论文标题

复杂几何形状的网络表示中拥挤的运输

Crowded transport within networked representations of complex geometries

论文作者

Wilson, Daniel B., Woodhouse, Francis G., Simpson, Matthew J., Baker, Ruth E.

论文摘要

在许多空间尺度上发生了拥挤,复杂的环境。几何限制会阻碍个人的运动,并结合个人之间的拥挤,会对全球运输现象产生巨大影响。但是,总的来说,在复杂的现实生活环境中拥挤与几何之间的相互作用知之甚少。现有的分析方法并不总是很容易扩展到异质环境:在这些情况下,异质环境中拥挤的运输行为的预测取决于基于计算密集的网格的方法。在这里,我们通过采用复杂环境的网络表示来采用不同的方法,以提供有效的框架,在该框架中,可以在其中探索网络几何和拥挤之间的相互作用。我们演示了该框架如何用于:在整个人群或其中个人的水平上提取详细信息;确定能够准确预测运输现象的环境的拓扑特征;并提供有关最佳环境设计的见解。

Transport in crowded, complex environments occurs across many spatial scales. Geometric restrictions can hinder the motion of individuals and, combined with crowding between individuals, can have drastic effects on global transport phenomena. However, in general, the interplay between crowding and geometry in complex real-life environments is poorly understood. Existing analytical methodologies are not always readily extendable to heterogeneous environments: in these situations predictions of crowded transport behaviour within heterogeneous environments rely on computationally intensive mesh-based approaches. Here, we take a different approach by employing networked representations of complex environments to provide an efficient framework within which the interactions between networked geometry and crowding can be explored. We demonstrate how the framework can be used to: extract detailed information at the level of the whole population or an individual within it; identify the topological features of environments that enable accurate prediction of transport phenomena; and, provide insights into the design of optimal environments.

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