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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Access Document
- Files:
-
-
(Preview, Accepted manuscript, pdf, 431.2KB, Terms of use)
-
- Publisher copy:
- 10.1098/rspa.2015.0798
Authors
- 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:
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1471-2946 and 1364-5021
- Pmid:
-
27274688
- Language:
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English
- Keywords:
- Pubs id:
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pubs:624188
- UUID:
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uuid:910b72e7-9b05-4a58-88a4-bd1ceebab696
- Local pid:
-
pubs:624188
- Deposit date:
-
2016-09-21
Terms of use
- Copyright holder:
- Andrew Fowler et al
- Copyright date:
- 2016
- Notes:
-
This is an
accepted manuscript of a journal article published by The Royal Society in Proceedings of the Royal Society A on 2016-04-20, available online: http://dx.doi.org/10.1098/rspa.2015.0798
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