A two‐dimensional continuum model of biofilm growth incorporating fluid flow and shear stress based detachment
暂无分享,去创建一个
[1] A new mathematical model for chemotactic bacterial colony growth. , 2004, Water science and technology : a journal of the International Association on Water Pollution Research.
[2] J. Wimpenny,et al. A unifying hypothesis for the structure of microbial biofilms based on cellular automaton models , 1997 .
[3] Paul Stoodley,et al. A model of fluid–biofilm interaction using a Burger material law , 2007, Biotechnology and bioengineering.
[4] I. Ozturk,et al. The effect of anaerobic pre-treatment on the inert soluble COD of fermentation industry effluents , 1995 .
[5] J J Heijnen,et al. Effect of diffusive and convective substrate transport on biofilm structure formation: a two-dimensional modeling study. , 2000, Biotechnology and bioengineering.
[6] D. Chopp,et al. A mathematical model of quorum sensing in a growing bacterial biofilm , 2002, Journal of Industrial Microbiology and Biotechnology.
[7] Hideki Harada,et al. Adhesion strength of biofilm developed in an attached-growth reactor , 1994 .
[8] J. J. Heijnen,et al. Discrete-differential modelling of biofilm structure , 1999 .
[9] B. Rittmann,et al. A unified theory for extracellular polymeric substances, soluble microbial products, and active and inert biomass. , 2002, Water research.
[10] Pedro Díez,et al. Numerical modelling of tectonic plates subduction using X-FEM , 2007 .
[11] P. Stewart,et al. Biofilm accumulation model that predicts antibiotic resistance of Pseudomonas aeruginosa biofilms , 1994, Antimicrobial Agents and Chemotherapy.
[12] Anders Heyden,et al. Three‐dimensional biofilm model with individual cells and continuum EPS matrix , 2006, Biotechnology and bioengineering.
[13] B. Peyton,et al. A statistical analysis of the effect of substrate utilization and shear stress on the kinetics of biofilm detachment , 1993, Biotechnology and bioengineering.
[14] S. Karamanos,et al. Finite element modeling to expand the UMCCA model to describe biofilm mechanical behavior , 2005 .
[15] David L. Chopp,et al. Influence of the Hydrodynamic Environment on Quorum Sensing in Pseudomonas aeruginosa Biofilms , 2007, Journal of bacteriology.
[16] P. M. Gresho,et al. Incompressible flow and the finite element method. Volume 2: Incompressible flow and finite element , 1998 .
[17] D. Chopp,et al. The impact of quorum sensing and swarming motility on Pseudomonas aeruginosa biofilm formation is nutritionally conditional , 2006, Molecular microbiology.
[18] J J Heijnen,et al. Two-dimensional model of biofilm detachment caused by internal stress from liquid flow. , 2001, Biotechnology and bioengineering.
[19] J. J. Heijnen,et al. A three-dimensional numerical study on the correlation of spatial structure, hydrodynamic conditions, and mass transfer and conversion in biofilms , 2000 .
[20] J. Keener,et al. A mathematical model for quorum sensing in Pseudomonas aeruginosa , 2001, Bulletin of mathematical biology.
[21] D. Chopp,et al. A combined extended finite element and level set method for biofilm growth , 2008 .
[22] Cory J. Rupp,et al. Viscoelastic fluid description of bacterial biofilm material properties. , 2002, Biotechnology and bioengineering.
[23] Benjamin L. Vaughan. Application of the eXtended finite element method in mathematical biology , 2007 .
[24] W Gujer,et al. A multispecies biofilm model , 1986, Biotechnology and bioengineering.
[25] J. Sethian,et al. Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations , 1988 .
[26] I. Klapper,et al. A Multidimensional Multispecies Continuum Model for Heterogeneous Biofilm Development , 2007 .
[27] B. Rittman,et al. The effect of shear stress on biofilm loss rate. , 1982, Biotechnology and bioengineering.
[28] J J Heijnen,et al. A theoretical study on the effect of surface roughness on mass transport and transformation in biofilms. , 2000, Biotechnology and bioengineering.
[29] Wing Kam Liu,et al. Nonlinear Finite Elements for Continua and Structures , 2000 .
[30] H. Eberl,et al. Exposure of biofilms to slow flow fields: the convective contribution to growth and disinfection. , 2008, Journal of theoretical biology.
[31] D. Chopp,et al. The dependence of quorum sensing on the depth of a growing biofilm , 2003, Bulletin of mathematical biology.
[32] J. Kreft,et al. Microbial motility involvement in biofilm structure formation--a 3D modelling study. , 2007, Water science and technology : a journal of the International Association on Water Pollution Research.
[33] Bruce E. Rittmann,et al. Simulation of multispecies biofilm development in three dimensions , 1999 .
[34] P. Stewart,et al. A model of biofilm detachment , 1993, Biotechnology and bioengineering.
[35] Isaac Klapper,et al. Finger Formation in Biofilm Layers , 2002, SIAM J. Appl. Math..
[36] I. Klapper,et al. Description of mechanical response including detachment using a novel particle model of biofilm/flow interaction. , 2007, Water science and technology : a journal of the International Association on Water Pollution Research.
[37] Ted Belytschko,et al. Arbitrary discontinuities in finite elements , 2001 .
[38] A B Cunningham,et al. Modeling biofilm accumulation and mass transport in a porous medium under high substrate loading , 1995, Biotechnology and bioengineering.
[39] Bruce E Rittmann,et al. Non-steady state modeling of extracellular polymeric substances, soluble microbial products, and active and inert biomass. , 2002, Water research.
[40] David L. Chopp,et al. The extended finite element method for boundary layer problems in biofilm growth , 2007 .
[41] D. F. Parker,et al. A New Deterministic Spatio-Temporal Continuum Model for Biofilm Development , 2001 .
[42] G. Booth,et al. BacSim, a simulator for individual-based modelling of bacterial colony growth. , 1998, Microbiology.
[43] B. Hawkins. A Framework for the , 2004 .
[44] Mark C M van Loosdrecht,et al. A general description of detachment for multidimensional modelling of biofilms. , 2005, Biotechnology and bioengineering.
[45] David L. Chopp,et al. A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources , 2006 .
[46] David L. Chopp,et al. Some Improvements of the Fast Marching Method , 2001, SIAM J. Sci. Comput..
[47] Qi Wang,et al. PHASE-FIELD MODELS FOR BIOFILMS. I. THEORY AND 1-D SIMULATIONS ∗ , 2008 .
[48] Tianyu Zhang,et al. Phase-Field Models for Biofilms II. 2-D Numerical Simulations of Biofilm-Flow Interaction , 2008 .
[49] Cristian Picioreanu,et al. Constrained discounted Markov decision processes and Hamiltonian cycles , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.
[50] Mark C M van Loosdrecht,et al. A framework for multidimensional modelling of activity and structure of multispecies biofilms. , 2005, Environmental microbiology.
[51] B. Rittmann,et al. Evaluating trends in biofilm density using the UMCCA model. , 2004, Water research.
[52] Mark C.M. van Loosdrecht,et al. A more unifying hypothesis for biofilm structures , 1997 .
[53] S W Hermanowicz. A simple 2D biofilm model yields a variety of morphological features. , 2001, Mathematical biosciences.