Stochastic two-delay differential model of delayed visual feedback effects on postural dynamics

We report on experiments and modelling involving the 'visuo-postural control loop' in the upright stance. We experimentally manipulated an artificial delay to the visual feedback during standing, presented at delays ranging from 0 to 1 s in increments of 250 ms. Using stochastic delay diff...

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Bibliographic Details
Published in:Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences physical, and engineering sciences, 2010-01, Vol.368 (1911), p.423-438
Main Authors: Boulet, Jason, Balasubramaniam, Ramesh, Daffertshofer, Andreas, Longtin, André
Format: Article
Language:English
Subjects:
Adult
Continuous Control
Data lines
Data models
Experimentation
Eyes
Feedback, Sensory - physiology
Female
Humans
Male
Models, Biological
Multi-Fractal
Negative Feedback
Parametric models
Pendulums
Postural Balance - physiology
Postural Sway
Posture - physiology
Proprioception
Standard deviation
Stochastic
Stochastic models
Stochastic Processes
Systems Biology
Time Factors
Time series
Two Time Delays
Vision, Ocular - physiology
Young Adult
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Summary:We report on experiments and modelling involving the 'visuo-postural control loop' in the upright stance. We experimentally manipulated an artificial delay to the visual feedback during standing, presented at delays ranging from 0 to 1 s in increments of 250 ms. Using stochastic delay differential equations, we explicitly modelled the centre-of-pressure (COP) and centre-of-mass (COM) dynamics with two independent delay terms for vision and proprioception. A novel 'drifting fixed point' hypothesis was used to describe the fluctuations of the COM with the COP being modelled as a faster, corrective process of the COM. The model was in good agreement with the data in terms of probability density functions, power spectral densities, short- and long-term correlations (Hurst exponents) as well the critical time between the two ranges.
ISSN:1364-503X
1471-2962
DOI:10.1098/rsta.2009.0214