Journal ArticleDOI
Exploiting the bootstrap method for quantifying parameter confidence intervals in dynamical systems.
TLDR
By applying the bootstrap method a better approximation of (possibly) asymmetric confidence intervals for parameters could be obtained and a dynamical model describing a bio-chemical network is used to evaluate the method.About:
This article is published in Metabolic Engineering.The article was published on 2006-09-01. It has received 186 citations till now. The article focuses on the topics: Robust confidence intervals & Confidence distribution.read more
Citations
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Journal ArticleDOI
Structural and practical identifiability analysis of partially observed dynamical models by exploiting the profile likelihood
Andreas Raue,Clemens Kreutz,Thomas Maiwald,Julie Bachmann,Marcel Schilling,Ursula Klingmüller,Jens Timmer +6 more
TL;DR: This work suggests an approach that exploits the profile likelihood that enables to detect structural non-identifiabilities, which manifest in functionally related model parameters, that might arise due to limited amount and quality of experimental data.
Journal ArticleDOI
Model selection, identification and validation in anaerobic digestion: A review
Andres Donoso-Bravo,Johan Mailier,Cristina Martin,Jorge Rodríguez,Jorge Rodríguez,César Arturo Aceves-Lara,César Arturo Aceves-Lara,César Arturo Aceves-Lara,Alain Vande Wouwer +8 more
TL;DR: Existing modeling frameworks and methodologies for parameter estimation and model validation in the field of anaerobic digestion processes are discussed, intentionally focusing on simple but efficient methods.
Journal ArticleDOI
An iterative identification procedure for dynamic modeling of biochemical networks
TL;DR: The presented procedure was used to iteratively identify a mathematical model that describes the NF-κ B regulatory module involving several unknown parameters and demonstrated the lack of identifiability of the model under typical experimental conditions and computed optimal dynamic experiments that largely improved identifiable properties.
Journal ArticleDOI
Parameter estimation and optimal experimental design.
Julio R. Banga,Eva Balsa-Canto +1 more
TL;DR: This chapter reviews two key steps of the model building process, namely parameter estimation (model calibration) and optimal experimental design, and places emphasis on the need for robust global optimization methods for proper solution of these problems.
Journal ArticleDOI
Parameter uncertainty in biochemical models described by ordinary differential equations.
J Joep Vanlier,J Joep Vanlier,CA Christian Tiemann,CA Christian Tiemann,Peter A. J. Hilbers,Peter A. J. Hilbers,N.A.W. van Riel,N.A.W. van Riel +7 more
TL;DR: This review provides an introduction to some of the techniques available as well as gives an overview of the state-of-the-art methods for parameter uncertainty analysis.
References
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Book
An introduction to the bootstrap
Bradley Efron,Robert Tibshirani +1 more
TL;DR: This article presents bootstrap methods for estimation, using simple arguments, with Minitab macros for implementing these methods, as well as some examples of how these methods could be used for estimation purposes.
Book
System Identification: Theory for the User
TL;DR: Das Buch behandelt die Systemidentifizierung in dem theoretischen Bereich, der direkte Auswirkungen auf Verstaendnis and praktische Anwendung der verschiedenen Verfahren zur IdentifIZierung hat.
Journal ArticleDOI
An Introduction to the Bootstrap.
Journal ArticleDOI
Bootstrap Confidence Intervals
Thomas J. DiCiccio,Bradley Efron +1 more
TL;DR: Bootstrap methods for estimating confidence intervals have been surveyed in this article, with a focus on improving the accuracy of the standard confidence intervals in a way that allows routine application even to very complicated problems.