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Spatio-temporal patterns in a mechanical model for mesenchymal morphogenesis

Abstract:

We present an in-depth study of spatio-temporal patterns in a simplified version of a mechanical model for pattern formation in mesenchymal morphogenesis. We briefly motivate the derivation of the model and show how to choose realistic boundary conditions to make the system well-posed. We firstly consider one-dimensional patterns and carry out a nonlinear perturbation analysis for the case where the uniform steady state is linearly unstable to a single mode. In two-dimensions, we show that if...

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Publication date:
1995-01-01
URN:
uuid:00d17675-a188-48c5-badf-8bef415a265c
Local pid:
oai:eprints.maths.ox.ac.uk:487

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