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Tension responses of muscle ton-step pseudo-random length reversals: A frequency domain representation

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Summary

A high resolution, time efficient method is described for determining the complex modulus of activated striated muscle. In this method the applied oscillation of muscle length takes the form of pseudo-random binary noise, PRBN. As a time-domain signal, PRBN is an extension of the double step approach to includen steps; as a frequency-domain signal, PRBN has the properties of quasi-white noise. Fourier analysis of the PRBN length oscillations and the resulting interrupted tension transients gives rise to the complex modulus values. PRBN provides a practical demonstration of the conceptual link between time and frequency domain descriptions of strain sensitive dynamics. The method is demonstrated with intact rat papillary muscle, and glycerol extracted rabbit psoas muscle.

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References

  • Abbott, R. H. (1973) The effects of fibre length and calcium ion concentration on the dynamic response of glycerol extracted insect fibrillar muscle.J. Physiol., Lond. 231, 195–208.

    Google Scholar 

  • Abbott, R. H. &Steiger, G. J. (1977) Temperature and amplitude dependence of tension transients in glycerinated skeletal and insect fibrillar muscle.J. Physiol., Lond. 266, 13–42.

    Google Scholar 

  • Bendat, J. S. &Piersol, G. (1971)Random Data; Analysis and Measurement Procedures. New York: Wiley-Interscience.

    Google Scholar 

  • Briggs, P. A. N., Godfrey, K. R. &Hammond, P. H. (1967) Estimation of process dynamic characteristics by correlation methods using pseudo random signals.IFAC Symposium on Identification in Automatic Control Systems, Prague, 1–12.

  • Brigham, E. O. (1974)The Fast Fourier Transform. Englewood Cliffs, New Jersey: Prentice Hall.

    Google Scholar 

  • Cuminetti, R. &Rossmanith, G. H. (1980) Small amplitude non-linearities in the mechanical response of an asynchronous flight muscle.J. Musc. Res. Cell Motility 1, 345–56.

    Google Scholar 

  • Davies, W. D. T. (1966) Generation and properties of maximum-length sequences.Control 10, 302–4.

    Google Scholar 

  • Halpern, W. &Alpert, N. R. (1971) A stochastic signal method for measuring dynamic mechanical properties of muscle.J. appl. Physiol. 31, 913–25.

    Google Scholar 

  • Huxley, A. F. &Simmons, R. M. (1971) Proposed mechanism of force generation in striated muscle.Nature, Lond. 233, 553–8.

    Google Scholar 

  • Huxley, A. F. &Simmons, R. M. (1973) Mechanical transients and the origin of muscular force.Cold Spring Harb. Symp. quant. Biol. 37 661–8.

    Google Scholar 

  • Uno, M. &Simmons, R. M. (1982) Tension responses to double step length changes in frog skinned muscle fibres.J. Physiol., Lond. 332, 54-5p.

    Google Scholar 

  • Kawai, M. &Brandt, P. W. (1980) Sinusoidal analysis: a high resolution method for correlating biochemical reactions with physiological processes in activated skeletal muscles of rabbit, frog and crayfish.J. Musc. Res. Cell Motility 1, 279–303.

    Google Scholar 

  • Rossmanith, G. H. (1977)Frequency-domain analysis and parameter identification of muscle substructures. PhD. Thesis, Macquarie University.

  • Rossmanith, G. H., Hoh, J. F. Y., Kirman, A. &Kwan, L. (1986) Influence of V1 and V3 isomyosins of the mechanical behaviour of rat papillary muscle as studied by pseudo-random binary noise modulated length perturbations.J. Musc. Res. Cell Motility 7 307–19.

    Google Scholar 

  • Rossmanith, G. H., Unsworth, J. &Bell, R. D. (1980) Frequency-domain study of the mechanical response of living striated muscle.Experientia 36, 51–3.

    Google Scholar 

  • Sagawa, K., Saeki, Y., Loeffler, L. &Nakayama, K. (1979) Dynamic stiffness of heart muscle in twitch and contracture. InCross-bridge Mechanism in Muscle Contraction (edited bySugi, H. andPollack, G. H.), pp. 171–90. Tokyo: University of Tokyo Press.

    Google Scholar 

  • Steiger, G. J. (1977) Stretch activation and tension transients in cardiac, skeletal and insect flight muscle.In Insect Flight (edited byTregear, R. T.), pp. 221–68. Amsterdam: North Holland.

    Google Scholar 

  • Steiger, G. J. (1978) Kinetic analysis of isometric tension transients in cardiac muscle. In cross-bridge mechanism in muscle contraction (edited bySugi, H. andPollock, G. H.), pp. 259–71. Tokyo: University of Tokyo Press.

    Google Scholar 

  • Thorson, J. &White, D. C. S. (1969) Distributed representations for actin-myosin interaction in the oscillatory contraction of muscle.Biophys. J. 9, 360–90.

    Google Scholar 

  • White, D. C. S. &Thorson, J. (1972) Phosphate starvation and the non-linear dynamics of insect fibrillar flight muscle.J. gen. Physiol. 60, 307–36.

    Google Scholar 

  • White, D. C. S. &Thorson, J. (1973) The kinetics of muscle contraction.Prog. Biophys. molec. Biol 27, 173–255.

    Google Scholar 

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Authors and Affiliations

  1. School of Mathematics and Physics, Macquarie University, 2113, North Ryde, New South Wales, Australia

    G. H. Rossmanith

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  1. G. H. Rossmanith
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Rossmanith, G.H. Tension responses of muscle ton-step pseudo-random length reversals: A frequency domain representation. J Muscle Res Cell Motil 7, 299–306 (1986). https://doi.org/10.1007/BF01753650

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  • DOI: https://doi.org/10.1007/BF01753650

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