Evaluation of optimization techniques for parameter estimation: Application to ethanol fermentation considering the effect of temperature

Abstract Optimization techniques are evaluated to estimate the kinetic model parameters of batch fermentation process for ethanol production using Saccharomyces cerevisiae. Batch experimental observations at five temperatures (28, 31, 34, 37 and 40 °C) are used to formulate the parameter estimation problem. The potential of Quasi-Newton (QN) and Real-Coded Genetic Algorithm (RGA) to solve the estimation problem is considered to find out the optimal solution. Subsequently, the optimized parameters (μmax, Xmax, Pmax, Yx and Ypx) were characterized by correlation functions assuming temperature dependence. The kinetic models optimized by QN and RGA describe satisfactorily the batch fermentation process as demonstrated by the experimental results.

[1]  Edgar L. Piret,et al.  Transient and steady states in continuous fermentaion. Theory and experiment , 1959 .

[2]  Henry Y. Wang,et al.  Rapid determination of yeast viability , 1981 .

[3]  J. Nielsen,et al.  Fuel ethanol production from lignocellulose: a challenge for metabolic engineering and process integration , 2001, Applied Microbiology and Biotechnology.

[4]  O. Lucon,et al.  Ethanol learning curve—the Brazilian experience , 2004 .

[5]  D. E. Goldberg,et al.  Genetic Algorithms in Search , 1989 .

[6]  K. Schügerl,et al.  Progress in monitoring, modeling and control of bioprocesses during the last 20 years. , 2001, Journal of biotechnology.

[7]  S. Alfenore,et al.  Synergistic temperature and ethanol effect on Saccharomyces cerevisiae dynamic behaviour in ethanol bio-fuel production , 2004, Bioprocess and biosystems engineering.

[8]  Zbigniew Michalewicz,et al.  Genetic algorithms + data structures = evolution programs (3rd ed.) , 1996 .

[9]  M. Rodrigues,et al.  Response surface analysis and simulation as a tool for bioprocess design and optimization , 2000 .

[10]  G. Froment,et al.  A hybrid genetic algorithm for the estimation of parameters in detailed kinetic models , 1998 .

[11]  R Maciel,et al.  Kinetics of ethanol fermentation with high biomass concentration considering the effect of temperature , 2001, Applied biochemistry and biotechnology.

[12]  Zbigniew Michalewicz,et al.  Genetic Algorithms + Data Structures = Evolution Programs , 1996, Springer Berlin Heidelberg.

[13]  L. Petzold.  Automatic Selection of Methods for Solving Stiff and Nonstiff Systems of Ordinary Differential Equations , 1983 .

[14]  C Dagot,et al.  Modeling of an industrial alcohol fermentation and simuiation of the plant by a process simulator , 1995, Biotechnology and bioengineering.

[15]  Consuelo Pizarro,et al.  Evaluation of Kinetic Models for Industrial Acetic Fermentation: Proposal of a New Model Optimized by Genetic Algorithms , 2003, Biotechnology progress.

[16]  L. J. Park,et al.  Application of genetic algorithms to parameter estimation of bioprocesses , 2006, Medical and Biological Engineering and Computing.

[17]  S. R. Andrietta,et al.  Optimum Design of a Continuous Fermentation Unit of an Industrial Plant for Alcohol Production , 1994 .

[18]  A. Dourado,et al.  Modeling and static optimization of the ethanol production in a cascade reactor. I. Modeling , 1987, Biotechnology and bioengineering.

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

[20]  S. Yalçın,et al.  Effects of different substrates on growth and glycerol production kinetics of a wine yeast strain Saccharomyces cerevisiae Narince 3 , 2004 .

[21]  V. Fromion,et al.  Modeling the effects of assimilable nitrogen and temperature on fermentation kinetics in enological conditions , 2004, Biotechnology and bioengineering.

[22]  Adel Ben Haj Yedder.  Optimisation numérique et contrôle optimal : applications en chimie moléculaire , 2002 .

[23]  G. Zacchi,et al.  Modelling the influence of pH, temperature, glucose and lactic acid concentrations on the kinetics of lactic acid production by Lactococcus lactis ssp. lactis ATCC 19435 in whole-wheat flour , 1998, Applied Microbiology and Biotechnology.