Journal of Biomechanics
Volume 39, Issue 8 , Pages 1371-1382 , 2006

Elastic properties of an intact and ACL-ruptured knee joint: Measurement, mathematical modelling, and haptic rendering

  • Martin Frey

      Affiliations

    • Automatic Control Laboratory, Swiss Federal Institute of Technology (ETH) Zurich, Physikstrasse 3, CH-8092 Zurich, Switzerland
    • Institute of Automatic Control Engineering, Technische Universität München, Arcisstraße 21, D-80333 Munich, Germany
    • Corresponding Author InformationCorresponding author. Automatic Control Laboratory, Swiss Federal Institute of Technology (ETH) Zurich, Physikstrasse 3, CH-8092 Zurich, Switzerland. Tel.: +4113863738; fax: +4113863731.
  • ,
  • Robert Riener

      Affiliations

    • Automatic Control Laboratory, Swiss Federal Institute of Technology (ETH) Zurich, Physikstrasse 3, CH-8092 Zurich, Switzerland
    • Spinal Cord Injury Center, University Hospital Balgrist, Forchstrasse 340, CH-8008 Zurich, Switzerland
  • ,
  • Christian Michas

      Affiliations

    • Institute of Automatic Control Engineering, Technische Universität München, Arcisstraße 21, D-80333 Munich, Germany
  • ,
  • Felix Regenfelder

      Affiliations

    • Clinic for Orthopedics and Sport Orthopedics, Technische Universität München, Ismaninger Straße 22, D-81675 Munich, Germany
  • ,
  • Rainer Burgkart

      Affiliations

    • Clinic for Orthopedics and Sport Orthopedics, Technische Universität München, Ismaninger Straße 22, D-81675 Munich, Germany

,Accepted 18 April 2005.

References 

  1. Bronstein IN, Semendjajew KA. Handbook of Mathematics. Berlin: Springer; 2004;
  2. Bull AMJ, Amis AA. The pivot shift phenomenon: a clinical and biomechanical perspective. The Knee. 1998;5:141–158
  3. Feikes JD, O’Conner JJ, Zavatsky AB. A constraint-based approach to modelling the mobility of the human knee joint. Journal of Biomechanics. 2000;36:125–129
  4. Frey, M., Pröll, T., Riener, R., Burgkart, R., 2003a. Making biomechanics sensible. International Workshop on Computersimulation in Biomechanics (ISBSC), 2–5 July 2003, Sydney, Australia, pp. 24.
  5. Frey, M., Riener, R., Burgkart, R., 2003b. Varus–valgus stiffness model of the knee identified by a robot based approach. International Society of Biomechanics Conference (ISB), 6–11 July 2003, Dunedin, New Zealand, Congress-CD:/longAbstracts/FREY_269-285_SI_LONG.pdf.
  6. Frey M, Burgkart R, Regenfelder F, Riener R. An optimised robot based setup for exploring the elastic properties of anatomical joint structures. Medical and Biological Engineering and Computing. 2004;42(5):674–678
  7. Fu FH, Harner CD, Vince KG. Knee Surgery. Baltimore, MA: Williams and Wilkins; 1994;
  8. Haut Donahue TL, Hull ML, Rashid MM, Jacobs CR. A finite element model of the human knee joint for the study of tibio–femoral contact. Journal of Biomechanical Engineering. 2002;124:273–280
  9. Hoogen, J., Ponikvar, M., Schmidt, G., 2002. A robotic haptic interface for kinaesthetic knee joint simulation. Proceedings of the 11th International Workshop on Robotics in Alpe–Adria–Danube Region, Balatonfuret, Hungary.
  10. Loch DA, Luo Z, Lewis JL, Steward NJ. A theoretical model of the knee and acl: theory and experimental verification. Journal of Biomechanics. 1992;25:81–90
  11. Markolf KL, Mensch JS, Amstutz HC. Stiffness and laxity of the knee—the contributions of the supporting structures. A quantitative in vitro study. The Journal of Bone and Joint Surgery. 1976;58(A):583–594
  12. Nelles O. Nonlinear Systems Identification. vol. 5. Berlin, Heidelberg: Auflage, Springer; 2001;
  13. Noyes FR, Cummings JF, Grood ES, Walz-Hasselfeld KA, Wroble RR. The diagnosis of knee motion limits, subluxations, and ligament injury. American Journal of Sports Medicine. 1991;19(2):163–171
  14. Peters, J., Riener, R., 2000. A real-time model of the human knee for a virtual orthopaedic trainer. Proceedings of the International Conference on Biomedical Engineering, Singapore, 6–9 December, pp. 110–111.
  15. Riener R, Edrich T. Identification of passive elastic joint moments in the lower extremities. Journal of Biomechanics. 1999;32:539–544
  16. Riener R, Frey M, Pröll T, Regenfelder F, Burgkart R. Phantom-based multimodal interactions for medical education and training: The Munich Knee Joint Simulator. IEEE Transactions on Information Technology in Biomedicine. 2004;8(2):208–216
  17. Ritchie JR, Miller MD, Harner CD. In:  Fu FH,  Harner CD,  Vince KG editor. Knee Surgery. Baltimore, MA: Williams and Wilkins; 1994;
  18. Rudy TW, Livesay GA, Woo L-Y, Fu FH. A combined robotic/universal force sensor approach to determine in situ forces of the knee ligaments. Journal of Biomechanics. 1996;29:1357–1360
  19. Scholten RJ, Opstelten W, van der Plas CG, Bijl D, Deville WL, Bouter LM. Accuracy of physical diagnostic tests for assessing ruptures of the anterior cruciate ligament: a meta-analysis. The Journal of Family Practice. 2003;52(9):689–694
  20. Slocum DB, Larson RL. Rotatory instability of the knee. Journal of Joint and Bone Surgery. 1968;50(A):211
  21. Torg JS, Conrad W, Kalen V. Clinical diagnosis of anterior crucial ligament instability in the athlete. The American Journal of Sports Medicine. 1976;4(2):84–93
  22. Wang C-J, Walker PS. Rotatory laxity of the human knee joint. The Journal of Joint and Bone Surgery. 1974;65(A):161–170
  23. Wilson DR, Feikes JD, O’Conner JJ. Ligaments and articular contact guide passive knee flexion. Journal of Biomechanics. 1998;31:1127–1136
  24. Zheng N, Fleisig GS, Escamilla RF, Barrentine SW. An analytical model of the knee for estimation of internal forces during exercise. Journal of Biomechanics. 1998;31:963–967

PII: S0021-9290(05)00193-4

doi: 10.1016/j.jbiomech.2005.04.021

Journal of Biomechanics
Volume 39, Issue 8 , Pages 1371-1382 , 2006