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Allometric scaling laws in biology and physics

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  • He, Ji-Huan
  • Liu, Jun-Fang

Abstract

Hierarchical structures always have similar scaling laws both in biology and physics, and the scaling exponent plays an import role in sighting into the physiological properties or physical properties of the studied problems. E-infinity theory is emphasized and is predicted to be the most promising theory for natural hierarchical structures.

Suggested Citation

  • He, Ji-Huan & Liu, Jun-Fang, 2009. "Allometric scaling laws in biology and physics," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1836-1838.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:4:p:1836-1838
    DOI: 10.1016/j.chaos.2008.07.034
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    References listed on IDEAS

    as
    1. He, Ji-Huan, 2006. "An allometric scaling law between gray matter and white matter of cerebral cortex," Chaos, Solitons & Fractals, Elsevier, vol. 27(4), pages 864-867.
    2. He, Ji-Huan, 2007. "Shrinkage of body size of small insects: A possible link to global warming?," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 727-729.
    3. Geoffrey B. West & Van M. Savage & James Gillooly & Brian J. Enquist & William H. Woodruff & James H. Brown, 2003. "Why does metabolic rate scale with body size?," Nature, Nature, vol. 421(6924), pages 713-713, February.
    4. He, Ji-Huan & Huang, Zhende, 2006. "A novel model for allometric scaling laws for different organs," Chaos, Solitons & Fractals, Elsevier, vol. 27(4), pages 1108-1114.
    5. He, Ji-Huan, 2006. "Cell size and cell number as links between noncoding DNA and metabolic rate scaling," Chaos, Solitons & Fractals, Elsevier, vol. 28(4), pages 1026-1028.
    6. Geoffrey B. West & James H. Brown & Brian J. Enquist, 1997. "A General Model for the Origin of Allometric Scaling Laws in Biology," Working Papers 97-03-019, Santa Fe Institute.
    7. He, Ji-Huan, 2006. "Application of E-infinity theory to biology," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 285-289.
    8. He, Ji-Huan, 2006. "Application of E-infinity theory to turbulence," Chaos, Solitons & Fractals, Elsevier, vol. 30(2), pages 506-511.
    9. Geoffrey B. West & James H. Brown & Brian J. Enquist, 1999. "The Fourth Dimension of Life: Fractal Geometry and Allometric Scaling of Organisms," Working Papers 99-07-047, Santa Fe Institute.
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    Cited by:

    1. Ou, Ruiqiu & Yang, Jianmei, 2012. "On structural properties of scale-free networks with finite size," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(3), pages 887-894.
    2. J. Sylvan Katz & Guillermo Armando Ronda-Pupo, 2019. "Cooperation, scale-invariance and complex innovation systems: a generalization," Scientometrics, Springer;Akadémiai Kiadó, vol. 121(2), pages 1045-1065, November.

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