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Key Features of Turing Systems are Determined Purely by Network Topology

机译:图灵系统的主要特征纯粹是通过网络拓扑确定的

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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 explaining how network topology determines fundamental system properties and constraints has not been 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.
机译:图案的模式形成理论是自组织的普遍模型,适用于物理,化学和生物学中的许多系统。图灵系统的基本特性,例如存在模式的条件和模式选择的机制,在小网络中得到很好地理解。但是,概述了一组规则,解释了网络拓扑如何确定基本系统属性和约束。在这里,我们提供了一个第一批图灵网络拓扑理论,这证明了为什么要通过拓扑直接确定图灵系统的三个关键特征:适用于扩散速率,系统的鲁棒性和相位关系的限制类型分子种类。

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