Abstract
For many years Turing systems have beenproposed to account for spatial and spatiotemporal pattern formationin chemistry and biology. We extend the study of Turing systems toinvestigate the rôle of boundary conditions, domain shape,non-linearities, and coupling of such systems. We show thatsuch modifications lead to a wide variety of patterns that bear a strikingresemblance to pigmentation patterns in fish, particularly those involvingstripes, spots and transitions between them. Using the Turing system as ametaphor for activator–inhibitor models we conclude that such amechanism, with the aforementioned modifications, may play a rôlein fish patterning.
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