Structural identifiability for a class of non-linear compartmental systems using linear/non-linear splitting and symbolic computation
Abstract
Under certain controllability and observability restrictions, two different parameterisations for a non-linear 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.
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Relatively few techniques are available for structural identifiability analysis of nonlinear systems, and significant symbolic computational problems can arise even for relatively simple models.
“In comparison, there are relatively few techniques available for nonlinear systems, and significant (symbolic) computational problems can arise, even for relatively simple models.49, 50, 51”
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An iterative identification procedure for dynamic modeling of biochemical networks
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- Authors
- Chapman, M. J., Godfrey, K. R., Chappell, M. J., & Evans, N. D.
- Affiliations
- Coventry University (GB)
- University of Warwick (GB)
- Corresponding author
- Chapman, Michael J.
- Venue
- Mathematical Biosciences
- Publisher
- Elsevier BV
- Published
- 2003-05
- Volume
- 183
- Issue
- 1
- Pages
- 1-14
- ISSN
- 0025-5564 (ISSN-L)
- OpenAlex
- W2040767526
- Cited by
- 36
- References
- 21
- Citations by year
- 2024: 1 · 2023: 1 · 2021: 1 · 2020: 1 · 2019: 1 · 2018: 2 · 2016: 1 · 2015: 2 · 2013: 2
- FWCI
- 2.78
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Mathematical Biosciences (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Control Systems and Identification
- Physical Sciences › Mathematics › Modeling and Simulation › Mathematical and Computational Methods
- Physical Sciences › Mathematics › Applied Mathematics › Statistical and numerical algorithms
- Keywords
- structural identifiability, linear analysis, symbolic computation, input-output equivalence, parameterization, controllability and observability
- MeSH terms
- Algorithms, Body Fluid Compartments, Models, Biological, Pharmacokinetics, Software, Linear Models, Nonlinear Dynamics
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