摘要翻译：
复杂系统通常被建模为布尔网络，试图捕捉其逻辑结构并揭示其动力学后果。然而，用离散值和布尔逻辑门来近似连续变量的动力学可能会引入原始系统无法获得的动力学可能性。我们证明，在无序（混沌）状态下，通过连续传递函数耦合的变量的大随机网络往往不能表现出相应布尔模型的复杂动力学，即使每个单独的函数似乎是布尔理想化的良好候选函数。一个适当修正的布尔理论解释了信息不忠实地沿着某些节点链传播的系统的行为。模型网络结合计算或直接测量的传递函数在文献中报道的转录调控基因是由修正的理论描述的。
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英文标题：
《Boolean modeling of collective effects in complex networks》
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作者：
Johannes Norrell, Joshua E. S. Socolar
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最新提交年份：
2009
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分类信息：

一级分类：Quantitative Biology        数量生物学
二级分类：Molecular Networks        分子网络
分类描述：Gene regulation, signal transduction, proteomics, metabolomics, gene and enzymatic networks
基因调控、信号转导、蛋白质组学、代谢组学、基因和酶网络
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一级分类：Physics        物理学
二级分类：Disordered Systems and Neural Networks        无序系统与神经网络
分类描述：Glasses and spin glasses; properties of random, aperiodic and quasiperiodic systems; transport in disordered media; localization; phenomena mediated by defects and disorder; neural networks
眼镜和旋转眼镜；随机、非周期和准周期系统的性质；无序介质中的传输；本地化；由缺陷和无序介导的现象；神经网络
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一级分类：Quantitative Biology        数量生物学
二级分类：Other Quantitative Biology        其他定量生物学
分类描述：Work in quantitative biology that does not fit into the other q-bio classifications
不适合其他q-bio分类的定量生物学工作
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英文摘要：
  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.
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PDF链接：
https://arxiv.org/pdf/0811.2209