Exploration and exploitation of bifurcation/chaotic behavior of a continuous fermentor for the production of ethanol

Chemical Engineering Science - Tập 58 - Trang 1479-1496 - 2003
Parag Garhyan1, S.S.E.H. Elnashaie1, S.M. Al-Haddad2, G. Ibrahim3, S.S. Elshishini4
1Chemical Engineering Department, Auburn University, Auburn, AL 36849, USA
2Hyprotech, 11, Rd #315, New Maadi, Cairo, Egypt
3Faculty of Engineering, Menofia University, Shebeen-Elkom, Egypt
4Chemical Engineering Department, Cairo University, Cairo, Egypt

Tài liệu tham khảo

Ajbar, 2001, Stabilization of chaotic behavior in a two-phase autocatalytic reactor, Chaos, Solitons and Fractals, 12, 903, 10.1016/S0960-0779(00)00054-0 Andersen, 2001, Metabolic oscillations in an E. coli fermentation, Biotechnology and Bioengineering, 75, 212, 10.1002/bit.10018 Aris, 1958, An analysis of chemical reactor stability and control, Parts I–III, Chemical Engineering Science, 7, 121, 10.1016/0009-2509(58)80019-6 Bailey, 1998, Mathematical modeling and analysis in biochemical engineering, Chemical Engineering Communications, 13, 111 Bailey, 1977 Balakotaiah, 1981, Analysis of multiplicity patterns of a CSTR, Chemical Engineering Communications, 13, 111, 10.1080/00986448108910900 Balakotaiah, 1983, Multiplicity criteria for multiple-reaction networks, AIChE Journal, 29, 552, 10.1002/aic.690290406 Balakotaiah, 1983, Multiplicity features of reacting systems, Chemical Engineering Science, 38, 1709, 10.1016/0009-2509(83)85028-3 Borzani, 2001, Variation of ethanol yield during oscillatory concentrations changes in undisturbed continuous ethanol fermentation of sugar-can blackstrap mollases, World Journal of Microbiology and Biotechnology, 17, 253, 10.1023/A:1016606917882 Daugulis, 1997, Experimental investigation and modeling of oscillatory behavior in the continuous culture of Zymomonas mobilis, Biotechnology and Bioengineering, 56, 99, 10.1002/(SICI)1097-0290(19971005)56:1<99::AID-BIT11>3.0.CO;2-5 Davey, 1996, Oscillatory, stochastic and chaotic growth rate fluctuations in permittistatically controlled yeast cultures, Biosystems, 39, 43, 10.1016/0303-2647(95)01577-9 Doedel, E. J., Champneys, A. R., Fairgrieve, T. F., Kuznetsov, Y. A., Sandstede, B., & Wang, X. J. (1997). AUTO97: Continuation and bifurcation software for ordinary differential equations. Department of Computer Science, Concordia University, Montreal, Canada. Douglas, J. M. (1972). Process dynamics and control, Vol. 2. control system synthesis. Englewood Cliffs, NJ, USA: Prentice-Hall. Elnashaie, 1977, Multiplicity of the steady state in fluidized bed reactors. III—yield of consecutive reaction, A → B → C, Chemical Engineering Science, 32, 295, 10.1016/0009-2509(77)80208-X Elnashaie, 1980, Multiplicity of the steady state in fluidized bed reactors. V—the effect of catalyst decay, Chemical Engineering Science, 35, 1357, 10.1016/0009-2509(80)85129-3 Elnashaie, 1996 Elnashaie, 1991, A distributed parameter diffusion-reaction model for the alcoholic fermentation process, Applied Biochemistry and Biotechnology, 30, 339, 10.1007/BF02922037 Elnashaie, 1973, Multiplicity of the steady state in fluidized bed reactors. I—steady state considerations, Chemical Engineering Science, 28, 515, 10.1016/0009-2509(73)80048-X Epstein, 1998 Feigenbaum, 1980, Universal behaviour in nonlinear systems, Los Alamos Science, 1, 4 Fieschko, 1983, Effects of temperature and ethanol concentration on the maintenance and yield coefficient of Zymomonas mobilis, Biotechnology and Bioengineering, 25, 1655, 10.1002/bit.260250618 Ghommidh, 1989, Oscillatory behavior of Zymomonas mobilis in continuous cultures, Biotechnology Letters, 2, 659, 10.1007/BF01025278 Golubitsky, M., & Schaeffer, D. G. (1985). Singularities and bifurcation theory, Vol. I. Applied Mathematical Science, Vol. V. Berlin: Springer. Gray, 1984, Autocatalytic reactions in the isothermal continuous stirred tank reactor, Chemical Engineering Science, 39, 1087, 10.1016/0009-2509(84)87017-7 Gray, 1994 Hlavacek, 1981, Current problems of multiplicity, stability and sensitivity in chemically reactive systems, Chemical Engineering Science, 36, 1587, 10.1016/0009-2509(81)80002-4 Ipsen, 2000, Dynamical properties of chemical systems near Hopf bifurcation points, Chaos, 10, 791, 10.1063/1.1311980 Jarzebski, 1992, Modeling of oscillatory behavior in continuous ethanol fermentation, Biotechnology Letters, 14, 137, 10.1007/BF01026241 Jobses, I. M. L. (1986a). Modeling of anaerobic microbial fermentations: The production of alcohols by Zymomonas mobilis and Clostridium beijerincki. Ph.D. thesis, Delft University, Delft, Holland. Jobses, 1985, Mathematical modeling of growth and substrate conversion of Zymomonas mobilis at 30 and 35°C, Biotechnology and Bioengineering, 27, 984, 10.1002/bit.260270709 Jobses, 1986, Fermentation kinetics of Zymomonas mobilis at high ethanol concentrations, Biotechnology and Bioengineering, 28, 868, 10.1002/bit.260280614 Kaeppeli, 1985, The respirative breakdown of glucose by Saccharomyces cerevisiae, Journal of General Microbiology, 131, 1411 Keener, 1981, Infinite period bifurcation and global bifurcation branches, Journal of Applied Mathematics, 41, 127 Kubaiecek, 1983 Kurano, 1984, Oscillation of filamentous bacterium Sphaerotilus sp. in continuous culture, Journal of Fermentation Technology, 62, 395 Lee, 1981, The effect of temperature on the kinetics of ethanol production by strains of Zymomonas mobilis, Biotechnology Letters, 3, 291, 10.1007/BF00127397 Liljernoth, 1919, Starting and stability phenomenon of ammonia oxidation and similar reactions, Chemical Metallurgical Engineering, 19, 287 Lynch, 1993, Chaotic behavior of reaction systems, Chemical Engineering Science, 48, 2103, 10.1016/0009-2509(93)80085-5 McLellan, 1999, The incidence of oscillatory behavior in the continuous fermentation of Zymomonas mobilis, Biotechnology Progress, 15, 667, 10.1021/bp990070d Melo, 2001, Periodic oscillations in continuous free-radical solution polymerization reactors—a general approach, Chemical Engineering Science, 56, 3469, 10.1016/S0009-2509(01)00023-9 Neubauer, 1995, Influence of substrate oscillations on acetate formation and growth yield in Escherichia coli glucose limited fed-batch cultivations, Biotechnology and Bioengineering, 47, 139, 10.1002/bit.260470204 Pirt, 1965, The maintenance energy of bacteria in growing cultures, Proceedings of the Royal Society of London, Series B: Biological Sciences, 163, 224, 10.1098/rspb.1965.0069 Ray, W. H. (1977). Bifurcation phenomena in chemically reacting systems. In P. H. Rabinowiz (Ed.), Applications of bifurcation theory, New York: Academic Press, pp. 285–315. Roels, 1983 Tamura, 1999, Mechanism for taming chaos by weak harmonic perturbations, Physical Review Letters, 83, 3824, 10.1103/PhysRevLett.83.3824 Uppal, 1974, On the dynamic behavior of continuous stirred tank reactors, Chemical Engineering Science, 29, 967, 10.1016/0009-2509(74)80089-8 Uppal, 1976, The classification of the dynamic behavior of continuous stirred tank reactors, Chemical Engineering Science, 31, 205, 10.1016/0009-2509(76)85058-0 Wolf, 2001, Mathematical analysis of a mechanism for autonomous metabolic oscillations in continuous culture of Saccharomyces cerevisiae, FEBS Letters, 499, 230, 10.1016/S0014-5793(01)02562-5 Xiu, 1998, Multiplicity and stability analysis of microorganisms in continuous culture, Biotechnology and Bioengineering, 57, 251, 10.1002/(SICI)1097-0290(19980205)57:3<251::AID-BIT1>3.0.CO;2-G Zamamiri, 2001, Multiple steady states and hysteresis in continuous, oscillating cultures of budding yeast, Biotechnology and Bioengineering, 75, 305, 10.1002/bit.10038 Zhang, 2001, Bifurcation analysis of continuous biochemical reactor models, Biotechnology Progress, 17, 647, 10.1021/bp010048w