Dynamic behavior of double-substrate interactive model

Journal of the Chinese Institute of Chemical Engineers

Volumn 38, Issue 2, 2007, Pages 107-115

  Wu, Sheng Chi ^a   Shih, Shun Hsiung ^b   Liu, Hwai Shen ^b  

^a FOOYIN UNIVERSITY   (Taiwan)

^b NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

Double substrate; Dynamic behavior; Microbial growth; Modeling

Indexed keywords

COMPUTER SIMULATION; DYNAMICS; GROWTH KINETICS; SUBSTRATES;

DOUBLE-SUBSTRATE; INTERACTIVE MODEL; MICROBIAL GROWTH;

MICROBIOLOGY;

COMPUTER SIMULATION; DYNAMICS; GROWTH KINETICS; MICROBIOLOGY; SUBSTRATES;

EID: 38549097176     PISSN: 03681653     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcice.2006.08.001     Document Type: Article

References (30)

1. Agrawal, P., C. Lee, H. C. Lim, and D. Ramkrishna, "Theoretical Investigations of Dynamic Behavior of Isothermal Continuous Stirred Tank Biological Reactors," Chem. Eng. Sci., 37, 453 (1982).
2. Andrews, J. F., "A Mathematical Model for the Continuous Culture of Microorganisms Utilizing Inhibitory Substrate," Biotechnol. Bioeng., 10, 707 (1968).
3. Bader, F. G., "Analysis of Double-Substrate Limited Growth," Biotechnol. Bioeng., 20, 183 (1978).
4. Baltzis, B. C. and A. G. Fredrickson, "Limitation of Growth Rate by Two Complementary Nutrients: Some Elementary but Neglected Considerations," Biotechnol. Bioeng., 31, 75 (1988).
5. Boer, V. M., J. H. de Winde, J. T. Pronk, and M. D. W. Piper, "The Genome-Wide Transcriptional Responses of Saccharomyces cerevisiae Grown on Glucose in Aerobic Chemostat Cultures Limited for Carbon, Nitrogen, Phosphorus, or Sulfur," J. Biol. Chem., 278, 3265 (2003).
6. Borzani, W., R. E. Gregori, and M. L. R. Vairo, "Some Observations on Oscillatory Changes in the Growth Rate of Saccharomyces cerevisiae in Aerobic Continuous Undisturbed Culture," Biotechnol. Bioeng., 19, 1363 (1977).
7. Chen, C. Y. and E. R. Christensen, "A Unified Theory for Microbial Growth under Multiple Nutrient Limitation," Water Res., 19, 791 (1985).
8. Court, J. R. and S. J. Pirt, "Carbon- and Nitrogen-Limited Growth of Pencillium chrysogenum in Fed Batch Culture: The Optimal Ammonium Ion Concentration for Penicillin Production," J. Chem. Technol. Biotechnol., 31, 235 (1981).
9. Crooke, P. S., C. J. Wei, and R. D. Tanner, "Effect of the Specific Growth Rate and Yield Expressions on the Existence of Oscillatory Behavior of a Continuous Fermentation Model," Chem. Eng. Commun., 6, 333 (1980).
10. Crooke, P. S. and R. D. Tanner, "Hopf Bifurcations for a Variable Yield Continuous Fermentation Model," Int. J. Eng. Sci., 20, 439 (1982).
11. Dhudati, P. S., D. Ramkrishna, M. C. Flickinger, and G. T. Tsao, "A Cybernetic View of Microbial Growth: Modeling of Cells as Optimal Strategists," Biotechnol. Bioeng., 27, 1 (1985).
12. Durner, R., M. Zinn, B. Witholt, and T. Egli, "Accumulation of Poly[(R)-3-Hydroxyalkanoates] in Pseudomonas oleovorans during Growth in Batch and Chemostat Culture with Different Carbon Sources," Biotechnol. Bioeng., 72, 278 (2001).
13. Essajee, C. K. and R. D. Tanner, "The Effect of Extracellular Variables on the Stability of the Continuous Baker's Yeast-Ethanol Fermentation Process," Process Biochem., 14, 16 (1979).
14. Finn, R. K. and R. E. Wilson, "Fermentation Process Control, Population Dynamics of a Continuous Propagator for Microorganisms," J. Agric. Food Chem., 2, 66 (1954).
15. Haas, C. N., "Unified Kinetic Treatment for Growth on Dual Nutrients," Biotechnol. Bioeng., 44, 154 (1994).
16. Harrison, D. E. F. and S. J. Pirt, "The Influence of Dissolved Oxygen Concentration on the Respiration and Glucose, Metabolism of Klebsiella aerogenes during Growth," J. Gen. Microbiol., 46, 193 (1967).
17. Jung, K., W. Hazenberg, M. Prieto, and B. Witholt, "Two-Stage Continuous Process Development for the Production of Medium-Chain-Length Poly(3-hydroxyalkanoates)," Biotechnol. Bioeng., 72, 19 (2001).
18. Kompala, D. S., D. Ramkrishna, and G. T. Tsao, "Cybernetic Modeling of Microbial Growth on Multiple Substrates," Biotechnol. Bioeng., 26, 1272 (1984).
19. Kompala, D. S., D. Rarakrishna, N. B. Jansen, and G. T. Tsao, "Investigation of Bacterial Growth on Mixed Substrates: Experimental Evaluation of Cybernetic Models," Biotechnol. Bioeng., 28, 1044 (1986).
20. Leah, E. K., Mathematical Models in Biology, Random House, New York, U.S.A. (1988).
21. Lee, I. H., A. G. Fredrickson, and H. M. Tsuchiya, "Damped Oscillations in Continuous Culture of Lactobacillus plantarum," J. Gen. Microbiol., 93, 204 (1976).
22. Liu, H. S., S. S. Wang, and H. W. Hsu, "Double-Substrate Interactive Model," Chem. Eng. Sci., 48, 2169 (1993).
23. Machado, R. J. and C. P. L. Grady, Jr. "Dual Substrate Removal by an Axenic Bacterial Culture," Biotechnol. Bioeng., 33, 327 (1989).
24. MeGee, R. D., III J. F. Drake, A. G. Fredrickson, and H. M. Tsuchiya, "Studies in Intermicrobial Symbiosis. Saccharomyces cerevisiae and Lactobacillus casei," Can. J. Microbiol., 18, 1733 (1972).
25. Panikov, N., "Steady State Growth Kinetics of Chlorella Vulgaris under Double Substrate (Urea and Phosphate) Limitation," J. Chem. Technol. Biotechnol., 29, 442 (1979).
26. Pavlou, S. and A. G. Fredrickson, "Growth of Microbial Populations in Nonminimal Media: Some Considerations for Modeling," Biotechnol. Bioeng., 34, 971 (1989).
27. Verhulst, F., Nonlinear Differential Equations and Dynamical Systems, Springer, Berlin, Germany (1990).
28. Weusthuis, R. A., W. Visser, J. T. Pronk, W. A. Scheffers, and J. P. van Dijken, "Effects of Oxygen Limitation on Sugar Metabolism in Yeasts: A Continuous-Culture Study of the Kluyver Effect," Microbiology, 140, 703 (1994).
29. Zhu, L. and X. Huang, "Multiple Limit Cycles in a Continuous Culture Vessel," Nonlinear Anal., 64, 887 (2006).
30. Zinn, M., B. Witholt, and T. Egli, "Dual Nutrient Limited Growth: Models, Experimental Observations, and Applications," J. Biotechnol., 113, 263 (2004).