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Acta Biotheoretica

, Volume 42, Issue 4, pp 263–269 | Cite as

Metabolic rate and body size

A new view on the ‘surface law’ for basic metabolic rate
  • D. H. Spaargaren
Article

Abstract

In larger animals a considerable part of the total body mass (e.g. body water, dissolved substances, mineral and organic deposits) does not consume significant amounts of oxygen. These materials can be considered to form a metabolically inert infrastructure which mainly serves three functions: (1) structural support to the organism, (2) storage of nutrients (building material and energy stores) and (3) transport and distribution of these materials. Considering the transport and support function of the metabolically inert structures and their interconnections it is likely that the infrastructure will basically show some tree-like, branching building plan. The weight of the metabolically inert infrastructure of an organism, can be given by bW/(c+W), in which W=body weight, b and c are constants. With increasing size the weight of the metabolic inert infrastructure increases disproportionably. Experimental data concerning basic metabolic rate (M) in relation to body weight (W) better fit the equation M=a W(1-bW)/(c+W), (a=constant) than the conventional power law.

Key words

solute exchange metabolic rate surface law branching structures body weight 

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References

  1. Bridgeman, (1931). Dimensional Analysis. Connecticut, Yale university Press.Google Scholar
  2. Fenchel, T. (1974). Oecologia 14: 317.Google Scholar
  3. Gray, B.F. (1981). On the “surface law” and basal metabolic rate. J. Theor. Biol. 93: 757–767.Google Scholar
  4. Günther, B. (1975). Biological similarities. Physiol. Rev. 55: 659.Google Scholar
  5. Günther, B., E. Morgado and U. Gonzalez (1993). Oxidative metabolism and body weight: inactive, active and mitochondrial volumes. Biol. Res. 26: 341–355.Google Scholar
  6. Hemmingsen, A.M. (1960). Metabolism in relation to body size. Rep. Steno Mem. Hosp. Nordisk insulin lab. 9: 1–110.Google Scholar
  7. Kleiber, M. (1961). Fire of Life — An Introduction to Animal Energetics. New York, Wiley.Google Scholar
  8. Platt, T. and W. Silvert (1981). Ecology, physiology, allometry and dimensionality. J. Theor. Biol. 93: 855–860.Google Scholar
  9. Prosser, C.L. (1973). Oxygen: respiration and metabolism. In: C.L. Prosser, ed., Comparative Animal Physiology, pp. 165–211 Philadelphia, London, W. B. Saunders.Google Scholar
  10. Schmidt-Nielsen, K. (1984). Scaling, why is Animal Size so Important? Cambridge University Press.Google Scholar
  11. Spaargaren, D.H. (1992). Transport function of branching structures and the “surface law” for basic metabolic rate. J. Theor. Biol. 154: 495–504.Google Scholar
  12. Suarez, R.K. (1992). Hummingbird flight: sustaining the highest mass specific metaolic rates among vertebrates. Experientia 48: 565–570.Google Scholar
  13. Wilkie, E.R. (1977). In: T.J. Pedley, ed., Scale Effects in Locomotion. London, Academic Press.Google Scholar

Copyright information

© Kluwer Academic Publishers 1994

Authors and Affiliations

  • D. H. Spaargaren
    • 1
  1. 1.Netherlands Institute for Sea ResearchDen Burg, TexelThe Netherlands

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