Estimation of parameters and state variables in an alcoholic fermentation process in a fed-batch bioreactor
Abstract
Energy consumption in the world is based on two types of sources: fossil fuels and renewable energy. In this case, bioethanol presents itself as an alternative resource to fossil fuels, whose production can occur through specific processes called alcoholic fermentation. In parallel, the growing demand for energy has motivated scientists to develop even more efficient systems and technologies. In this work, mathematical modeling and simulation was performed to represent the kinetics of alcoholic fermentation in a fed-batch bioreactor. The modeling was developed taking into account the microbial inhibition caused by the presence of excess substrate and product through the Tosetto and Hoppe-Hansford models. In the simulation, Bayesian statistics was used as a tool to estimate the kinetic parameters and the state variables of the bioprocess. The estimates were obtained through the use of a particle filter proposed by Liu and West, with 500 particles and experimental measurements from the literature, whose approach presented 99% accuracy and proved to be effective for describing alcoholic fermentation.
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References
K. A. Gray, L. Zhao, and M. Emptage, “Bioethanol,” Current Opinion in Chemical Biology, vol. 10, no. 2, pp. 141–146, 2006.
P. M. Doran, “Bioprocess Development: An Interdisciplinary Challenge,” in Bioprocess Engineering Principles, Waltham, MA: Academic Press, 2013, ch. 1, pp. 3-11.
W. Schmidell and M.C.R. Facciotti, “Biorreatores e processos fermentativos,” in Biotecnologia industrial: Engenharia bioquímica, vol. 2, W. Schmidell, U. A. Lima, E. Aquarone, W. Borzani, Eds., São Paulo, 1st ed, São Paulo, BR: Edgard Blücher, 2001,ch. 8, pp. 179–192.
H. Hiss, “Cinética do processos fermentativos,” in Biotecnologia industrial: Engenharia bioquímica, vol. 2, W. Schmidell, U. A. Lima, E. Aquarone, W. Borzani, Eds., 1st ed, São Paulo, BR: Edgard Blücher, 2001,ch. 6, pp. 93–122.
L. C. Basso, S. N. Rocha, and T. O. Basso, “Ethanol Production in Brazil: The Industrial Process and Its Impact on Yeast Fermentation,” in Biofuel Production-Recent Developments and Prospects, INTECH Open Access Publisher, 2011, pp. 85–100.
I. I. K. Veloso, “Modelagem e otimização da fermentação alcoólica em batelada alimentada a baixa temperatura,” M.S. thesis, Dept. of Chem. Eng., Federal Univ. of São Carlos, São Carlos, SP, 2019.
N. Pereira Junior, E.P.S. Bom and M.A. Ferrara, “Bioprocessos,” in Tecnologia de Bioprocessos (Séries em Biotecnologia vol. 1), Rio de Janeiro, BR: Amiga Digital, 2008, ch. 2, pp. 18-20.
A. Bonomi and W. Schmidell, “Modelagem matemática e simulação de processos fermentativos,” in Biotecnologia industrial: Engenharia bioquímica, vol. 2, W. Schmidell, U. A. Lima, E. Aquarone, W. Borzani, Eds., 1st ed., São Paulo, BR: Edgard Blücher, 2001, ch. 7, pp. 123–178.
J. Liu and M. West, “Combined parameter and state estimation in simulation-based filtering,”. In: A. Doucet, N. de Freitas and N. Gordon, Eds.,Sequential Monte Carlo Methods in Practice (Statistics for Engineering and Information Science), New York, US: Springer, 2001, pp. 197–223.
P. M. Doran, “Material Balances,” in Bioprocess Engineering Principles, Waltham, MA: Academic Press, 2013, ch. 4, pp. 87–91.
H. Hiss, “A cinética de inibição do crescimento,” in Cinética de fermentações-Uma análise matemática da atividade microbiana, 1st ed., BR : Clube de Autores, 2013, ch. 4, pp. 306–394.
G. M. Tosetto, “Influência da matéria-prima no comportamento cinético de levedura na produção de etanol,” M.S. thesis, Dept. of Biotechnological Processes, State Univ. of Campinas , Campinas, SP, 2002.
T. K. Ghose and R. D. Thyagi, “Rapid ethanol fermentation of cellulose hydrolysate,”. II. product and Substrate Inhibition and Optimization of Fermentor Design. Biotechnology and Bioengineering, v. 21, no. 8, pp. 1401-1420, 1979.
G. K. Hoppe and G. S. Hansford, “Ethanol inhibition of continuous anaerobic yeast growth,” Biotechnology Letters, vol. 4, no. 1, pp. 39–44, 1982.
R. Van De Schoot et al., “Bayesian statistics and modelling,” Nature Reviews Methods Primers, vol. 1, no. 1, 2021.
J. V. Beck and K. J. Arnold, “Parameter estimation in engineering and science,” John Wiley & Sons, New York, U.S., 1977.
J. Kaipio and E. Somersalo, “Statistical inverse problems: discretization, model reduction and inverse crimes,”. Journal of computational and applied mathematics, v. 198, no. 2, pp. 493-504, jan. 2007.
B. M. Viegas, E. M. Magalhães, H. R. B. Orlande, D. C. Estumano and E. N. Macêdo, “Experimental study and mathematical modelling of red mud leaching: application of Bayesian techniques,”. International Journal of Environmental Science and Technology, v. 20, pp. 5533-5546, 2023.
T. G. Martins, “Aproximaçoes determinısticas para distribuiçoes a posterirori marginais,” M.S, thesis, Dept. of Statistical Methods. , Federal Univ. of Rio de Janeiro, Rio de Janeiro, RJ, 2010.
D. C. Estumano, “Estimativa de parâmetros e variáveis de estado de modelos aplicados à neurônios citomegálicos utilizando dados experimentais do protocolo de tensão fixa,” Ph.D. dissertation, Graduate Program in Mech. Eng., Federal Univ. of Rio de Janeiro, Rio de Janeiro, RJ, 2016.
W. Betencurte Da Silva, “Aplicação de filtros de partículas para a assimilação de dados em problemas de fronteira móvel,” Ph.D. dissertation, Graduate Program in Mech. Eng., Federal Univ. of Rio de Janeiro, Rio de Janeiro, RJ, 2012.
P. C. S. Borges, “Otimização dinâmica da fermentação alcoólica no processo em batelada alimentada,” M.S. thesis, Graduate Program in Chem. Eng., Federal Univ. of Uberlândia, Uberlândia, MG, 2008.
U. A. Lima, L. C. Basso and H. V. Amorim, “Produção de etanol,” in Biotecnologia industrial: Processos Fermentativos e Enzimáticos, vol. 3, U. A. Lima, E. Aquarone, W. Borzani, W. Schmidell, Eds., São Paulo, 1st ed., BR: Edgard Blücher, 2001, ch. 1, pp. 1–43.
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