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Core percolation and onset of complexity in boolean networks.

L Correale·M Leone·A Pagnani·M Weigt·R Zecchina
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Abstract

The determination and classification of fixed points of large Boolean networks is addressed in terms of a constraint-satisfaction problem. We develop a general simplification scheme that, removing all those variables and functions belonging to trivial logical cascades, returns the computational core of the network. The transition line from an easy to a complex regulatory phase is described as a function of the parameters of the model, identifying thereby both theoretically and algorithmically the relevant regulatory variables.

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AlgorithmsGene Expression RegulationModels, GeneticJournal ArticleResearch Support, Non-U.S. Gov't

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L Correale, M Leone, A Pagnani, M Weigt, R Zecchina. 2006-01-04. Core percolation and onset of complexity in boolean networks.. https://doi.org/10.1103/physrevlett.96.018101

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