Tse-Shuen Shih, Innchyn Her, and Kazi Mostafa


  1. [1] M.A.R. Freeman, How the knee moves, Current Orthopaedics, 2001, 15(6), 444–450.
  2. [2] M.A.R. Freeman and V. Pinskerova, The movement of the normal tibio-femoral joint, Journal of Biomechanics, 38(2), 2005, 197–208.
  3. [3] P.F. Williams, G.D. Peura, and A.H. Hoffman, A model of knee motion in the sagittal plane, Bioengineering Conf.: Proc. of the 1991 IEEE Seventeenth Annual Northeast, Hartford, CT, 1991, 4, 273–274.
  4. [4] S. Candrasekaran, J.M. Scarvell, and G. Buirski et al., Magnetic resonance imaging study of alteration of tibiofemoral joint articulation after posterior cruciate ligament injury, The Knee, 19(1), 2011, 60–64.
  5. [5] J.H. Hollman, R.H. Deusinger, and D. Zou et al., Estimation of knee joint surface rolling/gliding kinematics via instant center of rotation measurement, Proc. of the American Society of Biomechanics Annual Meeting, Chicago, American Society of Biomechanics, 2000, 7, 19–22.
  6. [6] J.H. Hollman, R.H. Deusinger, and L.R. Van Dillen et al., Knee joint movements in subjects without knee pathology and subjects with injured anterior cruciate ligaments, Physical Therapy, 82(10), 2002, 960–972.
  7. [7] M. Maleki, A. Babahaji, and A. Mohtat, Further analytical investigation into centrodes of the planar FBL:symbolic representations, double points, tacnodes, degenerate forms, Mechanism and Machine Theory, 44(4), 2009, 739–750.
  8. [8] M. Biscević, D. Tomić, and V. Starc et al., Gender differences in knee kinematics and its possible consequences, Croatian Medical Journal, 46(2), 2005, 253–230.
  9. [9] J. De. Vries, Conventional 4-bar linkage knee mechanisms: a strength-weakness analysis, Journal of Rehabilitation Research and Development, 32(1), 1995, 36–42.
  10. [10] Y. Ishii, K. Terajima, and Y. Koga et al., Comparison of knee joint functional laxity after total knee replacement with posterior cruciate-retaining and cruciate-substituting prostheses, The Knee, 2(4), 1995, 195–199.
  11. [11] M. Karami, M. G´erard, and J.M. Andre, A model of exo-prosthesis of the knee optimized with respect to the physiological motion of condyles, ITBM-RBM, 25(3), 176–184.
  12. [12] S.K. Chittajallu and K.G. Kohrt, FORM2D –a mathematical model of the knee, Mathematical and Computer Modelling, 24(9), 1996, 91–101.
  13. [13] H. Nagerl, K.H. Frosch, and M.M. Wachowski et al., A novel total knee replacement by rolling articulating surfaces, In vivo functional measurements and tests, Acta of Bioengineering and Biomechanics, 10(1), 2008, 55–60.
  14. [14] A. Page, H. de Rosario, and J.A. Gálvez et al., Representation of planar motion of complex joints by means of rolling pairs. Application to neck motion, Journal of Biomechanics, 44(4), 2011, 747–750.
  15. [15] Y.M. Moon, Bio-mimetic design of finger mechanism with contact aided compliant mechanism, Mechanism and Machine Theory, 42(5), 2007, 600–611.
  16. [16] M. Muller, The angles of femoral and tibial axes with respect to the cruciate ligament four-bar system in the knee joint, Journal of Theoretical Biology, 161(2), 1993, 221–230.
  17. [17] M. Muller, The relationship between the rotation possibilities between femur and tibia and the lengths of the cruciate ligaments, Journal of Theoretical Biology, 161(2), 1993, 199–220.
  18. [18] M. Muller and M. De. Ruijter, The derivation of knee joint types from the geometry of the cruciate ligament four-bar system, Journal of Theoretical Biology, 193(3), 1998, 507–518.
  19. [19] F. De Groote, T. De. Laet, and T. De. Wilde et al., Kinematic reconstruction of the lower limb based on measurements of the body surface, Proc. of the 7th National Congress on Theoretical and Applied Mechanics, Mons, Belgium, 2006, 29–30.
  20. [20] A. Hamon and Y. Aoustin, Cross four-bar linkage for the knees of a planar bipedal robot, 10th IEEE-RAS International Conf. on Humanoid Robots, Nashville, TN, 2010, 379–384.
  21. [21] D.A. Hobson and L.E. Torfason, Computer optimization of polycentric prosthetic knee mechanisms, Bulletin of Prosthetics Research, 1975, 187–201.
  22. [22] C.W. Radcliffe, Four-bar linkage prosthetic knee mechanisms: kinematics, alignment and prescription criteria, Prosthetics and Orthotics International, 18(3), 1994, 159–173.
  23. [23] S. Blumentritt, H. W. Scherer, and U. Wellerhaus et al., Design principles, biomechanical data and clinical experience with a polycentric knee offering controlled stance phase knee flexion: a preliminary report, Journal of Prosthetics and Orthotics, 9, 1997, 18–24.
  24. [24] J.K. Chakraborty and K.M. Patil, A new modular six-bar linkage trans-femoral prosthesis for walking and squatting, Prosthetics and Orthotics International, 18(3), 1994, 98–108.
  25. [25] A. Hamon and Y. Aoustin, Cross four-bar linkage for the knees of a planar bipedal robot, 10th IEEE-RAS International Conf. on Humanoid Robots, Nashville, TN, 2010, 379–384.
  26. [26] Y. Geng, X. Xu, and L. Chen et al., Design and analysis of active transfemoral prosthesis, IECON 2010-36th Annual Conf. on IEEE Industrial Electronics Society, Glendale, AZ, 2010, 1495–1499.
  27. [27] S. Gong, P. Yang, and L. Song, Development of an intelligent prosthetic knee control system, International Conf. on Electrical and Control Engineering, Wuhan, 2010, 819–822.
  28. [28] S. Qiao, L. Chen, and X. Wang et al., The design of bionic leg and motion simulation on passive dynamic bipedal robot, International Conf. on Digital Manufacturing and Automation, ChangSha, China, 2010, 656–659.
  29. [29] P.S. Walker, G. Yildirim, and J. Sussman-Fort et al., Relative positions of the contacts on the cartilage surfaces of the knee joint, The Knee, 13(5), 2006, 382–388.
  30. [30] P.N. Smith, K.M. Refshauge, and J.M. Scarvell, Development of the concepts of knee kinematics, Archives of Physical Medicine and Rehabilitation, 84(12), 1895–1902.
  31. [31] Y.P. Lin, C.T. Wang, and K.R. Dai, Reverse engineering in CAD model reconstruction of customized artificial joint, Medical Engineering and Physics, 27(2), 189–193.
  32. [32] H. Küçük, The effect of modeling cartilage on predicted ligament and contact forces at the knee, Computers in Biology and Medicine, 36(4), 2006, 363–375.
  33. [33] K.B. Shelburne, M.G. Pandy, and F.C. Anderson et al., Pattern of anterior cruciate ligament force in normal walking, Journal of Biomechanics, 37(6), 2004, 797–805.
  34. [34] C. Rissech, M. Schaefer, and A. Malgosa, Development of the femur-implications for age and sex determination, Forensic Science International, 180(1), 2008, 1–9.
  35. [35] J. Kosel, I. Giouroudi, and C. Scheffer et al., Anatomical study of the radius and center of curvature of the distal femoral condyle, Journal of Biomechanical Engineering, 132(9), 2010, 091002-6. doi: 10.1115/1.4002061.
  36. [36] M. Mohammad, B. Arash, and M. Arash, Further analytical investigation into centrodes of the planar FBL: Symbolic representations, double points, tacnodes, degenerate forms, Mechanism and Machine Theory, 44(4), 2009, 739–750.
  37. [37] J. Buskiewicz, R. Starosta, and T. Walczak, On the application of the curve curvature in path synthesis, Mechanism and Machine Theory, 44(6), 2008, 1223–1239.
  38. [38] O. Poliakov, O. Chepenyuk, and Y. Pashkov et al., Multicriteria synthesis of a polycentric knee prosthesis for transfemoral amputees, International Journal of Chemical and Biological Engineering, 65, 2012, 273–278.
  39. [39] T. Francisco, S. Marin, and A.P. Gonzalez, Open-path synthesis of linkages through geometrical adaptation, Mechanism and Machine Theory, 39(9), 2004, 943–955.
  40. [40] A. Set¨amaa-K¨arkk¨ainen, K. Miettinen, and J. Vuori, Best compromise solution for a new multiobjective scheduling problem, Computers & Operations Research, 33(8), 2006, 2353–2368.
  41. [41] Y. Xia, S. Wang, and X. Deng, A compromise solution to mutual funds portfolio selection with transaction costs, European Journal of Operational Research, 134(3), 2001, 564–581.
  42. [42] R.T. Marler and J.S. Arora, Survey of multi-objective optimization methods for engineering, Structural and Multidisciplinary Optimization, 26(6), 2004, 369–395.
  43. [43] H.G. van Keeken, A.H. Vrieling, and A.L. Hof et al., Stabilizing moments of force on a prosthetic knee during stance in the first steps after gait initiation, Medical Engineering & Physics, 34(6), 2012, 733–739.
  44. [44] C. Fiedler, R. Gezzi, and K.H. Frosch et al., Mathematical study on the guidance of the tibiofemoral joint as theoretical background for total knee replacements, Acta of Bioengineering and Biomechanics, 13(4), 2011, 38–49.
  45. [45] T. Floerkemeiera, K.H. Froscha, and M. Wachowski et al., Physiologically shaped knee arthroplasty induces natural rollback, Technology and Health Care, 19, 2011, 91–102.

Important Links:

Go Back