Journal
JOURNAL OF MATHEMATICAL BIOLOGY
Volume 43, Issue 2, Pages 144-156Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s002850170001
Keywords
allometric scaling; metabolism; mass
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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.
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