The Transactions of the Korean Institute of Electrical Engineers A (대한전기학회논문지:전력기술부문A)

The Korean Institute of Electrical Engineers (대한전기학회)
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Musculotendon Model to Represent Characteristics of Muscle Fatigue due to Functional Electrical Stimulation

기능적 전기자극에 의한 근육피로의 특성을 표현하는 근육 모델

  • Published : 1999.08.01
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Abstract

The musculotendon model is presented to show the declines in muscle force and shortening velocity during muscle fatigue due to the repeated functional electrical stimulation (FES). It consists of the nonlinear activation and contraction dynamics including physiological concepts of muscle fatigue. The activation dynamics represents $Ca^{2+}$ binding and unbinding mechanism with troponins of cross-bridges in sarcoplasm. It has the constant binding rate or activation time constant and two step nonlinear unbinding rate or inactivation time constant. The contraction dynamics is the modified Hill type model to represent muscle force - length and muscle force - velocity relations. A muscle fatigue profile as a function of the intracellular acidification, pH is applied into the contraction dynamics to represent the force decline. The computer simulation shows that muscle force and shortening velocity decline in stimulation time. And we validate the model. The model can predicts the proper muscle force without changing its parameters even when existing the estimation errors of the optimal fiber length. The change in the estimate of the optimal fiber length has an effect only on muscle time constant in transient period not on the tetanic force in the steady-state and relaxation periods.

Keywords

References

  1. Rehabilitation Engineering Applied to Mobility and Manipulation R. A. Cooper
  2. Functional Electrical Stimulation : Standing and Walking after Spinal Cord Injury A. R. Kralj;T. Bajd
  3. J. Rehabilitation R&D v.20 no.1 Gait restoration in paraplegic patients : A feasibility demonstration using multichannel surface electrode FES A. Karlj;T. Bajd;R. Turk;J. Krajnik;H. Benko
  4. Clinical Orthopaedics and Related Research no.175 Functional walking in parapleyzed patients by mean of electrical stimulation E. B. Marolais;R. Kobetic
  5. 전자공학회지 v.21 no.12 전기자극을 이용한 하반신 마비환자의 기동성 회복 강곤
  6. J. Biomechanics v.15 no.1 Standing-up of a healthy subject and a paraplegic patient T. Bajd;A. Kralj
  7. J. Biomed. Eng. v.12 Recruitment, force and fatigue characteristic of quadriceps muscles of paraplegics isometrically activated by surface functional electrical stimulation M. Levy;J. Mizrahi;Z. Susak
  8. IEEE Trans. Biomed. Eng. v.40 no.7 Musculotendon model of the fatigue profiles of paralyzed quadriceps muscle under FES Y. Giat;J. Mizrahi;M. Levy
  9. IEEE Trans. Biomed. Eng. v.BME-31 no.7 Muscle dynamics, size principle, and stability Y. F. Zheng;H. Hermi;B. T. Strokes
  10. J. Biomechanics v.23 no.2 A muscloskeletal model of the human lower extremity : The effecte of muscle, tendon, and moment arm on the moment-angle relationship of musculotendon actuators at the hip, knee, and ankle M. G. Hoy;F. E. Zajac;M. E. Gordon
  11. IEEE Trans. Biomed. Eng. v.BME-32 no.10 Analysis of fundamental human movement patterns through the use of in-depth antagonistic muscle models J. M. Winters;L. Stark
  12. Mathematical Bioscience v.68 Modeling dynamical interactions between fast and slow movements : Fast saccadic eye movement behavior in the presence of the slower VOR J. M. Winters;M. H. Nam;L. W. Stark
  13. Computer Programs in Biomedicine v.6 Parametric sensitivity analysis of a homemorphic model for saccadic and vergence eye movements F. K. Hsu;A. T. Bahill;L. Stark
  14. CRC in Biomed. Eng. v.17 no.Issue 4 Muscle and tendon : properties, models, scaling, and application to biomechanics and motor control F. E. Zajac
  15. Ph.D dissertation, Stanford Univ. Paraplegic standing controlled by functional neuromuscular stimulation : Computer model, control-system design, and simulation studies Gon Khang
  16. IEEE Trans. Biomed. Eng. v.42 no.2 Muscle-joint models incorporating activation dynamics, moment-angel, and moment-velocity properties G. Shue;P. E. Crago;H. J. Chizeck
  17. Proc. American Control Conf. v.1 Neuromuscular and musculoskeletal control models for the human leg F. E. Zajac;J. P. Chapelier;W. S. Levine;M. R. Zomlefer
  18. Proc. 9th Annual Conf. Rehabilitation Eng.(RESNA) Musculotendon actuator models for use in computer studies and design of neuromuscular stimulation systems F. E. Zajac;E. L. Trop;P. J. Stevenson
  19. 98 Proc. 13th Korea Automatic Control Conference(KACC) A musculotendon model including muscle fatigue J. K. Kim;M. H. Nam
  20. 대한전기학회 98하계학술 대회 논문집 v.B 전기자극이 가해진 골격근의 피로항을 갖는 근육 모델의 구조 임종광;남문현
  21. Pflugers Arch. v.412 Age-related changes in power output during repetitvie contractions of rat medial gastrocnemius muscle A. De Hann;J. E. Van Doorn;A. J. Sargeant
  22. J. Biomechaniacl Eng. v.107 The influence of muscle model complexity in musculoskeletal motion modeling M. L. Audu;D. T. Davy
  23. Methematical Bioscience v.28 The complete optimization of a human motion H. Hatze
  24. Proc. Royal Society v.126 The heat of shortening and the dynamic constants of muscle A.V. Hill
  25. IEEE Trans. Biomed. Eng. v.44 no.5 A mathematical model that predicts skeletal muscle force A. S. Wexler;J. Ding;S. A. Binder-Maclead
  26. Trans. ASME v.12 Muscle activation and contraction : constitive relation based directly on cross-bridge kinetics G. I. Zahalak;S. P. Ma
  27. Biophysics J. v.54 The kinetics relating calcium and force in skeletal muscle R. B. Stein;J. Bobet;M. N. Oguztoreli;M. Frayer
  28. J. Biomechanics v.23 no.SUP.1 Mechanical relating force and high-frequency stiffness in skeletal muscle J. Bobet;R. B. Stein;M. N. Oguztoreli
  29. Biol. Cyber. v.66 Dual stable point model of muscle activation and deactivation C. P. Chou;B. Hannaford
  30. J. Physiol. v.117 The relation between integrated action potentials in a human muscle and its isometric tension O. C. J. Lippold
  31. Human Muscle Fatigue : Physiological Mechanism (Ciba Foundaiton Sympo. 82 ) EMG and fatigue of human voluntary and stimulated contractions B. Bigland-Richie
  32. Pflugers Arch. v.413 Changes in velocity of shortening, power output and relaxation rate during fatigue of rat medial gasronemius muscle A. De Hann;D. A. Jones
  33. J. Physiol. v.433 Changes in tetanic and resting $[Ca^{2+}]_i$ during fatigue and recovery of single muscle fibres from Xenopus Laevis J. A. Lee;H. Westerblad;D. G. Allen
  34. J. Physiol. v.409 Maximum tension and force-velocity properties of fatigued, single Xenopus muscle fibers studied by caffeine and high K J. Lannergren;H. Westerblad
  35. J. Physiol. v.457 Myofibrillar fatigue versus failure of activation during repetitive stimulation of frog muscle fibres K. A. P. Edman;F. Lou
  36. Pflugers Arch. v.334 The effect of repeatitive stimulation at low frequencies upon the electrical and mechanical activity single muscle fibres W. Grabowski;E. A. Lobiger;H. ChLuttau
  37. Magnetic Resonance in Medicine v.29 In vivo $^{31}PNMR$ studies of paraplegics muscles activated by functional electrical stimulation M. Levy;T. Kushnir;J. Mizrahi;Y. Itzchak
  38. Proc. American Control Conf. v.1 Neuromuscular and musculoskeletal control models for the human leg F. E. Zajac;W. S. Levine
  39. Bioengineering : Biomedical, Medical and Clinical Engineering A. T. Bahill
  40. IEEE Trans. Biomed. Eng. v.BME-27 no.11 Linear homeomorphic model for human movement A. T. Bahill;J. R. Latimer;B. T. Troost
  41. J. Physiol. v.418 Changes in force and intracellular metabolites during fatigue of human skeletal muscle E. B. Cady;D. A. Jones;J. Lynn;D. J. Newham
  42. J. Physiol. v.397 The inhibition of rabbit skeletal muscle contraction by hydrogen ions and phosphate R. Cooke;K. Franks;G. B. Luciani;E. Pate