Petri net on expanded networks computes the dynamics of finite multilevel models
Elizabeth Andreas1,2, Eli Quist1, Tomas Gedeon1
1Department of Mathematical Sciences, Montana State University Bozeman, Bozeman, MT, USA.
Abstract:
We discuss connections between different types of models of gene-regulatory network dynamics that include Boolean, finite multilevel and monotone Boolean models. We recast the methodology of describing attractors of Boolean and finite multilevel dynamics using motifs of the expanded network in terms of Petri net dynamics on . We show that the Petri net can be used to recover dynamics of the finite multilevel dynamics on the state transition graph. We conclude with new insights that the expanded network viewpoint offers for the robustness of equilibria and complex attractors.
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