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The description of the human knee as four-bar linkage

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Purpose: We investigate the dependence of the kinematics of the human knee on its anatomy. The idea of describing the kinematics of the knee in the sagittal plane using four-bar linkage is almost as old as kinematics as an independent discipline. We start with a comparison of known four-bar linkage constructions. We then focus on the model by H. Nägerl which is applicable under form closure. Methods: We use geometry and analysis as the mathematical methods. The relevant geometrical parameters of the knee will be determined on the basis of the dimensions of the four-bar linkage. This leads to a system of nonlinear equations. Results: The four-bar linkage will be calculated from the limits of the constructively accessible parameters by means of a quadratic approximation. Conclusions: By adapting these requirements to the dimensions of the human knee, it will be possible to obtain valuable indications for the design of an endoprosthesis which imitates the kinematics of the natural knee.
Rocznik
Strony
107--115
Opis fizyczny
Bibliogr. 30 poz., rys., tab.
Twórcy
autor
  • Georg-August-University, Goettingen
autor
  • Göttingen Medical Center
autor
  • Lima Corporate, Udine Italy
  • Joint Biomechanical Research Group, Department of Orthodontics, Georg-August-University, Göttingen, Germany
autor
  • Joint Biomechanical Research Group, Department of Orthodontics, Georg-August-University, Göttingen, Germany
Bibliografia
  • [1] Bare, J. V., Gill, H. S., Beard, D. J., and Murray, D. W., 2006, "A convex lateral tibial plateau for knee replacement," The Knee, 13(2), pp. 122-126.
  • [2] Benjes, M., 1998, "Ein zweiparametriges Kniemodell," Technische Universität Darmstadt, Darmstadt.
  • [3] Benjes, M., Hauger, W., Schreiber, S., and Thoma, W., 2006, "Zur räumlichen Kinematik des Knies," ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 76, pp. 41-42.
  • [4] Braune, W., Fischer, O., and Maquet, P., 1985, The human gait (Der Gang des Menschen), Springer, Berlin u.a.
  • [5] Fanghänel, J., and Schultz, F., 1962, " Mitteilung über eine Konservierungsflüssigkeit für anatomisches Präpariermaterial," Z Med. Labortech, 3, pp. 329-332.
  • [6] Fiedler, C., Gezzi, R., Frosch, K. H., Wachowski, M. M., Kubein-Meesenburg, D., Dörner, J., Fanghänel, J., and Nägerl, H., 2011, "Mathematical study on the guidance of the tibiofemoral joint as theoretical background for total knee replacements," Acta Bioeng Biomech, 13, pp. 38- 49.
  • [7] Fischer, O., 1907, Kinematik organischer Gelenke, Vieweg-Verlag, Braunschweig.
  • [8] Freudenstein, F., and Woo, L. S., 1969, "Kinematics of the human knee joint," Bull Math Biophys, 31(2), pp. 215-232.
  • [9] Frosch, K. H., Floerkemeier, T., Abicht, C., Adam, P., Dathe, H., Fanghänel, J., Stürmer, K. M., Kubein-Meesenburg, D., and Nägerl, H., 2009, "Eine neuartige Kniegelenksendoprothese mit physiologischer Gelenkform [A novel knee endoprosthesis with a physiological joint shape : Part 1: Biomechanical basics and tribological studies.]," Unfallchirurg, 112, pp. 168-175.
  • [10] Frosch, K. H., Nägerl, H., D, K.-M., Buchholz, J., Dörner, J., Dathe, H., Hellerer, O., Dumont, C., and K.M, S., 2009, "Eine neuartige Kniegelenksendoprothese mit physiologischer Gelenkform [A new total knee arthroplasty with physiologic ally shaped surfaces : Part 2: First clinical results.]," Unfallchirurg, 112, pp. 176-184.
  • [11] Gowers, L., 1996, "Untersuchung zur Biomechanik des Tibiofemoralgelenkes beim Schwein," Göttingen, Univ.
  • [12] Hiss, E., and Schwerbrock, B., 1980, "Untersuchungen zur räumlichen Form der Femurkondylen," Z. Orthop, 118, pp. 396-404.
  • [13] Hoschek, J., and Weber, U., 1987, "Geometrische Modellbildung der menschlichen Kniebewegung," Proceedings of the Congress of GeometryThessaloniki, pp. 67–75.
  • [14] Hunze, J. M., 1996, "Biomechanische Untersuchungen des Tibiofemoralgelenkes des Rindes im Vergleich zu dem des Menschen," Göttingen, Univ.
  • [15] Huson, A., 1973, "The functional anatomy of the knee joint: the closed kinematic chain as a model of the knee joint," The Knee Joint. Recent Advances in Basic Research and Clinical Aspects. Proc. Int. Congr., 324, pp. 183-186.
  • [16] Jank, W., 1974, "Das menschliche Knie als Gelenkviereck," Anz. Österr. Akad. Wiss., 10, pp. 157-162.
  • [17] Johansson, H., Sjolander, P., and Sojka, P., 1991, "Receptors in the knee joint ligaments and their role in the biomechanics of the joint," Critical reviews in biomedical engineering, 18(5), pp. 341-368.
  • [18] Kapandji, I. A., and Honoré, L. H., 1970, The physiology of the joints : Annotated diagrams of the mechanics of the human joints, Churchill Livingstone, Edinburgh u.a.
  • [19] Menschik, A., 1974, "Mechanik des Kniegelenkes, 1. Teil," Z. Orthop., 112, pp. 481-481.
  • [20] Menschik, A., 1987, Biometrie, Springer, Berlin, Heidelberg, New York, London, Paris, Tokyo.
  • [21] Muller, M., 1996, "A Novel Classification of Planar Four-Bar Linkages and its Application to the Mechanical Analysis of Animal Systems," Phil. Trans. R. Soc. Lond. B, 29 vol. 351 no. 1340, pp. 689-720.
  • [22] Nägerl, H., Dathe, H., Fiedler, C., Gowers, L., Kirsch, S., Kubein-Meesenburg, D., Dumont, C., and Wachowski, M., 2015, "The morphology of the articular surfaces of biological knee joints provides essential guidance for the construction of functional knee endoprostheses.," Acta Bioeng Biomech, 17(2), pp. 45-53.
  • [23] Nägerl, H., J, W., Kh, F., Dumont, C., Kubein-Meesenburg, D., Fanghänel, J., and Wachowski, M., 2009, "Knee Motion Analysis of the Non-Loaded and Loaded Knee: A Re-Look at Rolling and Sliding," J Physiol Pharmacol (Internet-Ausgabe), 60, pp. 69-72.
  • [24] Nägerl, H., Kubein-Meesenburg, D., Cotta, H., and Fanghänel, J., 1993, "Biomechanical principles of diarthroses and synarthroses. III: Mechanical aspects of the tibiofemoral joint and role of the cruciate ligaments," Z Orthop Ihre Grenzgeb., 131, pp. 385-396.
  • [25] Nigg, B. M., and Herzog, W., 1994, Biomechanics of the musculo-sceletal system, John Wiley & Sons, West Sussex.
  • [26] Reuleaux, F., 1875, Lehrbuch der Kinematik 1, Vieweg, Braunschweig.
  • [27] Reuleaux, F., 1900, Lehrbuch der Kinematik 2, Vieweg, Braunschweig.
  • [28] Straßer, H., 1917, Lehrbuch der Muskel- und Gelenkmechanik, Springer Verlag, Berlin.
  • [29] Streli, R., and Menschik, A., 1981, "Frühresultate des Menschik-Knies [Early results with the Menschik-knee]," Aktuelle Probl Chir Orthop, 15, pp. 75-76.
  • [30] Zuppinger, H., 1904, "Die aktive Flexion im unbelasteten Kniegelenk," Anatomy and Embryology, 25, pp. 701-764.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-612a0f5d-f007-4f38-885e-89f7f7ff2649
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