Optimisation of biochemical reactors - An analysis of different approximations of fed-batch operation

Chemical Engineering Science

Volumn 53, Issue 2, 1997, Pages 341-352

  Shukla, Pavan Kumar ^b   Pushpavanam, S ^a,b  

^a INDIAN INSTITUTE OF TECHNOLOGY MADRAS   (India)

^b INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

Author keywords

Fed batch optimisation; Maximum principle; Sequential quadratic programming; Substrate inhibition

Indexed keywords

BIOMASS; CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL MODELS; MATHEMATICAL PROGRAMMING; MAXIMUM PRINCIPLE; REACTION KINETICS; SUBSTRATES;

FED BATCH OPERATION; SEQUENTIAL QUADRATIC PROGRAMMING; SUBSTRATE INHIBITION;

BIOREACTORS;

EID: 0031652832     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0009-2509(97)00315-1     Document Type: Article

References (15)

1. Biegler, L. T. (1984) Solution of dynamic optimisation, problems by successive quadratic programming and orthogonal collocation. Comput. Chem. Engng 8(4), 243-248.
2. Bonte, P., Modak, J. M., Tayeb, Y. J. and Lim, H. C. (1986) Computational algorithm for optimal feed rates for a class of fed-batch fermentation: numerical results for penicillin and cell mass production. Biotechnol. Bioengng 28, 1408-1420.
3. Cazzador, L. (1988) On the optimal control of fed-batch reactors with subsrate-inhibited kinetics. Biotechnnol. Bioengng 31, 670-674.
4. Cuthrell, J. E. and Biegler, L. (1989) Simultaneous optimisation and solution method for batch reactor control profiles. Comput. Chem. Engng 13(1) 49-63.
5. Levien, K. L. (1992) Maximising the product distribution in batch reactors: reactions in parallel. Chem. Engng Sci. 47, 1751-1760.
6. Leis, J. R. and Kramer, M. A. (1985) Sensitivity analysis of system of differential and algebraic equations. Comput. Chem. Engng 9 (1) 93-96.
7. Modak, J. M., Lim, H. C. and Tayeb, Y. K. (1986) General characteristics of optimal feed rate profile for various fed-batch fermentation processes. Biotechnol. Bioengng 28, 1396-1407.
8. Morison, K. R. and Sargent, R. W. H. (1984) Optimisation of Multistage Processes Described by Differential-Algebraic Equations, Lecture Notes in Mathematics, Vol. 1230, pp. 86-102.
9. Park, S. and Ramirez, W. F. (1988) Optimal production of secreted protein in fed-batch reactors. A.I.Ch.E. J. 39, 1550-1558.
10. Rosen, O. and Luus, R. (1991) Evaluation of gradients for piecewise constant optimal control. Comput. Chem. Engng 15, 273-281.
11. San, K. Y. and Stephanopoulos, G. (1984) A note on the optimality criteria for maximum biomass production in a fed-batch fermentor. Biotechnol. Bioengng 26, 1261-1264.
12. San, K. Y. and Stephanopoulos, G. (1986) The effect of growth rate delays in substrate-inhibited kinetics on the optimal profile of fed-batch reactors. Biotechnol Bioengng 28, 356-361.
13. Vasantharajan, S. and Biegler, L. T. (1990) Simultaneous strategies for optimisation of differential-algebraic systems with experiment of error criteria. Comput. Chem. Engng 14, 1083-1100.
14. Vassiliadis, V. S., Sargent, R. W. H. and Pantelides, C. C. (1994) Solution of a class of multistage dynamic optimisation problem. 1. Problems without path constraints. Ind. Engng Chem. Res. 33, 2111-2122.
15. Weigand, W. A. (1981) Maximum cell productivity by repeated fed-batch culture constant yield case. Biotechnol. Bioengng 23, 249-266.