Bioelectrochemical control mechanism with variable-frequency regulation for skeletal muscle contraction—Biomechanics of skeletal muscle based on the working mechanism of myosin motors (II)

This paper presents a bioelectrochemical model for the activation of action potentials on sarcolemma and variation of Ca2+ concentration in sarcomeres of skeletal muscle fibers. The control mechanism of muscle contraction generated by collective motion of molecular motors is elucidated from the perspective of variable-frequency regulation, and action potential with variable frequency is proposed as the control signal to directly regulate Ca2+ concentration and indirectly control isometric tension. Furthermore, the transfer function between stimulation frequency and Ca2+ concentration is deduced, and the frequency domain properties of muscle contraction are analyzed. Moreover the conception of “electro-muscular time constant” is defined to denote the minimum delay time from electric stimulation to muscle contraction. Finally, the experimental research aiming at the relation between tension and stimulation frequency of action potential is implemented to verify the proposed variable-frequency control mechanism, whose effectiveness is proved by good consistence between experimental and theoretical results.

[1]  T. Kesar,et al.  Effects of stimulation frequency versus pulse duration modulation on muscle fatigue. , 2008, Journal of electromyography and kinesiology : official journal of the International Society of Electrophysiological Kinesiology.

[2]  A. Huxley Muscular contraction. Review lecture , 1974 .

[3]  Antoine M. Hakim The Neuron : Cell and Molecular Biology, 2nd edition , 1999 .

[4]  James A. Spudich,et al.  How molecular motors work , 1994, Nature.

[5]  Jiqing Guo,et al.  Effect of stimulation rate, sarcomere length and Ca2+ on force generation by mouse cardiac muscle , 2002, The Journal of physiology.

[6]  J. R. Monck,et al.  Localization of the site of Ca2 + release at the level of a single sarcomere in skeletal muscle fibres , 1994, Nature.

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

[8]  M. Nakasako,et al.  Crystal structure of the calcium pump of sarcoplasmic reticulum at 2.6 Å resolution , 2000, Nature.

[9]  Harold P. Erickson,et al.  Purification and reconstitution of the calcium release channel from skeletal muscle , 1988, Nature.

[10]  Luo Zhizeng,et al.  Based on the Power-spectrum to Classify the Pattern of the Surface Electromyography , 2005 .

[11]  M. Endo Calcium-induced calcium release in skeletal muscle. , 2009, Physiological reviews.

[12]  S. Baylor,et al.  Calcium indicators and calcium signalling in skeletal muscle fibres during excitation-contraction coupling. , 2011, Progress in biophysics and molecular biology.

[13]  R. Merletti,et al.  Muscle fiber conduction velocity is more affected after eccentric than concentric exercise , 2011, European Journal of Applied Physiology.

[14]  A. Martonosi,et al.  Two-dimensional arrays of proteins in sarcoplasmic reticulum and purified Ca2+-ATPase vesicles treated with vanadate. , 1983, The Journal of biological chemistry.

[15]  Yuehong Yin,et al.  A dynamic model of skeletal muscle based on collective behavior of myosin motors—Biomechanics of skeletal muscle based on working mechanism of myosin motors (I) , 2012 .

[16]  Yuehong Yin,et al.  Collective mechanism of molecular motors and a dynamic mechanical model for sarcomere , 2011 .

[17]  Alan J. McComas,et al.  Skeletal Muscle: Form and Function , 1996 .

[18]  M. Regnier,et al.  Thin filament Ca2+ binding properties and regulatory unit interactions alter kinetics of tension development and relaxation in rabbit skeletal muscle , 2008, The Journal of physiology.

[19]  Isuru D. Jayasinghe,et al.  Organization of ryanodine receptors, transverse tubules, and sodium-calcium exchanger in rat myocytes. , 2009, Biophysical journal.

[20]  Jachen Denoth,et al.  Half-sarcomere dynamics in myofibrils during activation and relaxation studied by tracking fluorescent markers. , 2006, Biophysical journal.

[21]  Madeleine M. Lowery,et al.  Effect of Extracellular Potassium Accumulation on Muscle Fiber Conduction Velocity: A Simulation Study , 2009, Annals of Biomedical Engineering.

[22]  J. Duchateau,et al.  Muscle fatigue during concentric and eccentric contractions , 2000, Muscle & nerve.

[23]  H. Takeshima,et al.  Primary structure and expression from complementary DNA of skeletal muscle ryanodine receptor , 1989, Nature.

[24]  Leonard K. Kaczmarek,et al.  The Neuron: Cell and Molecular Biology , 1991 .

[25]  V. Flockerzi,et al.  Primary structure of the receptor for calcium channel blockers from skeletal muscle , 1987, Nature.

[26]  H E Huxley,et al.  The Mechanism of Muscular Contraction , 1965, Scientific American.

[27]  P A Merton,et al.  Fatigue of long duration in human skeletal muscle after exercise. , 1977, The Journal of physiology.

[28]  K. Mills,et al.  Critical illness myopathy: Further evidence from muscle‐fiber excitability studies of an acquired channelopathy , 2008, Muscle & nerve.

[29]  D. Allen,et al.  Model of calcium movements during activation in the sarcomere of frog skeletal muscle. , 1984, Biophysical journal.

[30]  C. Kleeman,et al.  Clinical disorders of fluid and electrolyte metabolism , 1987 .

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

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