Evaluating the structural identifiability of the parameters of the EBPR sub-model in ASM2d by the differential algebra method

2010 ◽  
Vol 44 (9) ◽  
pp. 2815-2822 ◽  
Author(s):  
Tian Zhang ◽  
Daijun Zhang ◽  
Zhenliang Li ◽  
Qing Cai
Keyword(s):  
Differential Algebra ◽  
Structural Identifiability ◽  
Algebra Method

scholarly journals Set-membership identifiability of nonlinear models and related parameter estimation properties

2016 ◽  
Vol 26 (4) ◽  
pp. 803-813 ◽  
Author(s):  
Carine Jauberthie ◽  
Louise Travé-MassuyèEs ◽  
Nathalie Verdière
Keyword(s):  
Mathematical Model ◽  
Parameter Estimation ◽  
Dynamic System ◽  
Nonlinear Models ◽  
Differential Algebra ◽  
Related Parameter ◽  
Set Membership ◽  
Estimation Problems ◽  
The Mathematical Model

Abstract Identifiability guarantees that the mathematical model of a dynamic system is well defined in the sense that it maps unambiguously its parameters to the output trajectories. This paper casts identifiability in a set-membership (SM) framework and relates recently introduced properties, namely, SM-identifiability, μ-SM-identifiability, and ε-SM-identifiability, to the properties of parameter estimation problems. Soundness and ε-consistency are proposed to characterize these problems and the solution returned by the algorithm used to solve them. This paper also contributes by carefully motivating and comparing SM-identifiability, μ-SM-identifiability and ε-SM-identifiability with related properties found in the literature, and by providing a method based on differential algebra to check these properties.

scholarly journals Structural identifiability analyses of candidate models for in vitro Pitavastatin hepatic uptake

2014 ◽  
Vol 114 (3) ◽  
pp. e60-e69 ◽  
Author(s):  
Thomas R.B. Grandjean ◽  
Michael J. Chappell ◽  
James W.T. Yates ◽  
Neil D. Evans
Keyword(s):  
Hepatic Uptake ◽  
Structural Identifiability
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