摘要翻译：
生物学中的一个中心争论是代谢率的异速标度。Kleiber的观察认为动物的基础代谢率相当于体质量的3/4次方（Kleiber法则）是过去80年的主流假设。越来越多的证据支持替代的2/3次方比例规则，尤其是对较小的动物。2/3规则可以追溯到Kleiber之前，被认为起源于欧几里得几何中的表面-体积关系。在本研究中，我们发现3/4和2/3尺度规则实际上都有一个共同的起源。它们受动物的营养供应网络--它们的血管系统服从默里定律--的支配。默里定律描述了层流下能量优化血管网络的分支模式。一般认为是血管紧随其后。我们的分析与实验观察和最近的数值分析一致，这些分析表明代谢尺度发生了弯曲。当应用于代谢数据时，我们的模型准确地产生了对10公斤或10公斤以下的小动物观察到的2/3比例规则和对除最小动物(15克）之外的所有动物观察到的3/4比例规则。该模型对正在进行的辩论有广泛的影响。证明了3/4指数和2/3指数在其适用质量范围内都是同一标度律的唯象近似，2/3律并非源于经典表面定律。
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英文标题：
《A common origin for 3/4- and 2/3-power rules in metabolic scaling》
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作者：
Jinkui Zhao
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最新提交年份：
2015
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分类信息：

一级分类：Physics        物理学
二级分类：Biological Physics        生物物理学
分类描述：Molecular biophysics, cellular biophysics, neurological biophysics, membrane biophysics, single-molecule biophysics, ecological biophysics, quantum phenomena in biological systems (quantum biophysics), theoretical biophysics, molecular dynamics/modeling and simulation, game theory, biomechanics, bioinformatics, microorganisms, virology, evolution, biophysical methods.
分子生物物理、细胞生物物理、神经生物物理、膜生物物理、单分子生物物理、生态生物物理、生物系统中的量子现象（量子生物物理）、理论生物物理、分子动力学/建模与模拟、博弈论、生物力学、生物信息学、微生物、病毒学、进化论、生物物理方法。
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一级分类：Quantitative Biology        数量生物学
二级分类：Other Quantitative Biology        其他定量生物学
分类描述：Work in quantitative biology that does not fit into the other q-bio classifications
不适合其他q-bio分类的定量生物学工作
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英文摘要：
  A central debate in biology has been the allometric scaling of metabolic rate. Kleiber's observation that animals' basal metabolic rate scales to the 3/4-power of body mass (Kleiber's rule) has been the prevailing hypothesis in the last eight decades. Increasingly, more evidences are supporting the alternative 2/3-power scaling rule, especially for smaller animals. The 2/3-rule dates back to before Kleiber's time and was thought to originate from the surface to volume relationship in Euclidean geometry. In this study, we show that both the 3/4- and 2/3-scaling rules have in fact one common origin. They are governed by animals' nutrient supply networks-their vascular systems that obey Murray's law. Murray's law describes the branching pattern of energy optimized vascular network under laminar flow. It is generally regarded as being closely followed by blood vessels. Our analysis agrees with experimental observations and recent numerical analyses that showed a curvature in metabolic scaling. When applied to metabolic data, our model accurately produces the observed 2/3-scaling rule for small animals of ~10 kg or less and the 3/4-rule for all animals excluding the smallest ones (~15 g). The model has broad implications to the ongoing debate. It proves that both the 3/4- and 2/3-exponents are phenomenological approximations of the same scaling rule within their applicable mass ranges, and that the 2/3-rule does not originate from the classical surface law.
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PDF链接：
https://arxiv.org/pdf/1509.08912