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An envelope method for analysing sequential pattern formation

Abstract:
We examine sequential spatial pattern formation in a tissue interaction model for skin organ morphogenesis. Pattern formation occurs as a front sweeps across the domain leaving in its wake a steady state spatial pattern. Extensive numerical simulations show that these fronts travel with constant wave speed. By considering the envelope of the solution profile we present a novel method of calculating its wave speed.

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G. C. Cruywagen More by this author
P. K. Maini More by this author
J. D. Murray More by this author
Publication date:
2000
URN:
uuid:86186d12-8c17-4381-bc63-c42e9774f606
Local pid:
oai:eprints.maths.ox.ac.uk:426

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