Theoretical Consideration of the Modified Haldane Model of the Substrate Inhibition in the Microbial Growth Processes

미생물 성장 공정에서의 기질 저해에 관한 modified Haldane 모델의 이론적 고찰

  • Hwang, Young-Bo (School of Material Science & Nano Chemical Engineering, Kunsan National University)
  • 황영보 (군산대학교 공과대학 신소재.나노화학공학부)
  • Received : 2008.01.09
  • Accepted : 2008.03.26
  • Published : 2008.06.10


This paper deals with the theoretical derivation of the modified Haldane model of the substrate inhibition in the microbial growth processes. Based on the biological concepts of substrate-receptor complex working mechanisms, a new microbial kinetics of N-fold multiplex substrate inhibition and its generalization has been considered theoretically, which is natural expansion of the simple substrate inhibition mechanism in the enzyme reaction. As a result, the modified Haldane model of the substrate inhibition turns out to be a well-designed four-parameter kinetic model with a biological constant of the total substrate inhibition concentration.


  1. A. Moser, Bioprocess technology, 197, Springer Verlag, New York (1988)
  2. G. Bastin and D. Dochain, On-line Estimation and Adaptive Control of Bioreactors, 37, Elsevier, New York (1990)
  3. V. H. Edwards, Biotechnol. Bioeng., 12, 679 (1970)
  4. J. F. Andrews, Biotechnol. Bioeng., 10, 707 (1968)
  5. J. A. Nelder and R. Mead, Computer J., 7, 308 (1964)
  6. R. Fletcher, Practical methods of optimization, vol.1, unconstrained optimization, John Wiley and Sons, New York (1980)
  7. R. Thatipamala, S. Rohani, and G. A. Hill, Biotechnol. Bioeng., 40, 289 (1992)
  8. P. Pilat and A. Prokop, Biotechnol. Bioeng., 17, 1717 (1975)
  9. K. Han and O. Levenspiel, Biotechnol. Bioeng., 40, 1435 (1988)
  10. M. Wayman and M. C. Tseng, Biotechnol. Bioeng., 18, 383 (1976)
  11. M. C. Tseng and M. Wayman, Can. J. Microbiol., 21, 994 (1975)
  12. P. V. Kokotovic and R. S. Rutman, Automation and Remote Contr., 26, 168 (1965)