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.
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.
|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|
|Deposited By:||Philip Maini|
|Deposited On:||24 Nov 2006|
|Last Modified:||20 Jul 2009 14:21|
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