Maini, P. K. (1990) Superposition of modes in a caricature of a model for morphogenesis. Journal of Mathematical Biology, 28 (3). pp. 307-315.
In a model proposed for cell pattern formation by Nagorcka et al. (J. Theor. Biol. 1987) linear analysis revealed the possibility of an initially spatially uniform cell density going unstable to perturbations of two distinct spatial modes. Here we examine a simple one-dimensional caricature of their model which exhibits similar linear behaviour and present a nonlinear analysis which shows the possibility of superposition of modes subject to appropriate parameter values and initial conditions.
|Uncontrolled Keywords:||Mechanochemical - Superposition of modes - Cell patterning|
|Subjects:||A - C > Biology and other natural sciences|
|Research Groups:||Centre for Mathematical Biology|
|Deposited By:||Philip Maini|
|Deposited On:||15 Dec 2006|
|Last Modified:||20 Jul 2009 14:22|
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