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Travelling waves in a tissue interaction model for skin pattern formation

Abstract:

Tissue interaction plays a major role in many morphogenetic processes, particularly those associated with skin organ primordia. We examine travelling wave solutions in a tissue interaction model for skin pattern formation which is firmly based on the known biology. From a phase space analysis we conjecture the existence of travelling waves with specific wave speeds. Subsequently, analytical approximations to the wave profiles are derived using perturbation methods. We then show numerically th...

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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:
1994
URN:
uuid:2d9b0923-3ce7-405d-a865-1b3f1f42a7af
Local pid:
oai:eprints.maths.ox.ac.uk:490

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