Analyzing stationary states of gene regulatory network using Petri nets
Anna Gambin, Sławomir Lasota and Michał Rutkowski*
Institute of Informatics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland
We introduce and formally define the notion of a stationary state for Petri nets. We also propose a fully automatic method for finding such states. The procedure makes use of the Presburger arithmetic to describe all the stationary states. Finally we apply this novel approach to find stationary states of a gene regulatory network describing the flower morphogenesis of A. thaliana. This shows that the proposed method can be successfully applied in the study of biological systems.