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History dependence and the continuum approximation breakdown: the impact of domain growth on Turing’s instability

Abstract:

A diffusively driven instability has been hypothesised as a mechanism to drive spatial self-organisation in biological systems since the seminal work of Turing. Such systems are often considered on a growing domain, but traditional theoretical studies have only treated the domain size as a bifurcation parameter, neglecting the system non-autonomy. More recently, the conditions for a diffusively driven instability on a growing domain have been determined under stringent conditions, including s...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted manuscript

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Publisher copy:
10.1098/rspa.2016.0744

Authors


Klika, Václav More by this author
More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Institute
Publisher:
Royal Society Publisher's website
Journal:
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Journal website
Volume:
473
Issue:
2199
Pages:
0744
Publication date:
2017-03-15
Acceptance date:
2017-02-14
DOI:
EISSN:
1364-5021
ISSN:
1471-2946
Pubs id:
pubs:680350
URN:
uri:3e76547d-a5e9-4fd2-a191-a1bc45d7e1a8
UUID:
uuid:3e76547d-a5e9-4fd2-a191-a1bc45d7e1a8
Local pid:
pubs:680350

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