A general model for the origin of allometric scaling laws in biology
A general model for the origin of allometric scaling laws in biology
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DOI：
10.1126/science.276.5309.122
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发表时间：
1997-04-04
期刊：
影响因子：
56.9
通讯作者：
Enquist, BJ
中科院分区：
文献类型：
--
作者：
West, GB;Brown, JH;Enquist, BJ
异速生长比例关系，包括代谢率的3/4幂定律，是所有生物体的特征，在这里是从一个描述必要物质如何通过分支管空间填充的分形网络运输的一般模型推导出来的。该模型假定耗散的能量最小，且端子管不随管体尺寸变化。它提供了与数据一致的哺乳动物循环系统标度关系的完整分析。更广泛地说，该模型预测了脊椎动物心血管和呼吸系统、植物血管系统、昆虫气管和其他分配网络的结构和功能特性。
Allometric scaling relations, including the 3/4 power law for metabolic rates, are characteristic of all organisms and are here derived from a general model that describes how essential materials are transported through space-filling fractal networks of branching tubes. The model assumes that the energy dissipated is minimized and that the terminal tubes do not vary with body size. It provides a complete analysis of scaling relations for mammalian circulatory systems that are in agreement with data. More generally, the model predicts structural and functional properties of vertebrate cardiovascular and respiratory systems, plant vascular systems, insect tracheal tubes, and other distribution networks.