Constrained optimization of L-lysine production based on metabolic flux using a mathematical programming method

Journal of Bioscience and Bioengineering

Volumn 91, Issue 4, 2001, Pages 344-351

  Tada, Kiyoshi ^a   Kishimoto, Michimasa ^a   Omasa, Takeshi ^a   Katakura, Yoshio ^a   Suga, Ken Ichi ^a  

^a OSAKA UNIVERSITY   (Japan)

Author keywords

Constrained optimization; L lysine; Mathematical programming method; Metabolic flux

Indexed keywords

ALGORITHMS; COMPUTER PROGRAMMING; CONCENTRATION (PROCESS); DIFFERENTIAL EQUATIONS; FERMENTATION; METABOLISM; OPTIMIZATION; QUADRATIC PROGRAMMING;

EMPIRICAL EQUATIONS;

AMINO ACIDS;

LYSINE; THREONINE;

ALGORITHM; AMINO ACID SYNTHESIS; ARTICLE; CALCULATION; CHEMICAL REACTION; COMPUTER PROGRAM; FERMENTATION; MATHEMATICAL ANALYSIS; METABOLISM; NONHUMAN;

EID: 0035000371     PISSN: 13891723     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1389-1723(01)80149-3     Document Type: Article

References (20)

1. Constantinides, A., Spencer, J. L., and Gaden, E. L., Jr.: Optimization of batch fermentation processes. I. Development of mathematical models for batch penicillin fermentations. Biotechnol. Bioeng., 12, 803-830 (1970).
2. Blanch, H. W. and Rodgers, P. L.: Optimal conditions for gramicidin S production in continuous culture. Biotechnol. Bioeng., 14, 151-171 (1972).
3. Fishman, V. M. and Biryukov, V. V.: Kinetic model of secondary metabolite production and its use in computation of optimal conditions. Biotechnol. Bioeng. Symp., 4, 647-662 (1974).
4. Cheruy, A. and Durand, A.: Optimization of erythromycin biosynthesis by controlling pH and temperature. Theoretical aspects and practical application. Biotechnol. Bioeng. Symp., 9, 303-320 (1979).
5. Weigand, W. A., Lim., H. C., Creagan, C. C., and Mohler, R. D.: Optimization of a repeated fed-batch reactor for maximum cell productivity. Biotechnol. Bioeng. Symp., 9, 335-348 (1979).
6. Jacobson, D. H. and Lele, M. M.: A transformation technique for optimal control problems with a state variable inequality constraint, IEEE Transactions on Automatic Control, AC-14, 5, 457-464 (1969).
7. Shimizu, H., Araki, K., Shioya, S., and Suga, K.: Optimal production of glutathione by controlling the specific growth rate of yeast in fed-batch culture. Biotechnol. Bioeng., 38, 196-205 (1991).
8. Katou, K. (ed.): Optimum control in engineering. Academic Press, Tokyo (1991).
9. Varma, A., Boesch, B. W., and Palsson, B. O.: Stoichiometric interpretation of Escherichia coli glucose catabolism under various oxygenation rates. Appl. Environ. Microbiol., 59, 2465-2473 (1993).
10. Shi, H., Nikawa, J., and Shimizu, K.: Effect of modifying metabolic network on poly-3-hydroxybutyrate biosynthesis in recombinant Escherichia coli. J. Biosci. Bioeng., 87, 666-677 (1999).
11. Chimnard, F. P.: Photometric estimation of proline and ornithine. J. Biol. Chem., 199, 91-95 (1952).
12. Tosaka, O. and Takinami, K.: Lysine fermentation. Hakko to Kogyo, 40, 116-127 (1982).
13. Vallino, J. and Stephanopoulos, G.: Metabolic flux distributions in Corynebacterium glutamicum during growth and lysine overproduction. Biotechnol. Bioeng., 41, 633-646 (1993).
14. Mavrovouniotis, M., Stephanopoulos, G., and Stephanopoulos, G.: Computer-aided synthesis of biochemical pathways. Biotechnol. Bioeng., 36, 1119-1132 (1990).
15. Takiguchi, N., Shimizu, H., and Shioya, S.: An on-line physiological state recognition system for the lysine fermentation process based on a metabolic reaction model. Biotechnol. Bioeng., 55, 170-181 (1997).
16. Suzuki, S. and Yoshiza, T.: Multiobjective trajectory optimization by goal programming with fuzzy decisions. J. Guidance, Control, and Dynamics, 17, 297-303 (1994).
17. Powell, M. J. D.: The convergence of variable metric methods for nonlinearly constrained optimization calculations, p. 27-63. In Mangasarian, O., Meyer, R., and Robinson, S. (ed.), Nonlinear programming, vol. 3. Academic Press, New York (1978).
18. Han, S. P.: Superlinearly convergent variable metric algorithms for general nonlinear programming problem. Mathematical Programming, 11, 263-283 (1976).
19. Han, S. P.: A globally convergent method for nonlinear programming. J. Optimiz. Theory Appl., 22, 297-309 (1977).
20. Tada, K., Kishimoto, M., Omasa, T., Katakura, Y., and Suga, K.: L-Lysine production by the exponential feed of L-threonine. J. Biosci. Bioeng., 90, 669-674 (2000).