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

• Autorzy: Dathe H. , Dumont C. , Perplies R. , Fanghänel J. , Kubein-Meesenburg D. , Nagerl H. , Wachowski M. M.

Identyfikatory

DOI

10.5277/ABB-00386-2015-02

• 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.

Słowa kluczowe

EN

thumb; saddle surfaces; curvature morphology; quantitative description; thumb kinematics

PL

kciuk; kinematyka; opis ilościowy

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Acta of Bioengineering and Biomechanics
• Rocznik: 2016
• Tom: Vol. 18, no. 2
• Strony: 103--110
• Opis fizyczny: Bibliogr. 30 poz., rys., tab., wykr.

Twórcy

autor

Dathe H.

• Biomechanical Working Group, Department of Orthodontics, University of Göttingen, Germany

autor

Dumont C.

• Department of Trauma and Orthopaedic Surgery, Klinikum Kassel, Germany

autor

Perplies R.

• Biomechanical Working Group, Department of Orthodontics, University of Göttingen, Germany

autor

Fanghänel J.

• Polyclinic of Orthodontics, University of Regensburg, Germany

autor

Kubein-Meesenburg D.

• Biomechanical Working Group, Department of Orthodontics, University of Göttingen, Germany

autor

Nagerl H.

• Biomechanical Working Group, Department of Orthodontics, University of Göttingen, Germany

autor

Wachowski M. M.

• 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.
• [4] BAUSENHARDT D., Über das Carpometacarpalgelenk des Daumens, Z. Anat. Entwickl.-Gesch., 1949, Vol. 114, 251.
• [5] COONEY W.P. 3RD, CHAO E.Y., Biomechanical analysis of static forces in the thumb during hand function, J. Bone Joint Surg. Am., 1977, Vol. 59(1), 27–36.
• [6] DATHE H., Die Form von Gelenkflächen – Morphometrie mit einfachen Mitteln, Universitätsverlag Göttingen, Göttingen, 2012.
• [7] DU BOIS-REYMOND R., Über das Sattelgelenk, Arch. Anat. Physiol., 1985, 433–462.
• [8] DUMONT C., ALBUS G., KUBEIN-MEESENBURG D., FANGHANEL J., STURMER K.M., NAGERL H., Morphology of the interphalangeal joint surface and its functional relevance, J. Hand Surg. Am., 2008, Vol. 33(1), 9–18.
• [9] DUMONT C., BURFEIND H., KUBEIN-MEESENBURG D., HOSTEN N., FANGHANEL J., GREDES T., NAGERL H., Physiological functions of the human finger, J. Physiol. Pharmacol., 2008, Vol. 59, Suppl 5, 69–74.
• [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.
• [11] DUMONT C., ZIEHN C., KUBEIN-MEESENBURG D., FANGHANEL J., STURMER K.M., NAGERL H., Quantified contours of curvature in female index, middle, ring, and small metacarpophalangeal joints, J. Hand Surg. Am., 2009, Vol. 34(2), 317–325.
• [12] EATON R.G., GLICKEL S.Z., Trapeziometacarpal osteoarthritis. Staging as a rationale for treatment, Hand Clin., 1987, Vol. 3(4), 455–471.
• [13] EATON R.G., LITTLER J.W., Ligament reconstruction for the painful thumb carpometacarpal joint, J. Bone Joint Surg. Am., 1973, Vol. 55(8), 1655–1666.
• [14] FANGHÄNEL J., SCHULTZ F., Mitteilung über eine Konservierungsflüssigkeit für anatomisches Präpariermaterial, Zeitschrift für Medizinische Labortechnik, 1962, Vol. 3, 329–332.
• [15] FICK A., Die Gelenke mit sattelförmigen Flächen, Z. rat. Med. (N.F.), 1854, Vol. 4, 314–321.
• [16] FICK R., Handbuch der Anatomie und Mechanik der Gelenke. Zweiter Teil: Allgemeine Gelenk- und Muskelmechanik, Verlag von Gustav Fischer, Jena, 1910.
• [17] FISCHER O., Über Gelenke mit zwei Graden der Freiheit, Arch. Anat. Physio. (Anat. Abt) 1897, Suppl., 242–272.
• [18] HOLLISTER A., GIURINTANO D.J., BUFORD W.L., MYERS L.M., NOVICK A., The axes of rotation of the thumb interphalangeal and metacarpophalangeal joints, Clin. Orthop. Relat. Res., 1995, Vol. 320, 188–193.
• [19] KAPANDJI I.A., Funktionelle Anatomie der Gelenke. Bd. 1: Obere Extremität, Ferdinand Enke Verlag Stuttgart, 1984, 218.
• [20] KÖBKE J., Funktionelle Anatomie des Daumensattelgelenks, Daumensattelgelenksarthrose, D. Buck-Gramcko, B. Helbig (eds.), Hippokrates, Stuttgart, 1994, 13–19.
• [21] KÖBKE J., THOMAS W., Biomechanical investigations on the aetiology of arthrosis of the first carpometacarpal joint (author’s transl.). Z Orthop. Ihre Grenzgeb., 1979, Vol. 117(6), 988–994.
• [22] KUCZYNSKI K., Carpometacarpal joint of the human thumb, J. Anat., 1974, Vol. 118(Pt 1), 119–126.
• [23] LANDAU L.D., LIFSCHITZ E.M., Elastizitätslehre, AkademieVerlag, Berlin, 1966.
• [24] LITTLER J.W., The architectural and functional principles of the anatomy of the hand, Rev. Chir. Orthop. Reparatrice Appar. Mot., 1960, Vol. 46, 131–138.
• [25] MARZKE M.W., TOCHERI M.W., MARZKE R.F., FEMIANI J.D., Three-dimensional quantitative comparative analysis of trapezial-metacarpal joint surface curvatures in human populations, J. Hand Surg. Am., 2012, Vol. 37(1), 72–76.
• [26] NÄGERL H., KUBEIN-MEESENBURG D., SCHWESTKA-POLLY R., THIEME K.M., FANGHANEL J., MIEHE B., Functional condition of the mandible: physical structures of free mandibular movement, Ann. Anat., 1999, Vol. 181(1), 41–44.
• [27] NAPIER J.R., The form and function of the carpo-metacarpal joint of the thumb, J. Anat., 1955, Vol. 89(3), 362–369.
• [28] PELLEGRINI V.D. Jr., Osteoarthritis of the trapeziometacarpal joint: the pathophysiology of articular cartilage degeneration. I. Anatomy and pathology of the aging joint, J. Hand Surg. Am., 1991, Vol. 16(6), 967–974.
• [29] RAUBER A., KOPSCH F., BAND I, Bewegungsapparat. Anatomie des Menschen, B. Tillmann, G. Töndury, K. Zilles (eds.), Thieme, Berlin 2003.
• [30] SCHMIDT H.M., GEISSLER B., Joint surfaces of the carpometacarpal articulation of the thumb in man, Gegenbaurs Morphol. Jahrb., 1983, Vol. 129(5), 505–531.

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.