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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