Optimization of biotechnological processes. The acetic acid fermentation. Part II: Practical identifiability analysis and parameter estimation

In part I of this series a mathematical model for acetic acid fermentation was reported. However, no kinetic model can be complete until its equation parameters are estimated. This inevitably entails a practical identifiability analysis intended to ascertain whether the parameters can be estimated i...

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Bibliographic Details
Published in:Biochemical engineering journal Vol. 45; no. 1; pp. 7 - 21
Main Authors: Jiménez-Hornero, Jorge E., Santos-Dueñas, Inés M., García-García, Isidoro
Format: Journal Article
Language:English
Published: Amsterdam Elsevier B.V 01.06.2009
Elsevier
Subjects:
Acetification
Biological and medical sciences
Bioreactor systems
Bioreactors
Biotechnology
Fundamental and applied biological sciences. Psychology
Kinetics
Methods. Procedures. Technologies
Microbial engineering. Fermentation and microbial culture technology
Modelling
Optimization
Various methods and equipments
Vinegar
Bioreactor systems
Modelling
Acetification
Kinetics
Vinegar
Optimization
Biotechnology
Parameter estimation
Modeling
Bioreactor
Acetic fermentation
Acetic acid
Operating process
ISSN:1369-703X, 1873-295X
Online Access:Get full text
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Summary:In part I of this series a mathematical model for acetic acid fermentation was reported. However, no kinetic model can be complete until its equation parameters are estimated. This inevitably entails a practical identifiability analysis intended to ascertain whether the parameters can be estimated in an unambiguous manner based not only on the sensitivity of the model to them, but also on the amount and quality of available experimental data for this purpose. Also, estimating the model parameters entails optimizing a specific objective function subject to the model equations as major constraints and to additional, minor constraints on variables and parameters. This approach usually leads to the formulation of a non-linear programming problem involving differential and algebraic constraints where the decision variables constitute the parameter set to be estimated. In the scope of modelling biotechnological processes, this problem is not usually dealt with in a proper way. This second paper reviews available models for practical identifiability assessment and parameter estimation with a view to their prospective application to the proposed model and its validation.
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ISSN:1369-703X
1873-295X
DOI:10.1016/j.bej.2009.01.010