Uncertainty analysis for non-identifiable dynamical systems: Profile likelihoods, bootstrapping and more
Fröhlich F, Theis FJ, Hasenauer J (2014)
Publication Type: Conference contribution
Publication year: 2014
Journal
Publisher: Springer Verlag
Book Volume: 8859
Pages Range: 61-72
Conference Proceedings Title: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Event location: Manchester, GBR
ISBN: 9783319129815
DOI: 10.1007/978-3-319-12982-2_5
Abstract
Dynamical systems are widely used to describe the behaviour of biological systems.When estimating parameters of dynamical systems, noise and limited availability of measurements can lead to uncertainties. These uncertainties have to be studied to understand the limitations and the predictive power of a model. Several methods for uncertainty analysis are available. In this paper we analysed and compared bootstrapping, profile likelihood, Fisher information matrix, and multi-start based approaches for uncertainty analysis. The analysis was carried out on two models which contain structurally non-identifiable parameters. We showed that bootstrapping, multi-start optimisation, and Fisher information matrix based approaches yield misleading results for parameters which are structurally non-identifiable. We provide a simple and intuitive explanation for this, using geometric arguments.
Involved external institutions
Germany (DE)How to cite
APA:
Fröhlich, F., Theis, F.J., & Hasenauer, J. (2014). Uncertainty analysis for non-identifiable dynamical systems: Profile likelihoods, bootstrapping and more. In Pedro Mendes, Joseph O. Dada, Kieran Smallbone, Pedro Mendes (Eds.), Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (pp. 61-72). Manchester, GBR: Springer Verlag.
MLA:
Fröhlich, Fabian, Fabian J. Theis, and Jan Hasenauer. "Uncertainty analysis for non-identifiable dynamical systems: Profile likelihoods, bootstrapping and more." Proceedings of the 12th International Conference on Computational Methods in Systems Biology, CMSB 2014, Manchester, GBR Ed. Pedro Mendes, Joseph O. Dada, Kieran Smallbone, Pedro Mendes, Springer Verlag, 2014. 61-72.
BibTeX: Download