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Optimization and control in fed-batch bioreactors

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Modern Biochemical Engineering

Part of the book series: Advances in Biochemical Engineering/Biotechnology ((ABE,volume 46))

Abstract

A method for obtaining maximum production of the bioproduct in fed-batch cultures is explained, and its validity is demonstrated by experimental data. The approach is based on a model which describes the relationship between the specific production rate, ϱ. and specific growth rate, μ. Using a mathematical model, an optimal profile of the specific growth rate could then be obtained easily by the Maximum Principle. Finally, the optimal profile was realized by changing the feed rate of the substrate in a practical fed-batch culture. Practical examples of bioproduction, such as histidine, lysine, and glutathione, as well as production of an enzyme, showed that the two-stage production process could be realized experimentally, thus demonstrating the validity of the method.

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Abbreviations

a 1 :

model parameter in Eq. (7) (i=1, 2)

b 1 :

model parameter in Eq. (7) (i=1, 2)

E:

enzyme content of cells (U g−1)

F:

feed rate of substrate (l h−1)

F:

nominal feed rate of PF system (l h−1)

ΔF :

feed rate for compensation of disturbance (l h−1)

F NH3 :

ammonia feed rate per unit volume (mol l−1 h−1)

H:

Hamiltonian

L:

leucine concentration (g l−1)

p:

product content of cells (mg g−1)

P:

product concentration (histidine or lysine) (g l−1)

S:

substrate concentration (g l−1)

t:

time (h)

t c :

switching time from μ max to μ c in the optimal profile (h)

V:

working volume (l)

X:

cell concentration (g l−1)

Z:

cell mass (g)

ϕ:

slope of H with respect to μ

ψ:

defined in Eq. (10)

λ i :

adjoint variable (i=1, 2)

μ:

specific growth rate (h−1)

ν:

specific consumption rate (h−1)

ϱ:

specific production rate (h−1)

0:

at initial time

C:

critical or switching

E:

ethanol

f:

at final time

F:

feed

G:

glutathione

H:

histidine

max:

maximum

min:

minimum

opt:

optimal

References

  1. Porulekar SJ, Lim HC (1985) Modelling, optimization and control of semi-batch bioreactors. In: Fiechter A (ed) Advances in Biochemical Engineering, vol 32. Springer, Berlin Heidelberg New York, p 207

    Google Scholar 

  2. Modak JM, Lim HC. Tayeb YJ (1986) Biotechnol Bioeng 28: 1396

    Google Scholar 

  3. Lim HC, Tayeb YJ, Modak JM, Bonte P (1986) Biotechnol Bioeng 28: 1408

    Google Scholar 

  4. Yamane T, Shimizu S (1984) Fed-batch techniques in microbial processes. In: Fiechter A (ed) Advances in Biochemical Engineering, vol 30. Springer, Berlin Heidelberg New York p 145

    Google Scholar 

  5. Pontryagin LS, Boltyanskii VG, Gamkrelidze RV, Mischenko EF (1962) The mathematical theory of optimal processes (English translation by Trirogoff KN) Wiley-Interscience, New York

    Google Scholar 

  6. Aiba S, Nagai S, Nishizawa Y (1976) Biotechnol Bioeng 18: 1001

    Google Scholar 

  7. Dairaku K, Yamasaki Y, Kuku K, Shioya S, Takamatsu T (1981) Biotechnol Bioeng 23: 2069

    Google Scholar 

  8. Takamatsu T, Shioya S, Chikatani H, Dairaku K (1985) Chem Eng Science 40: 499

    Google Scholar 

  9. Takamatsu T, Shioya S, Okada Y, Kanda M (1985) Biotechnol Bioeng 27: 1675

    Google Scholar 

  10. Shimizu H, Shioya S, Suga K, Takamatsu T (1989) Appl Microbiol Biotechnol 30: 276

    Google Scholar 

  11. Shimizu H, Shioya S, Suga K, Takamatsu T (1989) Biotechnol Bioeng 33: 354

    Google Scholar 

  12. Dairaku K, Izumoto E, Morikawa H, Shioya S, Takamatsu T (1983) J of Ferm Technology 61: 189

    Google Scholar 

  13. Shioya S, Shimizu H, Ogata M, Takamatsu T (1985) Proc of 1st IFAC Symp on Modeling and Control of Biotechnological Processes, the Netherland, p 49

    Google Scholar 

  14. Jazwinski AH (1970) Stochastic processes and filtering theory. Academic Press, p 272

    Google Scholar 

  15. Stephanopoulos F, San KY (1984) Biotechnol Bioeng 26: 1176

    Google Scholar 

  16. Staniskis J, Simutis R (1986) Biotechnol Bioeng 28: 362

    Google Scholar 

  17. Caminal G, Laufente J, Lopez-Santin J, Poch M, Sola C (1987) Biotechnol Bioeng 29: 366

    Google Scholar 

  18. Nahilik J, Burianec Z (1988) Appl. Microbiol. Biotechnol. 28: 128

    Google Scholar 

  19. Wang HY, Coony CL, Wang DIC (1977) Biotechnol Bioeng 19: 69

    Google Scholar 

  20. Wang HY, Coony CL, Wang DIC (1979) Biotechnol Bioeng 21: 975

    Google Scholar 

  21. Montague GA, Morris AJ, Wright AR, Aynsley M, Ward A (1986) Canadian J of Chem Eng 64: 567

    Google Scholar 

  22. Grosz R, Stephanopoulos G, San KY (1984) Biotechnol Bioeng 26: 1198

    Google Scholar 

  23. Stephanopoulos G, San KY (1982) ACS Symposium Series 196: 155

    Google Scholar 

  24. Dochain D, Bastin G (1985) Proc of 1st IFAC Symp on Modeling and Control of Biotechnological Processes, the Netherlands, p 1

    Google Scholar 

  25. Chim-anage P, Shioya S, Suga K (1990) J Ferment Bioeng 70: 386

    Google Scholar 

  26. Chim-anage P, Shioya S, Suga K (1991) J Ferment Bioeng 71: 186

    Google Scholar 

  27. Shimizu H, Araki K, Shioya S, Suga K (1991) Biotechnol. Bioeng. 38: 196

    Google Scholar 

  28. Shioya S, Omasa T, Suga K (1988) Proc of 8th Int Biotechnology Symp Paris D: 154

    Google Scholar 

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Authors and Affiliations

  1. Department of Biotechnology, Osaka University, Suita, 565, Osaka, Japan

    S. Shioya

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  1. S. Shioya
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© 1992 Springer-Verlag

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Shioya, S. (1992). Optimization and control in fed-batch bioreactors. In: Modern Biochemical Engineering. Advances in Biochemical Engineering/Biotechnology, vol 46. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0000708

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  • DOI: https://doi.org/10.1007/BFb0000708

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55276-5

  • Online ISBN: 978-3-540-47005-2

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