Structural and Global Identifiability of Parametrized Rational Systems

The properties of a parametrized system such as structural and global identifiability provide information whether the parameters of the system can be determined uniquely. Therefore, verifying at least one of these properties preceeds determination of numerical values of the parameters. In this paper we derive necessary and sufficient conditions for a parametrized rational system to be structurally or globally identifiable. We also formulate the corresponding conditions for parametrized polynomial systems. The results are applied to study the identifiability properties of the system modeling a chain of two enzyme-catalyzed irreversible reactions.