A rheological motor model for vertebrate skeletal muscle in due consideration of non-linearity.

A rheological motor model that satisfies the major mechanical properties of the skeletal muscle is proposed. The model consists of two Maxwell elements and a Voigt element connected in parallel with each other and has a force generator in it. The model well explains the mechanical behavior in quick and slow recovery phases in the isometric contraction of the muscle and achieves a sufficient isotonic shortening speed. The energy liberation of the motor in isotonic contraction is calculated and a mechanism of control is proposed, which operates so as to decrease the dissipated energy by altering the weights of the elastic and viscous constants in Maxwell elements. And thereby it becomes possible for the motor to possess non-linearity in energy liberation and load-velocity relation alike in muscle. The model would be a base model to be utilized for analyzing the kinetics of human macrosystems and/or for modeling the human neuromuscular system of motion control.

[1]  Hubertus F.J.M. Koopman,et al.  Fully Isometric Length-Force Curves of Rat Muscle Differ from those during and after Concentric Contractions , 1997 .

[2]  W. Herzog,et al.  Can a rheological muscle model predict force depression/enhancement? , 1998, Journal of biomechanics.

[3]  H. Sugi,et al.  Stiffness changes in frog skeletal muscle during contraction recorded using ultrasonic waves. , 1988, The Journal of physiology.

[4]  James A. Spudich,et al.  Myosin subfragment-1 is sufficient to move actin filaments in vitro , 1987, Nature.

[5]  H. Hatze,et al.  A myocybernetic control model of skeletal muscle , 1977, Biological Cybernetics.

[6]  W Herzog,et al.  Effects of speed and distance of muscle shortening on force depression during voluntary contractions. , 2000, Journal of biomechanics.

[7]  T. L. Hill,et al.  Muscle contraction and free energy transduction in biological systems. , 1985, Science.

[8]  D. K. Hill,et al.  Tension due to interaction between the sliding filaments in resting striated muscle. the effect of stimulation , 1968, The Journal of physiology.

[9]  H. Hatze,et al.  Estimation of myodynamic parameter values from observations on isometrically contracting muscle groups , 2004, European Journal of Applied Physiology and Occupational Physiology.

[10]  Truong Xt.  Viscoelastic wave propagation and rheologic properties of skeletal muscle. , 1974 .

[11]  A. Huxley,et al.  Tension responses to sudden length change in stimulated frog muscle fibres near slack length , 1977, The Journal of physiology.

[12]  B. Treijtel,et al.  Elastic properties of relaxed, activated, and rigor muscle fibers measured with microsecond resolution. , 1988, Biophysical journal.

[13]  M. Geeves,et al.  Regulation of the interaction between actin and myosin subfragment 1: evidence for three states of the thin filament. , 1993, Biophysical journal.

[14]  K B Campbell,et al.  Stiffness-distortion sarcomere model for muscle simulation. , 1999, Journal of applied physiology.

[15]  A. Huxley,et al.  Cross-bridge action: present views, prospects, and unknowns. , 2000, Journal of biomechanics.

[16]  H. Hatze,et al.  Energy-optimal controls in the mammalian neuromuscular system , 1977, Biological Cybernetics.

[17]  Masataka Kawai,et al.  Sinusoidal analysis: a high resolution method for correlating biochemical reactions with physiological processes in activated skeletal muscles of rabbit, frog and crayfish , 1980, Journal of Muscle Research & Cell Motility.

[18]  A. Huxley,et al.  The variation in isometric tension with sarcomere length in vertebrate muscle fibres , 1966, The Journal of physiology.

[19]  A. Huxley,et al.  Proposed Mechanism of Force Generation in Striated Muscle , 1971, Nature.

[20]  T. Tsuchiya,et al.  Stiffness changes during enhancement and deficit of isometric force by slow length changes in frog skeletal muscle fibres. , 1988, The Journal of physiology.

[21]  A. Hill.  The heat of shortening and the dynamic constants of muscle , 1938 .

[22]  K. Edman,et al.  Depression of tetanic force induced by loaded shortening of frog muscle fibres. , 1993, The Journal of physiology.

[23]  K. Ranatunga,et al.  Temperature sensitivity of tension development in a fast‐twitch muscle of the rat , 1984, Muscle & nerve.

[24]  Thomas Stretch Dowse,et al.  MUSCLE AND NERVE , 1903 .

[25]  J. Butler,et al.  PROGRESS IN BIOPHYSICS AND BIOPHYSICAL CHEMISTRY , 1952 .

[26]  G. Shue,et al.  The frequency response of smooth muscle stiffness during Ca2+-activated contraction. , 1999, Biophysical journal.

[27]  S. Tideswell,et al.  Filament compliance and tension transients in muscle , 1996, Journal of Muscle Research & Cell Motility.

[28]  D. Maughan,et al.  Morphology and transverse stiffness of Drosophila myofibrils measured by atomic force microscopy. , 2000, Biophysical journal.

[29]  W Herzog,et al.  The history dependence of force production in mammalian skeletal muscle following stretch-shortening and shortening-stretch cycles. , 2000, Journal of biomechanics.