Structural Identifiability analysis of Mixed-Effects Mod-
Structural identifiability and indistinguishability in mixed effects models
... There are a several advantages of using mathematical modelling when devel- oping new pharmaceutical drugs. Firstly, modelling can be used to characterise the properties of a drug. With the use of modelling and ...
245
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 ...
33
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
... A Lie group approach is demonstrated that potentially may be extended to the case of systems of partial dif- ferential equations (PDEs). This generalisation may be possible because Lie symmetries of such systems are well ...
12
Structural identifiability for mathematical pharmacology : models of myelosuppression
... structural identifiability. Some issues still exist with current analysis techniques due to the complexity of mathematical expressions relating parameters to the input-output behaviour of the ...
18
Structural identifiability and indistinguishability analyses of glucose insulin models
... time-varying effects, involving different levels of the hierarchy of molecules, cells, organs and organisms and in most cases, the measurements obtained generally do not directly give information on the targeted ...
227
Structural identifiability analyses of candidate models for in vitro Pitavastatin hepatic uptake
... the mod- els to ascertain those most suitable for predictive purposes, it is a necessary requirement to first ask “do the observations uniquely determine the unknown model ...for structural identifi- ability ...
11
Structural analysis with mixed-frequency data : a model of US capital flows
... different effects depending on their timing within the quarter explains the evidence reported in the Technical Supplement for the quarterly VAR that monetary policy has no (or at most very weak) impact on capital ...
40
Performance of mixed effects models in the analysis of mediated longitudinal data
... Linear mixed effects models (LMMs) are a common approach for analyzing longitudinal data in a variety of ...as structural equation models (SEMs), which have obvious appeal in such ...
11
Nonlinear mixed-effects models for pharmacokinetic data analysis: assessment of the random-effects distribution
... linear mixed mod- els only and in the presence of a single random ef- ...nonlinear mixed-effects models, especially with mul- tiple random effects, which are common in pharma- ...
11
Structural identifiability of surface binding reactions involving heterogeneous analyte : application to surface plasmon resonance experiments
... e Transplant Unit, University Hospitals Coventry and Warwickshire NHS Trust, Clifford Bridge Road, Coventry CV2 2DX UK Abstract Binding affinities are useful measures of target interaction and have an important role in ...
14
Identifiability and Minimality in Rational Models
... the analysis of mul- tivariate time series. The effects of such an application allowed us to characterize rational matrix models, study the possible pairs of minimum orders, recognize the exchangeable ...
13
Mixed-effects model for the spatiotemporal analysis of longitudinal manifold-valued data
... particular, mixed-effects mod- els, which include fixed and random effects, have a hierarchical structure which allows us to describe the model at the group and subjects ...
14
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
Identifiability of Path-Specific Effects
... Furthermore, certain interesting questions cannot be phrased in terms of either direct or indirect natural effects. For example we might be interested in the interactions be- tween antibiotics and AZT that ...
7
Input dependent structural identifiability of nonlinear systems
... Input-Dependent Structural Identifiability of Nonlinear Systems Alejandro ...output. Structural identifiability depends on the system dynamics, output, and input, as well as on the specific ...
7
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
Structural identifiability of equivalent circuit models for Li Ion batteries
... Abstract: Structural identifiability is a critical aspect of modelling that has been overlooked in the vast majority of Li-ion battery modelling ...ascertain structural identifiability are ...
17
On the description and identifiability analysis of experiments with mixtures
... retaining identifiability, strongly resembles the algebraic FGLM and Gr¨ obner walk algorithms Faug`ere et ...exemplifying analysis of two data sets is ...
42
Identifiability Analysis of Inverse Problems in Biology
... HIV, Identifiability, Sensitivity-based analysis, Orthogonal method, Eigenvalue ...sensitivity-based identifiability analysis of parameters for mathematical models described by systems of ...
5