Abstract
In this chapter, we consider some macroscopic and microscopic aspects of how muscles work.
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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
Huxley, A.F.: Reflections on Muscle (The Sherrington Lectures XIV). Princeton University Press, Princeton, NJ, 1980.
The classic paper on the force—velocity curve of muscle is that of A.V. Hill
Hill, A.V.: The heat of shortening and the dynamic constants of muscle. Proceedings of the Royal Society B 126, 136–195, 1938.
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
Huxley, A.F.: Muscle structure and theories of contraction. Progress in Biophysics 7, 255–318, 1957.
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
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.
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© 1992 Springer Science+Business Media New York
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Hoppensteadt, F.C., Peskin, C.S. (1992). Muscle Mechanics. In: Mathematics in Medicine and the Life Sciences. Texts in Applied Mathematics, vol 10. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4131-5_10
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DOI: https://doi.org/10.1007/978-1-4757-4131-5_10
Publisher Name: Springer, New York, NY
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