The extended Kalman filter as a noise modulator for continuous yeast cultures under monotonic, oscillating and chaotic conditions

Chemical Engineering Journal

Volumn 108, Issue 1-2, 2005, Pages 91-99

  Patnaik, Pratap R ^a  

^a INSTITUTE OF MICROBIAL TECHNOLOGY   (India)

Author keywords

Chaos; Continuous culture; Extended Kalman filter; Inflow noise; Oscillations

Indexed keywords

ARTIFICIAL INTELLIGENCE; BIOREACTORS; CHAOS THEORY; LYAPUNOV METHODS; OSCILLATIONS; RANDOM PROCESSES; YEAST;

EXTENDED KALMAN FILTER (EKF); LYAPUNOV EXPONENTS; NOISE MODULATORS; NOISE-INDUCED CHAOS;

KALMAN FILTERING;

FILTER;

SACCHAROMYCES CEREVISIAE;

EID: 17144420102     PISSN: 13858947     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cej.2005.01.004     Document Type: Article

References (37)

1. M.L. Shuler, and F. Kargi Bioprocess Engineering. Basic Concepts 2002 Prentice-Hall New Jersey
2. G. Liden Understanding the bioreactor Bioproc. Biosyst. Eng. 24 2002 273 279
3. O. Nelles Nonlinear System Identification: From Classical Approaches to Neural Networks and Fuzzy Models 2000 Springer-Verlag New York
4. M.S. Grewal, and A.P. Andrews Kalman Filtering Theory and Practice 1993 Prentice-Hall New Jersey
5. L.F.M. Zorzetto, and A. Wilson Monitoring bioprocesses using hybrid models and an extended Kalman filter Comput. Chem. Eng. 20 1996 S689 S694
6. R. Neeleman, E.J. van den End, and A.J.B. Boxtel Estimation of respiratory coefficient in batch cell cultivation J. Biotechnol. 80 2000 85 95
7. R. Neeleman, and A.J.B. van Boxtel Estimation of specific growth rate from cell density measurements Bioproc. Biosyst. Eng. 24 2001 179 185
8. J.N. Zhang, and W.W. Su Estimation of intra-cellular phosphate content in plant cell cultures using extended Kalman filter J. Biosci. Bioeng. 96 2002 8 14
9. A. Vargas, G. Soto, J. Moreno, and G. Buitron Observer-based time-optimal control of an aerobic SBR for chemical and petrochemical waste treatment Water Sci. Technol. 42 2000 163 170
10. P.R. Patnaik Fractal characterization of the effect of noise on biological oscillations: the biosynthesis of ethanol Biotechnol. Tech. 8 1994 419 424
11. P.R. Patnaik Improvement of the microbial production of streptokinase by controlled filtering of inflow noise Process Biochem. 35 1999 309 315
12. S. Sinha Chaos in biology Curr. Sci. 73 1997 977 983
13. P.R. Patnaik Can imperfections help to improve bioreactor performance? Trends Biotechnol. 20 2002 135 137
14. P.R. Patnaik Spectral analysis of the effect of inflow noise on a fed-batch fermentation for recombinant β-galactosidase Bioprocess Eng. 17 1997 93 97
15. C.-I. Chen, and K.A. McDonald Oscillatory behavior of Saccharomyces cerevisiae in continuous culture, I and II Biotechnol. Prog. 36 1990 19 38
16. H.Y. Sohn, D.B. Murray, and H. Kuriyama Ultradian oscillation of Saccharomyces cerevisiae during aerobic continuous culture: hydrogen sulfide mediates population synchrony Yeast 16 2000 1185 1190
17. J. Wolf, H.Y. Sohn, R. Heinrich, and H. Kuriyama Mathematical analysis of a mechanism for autonomous metabolic oscillations in continuous cultures of Saccharomyces cerevisiae FEBS Lett. 499 2001 230 234
18. M. Beuse, R. Bartling, A. Kopmann, H. Diekmann, and M. Thoma Effect of dilution rate on the mode of oscillation in continuous cultures of Saccharomyces cerevisiae J. Biotechnol. 61 1998 15 31
19. L. Cazzador, L. Mariani, E. Martegani, and L. Alberghina Structured segregated models and analysis of self-oscillating yeast continuous cultures Bioprocess Eng. 5 1990 175 180
20. K.D. Jones, and D.S. Kompala Cybernetic model of the growth dynamics of Saccharomyces cerevisiae in batch and continuous cultures J. Biotechnol. 71 1999 105 131
21. P. Doshi, R. Rengaswamy, and K.V. Venkatesh Modelling of microbial growth for sequential utilization in a multi-substrate environment Process Biochem. 32 1997 643 650
22. J.V. Straight, and D. Ramakrishna Cybernetic modeling and regulation of metabolic pathways: growth on complementary nutrients Biotechnol. Prog. 10 1994 574 587
23. P.R. Patnaik How effective is an extended Kalman filter for continuous yeast cultures affected by both inflow and measurement noise? Curr. Sci. 86 2004 999 1007
24. A.D. Satroutdinov, H. Kuriyama, and H. Kobayashi Oscillatory metabolism of Saccharomyces cerevisiae in continuous culture FEMS Microbiol. Lett. 98 1992 261 268
25. G. Elert, The Chaos Hypertextbook, in: http://hypertextbook.com/chaos, 2000.
26. P.R. Patnaik, Application of the Lyapunov exponent to detect noise-induced chaos in oscillating yeast cultures, Chaos, Solitons Fractals (2005), in press.
27. F. Gillard, and C. Tragardh Modeling the performance of industrial bioreactors with a micro-environmental approach: a critical review Chem. Eng. Technol. 22 1999 187 195
28. G.A. Montague, and A.J. Morris Neural network contributions in biotechnology Trends Biotechnol. 12 1994 312 324
29. M. Rohner, and H.-P. Meyer Application of modelling for bioprocess design and control in industrial production Bioproc. Eng. 13 1995 69 78
30. G. Stephanopoulos, and S. Park Bioreactor state estimation K. Schugerl Biotechnology. Measuring, Modeling and Control vol. 4 1992 VCH Weinheim 225 249
31. G. Welch, G. Bishop, An introduction to the Kalman filter. http://www.cs.unc.edu/∼welch/media/pdf/kalman_intro.pdf, 2004.
32. A. Lubbert, and R. Simutis Using measurement data in bioprocess modelling and control Trends Biotechnol. 12 1994 304 311
33. P.R. Patnaik A Lyapunov comparison of noise-filtering methods for oscillating yeast cultures AIChE J. 50 2004 1640 1646
34. P. Duboc, I. Marison, and U. von Stochar Physiology of Saccharomyces cerevisiae during cell cycle oscillations J. Biotechnol. 51 1996 57 72
35. P.R. Patnaik On the performances of noise filters in the restoration of oscillatory behavior in continuous yeast cultures Biotechnol. Lett. 25 2003 681 685
36. L. Fisher C.E. Pearson Handbook of Applied Mathematics 1990 Van Nostrand New York (Chapter 21)
37. B.G. Turner, and D. Ramkrishna Revised enzyme synthesis rate expression in cybernetic models of bacterial growth Biotechnol. Bioeng. 31 1988 41 43