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Influence of stochastic domain growth on pattern nucleation for diffusive systems with internal noise.

Abstract:

Numerous mathematical models exploring the emergence of complexity within developmental biology incorporate diffusion as the dominant mechanism of transport. However, self-organizing paradigms can exhibit the biologically undesirable property of extensive sensitivity, as illustrated by the behavior of the French-flag model in response to intrinsic noise and Turing's model when subjected to fluctuations in initial conditions. Domain growth is known to be a stabilizing factor for the latter, th...

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Publication status:
Published

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Publisher copy:
10.1103/physreve.84.041905

Authors


Woolley, TE More by this author
More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Journal:
Physical review. E, Statistical, nonlinear, and soft matter physics
Volume:
84
Issue:
4 Pt 1
Pages:
041905
Publication date:
2011-10-05
DOI:
EISSN:
1550-2376
ISSN:
1539-3755
URN:
uuid:b08bc809-79c2-439e-9f24-dfc0eb6e8e76
Source identifiers:
199256
Local pid:
pubs:199256

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