A general model for the origin of allometric scaling laws in biology
- PMID: 9082983
- DOI: 10.1126/science.276.5309.122
A general model for the origin of allometric scaling laws in biology
Abstract
Allometric scaling relations, including the 3/4 power law for metabolic rates, are characteristic of all organisms and are here derived from a general model that describes how essential materials are transported through space-filling fractal networks of branching tubes. The model assumes that the energy dissipated is minimized and that the terminal tubes do not vary with body size. It provides a complete analysis of scaling relations for mammalian circulatory systems that are in agreement with data. More generally, the model predicts structural and functional properties of vertebrate cardiovascular and respiratory systems, plant vascular systems, insect tracheal tubes, and other distribution networks.
Comment in
- Science. 1998 Aug 7;281(5378):751
-
Fractal geometry gets the measure of life's scales.Science. 1997 Apr 4;276(5309):34. doi: 10.1126/science.276.5309.34. Science. 1997. PMID: 9122706 No abstract available.
-
Allometric scaling laws in biology.Science. 1997 Oct 17;278(5337):371; author reply 372-3. doi: 10.1126/science.278.5337.369c. Science. 1997. PMID: 9381131 No abstract available.
-
Allometric scaling laws in biology.Science. 1997 Oct 17;278(5337):371-2; author reply 372-3. Science. 1997. PMID: 9381132 No abstract available.
Similar articles
-
Allometric scaling laws in biology.Science. 1997 Oct 17;278(5337):371; author reply 372-3. doi: 10.1126/science.278.5337.369c. Science. 1997. PMID: 9381131 No abstract available.
-
The fourth dimension of life: fractal geometry and allometric scaling of organisms.Science. 1999 Jun 4;284(5420):1677-9. doi: 10.1126/science.284.5420.1677. Science. 1999. PMID: 10356399
-
Size and form in efficient transportation networks.Nature. 1999 May 13;399(6732):130-2. doi: 10.1038/20144. Nature. 1999. PMID: 10335841
-
The origin of allometric scaling laws in biology from genomes to ecosystems: towards a quantitative unifying theory of biological structure and organization.J Exp Biol. 2005 May;208(Pt 9):1575-92. doi: 10.1242/jeb.01589. J Exp Biol. 2005. PMID: 15855389 Review.
-
Analytic theories of allometric scaling.J Exp Biol. 2011 Apr 1;214(Pt 7):1055-62. doi: 10.1242/jeb.054502. J Exp Biol. 2011. PMID: 21389188 Review.
Cited by
-
The dynamics of nestedness predicts the evolution of industrial ecosystems.PLoS One. 2012;7(11):e49393. doi: 10.1371/journal.pone.0049393. Epub 2012 Nov 19. PLoS One. 2012. PMID: 23185326 Free PMC article.
-
A new mechanistic model for individual growth applied to insects under ad libitum conditions.PLoS One. 2024 Sep 4;19(9):e0309664. doi: 10.1371/journal.pone.0309664. eCollection 2024. PLoS One. 2024. PMID: 39231173 Free PMC article.
-
Optimal dosing of miltefosine in children and adults with visceral leishmaniasis.Antimicrob Agents Chemother. 2012 Jul;56(7):3864-72. doi: 10.1128/AAC.00292-12. Epub 2012 May 14. Antimicrob Agents Chemother. 2012. PMID: 22585212 Free PMC article. Clinical Trial.
-
Kinetic Modeling for BT200 to Predict the Level of Plasma-Derived Coagulation Factor VIII in Humans.AAPS J. 2024 Jul 12;26(4):81. doi: 10.1208/s12248-024-00952-4. AAPS J. 2024. PMID: 38992298
-
Quantifying Mosaic Development: Towards an Evo-Devo Postmodern Synthesis of the Evolution of Development via Differentiation Trees of Embryos.Biology (Basel). 2016 Aug 18;5(3):33. doi: 10.3390/biology5030033. Biology (Basel). 2016. PMID: 27548240 Free PMC article.
Publication types
MeSH terms
LinkOut - more resources
Full Text Sources
Other Literature Sources