Comparing biofilm models for a single species biofilm system.

A benchmark problem was defined to evaluate the performance of different mathematical biofilm models. The biofilm consisted of heterotrophic bacteria degrading organic substrate and oxygen. Mathematical models tested ranged from simple analytical to multidimensional numerical models. For simple and more or less flat biofilms it was shown that analytical biofilm models provide very similar results compared to more complex numerical solutions. When considering a heterogeneous biofilm morphology it was shown that the effect of an increased external mass transfer resistance was much more significant compared to the effect of an increased surface area inside the biofilm.

[1]  E. Morgenroth,et al.  Modeling Steady-State Biofilms with Dual-Substrate Limitations , 2005 .

[2]  E Morgenroth,et al.  Biofilm modeling with AQUASIM. , 2004, Water science and technology : a journal of the International Association on Water Pollution Research.

[3]  D. Noguera,et al.  Introduction to the IWA task group on biofilm modeling. , 2004, Water science and technology : a journal of the International Association on Water Pollution Research.

[4]  M. V. van Loosdrecht,et al.  Modelling a spatially heterogeneous biofilm and the bulk fluid: selected results from benchmark problem 2 (BM2). , 2004, Water Science and Technology.

[5]  M. V. van Loosdrecht,et al.  Results from the multi-species benchmark problem (BM3) using one-dimensional models. , 2004, Water science and technology : a journal of the International Association on Water Pollution Research.

[6]  D. Griffeath,et al.  Quantitative cellular automaton model for biofilms , 2001 .

[7]  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 .

[8]  Peter A. Wilderer,et al.  Influence of detachment mechanisms on competition in biofilms , 2000 .

[9]  M. Loosdrecht,et al.  Evaluating 3-D and 1-D mathematical models for mass transport in heterogeneous biofilms , 2000 .

[10]  Eberhard Morgenroth,et al.  Biofilm models for the practitioner , 2000 .

[11]  J J Heijnen,et al.  Mathematical modeling of biofilm structure with a hybrid differential-discrete cellular automaton approach. , 1998, Biotechnology and bioengineering.

[12]  P Reichert,et al.  Mathematical modeling of mixed‐culture biofilms , 1996, Biotechnology and bioengineering.

[13]  B. Rittmann,et al.  Accurate pseudoanalytical solution for steady-state biofilms. , 1992, Biotechnology and bioengineering.

[14]  Paul Vincent Knopp,et al.  of wastewater treatment , 1978 .

[15]  P Harrcmoes,et al.  THE SIGNIFICANCE OF PORE DIFFUSION TO FILTER DENITRIFICATION , 1976 .