从网络结构到动力学再返回：生物复杂系统中的动力学稳定性和连接拓扑
From Network Structure to Dynamics and Back Again: Relating dynamical stability and connection topology in biological complex systems
摘要：
最近发现的普遍原则，许多复杂的网络发生在生物世界的广泛的长度尺度，刺激物理学家试图理解这些功能使用统计物理学和非线性动力学的技术。在本文中，我们将通过一些生物网络的例子来了解类似的问题如何在不同的背景下出现。我们回顾了我们最近的一些工作，看看如何网络结构（例如，它的连接拓扑）可以决定它的动态特性，并且相反地，动态考虑如何约束网络结构。我们还看到，自然界中的网络是如何演变成模块化配置的，这是同时试图满足多个结构和动力学约束的结果。由此产生的最优网络具有枢纽，并具有类似于生物系统中所见的异质度分布。
英文摘要：
The recent discovery of universal principles underlying many complex networks occurring across a wide range of length scales in the biological world has spurred physicists in trying to understand such features using techniques from statistical physics and non-linear dynamics. In this paper, we look at a few examples of biological networks to see how similar questions can come up in very different contexts. We review some of our recent work that looks at how network structure (e.g., its connection topology) can dictate the nature of its dynamics, and conversely, how dynamical considerations constrain the network structure. We also see how networks occurring in nature can evolve to modular configurations as a result of simultaneously trying to satisfy multiple structural and dynamical constraints. The resulting optimal networks possess hubs and have heterogeneous degree distribution similar to those seen in biological systems.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
