Microbiology and Biotechnology Letters (한국미생물·생명공학회지)

The Korean Society for Microbiology and Biotechnology (한국미생물·생명공학회)
권호 표지

Optimization of Fermentation Processes with Singular Approximation and Minimum Principle

Singular Approximation과 Minimum Principle을 이용한 발효공정의 최적화

  • Published : 1999.06.01
Download PDF
⟨ Previous Next ⟩

Abstract

The two optimal control algorithms, singular approximation and minimum principle, were compared in this paper. The switching time with singular approximation was determined with mathematical derivation and the optimal control profile of specific growth rate was also calculated with minimum principle. The optimal control profiles were calculated by making simple model correlating the specific cell growth rate and specific product formation rate. The optimal control profiles calculated by singular approximation approach were similar to stepwise form of those calculatd by minimum principles. With the minimum principle, the product concentration was 8% more than that of singular approximation. This performance difference was due to a linearization of a nonlinear function with singular approximation. This optimal approaches were applicable to any system with different optimal cell growth and product formation.

Keywords

References

  1. Appl. Biochem. Biotechnol. v.51 Optimization for a recombinant E. Coli fed-batch fermentation Chen, Q.;W.E. Bentley;W.A. Weigand
  2. Biotechnol. Bioeng. v.29 Controlled expreesion and purification of human immune interferon from highcell-density fermentation of S. cerevisiae Fiesco, J.C.;K.M. Egan;T. Ritch;R.A. Koski;M. Johes;G.A. Bitter
  3. Biotechnol. Progress v.6 Optimal temperature control policy for a two-stage recombinant fermentation process Hortacsu, A.;D.D.Y. Ryu
  4. Biotechnol. Bioeng. v.43 Production of PHB by fedbatch culture of Alcaligenes eutrophus with glucose concentration control Kim, B.S.;S.C. Lee;S.Y. Lee;H.N. Chang;Y.K. Chang;S.I. Woo
  5. Biotechnol. Lett. v.15 Optimization of two-stage continuous ethanol fermentation using floccilating yeast Kuriyama, H.;H. Ishibashi;H. Miyagawa;H. Kobayashi;E. Mikami
  6. Biotechnol. Bioeng. v.37 Optimal nonsingular control of fedbatch fermentation Kurtanjek, Z.
  7. Biotechnol. Bioeng. v.28 Computational algorithms for optimal feed rates for a class of fed-batch fermentation:Numerical results for penicillin and cell mass production Lim, H.C.;Y.J. Tayeb;J.M. Modak;P. Bonte
  8. The Mathematical Theory of Optimal Processes Pontryagin, L.S.;V.G. Boltyanskii;R.V. Gamkrelidze;E.F. Mishchenko;D. C. Brown(translated)
  9. Biotechnol. Bioeng. v.35 Optimum pH and temperature conditions for xylose fermentation by Pichia stipitis Slininger, P.J.;R.J. Bothast;M.R. Ladisch;M. R. Okos