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A mechanical model for biological pattern formation: A nonlinear bifurcation analysis

Abstract:

We present a mechanical model for cell aggregation in embryonic development. The model is based on the large traction forces exerted by fibroblast cells which deform the extracellular matrix (ECM) on which they move. It is shown that the subsequent changes in the cell environment can combine to produce pattern. A linear analysis is carried out for this model. This reveals a wide spectrum of different types of dispersion relations. A non-linear bifurcation analysis is presented for a simple ve...

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Publication date:
1985-01-01
URN:
uuid:b28a092f-296e-44e3-bb0d-6f0ad3b4df40
Local pid:
oai:eprints.maths.ox.ac.uk:536

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