Results towards identifiability properties of biochemical reaction networks

Farina, M. and Findeisen, R. and Bullinger, Eric and Bittanti, S. and Allgöwer, F. and Wellstead, P. (2006) Results towards identifiability properties of biochemical reaction networks. In: 45th IEEE Conference on Decision and Control, 2006-12-13 - 2006-12-15.

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In this paper we consider the question of parameter identifiability for biochemical reaction networks, as typically encountered in systems biology. Specifically, we are interested in deriving conditions on the biochemical reaction network and on the measured outputs that guarantee identifiability of the parameters. Taking the specific system structure of biochemical reaction networks into account, we derive sufficient conditions for local parameter identifiability based on a suitable system expansion which does not any more directly depend on the parameters. Rather, as shown, the problem of identifiability can be recast as the question of observability of the (parameter free) expanded system. The conditions derived are exemplified considering a simple example.