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Through extensive research on various animals' metabolic rates, he found that a 3/4 power scaling provided a better fit to the empirical data than the 2/3 power. [2] His findings provided the groundwork for understanding allometric scaling laws in biology, leading to the formulation of the Metabolic Scaling Theory and the later work by West ...
Allometry (Ancient Greek ἄλλος állos "other", μέτρον métron "measurement") is the study of the relationship of body size to shape, [1] anatomy, physiology and behaviour, [2] first outlined by Otto Snell in 1892, [3] by D'Arcy Thompson in 1917 in On Growth and Form [4] and by Julian Huxley in 1932. [5]
Various authors have proposed at least eight different types of mechanisms that predict an allometric scaling exponent of either 2 ⁄ 3 or 3 ⁄ 4. The majority view is that while the 3 ⁄ 4 exponent is indeed the mean observed exponent within and across taxa, there is intra- and interspecific variability in the exponent that can include ...
Allometric engineering is the process of experimentally shifting the scaling relationships, for body size or shape, in a population of organisms. More specifically, the process of experimentally breaking the tight covariance evident among component traits of a complex phenotype by altering the variance of one trait relative to another.
This page was last edited on 13 December 2010, at 13:01 (UTC).; Text is available under the Creative Commons Attribution-ShareAlike 4.0 License; additional terms may apply.
Because the proportionality constants β and the scaling exponents α are often denoted using Greek letters, it is desirable to use β as the proportionality coefficient versus α, since α could be misread as the symbol for "proportional". A well-known allometric equation relates metabolic rate to body mass: Y = βM 3/4.
The Womersley number, usually denoted , is defined by the relation = = = =, where is an appropriate length scale (for example the radius of a pipe), is the angular frequency of the oscillations, and , , are the kinematic viscosity, density, and dynamic viscosity of the fluid, respectively. [2]
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