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Quantum statistics and allometric scaling of organisms

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  • Demetrius, Lloyd

Abstract

This article proposes a mechanism to explain allometric relations between basal metabolic rate and the body size of organisms. The model postulates that energy transduction in biological organisms is constrained by two classes of dynamical processes: The first process has its origin in quantum mechanics and the constraints which the coupling of electron transport and proton translocation impose on metabolic activity. The second derives from evolutionary dynamics and the constraints which ecological and demographic forces impose on metabolic rate. These two processes are invoked to show that the scaling exponent between basal metabolic rate and body size follows a 34 rule, in the case of organisms subject to ecological constraints defined by scarce but dependable resources, and a 23 rule when constraints are defined by ample but only temporarily available resources. Our conclusions are based on general arguments incorporating the molecular mechanisms that determine metabolic activity at all levels of biological organization. Hence the model applies to uni-cellular organisms, plants and animals.

Suggested Citation

  • Demetrius, Lloyd, 2003. "Quantum statistics and allometric scaling of organisms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 322(C), pages 477-490.
    • Handle: RePEc:eee:phsmap:v:322:y:2003:i:c:p:477-490
    DOI: 10.1016/S0378-4371(03)00013-X
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. Witting, Lars, 2017. "The natural selection of metabolism and mass selects allometric transitions from prokaryotes to mammals," Theoretical Population Biology, Elsevier, vol. 117(C), pages 23-42.

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