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  • 1
    Electronic Resource
    Electronic Resource
    A non-linear analysis for spatial structure in a reaction-diffusion model (1983)
    Springer
    Bulletin of mathematical biology 45 (1983), S. 917-930 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract A non-linear stability analysis using a multi-scale perturbation procedure is carried out on the practical Thomas reaction-diffusion mechanism which exhibits bifurcation to non-uniform states. The analytical results compare favourably with the numerical solutions. The sequential patterns generated by this model by variations in a parameter related to the reaction-diffusion domain indicate its capacity to represent certain key morphogenetic features required in a recent model by Kauffman for pattern formation in theDrosophila embryo.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02458822
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