Differential elimination for dynamical models via projections with applications to structural identifiability

R Dong, C Goodbrake, HA Harrington… - SIAM Journal on Applied …, 2023 - SIAM
Elimination of unknowns in a system of differential equations is often required when
analyzing (possibly nonlinear) dynamical systems models, where only a subset of variables …

Structural identifiability analysis of age-structured PDE epidemic models

M Renardy, D Kirschner, M Eisenberg - Journal of Mathematical Biology, 2022 - Springer
Computational and mathematical models rely heavily on estimated parameter values for
model development. Identifiability analysis determines how well the parameters of a model …

Computing all identifiable functions of parameters for ODE models

A Ovchinnikov, A Pillay, G Pogudin, T Scanlon - Systems & Control Letters, 2021 - Elsevier
Parameter identifiability is a structural property of an ODE model for recovering the values of
parameters from the data (ie, from the input and output variables). This property is a …

Input-output equations and identifiability of linear ODE models

A Ovchinnikov, G Pogudin… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Structural identifiability is a property of a differential model with parameters that allows for
the parameters to be determined from the model equations in the absence of noise. The …

Algorithm for globally identifiable reparametrizations of ODEs

S Falkensteiner, A Ovchinnikov, JR Sendra - Journal of Symbolic …, 2025 - Elsevier
Structural global parameter identifiability indicates whether one can determine a parameter's
value in an ODE model from given inputs and outputs. If a given model has parameters for …

Multi-experiment parameter identifiability of ODEs and model theory

A Ovchinnikov, A Pillay, G Pogudin, T Scanlon - SIAM Journal on Applied …, 2022 - SIAM
Structural identifiability is a property of an ODE model with parameters that allows for the
parameters to be determined from continuous noise-free data. This is a natural prerequisite …

Algebraic identifiability of partial differential equation models

H Byrne, H Harrington, A Ovchinnikov… - arXiv preprint arXiv …, 2024 - arxiv.org
Differential equation models are crucial to scientific processes. The values of model
parameters are important for analyzing the behaviour of solutions. A parameter is called …

[PDF][PDF] Algorithm to find new identifiable reparametrizations of parametric rational ODE models

A Ovchinnikova, N Meshkatb… - arXiv preprint arXiv …, 2024 - math.berkeley.edu
Structural identifiability concerns the question of which unknown parameters of a model can
be recovered from (perfect) inputoutput data. If all of the parameters of a model can be …

Algebra, geometry and topology of ERK kinetics

L Marsh, E Dufresne, HM Byrne… - Bulletin of Mathematical …, 2022 - Springer
The MEK/ERK signalling pathway is involved in cell division, cell specialisation, survival and
cell death (Shaul and Seger in Biochim Biophys Acta (BBA)-Mol Cell Res 1773 (8): 1213 …

An Algebraic Approach to Identifiability

D Gerbet, K Röbenack - Algorithms, 2021 - mdpi.com
This paper addresses the problem of identifiability of nonlinear polynomial state-space
systems. Such systems have already been studied via the input-output equations, a …