Network permeability changes according to a quadratic power law upon removal of a single edge
Soft Condensed Matter
2020-07-21 v1 Fluid Dynamics
Tissues and Organs
Abstract
We report an empirical 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 satisfies Darcy's law on an small-scale resistor network.
Keywords
Cite
@article{arxiv.2007.10130,
title = {Network permeability changes according to a quadratic power law upon removal of a single edge},
author = {S. Lange and B. M. Friedrich},
journal= {arXiv preprint arXiv:2007.10130},
year = {2020}
}
Comments
6 pages, 3 figures