Network permeability changes according to a quadratic power law upon removal of a single edge

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-dimens...

Full description

Saved in:

Bibliographic Details
Published in:	Europhysics letters Vol. 134; no. 6; pp. 64002 - 64008
Main Authors:	Lange, S., Friedrich, B. M.
Format:	Journal Article
Language:	English
Published:	Les Ulis EDP Sciences, IOP Publishing and Società Italiana di Fisica 01-06-2021 IOP Publishing
Subjects:	Darcys law Fluid dynamics Networks Permeability Power law
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	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.
ISSN:	0295-5075 1286-4854
DOI:	10.1209/0295-5075/134/64002