Effects of fatigue on inter-cycle variability in cross-country skiing.

The aim of the study was to examine the inter-cycle variability in cross-country skiing gait and its evolution with fatigue. Both issues were investigated to understand the flexibility capabilities of the neuromuscular system. Four women and four men skied on a treadmill, up to exhaustion. The angular displacements of the arms and legs movements were obtained for 40s period at the beginning and end of the skiing test. Mean inter-cycle standard deviation (SD(c)), largest Lyapunov exponent (lambda(1)) and correlation dimension (D(c)) were computed for each time series and surrogate counterpart to evaluate the magnitude and nature of the variability. For any experimental time series, lambda(1) was positive, D(c) greater than 1 and both were found to be different from their surrogate counterparts, confirming that the temporal variations of the data had a deterministic origin. More, larger SD(c), D(c) and lambda(1) values were observed at the end of the test, indicating more variability, noise and local dynamic instability in the data with fatigue. Hence, the fluctuations of limb angular displacements displayed a chaotic behavior, which reflected flexibility of the neuromuscular system to adapt to possible perturbations during skiing. However, such chaotic behavior degraded with fatigue, making the neuromuscular system less adaptable and more unstable.

[1]  M. Turvey,et al.  Chaos in Human Rhythmic Movement. , 1997, Journal of motor behavior.

[2]  Michael Small,et al.  Surrogate Test for Pseudoperiodic Time Series Data , 2001 .

[3]  M. Pascual Understanding nonlinear dynamics , 1996 .

[4]  P B Persson,et al.  Chaos in blood pressure control. , 1996, Cardiovascular research.

[5]  Jeffrey M. Hausdorff,et al.  Is walking a random walk? Evidence for long-range correlations in stride interval of human gait. , 1995, Journal of applied physiology.

[6]  P G Weyand,et al.  Does the application of ground force set the energetic cost of cross-country skiing? , 1998, Journal of applied physiology.

[7]  James Theiler,et al.  Testing for nonlinearity in time series: the method of surrogate data , 1992 .

[8]  D. Rand,et al.  Dynamical Systems and Turbulence, Warwick 1980 , 1981 .

[9]  P. Grassberger,et al.  Characterization of Strange Attractors , 1983 .

[10]  K. Matsuoka,et al.  Effect of prolonged free-walking fatigue on gait and physiological rhythm. , 2004, Journal of biomechanics.

[11]  D. Sternad,et al.  Slower speeds in patients with diabetic neuropathy lead to improved local dynamic stability of continuous overground walking. , 2000, Journal of biomechanics.

[12]  Fraser,et al.  Independent coordinates for strange attractors from mutual information. , 1986, Physical review. A, General physics.

[13]  Heikki Rusko,et al.  Cross country skiing : handbook of sports medicine and science , 2003 .

[14]  L. Liebovitch,et al.  "Fractal dynamics of human gait: stability of long-range correlations in stride interval fluctuations". , 1996, Journal of applied physiology.

[15]  H. Abarbanel,et al.  Determining embedding dimension for phase-space reconstruction using a geometrical construction. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[16]  P. Rapp,et al.  Re-examination of the evidence for low-dimensional, nonlinear structure in the human electroencephalogram. , 1996, Electroencephalography and clinical neurophysiology.

[17]  G. Street Technological advances in cross-country ski equipment. , 1992, Medicine & Science in Sports & Exercise.

[18]  J. Dingwell,et al.  Kinematic variability and local dynamic stability of upper body motions when walking at different speeds. , 2006, Journal of biomechanics.

[19]  Per Tveit,et al.  Cross‐Country Skiing , 2004, Sports biomechanics.

[20]  F. Takens,et al.  On the nature of turbulence , 1971 .

[21]  N. Stergiou,et al.  Nonlinear dynamics indicates aging affects variability during gait. , 2003, Clinical biomechanics.

[22]  N. Stergiou,et al.  Optimal Movement Variability: A New Theoretical Perspective for Neurologic Physical Therapy , 2006, Journal of neurologic physical therapy : JNPT.

[23]  P. Grassberger,et al.  Measuring the Strangeness of Strange Attractors , 1983 .

[24]  F. Schena,et al.  Fatigue induced by a cross-country skiing KO sprint. , 2006, Medicine and science in sports and exercise.

[25]  Theiler,et al.  Spurious dimension from correlation algorithms applied to limited time-series data. , 1986, Physical review. A, General physics.

[26]  P. Komi,et al.  Preloading of the thrust phase in cross-country skiing. , 1987, International journal of sports medicine.

[27]  Jeffrey M. Hausdorff,et al.  Altered fractal dynamics of gait: reduced stride-interval correlations with aging and Huntington's disease. , 1997, Journal of applied physiology.

[28]  From Clocks to Chaos: The Rhythms of Life , 1988 .

[29]  M. Rosenstein,et al.  A practical method for calculating largest Lyapunov exponents from small data sets , 1993 .

[30]  F. Takens Detecting strange attractors in turbulence , 1981 .

[31]  G A Smith,et al.  Biomechanics of Crosscountry Skiing , 1990, Sports medicine.

[32]  A. Wolf,et al.  Determining Lyapunov exponents from a time series , 1985 .

[33]  Alain Martin,et al.  Neuromuscular fatigue after a ski skating marathon. , 2003, Canadian journal of applied physiology = Revue canadienne de physiologie appliquee.

[34]  Chi K. Tse,et al.  A Surrogate Test for Pseudo‐periodic Time Series Data , 2002 .

[35]  Biman Das,et al.  Calculating the dimension of attractors from small data sets , 1986 .

[36]  E Otero-Siliceo,et al.  Is it healthy to be chaotic? , 2003, Medical hypotheses.

[37]  Gerald A. Smith Biomechanics of Cross Country Skiing , 2008 .

[38]  Jeffrey M. Hausdorff,et al.  Fractal dynamics in physiology: Alterations with disease and aging , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[39]  J. Dingwell,et al.  Nonlinear time series analysis of normal and pathological human walking. , 2000, Chaos.

[40]  P E Rapp,et al.  A guide to dynamical analysis , 1994, Integrative physiological and behavioral science : the official journal of the Pavlovian Society.

[41]  H. Kantz,et al.  Nonlinear time series analysis , 1997 .

[42]  Bruce J. West,et al.  Chaos and fractals in human physiology. , 1990, Scientific American.

[43]  Nicholas Stergiou,et al.  An improved surrogate method for detecting the presence of chaos in gait. , 2006, Journal of biomechanics.