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A novel model for allometric scaling laws for different organs

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  • He, Ji-Huan
  • Huang, Zhende

Abstract

The power function of metabolic rate scaling for an organ is established as Borgan∼Torgan(D+N/6)/(D+1), where Borgan is the metabolic rate of the organ, Torgan is its mass, D is its fractal dimension of the total cell boundary, and N is its cell’s degree of freedom of motion. This prediction agrees quite well with the experimental data for the brain, liver, heart, and kidneys, and it explains very well the reason why the maximal metabolic rate induced by exercise scales with M0.86 rather then M0.75.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:27:y:2006:i:4:p:1108-1114
    DOI: 10.1016/j.chaos.2005.04.082
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    Cited by:

    1. Chen, Yanguang, 2014. "An allometric scaling relation based on logistic growth of cities," Chaos, Solitons & Fractals, Elsevier, vol. 65(C), pages 65-77.
    2. He, Ji-Huan, 2007. "The number of elementary particles in a fractal M-theory of 11.2360667977 dimensions," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 346-351.
    3. Chen, Yanguang & Jiang, Shiguo, 2009. "An analytical process of the spatio-temporal evolution of urban systems based on allometric and fractal ideas," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 49-64.
    4. He, Ji-Huan, 2009. "Nonlinear science as a fluctuating research frontier," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2533-2537.
    5. He, Ji-Huan & Liu, Jun-Fang, 2009. "Allometric scaling laws in biology and physics," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1836-1838.
    6. 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.
    7. He, Ji-Huan, 2008. "Fatalness of virus depends upon its cell fractal geometry," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1390-1393.
    8. Tjeerd V olde Scheper, 2022. "Controlled bio-inspired self-organised criticality," PLOS ONE, Public Library of Science, vol. 17(1), pages 1-19, January.
    9. He, Ji-Huan, 2006. "Application of E-infinity theory to turbulence," Chaos, Solitons & Fractals, Elsevier, vol. 30(2), pages 506-511.
    10. 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.
    11. Chen, Yanguang & Wang, Yihan & Li, Xijing, 2019. "Fractal dimensions derived from spatial allometric scaling of urban form," Chaos, Solitons & Fractals, Elsevier, vol. 126(C), pages 122-134.

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