Stochastic modeling of some aspects of biofilm behavior

Revista Mexicana de Fisica

Volumn 49, Issue 2, 2003, Pages 132-143

  Rodriguez R F ^a   Zamora, J M ^b   Salinas Rodriguez E ^b   Izquierdo, E ^c  

^a UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

^b DEPARTAMENTO DE QUÍMICA   (Mexico)

^c INSTITUTO SUPERIOR POLITÉCNICO JOSÉ ANTONIO ECHEVERRÍA   (Cuba)

Author keywords

Biofilm; External noise; Master equation; Roughness; Stochastic processes; Thickness

Indexed keywords

EID: 0038667420     PISSN: 0035001X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (31)

1. J.W. Costerton, G.G. Geesey and K.J. Cheng, Sci. Am. 238 (1978) 86.
2. B. Peyton, Wat. Res. 30 (1996) 29.
3. P.A. Wilderer and W.G. Characklis, "Structure and Functions of Biofilms" in Structure and Function of Biofilms, W.G. Characklis and P.A. Wilderer, editors (Wiley, New York, 1989)
4. B. Rittmann, Biotechnol. Bioeng. 24 (1982) 1341.
5. W. Characklis, Biotechnol. Bioeng. 23 (1981) 1923.
6. P. Stewart, R. Murge, R. Srinivesan, and D. de Beer, Wat. Res. 29 (1995) 2006.
7. R. Murge, P. Stewart, and D. Daly, Biotechnol. Bioeng. 45 (1995) 503.
8. R. Srinivasan, P. Stewart, T. Griebe, Ch. Chen, and X. Xu, Biotechnol. Bioeng. 46 (1995) 553.
9. D. de Beer, P. Stoodley, F. Roe and Z. Lewandowski, Biotechnol. Bioeng. 43 (1994) 1131.
10. T. Zhang and P. Bishop, Water Res. 28 (1994) 2279.
11. D. de Beer, P. Stoodley and Z. Lewandowski, Biotechnol. Bioeng. 44 (1994) 636.
12. T. Zhang and P. Bishop, Wat. Res. 28 (1994) 2267.
13. B. Rittmann and J. Manem, Biotechnol. Bioeng. 39 (1992) 778.
14. B.F. Picologlou, N. Zelver and W.G. Characklis, J. Hydraul. Division, Proc. ASCE 106 (HY5) (1980) 733.
15. N.G. van Kampen, Stochastic Processes in Physics and Chemistry (Elsevier, Amsterdam, 1992)
16. G.W. Gardiner, Handbook of Stochastic Processes (Springer Verlag, Berlin, 1994)
17. S.S. Tambe, V, Ravikumar, B.D. Kulkarni and L.K. Doraiswamy, Chem. Engn. Sci. 40 (1985) 1951.
18. L.D. Landau and E.M. Lifshitz, Statistical Physics (Addison Wesley, Reading, 1970)
19. S.S. Tambe, B.D. Kulkarni and L.K. Doraiswamy, Chem. Engn. Sci. 40 (1985) 1943.
20. W. Horsthemke and R. Lefever, Noise Induced Transitions, Synergetics, Series, Vol. 15 (Springer Verlag, Berlin, 1983)
21. R.F. Rodríguez, E. Salinas-Rodríguez, A. Hayashi, A. Soria and J.M. Zamora, AIChE J. 47 (2001) 1721.
22. J.M. Sancho and M. San Miguel, J. Stat. Phys. 37 (1984) 151.
23. N.S. Goel and N. Richter-Dyn, Stochastic Models in Biology (Academic Press, New York, 1974)
24. W.G. Characklis, G. MCFeters and K.C. Marshall, In Characklis, W.G., Marshall, K.C., editors Biofilms (New York, John Wiley & Sons, 1990) p. 341
25. W.G. Characklis, Water Res. 7 (1973) 1249.
26. E. Izquierdo Kulich, Descripción Estocástica de Biopelículas en Filtros Percoladores, Master in Chemical Engineering Thesis, National University of Mexico (in Spanish)(1998)
27. O. Wanner, A. Cunningham, and R. Lundman, Biotechnol. Bioeng. 47 (1995) 708.
28. H. Beyenal, Z. Lewandowski, AIChE J. 47 (2001) 1689.
29. S. Chaturvedi, C.W. Gardiner, I.S. Matheson and D.F. Walls, J. Stat. Phys. 17 (1977) 469.
30. C. van den Broeck, W. Horsthemke and M. Malek-Mansour, Physica A 89 (1977) 339.
31. R.B. Dickinson and S.L. Cooper, AIChE J. 41 (1995) 2160.