Alternative to Ritt's Pseudodivision for finding the input-output equations in algebraic structural identifiability analysis
Algebraic Geometry
2012-03-21 v1
Abstract
Differential algebra approaches to structural identifiability analysis of a dynamic system model in many instances heavily depend upon Ritt's pseudodivision at an early step in analysis. The pseudodivision algorithm is used to find the characteristic set, of which a subset, the input-output equations, is used for identifiability analysis. A simpler algorithm is proposed for this step, using Gr\"obner Bases, along with a proof of the method that includes a reduced upper bound on derivative requirements. Efficacy of the new algorithm is illustrated with two biosystem model examples.
Cite
@article{arxiv.1203.4485,
title = {Alternative to Ritt's Pseudodivision for finding the input-output equations in algebraic structural identifiability analysis},
author = {Nicolette Meshkat and Chris Anderson and Joseph J. DiStefano},
journal= {arXiv preprint arXiv:1203.4485},
year = {2012}
}
Comments
17 pages