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. The macroscopic behavior of muscle is described by a relationship between force and velocity known as the “force-velocity curve.” We shall see how this relationship is a consequence of the collective behavior of a large number of tiny crossbridges that are the microscopic agents of muscle contraction.


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Annotated References

  1. Huxley, A. F.: Reflections on Muscle (The Sherrington Lectures XIV). Princeton University Press, Princeton, NJ, 1980.Google Scholar
  2. 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
  3. Huxley, A.F.: Muscle structure and theories of contraction. Progress in Biophysics 7, 255–318, 1957.Google Scholar
  4. Lacker, H.M. and Peskin, C.S.: A mathematical method for the unique determination of crossbridge 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-Verlag New York, Inc. 2002

Authors and Affiliations

  • Frank C. Hoppensteadt
    • 1
  • Charles S. Peskin
    • 2
  1. 1.Center for Systems Science and EngineeringArizona State UniversityTempeUSA
  2. 2.Department of Mathematics Courant Institute of Mathematical SciencesNew York UniversityNew YorkUSA

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