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Conservation laws and unidentifiability of rate expressions in biochemical models
Chalmers University of Technology.
Linköping University, Department of Clinical and Experimental Medicine, Cell Biology. Linköping University, Faculty of Health Sciences.
Chalmers University of Technology.
Chalmers University of Technology.
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2007 (English)In: IET SYSTEMS BIOLOGY, ISSN 1751-8849, Vol. 1, no 4, 230-237 p.Article in journal (Refereed) Published
Abstract [en]

New experimental techniques in bioscience provide us with high-quality data allowing quantitative mathematical modelling. Parameter estimation is often necessary and, in connection with this, it is important to know whether all parameters can be uniquely estimated from available data, (i.e. whether the model is identifiable). Dealing essentially with models for metabolism, we show how the assumption of an algebraic relation between concentrations may cause parameters to be unidentifiable. If a sufficient data set is available, the problem with unidentifiability arises locally in individual rate expressions. A general method for reparameterisation to identifiable rate expressions is provided, together with a Mathematica code to help with the calculations. The general results are exemplified by four well-cited models for glycolysis.

Place, publisher, year, edition, pages
2007. Vol. 1, no 4, 230-237 p.
National Category
Medical and Health Sciences
URN: urn:nbn:se:liu:diva-53481DOI: 10.1049/iet-syb:20060081OAI: diva2:290031
Available from: 2010-01-25 Created: 2010-01-25 Last updated: 2010-01-25

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Cedersund, Gunnar
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Cell BiologyFaculty of Health Sciences
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