Model of two noise source dependent Ornstein-Uhlenbeck processes applied to postural sway

Bio Systems
Maciej Bosek

Abstract

In this study the postural control system is modeled in terms of two counteracting bio-subsystems. Their activities are described by two Ornstein-Uhlenbeck processes with different-in-magnitude noise sources. The model is constructed as a sum of these processes, where in each of them the same noise source with opposite sign of the noise coefficients was introduced. Since the friction coefficients are also different for these processes, the delay of a crossover from ballistic to diffusive motion for one of the subsystems is greater than for its counterpart. It turns out that for smaller time intervals a superdiffusive behavior is observed, whereas, counteraction of subsystems is called into play for a larger time intervals, what for investigated range of data, is exhibited as a slow, subdiffusive behavior.

References

Jul 1, 1995·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·C C Chow, J J Collins
Dec 2, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·F Alonso-Sánchez, D Hochberg
Apr 17, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·T D FrankP J Beek
Apr 6, 2004·Human Movement Science·Maciej BosekAndrzej Kowalczyk
Feb 22, 2005·Neuroscience Letters·Maciej BosekIgnacy Lubiński
Feb 13, 2007·The Journal of Physical Chemistry. B·I Santamaría-HolekA Gadomski

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Citations

Aug 6, 2010·Annals of Biomedical Engineering·Sofiane RamdaniPierre Louis Bernard
May 27, 2015·IEEE Transactions on Neural Systems and Rehabilitation Engineering : a Publication of the IEEE Engineering in Medicine and Biology Society·Manuel E HernandezHoward Poizner

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