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Long-range correlations in stride intervals may emerge from non-chaotic walking dynamics
1Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts, United States of America.
Plos One
|October 3, 2013
Summary
Long-range correlations in human walking, previously linked to chaos, can be reproduced by a simple model. This finding suggests noise and moderate stability, not chaotic dynamics, explain these healthy walking patterns.
Area of Science:
- Biomechanics
- Dynamical Systems Theory
- Neuroscience
Background:
- Human walking stride intervals display long-range temporal correlations, similar to fractal patterns in brain and heart activity.
- These correlations are often attributed to chaotic dynamics, suggesting a signature of health.
- Existing models often incorporate central pattern generators (CPGs) or nonlinear biomechanics to simulate chaos and replicate these correlations.
Purpose of the Study:
- To investigate whether long-range correlations in walking can be reproduced by a model lacking chaotic dynamics.
- To challenge the prevailing hypothesis that chaotic dynamics are essential for explaining healthy walking's long-range correlations.
Main Methods:
- Development of a simplified walking model that does not rely on central pattern generators (CPGs) or inherently chaotic biomechanics.
- Analysis of stride intervals generated by the model under varying degrees of orbital stability.
- Examination of the influence of noise and orbital stability on the emergence of long-range correlations.
Main Results:
- The simplified model successfully reproduced long-range temporal correlations in stride intervals, mirroring those observed in human walking.
- These correlations emerged when the model exhibited moderate orbital stability, allowing for persistent influence of past strides on future ones.
- The findings demonstrate that chaotic dynamics are not a prerequisite for generating these observed correlations.
Conclusions:
- Long-range correlations in healthy human walking may arise from the interplay of ubiquitous biological noise and essential orbital stability, rather than solely from chaotic dynamics.
- This study provides a counterexample to the established hypothesis linking CPGs and chaos to walking's temporal correlations.
- The results highlight the potential role of noise and stability in generating complex rhythmic behaviors in biological systems.
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