Noise-induced transitions in human postural sway.

Correlation functions with multiple scaling regions occur in the description of the fluctuations in the center of pressure during quiet standing. Postural sway is modeled as an inverted pendulum with a delayed feedback constructed such that for deviations beyond a spatial threshold a constant restoring force is engaged. In the absence of noise, two stable limit cycles coexist. The correlation function depends on the added noise intensity: at intermediate noise levels three scaling regions appear whereas only two occur for high noise levels. Our observations suggest that correlation functions with multiple scaling regions reflect noise-induced transitions in bistable dynamical systems. @S1063-651X~96!00112-2#

[1]  M. Mackey,et al.  Solution moment stability in stochastic differential delay equations. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[2]  P. Grigg,et al.  Response of primate joint afferent neurons to mechanical stimulation of knee joint. , 1977, Journal of neurophysiology.

[3]  Frank Moss,et al.  STOCHASTIC RESONANCE: TUTORIAL AND UPDATE , 1994 .

[4]  Foss,et al.  Multistability and delayed recurrent loops. , 1996, Physical review letters.

[5]  Collins,et al.  Pinned polymer model of posture control. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[6]  K. Ikeda,et al.  High-dimensional chaotic behavior in systems with time-delayed feedback , 1987 .

[7]  Sue Ann Campbell,et al.  Complex dynamics and multistability in a damped harmonic oscillator with delayed negative feedback. , 1995, Chaos.

[8]  A B Schultz,et al.  Association of age with the threshold for detecting ankle inversion and eversion in upright stance. , 1995, Age and ageing.

[9]  René Lefever,et al.  Noise-Induced Transitions: Theory and Applications in Physics, Chemistry, and Biology , 2007 .

[10]  J Rinzel,et al.  Threshold for repetitive activity for a slow stimulus ramp: a memory effect and its dependence on fluctuations. , 1988, Biophysical journal.

[11]  Peter Davis,et al.  Oscillation modes of laser diode pumped hybrid bistable system with large delay and application to dynamical memory , 1992 .

[12]  Fritz Schürer Zur Theorie des Balancierens , 1948 .

[13]  David J. Anderson,et al.  Parametric analysis of dynamic postural responses , 1984, Biological cybernetics.

[14]  Bulsara,et al.  Time-interval sequences in bistable systems and the noise-induced transmission of information by sensory neurons. , 1991, Physical review letters.

[15]  S. G. Lee,et al.  Peripheral neuropathy effect on ankle inversion and eversion detection thresholds. , 1995, Archives of physical medicine and rehabilitation.

[16]  U. an der Heiden,et al.  Delays in physiological systems , 1979 .

[17]  Michael C. Mackey,et al.  Chaos, Fractals, and Noise , 1994 .

[18]  J. Collins,et al.  Upright, correlated random walks: A statistical-biomechanics approach to the human postural control system. , 1995, Chaos.

[19]  Michael C. Mackey,et al.  Solution multistability in first-order nonlinear differential delay equations. , 1993, Chaos.

[20]  D. Kleinfeld,et al.  Circuits constructed from identified Aplysia neurons exhibit multiple patterns of persistent activity. , 1990, Biophysical journal.

[21]  Marjorie H. Woollacott,et al.  Effects of ethanol on postural adjustments in humans , 1983, Experimental Neurology.

[22]  Longtin Noise-induced transitions at a Hopf bifurcation in a first-order delay-differential equation. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[23]  Longtin,et al.  Noise and critical behavior of the pupil light reflex at oscillation onset. , 1990, Physical review. A, Atomic, molecular, and optical physics.

[24]  Raymond Kapral,et al.  Noisy Delay-Differential Equations In Optical Bistability , 1986, Other Conferences.

[25]  Michael C. Mackey,et al.  The dynamics of production and destruction: Analytic insight into complex behavior , 1982 .

[26]  J. Rinzel,et al.  The slow passage through a Hopf bifurcation: delay, memory effects, and resonance , 1989 .

[27]  John G. Milton,et al.  Limit cycles, tori, and complex dynamics in a second-order differential equation with delayed negative feedback , 1995 .

[28]  J. Collins,et al.  Random walking during quiet standing. , 1994, Physical review letters.

[29]  Milton,et al.  Delayed random walks. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[30]  L. Glass,et al.  Oscillation and chaos in physiological control systems. , 1977, Science.

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