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Optimal systems: III. Muscle

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Abstract

The optimal systems approach to the muscular system leads to difficulties since the properties of the muscular system are determined to a great extent by the nature of the contractile unit or molecule. This unit has determined the morphology and dynamic characteristics of muscle, and only smaller order alterations are then possible to adapt muscle to its several functions.

A model of the contractile unit is developed that shows agreement with experimental findings with respect to the velocity-load relation, heat effects, and several aspects of knowledge of the structure of the contractile proteins.

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Literature

  • Buchtal, F. and E. Kaiser. 1951. “The rheology of the Cross Striated Muscle Fibre.”Dan. Biol. Medd.,21, 1–318.

    Google Scholar 

  • Cohn, D. L. 1954. “Optimal Systems: I. The Vascular System.”Bull. Math. Biophysics,16, 59–74.

    Article  Google Scholar 

  • — 1955. “Optimal Systems: II. The Vascular System (Cont'd.)” —Ibid.,,17, 219–27.

    Article  Google Scholar 

  • Davson, H. 1952.A Textbook of General Physiology. Philadelphia: The Blakiston Company.

    Google Scholar 

  • Dubuisson, M. 1954.Muscular Contraction. Springfields, Ill.: Charles C. Thomas.

    Google Scholar 

  • Hill, A. V. 1938–39. “The Heat of Shortening and the Dynamic Constants of Muscle.”Proc. Roy. Soc., B,126, 136–95.

    Article  Google Scholar 

  • — 1949. “Does Heart Production Precede Mechanical Response in Muscular Contraction?” —Ibid.,,137, 268–73.

    Google Scholar 

  • Mommaerts, W. F. H. M. 1950.Muscular Contraction. New York and London: Interscience Publishers.

    Google Scholar 

  • Needham, D. M. 1950. “Myosin and Adenosinetriphosphate in Relation to Muscular Contraction.”Biochimica et Biophysica Acta,4, 42–49.

    Article  Google Scholar 

  • Pauling, L. and R. B. Corey. 1951a. “The Pleated Sheet, a New Layer Configuration of Polypeptide Chains.”Proc. Nat. Acad. Sci.,37, 251–60.

    Article  Google Scholar 

  • — 1951b. “The Structure of Hair, Muscle, and Related Proteins.” —Ibid.,,37, 261–71.

    Article  Google Scholar 

  • Pauling L., R. E. Corey, and H. R. Bramson. 1951. “The Structure of Proteins: Two Hydrogen-Bonded helica Configurations of the Polypeptide Chain.”Proc. Nat. Acad. Sci.,37, 205–11.

    Article  Google Scholar 

  • Polissar, M. J. 1952. “Physical Chemistry of Contractile Process in Muscle.”Am. Jour. Physiol.,168, 766–811.

    Google Scholar 

  • — 1944. “Muscle: Physics.”Medical Physics, I, pp. 784–98. (Ed. O. Glasser). Chicago: The Year Book Publishers.

    Google Scholar 

  • Ramsey, R. W. 1947. “Dynamics of Single Muscle Fibers.”Ann. N.Y. Acad. Sci.,47, 675–95.

    Google Scholar 

  • Rashevsky, N. 1948.Mathematical Biophysics. Chicago: The University of Chicago Press.

    MATH  Google Scholar 

  • Szent-Gyorgyi, A. 1951.Chemistry of Muscular Contraction. New York: Academic Press.

    Google Scholar 

  • Wilkie, D. R. 1954. “Facts and Theories about Muscle.”Progress in Biophysics, IV, pp. 288–324. (Ed. J. A. V. Butler and J. T. Randall) New York: Academic Press.

    Google Scholar 

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Cohn, D.L. Optimal systems: III. Muscle. Bulletin of Mathematical Biophysics 17, 309–329 (1955). https://doi.org/10.1007/BF02477756

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  • DOI: https://doi.org/10.1007/BF02477756

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