Abstract
Due to its anatomic structure, the wrist is often considered the most complex joint in the human body. Despite extensive research, it remains controversial how the carpal bones interact to provide our hand with mobility, precision and strength. We applied a method for the design of cam-and-follower mechanisms to in-vivo measured data of carpal bones. The measured input data comprised the surfaces of three carpal bones (scaphoid, lunate and capitate) as well as eight poses of these bones throughout the range of motion of the hand. The resulting points on the envelope surfaces of the first two bones well approximated the surface of the latter one. This method is novel in the investigation of bone interaction since it correlates measured bone motion to bone geometry. It can be applied to adjacent bones in any joint without modification. The results are furthermore promising for the estimation of the contact area between adjoining bones.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
An, K.N., et al.: Biomechanics of the Wrist Joint. Springer, New York (1991)
Andersen, M.S., et al.: Force-dependent kinematics: a new analysis method for non-conforming joints. In: Proceedings 13th Biennial International Symposium on Computer Simulation in Biomechanics (2011)
Berger, R.A., et al.: The three-dimensional rotational behaviors of the carpal bones. Clin. Orthop. Relat. Res. 167, 303–310 (1982)
Blankevoort, L., et al.: Articular contact in a three-dimensional model of the knee. J. Biomech. 24, 1019–1031 (1991)
Bullough, P.G.: The geometry of diarthrodial joints, its physiologic maintenance, and the possible significance of age-related changes in geometry-to-load distribution and the development of osteoarthritis. Clin. Orthop. Relat. Res. 156, 61–66 (1981)
Bullough, P.G., et al.: The relationship between degenerative changes and load-bearing in the human hip. J. Bone Joint Surg. Br. 55, 746–758 (1973)
Chakraborty, J., Dhande, S.G.: Kinematics and Geometry of Planar and Spatial Cam Mechanisms. Wiley, New York (1977)
Coburn, J.C., Crisco, J.J.: Interpolating three-dimensional kinematic data using quaternion splines and hermit curves. J. Biomech. Eng. 127, 311–317 (2005)
Damsgaard, M., et al.: Analysis of musculoskeletal systems in the AnyBody modeling system. Simul. Model. Pract. Theory 14, 1100–1111 (2006)
Feipel, V., Rooze, M.: Three-dimensional motion patterns of the carpal bones: an in-vivo study using three-dimensional computed tomography and clinical applications. Radiol. Anat. 21, 125–131 (1998)
Fischli, S., et al.: Simulation of extension, radial and ulnar deviation of the wrist with a rigid body spring model. J. Biomech. 42, 1363–1366 (2009)
Foumani, M., et al.: In-vivo three-dimensional carpal bone kinematics during flexion-extension and radio-ulnar deviation of the wrist: dynamic motion versus step-wise static wrist positions. J. Biomech. 42, 2664–2671 (2009)
Gardner, M.J., et al.: Carpal kinematics. Hand Clin. 22, 413–420 (2006)
Goetz, A.: Introduction to Differential Geometry. Addison Wesley Publishing, Reading (1970)
Kobayashi, M., et al.: Normal kinematics of carpal bones: a three-dimensional analysis of carpal bone motion relative to the radius. J. Biomech. 30, 787–793 (1997)
Kretschmer, F.: Die Entwicklung der Endoprothetik des Handgelenks. Minerva, Darmstadt (2010)
LifeMOD.: www.lifemodeler.com, (Jan 2012)
Majors, B.J., Wayne, J.S.: Development and validation of a computational model for investigation of wrist biomechanics. Ann. Biomed. Eng. 39, 2807–2815 (2011)
Marai, G.-E.: Data-driven predictive modeling of diarthrodial joints. PhD thesis, Brown University (2007)
Menschik, A.: Biometrie. Springer, Berline (1987)
Moojen, T.M., et al.: In vivo analysis of carpal kinematics and comparative review of the literature. J. Hand Surg. 28A, 81–87 (2003)
Moore, D.C., et al.: A digital database of wrist bone anatomy and carpal kinematics. J. Biomech. 40, 2537–2542 (2007)
Paul, B.P.: Kinematics and Dynamics of Planar Machinery. Prentice-Hall, Englewood Cliffs (1979)
Rothbarth, H.A.: Cam Design Handbook. McGraw-Hill, New York (2004)
Ruby, L.K., et al.: Relative motion of selected carpal bones: a kinematic analysis of the normal wrist. J. Hand Surg. 13A, 1–10 (1988)
Sirkett, D.M., et al.: A kinematic model of the wrist based on maximization of joint contact area. J. Eng. Med. 218, 349–359 (2004)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Allmendinger, F., Eschweiler, J., Radermacher, K., Corves, B. (2013). On Motion and Force Transmission in the Human Wrist: Approximating Carpal Bone Surfaces with Envelopes. In: Viadero, F., Ceccarelli, M. (eds) New Trends in Mechanism and Machine Science. Mechanisms and Machine Science, vol 7. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-4902-3_45
Download citation
DOI: https://doi.org/10.1007/978-94-007-4902-3_45
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-4901-6
Online ISBN: 978-94-007-4902-3
eBook Packages: EngineeringEngineering (R0)