Time-Scales in Stochastic Map Models of Chaos in Isometric Force Production

2003 ◽  
Author(s):  
G. Mayer-Kress ◽  
K. Newell
2003 ◽  
Vol 03 (01) ◽  
pp. L23-L29 ◽  
Author(s):  
GOTTFRIED MAYER-KRESS ◽  
KATHERINE M. DEUTSCH ◽  
KARL M. NEWELL

In human movement, the large number of system degrees of freedom at different levels of analysis of the system, joints, muscles, motor units, cells etc, naturally affords complexity and adaptability in action. It also leads to variability in movement and its outcome, even in intentional efforts to reproduce the same movement or action goal. An example is continuous isometric force output to a constant force level where the amount and structure of force variability changes with information available, force level and individual differences. In this paper we model the control of isometric force production with piece-wise linear stochastic maps of multiple time scales. At the core of our model is a piecewise linear function, depending on three parameters that can be estimated from the observed data that is perturbed by additive Gaussian noise at a given level. The result of the stochastic forcing is that outside of a threshold interval the system behaves like a discrete Ornstein-Uhlenbeck process and inside it performs a Brownian motion. The model is shown to simulate the basic findings of the structure of human force variability that decreasing variability is correlated with increased dynamical complexity as measured with the "Approximate Entropy (ApEn)" statistic.


2012 ◽  
Vol 513 (1) ◽  
pp. 37-41 ◽  
Author(s):  
Dilip N. Athreya ◽  
Guy Van Orden ◽  
Michael A. Riley

2018 ◽  
Vol 43 (8) ◽  
pp. 816-821 ◽  
Author(s):  
David Bender ◽  
Jeremy R. Townsend ◽  
William C. Vantrease ◽  
Autumn C. Marshall ◽  
Ruth N. Henry ◽  
...  

The purpose of this study was to examine the effects of acute beetroot juice (BR) administration on repeated sprint performance and isometric force production in adolescent males. Twelve male adolescents (age, 16.8 ± 1.0 years; height, 178.8 ± 9.2 cm; mass, 74.8 ± 12.5 kg; peak height velocity, 2.53 ± 1.2 years) participated in this double-blind, placebo-controlled, crossover designed study. Participants consumed 2 × 70 mL of BR (∼12.9 mmol NO3−; Beet It Sport) or a nitrate-depleted placebo (PL) at 2.5 h prior to performing isometric mid-thigh pulls (IMTP) and 4 repeated 20-s Wingate sprints interspersed with 4 min of rest. Sprint data were analyzed by a 2 × 4 (group × time) repeated-measures ANOVA while a dependent t test was used to compare conditions for IMTP peak force. A significant main effect for time (p < 0.05) was observed for peak power (PP), average power (Pavg), and fatigue index (FI) across sprints. Compared with sprint 1, sprint 4 resulted in significant decreases in PP (p < 0.000; −16.6%) and Pavg (p = 0.000; −21.8%) and FI was significantly elevated (p < 0.000; 15.2%). No significant group × time interactions were observed between conditions for PP (p = 0.402), Pavg (p = 0.479), or FI (p = 0.37). IMTP peak force was significantly higher (p = 0.004; 13.9%) following BR consumption compared with PL. The repeated sprint protocol resulted in significant fatigue while BR did not influence sprint performance. However, it appears BR administration may improve peak force production in adolescent males.


2009 ◽  
Vol 35 (2) ◽  
pp. 439-446 ◽  
Author(s):  
Jacob J. Sosnoff ◽  
Andrew D. Valantine ◽  
Karl M. Newell

1990 ◽  
Vol 61 (4) ◽  
pp. 338-343
Author(s):  
Robert W. Christina ◽  
James H. Cauraugh ◽  
Aaron Shire

PLoS ONE ◽  
2014 ◽  
Vol 9 (2) ◽  
pp. e88105 ◽  
Author(s):  
Gaurav Misra ◽  
Tiffany A. Paris ◽  
Derek B. Archer ◽  
Stephen A. Coombes

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