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Structural identifiability for a class of non-linear compartmental systems using linear/non-linear splitting and symbolic computation
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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. doi:10.1016/S0025-5564(02)00223-7
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Official URL: http://dx.doi.org/10.1016/S0025-5564(02)00223-7
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 | ||||
| Official Date: | May 2003 | ||||
| Dates: |
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| Volume: | 183 | ||||
| Number: | 1 | ||||
| Number of Pages: | 14 | ||||
| Page Range: | pp. 1-14 | ||||
| Identifier: | 10.1016/S0025-5564(02)00223-7 | ||||
| Publication Status: | Published |
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