Speaker: Jana Nemcova (CWI)
Title: Identifiability of Parametrizations of Rational Systems

Abstract
The motivation to investigate system identification of rational systems is the use of these systems as models of phenomena in life sciences, in particular in systems biology. For example, they occur as models of metabolic, genetic, and signaling networks. Since analysis and simulation of biological phenomena require the availability of their fully specified models, one needs to be able to estimate the parameters of the models which are not fully determined.

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

Date: 16 april
Time: 13:00 - 14:00
Location: M279, CWI