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A polymer-solvent model of biofilm growth

Abstract:
We provide and analyse a model for the growth of bacterial biofilms based on the concept of an extracellular polymeric substance 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 characterize 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. © 2010 The Royal Society.
Publication status:
Published

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Publisher copy:
10.1098/rspa.2010.0327

Authors


Journal:
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Volume:
467
Issue:
2129
Pages:
1449-1467
Publication date:
2011-05-08
DOI:
EISSN:
1471-2946
ISSN:
1364-5021
URN:
uuid:6b559133-190b-4a0d-aa10-e4e835fe559b
Source identifiers:
189603
Local pid:
pubs:189603
Language:
English
Keywords:

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