,J. exp. Zool. 251, 186–202). We determine finite-amplitude, steady-state, spatially heterogeneous solutions and study the effect of domain growth on the resulting patterns. We also investigate in-depth bifurcating solutions as the chemotactic parameter varies. This numerical study shows that this deceptively simple-chemotaxis model can produce a surprisingly rich spectrum of complex spatial patterns

Topics: Biology and other natural sciences
Year: 1991
DOI identifier: 10.1007/BF02461550
OAI identifier: oai:generic.eprints.org:520/core69

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