Optimisation of Biotechnological Processes through a Combined Algorithm

Authors

  • M Petrov Institute of Biophysics and Biomedical Engineering, Bulgaria

DOI:

https://doi.org/10.29207/joseit.v3i2.8454

Keywords:

fuzzy sets theory, random search with back step, combined algorithm, fed-batch bioprocess, initial condition, optimal control

Abstract

Choosing a good initial point matters as much as the optimisation method itself when tuning a biotechnological process, yet the two most common approaches to getting there each carry a cost: fuzzy-set methods give a direct, transparent solution but scale poorly once the decision space grows large, while random-search methods scale well but do not on their own guarantee a well-chosen starting point. This paper develops a combined algorithm that pairs a random-search-with-back-step (RSBS) method for locating a good initial point with a fuzzy-sets-theory (FST) optimisation stage, so that the random search narrows the search region before the fuzzy method is asked to discretise it — directly addressing the scale limitation that otherwise limits fuzzy optimisation. The combined algorithm is applied to the initial-condition and feeding-rate optimal control problem for the fed-batch biotransformation of whey by a strain of Kluyveromyces marxianus var. lactis MC5 in a laboratory stirred-tank bioreactor, raising the optimisation.

References

K. Selber, F. Nellen, B. Steffen, J. Thömmes, and M.-R. Kula, “Investigation of mathematical methods for efficient optimisation of aqueous two-phase extraction,” Journal of Chromatography, vol. 743, no. 1–2, pp. 21–30, 2000. DOI: 10.1016/S0378-4347(00)00045-1.

S. Ghosh and T. Swaminathan, “Optimization of process variables for the extractive fermentation of 2,3-butanediol by Klebsiella oxytoca in aqueous two-phase system using response surface methodology,” Chemical and Biochemical Engineering Quarterly, vol. 17, no. 4, pp. 319–325, 2003.

C. Pertev, M. Türker, and R. Berber, “Dynamic modeling, sensitivity analysis and parameter estimation of industrial yeast fermenters,” Computers & Chemical Engineering, vol. 21, pp. S739–S744, 1997.

B. Stambuk, M. Franden, A. Singh, and M. Zhang, “D-xylose transport by Candida succiphila and Kluyveromyces marxianus,” Applied Biochemistry and Biotechnology, vol. 105–108, pp. 255–263, 2003.

J. Buckle, T. Feuring, and Y. Hayashi, “Linear systems of first order ordinary differential equation: fuzzy initial condition,” Soft Computing, vol. 6, pp. 415–421, 2002.

L. Zadeh, “Fuzzy sets,” Information and Control, vol. 8, pp. 333–353, 1965. DOI: 10.1016/S0019-9958(65)90241-X.

L. Zadeh, “Fuzzy sets as a basis for a theory of possibility,” Fuzzy Sets and Systems, vol. 100, pp. 9–34, 1999.

Y. Chen and F. Wang, “Crisp and fuzzy optimization of a fed-batch fermentation for ethanol production,” Industrial & Engineering Chemistry Research, vol. 42, pp. 6843–6850, 2003. DOI: 10.1021/ie0210107.

F. S. Wang and K. J. Lin, “Performance analysis and fuzzy optimisation of a two-stage fermentation process with cell recycling including an extractor for lactic acid production,” Chemical Engineering Science, vol. 58, pp. 3753–3763, 2003.

P. Angelov, “An analytical method for solving a type of fuzzy optimisation problems,” Control and Cybernetics, vol. 24, no. 3, pp. 363–373, 1995.

St. Stoyanov, Optimisation of Technological Objects. Sofia, Bulgaria: Tehnika, 1983.

P. Angelov and M. Petrov, “Fuzzy optimization of the constructive parameters of laboratory fermenters,” Biotechnology & Biotechnological Equipment, vol. 8, no. 2, pp. 60–63, 1994.

M. Petrov, “Fuzzy optimization of mass transfer in stirred tank bioreactors,” Biotechnology & Biotechnological Equipment, vol. 12, no. 1, pp. 120–124, 1998.

M. Petrov, T. Ilkova, St. Tzonkov, and U. Viesturs, “Modeling, optimisation and optimal control of small scale stirred tank bioreactors,” International Journal Bioautomation, vol. 1, pp. 67–82, 2004.

M. Petrov, T. Ilkova, and St. Tzonkov, “Modelling and fuzzy optimization of whey fermentation by Kluyveromyces marxianus var. lactis MC5,” Chemical and Biochemical Engineering Quarterly, vol. 19, no. 1, pp. 49–55, 2005.

M. Petrov, “A multiple-objective optimization of whey fermentation in stirred tank,” International Journal Bioautomation, vol. 5, pp. 39–48, 2006.

M. Petrov and T. Ilkova, “Multiple fuzzy optimization of whey fermentation by strain Kluyveromyces marxianus var. lactis MC5,” in Conference Proceedings of the International Conference Automatics and Informatics’08, Sofia, Bulgaria, 2008, pp. II.13–II.16.

M. Petrov, “A combined algorithm for optimization: an application for optimization of gas-liquid transition in stirred tank bioreactors,” International Journal Bioautomation, vol. 3, pp. 10–18, 2005.

M. Petrov and T. Ilkova, “A combined algorithm for multi-objective fuzzy optimization of whey fermentation,” Chemical and Biochemical Engineering Quarterly, vol. 23, no. 2, pp. 153–160, 2009.

D. Filev and R. Yager, “A generalized defuzzification method via BAD distributions,” International Journal of Intelligent Systems, vol. 6, pp. 687–697, 1991.

I. Simov, E. Simova, and M. Beshkova, “Impact of two starter cultures on proteolysis in Kashkaval cheese,” World Journal of Microbiology and Biotechnology, vol. 22, no. 2, pp. 147–156, 2006. DOI: 10.1007/s11274-005-9012-5.

E. Simova, G. Frengova, and D. Beshkova, “Exopolysaccharides produced by mixed culture of yeast Rhodotorula rubra GED10 and yogurt bacteria (Streptococcus thermophilus 13a + Lactobacillus bulgaricus 2-11),” Journal of Applied Microbiology, vol. 97, no. 3, pp. 512–519, 2004.

M. Sarhani, S. Voß, and R. Jovanovic, “Initialization of metaheuristics: comprehensive review, critical analysis, and research directions,” International Transactions in Operational Research, vol. 30, no. 6, pp. 3361–3397, 2023. DOI: 10.1111/itor.13237.

K. Rajwar, K. Deep, and S. Das, “An exhaustive review of the metaheuristic algorithms for search and optimization: taxonomy, applications, and open challenges,” Artificial Intelligence Review, vol. 56, pp. 13187–13257, 2023. DOI: 10.1007/s10462-023-10470-y.

M. Butkus, J. Repsyte, and V. Galvanauskas, “Fuzzy logic-based adaptive control of specific growth rate in fed-batch biotechnological processes. A simulation study,” Applied Sciences, vol. 10, no. 19, art. 6818, 2020. DOI: 10.3390/app10196818.

E. Bolmanis, K. Dubencovs, A. Suleiko, and J. Vanags, “Model predictive control—a stand out among competitors for fed-batch fermentation improvement,” Fermentation, vol. 9, no. 3, art. 206, 2023. DOI: 10.3390/fermentation9030206.

L. Chang, X. Liu, and M. A. Henson, “Nonlinear model predictive control of fed-batch fermentation using dynamic flux balance models,” Journal of Process Control, vol. 42, pp. 137–149, 2016. DOI: 10.1016/j.jprocont.2016.04.012.

A. W. Rogers, F. Vega-Ramon, J. Yan, E. A. Del Río-Chanona, K. Jing, and D. Zhang, “A transfer learning approach for predictive modeling of bioprocesses using small data,” Biotechnology and Bioengineering, vol. 119, no. 2, pp. 411–422, 2022. DOI: 10.1002/bit.27980.

Y. Cheng, X. Bi, Y. Xu, Y. Liu, J. Li, G. Du, X. Lv, and L. Liu, “Artificial intelligence technologies in bioprocess: opportunities and challenges,” Bioresource Technology, vol. 369, art. 128451, 2023. DOI: 10.1016/j.biortech.2022.128451.

Y. Du, M. Wang, L. Yang, L. Tong, D. Guo, and X. Ji, “Optimization and scale-up of fermentation processes driven by models,” Bioengineering, vol. 9, no. 9, art. 473, 2022. DOI: 10.3390/bioengineering9090473.

O. Roeva, A. Zlatkova, V. Lyubenova, M. Ignatova, D. Kristeva, G. Roeva, and D. Zoteva, “Modelling of batch fermentation processes of ethanol production by Kluyveromyces marxianus,” Computation, vol. 14, no. 2, art. 41, 2026. DOI: 10.3390/computation14020041.

Y. Salazar, P. A. Valle, E. Rodríguez, N. O. Soto-Cruz, J. B. Páez-Lerma, and F. J. Reyes-Sánchez, “Mechanistic modelling of biomass growth, glucose consumption and ethanol production by Kluyveromyces marxianus in batch fermentation,” Entropy, vol. 25, no. 3, art. 497, 2023. DOI: 10.3390/e25030497.

Downloads

Published

2024-09-30

Issue

Section

Articles

How to Cite

Optimisation of Biotechnological Processes through a Combined Algorithm. (2024). Journal of Systems Engineering and Information Technology (JOSEIT), 3(2), 70-75. https://doi.org/10.29207/joseit.v3i2.8454