A two-joint human posture control model with realistic neural delays

IEEE Transactions on Neural Systems and Rehabilitation Engineering

Volumn 20, Issue 5, 2012, Pages 738-748

  Li, Yao ^a   Levine, William S ^b   Loeb, Gerald E ^a  

^a University of Southern California   (United States)

^b UNIVERSITY OF MARYLAND   (United States)

Author keywords

Convex optimization; model predictive control (MPC); neural delay; nonlinear optimal control; postural sway

Indexed keywords

BODY DYNAMICS; CENTER OF PRESSURE; COMPLEX MODEL; DOUBLE INVERTED PENDULUM; ENGINEERING MODELS; HUMAN POSTURES; MODEL PREDICTIVE; NEURAL DELAY; NON-LINEAR OPTIMAL CONTROL; NON-LINEAR RESPONSE; PERFORMANCE MEASURE; POSTURAL SWAY; SAGITTAL PLANE;

CONTROL; CONVEX OPTIMIZATION; MODEL PREDICTIVE CONTROL;

PREDICTIVE CONTROL SYSTEMS;

ANKLE; BIOLOGICAL MODEL; BODY EQUILIBRIUM; BODY POSTURE; COMPUTER SIMULATION; FEEDBACK SYSTEM; HUMAN; KNEE; MUSCLE CONTRACTION; PHYSIOLOGY; REVIEW; SKELETAL MUSCLE;

ANKLE JOINT; COMPUTER SIMULATION; FEEDBACK, PHYSIOLOGICAL; HUMANS; KNEE JOINT; MODELS, BIOLOGICAL; MUSCLE CONTRACTION; MUSCLE, SKELETAL; POSTURAL BALANCE; POSTURE;

EID: 84866127810     PISSN: 15344320     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNSRE.2012.2199333     Document Type: Article

References (58)

1. F. B. Horak and J. M. Macpherson, "Postural orientation and equilibrium," in Handbook of Physiology. Exercise: Regulation and Integration of Multiple Systems. Control of Respiratory and Cardiovascular Systems. New York: Oxford Univ. Press, 1996, pp. 255-292.
2. N. Accornero et al., "Clinical multisegmental posturography: Age-related changes in stance control," Electroencephalogr. Clin. Neurophysiol./Electromyogr. Motor Control, vol. 105, no. 3, pp. 213-219, 1997. (Pubitemid 27252840)
3. V. P. Panzer et al., "Biomechanical assessment of quiet standing and changes associated with aging," Arch. Phys. Medicine Rehab., vol. 76, pp. 151-157, 1995.
4. R. Fitzpatrick and D. I. McCloskey, "Proprioceptive, visual and vestibular thresholds for the perception of sway during standing in humans," J. Physiol., vol. 478, pp. 173-186, 1994. (Pubitemid 24221294)
5. R. C. Fitzpatrick et al., "Ankle stiffness of standing humans in response to imperceptible perturbation: Reflex and task-dependent components," J. Physiol., vol. 454, pp. 533-547, 1992.
6. J. J. Jeka et al., "Coupling of fingertip somatosensory information to head and body sway," Exp. Brain Res., vol. 113, pp. 475-483, 1997. (Pubitemid 27140271)
7. K. H. Mauritz and V. Dietz, "Characteristics of postural instability induced by ischemic blocking of leg afferents," Exp. Brain Res., vol. 38, pp. 117-119, 1980. (Pubitemid 10176987)
8. J. J. Collins and C. J. Luca, "The effects of visual input on open-loop and closed-loop postural control mechanisms," Exp. Brain Res., vol. 103, pp. 151-163, 1995.
9. T. Dijkstra et al., "Frequency dependence of the action-perception cycle for postural control in a moving visual environment: Relative phase dynamics," Biol. Cybern., vol. 71, pp. 489-501, 1994.
10. B. L. Day et al., "Human body-segment tilts induced by galvanic stimulation: A vestibularly driven balance protection mechanism," J. Physiol., vol. 500, pp. 661-672, 1997. (Pubitemid 27207828)
11. M. Lacour et al., "Sensory strategies in human postural control before and after unilateral vestibular neurotomy," Exp. Brain Res., vol. 115, pp. 300-310, 1997. (Pubitemid 27261145)
12. D. A. Winter et al., "Stiffness control of balance in quiet standing," J. Neurophysiol., vol. 80, pp. 1211-1221, 1998. (Pubitemid 28495721)
13. F. Bell, Principles of Mechanics and Biomechanics. Cheltenham, U.K.: Stanley Thornes, 1998.
14. R. Fitzpatrick et al., "Loop gain of reflexes controlling human standing measured with the use of postural and vestibular disturbances," J. Neurophysiol., vol. 76, pp. 3994-4008, 1996. (Pubitemid 27009701)
15. J. J. Collins and C. J. De Luca, "Random walking during quiet standing," Phys. Rev. Lett., vol. 73, p. 764, 1994.
16. D. A. Winter et al., "Ankle muscle stiffness in the control of balance during quiet standing," J. Neurophysiol., vol. 85, pp. 2630-2633, 2001. (Pubitemid 32525539)
17. J. J. Collins and C. J. Luca, "Open-loop and closed-loop control of posture: A random-walk analysis of center-of-pressure trajectories," Exp. Brain Res., vol. 95, pp. 308-318, 1993. (Pubitemid 23288339)
18. Y. Aramaki et al., "Reciprocal angular acceleration of the ankle and hip joints during quiet standing in humans," Exp. Brain Res., vol. 136, pp. 463-473, 2001. (Pubitemid 32193847)
19. R. Fitzpatrick et al., "Stable human standing with lower-limb muscle afferents providing the only sensory input," J. Physiol., vol. 480.2, pp. 395-403, 1994. (Pubitemid 24340943)
20. J. Jeka et al., "Multisensory information for human postural control: Integrating touch and vision," Exp. Brain Res., vol. 134, pp. 107-125, 2000.
21. J. J. Jeka et al., "The structure of somatosensory information for human postural control," Motor Contr., vol. 2, pp. 13-33, 1998.
22. A. D. Kuo, "An optimal control model for analyzing human postural balance," IEEE Trans. Biomed. Eng., vol. 42, no. 1, pp. 87-101, Jan. 1995.
23. J. He et al., "Feedback gains for correcting small perturbations to standing posture," IEEE Trans. Automat. Control, vol. 36, no. 2, pp. 322-332, Feb. 1991.
24. E. F. Camacho and C. Bordons, Model Predictive Control, 2nd ed. New York: Springer, 2004.
25. J. B. Rawlings, "Tutorial overview of model predictive control," IEEE Trans. Contr. Syst., vol. 20, no. 1, pp. 38-52, Feb. 2000.
26. S. J. Qin and T. A. Badgwell, "A survey of industrial model predictive control technology," Contr. Eng. Practice, vol. 11, pp. 733-764, 2003. (Pubitemid 36906334)
27. L. M. Nashner, "Adapting reflexes controlling the human posture," Exp. Brain Res., vol. 26, pp. 59-72, 1976.
28. L. M. Nashner, "Fixed patterns of rapid postural responses among leg muscles during stance," Exp. Brain Res., vol. 30, pp. 13-24, 1977. (Pubitemid 8198564)
29. H. van der Kooij et al., "A multisensory integration model of human stance control," Biol. Cybern., vol. 80, pp. 299-308, 1999.
30. R. J. Peterka, "Postural control model interpretation of stabilogram diffusion analysis," Biol. Cybern., vol. 82, pp. 335-343, 2000.
31. E. Todorov and M. I. Jordan, "Optimal feedback control as a theory of motor coordination," Nature Neurosci., vol. 5, pp. 1226-1235, 2002. (Pubitemid 35247183)
32. R. Shadmehr and J.W. Krakauer, "A computational neuroanatomy for motor control," Exp. Brain Res., vol. 185, pp. 359-381, 2008.
33. M. Athans and P. L. Falb, Optimal Control. New York: Mc-Graw-Hill, 1966.
34. R. Johansson et al., "Optimal coordination and control of posture and movements," J. Physiol.-Paris, vol. 103, pp. 159-177.
35. W. S. Levine, The Control Handbook, 1st ed. Boca Raton, FL: CRC Press, 1996.
36. P. G. Morasso andM. Schieppati, "Can muscle stiffness alone stabilize upright standing?," J. Neurophysiol., vol. 82, pp. 1622-1626, 1999. (Pubitemid 29439724)
37. R. J. Peterka and M. S. Benolken, "Relation between perception of vertical axis rotation and vestibulo-ocular reflex symmetry," J. Vestib. Res., vol. 2, pp. 59-69, 1992.
38. D. A. Winter, Biomechanics and Motor Control, 3rd ed. Hoboken, NJ: Wiley, 2004.
39. J. Milton, "The time-delayed inverted pendulum: Implications for human balance control," Chaos, vol. 19, p. 026110, 2009.
40. R. J. Peterka, "Sensorimotor integration in human postural control," J. Neurophysiol., vol. 88, pp. 1097-1118, 2002. (Pubitemid 35025365)
41. R. Nijhawan, "Visual prediction: Psychophysics and neurophysiology of compensation for time delays," Behavioral Brain Sci., vol. 31, pp. 179-198, 2008.
42. R. S.Woodworth and H. Schlosberg, Experimental Psychology. New York: Holt Rinehart Winston, 1954.
43. Y. Li andW. S. Levine, "An optimal control model for human postural regulation," in Proc. 2009 Am. Control Conf., 2009, pp. 1143-1148.
44. Y. Li and W. S. Levine, "An optimal model predictive control model for human postural regulation," presented at the 17th Mediterranean Conf. Control Automation, Greece, 2009.
45. Y. Li and W. S. Levine, "Models for human postural regulation that include realistic delays and partial observations," in Proc. 48th IEEE Conf. Decision Control Conf., Shanghai, China, 2009, pp. 4590-4595.
46. K. E. Jones et al., "Sources of signal-dependent noise during isometric force production," J. Neurophysiol., vol. 88, pp. 1533-1544, 2002. (Pubitemid 35025406)
47. S. P. Boyd and L. Vandenberghe, Convex Optimization. Cambridge, U.K.: Cambridge Univ. Press, 2004.
48. G. E. Loeb and C.Ghez, E. R. Kandel, Ed. et al., "The motor unit and motor action," in Principles Neural Sci., 4th ed. New York:McGraw-Hill, 2000, pp. 676-686.
49. N. Bernstein, The Coordination and Regulation of Movement. New York: Pergamon, 1967.
50. C. M. Harris and D. M. Wolpert, "Signal dependent noise determines motor planning," Nature, vol. 394, no. 6695, pp. 780-784, 1998. (Pubitemid 28391641)
51. F. C. Anderson and M. G. Pandy, "Static and dynamic optimization solutions for gait are practically equivalent," J. Biomech., vol. 34, pp. 153-161, 2001. (Pubitemid 32101528)
52. M. G. Pandy, F. E. Zajac, E. Sim, and W. S. Levine, "An optimal control model for maximum-height jumping," J. Biomech., vol. 23, pp. 1185-1198, 1990.
53. C. C. Raasch, F. E. Zajac, B.Ma, andW. S. Levine, "Muscle coordination of maximum speed pedaling," J. Biomech., vol. 30, pp. 595-602, 1997. (Pubitemid 27214191)
54. P. V. Komi,M. Salonen,M. Jarvinen, and O. Kokko, "In vivo registration of Achilles tendon forces in man I.Methodological development," Int. J. Sports Med., 1987.
55. W. E. Byerly, An Introduction to the Use of Generalized Coordinates in Mechanics and Physics. New York: Dover, 1965.
56. C. Nicol and P. V. Komi, "Significance of passively induced stretch reflexes on achilles tendon force enhancement," Muscle Nerve, vol. 21, no. 11, pp. 1546-1548, 1998. (Pubitemid 28453149)
57. S. H. Scott and G. E. Loeb, "The mechanical properties of the aponeurosis and tendon of the cat soleus muscle during whole-muscle isometric contractions," J. Morph., vol. 224, pp. 73-86, 1995.
58. R. Davoodi, C. Urata, M. Hauschild, M. Khachani, and G. E. Loeb, "Model-based development of neural prostheses for movement," IEEE Trans. Biomed. Eng., vol. 54, no. 11, pp. 1909-1918, Nov. 2007. (Pubitemid 350006057)