Boolean modeling of collective effects in complex networks.
Boolean modeling of collective effects in complex networks.
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DOI：
10.1103/physreve.79.061908
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发表时间：
2009-06
期刊：
影响因子：
--
通讯作者：
Socolar JE
中科院分区：
文献类型：
--
作者：
Norrell J;Socolar JE
Complex systems are often modeled as Boolean networks in attempts to capture their logical structure and reveal its dynamical consequences. Approximating the dynamics of continuous variables by discrete values and Boolean logic gates may, however, introduce dynamical possibilities that are not accessible to the original system. We show that large random networks of variables coupled through continuous transfer functions often fail to exhibit the complex dynamics of corresponding Boolean models in the disordered (chaotic) regime, even when each individual function appears to be a good candidate for Boolean idealization. A suitably modified Boolean theory explains the behavior of systems in which information does not propagate faithfully down certain chains of nodes. Model networks incorporating calculated or directly measured transfer functions reported in the literature on transcriptional regulation of genes are described by the modified theory.
