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

Chemical Engineering Science

Volumn 58, Issue 8, 2003, Pages 1479-1496

  Garhyan, Parag ^a   Elnashaie, S S E H ^a   Al Haddad, S M ^b   Ibrahim, G ^c   Elshishini, S S ^d  

^a AUBURN UNIVERSITY   (United States)

^b Hyprotech   (Egypt)

^c Menoufia University   (Egypt)

^d CAIRO UNIVERSITY   (Egypt)

Author keywords

Bifurcation; Chaos; Dynamic simulation; Fermentation; Modeling; Non linear dynamics

Indexed keywords

COMPUTER SIMULATION; ETHANOL; FERMENTATION;

FERMENTORS;

CHEMICAL ENGINEERING;

BIFURCATION; ETHANOL; FERMENTATION; INDUSTRIAL APPLICATION; MODELING; PROCESSING TECHNIQUE;

EID: 0037391502     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0009-2509(02)00681-4     Document Type: Article

References (51)

1. Ajbar, A. (2001). Stabilization of chaotic behavior in a two-phase autocatalytic reactor. Chaos, Solitons and Fractals, 12(5), 903-918.
2. Andersen, Dana, C., Swartz, James, Ryll, Thomas, Lin, Norm, & Snedecor, Brad. (2001). Metabolic oscillations in an E. coli fermentation. Biotechnology and Bioengineering, 75(2), 212-218.
3. Aris, R., & Amundson, N. R. (1958). An analysis of chemical reactor stability and control, Parts I-III. Chemical Engineering Science, 7(3), 121-155.
4. Bailey, J. E. (1998). Mathematical modeling and analysis in biochemical engineering: Past accomplishments and future opportunities. Chemical Engineering Communications, 13(1-3), 111-132.
5. Bailey, J. E., & Ollis, D. R. (1977). Biochemical engineering fundamentals. New York: McGraw Hill.
6. Balakotaiah, V., & Luss, D. (1981). Analysis of multiplicity patterns of a CSTR. Chemical Engineering Communications, 13(1-3), 111-132.
7. Balakotaiah, V., & Luss, D. (1983a). Multiplicity criteria for multiple-reaction networks. AIChE Journal, 29(4), 552-560.
8. Balakotaiah, V., & Luss, D. (1983b). Multiplicity features of reacting systems. Chemical Engineering Science, 38(10), 1709-1721.
9. Borzani, W. (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(3), 253-258.
10. Daugulis, A. J., McLellan, P. J., & Li, J. (1997). Experimental investigation and modeling of oscillatory behavior in the continuous culture of Zymomonas mobilis. Biotechnology and Bioengineering, 56(1), 99-105.
11. Davey, H. M., Davey, C. L., Woodward, A. M., Edmonds, A. N., Lee, A. W., & Kell, D. B. (1996). Oscillatory, stochastic and chaotic growth rate fluctuations in permittistatically controlled yeast cultures. Biosystems, 39(1), 43-61.
12. 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.
13. Douglas, J. M. (1972). Process dynamics and control, Vol. 2. control system synthesis. Englewood Cliffs, NJ, USA: Prentice-Hall.
14. Elnashaie, S. S. (1977). Multiplicity of the steady state in fluidized bed reactors. III-yield of consecutive reaction, A → B → C. Chemical Engineering Science, 32(3), 295-301.
15. Elnashaie, S. S., & El-Bialy, S. (1980). Multiplicity of the steady state in fluidized bed reactors. V-the effect of catalyst decay. Chemical Engineering Science, 35(6), 1357-1368.
16. Elnashaie, S. S., & Elshishini, S. S. (1996). Dynamic modeling, bifurcation and chaotic behavior of gas-solid catalytic reactor. London, UK: Gordon and Breach Publishers.
17. Elnashaie, S. S., & Ibrahim, G. (1991). A distributed parameter diffusion-reaction model for the alcoholic fermentation process. Applied Biochemistry and Biotechnology, 30, 339-360.
18. Elnashaie, S. S., & Yates, J. G. (1973). Multiplicity of the steady state in fluidized bed reactors. I-steady state considerations. Chemical Engineering Science, 28(7), 515-520.
19. Epstein, I. R., & Pojman, J. A. (1998). An introduction to nonlinear chemical dynamics. New York: Oxford University Press.
20. Feigenbaum, M. J. (1980). Universal behaviour in nonlinear systems. Los Alamos Science, 1, 4-36.
21. Fieschko, J., & Humphrey, A. E. (1983). Effects of temperature and ethanol concentration on the maintenance and yield coefficient of Zymomonas mobilis. Biotechnology and Bioengineering, 25(6), 1655-1660.
22. Ghommidh, C., Vaija, J., Bolarinwa, S., & Navarro, J. M. (1989). Oscillatory behavior of Zymomonas mobilis in continuous cultures: A simple stochastic model. Biotechnology Letters, 2(9), 659-664.
23. Golubitsky, M., & Schaeffer, D. G. (1985). Singularities and bifurcation theory, Vol. I. Applied Mathematical Science, Vol. V. Berlin: Springer.
24. Gray, P., & Scott, S. K. (1984). Autocatalytic reactions in the isothermal continuous stirred tank reactor: Oscillations and instabilities in the system A + 2B → 3B; B → C. Chemical Engineering Science, 39(6), 1087-1097.
25. Gray, P., & Scott, S. K. (1994). Chemical oscillations and instabilities. Oxford: Clarendon Press.
26. Hlavacek, V., & Rompay, P. V. (1981). Current problems of multiplicity, stability and sensitivity in chemically reactive systems. Chemical Engineering Science, 36(10), 1587-1597.
27. Ipsen, M., & Schreiber, I. (2000). Dynamical properties of chemical systems near Hopf bifurcation points. Chaos, 10(4), 791-802.
28. Jarzebski, A. B. (1992). Modeling of oscillatory behavior in continuous ethanol fermentation. Biotechnology Letters, 14(2), 137-142.
29. 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.
30. Jobses, I. M., Egberts, G. T., Ballen, A. V., & Roels, J. A. (1985). Mathematical modeling of growth and substrate conversion of Zymomonas mobilis at 30 and 35°C. Biotechnology and Bioengineering, 27(7), 984-995.
31. Jobses, I. M., Egberts, G. T., Luyben, K. C., & Roels, J. A. (1986). Fermentation kinetics of Zymomonas mobilis at high ethanol concentrations: Oscillations in continuous cultures. Biotechnology and Bioengineering, 28(6), 868-877.
32. Kaeppeli, O., Arreguin, M., & Rieger, M. (1985). The respirative breakdown of glucose by Saccharomyces cerevisiae: An assessment of a physiological state. Journal of General Microbiology, 131(6), 1411-1416.
33. Keener, J. P. (1981). Infinite period bifurcation and global bifurcation branches. Journal of Applied Mathematics, 41, 127-144.
34. Kubaiecek, M., & Marek, M. (1983). Computational methods in bifurcation theory and dissipative structures. New York: Springer-Verlag.
35. Kurano, N., Kotera, S., Okazaki, M., & Miura, Y. (1984). Oscillation of filamentous bacterium Sphaerotilus sp. in continuous culture. Journal of Fermentation Technology, 62(5), 395-400.
36. Lee, K. J., Skotnicki, M. L., Tribe, D. E., & Rogers, P. L. (1981). The effect of temperature on the kinetics of ethanol production by strains of Zymomonas mobilis. Biotechnology Letters, 3(6), 291-296.
37. Liljernoth, F. G. (1919). Starting and stability phenomenon of ammonia oxidation and similar reactions. Chemical Metallurgical Engineering, 19, 287-291.
38. Lynch, D. T. (1993). Chaotic behavior of reaction systems: Consecutive quadratic/cubic autocatalysis via intermediates. Chemical Engineering Science, 48(11), 2103-2108.
39. McLellan, P. J., Daugulis, A. J., & Li, J. (1999). The incidence of oscillatory behavior in the continuous fermentation of Zymomonas mobilis. Biotechnology Progress, 15(4), 667-680.
40. Melo, P. A., Sampaio, J. G., Biscaisa, E. C., & Pinto, J. C. (2001). Periodic oscillations in continuous free-radical solution polymerization reactors-a general approach. Chemical Engineering Science, 56(11), 3469-3482.
41. Neubauer, P., Haeggstroem, L., & Enfors, S. O. (1995). Influence of substrate oscillations on acetate formation and growth yield in Escherichia coli glucose limited fed-batch cultivations. Biotechnology and Bioengineering, 47(2), 139-146.
42. Pirt, S. J. (1965). The maintenance energy of bacteria in growing cultures. Proceedings of the Royal Society of London, Series B: Biological Sciences, 163, 224-231.
43. 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.
44. Roels, J. A. (1983). Energetics and kinetics in biotechnology. Amsterdam: Elsevier Biomedical Press.
45. Tamura, T., Inaba, N., & Miyamichi, J. (1999). Mechanism for taming chaos by weak harmonic perturbations. Physical Review Letters, 83(19), 3824-3827.
46. Uppal, A., Ray, W. H., & Poore, A. B. (1974). On the dynamic behavior of continuous stirred tank reactors. Chemical Engineering Science, 29(4), 967-985.
47. Uppal, A., Ray, W. H., & Poore, A. B. (1976). The classification of the dynamic behavior of continuous stirred tank reactors. Chemical Engineering Science, 31(3), 205-214.
48. Wolf, J., Sohn, H. Y., Heinrich, R., & Kuriyama, H. (2001). Mathematical analysis of a mechanism for autonomous metabolic oscillations in continuous culture of Saccharomyces cerevisiae. FEBS Letters, 499(3), 230-234.
49. Xiu, Z. L., Zeng, A. P., & Deckwer, W. D. (1998). Multiplicity and stability analysis of microorganisms in continuous culture: Effects of metabolic overflow and growth inhibition. Biotechnology and Bioengineering, 57(3), 251-261.
50. Zamamiri, A. M., Birol, G., & Hjortso, M. A. (2001). Multiple steady states and hysteresis in continuous, oscillating cultures of budding yeast. Biotechnology and Bioengineering, 75(3), 305-312.
51. Zhang, Y., & Henson, M. A. (2001). Bifurcation analysis of continuous biochemical reactor models. Biotechnology Progress, 17(4), 647-660.