An Envelope Method for Analyzing Sequential Pattern Formation

نویسندگان

  • Gerhard C. Cruywagen
  • James D. Murray
  • Philip K. Maini
چکیده

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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عنوان ژورنال:
  • SIAM Journal of Applied Mathematics

دوره 61  شماره 

صفحات  -

تاریخ انتشار 2000