A Two-dimensional Numerical Study of Spatial Pattern Formation in Interacting Turing Systems

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 modif...

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Bibliographic Details
Published in:Bulletin of mathematical biology 1999-05, Vol.61 (3), p.483-505
Main Authors: Barrio, R.A., Varea, C., Aragón, J.L., Maini, P.K.
Format: Article
Language:English
Subjects:
Animals
Body Patterning
Developmental Biology
Fishes
Models, Biological
Nonlinear Dynamics
Numerical Analysis, Computer-Assisted
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Summary: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.
ISSN:0092-8240
1522-9602
DOI:10.1006/bulm.1998.0093