标题： 一种生物物理方法用于通信系统的网络设计 显示英文标题

标题： A biophysical approach to the design of networks of communication systems

摘要： 受原生动物\textit{多核黏菌}生长动力学的启发，我们采用了一种形式化方法，用于描述在通道网络上的适应性、不可压缩的哈根-泊肃叶流动，以识别欧几里得空间中连接不同节点的图。这些图相对于其长度来说要么是次优的，要么是最优的。有时，我们会推导出与史特林树拓扑等价的图树结构。这种方法可以用于辅助决策通信网络的设计，例如光纤网、高速公路或铁路网络。作为该方法实用性的展示，我们明确地将这一框架应用于葡萄牙铁路网络。 显示英文摘要

摘要： Inspired by the growth dynamics of the protist \textit{Physarum polycephalum}, we employ a formalism that describes adaptive, incompressible Hagen-Poiseuille flows on channel networks to identify graphs connecting different nodes within Euclidean space. These graphs are either suboptimal or optimal with respect to their length. Occasionally, we derive graph tree configurations that are topologically equivalent to Steiner trees. This methodology can be utilised to assist in making decisions regarding the design of communication networks, such as fibre webs, motorways, or railway networks. As a demonstration of the practicality of this approach, we explicitly apply this framework to the Portuguese railway network.