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Tytuł artykułu

The thumb carpometacarpal joint: curvature morphology of the articulating surfaces, mathematical description and mechanical functioning

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Purpose: The purpose is to present a mathematical model of the function of the thumb carpometacarpal joint (TCMCJ) based on measurements of human joints. In the TCMCJ both articulating surfaces are saddle-shaped. The aim was to geometrically survey the shapes of the articulating surfaces using precise replicas of 28 TCMCJs. Methods: None of these 56 articulating surfaces did mathematically extend the differential geometrical neighbourhood around the main saddle point so that each surface could be characterised by three main parameters: the two extreme radii of curvature in the main saddle point and the angle between the saddles’ asymptotics (straight lines). Results: The articulating surfaces, when contacting at the respective main saddle points, are incongruent. Hence, the TCMCJ has functionally five kinematical degrees of freedom (DOF); two DOF belong to flexion/extension, two to ab-/adduction. These four DOF are controlled by the muscular apparatus. The fifth DOF, axial rotation, cannot be adjusted but stabilized by the muscular apparatus so that physiologically under compressive load axial rotation does not exceed an angle of approximately ±3°. Conclusions: The TCMCJ can be stimulated by the muscular apparatus to circumduct. The mechanisms are traced back to the curvature incongruity of the saddle surfaces. Hence we mathematically proved that none of the individual saddle surfaces can be described by a quadratic saddle surface as is often assumed in literature. We derived an algebraic formula with which the articulating surfaces in the TCMCJ can be quantitatively described. This formula can be used to shape the articulating surfaces in physiologically equivalent TCMCJ-prostheses.
Rocznik
Strony
103--110
Opis fizyczny
Bibliogr. 30 poz., rys., tab., wykr.
Twórcy
autor
  • Biomechanical Working Group, Department of Orthodontics, University of Göttingen, Germany
autor
  • Department of Trauma and Orthopaedic Surgery, Klinikum Kassel, Germany
autor
  • Biomechanical Working Group, Department of Orthodontics, University of Göttingen, Germany
  • Polyclinic of Orthodontics, University of Regensburg, Germany
  • Biomechanical Working Group, Department of Orthodontics, University of Göttingen, Germany
autor
  • Biomechanical Working Group, Department of Orthodontics, University of Göttingen, Germany
  • Biomechanical Working Group, Department of Orthodontics, University of Göttingen, Germany
  • Department of Trauma, Orthopaedics and Plastic Surgery, University of Göttingen
Bibliografia
  • [1] ATESHIAN G.A., ARK J.W., ROSENWASSER M.P., PAWLUK R.J., SOSLOWSKY L.J., MOW V.C., Contact areas in the thumb carpometacarpal joint, J. Orthop. Res., 1995, Vol. 13(3), 450–458.
  • [2] ATESHIAN G.A., ROSENWASSER M.P., MOW V.C., Curvature characteristics and congruence of the thumb carpometacarpal joint: differences between female and male joints, J. Biomech., 1992, Vol. 25(6), 591–607.
  • [3] AUNE S., Osteo-arthritis in the first carpo-metacarpal joint; an investigation of 22 cases, Acta Chir. Scand., 1955, Vol. 109(6), 449–456.
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  • [10] DUMONT C., PERPLIES R., DOERNER J., FANGHAENEL J., KUBEIN-MEESENBURG D., WACHOWSKI M.M., NAEGERL H., Mechanisms of circumduction and axial rotation of the carpometacarpal joint of the thumb, J. Physiol. Pharmacol., 2009, Vol. 60, Suppl 8, 65–68.
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Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-3d36e26b-069b-41fb-a728-0527ab70327a
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