The development of biofilm architecture
Fowler, A. C.; Kyrke-Smith, T. M.; Winstanley, H. F.. 2016 The development of biofilm architecture. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, 472 (2188), 20150798. 10.1098/rspa.2015.0798
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An edited version of this paper was published in Proceedings of the Royal Society A. Copyright held by the Royal Society The development of biofilm architecture AAM.pdf - Accepted Version Download (441kB) | Preview |
Abstract/Summary
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.
| Item Type: | Publication - Article |
|---|---|
| Digital Object Identifier (DOI): | 10.1098/rspa.2015.0798 |
| Programmes: | BAS Programmes > BAS Programmes 2015 > Ice Dynamics and Palaeoclimate |
| ISSN: | 1364-5021 |
| Additional Keywords: | biofilm architecture, instability, biofilm structure, biofilm pattern |
| Date made live: | 06 Jul 2016 09:11 +0 (UTC) |
| URI: | https://nora.nerc.ac.uk/id/eprint/513920 |
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