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On Model Reductions of Boolean Networks

Authors: Claudine Chaouiya; Jérôme Feret; Patrícia Tenera Roxo;

On Model Reductions of Boolean Networks

Abstract

Boolean networks are a class of qualitative models used ex-tensively to model regulatory interactions driving biological processes.While structurally simple, their dynamics can be quite complex. One re-current issue in studying the dynamics of these models is state explosion.To tackle this problem model reduction techniques are employed. Thesetechniques aim at producing smaller models that behave approximatelyas the original model.In this paper we introduce a new reduction that ensures that if thereis a path between two states in the initial model, there is also a pathbetween their reduced counterparts. We use Abstract Interpretation, aunifying framework to compare semantics of models at different levels ofabstraction, to formally relate the behaviors of the initial and reducedmodels. We analyze both the newly proposed reduction and Naldi et al.’sreduction through the lenses of this framework.

Country
France
Keywords

Boolean Networks, Reachability., Abstract Interpretation, Model Reduction, [INFO] Computer Science [cs]

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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