Details:
Title  Alternative to Ritt’s pseudodivision for finding the inputoutput equations of multioutput models  Author(s)  Chris Anderson, Jeffrey David J., Nicolette Meshkat  Type  Article in Journal  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 inputoutput 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.  Keywords  Identifiability, Differential algebra, Gröbner basis, Ritt’s pseudodivision  ISSN  00255564 
URL 
http://www.sciencedirect.com/science/article/pii/S0025556412000958 
Language  English  Journal  Mathematical Biosciences  Volume  239  Number  1  Pages  117  123  Year  2012  Edition  0  Translation 
No  Refereed 
No 
