메뉴 건너뛰기




Volumn 6, Issue 3, 1998, Pages 286-299

A mathematical model for skeletal muscle activated by N-let pulse trains

Author keywords

Model; Muscle; Neuromuscular stimulation; Non linear systems; Physiological modeling

Indexed keywords

FUNCTIONAL ELECTRIC STIMULATION; MATHEMATICAL MODELS; MUSCLE;

EID: 0032169428     PISSN: 10636528     EISSN: None     Source Type: Journal    
DOI: 10.1109/86.712226     Document Type: Article
Times cited : (34)

References (63)
  • 1
    • 0022998090 scopus 로고
    • R. B. Stein T. Gordon Nonlinear stiffness-force relationships in whole mammalian skeletal muscles Canadien J. Physiol. Pharmacol. 64 1236 1244 1986
    • (1986) , vol.64 , pp. 1236-1244
    • Stein, R.B.1    Gordon, T.2
  • 2
    • 0018278227 scopus 로고
    • E. W. Stephenson R. J. Podolsky The regulation of calcium in skeletal muscle Ann. New York Acad. Sci. 307 462 476 1978
    • (1978) , vol.307 , pp. 462-476
    • Stephenson, E.W.1    Podolsky, R.J.2
  • 3
    • 85176676221 scopus 로고
    • J. D. Bronzino CRC Press FL, Boca Raton
    • J. D. Bronzino Membrane models The Biomedical Engineering Handbook 139 161 1995 CRC Press FL, Boca Raton
    • (1995) , pp. 139-161
  • 4
    • 85176690929 scopus 로고
    • J. M. Winters S. L.-Y. Woo Springer-Verlag New York
    • J. M. Winters S. L.-Y. Woo Multiple Muscle Systems. 1990 Springer-Verlag New York
    • (1990)
  • 5
    • 0024326709 scopus 로고
    • F. E. Zajac Muscle and tendon: Properties, models, scaling, and application to biomechanics and motor control Crit. Rev. Biomed. Eng. 17 359 410 1989
    • (1989) , vol.17 , pp. 359-410
    • Zajac, F.E.1
  • 6
    • 0018850562 scopus 로고
    • F. E. Zajac J. E. Young Discharge properties of hindlimb motoneurons in decerebrate cats during locomotion induced by mesencephalic stimulation J. Neurophysiol. 43 1221 1235 1980
    • (1980) , vol.43 , pp. 1221-1235
    • Zajac, F.E.1    Young, J.E.2
  • 7
    • 0017073564 scopus 로고
    • R. E. Burke P. Rudomin F. E. Zajac The effect of activation history on tension production by individual muscle units Brain Res. 109 515 529 1976
    • (1976) , vol.109 , pp. 515-529
    • Burke, R.E.1    Rudomin, P.2    Zajac, F.E.3
  • 8
  • 9
    • 0000235382 scopus 로고
    • S. Cooper J. C. Eccles The isometric responses of mammalian muscles J. Physiol. 69 377 385 1930
    • (1930) , vol.69 , pp. 377-385
    • Cooper, S.1    Eccles, J.C.2
  • 10
    • 0018278221 scopus 로고
    • J. E. Desmedt K. Hainaut Excitation-contraction coupling in single muscle fibers and the calcium channel in sarcoplasmic reticulum Ann. New York Acad. Sci. 307 433 435 1978
    • (1978) , vol.307 , pp. 433-435
    • Desmedt, J.E.1    Hainaut, K.2
  • 12
    • 85176688504 scopus 로고    scopus 로고
    • S. J. Dorgan M. J. O'Malley A nonlinear mathematical model of electrically stimulated skeletal muscle IEEE Trans. Rehab. Eng. 179 194 1997 86 12992 593289
    • (1997) , pp. 179-194
    • Dorgan, S.J.1    O'Malley, M.J.2
  • 13
    • 0028319294 scopus 로고
    • W. K. Durfee 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 10 7051 284939
    • (1994) , vol.41 , pp. 205-216
    • Durfee, W.K.1    Palmer, K.I.2
  • 14
    • 85176669574 scopus 로고
    • S. Ebashi M. Endo I. Ohtsuki Control of muscle contraction Q. Rev. Biophys. 28 351 384 1969
    • (1969) , vol.28 , pp. 351-384
    • Ebashi, S.1    Endo, M.2    Ohtsuki, I.3
  • 15
    • 0023733685 scopus 로고
    • S. J. Garland S. H. Garner A. J. McComas Relationship between numbers and frequencies of stimuli in human muscle fatigue J. Appl. Physiol. 65 89 93 1988
    • (1988) , vol.65 , pp. 89-93
    • Garland, S.J.1    Garner, S.H.2    McComas, A.J.3
  • 17
    • 0017343901 scopus 로고
    • H. Hatze A myocybernetic control model of skeletal muscle Biol. Cybern. 25 103 119 1977
    • (1977) , vol.25 , pp. 103-119
    • Hatze, H.1
  • 18
    • 85176687337 scopus 로고
    • Sinauer Associates Inc. MA, Sunderland
    • B. Hille Ionic Channels in Excitable Membranes. 1984 Sinauer Associates Inc. MA, Sunderland
    • (1984)
    • Hille, B.1
  • 19
    • 35649001607 scopus 로고
    • A. L. Hodgkin A. F. Huxley A qualitative description of membrane current and its application to conduction and excitation in nerve J. Physiol. 117 500 511 1952
    • (1952) , vol.117 , pp. 500-511
    • Hodgkin, A.L.1    Huxley, A.F.2
  • 20
    • 0027024195 scopus 로고
    • R. J. Jaeger Lower extremity applications of functional neuromuscular stimulation Assist. Technol. 4 19 30 1992
    • (1992) , vol.4 , pp. 19-30
    • Jaeger, R.J.1
  • 21
    • 85176677007 scopus 로고    scopus 로고
    • A. Pedotti M. Ferrarin J. Quintern R. Riener Springer-Verlag
    • A. Pedotti M. Ferrarin J. Quintern R. Riener Toward an optimized muscle controller Neuroprosth. 123 128 1996 Springer-Verlag
    • (1996) , pp. 123-128
  • 22
    • 0014591158 scopus 로고
    • G. C. Joyce P. M. H. Rack Isotonic lengthening and shortening movements of cat soleus muscle J. Physiol. 204 475 491 1969
    • (1969) , vol.204 , pp. 475-491
    • Joyce, G.C.1    Rack, P.M.H.2
  • 23
    • 85176686804 scopus 로고
    • MA, Cambridge
    • Z. Z. Karu Optimization of force and fatigue properties of electrically stimulated human skeletal muscle May 1992 M.S. thesis MA, Cambridge
    • (1992)
    • Karu, Z.Z.1
  • 25
    • 85176685998 scopus 로고
    • CRC Press FL, Boca Raton
    • A. Kralj T. Bajd Functional Electrical Stimulation: Standing and Walking After Spinal Cord Injury. 1989 CRC Press FL, Boca Raton
    • (1989)
    • Kralj, A.1    Bajd, T.2
  • 26
    • 0029129310 scopus 로고
    • M. M. N. Kwende J. C. Jarvis S. Salmons The input̵output relations of skeletal muscle Proc. Roy. Soc. London B-261 193 201 1995
    • (1995) , vol.B-261 , pp. 193-201
    • Kwende, M.M.N.1    Jarvis, J.C.2    Salmons, S.3
  • 27
    • 0019369220 scopus 로고
    • F. Parmiggiani R. B. Stein Nonlinear summation of contractions in cat muscles: II. Later facilitation and stiffness changes J. Gen. Physiol. 78 295 311 1981
    • (1981) , vol.78 , pp. 295-311
    • Parmiggiani, F.1    Stein, R.B.2
  • 28
    • 85176693333 scopus 로고    scopus 로고
    • R. Riener S. J. Dorgan J. Quintern G. Schmidt Non-linear summation in muscles of normal subjects and paraplegic patients: Measurements and simulation Proc. 18th Annu. Int. Conf. IEEE Eng. Med. Biol. Soc. 1996 5216 14214 651861
    • (1996)
    • Riener, R.1    Dorgan, S.J.2    Quintern, J.3    Schmidt, G.4
  • 29
    • 85176679685 scopus 로고    scopus 로고
    • R. Riener J. Quintern A physiologically based model of muscle activation verified by electrical stimulation J. Bioelectrochem. Bioenerg. 1997
    • (1997)
    • Riener, R.1    Quintern, J.2
  • 30
    • 0030247562 scopus 로고    scopus 로고
    • R. Riener J. Quintern G. Schmidt Biomechanical model of the human knee joint evaluated by neuromuscular stimulation J. Biomech. 29 1157 1167 1996
    • (1996) , vol.29 , pp. 1157-1167
    • Riener, R.1    Quintern, J.2    Schmidt, G.3
  • 31
    • 0026795696 scopus 로고
    • S. Salmons J. C. Jarvis Cardiac assistance from skeletal muscle: A critical appraisal of the various approaches Brit. Heart J. 68 333 338 1992
    • (1992) , vol.68 , pp. 333-338
    • Salmons, S.1    Jarvis, J.C.2
  • 32
    • 0028234314 scopus 로고
    • T. Sinkjær I. Magnussen Passive, intrinsic and reflex mediated stiffness in the ankle extensors of hemiparetic patients Brain 117 355 365 1994
    • (1994) , vol.117 , pp. 355-365
    • Sinkjæ1    r, T.2    Magnussen, I.3
  • 33
    • 85176672204 scopus 로고
    • G. Sjogaard G. Savard C. Juel Blood flow during isometric activity and its relation to muscle fatigue European J. Appl. Physiol. 57 287 295 1988
    • (1988) , vol.57 , pp. 287-295
    • Sjogaard, G.1    Savard, G.2    Juel, C.3
  • 34
    • 0022060047 scopus 로고
    • M. L. Audu D. T. Davy The influence of muscle model complexity in musculoskeletal motion modeling J. Biomech. Eng. 107 147 157 1985
    • (1985) , vol.107 , pp. 147-157
    • Audu, M.L.1    Davy, D.T.2
  • 35
    • 85176670942 scopus 로고
    • Ranchos Los Amigos Rehabilitation Center CA, Downey
    • L. A. Benton L. L. Baker B. R. Bowman R. L. Waters Functional Electrical Stimulation. A Practical Guide. 1981 Ranchos Los Amigos Rehabilitation Center CA, Downey
    • (1981)
    • Benton, L.A.1    Baker, L.L.2    Bowman, B.R.3    Waters, R.L.4
  • 36
    • 85176679542 scopus 로고
    • Chapman and Hall U.K., London
    • C. R. Bagshaw Muscle Contraction. 1982 Chapman and Hall U.K., London
    • (1982)
    • Bagshaw, C.R.1
  • 37
    • 0026558765 scopus 로고
    • S. A. Binder-Macleod L. R. McDermond Changes in the force-frequency relationship of the human quadriceps femoris muscle following electrically and voluntary induced fatigue Physic. Therapy 72 95 104 1992
    • (1992) , vol.72 , pp. 95-104
    • Binder-Macleod, S.A.1    McDermond, L.R.2
  • 38
    • 0014931017 scopus 로고
    • R. E. Burke P. Rudomin F. E. Zajac Catch property in single mammalian motor units Sci. 168 122 124 1970
    • (1970) , vol.168 , pp. 122-124
    • Burke, R.E.1    Rudomin, P.2    Zajac, F.E.3
  • 39
    • 85176691061 scopus 로고
    • J. E. Desmedt Raven New York
    • J. E. Desmedt Muscular wisdom that minimizes fatigue during prolonged effort in man: Peak rates of motorneurone discharge Advances in Neurology 39: Motor Control Mechanisms in Health and Disease 169 211 1983 Raven New York
    • (1983) , pp. 169-211
  • 40
    • 0019357129 scopus 로고
    • R. B. Stein F. Parmiggiani Nonlinear summation of contractions in cat muscles: I. Early depression J. Gen. Physiol. 78 277 293 1981
    • (1981) , vol.78 , pp. 277-293
    • Stein, R.B.1    Parmiggiani, F.2
  • 42
    • 85176685473 scopus 로고
    • D. R. Wilkie Relation between force and velocity in human muscle J. Physiol. 110 249 280 1950
    • (1950) , vol.110 , pp. 249-280
    • Wilkie, D.R.1
  • 43
    • 0018822183 scopus 로고
    • F. E. Zajac J. E. Young Properties of stimulus trains producing maximum tension-time are per pulse from single motor units in medial gastrocnemius of the cat J. Neurophysiol. 43 1206 1219 1980
    • (1980) , vol.43 , pp. 1206-1219
    • Zajac, F.E.1    Young, J.E.2
  • 44
    • 0021269330 scopus 로고
    • M. B. Cannell D. G. Allen Model of calcium movements during activation in the sarcomere of frog skeletal muscle Biophys. J. 45 913 925 1984
    • (1984) , vol.45 , pp. 913-925
    • Cannell, M.B.1    Allen, D.G.2
  • 45
    • 0028813871 scopus 로고
    • R. C.-J. Chiu Dynamic cardiomyoplasty for heart failure Brit. Heart J. 73 1 3 1995
    • (1995) , vol.73 , pp. 1-3
    • Chiu, R.C.-J.1
  • 46
    • 0014408515 scopus 로고
    • J. E. Desmedt K. Hainaut Kinetics of myofilament activation in potentiated contraction: Staircase phenomenon in human skeletal muscle Nature 217 529 532 1968
    • (1968) , vol.217 , pp. 529-532
    • Desmedt, J.E.1    Hainaut, K.2
  • 47
    • 85176668375 scopus 로고    scopus 로고
    • S. J. Dorgan R. Riener M. J. O'Malley A. M. de Paor A model for electrically activated mammalian muscle capturing $N$-let behaviors Proc. 18th Annu. Int. Conf. IEEE Eng. Med. Biol. Soc. 1996
    • (1996)
    • Dorgan, S.J.1    Riener, R.2    O'Malley, M.J.3    de Paor, A.M.4
  • 48
    • 0019216494 scopus 로고
    • S. Ebashi Regulation of muscle contraction Proc. Roy. Soc. London B207 259 286 1980
    • (1980) , vol.B207 , pp. 259-286
    • Ebashi, S.1
  • 49
    • 0023733056 scopus 로고
    • T. Gordon R. B. Stein Comparison of force and stiffness in normal and dystrophic mouse muscles Muscle Nerve 11 819 827 1988
    • (1988) , vol.11 , pp. 819-827
    • Gordon, T.1    Stein, R.B.2
  • 50
    • 0017904640 scopus 로고
    • H. Hatze A general myocybernetic control model of skeletal muscle Biol. Cybern. 28 143 157 1978
    • (1978) , vol.28 , pp. 143-157
    • Hatze, H.1
  • 51
    • 0025777380 scopus 로고
    • T. L. Hooper L. W. Stephenson Using skeletal muscle to assist the heart Brit. Heart J. 66 261 263 1991
    • (1991) , vol.66 , pp. 261-263
    • Hooper, T.L.1    Stephenson, L.W.2
  • 52
    • 0027383811 scopus 로고
    • J. C. Jarvis Power production and working capacity of rabbit tibialis anterior muscles after chronic stimulation at 10Hz J. Physiol. 470 157 169 1993
    • (1993) , vol.470 , pp. 157-169
    • Jarvis, J.C.1
  • 53
    • 85176679552 scopus 로고
    • Z. Z. Karu W. K. Durfee A. M. Barzali Reducing muscle fatigue in FES applications by stimulating with $N$-let pulse trains IEEE Trans. Biomed. Eng. 42 809 817 1995 10 9005 398642
    • (1995) , vol.42 , pp. 809-817
    • Karu, Z.Z.1    Durfee, W.K.2    Barzali, A.M.3
  • 54
    • 0028443327 scopus 로고
    • R. Kobetic E. B. Marsolais Synthesis of paraplegic gait with multichannel functional neuromuscular stimulation IEEE Trans. Rehab. Eng. 2 66 79 1994 86 7588 313148
    • (1994) , vol.2 , pp. 66-79
    • Kobetic, R.1    Marsolais, E.B.2
  • 55
    • 0025401453 scopus 로고
    • M. Levy J. Mizrahi Z. Susak Recruitment, force and fatigue characteristics of quadriceps muscles of paraplegics isometrically activated by surface functional electrical stimulation J. Biomed. Eng. 12 150 156 1990
    • (1990) , vol.12 , pp. 150-156
    • Levy, M.1    Mizrahi, J.2    Susak, Z.3
  • 56
    • 85176669866 scopus 로고
    • F. Rattay Modeling the excitation of fibers under surface electrodes IEEE Trans. Biomed. Eng. 35 676 682 1988 10 1393 32099
    • (1988) , vol.35 , pp. 676-682
    • Rattay, F.1
  • 57
    • 85176682760 scopus 로고    scopus 로고
    • A. Pedotti M. Ferrarin J. Quintern R. Riener Springer-Verlag New York
    • A. Pedotti M. Ferrarin J. Quintern R. Riener Physiologically based multi-input model of muscle activation Neuroprosth. 95 113 1996 Springer-Verlag New York
    • (1996) , pp. 95-113
  • 58
    • 85176671359 scopus 로고
    • D. Evered J. Whelan Wiley New York
    • D. Evered J. Whelan Voltage dependent mobilization of intracellular calcium in skeletal muscle Calcium and the Cell 23 38 1986 Wiley New York
    • (1986) , pp. 23-38
  • 59
    • 85176694739 scopus 로고
    • Oxford University Press New York
    • R. B. Stein P. H. Peckham D. B. Popovic Neural Prostheses: Replacing Motor Function After Disease or Disability. 1992 Oxford University Press New York
    • (1992)
    • Stein, R.B.1    Peckham, P.H.2    Popovic, D.B.3
  • 60
    • 85176688796 scopus 로고
    • A. S. Bahler J. T. Fales K. L. Zierler The active state of mammalian skeletal muscle J. Gen. Physiol. 50 2239 2253 1985
    • (1985) , vol.50 , pp. 2239-2253
    • Bahler, A.S.1    Fales, J.T.2    Zierler, K.L.3
  • 61
    • 0027027602 scopus 로고
    • C. Billian P. H. Gorman Upper extremity applications of functional neuromuscular stimulation Assist. Technol. 4 31 39 1992
    • (1992) , vol.4 , pp. 31-39
    • Billian, C.1    Gorman, P.H.2
  • 62
    • 0015104432 scopus 로고
    • C. D. Marsden J. C. Meadows P. A. Merton Isolated single motor units in mammalian muscle and their rate of discharge during maximal voluntary effort J. Physiol. 217 12 13 1971
    • (1971) , vol.217 , pp. 12-13
    • Marsden, C.D.1    Meadows, J.C.2    Merton, P.A.3
  • 63
    • 85176669152 scopus 로고    scopus 로고
    • A. Pedotti M. Ferrarin J. Quintern R. Riener Springer-Verlag New York
    • A. Pedotti M. Ferrarin J. Quintern R. Riener Novel stimulation strategies for the recruitment of paralyzed muscle Neuroprosth. 115 122 1996 Springer-Verlag New York
    • (1996) , pp. 115-122


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.