Temporal Optimality of a Via-Posture on Trajectory during Sit-to-Stand and Back-to-Sit Movements

Abstract

The purpose of this study was to examine the hypothesis that the minimum angle-jerk with via-point model could account for the temporal consistency of kinematics in sit-to-stand (STS) and back-to-sit (BTS) movements. The positions of bony landmarks on the subjects during the tasks were recorded using a Vicon motion analysis system to yield the angular displacement and position of the center of mass (COM) of a three-link rigid body model in the sagittal plane. Minimum angle-jerk and minimum jerk trajectories with a via-point were computed for joint angle and COM, respectively. Five to six candidate points were selected as the via-point from the measured trajectory based on the separate kinematic events. The results show the optimal angular trajectories using the via-points (via-angles) before the seat-off for STS, and at around the seat-contact for BTS resembles the measured angular trajectories well, indicating that the posture at the via-point was temporally optimal to produce the minimum angle-jerk trajectory for both movements. It is hypothesized that the multi-joint angular patterns during STS and BTS movements were organized to pass through the via-point, namely the via-posture along the minimum angle-jerk trajectory.

Share and Cite:

Yamasaki, H. , Nakamura, U. and Nagasaki, H. (2014) Temporal Optimality of a Via-Posture on Trajectory during Sit-to-Stand and Back-to-Sit Movements. Journal of Biomedical Science and Engineering, 7, 387-396. doi: 10.4236/jbise.2014.77041.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] Bernstein, N.A. (1967) The Co-Ordination and Regulation of Movements. Pergamon Press, New York.
[2] Flash, T. and Hogan, N. (1985) The Coordination of Arm Movements: An Experimentally Confirmed Mathematical Model. Journal of Neuroscience, 5, 1688-1703.
[3] Uno, Y., Kawato, M. and Suzuki, R. (1989) Formation and Control of Optimal Trajectory in Human Multijoint Arm Movement. Biological Cybernetics, 61, 89-101.
http://dx.doi.org/10.1007/BF00204593
[4] Nakano, E., Imamizu, H., Osu, R., Uno, Y., Gimi, H., Yoshioka, T. and Kawato, M. (1999) Quantitative Examinations of Internal Representations for Arm Trajectory Planning: Minimum Commanded Torque Change Model. The Journal of Neurophysiology, 81, 2140-2155.
[5] Okadome, T. and Honda, M. (1999) Kinematic Construction of the Trajectory of Sequential Arm Movements. Biological Cybernetics, 80, 157-169.
http://dx.doi.org/10.1007/s004220050514
[6] Wada, Y., Kaneko, Y., Nakano, E., Osu, R. and Kawato, M. (2001) Quantitative Examinations for Multi Joint Arm Trajectory Planning—Using a Robust Calculation Algorithm of the Minimum Commanded Torque Change Trajectory. Neural Networks, 14, 381-393.
http://dx.doi.org/10.1016/S0893-6080(01)00026-0
[7] Friedman, J. and Flash, T. (2009) Trajectory of the Index Finger during Grasping. Experimental Brain Research, 196, 497-509.
http://dx.doi.org/10.1007/s00221-009-1878-2
[8] Pham, Q.C., Hicheur, H., Arechavaleta, G., Laumond, J.P. and Berthoz, A. (2007) The Formation of Trajectories during Goal-Oriented Locomotion in Humans. II. A Maximum Smoothness Model. European Journal of Neuroscience, 26, 2391-2403.
http://dx.doi.org/10.1111/j.1460-9568.2007.05835.x
[9] Xiang, Y., Arora, J.S. and Abdel-Malek, K. (2011) Optimization-Based Prediction of Asymmetric Human Gait. Journal of Biomechanics, 44, 683-693.
http://dx.doi.org/10.1016/j.jbiomech.2010.10.045
[10] Kuzelicki, J., Zefran, M., Burger, H. and Bajd, T. (2005) Synthesis of Standing-Up Trajectories Using Dynamic Optimization. Gait & Posture, 21, 1-11.
http://dx.doi.org/10.1016/j.gaitpost.2003.11.004
[11] Yamasaki, H.R., Kambara, H. and Koike, Y. (2011) Dynamic Optimization of the Sit-to-Stand Movement. Journal of Applied Biomechanics, 27, 306-313.
[12] Sadeghi, M., Andani, M.E., Bahrami, F. and Parnianpour, M. (2013) Trajectory of Human Movement during Sit to Stand: A New Modeling Approach Based on Movement Decomposition and Multi-Phase Cost Function. Experimental Brain Research, 229, 221-234.
http://dx.doi.org/10.1007/s00221-013-3606-1
[13] Yamasaki, T., Gotoh, K. and Xin, X. (2010) Optimality of a Kip Performance on the High Bar: An Example of Skilled Goal-Directed Whole-Body Movement. Human Movement Science, 29, 464-482.
http://dx.doi.org/10.1016/j.humov.2009.11.007
[14] Pai, Y.C. and Rogers, M.W. (1990) Control of Body Mass Transfer as a Function of Speed of Ascent in Sit-to-Stand. Medicine and Science in Sports and Exercise, 22, 378-384.
http://dx.doi.org/10.1249/00005768-199006000-00015
[15] Dubost, V., Beauchet, O., Manckoundia, P., Herrmann, F. and Mourey, F. (2005) Decreased Trunk Angular Displacement during Sitting down: An Early Feature of Aging. Physical Therapy, 85, 404-412.
[16] Wada, Y. and Kawato, M. (2004) A Via-Point Time Optimization Algorithm for Complex Sequential Trajectory Formation. Neural Networks, 17, 353-364.
http://dx.doi.org/10.1016/j.neunet.2003.11.009
[17] Winter, D.A. (2009) Biomechanics and Motor Control of Human Movement. Wiley, Hoboken.
http://dx.doi.org/10.1002/9780470549148
[18] Bryant, J.T., Wevers, H.W. and Lowe, P.J. (1984) Methods of Data Smoothing for Instantaneous Center of Rotation Measurements. Medical and Biological Engineering and Computing, 22, 597-602.
http://dx.doi.org/10.1007/BF02443876
[19] Kralj, A., Jaeger, R.J. and Munih, M. (1990) Analysis of Standing up and Sitting down in Humans: Definitions and Normative Data Presentation. Journal of Biomechanics, 23, 1123-1138.
http://dx.doi.org/10.1016/0021-9290(90)90005-N
[20] Riley, P.O., Schenkman, M.L., Mann, R.W. and Hodge, W.A. (1991) Mechanics of a Constrained Chair-Rise. Journal of Biomechanics, 24, 77-85.
http://dx.doi.org/10.1016/0021-9290(91)90328-K
[21] Kerr, K.M., White, J.A., Barr, D.A. and Mollan, R.A.B. (1994) Standardization and Definitions of the Sit-Stand-Sit Movement Cycle. Gait & Posture, 2, 182-190.
http://dx.doi.org/10.1016/0966-6362(94)90006-X
[22] Alexander, N.B., Schultz, A.B. and Warwick, D.N. (1991) Rising from a Chair: Effects of Age and Functional Ability on Performance Biomechanics. Journal of Gerontology, 46, M91-M98.
http://dx.doi.org/10.1093/geronj/46.3.M91
[23] Schultz, A.B., Alexander, N.B. and Ashton-Miller, J.A. (1992) Biomechanical Analyses of Rising from a Chair. Journal of Biomechanics, 25, 1383-1391.
http://dx.doi.org/10.1016/0021-9290(92)90052-3
[24] Etnyre, B. and Thomas, D.Q. (2007) Event Standardization of Sit-to-Stand Movements. Physical Therapy, 87, 1651-1666.
http://dx.doi.org/10.2522/ptj.20060378
[25] Matsui, T. (2010) Optimal Control Model for Reproducing Human Rising Movements from Chair and Its Effectiveness Verification. 2010 IEEE International Conference on Robotics and Biomimetics (ROBIO), Tianjin, 944-949.
http://dx.doi.org/10.1109/ROBIO.2010.5723453
[26] Scholz, J.P. and Schöner, G. (1999) The Uncontrolled Manifold Concept: Identifying Control Variables for a Functional Task. Experimental Brain Research, 126, 289-306.
http://dx.doi.org/10.1007/s002210050738
[27] Reisman, D.S., Scholz, J.P. and Schöner, G. (2002) Coordination Underlying the Control of Whole Body Momentum during Sit-to-Stand. Gait & Posture, 15, 45-55.
http://dx.doi.org/10.1016/S0966-6362(01)00158-8
[28] Shumway-Cook, A. and Wool-lacott, M.H. (2007) Motor Control: Translating Research into Clinical Practice. 3rd Edition, Lippincott Williams & Wilkins, Philadelphia.

Copyright © 2023 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.