A review of mathematical modelling of biofilm processes: Advances in modelling of selected biofilm processes

International Journal of Environmental Studies

Volumn 56, Issue 3, 1999, Pages 285-312

  Beg, Shafkat A ^a   Chaudhry, Muhammad Arshad S ^a  

^a KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS   (Saudi Arabia)

Author keywords

Biofilm processes; Bioregeneration; Mathematical modelling; Nitrification and denitrification

Indexed keywords

ACTIVATED CARBON; ADSORPTION; AEROBIC FERMENTATION; BIODEGRADATION; BIOFILM; DENITRIFICATION; FERMENTATION MODEL; MATHEMATICAL MODEL; NITRIFICATION;

EID: 0032969519     PISSN: 00207233     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207239908711206     Document Type: Article

References (113)

1. V. Lazarova and J. Manem, "Biofilm characterization and activity analysis in water and wastewater treatment", Wat. Res. 29, 2227-2245 (1995).
2. M. K. Banks and L. D. Bryers, "Bacterial species dominance within a binary culture biofilm", Appl. Envir. Microbiol. 57, 1974-1979 (1991).
3. D. de Beer, P. Stoodley, F. Roe and Z. Lewandowski, "Effects of biofilm structures on oxygen distribution and mass transport", Biotech. Bioeng. 43, 1131-1138(1994).
4. V. Lazarova, B. Capdeville and L. Nikolov, "Biofilm performance of a fluidized bed biofilm reactor for drinking water denitrification", Wat. Sci. Technol. 26 (3/ 4), 555-566 (1992).
5. R. F. Mueller, W. G. Characklis, W. L. Jones and J. T. Sears, "Characterization of initial events in bacterial surface colonization by two Pseudomonas species using image analysis", Biotech. Bioeng. 39, 1161-1170 (1992).
6. G. M. Murgel, L. W. Lion, C. Acheson, M. L. Shuler, D. Emerson and W. Ghiorse, "Experimental apparatus for selection of adherent microorganisms under stringent growth conditions", Appl. Envir. Microbiol. 57, 1987-1996 (1991).
7. M. A. Siebel and W. G. Characklis, "Observations of binary population biofilms", Biotech. Bioeng. 37, 778-789 (1991).
8. Z. Lewandowski, P. Stoodley, S. Altobelli and E. Fukushima, "Hydrodynamics and kinetics in biofilm systems - Recent advances and new problems", Wat. Sci. Tech. 29, 223-229 (1994).
9. P. S. Golla and T. J. Overcamp, "Simple solutions for steady state biofilm reactors", J. Environ. Eng. Div. A. S. C. E. 116, 829-836 (1990).
10. R. B. Kim and M. T. Suidan, "Approximate algebraic solution for a biofilm model with Monod kinetic expression", Wat. Res. 23, 1491-1498 (1989).
11. M. T. Suidan and Y. T. Wang, "Unified analysis of biofilm kinetics", J. Environ. Eng. Div. A. S. C. E. 111, 634-646 (1985).
12. M. T. Suidan, Y. T. Wang and B. R. Kim, "Performance evaluation of biofilm reactors using graphical techniques", Wat. Res. 23, 837-844 (1989).
13. M. S. Heath, S. A. Wirtel and B. E. Rittmann, "Simplified design of biofilm processes using normalized loading curves", Res. J. WPCF. 62, 185-192 (1990).
14. P. B. Saez and B. E. Rittmann, "Improved pseudo-analytical solution for the steady state biofilm kinetics", Biotech. Bioeng. 32, 379-385 (1988).
15. P. B. Saez and B. E. Rittmann, "Accurate pseudo-analytical solution for the steady state biofilms", Biotech. Bioeng. 39, 790-793 (1992).
16. R. J. Bull, C. Gerba and R. R. Trussel, "Evaluation of the health risks associated with dis-infection", Crit. Rev. Envir. Control 20, 77-114 (1990).
17. M. I. H. Aleem, "Oxidation of inorganic nitrogen compounds", Ann. Rev. Plant Physiol. 21, 67-90 (1970).
18. D. D. Focht and A. Chang, "Nitrification and denitrification processes related to wastewater treatment", Adv. Appl. Microbiol. 19, 153-166 (1975).
19. H. A. Painter, "A review of literature on inorganic nitrogen metabolism in microorganisms", Water Res. 4, 393-450 (1970).
20. B. Sharma and R. C. Ahlert, "Nitrification and nitrogen removal", Wat. Res. 11, 897-925 (1977).
21. W. Wallance and D. J. O. Nicholas, "The biochemistry of nitrifying microorganisms", Biol. Rev. 44, 359-391 (1969).
22. D. D. Focht and W. Verstraete, "Biochemical ecology of nitrification and denitrification", Advances in Microbial Ecology (Ed., M. Alexander) 1 (plennum Press, N.Y., 1977), pp. 135-214.
23. H. A. Painter, "Nitrification in the treatment of sewage and wastewaters" Nitrification, (Ed. J. I. Prosser, IRL Press, Oxford, 1986) pp. 185-211.
24. E. L. Schmidt, "Nitrification in soil" In: Nitrogen in Agricultural Soils, Eds. R. C. Dinauer, K. E. Gates, M. Stelly, F. J. Stevanson, J. M. Bremner, R. D. Hauck and D. R. Keeney (Agronomy, Madison, WI, 1982) pp. 253-288.
25. D. Barnes and P. J. Bliss, Biological Control of Nitrogen in Wastewater Treatment, E. & F. Spon Ltd. London, 1983.
26. L. W. Belser, "Population ecology of nitrifying bacteria", Ann. Rev. Microbiol. 33, 309-333 (1979).
27. J. G. Kuenen and L. A. Robertson, "Ecology of nitrification and denitrification", Symposium Soc. Gen. Microbiol., 42nd nitrogen sulphur cycles pp. 161-218 (1988).
28. J. I. Prosser, "Autotrophic nitrification in bacteria", Adv. Microb. Physiol. 30, 125-181 (1989).
29. R. H. Wijffels and J. Tramper, "Nitrification by immobilized cells", Enzyme Microb. Tech., 17, 482-492 (1995).
30. C. S. Gee, M. T. Suidan and J. T. Pfeffer, "Modeling of Nitrification under substrate-inhibiting conditions", J. Environ. Eng. 116, 18-31 (1990).
31. J. H. Quastel and P. G. Scholefield, "Influence of organic nitrogen compounds on nitrifications in soil", Nature 164, 1068-1072 (1949).
32. R. T. Haug and P. L. McCarty, "Nitrification with the submerged filter", J. Wat. Poll. Control Fed. 44, 2086-2098 (1972).
33. H. Tanaka and I. J. Dunn, "Kinetics of biofilm nitrification", Biotech. Bioeng. 24, 669-689 (1982).
34. W. Gujar and M. Boller, "Design of a nitrifying tertiary trickling filter based on theoretical concepts", Wat. Res. 20, 1353-1362 (1986).
35. W. Gujar and M. Boller, "Nitrification in tertiary trickling filters followed by deep be filters", Wat. Res. 20, 1363-1372 (1986).
36. D. Parker, M. Lutz, R. Dahl and S. Bernkopf, "Enhancing reaction rates in nitrifying trickling filters through biofilm control", J. WPCF. 61, 618-631 (1989).
37. D. K. Stevens, P. M. Berthouex and T. W. Chapman, "Dynamic model of nitrification in fluidized bed", J. Environ. Eng. 115, 910-929 (1989).
38. D. V. Vayenas and G. Lyberatos, "A noval model for nitrifying trickling filters", Wat. Res. 28, 1275-1284 (1994).
39. W. Torpey, H. Heukelekian, A. J. Kaplovsky and L. Epstein, "Effects of exposing slimes on rotating discs to atmosphere enriched with oxygen", Adv. Water Pollution Research, Pergamon Press, London (1972).
40. C. N. Weng and A. H. Molof, "Nitrification in the biological fixed-film rotating disk system", J. WPCF. 46, 1674-1685 (1974).
41. P. Harremoes, "Criteria for nitrification in fixed film reactors", Wat. Sci. Tech. 14, 167-187 (1982).
42. J. A. Mueller, P. Paquin and J. Famularo, "Nitrification in rotating biological contactors", J. WPCF. 52, 688-710 (1980).
43. E. Strand, "Model of ammonia and carbon oxidation in biofilms", J. Envir. Eng. 112, 785-804 (1986).
44. B. E. Rittmann, "Aerobic biological treatment", Environ. Sci. Technol. 21, 128-136.
45. E. Gonenc and P. Harremoes, "Nitrification in rotating disc systems - II criteria for simultaneous mineralization and nitrification", Wat. Res. 24, 499-505 (1990).
46. G. H. Chen, H. Ozaki and Y. Terashima, "Modeling of the simultaneous removal of organic substances and nitrogen in a biofilm", Wat. Sci. Tech. 24, 791-801 (1989).
47. S. A. Beg, R. H. Siddiqi and S. Ilias, "Inhibition of nitrification by arsenic, chromium and fluoride", Journal WPCF. 54, 482-492 (1982).
48. th Purdue Industrial Waste Conf., Purdue University, IN, pp. 826-835 (1980).
49. S. A. Beg and M. Atiqullah, "Interactions of non-competitive inhibitors on nitrification process", Journal WPCF. 55, 1080-1090 (1983).
50. S. A. Beg and M. Atiqullah, "Synergism and antagonism or arsenic, chromium and fluoride on nitrification process", J. Envir. Sci. Health Part A: Envir. Sci. Eng. A18, 633-645 (1983).
51. S. A. Beg and M. M. Hassan, "Nitrification studies in bubble aerated packed bed reactor", J. Envir. Sci. Health. Part A: Envir. Sci. Eng. A20, 315-327 (1985).
52. S. A. Beg and M. M. Hassan, "Effect of inhibitors on nitrification in packed-bed biological flow reactor", Wat. Res. 21, 191-99 (1987).
53. S. A. Beg and M. M. Hassam, "A biofilm model for packed bed reactors considering diffusional resistances and effects of backmixing", Chem. Eng. J. 30, B1-B8 (1985).
54. M. M. Hassan and S. A. Beg, "Theroretical analysis of Packed Bed Biological Reactor for various reaction kinetics", Chem. Eng. J. 36, B15-B27 (1987).
55. M. Atiqullah, M. M. Hassan and S. A. Beg, "Modeling of axial and recycle back mixing effects in a biological packed bed loop reactor", Chem. Eng. J. 44, B57-B67 (1990).
56. S. A. Beg, M. M. Hassan and M. A. S. Chaudhry, "Multi-substrate Analysis of Carbon Oxidation and Nitrification in an upflow Packed Bed Biofilm Reactor", J. Chem. Tech. Biotech. 64, 367-378 (1995).
57. S. A. Beg, M. M. Hassan and M. A. S. Chaudhry, "Effect of Sinusoidal Variation of Feed Concentration and Temperature on the Performance of Packed Bed Biological Reactor- A Theoretical Study", Chem. Eng. Tech. 19, 43-49 (1995).
58. S. A. Beg, M. M. Hassan and M. A. S. Chaudhry, "Response of Packed Bed Biological Reactor to perturbation of Feed Concentration and Temperature", Int. J. Environ. Studies 49, 31-52 (1995).
59. E. V. Munch, P. Lant and J. Keller, "Simultaneous nitrification and denitrification in bench-scale sequencing batch reactors", Wat. Res. 30, 2777-284 (1996).
60. B. E. Rittmann and W. E. Langeland, "Simultaneous denitrification with nitrification in single-channel oxidation ditches", Jorunal WPCF. 57, 300-308 (1985).
61. K. Moriyama, K. Sato, Y. Harada, K. Washiyama and K. Okamoto, "Simultaneous biological removal of nitrogen and phosphorous using oxicanaerobic-oxic process", Wat. Sci. Tech. 22, 61-66 (1990).
62. S. Masuda, Y. Watanabe and M. Ishiguro, "Biofilm properties and simultaneous nitrification and denitrification in aerobic rotating biological contractors", Wat. Sci. Tech. 23, 1355-63 (1991).
63. st International Conf. Fixed-film Biological Processes (Eds, Y. C. Wu, Ed. D. Smith, R. D. Miller, and E. J. Opatken) Kings Island, Ohio, pp. 802-822 (1982).
64. Y. Watanabe, S. Okabe, K. Hirata and S. Masuda, "Simultaneous removal of organic materials and nitrogen by micro-aerobic biofilms", Wat. Sci. Tech. 31, 195-203 (1995).
65. E. Kokufuta, M. Shimohashi and I. Nakamura, "Simultaneously occurring nitrification and denitrification under oxygen gradient by polyelectrolyte complex-co-immobilized Nitrosomonas europaea and Paracoccus denitrificans cells", Biotech. Bioeng. 31, 382-384 (1988).
66. B. Halling-Sorensen and H. Hjuler, "Simultaneous nitrification and denitrification with an upflow fixed bed reactor appling clinoptilolite as media", Wat. Treat. 7, 77-88 (1992).
67. Y. Terashima, H. Ozaki and M. A. Hashim, "Experimental and simulation studies on intermittent aeration in an oxidation ditch", J. Chem. Tech. Biotech. 48, 393-404 (1990).
68. K. Ho, "Biological nutrient removal in activated sludge processes with low F/M, sludge bulking control", Ph.D. Thesis (University of Queensland, Australia, 1994).
69. R. Knowles, "Denitrification", Microbiol. Reviews 46, 43-65 (1982).
70. G. M. Dunn, et. al. "Influence of oxygen tension on nitrate reduction by a Klebsilla sp. Growing in chemostat culture", J. Gen. Microbiol. 112, 379-382 (1979).
71. rd Ed. (Prentice Hall, Englewood Cliffs, New Jersey, 1970).
72. L. M. Nelson and R. Konwles, "Effect of oxygen and nitrate on nitrogen fixation and denitrification by Azospirillum brasilence grown in continuous culture", Cab. J. Microbiol. 24, 1395-1404 (1978).
73. J. M. Krul and R. Veeningen, "The syntheses of the dissimilatory nitrate reductase under aerobic conditions in a number of denitrifying bacteria isolated from activated sludge and drinking water", Wat. Res. 11, 397-48 (1977).
74. B. Batchelor, "Kinetic analysis of alternate configurations for single-sludge nitrification/denitrification", Journal WPCF. 54, 1493-1504 (1982).
75. J. L. C. Jansen and J. C. Behrens, "Periodic parameter variation to a full scale treatment plant with alternating operation", Prog. Wat. Tech. 12, 521-533 (1980).
76. Y. Watanabe, H. E. Bravo and K. Nishidome, "Simulation of nitrification and its dynamics in a rotating biological contactor", Wat. Sci. Tech. 14 (8), 811-832 (1982).
77. Y. Watanabe, S. Masuda, K. Nishidome and C. Wantawin, "Mathematical model of simultaneous organic oxidation, nitrification and denitrification in rotating biological contactors", Wat. Sci. Tech. 17, 385-397 (1985).
78. Y. Watanabe, S. Masuda and M. Ishiguro, "Simultaneous nitrification and denitrification in micro-aerobic biofilms", Wat. Sci. Tech. 26, 511-522 (1992).
79. G. W. Miller and R. G. Rice, "European water treatment practices - the promise of biological activated carbon", Civil Engrg. 48, 81-87 (1978).
80. G. E. Speitel and X. J. Zhu, "Sensitivity analyses of biodegradation/adsorption models", J. Envir. Eng. 116, 32-48 (1990).
81. S-H. Kim and M. Pirbazari, "Bioactive adsorber model for industrial wastewater treatment ", J. Envir. Eng. 1235-1256 (1989).
82. J. R. Schultz and T. M. Keinath, "Powdered activated carbon treatment process mechanisms", Journal WPCF. 56, 143-1451 (1984).
83. J. G. den Blanken, "Microbial activity in activated carbon filters", J. Envir. Engrg. Div. ASCE. 104, 433-443 (1982).
84. W. Ying and W. J. Weber, Jr. "Bio-physiochemical adsorption model systems for wastewater treatment", J. Wat. Poll. Control Fed. 51, 2661-2677 (1979).
85. G. F. Andrews, "Bacterial growth in fluidized beds of activated carbon", Ph. D Dissertation (Syracuse University, Syracuse, N. Y., 1979).
86. G. F. Andrews and C. Tien, "Bacterial growth in adsorbent surfaces", AIChE Journal 27, 396-403 (1981).
87. W. J. Weber, Jr., C. B. Hopkins and J. BloomJr. "Physiochemical treatment of municipal wastewater", J. WPCF. 42, 83-101 (1970).
88. M. Eberhardt, S. Madsen and H. Sontheimer, Department of Chemistry Report No. 7 (Karlisruhe Univ., Federal Republic of Germany, 1979).
89. A. Benedek, "Simultaneous biodegradation and activated carbon adsorption" In: A Mechanistic Look in Activated Carbon Adsorption of Organics from the Aqueous Phase, 2 (McGuire, M. J. and I. H. Suffet, Eds)(Ann Arbor Science, 1980) pp. 273-302.
90. C. Tien, "Bacterial growth and adsorption in granular activated carbon columns" In: Activated Carbon Adsorption of Organics from the Aqueous Phase, 2 (M. J. McGuire and I. H. Suffet, Eds) (Ann Arbor Science, 1980) pp. 303-322.
91. R. G. Rice and C. M. Robson, "Biological Activated Carbon: Enhanced Biological Activity " In: GAC Systems (Ann Arbor Science, Ann Arbor, Michigan, USA, 1982). pp. 19-72.
92. W. J. Weber, L. D. Fredman and R. Bloom, "Biologically extended physiochemical treatment", In: Advances in Water Pollution Research, Proc. 6th International Conference, Jerusalem, S. H. Jenkins, Ed.) (Pergamon Press, Oxford, 1972).
93. C. A. Rodman and E. L. Shunney, "Bioregenerated activated carbon treatment of a textile dye wastewater", E. P. A. Water Pollution Control Research Series, DWM (1971).
94. E. J. Bouwer and P. L. McCarty, "The removal of trace organics in a laboratory scale column with granular activated carbon and fixed film bacteria", AIChE Animal Meeting, New Orleans, pp. 35-46 (1981).
95. H. T. Chang and B. E. Rittmann, "Mathematical modeling of biofilm on activated carbon", Envir. Sci. Tech. 21, 273-280 (1987).
96. P. A. Jennings, "A mathematical model for biological activity in expanded bed adsorption columns", Ph.D Thesis (University of Illinois at Urbana-Champaign, Illinois, 1975).
97. J. C. Crittenden and W. J. Weber, Jr. "Predictive model for design of fixed-bed adsorbers: Single component model verification", J. Envir. Eng. Div. ASCE. 104, 433-443 (1985).
98. R. Peel and A. Benedek, "The modeling of activated carbon adsorbers in the presence of bio-oxidation", AIChE Symp. Series 73 25-35 (1975).
99. G. E. Speitel, Jr., K. Dovantzis and F. A. DiGiano, "Mathematical modeling of bioregeneration in GAC columns", J. Envir. Engrg. ASCE., 113, 32-48 (1985).
100. G. F. Andrews and C. Tien, "The interaction of bacterial growth, Adsorption and filteration in carbon columns treating liquid wastes", AIChE Symp. Ser. (water) pp. 164-180 (1974).
101. S-C. P. Wang and C. Tien, "Bi-Layer film model for the interaction between adsorption and bacterial activity in granular activated carbon columns, Part I: Formulation of equations and their solution", AIChE Journal 30, 786-794 (1984).
102. G. Martin, A-Y. LeRoux and P. Schulhof, "A mthematical model of biological purification in aerated activated carbon biofilters", Wat. Sci. Tech. 14, 599-618 (1982).
103. G. F. Nakhla and M. T. Suidan, "Modeling of toxic wastewater treatment by expanded-bed anaerobic GAC reactors", J. Envir. Eng. 118, 495-512 (1992).
104. D. W. Holladay, C. W. Hancher, C. D. Scott and D. D. Chilcote, "Biodegradation of phenolic waste liquors in stirred-tank, packed-bed and fluidized-bed bioreactors", J. Wat. Poll. Control Fed. 50, 2573-2589 (1978).
105. D. D. Lee, C. D. Scott and C. W. Handcher, "Fluidized-bed bioreactor for coal conversion effluents", J. Wat. Poll. Control Fed. 51, 974-984 (1979).
106. W.-T. Tang, K. Wisecarver and L.-S. Fan, "Dynamics of a draft tube gas-liquid-solid fluidized bed bioreactor for phenol degradation", Chem. Eng. Sci. 42, 2123-2134 (1987).
107. U. K. Traegner and M. T. Suidan, (July 1990). "Dynamic modeling of multispecies anaerobic biofilms grown on granular activated carbon", Proc. 1990 Specialty Conf. Environ. Eng. A. S. C. E. pp. 196-204.
108. R. J. de Jonge, A. M. Breure and J. G. van Andel, "Bioregneration of powdered activated carbon (PAC) loaded with aromatic compounds", Wat. Res. 30, 875-882 (1996).
109. C. A. Rodman, E. L. Shunney and A. E. Perrotti, "Biological regeneration of activated carbon", In: Carbon Adsorption Handbook Ed. P. N. Cheremisionoff and F. Ellerbursch) (Ann Arbor Science, Ann Arbor, Mich. 1978) pp. 71-85.
110. W. J. Weber Jr. and W. C. Ying, "Integrated biological and physichmical treatment for reclamation of waste water. Proc. International Assoc. Water Poll. Research, Johannesburg, South Africa (1977).
111. A. E. Perrotti and C. A. Rodman, "Factors involved with biological regeneration of activated carbon", AIChE Symp. Series (Water) 144, 316-325 (1974).
112. Z. Xiaojian, W. Zhansheng and G. U. Xiasheng, "Simple combination of biodegradation and carbon adsorption - The mechanism of the biological activated carbon process" Wat. Res. 25, 165-172 (1991).
113. G. E. Speitel Jr., C.-J Lu, X. J. Zhu and M. H. Turakhia, "Biodegradation and adsorption of a bi-solute mixture in GAC columns", J. WPCF. 61, 221-229 (1989).