Re-examination of the "3/4-law" of Metabolism

dc.creatorDodds, Peter Sheridan
dc.creatorRothman, Daniel H.
dc.creatorWeitz, Joshua S.
dc.date2000-07-28
dc.date.accessioned2026-07-07T05:44:22Z
dc.date.available2026-07-07T05:44:22Z
dc.descriptionWe examine the scaling law $B \propto M^α$ which connects organismal metabolic rate $B$ with organismal mass $M$, where $α$ is commonly held to be 3/4. Since simple dimensional analysis suggests $α=2/3$, we consider this to be a null hypothesis testable by empirical studies. We re-analyze data sets for mammals and birds compiled by Heusner, Bennett and Harvey, Bartels, Hemmingsen, Brody, and Kleiber, and find little evidence for rejecting $α=2/3$ in favor of $α=3/4$. For mammals, we find a possible breakdown in scaling for larger masses reflected in a systematic increase in $α$. We also review theoretical justifications of $α=3/4$ based on dimensional analysis, nutrient-supply networks, and four-dimensional biology. We find that present theories for $α=3/4$ require assumptions that render them unconvincing for rejecting the null hypothesis that $α=2/3$.
dc.descriptionRevtex4, 14 pages, 5 figures, submitted to Journal of Theoretical Biology
dc.identifierhttps://arxiv.org/abs/physics/0007096
dc.identifierhttp://arxiv.org/abs/physics/0007096
dc.identifierJ. Theor. Biol., 209(1), pp 9-29 (2003)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/83611
dc.subjectBiological Physics
dc.subjectData Analysis, Statistics and Probability
dc.subjectOther Quantitative Biology
dc.titleRe-examination of the "3/4-law" of Metabolism
dc.typetext

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