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Updated: Jul 11, 2026

Measuring 3D In-vivo Shoulder Kinematics using Biplanar Videoradiography
Published on: March 12, 2021
An algorithm to allow humerus translation in the indeterminate problem of shoulder abduction
Alexandre Terrier1, Arne Vogel, Massimiliano Capezzali
1Laboratory of Biomechanical Orthopedics Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland. alexandre.terrier@epfl.ch
This study introduces a new algorithm for shoulder biomechanics, enabling natural humerus translation during abduction. The validated model accurately simulates joint forces and movement, advancing shoulder movement analysis.
Area of Science:
- Biomechanics
- Orthopedic Surgery
- Human Movement Science
Background:
- The shoulder joint's complexity arises from its extensive range of motion and active muscular stabilization.
- Existing biomechanical models often simplify the shoulder as a ball-socket joint, neglecting natural humerus translation.
- This simplification limits the accuracy of indeterminate biomechanical models.
Purpose of the Study:
- To develop and validate a novel algorithm for solving indeterminate shoulder biomechanical models.
- To incorporate feedback control of muscle activation for natural humerus translation.
- To analyze shoulder abduction in the scapular plane, including deltoid and rotator cuff muscles.
Main Methods:
- Developed a new algorithm using feedback control of muscle activation to address model indeterminacy.
- Restricted the model to two dimensions for validation against a known algebraic solution.
- Included three parts of the deltoid and rotator cuff muscles in the analysis of scapular plane abduction.
Main Results:
- The numerical algorithm achieved a relative error below 0.1% when compared to an algebraic solution.
- Calculated joint reaction forces were comparable to those found in other established shoulder models.
- Simulated humerus translation aligned with findings from in vivo and in vitro studies.
Conclusions:
- The developed algorithm accurately simulates shoulder biomechanics, including natural humerus translation.
- This approach offers a more realistic representation of shoulder joint function compared to simplified models.
- The validated algorithm has potential applications in understanding shoulder pathologies and guiding treatment strategies.
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