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Making sense of parameter estimation and model simulation in bioprocesses
Authors:M. Constanza Sadino-Riquelme  José Rivas  David Jeison  Robert E. Hayes  Andrés Donoso-Bravo
Affiliation:1. Department of Chemical and Materials Engineering, University of Alberta, Edmonton, Canada;2. Departamento de Ingeniería Química y Ambiental, Universidad Técnica Federico Santa María, Santiago, Chile;3. Escuela de Ingeniería Bioquímica, Pontificia Universidad Católica de Valparaíso, Valparaíso, Chile;4. Departamento de Ingeniería Química y Ambiental, Universidad Técnica Federico Santa María, Santiago, Chile

CETAQUA, Las Condes, Chile

Abstract:Most articles that report fitted parameters for kinetic models do not include meaningful statistical information. This study demonstrates the importance of reporting a complete statistical analysis and shows a methodology to perform it, using functionalities implemented in computational tools. As an example, alginate production is studied in a batch stirred-tank fermenter and modeled using the kinetic model proposed by Klimek and Ollis (1980). The model parameters and their 95% confidence intervals are estimated by nonlinear regression. The significance of the parameters value is checked using a hypothesis test. The uncertainty of the parameters is propagated to the output model variables through prediction intervals, showing that the kinetic model of Klimek and Ollis (1980) can simulate with high certainty the dynamic of the alginate production process. Finally, the results obtained in other studies are compared to show how the lack of statistical analysis can hold back a deeper understanding about bioprocesses.
Keywords:confidence and prediction intervals  hypothesis test  kinetic model  parameter estimation
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