The Mathematical Institute, University of Oxford, Eprints Archive

An envelope method for analysing sequential pattern formation

Cruywagen, G. C. and Maini, P. K. and Murray, J. D. (2000) An envelope method for analysing sequential pattern formation. SIAM Journal of Applied Mathematics, 61 (1). pp. 213-231.

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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.

Item Type:Article
Uncontrolled Keywords:pattern formation; envelope method; sequential pattern formation; wave speed; tissue interaction
Subjects:A - C > Biology and other natural sciences
Research Groups:Centre for Mathematical Biology
ID Code:426
Deposited By:Philip Maini
Deposited On:24 Nov 2006
Last Modified:20 Jul 2009 14:21

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