𝔖 Bobbio Scriptorium
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Nonlinear pattern selection in a mechanical model for morphogenesis

✍ Scribed by A. S. Perelson; P. K. Maini; J. D. Murray; J. M. Hyman; G. F. Oster

Publisher
Springer
Year
1986
Tongue
English
Weight
824 KB
Volume
24
Category
Article
ISSN
0303-6812

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✦ Synopsis

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 dispersion relation. As an application we present a scenario for sequential pattern formation of dermal aggregations in chick embryos which leads to the hexagonal array of cell aggregations observed in feather germ formation in vivo.

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