Possible functional roles of phase resetting during walking

Biological Cybernetics

Volumn 88, Issue 6, 2003, Pages 468-496

  Yamasaki, Taiga ^a   Nomura, Taishin ^a   Sato, Shunsuke ^a  

^a OSAKA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

BRAIN; CYBERNETICS; NEURAL NETWORKS; NEUROLOGY; PENDULUMS; PERTURBATION TECHNIQUES;

NEURAL CONTROL; PHASE RESETTING CURVE; WALKING;

BIOMEDICAL ENGINEERING;

ANIMALIA;

ARTICLE; BIOLOGICAL MODEL; MOTOR ACTIVITY; PHYSIOLOGY; WALKING;

MODELS, NEUROLOGICAL; MOTOR ACTIVITY; WALKING;

EID: 0142103170     PISSN: 03401200     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00422-003-0402-1     Document Type: Article

References (93)

1. Akazawa K, Aldridge JW, Steeves JD, Stein RB (1982) Modulation of stretch reflexes during locomotion in the mesencephalic cat. J Physiol 329: 553-567
2. Andersson O, Grillner S (1983) Peripheral control of the cat's step cycle. II. Entrainment of the central pattern generators for locomotion by sinusoidal hip movements during "fictive locomotion." Acta Physiol Scand 118(3): 229-239
3. Armstrong DM (1988) The supraspinal control of mammalian locomotion. J Physiol 405: 1-37
4. Arshavsky YI, Berkinblit MB, Fukson OI, Gelfand IM, Orlovsky GN (1972) Origin of modulation in neurones of the ventral spinocerebellar tract during locomotion. Brain Res 43(1):276-279
5. Audu ML, Davy DT (1985) The influence of muscle model complexity in musculoskeletal motion modeling. J Biomech Eng 107:(2): 147-157
6. Baev KV, Esipenko VB, Shimansky YP (1991a) Afferent control of central pattern generators: experimental analysis of scratching in the decerebrate cat. Neuroscience 40(1): 239-256
7. Baev KV, Esipenko VB, Shimansky YuP (1991b) Afferent control of central pattern generators: experimental analysis of locomotion in the decerebrate cat. Neuroscience 43(1): 237-247
8. Bashor DP (1998) A large-scale model of some spinal reflex circuits. Biol Cybern 78: 147-157
9. Berger W, Dietz V, Quintern J (1984) Corrective reactions to stumbling in man: neuronal coordination of bilateral leg muscule activity during gait. J Physiol 357: 109-125
10. Beuter A, Flashner H, Arabyan A (1986) Phase plane modeling of leg motion. Biol Cybern 53: 273-284
11. Bizzi E, Accornero N, Chapple W, Hogan N (1984) Posture control and trajectory formation during arm movement. J Neurosci 4(11): 2738-2744
12. Burdet E, Osu R, Franklin DW, Milner TE, Kawato M (2001) The central nervous system stabilizes unstable dynamics by learning optimal impedance. Nature 414(6862): 446-449
13. Calancie B, Needham-Shropshire B, Jacobs P, Willer K, Zych G, Green BA (1994) Involuntary stepping after chronic spinal cord injury - evidence for a central rhythm generator for locomotion in man. Brain 177: 1143-1159
14. Capaday C, Lavoie BA, Barbeau H, Schneider C, Bonnard M (1999) Studies on the corticospinal control of human walking. I. Responses to focal transcranial magnetic stimulation of the motor cortex. J Neurophysiol 81(1): 129-139
15. Cesari P, Shiratori T, Olivato P, Duarte M (2001) Analysis of kinematically redundant reaching movements using the equilibrium-point hypothesis. Biol Cybern 84: 217-226
16. Christensen LO, Morita H, Petersen N, Nielsen J (1999) Evidence suggesting that a transcortical reflex pathway contributes to cutaneous reflexes in the tibialis anterior muscle during walking in man. Exp Brain Res 124(1): 59-68
17. Conway BA, Hultborn H, Kiehn O (1987) Proprioceptive input resets central locomotor rhythm in the spinal cat. Exp Brain Res 68(3): 643-656
18. Dietz V (1992) Human neuronal control of automatic functional movements: interaction between central programs and afferent input. Physiol Rev 72(1): 33-69
19. Dietz V, Colombo G, Jensen L (1994) Locomotor activity in spinal man. The Lancet 344: 1260-1263
20. Dietz V, Colombo G, Jensen L, Baumgartner L (1995) Locomotor capacity of spinal cord in paraplegic patients. Ann Neurol 37: 574-582
21. Dimitrijevic MR, Gerasimenko Y, Pinter MM (1998) Evidence for a spinal central pattern generator in humans. Ann NY Acad Sci 860: 360-376
22. Duan XH, Allen RH, Sun JQ (1997) A stiffness-varying model of human gait. Med Eng Phys 19(6): 518-524
23. Duysens J (1977) Fluctuations in sensitivity to rhythm resetting effects during the cat's step cycle. Brain Res 133(1): 190-195
24. Duysens J, Trippel M, Horstmann GA, Dietz V (1990) Gating and reversal of reflexes in ankle muscles during human walking. Exp Brain Res 82: 351-358
25. Duysens J, van de Crommert HW (1998) Neural control of locomotion: the central pattern generator from cats to humans. Gait Posture 7(2): 131-141
26. Edgley SA (2001) Organisation of inputs to spinal interneurone populations. J Physiol 533(Pt 1): 51-56
27. Ermentrout GB (1981) n:m phase-locking of weakly coupled oscillators. J Math Biol 12(3): 327-342
28. Forssberg H, Grillner S, Rossignol S (1975) Phase dependent reflex reversal during walking in chronic spinal cats. Brain Res 85(1): 103-107
29. Forssberg H, Grillner S, Rossignol S (1977) Phasic gain control of reflexes from the dorsum of the paw during spinal locomotion. Brain Res 132(1): 121-139
30. Forssberg H (1979) Stumbling corrective reaction: a phase-dependent compensatory reaction during locomotion. J Neurophysiol 42(4): 936-953
31. Glass L, MacKey MC (1988) From clock to chaos: the rhythm of life. Princeton University Press, Princeton, NJ
32. Gomi H, Kawato M (1993) Neural-network control for a closed-loop system using feedback-error-learning. Neural Netw 6: 933-946
33. Gomi H, Kawato M (1997) Human arm stiffness and equilibrium point trajectory during multi-joint movement. Biol Cybern 76: 163-171
34. Grillner S, Zangger P (1979) On the central generation of locomotion in the low spinal cat. Exp Brain Res 34(2): 241-261
35. Grillner S (1981) Control of locomotion in bipeds, tetrapods, and fish. In: Brooks V (ed) Handbook of physiology. The nervous system, vol II. Waverly Press, Baltimore, MD, pp 1179-1236
36. Grillner S, Wallén P (1985) Central pattern generators for locomotion, with special reference to vertebrates. Annu Rev Neurosci 8: 233-61
37. Guckenheimer J (1975) Isochron and phaseless sets. J Math Biol 1: 259-273
38. Gurfinkel, V.S., Levik Y.S., Kazennikov, O.V., Selionov V.A. (1998) Locomotor-like movements evoked by leg muscle vibration in humans. Eur J Neurosci 10(5): 1608-1612
39. Hemami H., Golliday, C.L. (1977) The inverted pendulum and biped stability. Math Biosci 34: 95-110
40. Holmqvist B., Lundberg A. (1961) Differential supraspinal control of synaptic actions evoked by volleys in the flexion reflex afferents in alpha motoneurones. Acta Physiol Scand [Suppl 186] 54: 1-51
41. Hultborn H. (2001) State-dependent modulation of sensory feedback. J Physiol 533 (Pt 1): 5-13
42. Hurmuzlu Y. (1994) On the measurement of dynamic stability of human locomotion. J Biomech 27(2): 30-36
43. Ito S., Yuasa H., Luo Z.W., Ito M., Yanagihara D. (1998) A mathematical model of adaptive behavior in quadruped locomotion. Biol Cybern 78: 337-347
44. Jankowska E., Jukes M.G.M., Lund S., Lundberg A. (1967) The effect of DOPA on the spinal cord. 5. Reciprocal organization of pathways transmitting excitatory action to alpha motoneurones of flexors and extensors Acta Physiol Scand 70: 369-388
45. Jordan L.M., Pratt C.A., Menzies J.E. (1979) Locomotion evoked by brain stem stimulation: occurrence without phasic segmental afferent input. Brain Res 177(1): 204-207
46. Katayama M., Kawato M. (1993) Virtual trajectory and stiffness ellipse during multijoint arm movement predicted by neural inverse models. Biol Cybern 69: 353-362
47. Katoh R., Mori M. (1984) Control of biped locomotion giving asymptotic stability of trajectory. Automatica 20(4): 405-414
48. Kawato M., Suzuki R. (1978) Biological oscillators can be stopped-topological study of a phase response curve. Biol Cybern 30: 241-248
49. Kawato M. (1981) Transient and steady state phase response curves of limit cycle oscillators. J Math Biol 12: 13-30
50. Kawato M. Gomi H. (1992) A computational model of four regions of the cerebellum based on feedback-error learning. Biol Cybern 68: 95-103
51. Kawato M. (1999) Internal models for motor control and trajectory planning. Curr Opin Neurobiol 9: 718-727
52. Kearney R.E., Lortie M., Stein R.B. (1999) Modulation of stretch reflex during imposed walking movements of the human ankle. J Neurophysiol 81: 2893-2902
53. Kobayashi M., Nomura T., Sato S. (2000) Phase-dependent response during human locomotion to impulsive perturbation and its interpretation based on neural mechanism. Trans Jpn Soc Med Biol Eng (BME) 38(1): 20-32
54. Lacquaniti F., Soechting J.F. (1986) Simulation studies on the control of posture and movement in a multi-jointed limb. Biol Cybern 54: 367-378
55. Latash M.L. (1994) Reconstruction of equilibrium trajectories and joint stiffness patterns during single-joint movements under different instructions. Biol Cybern 71: 441-450
56. Lou J.S., Bloedel J.R. (1992a) Responses of sagittally aligned Purkinje cells during perturbed locomotion: relation of climbing fiber activation to simple spike modulation. J Neurophysiol 68(5): 1820-1833
57. Lou J.S., Bloedel J.R. (1992b) Responses of sagittally aligned Purkinje cells during perturbed locomotion: synchronous activation of climbing fiber inputs. J Neurophysiol 68(2): 570-580
58. Matsukawa K., Udo M. (1985) Responses of cerebellar Purkinje cells to mechanical perturbations during locomotion of decerebrate cats. Neurosci Res 2(5): 393-398
59. McGeer T. (1990) Passive dynamic walking. Int J Robot Res 9:62-82
60. Mori S. (1987) Integration of posture and locomotion in acute decerebrate cats and in awake, freely moving cats. Prog Neurobiol 28(2): 161-195
61. Nakano E., Imamizu H., Osu R., Uno Y., Gomi H., Yoshioka T., Kawato M. (1999) Quantitative examinations of internal representations for arm trajectory planning: minimum commanded torque change model. J Neurophysiol 81(5): 2140-255
62. Nashner L.M. (1980) Balance adjustments of humans perturbed while walking. J Neurophysiol 44(4): 650-664
63. Nomura T., Kobayashi M., Kozuka J., Sato S. (1998a) Coordinated responses of limb movement during human bipedal locomotion to external perturbation. Proceedings of the 20th annual international conference-IEEE/EMBS Hong Kong, pp 2422-2425
64. Nomura T., Kobayashi M., Nakashima T., Sato S. (1998b) Phase-dependent walking rhythm reset and bilateral leg coordination during human gait. Proceedings of the 5th international conference on neural information processing KitaKyusyu, Japan, pp 1196-1199
65. Ogihara N., Yamazaki N. (2001) Generation of human bipedal locomotion by a bio-mimetic neuro-musculo-skeletal model. Biol Cybern 84: 1-11
66. Orlovsky G.N., Deliagina T.G., Grillner S. (1999) Neuronal control of locomotion: from mollusc to man. Oxford University Press, New York
67. Pearson K.G., Ramirez J.M., Jiang W. (1992) Entrainment of the locomotor rhythm by group Ib afferents from ankle extensor muscles in spinal cats. Exp Brain Res 90(3): 557-566
68. Petersen N., Morita H., Nielsen J. (1999) Modulation of reciprocal inhibition between ankle extensors and flexors during walking in man. J Physiol 520(Pt 2): 605-619
69. Rho M.J., Lavoie S., Drew T. (1999) Effects of red nucleus microstimulation on the locomotor pattern and timing in the intact cat: a comparison with the motor cortex. J Neurophysiol 81, 2297-2315
70. Rossignol S., Dubuc R. (1994) Spinal pattern generation. Curr Opin Neurobiol 4(6): 894-902
71. Russell D.F., Zajac F.E. (1979) Effects of stimulating Deiters' nucleus and medial longitudinal fasciculus on the timing of the fictive locomotor rhythm induced in cats by DOPA. Brain Res 177(3): 588-592
72. Schaal S., Atkeson C.G. (1993) Open loop stable control strategies for robot juggling. IEEE International conference on robotics and automation, 3: 913-918
73. Schomburg E.D., Petersen N., Barajon I., Hultborn H. (1998) Flexor reflex afferents reset the step cycle during fictive locomotion in the cat. Exp Brain Res 122(3): 339-350
74. Shik M.L., Orlovsky, G.N. (1976) Neurophysiology of locomotor automatism. Physiol Rev 56(3): 465-501
75. Shimansky Y.P. (2000) Spinal motor control system incorporates an internal model of limb dynamics. Biol Cybern 83: 379-389
76. Sqalli-Houssaini Y., Cazalets J.R., Clarac F. (1993) Oscillatory properties of the central pattern generator for locomotion in neonatal rats. J Neurophysiol 70(2): 803-813
77. Stein P.S.G., Grillner S., Selverston, A.I., Stuart D.G. (1997) Neurons, networks, and motor behavior. MIT Press, Cambridge, MA
78. Stein R.B., Misiaszek J.E., Pearson K.G. (2000) Functional role of muscle reflexes for force generation in the decerebrate walking cat. J Physiol 525(3): 781-791
79. Sternad D., Duarte M., Katsumata H., Schaal S. (2000) Dynamics of a bouncing ball in human performance. Phys Rev E 63: 1-8
80. Taga G., Yamaguchi Y., Shimizu H. (1991) Self-organized control of bipedal locomotion by neural oscillators in unpredictable environment. Biol Cybern 65: 147-159
81. Taga G. (1994) Emergence of bipedal locomotion through entrainment among the neuro-musculo-skeletal system and the environment. Physica D 75: 190-208
82. Taga G. (1995a) A model of the neuro-musculo-skeletal system for human locomotion. I. Emergence of basic gait. Biol Cybern 73: 97-111
83. Taga G. (1995b) A model of the neuro-musculo-skeletal system for human locomotion. II. Real-time adaptability under various constraints. Biol Cybern 73:113-121
84. Taga G. (1998) A model of the neuro-musculo-skeletal system for anticipatory adjustment of human locomotion during obstacle avoidance. Biol Cybern 78: 9-17
85. Van den Bogert A.J., Schamhardt H.C., Crowe A. (1989) Simulation of quadrupedal locomotion using a rigid body model. J Biomech 22(1): 33-41
86. Vukobratović M., Borovac B., Surla D., Stokić D. (1990) Bibed locomotion. Springer, Berlin Heidelberg New York
87. Whelan, P.J. (1996) Control of locomotion in the decerebrate cat. Prog Neurobiol 49(5): 481-515
88. Wiggins S. (1990) Introduction to applied nonlinear dynamical systems and chaos. Springer, Berlin Heidelberg New York
89. Winfree A.T. (1980) The geometry of biological time. Springer, Berlin Heidelberg New York
90. Winters J.M., Stark L. (1985) Analysis of fundamental human movement patterns through the use of in-depth antagonistic muscle models. IEEE Transactions on biomedical engineering, 32(10): 826-839
91. Wolpert D.M., Miall R.C., Kawato M. (1998) Internal models in the cerebellum. Trends in cognitive sciences, 2(9): 338-347
92. Yanagihara D., Udo M. (1994) Climbing fiber responses in cerebellar vermal Purkinje cells during perturbed locomotion in decerebrate cats. Neurosci Res 19(2): 245-248
93. Yamaguchi G.T., Zajac F.E. (1990) Restoring unassisted natural gait to paraplegics via functional neuromuscular stimulation: a computer simulation study. IEEE Transactions on biomedical engineering 37(9): 886-902