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

Paper ID Volume ID Publish Year Pages File Format Full-Text
31979 44864 2006 9 PDF Available
Title
Exploiting the bootstrap method for quantifying parameter confidence intervals in dynamical systems
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.

Keywords
Parameter confidence interval; Fisher-Information-Matrix; Bootstrap approach
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Publisher
Database: Elsevier - ScienceDirect
Journal: Metabolic Engineering - Volume 8, Issue 5, September 2006, Pages 447–455
Authors
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Subjects
Physical Sciences and Engineering Chemical Engineering Bioengineering
Get Full-Text Now
Don't Miss Today's Special Offer
Price was $35.95
You save - $31
Price after discount Only $4.95
100% Money Back Guarantee
Full-text PDF Download
Online Support
Any Questions? feel free to contact us