On the optimal form of branching supply and collection networks

Details On the optimal form of branching supply and collection networks On the optimal form of branching supply and collection networks

2009-09-06

arxiv.org/abs/0909.1104v1

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, 2 figures

Scientific paper

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.

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