More Efficient Identifiability Verification in ODE Models by Reducing Non-Identifiability
Ilia Ilmer, Alexey Ovchinnikov, Gleb Pogudin, Pedro Soto

TL;DR
This paper introduces a method to speed up the process of verifying parameter identifiability in ODE models by removing non-identifiable parameters, enhancing computational efficiency.
Contribution
It proposes a novel algebraic approach to eliminate non-identifiable parameters, improving the speed of global identifiability verification in ODE models.
Findings
Significant performance improvements across multiple computer algebra systems.
Effective elimination of algebraically independent non-identifiable parameters.
Enhanced efficiency in identifiability analysis workflows.
Abstract
Structural global parameter identifiability indicates whether one can determine a parameter's value from given inputs and outputs in the absence of noise. If a given model has parameters for which there may be infinitely many values, such parameters are called non-identifiable. We present a procedure for accelerating a global identifiability query by eliminating algebraically independent non-identifiable parameters. Our proposed approach significantly improves performance across different computer algebra frameworks.
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Taxonomy
TopicsFormal Methods in Verification · Advanced Control Systems Optimization · Modeling and Simulation Systems
