Two-step, predictive, isometric force model tested on data from human and rat muscles

Journal of Applied Physiology

Volumn 85, Issue 6, 1998, Pages 2176-2189

  Ding, Jun ^a   Binder Macleod, Stuart A ^a   Wexler, Anthony S ^a  

^a UNIVERSITY OF DELAWARE   (United States)

Author keywords

Catch like property; Fatigue; Functional electrical stimulation; Mathematical model; Muscle length

Indexed keywords

ANIMAL EXPERIMENT; ARTICLE; CONTROLLED STUDY; ELECTROSTIMULATION; FORCE; HUMAN; HUMAN EXPERIMENT; MATHEMATICAL MODEL; MUSCLE; MUSCLE FATIGUE; NONHUMAN; PREDICTION; PRIORITY JOURNAL; RAT;

EID: 0031737483     PISSN: 87507587     EISSN: None     Source Type: Journal    
DOI: 10.1152/jappl.1998.85.6.2176     Document Type: Article

References (32)

1. Aidley, D. J. The Physiology of Excitable Cells. New York: Cambridge University Press, 1989.
2. 2+ in Cells, edited by C. C. Ashley and A. K. Campbell. Amsterdam: Elsevier/North-Holland, 1979, p. 159-164.
3. Balnave, C. D., and D. G. Allen. The effect of muscle length on intracellular calcium and force in single fibers from mouse skeletal muscle. J. Physiol. (Lond.) 492: 705-713, 1996.
4. Bevan, L., Y. Laouris, R. M. Reinking, and D. G. Stuart. The effect of the stimulation pattern on the fatigue of single motor units in adult cats. J. Physiol. (Lond.) 449: 85-108, 1992.
5. Binder-Macleod, S. A., and C. B. Barker. Use of a catchlike property of human skeletal muscle to reduce fatigue. Muscle Nerve 13: 850-857, 1991.
6. Binder-Macleod, S. A., and H. P. Clamann. Force output of cat motor units stimulated with trains of linearly varying frequency. J. Neurophysiol. 61: 208-216, 1989.
7. Binder-Macleod, S. A., E. E. Halden, and K. A. Jungles. Effects of stimulation intensity on the physiological responses of human motor units. Med. Sci. Sports Exerc. 27: 556-565, 1995.
8. Binder-Macleod, S. A., S. C. K. Lee, and S. A. Baadte. Reduction of the fatigue-induced force decline in human skeletal muscle by optimized stimulation trains. Arch. Phys. Med. Rehabil. 78: 1129-1137, 1997.
9. Bobet, J., R. B. Stein, and M. N. Oguztöreli. A linear time-varying model of force generation in skeletal muscle. IEEE Trans. Biomed. Eng. 40: 1000-1006, 1993.
10. Burke, R. E., P. Rudomin, and F. E. Zajac. Catch property in single mammalian motor units. Science 168: 122-124, 1970.
11. Chou, C. P., and B. Hannaford. Dual stable point model of muscle activation and deactivation. Biol. Cybern. 66: 511-523, 1992.
12. Donaldson, N. N., H. Gollee, K. J. Hunt, J. C. Jarvis, and M. K. N. Kwende. A radial basis function model of muscle stimulated with irregular inter-pulse intervals. Med. Eng. Phys. 16: 431-441, 1995.
13. Durfee, W. K., and K. I. Palmer. Estimation of force-activation, force-length, and force-velocity properties in isolated, electrically stimulated muscle. IEEE Trans. Biomed. Eng. 41: 205-216, 1994.
14. Fitch, S., and A. McComas. Influence of human muscle length of fatigue. J. Physiol. (Lond.) 362: 205-213, 1985.
15. Gandevia, S. C., and D. K. McKenzie. Activation of human muscles at short muscle lengths during maximal static efforts. J. Physiol. (Lond.) 407: 599-613, 1988.
16. Hill, A. V. Heat and shortening and the dynamic constants of muscle. Proc. R. Soc. Lond. B Biol. Sci. 125: 136-195, 1938.
17. Huxley, A. F. Muscle structure and theories of contraction. Prog. Biophys. Mol. Biol. 7: 257-318, 1957.
18. Isakov, E., J. Mizrahi, and J. Najenson. Biomechanical and physiological evaluation of FES-activated paraplegic patients. J. Rehabil. Res. Dev. 23: 9-19, 1986.
19. Karu, Z. Z., W. K. Durfee, and A. M. Barzilai. Reducing muscle fatigue in FES applications by stimulation with N-let pulse trains. IEEE Trans. Biomed. Eng. 42: 809-816, 1995.
20. Kralj, A., T. Bajd, and R. Turk. Enhancement of gait restoration in spinal injured patients by functional electrical stimulation. Clin. Orthop. 233: 34-43, 1988.
21. Lee, S. C. K., M. L. Cullen, and S. A. Binder-Macleod. Effects of muscle length on the catchlike property in fresh and fatigued human muscle (Abstract). Med. Sci. Sports Exerc. 28, Suppl. 5: S130, 1996.
22. Martin, A., L. Martin, and B. Morton. Theoretical and experimental behavior of the muscle viscosity coefficient during maximal concentric actions. J. Appl. Physiol. 69: 539-544, 1994.
23. Rüegg, J. C. Calcium in Muscle Activation: A Comparative Approach. New York: Springer-Verlag, 1986.
24. SAAM II Institute, University of Washington, and National Institutes of Health. SAAM II. Seattle: University of Washington, 1994.
25. Schultz, A. B., J. A. Faulkner, and V. A. Kadhiresan. A simple Hill element-nonlinear spring model of muscle contraction biomechanics. J. Appl. Physiol. 70: 803-812, 1991.
26. 2+-force relationship of frog skeletal muscle: a dynamic model for parameter estimation. Am. J. Physiol. 271 (Cell Physiol. 40): C2061-C2071, 1996.
27. Stein, R. B., J. Bobet, M. N. Oguztöreli, and M. Fryer. The kinetics relating calcium and force in skeletal muscle. Biophys. J. 54: 705-716, 1988.
28. Stephenson, D. G., and D. A. Williams. Effects of sarcomere length on the force-pCa relation in fast- and slow-twitch skinned muscle fibers from the rat. J. Physiol. (Lond.) 333: 637-653, 1982.
29. Taylor, C. P. S. Isometric muscle contraction and the active state: an analog computer study. Biophys. J. 9: 759-780, 1969.
30. Westerblad, H., and D. G. Allen. Changes in myoplasmic calcium concentration during fatigue in single mouse muscle fibers. J. Gen. Physiol. 98: 615-635, 1991.
31. Wexler, A. S., J. Ding, and S. A. Binder-Macleod. A mathematical model that predicts skeletal muscle force. IEEE Trans. Biomed. Eng. 44: 337-348, 1997.
32. Zahalak, G. I., and S. P. Ma. Muscle activation and contraction: constitutive relations based directly on cross-bridge kinetics. J. Biomech. Eng. 112: 52-62, 1990.