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2000

An Envelope Method for Analyzing Sequential Pattern Formation

13 years 3 months ago
An Envelope Method for Analyzing Sequential Pattern Formation
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. Key words. pattern formation, envelope method, sequential pattern formation, wave speed, tissue interaction AMS subject classifications. 92, 35 PII. S003613999732857X
Gerhard C. Cruywagen, James D. Murray, Philip K. M
Added 19 Dec 2010
Updated 19 Dec 2010
Type Journal
Year 2000
Where SIAMAM
Authors Gerhard C. Cruywagen, James D. Murray, Philip K. Maini
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