A polymer–solvent model of biofilm growth
2010 ◽
Vol 467
(2129)
◽
pp. 1449-1467
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Keyword(s):
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.
2019 ◽
Vol 97
(1-2)
◽
pp. 30-39
2005 ◽
Vol 135
(4)
◽
pp. 663-675
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Keyword(s):
2005 ◽
Vol 462
(2065)
◽
pp. 229-261
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2013 ◽
Vol 10
(84)
◽
pp. 20130188
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Keyword(s):
1990 ◽
Vol 430
(1879)
◽
pp. 315-345
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