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  Exploiting the bootstrap method for quantifying parameter confidence intervals in dynamical systems

Joshi, M., Seidel-Morgenstern, A., & Kremling, A. (2006). Exploiting the bootstrap method for quantifying parameter confidence intervals in dynamical systems. Metabolic Engineering, 8(5), 447-455. doi:10.1016/j.ymben.2006.04.003.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-99EE-A Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0025-C36F-F
Genre: Journal Article

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 Creators:
Joshi, M.1, Author              
Seidel-Morgenstern, A.1, 2, Author              
Kremling, A.3, Author              
Affiliations:
1Physical and Chemical Foundations of Process Engineering, Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society, ou_1738150              
2Otto-von-Guericke-Universität Magdeburg, External Organizations, ou_1738156              
3Systems Biology, Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society, ou_1738155              

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Free keywords: Parameter confidence interval; Fisher-Information-Matrix; Bootstrap approach
 Abstract: A quantitative description of dynamical systems requires the estimation of uncertain kinetic parameters and an analysis of their precision. A method frequently used to describe the confidence intervals of estimated parameters is based on the Fisher-Information-Matrix. The application of this traditional method has two important shortcomings: (i) it gives only lower bounds for the variance of a parameter if the solution of the underlying model equations is non-linear in parameters. (ii) The resulting confidence interval is symmetric with respect to the estimated parameter. Here, we show that by applying the bootstrap method a better approximation of (possibly) asymmetric confidence intervals for parameters could be obtained. In contrast to previous applications devoted to non-parametric problems, a dynamical model describing a bio-chemical network is used to evaluate the method. 2006 Elsevier Inc. All rights reserved [accessed 2013 November 27th]

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Language(s): eng - English
 Dates: 2006
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 287336
DOI: 10.1016/j.ymben.2006.04.003
Other: 40/06
 Degree: -

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Title: Metabolic Engineering
Source Genre: Journal
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Publ. Info: Brugge, Belgium : Academic Press
Pages: - Volume / Issue: 8 (5) Sequence Number: - Start / End Page: 447 - 455 Identifier: ISSN: 1096-7176
CoNE: https://pure.mpg.de/cone/journals/resource/954922651200