A polymer-solvent model of biofilm growth

被引：22

作者：

Winstanley, H. F. ^{[2
]}

Chapwanya, M. ^{[3
]}

McGuinness, M. J. ^{[4
]}

Fowler, A. C. ^{[1
]}

机构：

[1] Univ Limerick, Dept Math & Stat, MACSI, Limerick, Ireland

[2] Univ Oxford, Inst Math, Oxford OX1 3LB, England

[3] Univ Pretoria, Dept Math & Appl Math, ZA-0002 Pretoria, South Africa

[4] Victoria Univ Wellington, Sch Math Stat & Operat Res, Wellington, New Zealand

来源：

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2011年 / 467卷 / 2129期

基金：

爱尔兰科学基金会; 英国工程与自然科学研究理事会;

关键词：

biofilm; Flory-Huggins theory; mathematical model; PHASE-FIELD MODELS; DETACHMENT; MATRIX; ENERGY; GELS;

D O I：

10.1098/rspa.2010.0327

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页码：1449 / 1467

页数：19

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