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Updated: Mar 7, 2026

Subject-specific Musculoskeletal Model for Studying Bone Strain During Dynamic Motion
Published on: April 11, 2018
An entropy-assisted musculoskeletal shoulder model.
Xu Xu1, Jia-Hua Lin2, Raymond W McGorry3
1Edward P. Fitts Department of Industrial and Systems Engineering, North Carolina State University, Raleigh, NC 27695, USA.
This study introduces an entropy term to musculoskeletal shoulder models, improving predictions of muscle activity and co-contraction. Findings suggest entropy aids understanding muscle co-contraction mechanisms and enhancing shoulder biomechanical models.
Area of Science:
- Biomechanics
- Musculoskeletal modeling
- Human movement analysis
Background:
- Musculoskeletal shoulder models estimate mechanical loading using optimization.
- Traditional models minimize muscle activity but neglect antagonist co-contraction.
- Antagonist co-contraction is crucial for shoulder joint stability and control.
Purpose of the Study:
- To propose a novel objective function incorporating an entropy term to account for muscle co-contractions.
- To develop and validate a musculoskeletal shoulder model using the proposed objective function.
- To investigate the impact of the entropy term's weight on model predictability.
Main Methods:
- Developed a musculoskeletal shoulder model with an entropy-based objective function.
- Conducted experiments with participants generating 3D shoulder moments in various postures.
- Measured surface electromyography (EMG) of 8 shoulder muscles.
- Compared model predictions with experimental EMG data using Bhattacharyya distance and concordance ratio.
Main Results:
- A small weight for the entropy term significantly improved the model's predictability of muscle activities.
- The proposed objective function better captures muscle co-contraction dynamics compared to traditional methods.
- Experimental validation confirmed the enhanced accuracy of the entropy-inclusive model.
Conclusions:
- Incorporating an entropy term into musculoskeletal shoulder models enhances their validity.
- Entropy offers a valuable concept for understanding muscle co-contraction mechanisms.
- This approach advances the development of more accurate shoulder biomechanical models.
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