Structural identifiability of polynomial and rational systems |
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| Authors: | Jana Němcová |
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| Institution: | 1. Department of Mechanical Engineering, University of Canterbury, Private Bag 4800, Christchurch 8140, New Zealand;2. Institute of Technical Medicine, Furtwangen University, Jakob Kienzle Str. 17, D-78054 Villingen-Schwenningen, Germany;3. School of Engineering, Monash University, Jalan Lagoon Selatan, 47500 Bandar Sunway, Selangor Darul Ehsan, Malaysia;1. Institute of Biomedical Engineering, Bo?aziçi University, Kandilli, ?stanbul, Turkey;2. Department of Computer Engineering, Bo?aziçi University, ?stanbul, Turkey;3. Tübitak Bilgem ?ltaren Advanced Technologies Research Institute, Ankara, Turkey;4. Çankaya University, Faculty of Engineering, Department of Electrical and Electronics Engineering, Ankara, Turkey;5. Department of Medical Engineering, Ac?badem University, Istanbul, Turkey |
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| Abstract: | Since analysis and simulation of biological phenomena require the availability of their fully specified models, one needs to be able to estimate unknown parameter values of the models. In this paper we deal with identifiability of parametrizations which is the property of one-to-one correspondence of parameter values and the corresponding outputs of the models. Verification of identifiability of a parametrization precedes estimation of numerical values of parameters, and thus determination of a fully specified model of a considered phenomenon. We derive necessary and sufficient conditions for the parametrizations of polynomial and rational systems to be structurally or globally identifiable. The results are applied to investigate the identifiability properties of the system modeling a chain of two enzyme-catalyzed irreversible reactions. The other examples deal with the phenomena modeled by using Michaelis–Menten kinetics and the model of a peptide chain elongation. |
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