Weak identifiability for differential algebraic systems

Abstract

We introduce a new notion of parameter identifiability for ODE systems following a multi-experiment approach. We show that a system that is identifiable according to previous well-known notions is also identifiable with our definition, but that the converse is not always true. In this sense, we speak of weak identifiability. We provide finite criteria to check weak identifiability and present algorithms that decide whether a system is weakly identifiable or not.