Volume 134, Number 6, June 2021
|Number of page(s)||7|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||02 September 2021|
Network permeability changes according to a quadratic power law upon removal of a single edge
1 HTW - Dresden, Germany
2 Center for Advancing Electronics Dresden, TU Dresden - Dresden, Germany
3 Cluster of Excellence “Physics of Life”, TU Dresden - Dresden, Germany
(a) email@example.com (corresponding author)
Received: 12 July 2020
Accepted: 18 February 2021
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.
© 2021 EPLA
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