Muscle Mechanics

  • Frank C. Hoppensteadt
  • Charles S. Peskin
Part of the Texts in Applied Mathematics book series (TAM, volume 10)


In this chapter, we consider some macroscopic and microscopic aspects of how muscles work.


Thin Filament Isometric Force Equilibrium Configuration Thick Filament Microscopic Aspect 
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Annotated References

There are many aspects of muscle mechanics that could not be covered in this introductory Chapter. The reader who would like a more comprehensive treatment of the subject will find it in

  1. Huxley, A.F.: Reflections on Muscle (The Sherrington Lectures XIV). Princeton University Press, Princeton, NJ, 1980.Google Scholar

The classic paper on the force—velocity curve of muscle is that of A.V. Hill

  1. Hill, A.V.: The heat of shortening and the dynamic constants of muscle. Proceedings of the Royal Society B 126, 136–195, 1938.CrossRefGoogle Scholar

The idea that the mechanical behavior of muscle could be explained in terms of the dynamics of the cross-bridge population was introduced by A.F. Huxley

  1. Huxley, A.F.: Muscle structure and theories of contraction. Progress in Biophysics 7, 255–318, 1957.Google Scholar

The particular cross-bridge theory used in this Chapter is similar to Huxley’s but not quite the same. It was introduced in the Ph.D. thesis of H.M. Lacker and is further discussed in the following reference

  1. Lacker, H.M. and Peskin, C.S.: A mathematical method for the unique determination of cross-bridge properties from steady state mechanical and energetic experiments on macroscopic muscle Lectures on Mathematics in the Life Sciences 16, American Mathematical Society, Providence, RI, 1986, 121–153.Google Scholar

Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • Frank C. Hoppensteadt
    • 1
  • Charles S. Peskin
    • 2
  1. 1.College of Natural ScienceMichigan State UniversityEast LansingUSA
  2. 2.Courant Institute of Mathematical SciencesNew York UniversityNew YorkUSA

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