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Refining nonlinear parameters for evaluating gait stability in subjects with various musculoskeletal disorders: A
Kristóf Bányi1, Zsófia Pálya1, Mária Takács2
1Budapest University of Technology and Economics, Faculty of Mechanical Engineering, Műegyetem rkp. 3, Budapest, 1111, Hungary.
Gait & Posture
|March 13, 2026
Summary
Optimizing nonlinear gait analysis parameters like approximate entropy (ApEn), sample entropy (SampEn), and Higuchi
Area of Science:
- Biomechanics and Motor Control
- Nonlinear Dynamics
- Musculoskeletal Health Assessment
Background:
- Gait stability is crucial for musculoskeletal health and quality of life.
- Traditional gait measures have limitations.
- Nonlinear metrics like entropy and fractal dimension offer enhanced insights.
Purpose of the Study:
- To determine optimal input variable values for nonlinear gait stability metrics.
- To investigate parameters influencing approximate entropy (ApEn), sample entropy (SampEn), and Higuchi's fractal dimension (HFD).
Main Methods:
- Eighty-one participants (14-84 years) with diverse musculoskeletal conditions performed treadmill walking.
- Ground reaction force data were used to calculate center of pressure (CoP) coordinates.
- Nonlinear analysis parameters were tuned by iterating inputs to find stable regions.
Main Results:
- Optimal ApEn parameters were identified at 20% (anteroposterior) and 15% (mediolateral) of standard deviation (SD).
- Optimal SampEn parameters were found at 20% (anteroposterior) and 10% (mediolateral) of SD.
- Higuchi's fractal dimension (HFD) plateaued after 60 (anteroposterior) and 120 (mediolateral) tuning factor values.
Conclusions:
- Optimizing nonlinear metric parameters is essential for accurate gait stability assessment.
- This study provides specific parameter recommendations for ApEn, SampEn, and HFD.
- Improved gait differentiation through optimized parameters leads to robust clinical indicators.

