An algorithm for finding globally identifiable parameter combinations of nonlinear ODE models using Gröbner bases
From MaRDI portal
Publication:2654368
DOI10.1016/j.mbs.2009.08.010zbMath1179.93066OpenAlexW2141494429WikidataQ51795036 ScholiaQ51795036MaRDI QIDQ2654368
Joseph J. III DiStefano, Nicolette Meshkat, Marisa C. Eisenberg
Publication date: 15 January 2010
Published in: Mathematical Biosciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mbs.2009.08.010
System identification (93B30) Geometric methods (93B27) Control/observation systems governed by ordinary differential equations (93C15)
Related Items (28)
On the Existence of Identifiable Reparametrizations for Linear Compartment Models ⋮ Computing human to human avian influenza \(\mathcal{R}_0\) via transmission chains and parameter estimation ⋮ Structural and practical identifiability issues of immuno-epidemiological vector-host models with application to Rift Valley Fever ⋮ An efficient procedure to assist in the re-parametrization of structurally unidentifiable models ⋮ Differential Elimination for Dynamical Models via Projections with Applications to Structural Identifiability ⋮ A solution to the global identification problem in DSGE models ⋮ Structural identifiability analysis of epidemic models based on differential equations: a tutorial-based primer ⋮ Profile likelihood-based parameter and predictive interval analysis guides model choice for ecological population dynamics ⋮ An information-theoretic approach to assess practical identifiability of parametric dynamical systems ⋮ Observability and structural identifiability of nonlinear biological systems ⋮ An algebraic approach to Hough transforms ⋮ Weak identifiability for differential algebraic systems ⋮ Alternative to Ritt's pseudodivision for finding the input-output equations of multi-output models ⋮ Finding identifiable parameter combinations in nonlinear ODE models and the rational reparameterization of their input-output equations ⋮ Determining identifiable parameter combinations using subset profiling ⋮ A systematic approach for doing an a priori identifiability study of dynamical nonlinear models ⋮ A minimal model of T cell avidity may identify subtherapeutic vaccine schedules ⋮ Symbolic analysis of multiple steady states in a MAPK chemical reaction network ⋮ Identifiable reparametrizations of linear compartment models ⋮ Identifiability from a few species for a class of biochemical reaction networks ⋮ The core control system of intracellular iron homeostasis: a mathematical model ⋮ A geometric method for model reduction of biochemical networks with polynomial rate functions ⋮ Computing all identifiable functions of parameters for ODE models ⋮ Structural identifiability analysis of age-structured PDE epidemic models ⋮ Algebra, geometry and topology of ERK kinetics ⋮ A computational approach to the structural analysis of uncertain kinetic systems ⋮ Robust global identifiability theory using potentials -- application to compartmental models ⋮ Identifiability and estimation of multiple transmission pathways in cholera and waterborne disease
Uses Software
Cites Work
- Computing representations for radicals of finitely generated differential ideals
- System identifiability based on the power series expansion of the solution
- A procedure for generating locally identifiable reparametrisations of unidentifiable nonlinear systems by the similarity transformation approach
- On global identifiability for arbitrary model parametrizations
- Equivalence and identifiability analysis of uncontrolled nonlinear dynamical systems.
- Extensions to a procedure for generating locally identifiable reparameterisations of unidentifiable systems
- Global identifiability of the parameters of nonlinear systems with specified inputs: A comparison of methods
- Using Gröbner bases to determine algebra membership, split surjective algebra homomorphisms determine birational equivalence
- Parameter identifiability of nonlinear systems: The role of initial conditions.
- Mathematical Structures of Epidemic Systems
- On parameter and structural identifiability: Nonunique observability/reconstructibility for identifiable systems, other ambiguities, and new definitions
- Some effective approaches to check the identifiability of uncontrolled nonlinear systems
- Differential algebra methods for the study of the structural identifiability of rational function state-space models in the biosciences
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: An algorithm for finding globally identifiable parameter combinations of nonlinear ODE models using Gröbner bases