Abstract
A methodology for solving the optimization problem for a widespread microbiological synthesis process is considered, and a numerical solution of the problem is presented. The methodology developed is based on substrate and product inhibition kinetics. The optimization problem is solved using the target component productivity Q p as the optimality criterion. Three variants of optimization problem formulation are considered: optimization of substrate concentration in the feed stream at a fixed dilution rate; dilution rate optimization at a fixed substrate concentration in the feed, S f ; optimization with respect to two variables—S f and Q p . A specific feature of the solution is that it is necessary to check whether the optimal values obtained are usable in the practical implementation of the synthesis process. Numerical results of optimization are presented for the three variants of problem formulation.
Similar content being viewed by others
References
Garcia, J. and Torres, N, Mathematical modeling and assessment of the pH homeostasis mechanisms in Aspergillus niger while in citric acid producing conditions, J. Theor. Biol., 2011, vol. 282, p. 23.
Agarwal, P., Koshy, G., and Ramseier, M, An algorithm for operating a fed-batch fermentor at optimum specific-growth rate, Biotechnol. Bioeng., 1989, vol. 33, p. 115.
Luedeking, R. and Piret, E.L, Transient and steady states in continuous fermentation: theory and experiments, J. Biochem. Microbiol. Technol. Eng., 1959, vol. 1, no. 1, p. 431.
Luedeking, R. and Piret, E.L, A kinetic study of the lactic acid fermentation batch process at controlled pH, J. Biochem. Microbiol. Technol. Eng., 1959, vol. 1, no. 4, p. 393.
Kumar, P., Subrahmanya, J.V.K., and Chidambaram, M, Periodic operation of a bioreactor with input multiplicities, Can. J. Chem. Eng., 1993, vol. 71, p. 766.
Gordeeva, Yu.L., Ponkratova, S.A., and Gordeev, L.S, Information systems in biotechnology: steady state multiplicity, Vestn. Kazan. Tekhnol. Univ., 2011, vol. 14, no. 18, p. 137.
Gordeeva, Yu.L., Ivashkin, Yu.A., and Gordeev, L.S, Steady states of a biotechnological process for producing lactic acid at a given dilution rate, Theor. Found. Chem. Eng., 2013, vol. 47, no. 2, p. 149.
Ivashkin, Yu.A., Gordeev, L.S., and Gordeeva, Yu.L., Optimization algorithms for continuous lactic acid biosynthesis, Program. Prod. Sist., 2012, no. 3, p. 1.
Gordeeva, Yu.L., Glebov, M.B., and Gordeev, L.S, Optimization of microbiological synthesis with nonlinear kinetics of microorganism growth and recycling of substrate and biomass, Theor. Found. Chem. Eng., 2013, vol. 47, no. 5, p. 612.
Saha, P., Partwardhan, S.C., and Ramachandra Rao, V.S., Maximizing productivity of a continuous fermenter using nonlinear adapting optimizing control, Bioprocess Eng., 1999, vol. 20, p. 15.
Henson, M.A, Exploiting cellular biology to manufacture high-value products, IEEE Control Syst. Mag., 2006, p. 54.
Skichko, A.S. and Kol’tsova, E.M, Mathematical model for describing oscillations of bacterial biomass, Theor. Found. Chem. Eng., 2006, vol. 40, no. 5, p. 503.
Munack, A. and Thoma, M, Application of modern control for biotechnological process, IEE Proc., Part D: Control Theory Appl., 1986, vol. 133, p. 194.
Enforce, S.-O., Hedenberg, J., and Olsson, K, Simulation of the dynamics in the baker’s yeast process, Bioprocess Eng., 1990, vol. 5, p. 191
Gordeeva, Yu.L., Ivashkin, Yu.A., Gordeev, L.S., and Glebov, M.B., Modelirovanie protsessov mikrobiologicheskogo sinteza s nelineinoi kinetikoi rosta mikroorganizmov (Simulation of Microbiological Synthesis Processes with Nonlinear Microbial Growth Kinetics), Moscow: RKhTU im. D.I. Mendeleeva, 2011.
Gordeeva, Yu.L., Information systems in biotechnology: 1. Modeling of optimal biosynthesis conditions, Program. Prod. Sist., 2011, no. 3, p. 158.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © Yu.L. Gordeeva, L.S. Gordeev, 2015, published in Teoreticheskie Osnovy Khimicheskoi Tekhnologii, 2015, Vol. 49, No. 6, pp. 651–658.
Rights and permissions
About this article
Cite this article
Gordeeva, Y.L., Gordeev, L.S. Optimization of continuous microbiological synthesis processes with nonlinear microbial growth kinetics. Theor Found Chem Eng 49, 829–835 (2015). https://doi.org/10.1134/S0040579515060044
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0040579515060044