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Influence of curvature, growth, and anisotropy on the evolution of Turing patterns on growing manifolds

Abstract:

We study two-species reaction–diffusion systems on growing manifolds, including situations where the growth is anisotropic yet dilational in nature. In contrast to the literature on linear instabilities in such systems, we study how growth and anisotropy impact the qualitative properties of nonlinear patterned states which have formed before growth is initiated. We produce numerical solutions to numerous reaction–diffusion systems with varying reaction kinetics, manner of growth (both isotrop...

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

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Publisher copy:
10.1007/s11538-018-0535-y

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Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Oxford college:
St Annes College
ORCID:
0000-0001-9638-7278
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ORCID:
0000-0002-8506-3961
Publisher:
Springer US Publisher's website
Journal:
Bulletin of Mathematical Biology Journal website
Volume:
81
Issue:
3
Pages:
759–799
Publication date:
2018-12-03
Acceptance date:
2018-11-19
DOI:
EISSN:
1522-9602
ISSN:
0092-8240
Pubs id:
pubs:951061
URN:
uri:d766c37b-799d-4aa3-b58a-6cc878dd00c4
UUID:
uuid:d766c37b-799d-4aa3-b58a-6cc878dd00c4
Local pid:
pubs:951061

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