Order or chaos in Boolean gene networks depends on the mean fraction of canalizing functions
Order or chaos in Boolean gene networks depends on the mean fraction of canalizing functions
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DOI：
10.1016/j.physa.2007.05.050
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发表时间：
2007-10-15
影响因子：
3.3
通讯作者：
Hoernquist, Michael
中科院分区：
文献类型：
--
作者：
Karlsson, Fredrik;Hoernquist, Michael
我们探讨了布尔网络中的有序/混沌与这些系统中自然发生的渠化函数的分数之间的联系。这个分数可以非常清楚地表明系统是否具有有序或混沌的动力学，正如德里达图所测量的那样，当我们比较具有相同数量的顶点和边的不同网络时，也可以给出有序度。通过研究也广泛分布的网络中的度，我们表明，平均概率的渠化功能是一个更可靠的指标的类型的动态有限网络比经典的结果稳定的偏差平均度。最后，我们通过直接模拟比较两个生物衍生的网络与网络的大小相似，但幂律和泊松分布的度，分别。生物动机的网络并不比后者更有序，在一种情况下，生物网络甚至是混沌的，而其他人则不是。(C)2007 Elsevier B. V.保留所有权利。
We explore the connection between order/chaos in Boolean networks and the naturally occurring fraction of canalizing functions in such systems. This fraction turns out to give a very clear indication of whether the system possesses ordered or chaotic dynamics, as measured by Derrida plots, and also the degree of order when we compare different networks with the same number of vertices and edges. By studying also a wide distribution of indegrees in a network, we show that the mean probability of canalizing functions is a more reliable indicator of the type of dynamics for a finite network than the classical result on stability relating the bias to the mean indegree. Finally, we compare by direct simulations two biologically derived networks with networks of similar sizes but with power-law and Poisson distributions of indegrees, respectively. The biologically motivated networks are not more ordered than the latter, and in one case the biological network is even chaotic while the others are not. (C) 2007 Elsevier B.V. All rights reserved.