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bioRxiv · 10.1101/123489

A Note On Dynamical Compensation And Its Relation To Parameter Identifiability

Karin, O.·Alon, U.·Sontag, E.
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Abstract

We recently identified a motif for dynamical compensation (DC) - a property where a system maintains the dynamics and steady-state of a regulated variable robust in the face of fluctuations in key parameters. Such parameters are therefore unidentifiable from measurements of the regulated variable at steady-state. On the other hand, since the models showing dynamical compensation are typically non-redundant, their parameters are identifiable from experimental data. We clarify this apparent discrepancy by requiring that the parameters of DC circuits be identifiable both away from steady-state and when measuring other system variables. We use this observation to provide a definition for DC in terms of parameter identifiability and discuss its relevance for the examples provided in Karin et al.

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Karin, O., Alon, U., Sontag, E.. 2017-04-03. A Note On Dynamical Compensation And Its Relation To Parameter Identifiability. https://doi.org/10.1101/123489

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