论文标题
在布尔网络的稳定性中，学位和布尔规则之间的相互作用
Interplay between degree and Boolean rules in the stability of Boolean networks
论文作者
论文摘要
经验证据表明，生物监管系统受拓扑和布尔规则之间的高级协调控制。在这项研究中，我们研究了程度和布尔功能对布尔网络稳定性的关节作用。为了阐明这些效果，我们关注i）布尔变量与程度的灵敏度之间的相关性，以及ii）载口输入和程度之间的耦合。我们发现，相对于局部程度的否定敏感性增强了布尔网络对外部扰动的稳定性。我们还证明，当引导输入的效果与高度的节点坐标时可以放大。数值模拟证实了我们在节点和网络级别上分析预测的准确性。
Empirical evidence has revealed that biological regulatory systems are controlled by high-level coordination between topology and Boolean rules. In this study, we study the joint effects of degree and Boolean functions on the stability of Boolean networks. To elucidate these effects, we focus on i) the correlation between the sensitivity of Boolean variables and the degree, and ii) the coupling between canalizing inputs and degree. We find that negatively correlated sensitivity with respect to local degree enhances the stability of Boolean networks against external perturbations. We also demonstrate that the effects of canalizing inputs can be amplified when they coordinate with high in-degree nodes. Numerical simulations confirm the accuracy of our analytical predictions at both the node and network levels.
