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Differential algebra approaches to structural identifiability analysis of adynamic system model in many instances heavily depend upon Ritt'spseudodivision at an early step in analysis. The pseudodivision algorithm isused to find the characteristic set, of which a subset, the input-outputequations, is used for identifiability analysis. A simpler algorithm isproposed for this step, using Gr\"obner Bases, along with a proof of the methodthat includes a reduced upper bound on derivative requirements. Efficacy of thenew algorithm is illustrated with two biosystem model examples.

Alternative to Ritt's Pseudodivision for finding the input-output equations in algebraic structural identifiability analysis