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For many years Turing systems have been proposed to account for spatial and spatiotemporal pattern formation in chemistry and biology. We extend the study of Turing systems to investigate the rô1e of boundary conditions, domain shape, non-linearities, and coupling of such systems. We show that such modifications lead to a wide variety of patterns that bear a striking resemblance to pigmentation patterns in fish, particularly those involving stripes, spots and transitions between them. Using the Turing system as a metaphor for activator-inhibitor models we conclude that such a mechanism, with the aforementioned modifications, may play a rô1e in fish patterning.

Type

Journal article

Journal

Bull Math Biol

Publication Date

05/1999

Volume

61

Pages

483 - 505

Keywords

Animals, Body Patterning, Developmental Biology, Fishes, Models, Biological, Nonlinear Dynamics, Numerical Analysis, Computer-Assisted