Modeling of muscle fatigue using Hill's model

Bio-Medical Materials and Engineering

Volumn 15, Issue 5, 2005, Pages 341-348

  Tang, C Y ^a   Stojanovic, B ^a   Tsui, C P ^a   Kojic, M ^b  

^a HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

^b HARVARD SCHOOL OF PUBLIC HEALTH   (United States)

Author keywords

Fatigue; Hill; Maximal effort; Muscle fatigue; Muscle model; Prediction; Recovery

Indexed keywords

CRACKS; DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; RECOVERY;

MAXIMAL EFFORTS; MUSCLE FATIGUES; MUSCLE MODELS;

BIOMEDICAL ENGINEERING;

ARTICLE; BIOENGINEERING; CONVALESCENCE; ENDURANCE; FORCE; MATHEMATICAL ANALYSIS; MODEL; MUSCLE CONTRACTION; MUSCLE FATIGUE; MUSCLE FUNCTION; MUSCLE ISOMETRIC CONTRACTION; PREDICTION; PRIORITY JOURNAL; SKELETAL MUSCLE; TIME;

ACTION POTENTIALS; ADAPTATION, PHYSIOLOGICAL; ANIMALS; COMPUTER SIMULATION; ELASTICITY; HUMANS; MODELS, BIOLOGICAL; MOTOR NEURONS; MUSCLE CONTRACTION; MUSCLE FATIGUE; MUSCLE, SKELETAL; PHYSICAL ENDURANCE; STRESS, MECHANICAL; VISCOSITY;

EID: 24944549407     PISSN: 09592989     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (30)

1. R.W.A. Baildon and A.E. Chapman, A new approach to the human muscle model, J. Biomechanics 16 (1983), 803-809.
2. J. Bobet and B.B. Stein, A simple model of force generation by skeletal muscle during dynamic isometric contractions, IEEE Trans. Biomed. Eng. 45 (1998), 1010-1016.
3. B. Hannaford, A nonlinear model of the phasic dynamics of muscle activation, IEEE Trans. Biomed. Eng. 37 (1990), 1067-1075.
4. A.V. Hill, The heat of shortening and the dynamic constants of muscle, Proc. R. Soc. Lond. B 126 (1938), 136-195.
5. K.M. Pell and J.W. Stanfield, Mechanical model of skeletal muscle, Am. J. Phys. Med. 51 (1972), 23-28.
6. A.B. Schultz, J.A. Faulkner and V.A. Kadhiresan, A simple Hill element-nonlinear spring model of muscle contraction biomechanics, J. Appl. Physiol. 70 (1991), 803-812.
7. L.M. Studer, D.G. Ruegg and J.P. Gabriel, A model for steady isometric muscle activation, Biol. Cybern. 80 (1999), 339-355.
8. A.S. Wexler, J. Ding and S.A. Binder-Macleod, A mathematical model that predicts skeletal muscle force, IEEE Trans. Biomed. Eng. 44 (1997), 337-348.
9. R.D. Woittiez, P.A. Huijing, H.B.K. Boom and R.H. Rozendal, A three-dimensional muscle model: a quantified relation between form and function of skeletal muscles, J. Morphol. 182 (1984), 95-113.
10. B. Bigland-Ritchie, E. Cafarelli and N.K. Vøllestad, Fatigue of submaximal static contractions, Acta Physiol. Scand. 128 (1986), 137-148.
11. N.K. Vøllestad, O.M. Sejersted, R. Bahr, J.J. Woods and B. Bigland-Ritchie, Motor drive and metabolic responses during repeated submaximal contractions in man. J. Appl. Physiol. 64 (1988), 1421-1427.
12. S.C. Gandevia, R.M. Enoka, A.J. McComas, D.G. Stuart and C.K. Thomas, Neurobiology of muscle fatigue, in: Fatigue-Neural and Muscular Mechanisms, S. Gandevia, R.M. Enoka, A.J. McComas, D.G. Stuart and C.K. Thomas, eds, Plenum Press, New York, 1995, pp. 515-525.
13. N.K. Vøllestad, Measurement of human muscle fatigue, J. Neuroscience Methods 74 (1997), 219-227.
14. D.A. Hawkins and M.L. Hull, Muscle force as affected by fatigue: mathematical model and experimental verification, J. Biomech. 26 (1993), 1117-1128.
15. H.B.K. Boom, A.J. Mulder and P.H. Veltink, Fatigue during functional neuromuscular stimulation, Prog. Brain Res. 97 (1993), 409-418.
16. J. Mizrahi, O. Levin, A. Aviram, E. Isakov and Z. Susak, Muscle fatigue in interrupted stimulation: effect of partial recovery on force and EMG dynamics, J. Electromyogr. Kinesiol. 7 (1997), 51-65.
17. E. Rabischong and P. Chavet, Regression-based indices of fatigue in paraplegic's electrically stimulated quadriceps, Med. Eng. Phys. 19 (1997), 749-754.
18. N.C. Chesler and W.K. Durfee, Surface EMG as a fatigue indicator during FES-induced isometric muscle contractions, J. Electromyogr. Kinesiol. 7 (1997), 27-37.
19. Y. Giat, J. Mizrahi and M. Levy, A model of fatigue and recovery in paraplegic's quadriceps muscle subjected to intermittent FES, J. Biomech. Eng. 118 (1996), 357-366.
20. J. Mizrahi, D. Seelenfreund, E. Isakov and Z. Susak, Predicted and measured muscle forces after recoveries of differing durations following fatigue in functional electrical stimulation, Artif. Organs 21 (1997), 236-239.
21. J. Ding, A.S. Wexler and S.A. Binder-Macleod, A predictive model of fatigue in human skeletal muscles, J. Appl. Physiol. 89 (2000), 1322-1332.
22. Y. Giat, J. Mizrahi and M. Levy, A musculotendon model of the fatigue profiles of paralyzed quadriceps muscle under FES, IEEE Trans. Biomed. Eng. 40 (1993), 664-674.
23. O. Levin and J. Mizrahi, EMG and metabolite-based prediction of force in paralyzed quadriceps muscle under interrupted stimulation, IEEE Trans. Rehab. Eng. 7 (1999), 301-314.
24. R. Riener, J. Quintern and G. Schmidt, Biomechanical model of the human knee evaluated by neuromuscular stimulation, J. Biomech. 29 (1996), 1157-1167.
25. R. Riener and J. Quintern, A physiologically based model of muscle activation verified by electrical stimulation, J. Bioelectrochem. Bioenerget. 43 (1997), 257-264.
26. J.Z. Liu, R.W. Brown and G.H. Yue, A dynamical model of muscle activation, fatigue, and recovery, Biophysical J. 82 (2002), 2344-2359.
27. C. Deluca, Myoelectrical manifestations of localized muscular fatigue in human, CRC Crit. Rev. Biomed. Eng. 11 (1984), 251-279.
28. R.M. Enoka and D.G. Stuart, Neurobiology of muscle fatigue, J. Appl. Physiol. 72 (1992), 1631-1648.
29. M. Kojic, S. Mijailovic and N. Zdravkovic, Modelling of muscle behaviour by the finite element method using Hill's three-element model, Int. J. Numer. Meth. Eng. 43 (1998), 941-953.
30. A.M. Gordon, A.F. Huxley and F.J. Julian, J. Physiol. 269 (1966), 441-515.