We give in this paper indications about the dynamical impact (as phenotypic changes) coming from the main sources of perturbation in biological regulatory networks. First, we define the boundary of the interaction graph expressing the regulations between the main elements of the network (genes, proteins, metabolites, ...). Then, we search what changes in the state values on the boundary could cause some changes of states in the core of the system (robustness to boundary conditions). After, we analyse the role of the mode of updating (sequential, block sequential or parallel) on the asymptotics of the network, essentially on the occurrence of limit cycles (robustness to updating methods). Finally, we show the influence of some topological changes (e.g. suppression or addition of interactions) on the dynamical behaviour of the system (robustness to topology perturbations).

中文翻译：

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监管网络的稳健性：多学科方法

我们在本文中给出了来自生物调节网络中扰动的主要来源的动态影响（作为表型变化）的迹象。首先，我们定义了表达网络主要元素（基因、蛋白质、代谢物……）之间规则的相互作用图的边界。然后，我们搜索边界上状态值的哪些变化会导致系统核心（对边界条件的鲁棒性）的一些状态变化。之后，我们分析了更新模式（顺序、块顺序或并行）对网络渐近性的作用，主要是对极限环的出现（更新方法的鲁棒性）。最后，我们展示了一些拓扑变化的影响（例如