图灵系统的关键特征完全由网络拓扑决定
Key features of Turing systems are determined purely by network topology
摘要：
图灵的斑图形成理论是自组织的通用模型，适用于物理、化学和生物学中的许多系统。图灵系统的基本性质，如模式存在的条件和模式选择的机制在小型网络中得到了很好的理解。然而，一套通用的规则如何网络拓扑结构确定基本的系统属性和约束尚未found.Here，我们提供了图灵网络拓扑结构的第一个一般理论，证明了为什么图灵系统的三个关键特征直接由拓扑结构决定：适用于扩散速率的限制类型，系统的鲁棒性，和分子种类的相位关系。
英文摘要：
Turing's theory of pattern formation is a universal model for self-organization, applicable to many systems in physics, chemistry and biology. Essential properties of a Turing system, such as the conditions for the existence of patterns and the mechanisms of pattern selection are well understood in small networks. However, a general set of rules governing how network topology determines fundamental system properties and constraints has not be found. Here we provide a first general theory of Turing network topology, which proves why three key features of a Turing system are directly determined by the topology: the type of restrictions that apply to the diffusion rates, the robustness of the system, and the phase relations of the molecular species.
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。
