The Freter model: A simple model of biofilm formation |
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| Authors: | Don Jones Hristo V. Kojouharov Dung Le Hal Smith |
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| Affiliation: | (1) Department of Mathematics, Arizona State University, Tempe, AZ, 85287-1804;(2) Department of Mathematics, University of Texas at Arlington, Arlington, TX, 76019;(3) Division of Mathematics and Statistics, University of Texas at San Antonio, San Antonio, TX, 78249;(4) Department of Mathematics, Arizona State University, Tempe, AZ |
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| Abstract: | ![]()
A simple, conceptual model of biofilm formation, due to R. Freter et al. (1983), is studied analytically and numerically in both CSTR and PFR. Two steady state regimes are identified, namely, the complete washout of the microbes from the reactor and the successful colonization of both the wall and bulk fluid. One of these is stable for any particular set of parameter values and sharp and explicit conditions are given for the stability of each. The effects of adding an anti-microbial agent to the CSTR are examined.Supported by NSF Grant DMS 0107439 and UTA Grant REP 14748717Supported by NSF Grant DMS 0107160 |
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| Keywords: | Biofilm Fouling Continuously stirred tank reactor Plug flow reactor Modeling |
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