Parameter Estimation in Population Balance through Bayesian Technique Markov Chain Monte Carlo

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Moura Carlos H.R.; Viegas Bruno M.; Tavares Maria R.M.; Macedo Emanuel N.; Estumano Diego C.; Quaresma Joao N.N.

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Journal Paper

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Journal: JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS Year:2021 | Volume:7 | Issue:2 Page(s): 890-901

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Title

Parameter Estimation in Population Balance through Bayesian Technique Markov Chain Monte Carlo

Author(s)

Keywords

Particulate Systems

Population Balance

Bayesian Statistics

Markov Chain Monte Carlo

Abstract

In this work, the Markov Chain Monte Carlo is applied to estimate parameters that represent mechanisms that describe particles' dynamics in Particulate Systems from the literature's proposed models. Initially, the reduced sensitivity coefficient is evaluated to verify which parameters could be estimated simultaneously. The technique is then applied to estimate the models' parameters in different numerical scenarios to determine the rates that influence population dynamics. After the analyzes are performed, the estimates show good precision, accuracy, and a good fit between the measured and estimated state variables. The results show that the Markov Chain Monte Carlo can determine the rates of Population Balance phenomenon.

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APA: Copy

Moura, Carlos H.R., Viegas, Bruno M., Tavares, Maria R.M., Macedo, Emanuel N., Estumano, Diego C., & Quaresma, Joao N.N.. (2021). Parameter Estimation in Population Balance through Bayesian Technique Markov Chain Monte Carlo. JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, 7(2), 890-901. SID. https://sid.ir/paper/969949/en

Vancouver: Copy

Moura Carlos H.R., Viegas Bruno M., Tavares Maria R.M., Macedo Emanuel N., Estumano Diego C., Quaresma Joao N.N.. Parameter Estimation in Population Balance through Bayesian Technique Markov Chain Monte Carlo. JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS[Internet]. 2021;7(2):890-901. Available from: https://sid.ir/paper/969949/en

IEEE: Copy

Carlos H.R. Moura, Bruno M. Viegas, Maria R.M. Tavares, Emanuel N. Macedo, Diego C. Estumano, and Joao N.N. Quaresma, “Parameter Estimation in Population Balance through Bayesian Technique Markov Chain Monte Carlo,” JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, vol. 7, no. 2, pp. 890–901, 2021, [Online]. Available: https://sid.ir/paper/969949/en

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