Canalizing Kauffman networks: nonergodicity and its effect on their critical behavior.
Canalizing Kauffman networks: nonergodicity and its effect on their critical behavior.
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DOI：
10.1103/physrevlett.94.218702
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发表时间：
2005-04
影响因子：
8.6
通讯作者：
A. Moreira;L. Amaral
中科院分区：
文献类型：
--
作者：
A. Moreira;L. Amaral
布尔网络已被用于研究许多现象，包括基因调控、神经网络、社会互动和生物进化。本文提出了一种确定由布尔函数的任意集合构成的布尔系统临界行为的一般方法。特别是，我们解决了根据解析函数运行的单元系统的临界条件，并给出了强有力的数值证据，证明我们的方法正确地预测了这种系统中从有序到混沌的相变。
Boolean networks have been used to study numerous phenomena, including gene regulation, neural networks, social interactions, and biological evolution. Here, we propose a general method for determining the critical behavior of Boolean systems built from arbitrary ensembles of Boolean functions. In particular, we solve the critical condition for systems of units operating according to canalizing functions and present strong numerical evidence that our approach correctly predicts the phase transition from order to chaos in such systems.