2020/07/15 by Steffen Lange, Lange, S., Bonny Friedrich +1
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Complex Network Analysis Techniques #Diffusion and Search Dynamics #FOS: Biological sciences #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Markov Chains and Monte Carlo Methods #Soft Condensed Matter (cond-mat.soft) #Tissues and Organs (q-bio.TO)
paper · pdf · doi:10.48550/arxiv.2007.10130
openalex publication_date 2020/07/15 · openalex created_date 2020/07/23 · openalex updated_date 2026/07/28
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.