Structural identifiability for a class of non-linear compartmental systems using linear/ non-linear splitting and symbolic computation

DOI10.1016/S0025-5564(02)00223-7zbMath1011.92001OpenAlexW2040767526WikidataQ51639760 ScholiaQ51639760MaRDI QIDQ1873134

Keith R. Godfrey, Michael J. Chapman, Michael J. Chappell, Neil D. Evans

Publication date: 19 May 2003

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0025-5564(02)00223-7

zbMATH Keywords

nonlinear systemssymbolic computationpharmacokineticscompartmental modelsstructural identifiability

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) General biology and biomathematics (92B05) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (4)

Structural identifiability of polynomial and rational systems ⋮ Validation of simulation models without knowledge of parameters using differential algebra ⋮ Cellular signaling identifiability analysis: a case study ⋮ Identification of an anticancerous drug model in brain tissues using Adomian/Alienor methods

Cites Work

• Similarity transformation approach to identifiability analysis of nonlinear compartmental models
• Nonlinear control systems: An introduction
• Some extensions to the exhaustive-modeling approach to structural identifiability
• System identifiability based on the power series expansion of the solution
• On global identifiability for arbitrary model parametrizations
• Global identifiability of the parameters of nonlinear systems with specified inputs: A comparison of methods
• Global approaches to identifiability testing for linear and nonlinear state space models
• Identifiability of uncontrolled nonlinear rational systems
• New results for identifiability of nonlinear systems
• Existence and uniqueness of minimal realizations of nonlinear systems
• Nonlinear controllability and observability
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