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Rivers, blood and transportation networks

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  • Page R. Painter

    (Office of Environmental Health Hazard Assessment, California Environmental Protection Agency)

Abstract

The search for a theory to explain why the metabolic rate of mammals is proportional to the 3/4-power of body mass (Kleiber's law) has recently focused on the nutrient distribution network formed by arteries and capillaries. Banavar et al.1 argue that the law follows from the intrinsic properties of an outward-directed network. But careful analysis of their arguments reveals two implicit assumptions that may not be generally correct. Unless these assumptions are valid for mammalian circulation, these arguments cannot satisfactorily explain Kleiber's empirical relationship.

Suggested Citation

  • Page R. Painter, 2000. "Rivers, blood and transportation networks," Nature, Nature, vol. 408(6809), pages 159-159, November.
    • Handle: RePEc:nat:nature:v:408:y:2000:i:6809:d:10.1038_35041631
    DOI: 10.1038/35041631
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    Cited by:

    1. Zachary P Neal, 2018. "The urban metabolism of airline passengers: Scaling and sustainability," Urban Studies, Urban Studies Journal Limited, vol. 55(1), pages 212-225, January.

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