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Stochastic two-delay differential model of delayed visual feedback effects on postural dynamics by Jason Boulet, Ramesh Balasubramaniam, Andreas Daffertshofer,

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Presentation on theme: "Stochastic two-delay differential model of delayed visual feedback effects on postural dynamics by Jason Boulet, Ramesh Balasubramaniam, Andreas Daffertshofer,"— Presentation transcript:

1 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 A Volume 368(1911):423-438 January 28, 2010 ©2010 by The Royal Society

2 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

3 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

4 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

5 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

6 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

7 (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

8 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

9 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

10 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

11 (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


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