3-D spatio-temporal structures of biofilms in a water channel

被引:7
作者
Chen, Chen [1 ]
Hou, Shuyu [2 ]
Ren, Dacheng [2 ]
Ren, Mingming [3 ,4 ]
Wang, Qi [3 ,5 ,6 ,7 ]
机构
[1] Univ S Carolina, Dep Math, Columbia, SC 29208 USA
[2] Syracuse Univ, Dept Chem Engn, Syracuse, NY 13244 USA
[3] Beijing Computat Sci Res Ctr, Beijing 100084, Peoples R China
[4] Nankai Univ, Sch Software, Tianjin 300071, Peoples R China
[5] Univ S Carolina, Interdisciplinary Math Inst, Dept Math, Columbia, SC 29208 USA
[6] Univ S Carolina, NanoCtr, Columbia, SC 29208 USA
[7] Nankai Univ, Sch Math, Tianjin 300071, Peoples R China
基金
美国国家科学基金会;
关键词
biofilms; finite difference method; hydrodynamics; modeling; 3-D simulations; NUMERICAL SIMULATIONS; NONUNIFORM SYSTEM; FREE-ENERGY;
D O I
10.1002/mma.2828
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We develop a numerical predictive tool for multiphase fluid mixtures consisting of biofilms grown in a viscous fluid matrix by implementing a second-order finite difference discretization of the multiphase biofilm model developed recently on a general purpose graphic processing unit. With this numerical tool, we study a 3-D biomass-flow interaction resulting in biomass growth, structure formation, deformation, and detachment phenomena in biofilms grown in a water channel in quiescent state and subject to a shear flow condition, respectively. The numerical investigation is limited in the viscous regime of the biofilm-solvent mixture. In quiescent flows, the model predicts growth patterns consistent with experimental findings for single or multiple adjacent biofilm colonies, the so-called mushroom shape growth pattern. The simulated biomass growth both in density and thickness matches very well with the experimentally grown biofilm in a water channel. When shear is imposed at a boundary, our numerical studies reproduce wavy patterns, pinching, and streaming phenomena observed in biofilms grown in a water channel. Copyright (C) 2014 John Wiley & Sons, Ltd.
引用
收藏
页码:4461 / 4478
页数:18
相关论文
共 33 条
[1]   A multidimensional multispecies continuum model for heterogeneous biofilm development [J].
Alpkvist, Erik ;
Klapper, Isaac .
BULLETIN OF MATHEMATICAL BIOLOGY, 2007, 69 (02) :765-789
[2]  
[Anonymous], 1995, INTRO POLYM PHYS
[3]  
Beris A. N., 1994, Thermodynamics of Flowing Systems: With Internal Microstructure
[4]  
Bird R.B., 1987, Dynamics of Polymeric Liquids: Volume 1, Fluid Mechanics, V1
[5]  
Bird R. Byron, 1987, Kinetic theory, V2
[6]   FREE ENERGY OF A NONUNIFORM SYSTEM .1. INTERFACIAL FREE ENERGY [J].
CAHN, JW ;
HILLIARD, JE .
JOURNAL OF CHEMICAL PHYSICS, 1958, 28 (02) :258-267
[7]   FREE ENERGY OF A NONUNIFORM SYSTEM .3. NUCLEATION IN A 2-COMPONENT INCOMPRESSIBLE FLUID [J].
CAHN, JW ;
HILLIARD, JE .
JOURNAL OF CHEMICAL PHYSICS, 1959, 31 (03) :688-699
[8]   3-D Numerical Simulations of Biofilm Flows [J].
Chen, Chen ;
Ren, Mingming ;
Srinivansan, Ashok ;
Wang, Qi .
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2011, 1 (03) :197-214
[9]   Channel formation in gels [J].
Cogan, NG ;
Keener, JP .
SIAM JOURNAL ON APPLIED MATHEMATICS, 2005, 65 (06) :1839-1854
[10]   The role of the biofilm matrix in structural development [J].
Cogan, NG ;
Keener, JP .
MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA, 2004, 21 (02) :147-166