Continuum heterogeneous biofilm model-A simple and accurate method for effectiveness factor determination

Biotechnology and Bioengineering

Volumn 109, Issue 7, 2012, Pages 1779-1790

  Gonzo, Elio Emilio ^a   Wuertz, Stefan ^b,c,d   Rajal, Veronica B ^a,e  

^a UNIVERSIDAD NACIONAL DE SALTA   (Argentina)

^b NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^c NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^d Davis   (United States)

^e UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Biofilm model; Continuum heterogeneous biofilm; Effectiveness factor

Indexed keywords

ANALYTICAL APPROACH; ANALYTICAL EXPRESSIONS; BIOFILM ACTIVITY; BIOFILM DENSITY; BIOFILM MODELS; BIOFILM PROCESS; BIOFILM REACTORS; DIFFUSION LIMITATIONS; DIFFUSION RESISTANCE; DIFFUSION-REACTION EQUATION; EFFECTIVE DIFFUSIVITIES; EFFECTIVENESS FACTOR; EXTERNAL MASS TRANSFER; FIRST ORDER KINETICS; MATCHING TECHNIQUES; MONOD KINETIC; NUMERICAL TECHNIQUES; SCALE-UP; SUBSTRATE CONCENTRATIONS; SUBSTRATE UTILIZATION; TEST CASE; THIELE MODULUS;

DIFFUSION; KINETICS; PERTURBATION TECHNIQUES; REACTION RATES; SUBSTRATES;

BIOFILMS;

ANALYTIC METHOD; ANIMAL EXPERIMENT; ARTICLE; BIOFILM; BIOFILM REACTOR; CALCULATION; CHEMICAL REACTION; COMPUTER PROGRAM; CONCENTRATION (PARAMETERS); CONTINUUM HETEROGENEOUS BIOFILM; CONTROLLED STUDY; DENSITY; DIFFUSION; FACTORIAL DESIGN; FIRST ORDER KINETICS; GEOMETRY; KINETICS; KLEBSIELLA PNEUMONIAE; MICROORGANISM; MONOD KINETICS; NONHUMAN; PREDICTION; PSEUDOMONAS AERUGINOSA; PSEUDOMONAS FLUORESCENS; STEADY STATE; SURFACE PROPERTY;

BIOFILMS; BIOREACTORS; COMPUTER SIMULATION; DIFFUSION; KINETICS; MODELS, BIOLOGICAL;

EID: 84861191427     PISSN: 00063592     EISSN: 10970290     Source Type: Journal    
DOI: 10.1002/bit.24441     Document Type: Article

References (55)

1. Alpkvist E, Klapper I. 2007. A multidimensional multispecies continuum model for heterogeneous biofilm development. Bull Math Biol 69: 765-789.
2. Alpkvist E, Picioreanu C, van Loosdrecht MCM, Heyden A. 2006. Three-dimensional biofilm model with individual cells and continuum EPS matrix. Biotechnol Bioeng 94: 961-979.
3. Atkinson B, Davies IJ. 1974. The overall rate of substrate uptake (reaction) by microbial films. Part I. A biological rate equation. Trans Inst Chem Eng 52: 248-259.
4. Atkinson B, How SY. 1974. The overall rate of substrate uptake (reaction) by microbial films. Part II. Effect of concentration and thickness with microbial films. Trans Inst Chem Eng 52: 260-272.
5. Battin TJ, Sloan WT, Kjelleberg S, Daims H, Head IM, Curtis TP, Eberl L. 2007. Microbial landscapes: New paths to biofilm research. Nat Rev Microbiol 5: 76-81.
6. Beyenal H, Lewandowski Z. 2000. Combined effect of substrate concentration and flow velocity on effective diffusivity in biofilms. Water Res 34: 528-538.
7. Beyenal H, Lewandowski Z. 2002. Internal and external mass transfer in biofilms grown at various flow velocities. Biotechnol Prog 18: 55-61.
8. Beyenal H, Lewandowski Z. 2005. Modeling mass transport and microbial activity in stratified biofilm. Chem Eng Sci 60: 4337-4348.
9. Beyenal H, Tanyolaç A, Lewandowski Z. 1998. Measurement of local effective diffusivity in heterogeneous biofilms. Water Sci Technol 38(8-9): 171-178.
10. Bischoff K, Froment G. 1980. Chemical reactor analysis and design. New York: Wiley. xxx p.
11. Churchill SW. 1977. A generalized expression for the effectiveness factor of porous catalyst pellets. AIChE J 23: 208-212.
12. De Beer D, Stoodley P, Roe F, Lewandowski Z. 1994. Effects of biofilm structures on oxygen distribution and mass transport. Biotechnol Bioeng 43: 1131-1138.
13. Eberl HJ, Picioreanu C, Heijnen JJ, van Loosdrecht MSM. 2000. A three-dimensional numerical study on the correlation of spatial structure, hydrodynamic conditions, and mass transfer and conversion in biofilms. Chem Eng Sci 55: 6209-6222.
14. Fan LS, Leyva-Ramos R, Wisecarver KD, Zehner BJ. 1990. Diffusion of phenol through a biofilm grown on activated carbon particles in a draft-tube 3-phase fluidized-bed bioreactor. Biotechnol Bioeng 35: 279-286.
15. Gonzalez-Brambilla M, Lopez-Isunza F. 2008. Membrane-attached biofilm reactor behavior under different flow rate conditions in the treatment of a synthetic wastewater. Rev Mexicana de Ing Quim 7(3): 183-193.
16. Gonzo EE. 2008. Hydrogen from methanol-steam reforming. Isothermal and adiabatic monolith reactors' simulation. Int J Hydrogen Energy 33: 3511-3516.
17. Gonzo EE, Gottifredi JC. 2007. A simple and accurate method for simulation of hollow fiber biocatalyst membrane reactors. Biochem Eng J 37: 80-85.
18. Gonzo EE, Gottifredi JC. 2010. Heat and mass transfer limitations in monolith reactor simulation with non uniform washcoat thickness. Lat Am Appl Res 40: 15-21.
19. Gottifredi JC, Gonzo EE. 1986. Application of perturbation and matching techniques to solve transport phenomena problems. In: Mujumdar AS, Mashelkar RA, editors. Advances in transport processes, Vol. IV. New Delhi: Wiley Eastern Limited. p 419-464.
20. Gottifredi JC, Gonzo EE. 2005. On the effectiveness factor calculation for a reaction-diffusion process in a biocatalyst pellet. Biochem Eng J 24: 235-242.
21. Gottifredi JC, Gonzo EE, Quiroga OD. 1981. Isothermal effectiveness factor I. Analytical expression for single reaction with arbitrary kinetics. Slab geometry. Chem Eng Sci 36: 705-713.
22. Harremoes P. 1978. Biofilm kinetics. In: Mitchell R, editor. Water pollution microbiology, Vol. 2 New York: JohnWiley & Sons. p 71-109.
23. Kissel JC, McCarty PL, Street RL. 1984. Numerical simulation of mixed-culture biofilms. J Environ Eng 10: 393-411.
24. Kubicek M, Hlavacek E. 1983. Numerical solution of nonlinear boundary value problems with applications. Englewood Cliffs, New Jersey: Prentice-Hall, Inc. 321 p.
25. Lewandowski Z, Beyenal H. 2003. Mass transport in heterogeneous biofilm. In: Wuertz S, Bishop P, Wilderer P, editors. Biofilms in wastewater treatment. An interdisciplinary approach. London: IWA Publishing. p 147-177.
26. Manz B, Volke F, Goll D, Horn H. 2003. Measuring local flow velocities and biofilm structure in biofilm systems with magnetic resonance imaging (MRI). Biotechnol Bioeng 84: 424-432.
27. Neu TR, Lawrence JR. 1997. Development and structure of microbial biofilms in river water studies by confocal laser scanning microscopy. FEMS Microb Ecol 24: 11-25.
28. Noguera DR, Okabe S, Picoreanu C. 1999. Biofilm modeling: Present status and future directions. Water Sci Technol 39(7): 273-278.
29. O'Toole G, Kaplan, HB, Kolter R. 2000. Biofilm formation as microbial development. Ann Rev Microbiol 54: 49-79.
30. Pereira MO, Kuehn M, Wuertz S, Neu T, Melo LF. 2002. Effect of flow regime on the architecture of a Pseudomonas fluorescens biofilm. Biotechnol Bioeng 78: 164-171.
31. Perez J, Picioreaunu C, van Loosdrecht M. 2005. Modeling biofilm and floc diffusion processes based on analytical solution of reaction-diffusion equations. Water Res 39: 1311-1323.
32. Perez J, Picioreaunu C, van Loosdrecht M. 2006. Corrigendum to "Modeling biofilm and floc diffusion processes based on analytical solution of reaction-diffusion equations". [Water Res 39: 1311-1323]. Water Res 40: 2997-2998.
33. Picioreanu C, Kreft JU, van Loosdrecht MSM. 2004. Particle-based multidimensional multispecies biofilm model. Appl Environ Microbiol 70: 3024-3040.
34. Rama Rao K, Srinivasan T, Venkateswarlu Ch, 2010. Mathematical and kinetic modeling of biofilm reactor based on ant colony optimization. Process Biochem 45: 961-972.
35. Reichert P. 1998a. AQUASIM 2.0-User manual. Dübendorf, Switzerland: Swiss Federal Institute for Environmental Science and Technology (EAWAG).
36. Reichert P. 1998b. AQUASIM 2.0-Tutorial. Dübendorf, Switzerland: Swiss Federal Institute for Environmental Science and Technology (EAWAG).
37. Rittman BE, McCarthy PL. 1980. Model of steady-state biofilm kinetics. Biotechnol Bioeng 22: 2343-2357.
38. Rittman BE, McCarthy PL. 1981. Substrate flux into biofilms of any thickness. J Environ Eng 108: 831-849.
39. Rittman BE, McCarthy PL. 2001. Environmental biotechnology: Principles and applications. New York: McGraw Hill. 754 p.
40. Sáez PB, Rittmann BE. 1988. Accurate pseudoanalytical solution for steady-state biofilm. Biotechnol Bioeng 32: 379-385.
41. Sáez PB, Rittmann BE. 1992. Improved pseudoanalytical solution for steady-state biofilm kinetics. Biotechnol Bioeng 39: 790-793.
42. Saravanan, V, Sreekrishnan TR. 2006. Modelling anaerobic biofilm reactors-A review. J Environ Manag 81: 1-18.
43. van Loosdrecht MCM, Heijnen JJ, Eberl H, Kreft J, Picioreanu C. 2002. Mathematical modelling of biofilm structures. Anton Leeuwenhoek 81: 245-256.
44. Venugopalan VP, Kuehn M, Hausner M, Springael D, Wilderer PA, Wuertz S. 2005. Architecture of a nascent Sphingomonas sp. biofilm under varied hydrodynamic conditions. Appl Environ Microbiol 71: 2677-2686.
45. Villadsen J, Michelsen ML. 1978. Solution of differential equations model by polynomial approximation. Englewood Cliffs, New Jersey: Prentice-Hall, Inc.
46. von der Schulenburg DAG, Pintelon TRR, Picioreanu C, van Loosdrecht MCM, Johns ML, 2009. Three-dimensional simulations of biofilm growth in porous media. AIChE J 55: 494-504.
47. Wanner O, Gujer W. 1986. A multispecies biofilm model. Biotechnol Bioeng 28: 314-328.
48. Wanner O, Eberl H, Morgenroth E, Noguera D, Picioreanu C, Rittmann B, van Loosdrecht M. 2006. Mathematical modeling of biofilms. London: IWA Publishing. 179 p.
49. Wedel S, Luss D. 1980. A rational approximation of the effectiveness factor. Chem Eng Commun 7: 145-152.
50. Williamson K, Mac Carty PL. 1976a. A model of substrate utilization by bacterial films. J Water Pollut Control Fed 48(1): 9-24.
51. Williamson K, Mac Carty PL. 1976b. Verification studies of biofilm model for bacterial substrate utilization. J Water Pollut Control Fed 48: 281-296.
52. Wood B, Whitaker S. 1998. Diffusion and reaction in biofilms. Chem Eng Sci 53: 397-425.
53. Wuertz S, Falkentoft CM. 2003. Modeling and simulation: Introduction. In: Wuertz S, Bishop P, Wilderer P, editors. Biofilms in wastewater treatment. An interdisciplinary approach. London: IWA Publishing. p 3-7.
54. Wuertz S, Bishop P, Wilderer P. 2003. Biofilms in wastewater treatment. An interdisciplinary approach. London: IWA Publishing. 401 p.
55. Xavier JB, Picioreanu C, van Loosdrecht MSM. 2005. A framework for multidimensional modeling of activity and structure of multispecies biofilms. Environ Microbiol 8: 1085-1103.