Weak identifiability for differential algebraic systems

DOI10.1016/j.aam.2023.102519OpenAlexW4361213807MaRDI QIDQ2701024

Gabriela Jeronimo, Pablo Solernó

Publication date: 27 April 2023

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2023.102519

zbMATH Keywords

differential-algebraic systemsstructural identifiabilitymulti-experimental approachsymbolic algorithms and complexity

Mathematics Subject Classification ID

System identification (93B30) Algebraic methods (93B25) Differential algebra (12H05) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)

Uses Software

• Kronecker
• DAISY

Cites Work

• Computing the equidimensional decomposition of an algebraic closed set by means of lifting fibers
• A geometric index reduction method for implicit systems of differential algebraic equations
• Identifiability of chemical reaction networks
• System identifiability based on the power series expansion of the solution
• An effective algorithm for quantifier elimination over algebraically closed fields using straight line programs
• On global identifiability for arbitrary model parametrizations
• Straight-line programs in geometric elimination theory
• Parameter identifiability of nonlinear systems: The role of initial conditions.
• Identifiability from a few species for a class of biochemical reaction networks
• A promenade through correct test sequences. I: Degree of constructible sets, Bézout's inequality and density
• Computing all identifiable functions of parameters for ODE models
• On the complexity of the resolvent representation of some prime differential ideals
• Associative differential operations
• An algorithm for finding globally identifiable parameter combinations of nonlinear ODE models using Gröbner bases
• Fast Probabilistic Algorithms for Verification of Polynomial Identities
• Algebraic Tools for the Analysis of State Space Models
• Multi-experiment Parameter Identifiability of ODEs and Model Theory
• Global Identifiability of Differential Models
• A probabilistic algorithm to test local algebraic observability in polynomial time
• A Gröbner free alternative for polynomial system solving
• Input-Output Equations and Identifiability of Linear ODE Models
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Weak identifiability for differential algebraic systems