Simulation of Muscle-Tendon Complex During Human Movements

The purpose of this paper was to review the research findings regarding the biomechanical behavior of the muscle-tendon complex (MTC) during dynamic human movements, especially those obtained using computer simulation. Specific studies conducted by the authors using the free vibration technique and MTC modeling have been discussed in detail. For determining individual viscoelastic characteristics of the human triceps surae MTC groups, a race difference between Black and White college athletes was investigated using the free vibration technique. It was found that the muscle stiffness was greater among Black athletes. Through computer simulation using a Hill-type MTC model, the benefit of making a countermovement was investigated in relation to the length ratio between the contractile element (CE) and the series elastic element (SEE) and the compliance of the MTC. The integral roles of the SEE were simulated in a cyclic human heel-raise exercise. It was revealed that it is beneficial to make a countermovement for explosive activities like vertical jumping, and the benefit of making a countermovement increases as the compliance of the MTC increases. Also, using a MTC model, the effects of moment arm length on kinetic outputs of the musculoskeletal system were evaluated. It was found that longer moment arm resulted in smaller joint moment development, smaller joint power output and smaller joint work output in the larger plantarflexion angular velocity region. It can be said that computer simulation is a powerful tool for determining and evaluating MTC behavior during dynamic human movements.

[1]  Paavo V. Komi,et al.  In vivo human triceps surae and quadriceps femoris muscle function in a squat jump and counter movement jump , 2000, European Journal of Applied Physiology.

[2]  V. M. Zatsiorsky,et al.  Biomechanical characteristics of human ankle-joint muscles , 2004, European Journal of Applied Physiology and Occupational Physiology.

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

[4]  M. Miyashita,et al.  In vivo achilles tendon loading' during jumping in humans , 2004, European Journal of Applied Physiology and Occupational Physiology.

[5]  M. Bobbert,et al.  An estimation of power output and work done by the human triceps surae muscle-tendon complex in jumping. , 1986, Journal of biomechanics.

[6]  T J Roberts,et al.  Muscular Force in Running Turkeys: The Economy of Minimizing Work , 1997, Science.

[7]  M. Lafortune,et al.  Dominant role of interface over knee angle for cushioning impact loading and regulating initial leg stiffness. , 1996, Journal of biomechanics.

[8]  B. Nigg,et al.  Biomechanics of the musculo-skeletal system , 1995 .

[9]  Awj Sander Gielen,et al.  A Finite Element Approach for Skeletal Muscle using a Distributed Moment Model of Contraction , 2000, Computer methods in biomechanics and biomedical engineering.

[10]  R. Brand,et al.  Muscle fiber architecture in the human lower limb. , 1990, Journal of biomechanics.

[11]  H. M. Toussaint,et al.  Positive work as a function of eccentric load in maximal leg extension movements , 2004, European Journal of Applied Physiology and Occupational Physiology.

[12]  J. Fridén,et al.  Functional and clinical significance of skeletal muscle architecture , 2000, Muscle & nerve.

[13]  T Abe,et al.  Architectural characteristics of muscle in black and white college football players. , 1999, Medicine and science in sports and exercise.

[14]  P. Komi,et al.  Electromechanical delay in skeletal muscle under normal movement conditions. , 1979, Acta physiologica Scandinavica.

[15]  M. Bobbert,et al.  A model of the human triceps surae muscle-tendon complex applied to jumping. , 1986, Journal of biomechanics.

[16]  P. Rack,et al.  Elastic properties of the cat soleus tendon and their functional importance. , 1984, The Journal of physiology.

[17]  Graham E. Caldwell,et al.  Tendon Elasticity and Relative Length: Effects on the Hill Two-Component Muscle Model , 1995 .

[18]  Martyn R. Shorten,et al.  Muscle Elasticity and Human Performance , 1987 .

[19]  G. Loeb,et al.  Measured and modeled properties of mammalian skeletal muscle: III. the effects of stimulus frequency on stretch-induced force enhancement and shortening-induced force depression , 2004, Journal of Muscle Research & Cell Motility.

[20]  A. Biewener,et al.  In vivo muscle force-length behavior during steady-speed hopping in tammar wallabies. , 1998, The Journal of experimental biology.

[21]  A. V. van Soest,et al.  Why is countermovement jump height greater than squat jump height? , 1996, Medicine and science in sports and exercise.

[22]  M. Bobbert,et al.  Mechanics of human triceps surae muscle in walking, running and jumping. , 2002, Acta physiologica Scandinavica.

[23]  P. V. Komi,et al.  Joint moment and mechanical power flow of the lower limb during vertical jump. , 1987 .

[24]  Matthew T. Wheeler,et al.  Skeletal Muscle Structure and Function , 2006 .

[25]  D. Morgan,et al.  The association between flexibility and running economy in sub-elite male distance runners. , 1996, Medicine and science in sports and exercise.

[26]  Akinori Nagano,et al.  Contribution of Series Elasticity in Human Cyclic Heel-Raise Exercise , 2003 .

[27]  A. J. van den Bogert,et al.  Human muscle modelling from a user's perspective. , 1998, Journal of electromyography and kinesiology : official journal of the International Society of Electrophysiological Kinesiology.

[28]  K. Edman,et al.  Double-hyperbolic nature of the force-velocity relation in frog skeletal muscle. , 1988, Advances in experimental medicine and biology.

[29]  T. Fukunaga,et al.  The length-force characteristcs of human gastrocnemius and soleus muscles in vivo , 2000 .

[30]  D. Newham,et al.  Skeletal Muscle Structure and Function — Implications for rehabilitation and sports medicine , 1992 .

[31]  T Fukunaga,et al.  In vivo dynamics of human medial gastrocnemius muscle-tendon complex during stretch-shortening cycle exercise. , 2000, Acta physiologica Scandinavica.

[32]  P A Huijing,et al.  Influence of muscle geometry on shortening speed of fibre, aponeurosis and muscle. , 1992, Journal of biomechanics.

[33]  Akinori Nagano,et al.  Interaction between fascicles and tendinous structures during counter movement jumping investigated in vivo. , 2003, Journal of applied physiology.

[34]  G. Loeb,et al.  Measured and modeled properties of mammalian skeletal muscle: IV. Dynamics of activation and deactivation , 2004, Journal of Muscle Research & Cell Motility.

[35]  D. Morgan Separation of active and passive components of short-range stiffness of muscle. , 1977, The American journal of physiology.

[36]  Alan M. Wilson,et al.  Horses damp the spring in their step , 2001, Nature.

[37]  M F Bobbert,et al.  Dependence of human squat jump performance on the series elastic compliance of the triceps surae: a simulation study. , 2001, The Journal of experimental biology.

[38]  P V Komi,et al.  Joint Moment and Mechanical Power Flow of the Lower Limb During Vertical Jump , 1987, International journal of sports medicine.

[39]  F Goubel,et al.  Changes in elastic characteristics of human muscle induced by eccentric exercise. , 1990, Journal of biomechanics.

[40]  T. Fukunaga,et al.  Behavior of fascicles and tendinous structures of human gastrocnemius during vertical jumping. , 2001, Journal of applied physiology.

[41]  G. Cavagna Elastic bounce of the body. , 1970, Journal of applied physiology.

[42]  S L Woo,et al.  The effects of exercise on the biomechanical and biochemical properties of swine digital flexor tendons. , 1981, Journal of biomechanical engineering.

[43]  P V Komi,et al.  Physiological and Biomechanical Correlates of Muscle Function: Effects of Muscle Structure and Stretch—Shortening Cycle on Force and Speed , 1984, Exercise and sport sciences reviews.

[44]  G. Loeb,et al.  Feline caudofemoralis muscle Muscle fibre properties, architecture, and motor innervation , 1998, Experimental Brain Research.

[45]  I. Hunter,et al.  Dynamics of human ankle stiffness: variation with mean ankle torque. , 1982, Journal of biomechanics.

[46]  W Herzog,et al.  Modelling concentric contraction of muscle using an improved cross-bridge model. , 1999, Journal of biomechanics.

[47]  V. Edgerton,et al.  Muscle architecture of the human lower limb. , 1983, Clinical orthopaedics and related research.

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

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

[50]  P. Komi Stretch-shortening cycle: a powerful model to study normal and fatigued muscle. , 2000, Journal of biomechanics.

[51]  David A. Winter,et al.  Biomechanics and Motor Control of Human Movement , 1990 .

[52]  Akinori Nagano,et al.  Effects of the length ratio between the contractile element and the series elastic element on an explosive muscular performance. , 2004, Journal of electromyography and kinesiology : official journal of the International Society of Electrophysiological Kinesiology.

[53]  S Fukashiro,et al.  In vivo determination of muscle viscoelasticity in the human leg. , 2001, Acta physiologica Scandinavica.

[54]  I W Hunter,et al.  Invariance of ankle dynamic stiffness during fatiguing muscle contractions. , 1983, Journal of biomechanics.

[55]  M. Pandy,et al.  Storage and utilization of elastic strain energy during jumping. , 1993, Journal of Biomechanics.

[56]  Marcus G. Pandy,et al.  An Analytical Framework for Quantifying Muscular Action During Human Movement , 1990 .

[57]  T. Fukunaga,et al.  The length-force characteristics of human gastrocnemius and soleus in vivo , 2000 .

[58]  T Fukunaga,et al.  Influence of elastic properties of tendon structures on jump performance in humans. , 1999, Journal of applied physiology.

[59]  S. Fukashiro,et al.  Comparison of viscoelastic characteristics in triceps surae between Black and White athletes. , 2002, Acta physiologica Scandinavica.

[60]  A. J. van den Bogert,et al.  Intrinsic muscle properties facilitate locomotor control - a computer simulation study. , 1998, Motor control.

[61]  G. Zahalak,et al.  Muscle activation and contraction: constitutive relations based directly on cross-bridge kinetics. , 1990, Journal of biomechanical engineering.

[62]  R L Lieber,et al.  Sarcomere length operating range of vertebrate muscles during movement. , 2001, The Journal of experimental biology.

[63]  T. Fukunaga,et al.  Ultrasonography gives directly but noninvasively elastic characteristic of human tendon in vivo , 1995, European Journal of Applied Physiology and Occupational Physiology.

[64]  Terry K K Koo,et al.  In vivo determination of subject-specific musculotendon parameters: applications to the prime elbow flexors in normal and hemiparetic subjects. , 2002, Clinical biomechanics.

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

[66]  Akinori Nagano,et al.  Effects of Series Elasticity of the Muscle Tendon Complex on an Explosive Activity Performance with a Counter Movement , 2004 .

[67]  Akinori Nagano,et al.  Longer moment arm results in smaller joint moment development, power and work outputs in fast motions. , 2003, Journal of biomechanics.