Bulletin of Mathematical Biology

, Volume 41, Issue 6, pp 791–802 | Cite as

A simple anatomical model of muscle, and the effects of internal pressure

  • B. Heukelom
  • A. van der Stelt
  • P. C. Diegenbach


The purpose of this study is to investigate the relationship between the structure of muscle and its function, especially with regard to the influence of the internal pressure when a muscle contracts. A model is constructed based on the anatomy of muscle. For difference shapes of muscle, but of equal volume, the muscle features (i.e. force exerted etc.) are computed after every contraction step. A function for the internal pressure is also calculated. The internal pressure influences the structure of the muscle which also depends in a certain way upon the function of the muscle.


Muscle Fiber Internal Pressure Total Work Single Muscle Fiber Outer Fiber 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. Bendall, J. R. 1974.Molecules and Movement. Heinemann: London.Google Scholar
  2. Benninghof, A. and H. Rollhauser. 1952. “Zur inneren Mechanik des gefiederten Muskels.”Plugers Arch.,254, 527–548.CrossRefGoogle Scholar
  3. Briskey, E. J., R. G. Gassens and B. B. Marsh. Eds. 1970.The Physiology and Biochemistry of Muscle. Wisconsin: The University Wisconsin Press.Google Scholar
  4. Gans, C. and W. J. Bock. 1965. “The functional significance of muscle architecture.”Ergebn. Anat. EntwGesch.,38, 110–142.Google Scholar
  5. Carlson, F. D. and D. R. Wilkie. 1974.Muscle Physiology. Prentice Hall.Google Scholar
  6. Hill, A. V. 1938. “The heat of shortening and the dynamic constants of muscle.”Proc. R. Soc. B.,126, 136–195.CrossRefGoogle Scholar
  7. —. 1970.First and Last Experiments in Muscle Mechanics. Cambridge: Cambridge University Press.Google Scholar
  8. Jewell, B. R. and D. R. Wilkie. 1960. “The mechanical properties of relaxing muscle.”J. Physiol.,152, 30, 47.Google Scholar
  9. Monod, H. 1973. “How muscles are used in the body.” InThe Structure and Function of Muscle. Ed. G. H. Bourne. Academic Press.Google Scholar
  10. Rashevsky, N. 1975. “Models and mathematical principles.” InTheoretical and Mathematical Biology. Eds. T. H. Waterman and H. J. Morowitz. New York: Blaisdell.Google Scholar
  11. Rosen, R. 1967.Optimality Principles in Biology. London: Butherwords.MATHGoogle Scholar
  12. Stelt, A. van der. 1968.Spiermechanica Bij Vissen. Amsterdam: Veen.Google Scholar

Copyright information

© Society for Mathematical Biology 1979

Authors and Affiliations

  • B. Heukelom
    • 1
  • A. van der Stelt
    • 1
  • P. C. Diegenbach
    • 1
  1. 1.Zoological LaboratoryAmsterdamNetherlands

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