Pharmacodynamic models analysed by structural identifiability analysis 38
Parameter identifiability of fundamental pharmacodynamic models
... that structural identifiability is a prerequisite, but not a guarantee, for successful parameter estimation and practical parameter ...This analysis was performed by generating artificial data of ...
13
Structural identifiability for mathematical pharmacology : models of myelosuppression
... four models are identifiable under certain simplifying ...the models and some empirical observations of parameter estimation ...structural identifiability. Some issues still exist with current ...
18
Structural identifiability and indistinguishability in mixed effects models
... tural identifiability analysis was demonstrated by attempting to estimate parameters using a structurally unidentifiable model, Figure ...performing structural identifiability analysis ...
245
Structural identifiability of large systems biology models
... numerical identifiability analysis. This analysis is tasked with spotting possible unidentifiable parameters and detecting both the number of totally correlated sets as well as which parameters ...
185
Extending existing structural identifiability analysis methods to mixed effects models
... of structural identifiability for state-space models is expanded to cover mixed-effects state-space ...the structural identifiability of mixed-effects models are ...effects ...
33
Structural identifiability and indistinguishability analyses of glucose insulin models
... the structural identifiability analyses of established and novel glucose-insulin models was performed, to determine whether the models are globally structurally identifiable with the ...
227
Structural identifiability of equivalent circuit models for Li Ion batteries
... was analysed using the Taylor series method, as all the other approaches cannot be utilised on models with non-polynomial terms such as ...remaining models were analysed using all three ...
17
Structural identifiability in mixed effects models : two different approaches
... Abstract: Structural identifiability analysis is a theoretical concept that ascertains whether unknown model parameters can be uniquely determined for a given experimental ...Therefore, ...
7
Structural identifiability analysis via symmetries of differential equations
... of models (for ex- ample nonlinear state space models) might be classified by the Lie algebras that act upon the observation in a trivial ...hence structural identifiability analysis ...
12
Structural identifiability analyses of candidate models for in vitro Pitavastatin hepatic uptake
... 512996. models are proposed to characterise the uptake ...the models derived, as in most biomedical systems modelling, the model parameters have biological meaning and it is desired to establish whether it ...
11
Input dependent structural identifiability of nonlinear systems
... latter models are nonlinear and non-rational in structure, which makes their symbolic analysis more ...detailed analysis of the bioprocess model, which is provided as Supplementary Information due to ...
7
Indistinguishability and identifiability of kinetic models for the MurC reaction in peptidoglycan biosynthesis
... pathway models or biological mechanisms. In this paper analysis is performed between two different models describing the kinetic mechanism of a three-substrate three-product reaction, namely the MurC ...
33
On the identifiability of steady-state induction machine models using external measurements
... the identifiability issue has received considerable attention in a number of fields including statics, economics, system engineering, and mathematical biology [19, ...The identifiability of induction ...
9
Structural Properties of Dynamic Systems Biology Models: Identifiability, Reachability, and Initial Conditions
... 3.5.2. Finding Solutions via Optimization An alternative, generally applicable way of answering this question is by formulating it as an optimization problem. In it, the decision variables are the system states, and the ...
16
Identifiability and Minimality in Rational Models
... the analysis of mul- tivariate time ...matrix models, study the possible pairs of minimum orders, recognize the exchangeable mod- els that might exist and detect identifiable and non-identifiable ...
13
Structural identifiability of polynomial and rational systems
... of structural algebraic controllabil- ity, structural algebraic observability, and structural canonicity by a slight modification of the corresponding notions for polynomial and rational sys- tems ...
38
On the Identifiability of Transmission Dynamic Models for Infectious Diseases
... dynamic models presents two challenges: (1) the likelihood function of the models is generally not computable, and computationally intensive simulation-based inference methods need to be employed, and (2) ...
14
Parameter Redundancy and Identifiability in Hidden Markov Models
... This method can be used to get results for any T using the Extension Theorem, and can also give estimable parameter combinations in non-identifiable models. Although a symbolic method exists for distinguishing ...
15
Consistency and identifiability of the polymorphism aware phylogenetic models
... substitution models have been proposed. The polymorphism-aware phylogenetic models (PoMo) are such an ex- ample of an alternative approach for tree estimation that also ac- counts for incomplete lineage ...
6
Identifiability in penalized function-on-function regression models
... Results Identifiability The estimation accuracy for ˆ Y (t) (not shown) is excellent across the board even for the very noisy settings, with a maximal relative integrated mean square error of ...Further ...
21