The dynamics of postural sway cannot be captured using a one-segment inverted pendulum model: a PCA on segment rotations during unperturbed stance.

Research on unperturbed stance is largely based on a one-segment inverted pendulum model. Recently, an increasing number of studies report a contribution of other major joints to postural control. Therefore this study evaluates whether the conclusions originating from the research based on a one-segment model adequately capture postural sway during unperturbed stance. High-pass filtered kinematic data (cutoff frequency 1/30 Hz) obtained over 3 min of unperturbed stance were analyzed in different ways. Variance of joint angles was analyzed. Principal-component analysis (PCA) was performed on the variance of lower leg, upper leg, and head-arms-trunk (HAT) angles, as well as on lower leg and COM angle (the orientation of the line from ankle joint to center of mass). It was found that the variance in knee and hip joint angles did not differ from the variance found in the ankle angle. The first PCA component indicated that, generally, the upper leg and HAT segments move in the same direction as the lower leg with a somewhat larger amplitude. The first PCA component relating ankle angle variance and COM angle variance indicated that the ankle joint angle displacement gives a good estimate of the COM angle displacement. The second PCA component on the segment angles partly explains the apparent discrepancy between these findings because this component points to a countermovement of the HAT relative to the ankle joint angle. It is concluded that postural control during unperturbed stance should be analyzed in terms of a multiple inverted pendulum model.

[1]  Leonard A. Rozendaal,et al.  The inverted pendulum model of bipedal standing cannot be stabilized through direct feedback of force and contractile element length and velocity at realistic series elastic element stiffness , 2008, Biological Cybernetics.

[2]  S. Park,et al.  Feedback equilibrium control during human standing , 2005, Biological Cybernetics.

[3]  Ian David Loram,et al.  Human balancing of an inverted pendulum with a compliant linkage: neural control by anticipatory intermittent bias , 2003, The Journal of physiology.

[4]  Kimitaka Nakazawa,et al.  Reciprocal angular acceleration of the ankle and hip joints during quiet standing in humans , 2001, Experimental Brain Research.

[5]  P. Morasso,et al.  Ankle muscle stiffness alone cannot stabilize balance during quiet standing. , 2002, Journal of neurophysiology.

[6]  N. Fisher,et al.  Statistical Analysis of Circular Data , 1993 .

[7]  R. Bootsma,et al.  Dynamics of human postural transitions. , 2002, Journal of experimental psychology. Human perception and performance.

[8]  Tim Kiemel,et al.  Controlling human upright posture: velocity information is more accurate than position or acceleration. , 2004, Journal of neurophysiology.

[9]  E. Batschelet Circular statistics in biology , 1981 .

[10]  D. Winter Biomechanics of Human Movement , 1980 .

[11]  H M Toussaint,et al.  Optimizing the determination of the body center of mass. , 1995, Journal of biomechanics.

[12]  R. Peterka Sensorimotor integration in human postural control. , 2002, Journal of neurophysiology.

[13]  Ian David Loram,et al.  Direct measurement of human ankle stiffness during quiet standing: the intrinsic mechanical stiffness is insufficient for stability , 2002, The Journal of physiology.

[14]  M. Turvey,et al.  Recurrence quantification analysis of postural fluctuations. , 1999, Gait & posture.

[15]  T. Stoffregen,et al.  On Perturbation and Pattern Coexistence in Postural Coordination Dynamics , 2007, Journal of motor behavior.

[16]  Tim Kiemel,et al.  A unified view of quiet and perturbed stance: simultaneous co-existing excitable modes , 2005, Neuroscience Letters.

[17]  L A Rozendaal,et al.  Stabilization of a multi-segment model of bipedal standing by local joint control overestimates the required ankle stiffness. , 2008, Gait & posture.

[18]  Leonard A. Rozendaal,et al.  Stability of bipedal stance: the contribution of cocontraction and spindle feedback , 2003, Biological Cybernetics.

[19]  N Lavie,et al.  Effect of articulatory and mental tasks on postural control. , 1999, Neuroreport.

[20]  A E Patla,et al.  Ankle muscle stiffness in the control of balance during quiet standing. , 2001, Journal of neurophysiology.

[21]  Tim Kiemel,et al.  Control and estimation of posture during quiet stance depends on multijoint coordination. , 2007, Journal of neurophysiology.

[22]  P. Morasso,et al.  Can muscle stiffness alone stabilize upright standing? , 1999, Journal of neurophysiology.

[23]  William H Gage,et al.  Kinematic and kinetic validity of the inverted pendulum model in quiet standing. , 2004, Gait & posture.

[24]  Ian David Loram,et al.  Human postural sway results from frequent, ballistic bias impulses by soleus and gastrocnemius , 2005, The Journal of physiology.

[25]  W. Edwards,et al.  Effect of joint stiffness on standing stability. , 2007, Gait & posture.

[26]  L. Nashner,et al.  The organization of human postural movements: A formal basis and experimental synthesis , 1985, Behavioral and Brain Sciences.

[27]  J. Frank,et al.  Influence of a visuo-spatial, verbal and central executive working memory task on postural control. , 2001, Gait & posture.

[28]  Benoît G. Bardy,et al.  Postural coordination modes considered as emergent phenomena , 1999 .

[29]  D. Winter,et al.  Stiffness control of balance in quiet standing. , 1998, Journal of neurophysiology.

[30]  K. Shockley,et al.  Postural responses to specific types of working memory tasks. , 2007, Gait & posture.

[31]  P. Morasso,et al.  Direct measurement of ankle stiffness during quiet standing: implications for control modelling and clinical application. , 2005, Gait & posture.

[32]  Frans C. T. van der Helm,et al.  Comparison of different methods to identify and quantify balance control , 2005, Journal of Neuroscience Methods.

[33]  Andreas Daffertshofer,et al.  PCA in studying coordination and variability: a tutorial. , 2004, Clinical biomechanics.