title: Alternative to Ritt's pseudodivision for finding the input-output equations of multi-output models.
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 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.
authors.affiliation: UCLA, Department of Mathematics, Los Angeles, CA 90095, United States. nmeshkat@math.ucla.edu
authors.forename: Nicolette
authors.initials: N
authors.lastname: Meshkat
authors.forename: Chris
authors.initials: C
authors.lastname: Anderson
authors.forename: Joseph J
authors.initials: JJ
authors.lastname: DiStefano
mesh_terms: D000465:Algorithms; D015658:HIV Infections / Q000453:epidemiology; D006801:Humans; D007251:Influenza, Human / Q000453:epidemiology; D008962:Models, Theoretical; D012984:Software; D013448:Sulfobromophthalein / Q000493:pharmacokinetics
chemical_list: D013448:Sulfobromophthalein