标题： 无扰动和噪声广义布尔网络的动力学 显示英文标题

标题： Dynamics of Unperturbed and Noisy Generalized Boolean Networks

摘要： 多年来，我们一直在构建基因调控网络的模型，最近分子生物学的进步对这类高度复杂系统的结构和动态特性提供了新的见解。 在本工作中，我们提出了一种在随机和无尺度布尔网络中更新的新时机，这是受到分子生物学最新发现的启发。 这种更新序列既不是完全同步的，也不是异步的，而是考虑了基因之间相互影响的顺序。 我们同时使用了Kauffman的原始模型和Aldana的扩展模型，该模型考虑了实际GRNs中已知部分的结构特性，其中度分布是右偏且长尾的。 新模型动力学的计算机模拟结果优于原始模型，并在吸引子数量和长度方面表现出生物上合理的结果。 我们还对系统在瞬时扰动下的稳定性进行了全面分析，这是生物网络的一个定义属性。 结果令人鼓舞，因为我们的模型在不失去布尔网络吸引力的简单性的情况下，表现出与先前模型相当甚至更好的行为。 显示英文摘要

摘要： For years, we have been building models of gene regulatory networks, where recent advances in molecular biology shed some light on new structural and dynamical properties of such highly complex systems. In this work, we propose a novel timing of updates in Random and Scale-Free Boolean Networks, inspired by recent findings in molecular biology. This update sequence is neither fully synchronous nor asynchronous, but rather takes into account the sequence in which genes affect each other. We have used both Kauffman's original model and Aldana's extension, which takes into account the structural properties about known parts of actual GRNs, where the degree distribution is right-skewed and long-tailed. The computer simulations of the dynamics of the new model compare favorably to the original ones and show biologically plausible results both in terms of attractors number and length. We have complemented this study with a complete analysis of our systems' stability under transient perturbations, which is one of biological networks defining attribute. Results are encouraging, as our model shows comparable and usually even better behavior than preceding ones without loosing Boolean networks attractive simplicity.