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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
Peer review status:
Peer reviewed
Version:
Publisher's version

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Publisher copy:
10.1103/PhysRevE.84.041905

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Institute
Role:
Author
More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Institute
Role:
Author
Publisher:
American Physical Society Publisher's website
Journal:
Phys. Rev. E Journal website
Volume:
84
Issue:
4
Pages:
041905-041905
Chapter number:
4
Publication date:
2011-10-03
DOI:
EISSN:
1550-2376
URN:
uuid:aae9c058-4984-453a-ae31-411f902b65c6
Source identifiers:
195578
Local pid:
pubs:195578
Paper number:
4

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