We report a phenomenological power law for the reduction of network permeability in statistically homogeneous spatial networks upon removal of a single edge. We characterize this power law for plexus-like microvascular sinusoidal networks from liver tissue, as well as perturbed two- and three-dimensional regular lattices. We provide a heuristic argument for the observed power law by mapping arbitrary spatial networks that satisfy Darcy's law on a small-scale resistor network.

中文翻译：

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去除单个边缘后，网络渗透率根据二次幂定律发生变化

我们报告了一种现象学幂律，用于在去除单个边缘后降低统计均匀空间网络中的网络渗透率。我们描述了来自肝组织的类丛状微血管正弦网络的幂律，以及扰动的二维和三维规则格子。我们通过在小规模电阻网络上映射满足达西定律的任意空间网络，为观察到的幂律提供启发式论证。