Identifiability of parametric models
Identifiability of parametric models
Algorithmic algebra
On global identifiability for arbitrary model parametrizations
Automatica (Journal of IFAC)
The numerical solution of delay-differential-algebraic equations of retarded and neutral type
SIAM Journal on Numerical Analysis
On the identifiability of the time delay with least-squares methods
Automatica (Journal of IFAC)
Journal of Symbolic Computation
System identification (2nd ed.): theory for the user
System identification (2nd ed.): theory for the user
Mathematical Analysis of HIV-1 Dynamics in Vivo
SIAM Review
Essential components of an algebraic differential equation
Journal of Symbolic Computation - Special issue on differential algebra and differential equations
Some effective approaches to check the identifiability of uncontrolled nonlinear systems
Mathematics and Computers in Simulation
Nonlinear Control Systems
Nonlinear and Optimal Control Systems
Nonlinear and Optimal Control Systems
Modern Control Systems Analysis and Design: Analysis and Design
Modern Control Systems Analysis and Design: Analysis and Design
Improved Kolchin–Ritt Algorithm
Programming and Computing Software
Handbook of Computational Molecular Biology (Chapman & All/Crc Computer and Information Science Series)
Automatica (Journal of IFAC)
Parametric and nonparametric curve fitting
Automatica (Journal of IFAC)
Paper: Connectability and structural controllability of composite systems
Automatica (Journal of IFAC)
Parameter identifiability of nonlinear systems: the role of initial conditions
Automatica (Journal of IFAC)
Position Paper: A general framework for Dynamic Emulation Modelling in environmental problems
Environmental Modelling & Software
Computer Methods and Programs in Biomedicine
Identification and experimental validation of an HIV model for HAART treated patients
Computer Methods and Programs in Biomedicine
Identifiable reparametrizations of linear compartment models
Journal of Symbolic Computation
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Ordinary differential equations (ODEs) are a powerful tool for modeling dynamic processes with wide applications in a variety of scientific fields. Over the last two decades, ODEs have also emerged as a prevailing tool in various biomedical research fields, especially in infectious disease modeling. In practice, it is important and necessary to determine unknown parameters in ODE models based on experimental data. Identifiability analysis is the first step in determining unknown parameters in ODE models and such analysis techniques for nonlinear ODE models are still under development. In this article, we review identifiability analysis methodologies for nonlinear ODE models developed in the past couple of decades, including structural identifiability analysis, practical identifiability analysis, and sensitivity-based identifiability analysis. Some advanced topics and ongoing research are also briefly reviewed. Finally, some examples from modeling viral dynamics of HIV and influenza viruses are given to illustrate how to apply these identifiability analysis methods in practice.