A polymer-solvent model of biofilm growth
| dc.contributor.author | Winstanley, H.F. | |
| dc.contributor.author | Chapwanya, Michael | |
| dc.contributor.author | McGuinness, M.J. | |
| dc.contributor.author | Fowler, Andrew Cadle, 1953- | |
| dc.date.accessioned | 2012-05-30T11:14:57Z | |
| dc.date.available | 2012-05-30T11:14:57Z | |
| dc.date.issued | 2011-05 | |
| dc.description.abstract | We provide and analyse a model for the growth of bacterial biofilms based on the concept of extra-cellular polymeric substance (EPS) as a polymer solution, whose viscoelastic rheology is described by the classical Flory-Huggins theory. We show that one-dimensional solutions exist, which take the form at large times of travelling waves, and we characterise their form and speed in terms of the describing parameters of the problem. Numerical solutions of the time- dependent problem converge to the travelling wave solutions. | en |
| dc.description.librarian | nf2012 | en |
| dc.description.sponsorship | We acknowledge the support of the Mathematics Applications Consortium for Science and Industry (www.macsi.ul.ie) funded by the Science Foundation Ireland mathematics initiative grant 06/MI/005. This publication has emanated from research conducted with the financial support of Science Foundation Ireland under Grant Number: SFI/09/IN.1/I2645. HW acknowledges the support of the Life Sciences Interface DTC (www.lsi.ox.ac.uk) funded by EPSRC grant GR/R96149/01. | en_US |
| dc.description.uri | http://rspa.royalsocietypublishing.org/content/467/2129/1449 | en_US |
| dc.identifier.citation | Winstanley, HF, Chapwanya, M, McGuinness, MJ & Fowler, AC 2011, 'A polymer-solvent model of biofilm growth', Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences, vol. 467, no. 2129, pp. 1449-1467. | en |
| dc.identifier.issn | 1364-5021 (print) | |
| dc.identifier.issn | 1471-2946 (online) | |
| dc.identifier.other | 10.1098/rspa.2010.0327 | |
| dc.identifier.uri | http://hdl.handle.net/2263/19019 | |
| dc.language.iso | en | en_US |
| dc.publisher | Royal Society | en_US |
| dc.rights | © 2010 The Royal Society | en_US |
| dc.subject | Flory-Huggins theory | en |
| dc.subject | Polymer-solvent model | en |
| dc.subject | Biofilm growth | en |
| dc.subject | Extracellular polymeric substances (EPS) | en |
| dc.subject.lcsh | Biofilms -- Mathematical models | en |
| dc.title | A polymer-solvent model of biofilm growth | en |
| dc.type | Postprint Article | en |