PMID: 22587124May 17, 2012Paper

Multicomponent hydrodynamic model for heterogeneous biofilms: two-dimensional numerical simulations of growth and interaction with flows

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Brandon LindleyTianyu Zhang

Abstract

We develop a tricomponent (ternary) hydrodynamic model for multiphase flows of biomass and solvent mixtures, which we employ to simulate biofilm. In this model, the three predominant effective components in biofilms, which are the extracellular polymeric substance (EPS) network, the bacteria, and the effective solvent (consisting of the solvent and nutrient, etc.), are modeled explicitly. The tricomponent fluid mixture is assumed incompressible as a whole, while intercomponent mixing, dissipation, and conversion are allowed among the effective components. Bacterial growth and EPS production due to the growing bacterial population are modeled in the biomass transport equations. Bacterial decay due to starvation and natural causes is accounted for in the bacterial population dynamics to capture the possible bacterial population reduction due to the depletion of the nutrient. In the growth regime for biofilms, the mixture behaves like a multiphase viscous fluid, in which the molecular relaxation is negligible in the corresponding time scale. In this regime, the dynamics of biofilm growth in the solvent (water) are simulated using a two-dimensional finite difference solver that we developed, in which the distribution and evolution ...Continue Reading

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Citations

Jan 8, 2016·Journal of Theoretical Biology·Jia ZhaoQi Wang
Jun 9, 2016·Proceedings. Mathematical, Physical, and Engineering Sciences·A C FowlerH F Winstanley
Jan 1, 2014·Pathogens and Disease·Philip S Stewart
Mar 27, 2015·Journal of the Royal Society, Interface·Giordano TierraMark S Alber
Dec 15, 2015·Physical Biology·Maxime ArdréMathis Plapp
Oct 16, 2019·Proceedings. Mathematical, Physical, and Engineering Sciences·Alexander TamBenjamin J Binder
Feb 20, 2013·Energy & Environmental Science·Rs RenslowH Beyenal
Jul 26, 2017·Journal of Mathematical Biology·M R MatteiG Esposito
Mar 25, 2021·Bulletin of Mathematical Biology·Dianlei FengUdo Nackenhorst

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