Allometric scaling in animals and plants

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 2001Publisher:Springer Science and Business Media LLCJournal:Journal of Mathematical Biology, volume 43, pages 144-156 (issn: 0303-6812, eissn: 1432-1416,

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Authors: Dreyer, Olaf; Puzio, Raymond;

doi: 10.1007/s002850170001

pmid: 11570589

Allometric scaling in animals and plants

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Abstract

In this paper we give a derivation for the allometric scaling relation between the metabolic rate and the mass of animals and plants. We show that the characteristic scaling exponent of 3/4 occurring in this relation is a result of the distribution of sources and sinks within the living organism. We further introduce a principle of least mass and discuss the kind of flows that arise from it.

Related Organizations

Pennsylvania State University
United States
University of Mississippi
United States

Keywords

metabolic rate, scaling exponent, Body Weight, Functions of several variables, Lizards, Plants, Models, Biological, allometric scaling relation, Mice, Metabolism, Mathematical biology in general, mass, Animals, Cattle, Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.), principle of least mass, Mathematical Computing, General biology and biomathematics

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