Activities and sensitivities in Boolean network models
Activities and sensitivities in Boolean network models
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DOI：
10.1103/physrevlett.93.048701
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发表时间：
2004-07-23
影响因子：
8.6
通讯作者：
Kauffman, SA
中科院分区：
文献类型：
--
作者：
Shmulevich, I;Kauffman, SA
我们研究布尔函数中变量的重要性概念以及函数对这些变量变化的敏感性如何影响布尔网络的动力学行为。变量的活动捕捉它对函数输出的影响，并且是该变量重要性的度量。布尔函数的平均灵敏度捕获函数的平滑度，并且与其内部齐性有关。在一个随机布尔网络中，我们表明，预期的平均灵敏度决定了著名的临界过渡曲线。我们还讨论了渠道化函数和事实，即渠道化变量享有更高的重要性，衡量他们的活动，比noncanalizing变量。最后，我们证明了平均灵敏度在确定布尔网络的动力学行为中的重要作用。
We study how the notions of importance of variables in Boolean functions as well as the sensitivities of the functions to changes in these variables impact the dynamical behavior of Boolean networks. The activity of a variable captures its influence on the output of the function and is a measure of that variable's importance. The average sensitivity of a Boolean function captures the smoothness of the function and is related to its internal homogeneity. In a random Boolean network, we show that the expected average sensitivity determines the well-known critical transition curve. We also discuss canalizing functions and the fact that the canalizing variables enjoy higher importance, as measured by their activities, than the noncanalizing variables. Finally, we demonstrate the important role of the average sensitivity in determining the dynamical behavior of a Boolean network.