On the optimal form of branching supply and collection networks
Pattern Formation and Solitons
2009-09-08 v1 Adaptation and Self-Organizing Systems
Abstract
For the problem of efficiently supplying material to a spatial region from a single source, we present a simple scaling argument based on branching network volume minimization that identifies limits to the scaling of sink density. We discuss implications for two fundamental and unresolved problems in organismal biology and geomorphology: how basal metabolism scales with body size for homeotherms and the scaling of drainage basin shape on eroding landscapes.
Keywords
Cite
@article{arxiv.0909.1104,
title = {On the optimal form of branching supply and collection networks},
author = {Peter Sheridan Dodds},
journal= {arXiv preprint arXiv:0909.1104},
year = {2009}
}
Comments
4 pages, 2 figures