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Optimization of secondary metabolite production using singular approximation and minimum principle

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Abstract

Optimal control profiles as calculated with two control algorithms, singular approximation and minimum principle, are compared in this article. Switching points were determined using the singular approximation by mathematical calculation. The optimal growth rate was calculated using minimum principle. With an increased number of switching points, the calculated optimal control profiles approached the theoretical optimal control profile as calculated using the minimum principle. With three switching times, the product concentration approached 96% of the theoretical optimal control profile. From these results, optimal control can be achieved with more than a three-switching-point approximation.

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Abbreviations

H :

Hamiltonian

P :

product concentration (g/L)

t :

time (d)

t f :

final time (d)

V :

fermentor volume (L)

X :

cell concentration (g/L)

X 1 :

cell mass (g)

X 2 :

product (g)

λ:

adjoint vector

μ:

specific growth rate (1/d)

π:

specific production rate (1/d)

max:

maximum

References

  1. Lee, J. H., Lee, I. Y., Kim, M. K., and Park, Y. H. (1999), Ind. Microbiol. Biotechnol. 23, 143–148.

    Article  CAS  Google Scholar 

  2. Hortacsu, A. and Ryu, D. D. Y. (1990), Biotechnol. Prog. 6, 403–407.

    Article  CAS  Google Scholar 

  3. Fiesco, J. C., Egan, K. M., Ritch, T., Koski, R. A., Johes, M., and Bitter, G. A. (1987), Biotechnol. Bioeng. 29, 1113–1121.

    Article  Google Scholar 

  4. Chen, Q., Bentley, W. E., and Weigand, W. A. (1995), Appl. Biochem. Biotechnol. 51, 449–461.

    Article  Google Scholar 

  5. Kuriyama, H., Ishibashi, H., Miyagawa, H., Kobayashi, H., and Mikami, E. (1993), Biotechnol. Lett. 15, 415–420.

    Article  CAS  Google Scholar 

  6. Lim, H. C., Tayeb, Y. J., Modak, J. M., and Bonte, P. (1986), Biotechnol. Bioeng. 28, 1408–1420.

    Article  CAS  Google Scholar 

  7. Slininger, P. J., Bothast, R. J., Ladisch, M. R., and Okos, M. R. (1990), Biotechnol. Bioeng. 35, 727–731.

    Article  CAS  Google Scholar 

  8. Kim, B. S., Lee, S. C., Lee, S. Y., Chang, H. N., Chang, Y. K., and Woo, S. I. (1994), Biotechnol. Bioeng. 43, 892–898.

    Article  CAS  Google Scholar 

  9. Pontryagin, L. S., Boltyanskii, V. G., Gamkrelidze, R. V., and Mischenko, E. F. (1964), The Mathematical Theory of Optimal Processes, Brown, D. E., trans., Pergamon, New York.

    Google Scholar 

  10. Lee, J.-H. (1999), Appl. Biochem. Biotechnol. 80, 91–106.

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Chemical Engineering, Chosun University, 501-234, Donggu, Kwangju, Korea

    Jung-Heon Lee

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  1. Jung-Heon Lee
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Lee, JH. Optimization of secondary metabolite production using singular approximation and minimum principle. Appl Biochem Biotechnol 95, 113–124 (2001). https://doi.org/10.1385/ABAB:95:2:113

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  • DOI: https://doi.org/10.1385/ABAB:95:2:113

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