A theory of contraction and a mathematical model of striated muscle.

Abstract A theory of contraction and an associated model of striated muscle are presented, based on the assumption that chemical energy is being converted into electrical energy which, in turn, is being converted into mechanical energy and heat. The model, set up for the frog sartorius muscle, is able to predict the “rowing” motion of the cross-bridges, the force-velocity relation, the tension-length curve, the isometric force, all energy rates (heat and work rates), the metabolic rates and all known features of the stretched, stimulated muscle (no ATP-splitting, stretching tension higher than isometric tension, etc.). It also offers an alternative explanation for Hill's thermoelastic effect. The significance of Hill's force-velocity equation in the context of this theory is also discussed in detail.

[1]  G. Goldspink,et al.  Energy utilization by mammalian fast and slow muscle in doing external work. , 1970, Biochimica et biophysica acta.

[2]  S. Lowey,et al.  Substructure of the myosin molecule. I. Subfragments of myosin by enzymic degradation. , 1969, Journal of molecular biology.

[3]  H. Gonzalez-serratos Inward spread of activation in vertebrate muscle fibres , 1971, The Journal of physiology.

[4]  R. Davies,et al.  A Molecular Theory of Muscle Contraction : Calcium-Dependent Contractions with Hydrogen Bond Formation Plus ATP-Dependent Extensions of Part of the Myosin-Actin Cross-Bridges , 1963, Nature.

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

[6]  The validity of applying irreversible thermodynamics to muscular contraction. , 1971, Physics in medicine and biology.

[7]  A. Hill Production and absorption of work by muscle. , 1960, Science.

[8]  J. Délèze,et al.  The mechanical properties of the semitendinosus muscle at lengths greater than its length in the body , 1961, The Journal of physiology.

[9]  R. Close,et al.  The relation between intrinsic speed of shortening and duration of the active state of muscle. , 1965, The Journal of physiology.

[10]  G. Cavagna,et al.  The mechanics of sprint running , 1971, The Journal of physiology.

[11]  K. Holmes,et al.  Induced Changes in Orientation of the Cross-Bridges of Glycerinated Insect Flight Muscle , 1965, Nature.

[12]  W. Mommaerts,et al.  The metabolism of phosphocreatine during an isometric tetanus in the frog sartorius muscle , 1963 .

[13]  Saul Winegrad,et al.  Autoradiographic Studies of Intracellular Calcium in Frog Skeletal Muscle , 1965, The Journal of general physiology.

[14]  R. H. Adrian,et al.  The kinetics of mechanical activation in frog muscle , 1969, The Journal of physiology.

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

[16]  J. Gillis,et al.  The site of action of calcium in producing contraction in striated muscle , 1969, The Journal of physiology.

[17]  K. Edman,et al.  Laser Diffraction Studies on Single Skeletal Muscle Fibers , 1969, Science.

[18]  B. R. Jewell,et al.  An analysis of the mechanical components in frog's striated muscle , 1958, The Journal of physiology.