Backward and forward leaning postures modelled by an fBm framework

Body leaning effects on postural control have been assessed by recording the centre of pressure (CP) displacements in healthy subjects under three experimental conditions (REF, BWD and FWD corresponding to upright, backward leaning and forward leaning of the body, respectively). The CP displacements were used to compute the motions of the vertical projections of the centre of gravity (CG(v)) and those of the difference CP-CG(v). A frequential analysis shows that the main effect takes place on CP-CG(v) motions, suggesting increased muscular activity in these leaning postures. In addition, changes also occur on CG(v) motions, especially in the antero-posterior (AP) direction. Modelling these motions as fractional Brownian motion (fBm) indicates that leaning the body induces, in the AP direction, a shift in the time interval Deltat at which the corrective process takes over the initial one operating in open-loop. In FWD and BWD conditions, the Deltat is diminished whilst the mean distance covered at this Deltat is increased for both CG(v) and CP-CG(v) motions. Moreover, more determinism in the overall upright stance control is observed in the corrective (closed-loop) process involving CG(v) motions. These facts emphasize the inability for the CP displacements to express properly the overall body sway in upright stance control.

[1]  M Schieppati,et al.  The limits of equilibrium in young and elderly normal subjects and in parkinsonians. , 1994, Electroencephalography and clinical neurophysiology.

[2]  M Schieppati,et al.  Time course of stabilometric changes after a strenuous treadmill exercise. , 1998, Archives of physical medicine and rehabilitation.

[3]  G. Somjen,et al.  FUNCTIONAL SIGNIFICANCE OF CELL SIZE IN SPINAL MOTONEURONS. , 1965, Journal of neurophysiology.

[4]  James Theiler,et al.  Testing for nonlinearity in time series: the method of surrogate data , 1992 .

[5]  A. Nardone,et al.  Human stance stability improves with the repetition of the task: effect of foot position and visual condition , 1997, Neuroscience Letters.

[6]  B. LeBaron,et al.  Nonlinear Dynamics and Stock Returns , 2021, Cycles and Chaos in Economic Equilibrium.

[7]  P Rougier,et al.  Automatic determination of the transition between successive control mechanisms in upright stance assessed by modelling of the centre of pressure. , 1999, Archives of physiology and biochemistry.

[8]  S. Watanabe,et al.  The functional role of sensory inputs from the foot: stabilizing human standing posture during voluntary and vibration-induced body sway , 1988, Neuroscience Research.

[9]  Annick Ledebt,et al.  Dynamical implication of anatomical and mechanical parameters in gait initiation process in children , 1994 .

[10]  J. Błaszczyk,et al.  Postural Sway and Perception of the Upright Stance Stability Borders , 1993, Perception.

[11]  Y Brenière,et al.  Estimating the centre of gravity of the body on the basis of the centre of pressure in standing posture. , 1997, Journal of biomechanics.

[12]  Y. Brenière Why we walk the way we do. , 1996, Journal of motor behavior.

[13]  P. Rougier,et al.  Adaptative effects of loss of vision on upright undisturbed stance , 2000, Brain Research.

[14]  Y Brenière,et al.  Are dynamic phenomena prior to stepping essential to walking? , 1987, Journal of motor behavior.

[15]  M Okada,et al.  Relation between sagittal distribution of the foot pressure in upright stance and relative EMG magnitude in some leg and foot muscles. , 1984, Journal of human ergology.

[16]  B. Mandelbrot,et al.  Fractional Brownian Motions, Fractional Noises and Applications , 1968 .

[17]  D. Winter,et al.  Unified theory regarding A/P and M/L balance in quiet stance. , 1996, Journal of neurophysiology.

[18]  P. Rougier,et al.  Center of Gravity Motions and Ankle Joint Stiffness Control in Upright Undisturbed Stance Modeled Through a Fractional Brownian Motion Framework , 2000, Journal of motor behavior.

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

[20]  P Rougier,et al.  A comparative analysis of the center of gravity and center of pressure trajectory path lengths in standing posture: an estimation of active stiffness. , 2000, Journal of applied biomechanics.

[21]  David A. Winter,et al.  Human balance and posture control during standing and walking , 1995 .