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Part of the book series: Texts in Applied Mathematics ((TAM,volume 10))

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Abstract

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

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

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

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

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  • 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.

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© 2002 Springer-Verlag New York, Inc.

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Hoppensteadt, F.C., Peskin, C.S. (2002). Muscle Mechanics. In: Modeling and Simulation in Medicine and the Life Sciences. Texts in Applied Mathematics, vol 10. Springer, New York, NY. https://doi.org/10.1007/978-0-387-21571-6_6

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  • DOI: https://doi.org/10.1007/978-0-387-21571-6_6

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-2871-9

  • Online ISBN: 978-0-387-21571-6

  • eBook Packages: Springer Book Archive

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