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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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Publication status:
Published

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Publisher copy:
10.1007/bf00160179

Authors


Cruywagen, GC More by this author
More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Murray, JD More by this author
Journal:
Journal of mathematical biology
Volume:
33
Issue:
2
Pages:
193-210
Publication date:
1994
DOI:
EISSN:
1432-1416
ISSN:
0303-6812
URN:
uuid:dc95d00f-73c8-4391-9db6-da09a26e2155
Source identifiers:
12403
Local pid:
pubs:12403

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