Identifiability Analysis and Parameter Estimation of Microgel Synthesis: A Set-Membership Approach
Autor: | Andrij Pich, Alexander Mitsos, Adel Mhamdi, Franca A. L. Janssen, Agnieszka N. Ksiazkiewicz, Adrian Caspari, Falco Jung |
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Rok vydání: | 2019 |
Předmět: |
Optimization problem
Series (mathematics) Estimation theory Computer science General Chemical Engineering Structure (category theory) 02 engineering and technology General Chemistry 021001 nanoscience & nanotechnology Industrial and Manufacturing Engineering Set (abstract data type) Public records 020401 chemical engineering Identifiability analysis 0204 chemical engineering 0210 nano-technology Biological system |
Zdroj: | Industrial & Engineering Chemistry Research. 58:13675-13685 |
ISSN: | 1520-5045 0888-5885 |
DOI: | 10.1021/acs.iecr.8b05274 |
Popis: | Functional microgels with tailored structure and specific properties are required for medical and technical applications, thus motivating model-based optimization of their fabrication processes. An important step in the creation of accurate models is parameter estimation. We present a methodology for a parameter identifiability analysis, which approximates the feasible parameter set as a box by solving a series of constrained dynamic optimization problems. The method is applied to the synthesis of microgels based on two monomers, N-vinylcaprolactam and N-isopropylacrylamide, and the cross-linker N,N-methylenebis(acrylamide). The results show that kinetic parameters corresponding to the reaction of the monomers are identifiable as are a subset of the kinetic parameters involving the cross-linker. The reaction kinetics of the cross-linking are faster in comparison to the main polymerization reaction for N-vinylcaprolactam; this allows for an improved understanding of the occurring reaction phenomena. The re... |
Databáze: | OpenAIRE |
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