标题： 关于分支供应和收集网络的最佳形式 显示英文标题

标题： On the optimal form of branching supply and collection networks

摘要： 对于从单一源高效供应材料到空间区域的问题，我们提出了一种基于分支网络体积最小化的简单缩放论证，该论证确定了汇密度缩放的极限。 我们讨论了在生物体生物学和地貌学中的两个基本且未解决的问题的含义：恒温动物的基础代谢如何随体型大小缩放，以及侵蚀地表上排水盆地形状的缩放。 显示英文摘要

摘要： 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.