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Alternative to Ritt's pseudodivision for finding the input-output equations of multi-output models
Nicolette Meshkat1, Chris Anderson, Joseph J DiStefano
1UCLA, Department of Mathematics, Los Angeles, CA 90095, United States. nmeshkat@math.ucla.edu
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.
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