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Domain size driven instability: self-organisation in systems with advection

Abstract:

Models for self-organization have been used in complex systems across numerous disciplines, with a prime example given by the Turing instability. However, this instability is subject to several constraints and is restricted to relatively small regions of parameter space. This leads to parameter sensitivity and the Turing instability also exhibits sensitivity to initial conditions, domain geometries, the presence of immobile species, and, in biological contexts, receptor and gene expression dy...

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

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Publisher copy:
10.1137/17M1138571

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Institution:
University of Oxford
Department:
Mathematical Institute
Oxford college:
Brasenose College
Publisher:
Society for Industrial and Applied Mathematics Publisher's website
Journal:
SIAM Journal on Applied Mathematics Journal website
Volume:
78
Issue:
5
Pages:
2298–2322
Publication date:
2018-09-04
Acceptance date:
2018-06-13
DOI:
EISSN:
1095-712X
ISSN:
0036-1399
Pubs id:
pubs:890363
URN:
uri:418dbd26-183e-412e-862f-e75211fd42e0
UUID:
uuid:418dbd26-183e-412e-862f-e75211fd42e0
Local pid:
pubs:890363

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