Klotz Johannes Georg, Feuer Ronny, Sawodny Oliver, Bossert Martin, Ederer Michael, Schober Steffen
Institute of Communications Engineering, Ulm University, Albert-Einstein-Allee 43, 89081 Ulm, Germany.
EURASIP J Bioinform Syst Biol. 2013 Jan 11;2013(1):1. doi: 10.1186/1687-4153-2013-1.
: Transcriptional regulation networks are often modeled as Boolean networks. We discuss certain properties of Boolean functions (BFs), which are considered as important in such networks, namely, membership to the classes of unate or canalizing functions. Of further interest is the average sensitivity (AS) of functions. In this article, we discuss several algorithms to test the properties of interest. To test canalizing properties of functions, we apply spectral techniques, which can also be used to characterize the AS of functions as well as the influences of variables in unate BFs. Further, we provide and review upper and lower bounds on the AS of unate BFs based on the spectral representation. Finally, we apply these methods to a transcriptional regulation network of Escherichia coli, which controls central parts of the E. coli metabolism. We find that all functions are unate. Also the analysis of the AS of the network reveals an exceptional robustness against transient fluctuations of the binary variables.a.
转录调控网络通常被建模为布尔网络。我们讨论布尔函数（BFs）的某些属性，这些属性在这类网络中被认为很重要，即属于单变量或可 canalizing 函数类。函数的平均敏感度（AS）更值得关注。在本文中，我们讨论了几种测试感兴趣属性的算法。为了测试函数的 canalizing 属性，我们应用谱技术，该技术也可用于表征函数的 AS 以及单变量布尔函数中变量的影响。此外，我们基于谱表示提供并回顾了单变量布尔函数 AS 的上下界。最后，我们将这些方法应用于大肠杆菌的转录调控网络，该网络控制大肠杆菌代谢的核心部分。我们发现所有函数都是单变量的。对该网络 AS 的分析还揭示了其对二元变量瞬态波动具有非凡的鲁棒性。
