A polymer-solvent model of biofilm growth
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...
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
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2011
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| _version_ | 1797073923246915584 |
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| author | Winstanley, H Chapwanya, M McGuinness, M Fowler, A |
| author_facet | Winstanley, H Chapwanya, M McGuinness, M Fowler, A |
| author_sort | Winstanley, H |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-06T23:28:52Z |
| format | Journal article |
| id | oxford-uuid:6b559133-190b-4a0d-aa10-e4e835fe559b |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T23:28:52Z |
| publishDate | 2011 |
| record_format | dspace |
| spelling | oxford-uuid:6b559133-190b-4a0d-aa10-e4e835fe559b2022-03-26T19:03:14ZA polymer-solvent model of biofilm growthJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:6b559133-190b-4a0d-aa10-e4e835fe559bEnglishSymplectic Elements at Oxford2011Winstanley, HChapwanya, MMcGuinness, MFowler, AWe 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. |
| spellingShingle | Winstanley, H Chapwanya, M McGuinness, M Fowler, A A polymer-solvent model of biofilm growth |
| title | A polymer-solvent model of biofilm growth |
| title_full | A polymer-solvent model of biofilm growth |
| title_fullStr | A polymer-solvent model of biofilm growth |
| title_full_unstemmed | A polymer-solvent model of biofilm growth |
| title_short | A polymer-solvent model of biofilm growth |
| title_sort | polymer solvent model of biofilm growth |
| work_keys_str_mv | AT winstanleyh apolymersolventmodelofbiofilmgrowth AT chapwanyam apolymersolventmodelofbiofilmgrowth AT mcguinnessm apolymersolventmodelofbiofilmgrowth AT fowlera apolymersolventmodelofbiofilmgrowth AT winstanleyh polymersolventmodelofbiofilmgrowth AT chapwanyam polymersolventmodelofbiofilmgrowth AT mcguinnessm polymersolventmodelofbiofilmgrowth AT fowlera polymersolventmodelofbiofilmgrowth |