Mathematical modeling of mixed-culture biofilms

Biotechnology and Bioengineering

Volumn 49, Issue 2, 1996, Pages 172-184

  Wanner, O ^a   Reichert, P ^a  

^a SWISS FEDERAL INSTITUTE OF AQUATIC SCIENCE AND TECHNOLOGY   (Switzerland)

Author keywords

Biofilm; diffusion; mixed culture; model; simulation

Indexed keywords

BIOFILMS; CELL CULTURE; COMPUTER SIMULATION; MATHEMATICAL MODELS;

MIXED CULTURE BIOFILMS; SOFTWARE PACKAGE AQUASIM;

BIOTECHNOLOGY;

ARTICLE; BIOFILM; COMPUTER PROGRAM; DIFFUSION; MATHEMATICAL MODEL; SIMULATION;

EID: 0030061778     PISSN: 00063592     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0290(19960120)49:2<172::AID-BIT6>3.0.CO;2-N     Document Type: Article

References (19)

1. Costerton, J. W., Lewandowski, Z., DeBeer, D., Caldwell, D., Korber, D., James, G. 1994. Biofilms, the customized microniche. J. Bacteriol. 176: 2137-2142.
2. Drury, W. J., Characklis, W. G., Stewart, P. S. 1993. Interactions of 1 μm latex particles with Pseudomonas aeruginosa biofilms. Water Res. 27: 1119-1126.
3. Drury, W. J., Stewart, P. S., Characklis, W. G. 1993. Transport of 1-μm latex particles in Pseudomonas aeruginosa biofilms. Biotechnol. Bioeng. 42: 111-117.
4. Fu, Y., Zhang, T. C., Bishop, P. L. 1994. Determination of effective oxygen diffusivity in biofilms grown in a completely mixed biodrum reactor. Water Sci. Tech. 29: 455-462.
5. Gear, C. W. 1971. The automatic integration of ordinary differential equations. Commun. ACM 14: 176-179.
6. Gujer, W., Wanner, O. 1990. Modeling mixed population biofilms. pp. 397-443. In: W. G. Characklis and K. C. Marshall (eds.), Biofilms. Wiley, New York.
7. Lewandowski, Z., Stoodley, P., Altobelli, S., Fukushima, E. 1994. Hydrodynamics and kinetics in biofilm systems - recent advances and new problems. Water Sci. Tech. 29: 223-229.
8. Petzold, L. R. 1983. A description of DASSL: A differential/algebraic system solver. pp. 65-68. In: R. S. Stepleman (ed.), Scientific computing. IMACS, North Holland, Amsterdam.
9. Reichert, P. 1994. AQUASIM - a tool for simulation and data analysis of aquatic systems. Water Sci. Tech. 30: 21-30.
10. Reichert, P. 1994. Concepts underlying a computer program for the identification and simulation of aquatic systems. Schriftenreihe der EAWAG 7, Swiss Federal Institute for Environmental Science and Technology, CH-8600 Duebendorf, Switzerland.
11. Rittmann, B. E., McCarty, P. L. 1980. Model of steady-state biofilm kinetics. Biotechnol. Bioeng. 22: 2343-2357.
12. Tamar, E.-K., Sheintuch, M., Avnir, D. 1991. Steady-state diffusion and reactions in catalytic fractal porous media. Chem. Eng. Sci. 46: 2787-2798.
13. Wanner, O., Gujer W. 1984. Competition in biofilms. Water Sci. Tech. 17: 27-44.
14. Wanner, O., Gujer, W. 1986. A multispecies biofilm model. Biotechnol. Bioeng. 28: 314-328.
15. Wanner, O. 1989. Modeling population dynamics, pp. 91-110. In: W. G. Characklis and P. A. Wilderer (eds.), Structure and function of biofilms. Wiley, New York.
16. Wanner, O. 1994. Modeling of mixed-population biofilm accumulation, pp. 37-62. In: G. G. Geesey, Z. Lewandowski, and H.-C. Flemming (eds.), Biofouling and biocorrosion in industrial water systems. Lewis Publishers, Boca Raton, FL.
17. Wanner, O. New experimental findings and biofilm modeling concepts. Water Sci. Tech. (to appear).
18. Zhang, T. C., Bishop, P. L. 1994. Density, porosity, and pore structure of biofilms. Water Res. 28: 2267-2277.
19. Zhang, T. C., Bishop, P. L. 1994. Evaluation of tortuosity factors and effective diffusivities in biofilms. Water Res. 28: 2279-2287.