异速生长方程的隐藏物理维度。

E Morgado, B Günther
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引用次数: 0

摘要

本研究的目的是对赫胥黎异速生长方程(Y = aMb)进行量纲分析;在这个方程中,Y是任何生物变量,a是质量系数,M是身体质量,b是质量指数。它的每一个组成部分的维度都是通过物理的mlt系统来彻底分析的,就像整个方程的维度一样。讨论了量纲分析与某些生物相似性理论假设的关系。综上所述,异速生长方程的参数a始终是无量纲的,而因变量Y的物理量纲可以通过幂函数Mb来定义。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On the hidden physical dimensions of the allometric equation.

The aim of the present study was to submit Huxley's allometric equation (Y = aMb) to a dimensional analysis; in this equation Y is any biological variable, a is the mass-coefficient, M represents body mass, and b the mass-exponent. The dimensions of each of its components is thoroughly analyzed by means of the MLT-system of physics, as is the dimensionality of the whole equation. The relationship between the dimensional analysis and the postulates of some theories of biological similarity is discussed. In conclusion, parameter a of the allometric equation is always dimensionless, while the physical dimensions of the dependent variable Y can be defined by means of the power function Mb.

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