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Differential algebra methods for the study of the structural identifiability of rational function state-space models in the biosciences

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UNSPECIFIED (2001) Differential algebra methods for the study of the structural identifiability of rational function state-space models in the biosciences. MATHEMATICAL BIOSCIENCES, 174 (1). pp. 1-26. ISSN 0025-5564

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Abstract

In this paper methods from differential algebra are used to study the structural identifiability of biological and pharmacokinetics models expressed in state-space form and with a structure given by rational functions. The focus is on the examples presented and on the application of efficient, automatic methods to test for structural identifiability for various input-output experiments. Differential algebra methods are coupled with Grobner bases, Lie derivatives and the Taylor series expansion in order to obtain efficient algorithms. In particular, an upper bound on the number of derivatives needed for the Taylor series approach for a structural identifiability analysis of rational function models is given. (C) 2001 Elsevier Science Inc. All rights reserved.

Item Type: Journal Article
Subjects: Q Science > QH Natural history > QH301 Biology
Journal or Publication Title: MATHEMATICAL BIOSCIENCES
Publisher: ELSEVIER SCIENCE INC
ISSN: 0025-5564
Date: November 2001
Volume: 174
Number: 1
Number of Pages: 26
Page Range: pp. 1-26
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/11610

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