Browsing Research Articles (Mathematics and Applied Mathematics) by Author "Winstanley, H.F."

Browsing Research Articles (Mathematics and Applied Mathematics) by Author "Winstanley, H.F."

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  • 2D channel-clogging biofilm model 
    Winstanley, H.F.; Chapwanya, Michael; Fowler, Andrew Cadle, 1953-; O’Brien, S.B.G. (Springer, 2015-09)
    We present a model of biofilm growth in a long channel where the biomass is assumed to have the rheology of a viscous polymer solution. We examine the competition between growth and erosion-like surface detachment due ...
  • A polymer-solvent model of biofilm growth 
    Winstanley, H.F.; Chapwanya, Michael; McGuinness, M.J.; Fowler, Andrew Cadle, 1953- (Royal Society, 2011-05)
    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 ...