Reliable dynamics in Boolean and continuous networks
Reliable dynamics in Boolean and continuous networks
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DOI：
10.1088/1367-2630/14/12/123029
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发表时间：
2012-12
影响因子：
3.3
通讯作者：
Eva Ackermann;Tiago P. Peixoto;B. Drossel
中科院分区：
文献类型：
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作者：
Eva Ackermann;Tiago P. Peixoto;B. Drossel
我们研究了具有“完全可靠”轨迹的鲁棒基因调控网络模型的动力学行为。在布尔表示中，这些轨迹的特征在于对节点更新的顺序不敏感，即它们总是经历相同的状态序列。基因活性的布尔模型进行了比较与连续描述的微分方程的mRNA和蛋白质的浓度。我们发现，完全可靠的布尔轨迹可以完美地再现在连续模型时，现实的希尔系数。我们调查在何种程度上这种高的对应关系的布尔和连续的轨迹取决于程度的可靠性的布尔轨迹，我们确定简单的标准，使忠实再现的布尔动态的连续描述。
We investigate the dynamical behavior of a model of robust gene regulatory networks which possess ‘entirely reliable’ trajectories. In a Boolean representation, these trajectories are characterized by being insensitive to the order in which the nodes are updated, i.e. they always go through the same sequence of states. The Boolean model for gene activity is compared with a continuous description in terms of differential equations for the concentrations of mRNA and proteins. We found that entirely reliable Boolean trajectories can be reproduced perfectly in the continuous model when realistic Hill coefficients are used. We investigate to what extent this high correspondence between Boolean and continuous trajectories depends on the extent of reliability of the Boolean trajectories, and we identify simple criteria that enable the faithful reproduction of the Boolean dynamics in the continuous description.