A holistic approach to study the temporal variability in gait.

Movement variability has become an important field of research and has been studied to gain a better understanding of the neuro-muscular control of human movements. In addition to studies investigating "amplitude variability" there are a growing number of studies assessing the "temporal variability" in movements by applying non-linear analysis techniques. One limitation of the studies available to date is that they quantify variability features in specific, pre-selected biomechanical or physiological variables. In many cases it remains unclear if and to what degree these pre-selected variables quantify characteristics of the whole body movement. This technical note proposes to combine two analysis techniques that have already been applied for gait analysis in order to quantify variability features in walking with variables whose significance for the whole movements are known. Gait patterns were recorded using a full-body marker set on the subjects whose movements were captured with a standard motion tracing system. For each time frame the coordinates of all markers were interpreted as a high-dimensional "posture vector". A principal component analysis (PCA) conducted on these posture vectors identified the main one-dimensional movement components of walking. Temporal variability of gait was then quantified by calculating the maximum Lyapunov Exponent (LyE) of these main movement components. The effectiveness of this approach was demonstrated by determining differences in temporal variability between walking in unstable shoes and walking in a normal athletic-type control shoe. Several additional conceptual and practical advantages of this combination of analysis methods were discussed.

[1]  Karen L Troy,et al.  Effects of an attention demanding task on dynamic stability during treadmill walking , 2008, Journal of NeuroEngineering and Rehabilitation.

[2]  U. Lindenberger,et al.  Interacting effects of cognitive load and adult age on the regularity of whole-body motion during treadmill walking. , 2009, Psychology and aging.

[3]  Nicholas Stergiou,et al.  Movement Variability and the Use of Nonlinear Tools: Principles to Guide Physical Therapist Practice , 2009, Physical Therapy.

[4]  N. Stergiou,et al.  ACL deficiency affects stride-to-stride variability as measured using nonlinear methodology , 2007, Knee Surgery, Sports Traumatology, Arthroscopy.

[5]  Douglas L. Rosene,et al.  Age-related effects on cortical thickness patterns of the Rhesus monkey brain , 2012, Neurobiology of Aging.

[6]  N. Stergiou,et al.  A Novel Approach to Measure Variability in the Anterior Cruciate Ligament Deficient Knee During Walking: The Use of the Approximate Entropy in Orthopaedics , 2006, Journal of Clinical Monitoring and Computing.

[7]  Thurmon E Lockhart,et al.  Dynamic stability differences in fall-prone and healthy adults. , 2008, Journal of electromyography and kinesiology : official journal of the International Society of Electrophysiological Kinesiology.

[8]  J. Dingwell,et al.  Separating the effects of age and walking speed on gait variability. , 2008, Gait & posture.

[9]  H. Kantz A robust method to estimate the maximal Lyapunov exponent of a time series , 1994 .

[10]  Jeffrey M. Hausdorff,et al.  Gait variability and basal ganglia disorders: Stride‐to‐stride variations of gait cycle timing in parkinson's disease and Huntington's disease , 1998, Movement disorders : official journal of the Movement Disorder Society.

[11]  D. Sternad,et al.  Local dynamic stability versus kinematic variability of continuous overground and treadmill walking. , 2001, Journal of biomechanical engineering.

[12]  C. Peng,et al.  What is physiologic complexity and how does it change with aging and disease? , 2002, Neurobiology of Aging.

[13]  Kate E Webster,et al.  Gait Variability in Community Dwelling Adults With Alzheimer Disease , 2006, Alzheimer disease and associated disorders.

[14]  Sara A Myers,et al.  Gait variability patterns are altered in healthy young individuals during the acute reperfusion phase of ischemia-reperfusion. , 2010, The Journal of surgical research.

[15]  Jesse Spencer-Smith,et al.  Differences in gait complexity and variability between children with and without developmental coordination disorder. , 2009, Gait & posture.

[16]  I. Romero PCA-based noise reduction in ambulatory ECGs , 2010, 2010 Computing in Cardiology.

[17]  Holger Kantz,et al.  Practical implementation of nonlinear time series methods: The TISEAN package. , 1998, Chaos.

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

[19]  C. Cooper,et al.  Ageing and gait variability — a population-based study of older people , 2010 .

[20]  Subashan Perera,et al.  Gait variability and the risk of incident mobility disability in community-dwelling older adults. , 2007, The journals of gerontology. Series A, Biological sciences and medical sciences.

[21]  Seonghun Park,et al.  Variability analysis of lower extremity joint kinematics during walking in healthy young adults. , 2009, Medical engineering & physics.

[22]  Nicholas Stergiou,et al.  A Nonlinear Dynamic Approach for Evaluating Postural Control , 2005, Sports medicine.

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

[24]  P. Beek,et al.  Is slow walking more stable? , 2009, Journal of biomechanics.

[25]  Joseph Hamill,et al.  Variability of Stride Characteristics and Joint Coordination among Individuals with Unilateral Patellofemoral Pain , 2002 .

[26]  Ioannis Andreadis,et al.  On the influence of noise on the largest Lyapunov exponent and on the geometric structure of attractors , 1998 .

[27]  Ulman Lindenberger,et al.  Normal aging reduces motor synergies in manual pointing , 2012, Neurobiology of Aging.

[28]  E. Tolosa,et al.  Comparative analysis of gait in Parkinson's disease, cerebellar ataxia and subcortical arteriosclerotic encephalopathy. , 1999, Brain : a journal of neurology.

[29]  Jonathan B Dingwell,et al.  Differences between local and orbital dynamic stability during human walking. , 2007, Journal of biomechanical engineering.

[30]  J. Foley The co-ordination and regulation of movements , 1968 .

[31]  Sara J Gilliland,et al.  Nonlinear time series analysis of knee and ankle kinematics during side by side treadmill walking. , 2009, Chaos.

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

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

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

[35]  Michael S Orendurff,et al.  Local dynamic stability in turning and straight-line gait. , 2008, Journal of biomechanics.

[36]  K. Newell,et al.  Stability and the time-dependent structure of gait variability in walking and running. , 2009, Human movement science.

[37]  Philippe Terrier,et al.  Kinematic variability, fractal dynamics and local dynamic stability of treadmill walking , 2011, Journal of NeuroEngineering and Rehabilitation.

[38]  Andreas Daffertshofer,et al.  PCA in studying coordination and variability: a tutorial. , 2004, Clinical biomechanics.

[39]  N. Troje Decomposing biological motion: a framework for analysis and synthesis of human gait patterns. , 2002, Journal of vision.

[40]  Scott A. England,et al.  The influence of gait speed on local dynamic stability of walking. , 2007, Gait & posture.

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

[42]  M Illert,et al.  Comparative analysis of the gait disorder of normal pressure hydrocephalus and Parkinson's disease , 2001, Journal of neurology, neurosurgery, and psychiatry.

[43]  Kwon Son,et al.  Quantitative analysis of nonlinear joint motions for young males during walking , 2008 .

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

[45]  R. Emmerik,et al.  A dynamical systems approach to lower extremity running injuries. , 1999, Clinical biomechanics.