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Journal article

The development of biofilm architecture

Abstract:
We extend the one-dimensional polymer solution theory of bacterial biofilm growth described by Winstanley et al. (2011 Proc. R. Soc. A 467, 1449-1467 (doi:10.1098/rspa.2010.0327)) to deal with the problem of the growth of a patch of biofilm in more than one lateral dimension. The extension is non-trivial, as it requires consideration of the rheology of the polymer phase. We use a novel asymptotic technique to reduce the model to a free-boundary problem governed by the equations of Stokes flow with non-standard boundary conditions. We then consider the stability of laterally uniform biofilm growth, and show that the model predicts spatial instability; this is confirmed by a direct numerical solution of the governing equations. The instability results in cusp formation at the biofilm surface and provides an explanation for the common observation of patterned biofilm architectures.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1098/rspa.2015.0798

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author


Publisher:
Royal Society
Journal:
Proceedings of the Royal Society A More from this journal
Volume:
472
Issue:
2188
Pages:
19
Publication date:
2016-04-20
Acceptance date:
2016-03-21
DOI:
ISSN:
1471-2946 and 1364-5021
Pmid:
27274688


Language:
English
Keywords:
Pubs id:
pubs:624188
UUID:
uuid:910b72e7-9b05-4a58-88a4-bd1ceebab696
Local pid:
pubs:624188
Deposit date:
2016-09-21

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