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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.

Type

Journal article

Journal

Bull Math Biol

Publication Date

1991

Volume

53

Pages

701 - 719

Keywords

Animals, Cell Movement, Chemotaxis, Embryonic and Fetal Development, Models, Biological, Skin Pigmentation