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

by Jason Boulet, Ramesh Balasubramaniam, Andreas Daffertshofer, and André Longtin

Philosophical Transactions AVolume 368(1911):423-438

January 28, 2010

©2010 by The Royal Society

COP time series for (a) no vision, (b) 0 ms delay and (c) 750 ms delay.

Jason Boulet et al. Phil. Trans. R. Soc. A 2010;368:423-438

©2010 by The Royal Society

Standard deviation of COP times series for all conditions.

Jason Boulet et al. Phil. Trans. R. Soc. A 2010;368:423-438

©2010 by The Royal Society

PSDs for (a) no vision, (b) 0 ms delay and (c) 750 ms delay.

Jason Boulet et al. Phil. Trans. R. Soc. A 2010;368:423-438

©2010 by The Royal Society

PDFs for (a) no vision, (b) 0 ms delay and (c) 750 ms delay.

Jason Boulet et al. Phil. Trans. R. Soc. A 2010;368:423-438

©2010 by The Royal Society

Mean-squared displacement for the no vision condition.

Jason Boulet et al. Phil. Trans. R. Soc. A 2010;368:423-438

©2010 by The Royal Society

(a) Short- Hs and (b) long-range Hurst exponents Hl and (c) critical times.

Jason Boulet et al. Phil. Trans. R. Soc. A 2010;368:423-438

©2010 by The Royal Society

Inverted pendulum free-body diagram where x represents ML and y, AP.

Jason Boulet et al. Phil. Trans. R. Soc. A 2010;368:423-438

©2010 by The Royal Society

For all time series τvis=0.5 s and (a) τprop=0.2 s, (b) τprop=0.365 s and (c) τprop=0.450 s.

Jason Boulet et al. Phil. Trans. R. Soc. A 2010;368:423-438

©2010 by The Royal Society

Critical time τc as a function of proprioceptive delay τprop and visual delay τvis.

Jason Boulet et al. Phil. Trans. R. Soc. A 2010;368:423-438

©2010 by The Royal Society

(a) A sample realization of s(t) for experimental visual delay of 750 ms and (b) its corresponding PSD.

Jason Boulet et al. Phil. Trans. R. Soc. A 2010;368:423-438

©2010 by The Royal Society