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A diagnostic procedure for improving the structure of approximated kinetic models

Quaglio, M; Fraga, ES; Galvanin, F; (2020) A diagnostic procedure for improving the structure of approximated kinetic models. Computers & Chemical Engineering , 133 , Article 106659. 10.1016/j.compchemeng.2019.106659. Green open access

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Abstract

Kinetic models of chemical and biochemical phenomena are frequently built from simplifying assumptions. Whenever a model is falsified by data, its mathematical structure should be modified embracing the available experimental evidence. A framework based on maximum likelihood inference is illustrated in this work for diagnosing model misspecification and improving the structure of approximated models. In the proposed framework, statistical evidence provides a measure to justify a modification of the model structure, namely a reduction of complexity through the removal of irrelevant parameters and/or an increase of complexity through the replacement of relevant parameters with more complex state-dependent expressions. A tailored Lagrange multipliers test is proposed to support the scientist in the improvement of parametric models when an increase in model complexity is required.

Type: Article
Title: A diagnostic procedure for improving the structure of approximated kinetic models
Open access status: An open access version is available from UCL Discovery
DOI: 10.1016/j.compchemeng.2019.106659
Publisher version: https://doi.org/10.1016/j.compchemeng.2019.106659
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: process-model mismatch, diagnosis, information, Lagrange multipliers
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Chemical Engineering
URI: https://discovery.ucl.ac.uk/id/eprint/10087059
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