Alternative to Ritt's pseudodivision for finding the input-output equations of multi-output models

DOI10.1016/j.mbs.2012.04.008zbMath1320.93035arXiv1203.4485OpenAlexW2009094692WikidataQ51364080 ScholiaQ51364080MaRDI QIDQ453072

Joseph J. III DiStefano, Nicolette Meshkat, Chris K. Anderson

Publication date: 18 September 2012

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.4485

zbMATH Keywords

Gröbner basisdifferential algebraidentifiabilityRitt's pseudodivision

Mathematics Subject Classification ID

System identification (93B30) Inverse problems involving ordinary differential equations (34A55)

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Uses Software

• DAISY
• diffgrob2

Cites Work

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• Finding identifiable parameter combinations in nonlinear ODE models and the rational reparameterization of their input-output equations
• On global identifiability for arbitrary model parametrizations
• Improved Kolchin-Ritt algorithm
• Extensions to a procedure for generating locally identifiable reparameterisations of unidentifiable systems
• Parameter identifiability of nonlinear systems: The role of initial conditions.
• Essential components of an algebraic differential equation
• An algorithm for finding globally identifiable parameter combinations of nonlinear ODE models using Gröbner bases
• On Identifiability of Nonlinear ODE Models and Applications in Viral Dynamics

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