Optimisation of fed-batch bioreactors using genetic algorithms

An optimisation procedure based on genetic algorithm approach is developed for the determination of substrate feed profiles for the optimal operation of fed-batch bioreactors. The problem specific knowledge generated through the rigorous application of the optimal control theory is used to formulate the set of decision variables representing the qualitative and quantitative aspects of the feed rate profile. A customized genetic algorithm with suitable genetic operators is used for generating the optimal feed profiles. Even though the optimal control theory is not explicitly used, the feed rate policies thus evolved are shown to retain the characteristics of the profiles generated through the application of optimal control theory. The efficiency of the proposed algorithm is demonstrated with two fermentation processes: secreted protein and yeast cell mass production.

[1]  H. Lim,et al.  Computational algorithms for optimal feed rates for a class of fed‐batch fermentation: Numerical results for penicillin and cell mass production , 1986, Biotechnology and bioengineering.

[2]  L. Bittner L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, E. F. Mishechenko, The Mathematical Theory of Optimal Processes. VIII + 360 S. New York/London 1962. John Wiley & Sons. Preis 90/– , 1963 .

[3]  Julio R. Banga,et al.  Stochastic optimization for optimal and model-predictive control , 1998 .

[4]  Satish J. Parulekar,et al.  Modeling, optimization and control of semi-batch bioreactors , 1985 .

[5]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[6]  John Holland,et al.  Adaptation in Natural and Artificial Sys-tems: An Introductory Analysis with Applications to Biology , 1975 .

[7]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[8]  C. W. Gear,et al.  Numerical initial value problem~ in ordinary differential eqttations , 1971 .

[9]  Rein Luus,et al.  Iterative dynamic programming , 2019, Iterative Dynamic Programming.

[10]  Arthur E. Bryson,et al.  Applied Optimal Control , 1969 .

[11]  Sanyasi Rao,et al.  Optimization of a biochemical fed-batch reactor using sequential quadratic programming , 1999 .

[12]  Zbigniew Michalewicz,et al.  An Experimental Comparison of Binary and Floating Point Representations in Genetic Algorithms , 1991, ICGA.

[13]  H. J. Oberle,et al.  Numerical Computation of Optimal Feed Rates for a Fed-Batch Fermentation Model , 1999 .

[14]  Pavan K. Shukla,et al.  Optimisation of biochemical reactors : an analysis of different approximations of fed-batch operation , 1998 .

[15]  H C Lim,et al.  General characteristics of optimal feed rate profiles for various fed‐batch fermentation processes , 1986, Biotechnology and bioengineering.

[16]  H. Lim,et al.  Optimization of biphasic growth of Saccharomyces carlsbergensis in fed‐batch culture , 1989, Biotechnology and bioengineering.

[17]  Johannes Andries Roubos,et al.  An evolutionary strategy for fed-batch bioreactor optimization; concepts and performance , 1999 .

[18]  W. Ramirez,et al.  Optimal production of secreted protein in fed‐batch reactors , 1988 .

[19]  L. S. Pontryagin,et al.  Mathematical Theory of Optimal Processes , 1962 .

[20]  H C Lim,et al.  Feedback optimization of fed‐batch fermentation , 1987, Biotechnology and bioengineering.

[21]  H C Lim,et al.  Simple nonsingular control approach to fed‐batch fermentation optimization , 1989, Biotechnology and bioengineering.

[22]  Bong Hyun Chung,et al.  Adaptive optimization of fed-batch culture of yeast by using genetic algorithms , 2002 .