UNSPECIFIED (2003) Structural identifiability for a class of non-linear compartmental systems using linear/non-linear splitting and symbolic computation. MATHEMATICAL BIOSCIENCES, 183 (1). pp. 1-14. ISSN 0025-5564

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Abstract

Under certain controllability and observability restrictions, two different parameterisations for a nonlinear compartmental model can only have the same input-output behaviour if they differ by a locally diffeomorphic change of basis for the state space. With further restrictions, it is possible to gain valuable information with respect to identifiability via a linear analysis. Examples are presented where non-linear identifiability analyses are substantially simplified by means of an initial linear analysis. For complex models, with four or more compartments, this linear analysis can prove lengthy to perform by hand and so symbolic computation has been employed to aid this procedure. (C) 2003 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:	May 2003
Volume:	183
Number:	1
Number of Pages:	14
Page Range:	pp. 1-14
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/9892

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