A macroscopic ansatz to deduce the Hill relation.

[1]  H. Lupton,et al.  The relation between the external work produced and the time occupied in a single muscular contraction in man , 1922, The Journal of physiology.

[2]  A. Hill.  The maximum work and mechanical efficiency of human muscles, and their most economical speed , 1922, The Journal of physiology.

[3]  Hartley Lupton,et al.  An analysis of the effects of speed on the mechanical efficiency of human muscular movement , 1923, The Journal of physiology.

[4]  A. Hill,et al.  The Dynamics of Muscular Contraction , 1924 .

[5]  A. Levin,et al.  The Viscous Elastic Properties of Muscle , 1927 .

[6]  W. O. Fenn,et al.  Muscular force at different speeds of shortening , 1935, The Journal of physiology.

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

[8]  B. Katz.  The relation between force and speed in muscular contraction , 1939, The Journal of physiology.

[9]  Archibald Vivian Hill,et al.  The series elastic componet of muscle , 1950, Proceedings of the Royal Society of London. Series B - Biological Sciences.

[10]  B. C. Abbott,et al.  The relation between velocity of shortening and the tension‐length curve of skeletal muscle , 1953, The Journal of physiology.

[11]  H. Huxley,et al.  Structural Basis of the Cross-Striations in Muscle , 1953, Nature.

[12]  H. Huxley,et al.  Changes in the Cross-Striations of Muscle during Contraction and Stretch and their Structural Interpretation , 1954, Nature.

[13]  A. Huxley,et al.  Structural Changes in Muscle During Contraction: Interference Microscopy of Living Muscle Fibres , 1954, Nature.

[14]  A. Huxley.  Muscle structure and theories of contraction. , 1957, Progress in biophysics and biophysical chemistry.

[15]  A. Hill.  The effect of load on the heat of shortening of muscle , 1964, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[16]  R. Woledge.  The energetics of tortoise muscle , 1968, The Journal of physiology.

[17]  A. Hill.  First and Last Experiments in Muscle Mechanics , 1970 .

[18]  A. Huxley,et al.  A note suggesting that the cross-bridge attachment during muscle contraction may take place in two stages , 1973, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[19]  J W Krueger,et al.  Myocardial sarcomere dynamics during isometric contraction. , 1975, The Journal of physiology.

[20]  K. Edman,et al.  Non-hyperbolic force-velocity relationship in single muscle fibres. , 1976, Acta physiologica Scandinavica.

[21]  Y. Nonomura,et al.  Connectin, an elastic protein of muscle. Characterization and Function. , 1977, Journal of biochemistry.

[22]  M. Noble,et al.  Enhancement of mechanical performance by stretch during tetanic contractions of vertebrate skeletal muscle fibres. , 1978, The Journal of physiology.

[23]  A. Huxley,et al.  The relation between stiffness and filament overlap in stimulated frog muscle fibres. , 1981, The Journal of physiology.

[24]  Thomas A. McMahon,et al.  Muscles, Reflexes, and Locomotion , 1984 .

[25]  J A Faulkner,et al.  Shortening velocity extrapolated to zero load and unloaded shortening velocity of whole rat skeletal muscle. , 1985, The Journal of physiology.

[26]  L C Rome,et al.  The maximum speed of shortening in living and skinned frog muscle fibres. , 1986, The Journal of physiology.

[27]  G. Elzinga,et al.  Stable maintenance heat rate and contractile properties of different single muscle fibres from Xenopus laevis at 20 degrees C. , 1987, The Journal of physiology.

[28]  K. Edman.  Double‐hyperbolic force‐velocity relation in frog muscle fibres. , 1988, The Journal of physiology.

[29]  Toshio Yanagida,et al.  Force measurements by micromanipulation of a single actin filament by glass needles , 1988, Nature.

[30]  F. Zajac.  Muscle and tendon: properties, models, scaling, and application to biomechanics and motor control. , 1989, Critical reviews in biomedical engineering.

[31]  J. Winters.  Hill-Based Muscle Models: A Systems Engineering Perspective , 1990 .

[32]  Jack M. Winters,et al.  Multiple Muscle Systems , 1990, Springer New York.

[33]  W S Levine,et al.  An optimal control model for maximum-height human jumping. , 1990, Journal of biomechanics.

[34]  R. Cooke,et al.  Determination of the myosin step size from mechanical and kinetic data. , 1993, Proceedings of the National Academy of Sciences of the United States of America.

[35]  K. Wang,et al.  Viscoelasticity of the sarcomere matrix of skeletal muscles. The titin-myosin composite filament is a dual-stage molecular spring. , 1993, Biophysical journal.

[36]  N. Curtin,et al.  EFFICIENCY OF ENERGY CONVERSION DURING SINUSOIDAL MOVEMENT OF RED MUSCLE FIBRES FROM THE DOGFISH SCYLIORHINUS CANICULA , 1993 .

[37]  C. Gibbs,et al.  Energetics of fast‐ and slow‐twitch muscles of the mouse. , 1993, The Journal of physiology.

[38]  C. Barclay,et al.  Efficiency of fast- and slow-twitch muscles of the mouse performing cyclic contractions. , 1994, The Journal of experimental biology.

[39]  R. Cooke,et al.  A model of the release of myosin heads from actin in rapidly contracting muscle fibers. , 1994, Biophysical journal.

[40]  Y Ueno,et al.  X-ray diffraction evidence for the extensibility of actin and myosin filaments during muscle contraction. , 1994, Biophysical journal.

[41]  H E Huxley,et al.  X-ray diffraction measurements of the extensibility of actin and myosin filaments in contracting muscle. , 1994, Biophysical journal.

[42]  A. Huxley,et al.  Actin compliance: are you pulling my chain? , 1994, Biophysical journal.

[43]  G. Piazzesi,et al.  A cross-bridge model that is able to explain mechanical and energetic properties of shortening muscle. , 1995, Biophysical journal.

[44]  C. Barclay.  Mechanical efficiency and fatigue of fast and slow muscles of the mouse. , 1996, The Journal of physiology.

[45]  S. Shroff,et al.  Detachment of low‐force bridges contributes to the rapid tension transients of skinned rabbit skeletal muscle fibres , 1997, The Journal of physiology.

[46]  K. Edman,et al.  The Biphasic Force–Velocity Relationship in Frog Muscle Fibres and its Evaluation in Terms of Cross‐Bridge Function , 1997, The Journal of physiology.

[47]  G. Piazzesi,et al.  Cross‐bridge detachment and attachment following a step stretch imposed on active single frog muscle fibres. , 1997, The Journal of physiology.

[48]  G H Pollack,et al.  Elastic properties of isolated thick filaments measured by nanofabricated cantilevers. , 1998, Biophysical journal.

[49]  T L Daniel,et al.  Compliant realignment of binding sites in muscle: transient behavior and mechanical tuning. , 1998, Biophysical journal.

[50]  A. Huxley.  Mechanics and models of the myosin motor. , 2000, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[51]  J. M. Fernández,et al.  Unfolding of titin domains explains the viscoelastic behavior of skeletal myofibrils. , 2001, Biophysical journal.

[52]  Paul Keim,et al.  Do muscles function as adaptable locomotor springs? , 2002, The Journal of experimental biology.

[53]  Gaudenz Danuser,et al.  Single muscle fiber contraction is dictated by inter-sarcomere dynamics. , 2002, Journal of theoretical biology.

[54]  M. Günther,et al.  Synthesis of two-dimensional human walking: a test of the λ-model , 2003, Biological Cybernetics.

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

[56]  Josh E. Baker,et al.  A thermodynamic muscle model and a chemical basis for A.V. Hill's muscle equation , 2000, Journal of Muscle Research & Cell Motility.

[57]  C. Barclay,et al.  A weakly coupled version of the Huxley crossbridge model can simulate energetics of amphibian and mammalian skeletal muscle , 2004, Journal of Muscle Research & Cell Motility.

[58]  Gabriella Piazzesi,et al.  Simulation of the rapid regeneration of the actin-myosin working stroke with a tight coupling model of muscle contraction , 1996, Journal of Muscle Research & Cell Motility.

[59]  Maarten F. Bobbert,et al.  The contribution of muscle properties in the control of explosive movements , 1993, Biological Cybernetics.

[60]  H. Huxley.  Fifty years of muscle and the sliding filament hypothesis. , 2004, European journal of biochemistry.

[61]  G. Lichtwark,et al.  A modified Hill muscle model that predicts muscle power output and efficiency during sinusoidal length changes , 2005, Journal of Experimental Biology.

[62]  Sean X Sun,et al.  Dynamics of myosin-driven skeletal muscle contraction: I. Steady-state force generation. , 2005, Biophysical journal.

[63]  R. Cooke,et al.  Simulation of stochastic processes in motile crossbridge systems , 1991, Journal of Muscle Research & Cell Motility.

[64]  Maarten F Bobbert,et al.  Is equilibrium point control feasible for fast goal-directed single-joint movements? , 2006, Journal of neurophysiology.

[65]  M. Bobbert,et al.  Evaluation of a Hill based muscle model for the energy cost and efficiency of muscular contraction. , 2006, Journal of biomechanics.

[66]  V. Wank,et al.  Muscle Growth and Fiber Type Composition in Hind Limb Muscles during Postnatal Development in Pigs , 2006, Cells Tissues Organs.

[67]  James J. Feng,et al.  Mathematical simulation of muscle cross-bridge cycle and force-velocity relationship. , 2006, Biophysical journal.

[68]  N. Curtin,et al.  Energy turnover for Ca2+ cycling in skeletal muscle , 2007, Journal of Muscle Research and Cell Motility.

[69]  Constantinos N Maganaris,et al.  The passive, human calf muscles in relation to standing: the short range stiffness lies in the contractile component , 2007, The Journal of physiology.

[70]  Veit Wank,et al.  High-frequency oscillations as a consequence of neglected serial damping in Hill-type muscle models , 2007, Biological Cybernetics.

[71]  J. Denoth,et al.  Sarcomere dynamics during muscular contraction and their implications to muscle function , 2007, Journal of Muscle Research and Cell Motility.

[72]  C. Reggiani.  When fibres go slack and cross bridges are free to run: a brilliant method to study kinetic properties of acto‐myosin interaction , 2007, The Journal of physiology.

[73]  A. Büschges,et al.  The extensor tibiae muscle of the stick insect: biomechanical properties of an insect walking leg muscle , 2007, Journal of Experimental Biology.

[74]  G. Lichtwark,et al.  The mechanics of mouse skeletal muscle when shortening during relaxation. , 2007, Journal of biomechanics.

[75]  H. Huxley.  Memories of early work on muscle contraction and regulation in the 1950's and 1960's. , 2008, Biochemical and biophysical research communications.