Alternative to Ritt's pseudodivision for finding the input-output equations of multi-output models
type: Item
instance of: scholarly article
title: Alternative to Ritt's pseudodivision for finding the input-output equations of multi-output models
zbMATH Open document ID: 1320.93035
author: Nicolette Meshkat
author: Joseph J. III DiStefano
author: Chris Anderson
published in: Mathematical Biosciences
publication date: 2012-09-18T00:00:00Z
full work available at URL: https://arxiv.org/abs/1203.4485
Mathematics Subject Classification ID: 93B30
Mathematics Subject Classification ID: 34A55
zbMATH DE Number: 6083712
zbMATH Keywords: identifiability
zbMATH Keywords: differential algebra
zbMATH Keywords: Gröbner basis
zbMATH Keywords: Ritt's pseudodivision
Wikidata QID: Q51364080
describes a project that uses: DAISY
describes a project that uses: diffgrob2
MaRDI profile type: Publication
OpenAlex ID: W2009094692
arXiv ID: 1203.4485
cites work: On global identifiability for arbitrary model parametrizations
cites work: Q4229097
cites work: Essential components of an algebraic differential equation
cites work: An algorithm for finding globally identifiable parameter combinations of nonlinear ODE models using Gröbner bases
cites work: Finding identifiable parameter combinations in nonlinear ODE models and the rational reparameterization of their input-output equations
cites work: On Identifiability of Nonlinear ODE Models and Applications in Viral Dynamics
cites work: Q5795628
cites work: Q5680222
cites work: Parameter identifiability of nonlinear systems: The role of initial conditions.
cites work: Improved Kolchin-Ritt algorithm
cites work: Extensions to a procedure for generating locally identifiable reparameterisations of unidentifiable systems
cites work: Q4747970
DOI: 10.1016/J.MBS.2012.04.008
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description: scientific article; zbMATH DE number 6083712