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Aberrant behaviours of reaction diffusion self-organisation models on growing domains in the presence of gene expression time delays

Abstract:

Turing’s pattern formation mechanism exhibits sensitivity to the details of the initial conditions suggesting that, in isolation, it cannot robustly generate pattern within noisy biological environments. Nonetheless, secondary aspects of developmental self-organisation, such as a growing domain, have been shown to ameliorate this aberrant model behaviour. Furthermore, while in-situ hybridisation reveals the presence of gene expression in developmental processes, the influence of such dynamics...

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Publisher:
Springer
Publication date:
2010-01-01
UUID:
uuid:ac51a023-1201-4974-8fa8-77dfe2cd0388
Local pid:
oai:eprints.maths.ox.ac.uk:1365
Deposit date:
2011-08-15

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