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TitleAlternative to Ritt’s pseudodivision for finding the input-output equations of multi-output models
Author(s) Chris Anderson, Jeffrey David J., Nicolette Meshkat
TypeArticle in Journal
AbstractDifferential 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 Gröbner 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 several biosystem model examples.
KeywordsIdentifiability, Differential algebra, Gröbner basis, Ritt’s pseudodivision
ISSN0025-5564
URL http://www.sciencedirect.com/science/article/pii/S0025556412000958
LanguageEnglish
JournalMathematical Biosciences
Volume239
Number1
Pages117 - 123
Year2012
Edition0
Translation No
Refereed No
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