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Dynamical compensation (DC) has been recently defined as the ability of abiological system to keep its output dynamics unchanged in the face of varyingparameters. This concept is purported to describe a design principle thatprovides robustness to physiological circuits. Here we note the similitudebetween DC and Structural Identifiability (SI), and we argue that the formercan be explained in terms of (lack of) the latter. We propose to exploit thisfact by using currently existing tools for SI analysis to perform DC analysis.We demonstrate the feasibility of this approach with four physiologicalcircuits, for which we confirm the correspondence between DC and lack of SI. Wealso warn that care should we taken when using an unidentifiable model toextract biological insight, since lack of SI can be the result of aninappropriate choice of model structure and therefore not necessarily a sign ofbiological robustness.

Dynamical compensation in biological systems as a particular case of structural non-identifiability