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Advances in Biomechanics & Applications
  Volume 1, Number 3, September 2014 , pages 169-185

Development and validation of a computational multibody model of the elbow joint
Munsur Rahman, Akin Cil, Michael Johnson, Yunkai Lu and Trent M. Guess

    Computational multibody models of the elbow can provide a versatile tool to study joint mechanics, cartilage loading, ligament function and the effects of joint trauma and orthopaedic repair. An efficiently developed computational model can assist surgeons and other investigators in the design and evaluation of treatments for elbow injuries, and contribute to improvements in patient care. The purpose of this study was to develop an anatomically correct elbow joint model and validate the model against experimental data. The elbow model was constrained by multiple bundles of non-linear ligaments, three-dimensional deformable contacts between articulating geometries, and applied external loads. The developed anatomical computational models of the joint can then be incorporated into neuro-musculoskeletal models within a multibody framework. In the approach presented here, volume images of two cadaver elbows were generated by computed tomography (CT) and one elbow by magnetic resonance imaging (MRI) to construct the three-dimensional bone geometries for the model. The ligaments and triceps tendon were represented with non-linear spring-damper elements as a function of stiffness, ligament length and ligament zero-load length. Articular cartilage was represented as uniform thickness solids that allowed prediction of compliant contact forces. As a final step, the subject specific model was validated by comparing predicted kinematics and triceps tendon forces to experimentally obtained data of the identically loaded cadaver elbow. The maximum root mean square (RMS) error between the predicted and measured kinematics during the complete testing cycle was 4.9 mm medial-lateral translational of the radius relative to the humerus (for Specimen 2 in this study) and 5.30 internal-external rotation of the radius relative to the humerus (for Specimen 3 in this study). The maximum RMS error for triceps tendon force was 7.6 N (for Specimen 3).
Key Words
    elbow; biomechanics; multibody; ligament; cartilage
Munsur Rahman, Yunkai Lu and Trent M. Guess: Department of Civil and Mechanical Engineering, University of Missouri-Kansas City, 5110 Rockhill Road, Kansas City, MO 64110, USA
Akin Cil, Michael Johnson and Trent M. Guess: Department of Orthopaedic Surgery, University of Missouri-Kansas City, 2411 Holmes Street, Kansas City, MO 64108, USA
Akin Cil and Michael Johnson: Department of Orthopaedics, Truman Medical Centers, 2301 Holmes Street, Kansas City, MO 64108, USA

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