Extends structural identifiability analysis to functional components of differential equation models and characterizes conditions for unique recovery using differential algebra techniques.
On structural and practical identifiability
7 Pith papers cite this work. Polarity classification is still indexing.
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Proposes adaptive multiple importance sampling for robust Bayesian model evidence estimation under parameter non-identifiability, shown to outperform deterministic methods on ecological case studies while being cheaper than MCMC.
Introduces local information operators that separate pointwise visibility from spatial identifiability via linearized Fisher information and sensitivity Gramians in distributed-parameter inverse problems.
Trajectory data resolves structural non-identifiability in lattice random walk diffusion models that count data alone cannot, with analysis of experimental design impacts on practical identifiability.
Modeling three labels in five-label lipid metabolism experiments balances parameter estimation accuracy, trajectory recovery, and computational cost better than using one or all labels.
Simulation study finds 5-state multistate models for MCED data perform similarly to 3-state models in robustness while 9-state models lose identifiability and precision, with hierarchical models and informative priors offering partial improvements.
A tutorial on using StructuralIdentifiability.jl to assess local and global identifiability in ODE models with examples from epidemiology, pharmacokinetics, and systems biology.
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Local Information Operators for Spatial Identifiability in Distributed-Parameter Inverse Problems in Computational Mechanics
Introduces local information operators that separate pointwise visibility from spatial identifiability via linearized Fisher information and sensitivity Gramians in distributed-parameter inverse problems.