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Nonlinear pattern selection in a mechanical model for morphogenesis

Abstract:

We present a numerical study of the nonlinear mechanical model for morphogenesis proposed by Oster et al. (1983) with the aim of establishing the pattern forming capability of the model. We present a technique for mode selection based on linear analysis and show that, in many cases, it is a reliable predictor for nonlinear mode selection. In order to determine the set of model parameters that can generate a particular pattern we develop a technique based on nonlinear least square fitting to a...

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A. S. Perelson More by this author
P. K. Maini More by this author
J. D. Murray More by this author
J. M. Hyman More by this author
G. F. Oster More by this author
Publication date:
1986
URN:
uuid:942ff047-c048-4f6c-8bc4-8aa4a9293f2a
Local pid:
oai:eprints.maths.ox.ac.uk:531

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