Center for Biomedical Engineering and School of Engineering, Brown University, Providence, Rhode Island, 02912.
Department of Orthopedics, The Warren Alpert Medical School of Brown University and Rhode Island Hospital, Providence, Rhode Island, 02903.
J Orthop Res. 2019 Dec;37(12):2661-2670. doi: 10.1002/jor.24435. Epub 2019 Aug 22.
The wrist can be considered a 2 degrees-of-freedom joint with all movements reflecting the combination of flexion-extension and radial-ulnar deviation. Wrist motions are accomplished by the kinematic reduction of the 42 degrees-of-freedom of the individual carpal bones. While previous studies have demonstrated the minimal motion of the scaphoid and lunate as the wrist moves along the dart-thrower's path or small relative motion between hamate-capitate-trapezoid, an understanding of the kinematics of the complete carpus across all wrist motions remains lacking. To address this, we assembled an open-source database of in vivo carpal motions and developed mathematical models of the carpal kinematics as a function of wrist motion. Quadratic surfaces were trained for each of the 42-carpal bone degrees-of-freedom and the goodness of fits were evaluated. Using the models, paths of wrist motion that generated minimal carpal rotations or translations were determined. Model predictions were best for flexion-extension, radial-ulnar deviation, and volar-dorsal translations for all carpal bones with R > 0.8, while the estimates were least effective for supination-pronation with R < 0.6. The wrist path of motion's analysis indicated that the distal row of carpal bones moves rigidly together (<3° motion), along the anatomical axis of wrist motion, while the bones in the proximal row undergo minimal motion when the wrist moves in a path oblique to the main axes. The open-source dataset along with its graphical user interface and mathematical models should facilitate clinical visualization and enable new studies of carpal kinematics and function. © 2019 Orthopaedic Research Society. Published by Wiley Periodicals, Inc. J Orthop Res 37:2661-2670, 2019.
腕关节可以被认为是一个具有两个自由度的关节,所有运动都反映了屈伸和桡尺偏斜的组合。腕关节运动是通过个体腕骨的 42 个自由度的运动学简化来完成的。虽然之前的研究已经证明了在投掷者的路径中,手舟骨和月骨的最小运动或钩骨-头状骨-大多角骨之间的小相对运动,但对手腕运动中整个腕骨的运动学的理解仍然缺乏。为了解决这个问题,我们组装了一个腕骨运动的开源数据库,并开发了腕骨运动学的数学模型,作为腕关节运动的函数。为每个 42 个腕骨自由度训练二次曲面,并评估拟合优度。使用这些模型,确定了产生最小腕骨旋转或平移的腕关节运动路径。对于所有腕骨,模型预测对于屈伸、桡尺偏斜和掌背平移的拟合最好,R 值大于 0.8,而对于旋前-旋后,估计值最差,R 值小于 0.6。腕关节运动路径的分析表明,当腕关节沿腕关节运动的解剖轴运动时,远端腕骨排一起刚性地移动(<3°运动),而当腕关节沿与主要轴成一定角度的路径运动时,近端腕骨的运动最小。开源数据集及其图形用户界面和数学模型应有助于临床可视化,并能够对手腕运动学和功能进行新的研究。2019 年骨科研究协会。威利期刊公司出版,J Orthop Res 37:2661-2670, 2019。