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From one pattern into another: analysis of Turing patterns in heterogeneous domains via WKBJ

Abstract:

Pattern formation from homogeneity is well studied, but less is known concerning symmetry-breaking instabilities in heterogeneous media. It is non-trivial to separate observed spatial patterning due to inherent spatial heterogeneity from emergent patterning due to nonlinear instability. We employ WKBJ asymptotics to investigate Turing instabilities for a spatially heterogeneous reaction–diffusion system, and derive conditions for instability which are local versions of the classical Turing co...

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Publication status:
Published
Peer review status:
Peer reviewed

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Files:
  • (Accepted manuscript, pdf, 2.5MB)
Publisher copy:
10.1098/rsif.2019.0621

Authors


More by this author
Institution:
University of Oxford
Department:
Mathematical Institute
Oxford college:
St Anne's College
Role:
Author
ORCID:
0000-0001-9638-7278
More by this author
Institution:
University of Oxford
Department:
Mathematical Institute
Oxford college:
Brasenose College
Role:
Author
ORCID:
0000-0002-6888-4362
Publisher:
Royal Society Publisher's website
Journal:
Journal of the Royal Society Interface Journal website
Volume:
17
Issue:
162
Publication date:
2020-01-15
Acceptance date:
2019-12-06
DOI:
EISSN:
1742-5662
ISSN:
1742-5689
Source identifiers:
1046536
Keywords:
Pubs id:
pubs:1046536
UUID:
uuid:b7faecae-f7e1-412f-948a-0c2af44b5be5
Local pid:
pubs:1046536
Deposit date:
2019-12-07

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