The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
Model of steady‐state‐biofilm kinetics
Abstract
A steady‐state biofilm is defined as one that has neither net growth nor decay over time. The model, developed for steady‐state‐biofilm kinetics with a single substrate, couples the flux of substrate into a biofilm to the mass (or thickness) of biofilm that would exist at steady‐state for a given bulk substrate concentration. Based on kinetic and energetic constraints, this model predicts for a single substrate that a steady‐state bulk concentration, Smin, exists below which a steady‐state biofilm cannot exist. Thus, in the absence of adsorption of bacteria from the bulk water and for substrate concentration below Smin, substrate flux and biofilm thickness are zero. Equations are provided for calculating the steady‐state substrate flux and biofilm thickness for S greater than Smin. An example is provided to demonstrate the use of the steadystate model.
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Cites
The Continuous Culture of Bacteria; a Theoretical and Experimental Study
Herbert, D., Elsworth, R., & Telling, R. C. (1956) · Journal of General Microbiology · doi:10.1099/00221287-14-3-601 · Cited by 1,010
James, A. (1972) · Marine Pollution Bulletin · doi:10.1016/0025-326x(72)90343-8 · Cited by 334
K.M. (1974) · Environmental Pollution (1970) · doi:10.1016/0013-9327(74)90023-8 · Cited by 297
Evaluation of steady‐state‐biofilm kinetics
Rittmann, B. E., & McCarty, P. L. (1980) · Biotechnology and Bioengineering · doi:10.1002/bit.260221111 · Cited by 224
Self-citationSubstrate Flux into Biofilms of any Thickness
Rittmann, B. E., & McCarty, P. L. (1981) · Journal of the Environmental Engineering Division · doi:10.1061/jeegav.0001202 · Cited by 175
Self-citationTransport-limited growth in the chemostat and its competitive inhibition; A theoretical treatment
van Uden, N. O. P. (1967) · Archives of Microbiology · doi:10.1007/bf00406675 · Cited by 67
Cited by
Novel biofiltration methods for the treatment of heavy metals from industrial wastewater
Srivastava, N. K., & Majumder, C. B. (2008) · Journal of Hazardous Materials · doi:10.1016/j.jhazmat.2007.09.101 · Cited by 795
Kinetics of anaerobic treatment: A critical review
Pavlostathis, S. G., & Giraldo‐Gomez, E. (1991) · Critical Reviews in Environmental Control · doi:10.1080/10643389109388424 · Cited by 675
Wanner, O., & Gujer, W. (1986) · Biotechnology and Bioengineering · doi:10.1002/bit.260280304 · Cited by 630
The effect of shear stress on biofilm loss rate
Rittman, B. E. (1982) · Biotechnology and Bioengineering · doi:10.1002/bit.260240219 · Cited by 371
Particle-Based Multidimensional Multispecies Biofilm Model
Picioreanu, C., Kreft, J.-U., & van Loosdrecht, M. C. M. (2004) · Applied and Environmental Microbiology · doi:10.1128/aem.70.5.3024-3040.2004 · Cited by 306
Metadata
- Authors
- Rittmann, B. E., & McCarty, P. L.
- Venue
- Biotechnology and Bioengineering
- Publisher
- Wiley
- Published
- 1980-11
- Volume
- 22
- Issue
- 11
- Pages
- 2343-2357
- ISSN
- 0006-3592 (ISSN-L)
- 1097-0290
- OpenAlex
- W4253814517
- Cited by
- 425
- References
- 6
- FWCI
- 1.74
- Type
- journal article
- Language
- en
- Open access
- closed
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