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The input–output relationship approach to structural identifiability analysis

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Bearup, Daniel J., Evans, Neil D. and Chappell, M. J. (Michael J.) (2013) The input–output relationship approach to structural identifiability analysis. Computer Methods and Programs in Biomedicine, Volume 109 (Number 2). pp. 171-181. doi:10.1016/j.cmpb.2012.10.012 ISSN 0169-2607.

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Official URL: http://dx.doi.org/10.1016/j.cmpb.2012.10.012

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Abstract

Analysis of the identifiability of a given model system is an essential prerequisite to the determination of model parameters from physical data. However, the tools available for the analysis of non-linear systems can be limited both in applicability and by computational intractability for any but the simplest of models. The input–output relation of a model summarises the input–output structure of the whole system and as such provides the potential for an alternative approach to this analysis. However for this approach to be valid it is necessary to determine whether the monomials of a differential polynomial are linearly independent. A simple test for this property is presented in this work. The derivation and analysis of this relation can be implemented symbolically within Maple. These techniques are applied to analyse classical models from biomedical systems modelling and those of enzyme catalysed reaction schemes.

Item Type: Journal Article
Divisions: Faculty of Science, Engineering and Medicine > Engineering > Engineering
Journal or Publication Title: Computer Methods and Programs in Biomedicine
Publisher: Elsevier Ireland Ltd.
ISSN: 0169-2607
Official Date: February 2013
Dates:
DateEvent
February 2013Published
Volume: Volume 109
Number: Number 2
Page Range: pp. 171-181
DOI: 10.1016/j.cmpb.2012.10.012
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

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