Identifiability analysis for models of the translation kinetics after mRNA transfection.

Chemical Langevin equation Differential equation models Itô diffusion process Parameter identifiability Stochastic modeling mRNA transfection

Journal

Journal of mathematical biology
ISSN: 1432-1416
Titre abrégé: J Math Biol
Pays: Germany
ID NLM: 7502105

Informations de publication

Date de publication:
17 05 2022
Historique:
received: 17 05 2021
accepted: 26 03 2022
revised: 25 03 2022
entrez: 16 5 2022
pubmed: 17 5 2022
medline: 20 5 2022
Statut: epublish

Résumé

Mechanistic models are a powerful tool to gain insights into biological processes. The parameters of such models, e.g. kinetic rate constants, usually cannot be measured directly but need to be inferred from experimental data. In this article, we study dynamical models of the translation kinetics after mRNA transfection and analyze their parameter identifiability. That is, whether parameters can be uniquely determined from perfect or realistic data in theory and practice. Previous studies have considered ordinary differential equation (ODE) models of the process, and here we formulate a stochastic differential equation (SDE) model. For both model types, we consider structural identifiability based on the model equations and practical identifiability based on simulated as well as experimental data and find that the SDE model provides better parameter identifiability than the ODE model. Moreover, our analysis shows that even for those parameters of the ODE model that are considered to be identifiable, the obtained estimates are sometimes unreliable. Overall, our study clearly demonstrates the relevance of considering different modeling approaches and that stochastic models can provide more reliable and informative results.

Identifiants

pubmed: 35577967
doi: 10.1007/s00285-022-01739-x
pii: 10.1007/s00285-022-01739-x
pmc: PMC9110294
doi:

Substances chimiques

RNA, Messenger 0

Types de publication

Journal Article Research Support, Non-U.S. Gov't

Langues

eng

Sous-ensembles de citation

IM

Pagination

56

Informations de copyright

© 2022. The Author(s).

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Auteurs

Susanne Pieschner (S)

Institute of Computational Biology, Helmholtz Zentrum München - German Research Center for Environmental Health, Neuherberg, Oberschleißheim, Germany.
Department of Mathematics, Technical University Munich, Garching, Germany.

Jan Hasenauer (J)

Institute of Computational Biology, Helmholtz Zentrum München - German Research Center for Environmental Health, Neuherberg, Oberschleißheim, Germany.
Department of Mathematics, Technical University Munich, Garching, Germany.
Faculty of Mathematics and Natural Sciences, University of Bonn, Bonn, Germany.

Christiane Fuchs (C)

Institute of Computational Biology, Helmholtz Zentrum München - German Research Center for Environmental Health, Neuherberg, Oberschleißheim, Germany. christiane.fuchs@uni-bielefeld.de.
Department of Mathematics, Technical University Munich, Garching, Germany. christiane.fuchs@uni-bielefeld.de.
Faculty of Business Administration and Economics, Bielefeld University, Bielefeld, Germany. christiane.fuchs@uni-bielefeld.de.

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Classifications MeSH