Abstract
Cadavers are often used to measure the material properties of muscle via the static tensile loading test. However, the mechanical properties of the cadaver are different from that of in vivo muscle. In this work, a new way to measure the stiffness of in vivo muscle was proposed based on a vibration test combined with measured electromyography (EMG) signals. The stiffness of the biceps brachii muscle during isometric contractions with various weights (0 - 11 kg) was measured from the vibration test utilizing support properties of a spring attached to a mass. The relationship between the load level, the EMG signal, and the muscle stiffness was investigated and a multiple- spring model for biceps brachii muscle was newly suggested. Also, simulation using a commercial bio-mechanics simulation software (LifeMOD) was conducted to verify the developed muscle spring model and the measured stiffness of the in vivo muscle. The in vivo stiffness of the biceps brachii measured experimentally agreed well with the simulation result.
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References
K. A. Edman and F. Lou, Changes in force and stiffness induced by fatigue and intracellular acidification in frog muscle fiber, The Journal of Physiology, 424 (1) (1990) 133–149.
I. Hatta, H. Sugi and Y. Tamura, Stiffness changes in frog skeletal muscle during contraction recorded using ultrasonic waves, The Journal of Physiology, 403 (1) (1988) 193–209.
C. S. Cook and M. J. N. McDonagh, Measurement of muscle and tendon stiffness in man, European Journal of Applied Physiology and Occupational Physiology, 72 (4) (1996) 380–382.
S. Fukashiro, M. Noda and A. Shibayama, In vivo determination of muscle viscoelasticity in the human leg, Acta Physiologica Scandinavica, 172 (4) (2001) 241–248.
J. Babic and J. Lenarcic, In vivo determination of triceps surae muscle-tendon complex viscoelastic properties, European Journal of Applied Physiology, 92 (4-5) (2004) 477–484.
F. E. Zajac, Muscle and tendon: properties, models, scal-ing, and application to biomechanics and motor control, Critical Reviews in Biomedical Engineering, 17 (4) (1989) 359–411.
A. J. van den Bogert, K. G. M. Gerritsen and G. K. Cole, Human muscle modelling from a user’s perspective, Journal of Electromyography and Kinesiology, 8 (2) (1998) 119–124.
J. M. Winters, Hill-based muscle models: a systems engineering perspective, Multiple Muscle Systems: Biomechanics and Movement Organization (1990) 69–93.
A. V. Hill, The heat of shortening and the dynamic con-stants of muscle, Proc. the Royal Society of London. Series B, 126 (1938) 136–195.
A. F. Huxley and R. M. Simmons, Proposed mechanism of force generation in striated muscle, Nature, 233 (1971) 533–538.
L. Morgan, Separation of active and passive components of short-range stiffness of muscle, American Journal of Physiology Cell Physiology, 232 (1) (1977) C45–C49.
P. M. H. Rack and D. R. Westbury, Elastic properties of the cat soleus tendon and their functional importance, The Journal of Physiology, 347 (1) (1984) 479–495.
L. Out, T. G. M. Vrijkotte, A. J. K. van Soest and M. F. Bobbert, Influence of the parameters of a human triceps surae muscle model on the isometric torque-angle relationship, Journal of Biomechanical Engineering, 118 (1) (1996) 17–25.
M. F. Bobbert, Dependence of human squat jump performance on the series elastic compliance of the triceps surae: a simulation study, Journal of experimental Biology, 204 (2001) 533–542.
Y. C. Fung, Biomechanics: Mechanical Properties of Living Tissues, Second Ed., Springer-Verlag, New York, USA (1993).
J. A. C. Martins, E. B. Pires, R. Salvado and P. B. Dinis, Numerical model of passive and active behavior of skeletal muscles, Computer Methods in Applied Mechanics and Engineering, 151 (3-4) (1998) 419–433.
N. Sahai, R. P. Tewari and L. Singh, Mechanical Behavior of Muscles during Flexion and Extension of Lower Limb on Variable Age Group by Using BRG.LifeMod, The Third International Conference on the Development of Biomedical Engineering in Vietnam IFMBE Proceedings, 27 (2010) 48–50.
K. T. Huynh, I. Gibson, W. F. Lu and B. N. Jagdish, Simulating dynamics of thoracolumbar spine derived from LifeMOD under haptic forces, World Academy of Science, Engineering and Technology, 4 (2010) 278–285.
Y. S. Liu, T. S. Tsay and T. C. Wang, Muscles force and joints load simulation of bicycle riding using multibody models, Procedia Engineering, 13 (2011) 81–87.
K. T. Huynh, I. Gibson, B. N. Jagdish and W. F. Lu, Development and validation of a discretised multi-body spine model in LifeMOD for biodynamic behaviour simulation, Computer Methods in Biomechanics and Biomedical Engineering, 18 (2) (2014) 1–9.
B. B. Ritchie, R. Johansson, O. C. Lippold and J. J. Woods, Contractile speed and EMG changes during fatigue of sustained maximal voluntary contractions, Journal of Neurophysiology, 50 (1) (1983) 313–324.
J. V. Basmajian, Muscles alive, their func-tions revealed by electromyography, Journal of Medical Education, 37 (8) (1962) 802.
H. J. Hermens, B. Freriks, K. C. Dissehorst and G. Rau, Development of recommendations for SEMG sensors and sensor placement procedures, Journal of Electromyography and Kinesiology, 10 (5) (2000) 361–74.
C. Jensen, O. Vasseljen and R. H. Westgaard, Estimating maximal EMG amplitude for the trapezius muscle: on the optimization of experimental procedure and electrode placement for improved reliability and increased signal amplitude, Journal of Electromyography and Kinesiology, 6 (1) (1996) 51–58.
P. M. Ludewig, T. M. Cook and D. A. Nawoczenski, Threedimensional scapular orientation and muscle activity at selected positions of humeral elevation, Journal of Orthopaedic & Sports Physical Therapy, 24 (2) (1996) 57–65.
S. M. Mijailovich, J. J. Fredberg and J. P. Butler, On the Theory of Muscle Contraction: Filament Extensibility and the Development of Isometric Force and Stiffness, Biophysical Journal, 71 (3) (1996) 1475–1484.
S. Mark, EMG methods for evaluating muscle and nerve function, Chapters published InTech. (2012).
M. Kurt and S. B. Thomas, A one-parameter neural activation to muscle activation model: estimating isometric joint moments from electromyograms, Journal of Biomechanics, 36 (8) (2003) 1197–1202.
A. F. Pereira, M. T. Silva, J. M. Martins and M. D. Carvalho, Development of a hill-type muscle model with fatigue for the calculation of the redundant muscle forces using multibody dynamics, Master Thesis, Instituto Superior Técnico (2009).
G. Roberte, Calcium-activated tension of skinned mus-cle fibers of the frog, The Journal of General Physiology, 63 (6) (1974) 722–739.
I. W. Hunter and R. E. Kearney, Invariance of ankle dynamic stiffness during fatiguing muscle contractions, Journal of Biomechanics, 16 (12) (1983) 985–991.
M. R. Shorten, Muscle elasticity and human performance, Journal of Medicine and Sport Science, 25 (1987) 1–18.
J. D. Macdougall, D. G. Sale, S. E. Always and J. R. Sutton, Muscle fiber number in biceps brachii in bodybuilders and control subjects, Journal of Applied Physiology, 57 (5) (1984) 1399–403.
C. S. Klein, G. D. Marsh, R. J. Petrella and C. L. Rice, Muscle fiber number in the biceps brachii muscle of young and old men, Muscle and Nerve, 28 (1) (2003) 62–68.
P. Gribble and D. Kistemaker, Computational motor control: Muscle, Computational Modelling in Neuroscience (2012).
W. Yang, Passive and muscle-based predictive computer models of seated and supine humans in whole-body vibration, Ph.D. (Doctor of Philosophy) Thesis, University of Iowa (2012).
H. Kim, Development and biodynamic simulation of a detailed Musculo-Skeletal spine model, Doctor of Philosophy, National University of Singapore (2010).
De Leva, Paolo, Adjustments to Zatsiorsky-Seluyanov's segment inertia parameters, Journal of Biomechanics, 29 (9) (1996) 1223–1230.
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These authors contributed equally to this work.
Recommended by Associate Editor Yoon Hyuk Kim
Wan-Ho Chung received his B.S. degree in mechanical engineering from Hanyang University in 2012.
Dong-Ki Min received his B.S. degree in mechanical engineering from Hanyang University in 2009.
Jun-Hong Park received his B.S. degree in production engineering from Korea Advanced Institute of Science and Technology in 1991 and his M.S. degree in precision engineering and mechatronics from Korea Advanced Institute of Science and Technology in 1993. He received his Ph.D. degree in mechanical engineering from the Purdue University, West Lafayette, Missouri-Rolla, USA, in 2002.
Hak-Sung Kim received his B.S. degree in mechanical engineering from Korea Advanced Institute of Science and Technology in 2001 and his M.S. degree from Korea Advanced Institute of Science and Technology in 2003. He received his Ph.D. degree in mechanical engineering from Korea Advanced Institute of Science and Technology in 2006.
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Chung, WH., Min, DK., Hwang, HJ. et al. In vivo stiffness measurement and in silico stiffness prediction of biceps brachii muscle using an isometric contraction exercise. J Mech Sci Technol 30, 2881–2889 (2016). https://doi.org/10.1007/s12206-016-0547-1
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DOI: https://doi.org/10.1007/s12206-016-0547-1