TECHNICAL PAPERS
Sep 1, 1993

Modeling Substrate Transport into Biofilms: Role of Multiple Ions and pH Effects

Publication: Journal of Environmental Engineering
Volume 119, Issue 5

Abstract

Steady‐state substrate utilization in biofilms has traditionally been modeled by coupling Fickian diffusion with Monod reaction kinetics. An inherent assumption in most of the previous models was that the pH remains constant within the biofilm. Experiments have shown differences between the pH in the bulk solution and in the biofilm. Since the rate of substrate utilization in biological systems can be affected severely by changes in pH, recent models have tried to account for the pH variations within the biofilm. However, these models neglected ionic interactions during mass transport. A fundamental approach incorporating the effects of pH in any chemical or biological system involving diffusion with reaction is presented. The approach is applied to a steady‐state model of substrate utilization in carbon‐limited algal biofilms.

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References

1.
Beltrame, P., Beltrame, P. L., Carniti, P., and Guardione, D. (1988). “Inhibiting action of chlorophenols on biodegradation of phenol and its correlation with structural properties of inhibitors.” Biotechnol. and Bioengrg., 31(8), 821–828.
2.
Butler, J. N. (1982). Carbon dioxide equilibria and their applications. Addison‐Wesley Publishing Co., Inc., Reading, Mass.
3.
Christensen, B. E., and Characklis, W. G. (1990). “Physical and chemical properties of biofilms.” Biofilms, W. C. Characklis and K. C. Marshall, eds., John Wiley and Sons, Inc., New York, N.Y.
4.
Conway, B. E. (1981). Ionic hydration in chemistry and biophysics. Elsevier Scientific Publishing Co., New York, N.Y.
5.
Cussler, E. L. (1984). Diffusion: mass transfer in fluid systems. Cambridge University Press, Cambridge, England.
6.
Ferziger, J. H. (1981). Numerical methods for engineering application. John Wiley & Sons, New York, N.Y.
7.
Goldman, J. C. (1979). “Outdoor algal mass cultures. I: Applications.” Water Res.,13(1), 1–19.
8.
Gujer, W., and Wanner, O. (1990). “Modeling mixed population biofilms.” Biofilms, W. C. Characklis and K. C. Marshall, eds., John Wiley and Sons, Inc., New York, N.Y.
9.
IMSL contents document, Ver. 1.0. (1987). International Mathematical and Statistical Libraries, Houston, Tex.
10.
Lange's handbook of chemistry. (1973). 11th Ed., J. A. Dean, ed., McGraw‐Hill Book Co., Inc., New York, N.Y.
11.
Liehr, S. K., Eheart, J. W., and Suidan, M. T. (1988). “A modeling study of the effect of pH on carbon limited algal biofilms.” Water Res., 22(8), 1033–1041.
12.
Newman, J. S. (1991). Electrochemical systems, 2nd Ed. Prentice‐Hall, Inc., Englewood Cliffs, N.J.
13.
Novak, J. T., and Brune, D. E. (1985). “Inorganic carbon limited growth kinetics of some freshwater algae.” Water Res., 19(2), 215–225.
14.
Pinto, N. G., and Graham, E. E. (1986). “Evaluation of diffusivities in electrolyte solutions using Stefan‐Maxwell equations.” AIChE J., 32(2), 291–296.
15.
Pinto, N. G., and Graham, E. E. (1987). “Multicomponent diffusion in concentrated electrolyte solutions: effect of solvation.” AIChE J., 33(3), 436–443.
16.
Quinlan, A. V. (1984). “Prediction of the optimum pH for ammonia‐N oxidation by Nitrosomonas Europaea in well‐aerated natural and domestic‐waste waters.”Water Res., 18(5), 561–566.
17.
Rittmann, B. E., and McCarty, P. L. (1981). “Substrate flux into biofilms of any thickness.” J. Envir. Engrg. Div., ASCE, 107(4), 831–849.
18.
Robinson, R. A., and Stokes, R. H. (1959). Electrolyte solutions. Butterworth & Co., Ltd., London, England.
19.
Siegrist, H., and Gujer, W. (1985). “Mass transfer mechanisms in a heterotrophic biofilm.” Water Res., 19(11), 1369–1378.
20.
Siegrist, H., and Gujer, W. (1987). “Demonstration of mass transfer and pH effects in a nitrifying biofilm.” Water Res., 21(12), 1481–1487.
21.
Snoeyink, V. L., and Jenkins, D. (1980). Water Chemistry. John Wiley & Sons, Inc., New York, N.Y.
22.
Suidan, M. T., and Wang, Y‐T. (1985). “Unified analysis of biofilm kinetics.” J. Envir. Engrg., 111(5), 634–646.
23.
Suidan, M. T., Rittmann, B. E., and Traegner, U. K., (1987). “Criteria establishing biofilm kinetic types.” Water Res., 21(4), 491–498.
24.
Szwerinski, H., Arvin, E., and Harremoes, P. (1986). “pH decrease in nitrifying biofilms.” Water Res., 20(8), 971–976.
25.
Williamson, K., and McCarty, P. L. (1976). “A model of substrate utilization by bacterial films.” J. WPCF, 48(1), 9–24.
26.
Wuellner, A. M. (1988). “Anaerobic treatment of high strength industrial wastes containing chlorinated organic solvent,” MS thesis, University of Illinois, Urbana, Ill.

Information & Authors

Information

Published In

Go to Journal of Environmental Engineering
Journal of Environmental Engineering
Volume 119Issue 5September 1993
Pages: 908 - 930

History

Received: Feb 24, 1992
Published online: Sep 1, 1993
Published in print: Sep 1993

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Authors

Affiliations

Joseph R. V. Flora
Doctoral Student, Dept. of Civ. and Envir. Engrg., Univ. of Cincinnati, Cincinnati, OH 45221
Makram T. Suidan
Professor, Dept. of Civ. and Envir. Engrg., Univ. of Cincinnati, Cincinnati, OH
Pratim Biswas
Assoc. Prof., Dept. of Civ. and Envir. Engrg., Univ. of Cincinnati, Cincinnati, OH
Gregory D. Sayles
Biochemical Engr., Risk Reduction Engrg. Lab., U.S. EPA, Cincinnati, OH 45268

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