Journal of Biomechanics
Volume 43, Issue 16 , Pages 3118-3125 , 1 December 2010

The effect of connective tissue material uncertainties on knee joint mechanics under isolated loading conditions

  • Yasin Y. Dhaher

      Affiliations

    • Northwestern University, Physical Medicine and Rehabilitation Department, 345 East Superior Street, Chicago, IL 60611, USA
    • Rehabilitation Institute of Chicago, Sensory Motor Performance Program, 345 East Superior Street, Chicago, IL 60611, USA
    • Northwestern University, Biomedical Engineering Department, 2145 Sheridan Road, Evanston, IL 60208, USA
    • Corresponding Author InformationCorresponding author at: Rehabilitation Institute of Chicago, Sensory Motor Performance Program, Room 1406, 345 East Superior Street, Chicago, IL 60611, USA. Tel.: +13122381408; fax: +13122382208.
  • ,
  • Tae-Hyun Kwon

      Affiliations

    • Rehabilitation Institute of Chicago, Sensory Motor Performance Program, 345 East Superior Street, Chicago, IL 60611, USA
  • ,
  • Megan Barry

      Affiliations

    • Northwestern University, Biomedical Engineering Department, 2145 Sheridan Road, Evanston, IL 60208, USA

,Accepted 5 August 2010.

References 

  1. Abrahams M. Mechanical behaviour of tendon in vitro. A preliminary report. Med. Biol. Eng. 1967;5:433–443
  2. Batra, R.C., 2006. Elements of continuum mechanics. American Institute of Aeronautics and Astronautics, Reston, VA.
  3. Beck P, Brown NA, Greis PE, Burks RT. Patellofemoral contact pressures and lateral patellar translation after medial patellofemoral ligament reconstruction. Am. J. Sports Med. 2007;35:1557–1563
  4. Beillas P, Begeman PC, Yang KH, King AI, Arnoux P-J, Kang H-S, et al. Lower limb: advanced FE model and new experimental data. Stapp Car Crash J. 2001;45:469–494
  5. Beillas P, Lee SW, Tashman S, Yang KH. Sensitivity of the tibio-femoral response to finite element modeling parameters. Comput. Meth. Biomech. Biomed. Eng. 2007;10:209–221
  6. Beillas P, Papaioannou G, Tashman S, Yang KH. A new method to investigate in vivo knee behavior using a finite element model of the lower limb. J. Biomech. 2004;37:1019–1030
  7. Besier TF, Fredericson M, Gold GE, Beaupre GS, Delp SL. Knee muscle forces during walking and running in patellofemoral pain patients and pain-free controls. J. Biomech. 2009;42:898–905
  8. Blankevoort L, Huiskes R. Validation of a three-dimensional model of the knee. J. Biomech. 1996;29:955–961
  9. Blevins FT, Hecker AT, Bigler GT, Boland AL, Hayes WC. The effects of donor age and strain rate on the biomechanical properties of bone-patellar tendon-bone allografts. Am. J. Sports Med. 1994;22:328–333
  10. Bonifasi-Lista C, Lake SP, Small MS, Weiss JA. Viscoelastic properties of the human medial collateral ligament under longitudinal, transverse and shear loading. J. Orthop. Res. 2005;23:67–76
  11. Bull, A.M.J., 1998. Measurement and computer simulation of knee joint kinematics. Ph.D. Thesis, Imperial College, London.
  12. Butler DL, Grood ES, Noyes FR, Zernicke RF, Brackett K. Effects of structure and strain measurement technique on the material properties of young human tendons and fascia. J. Biomech. 1984;17:579–596
  13. Butler DL, Guan Y, Kay MD, Cummings JF, Feder SM, Levy MS. Location-dependent variations in the material properties of the anterior cruciate ligament. J. Biomech. 1992;25:511–518
  14. Butler DL, Kay MD, Stouffer DC. Comparison of material properties in fascicle-bone units from human patellar tendon and knee ligaments. J. Biomech. 1986;19:425–432
  15. Chandrashekar N, Mansouri H, Slauterbeck J, Hashemi J. Sex-based differences in the tensile properties of the human anterior cruciate ligament. J. Biomech. 2006;39:2943–2950
  16. Ciccone WJ, Bratton DR, Weinstein DM, Walden DL, Elias JJ. Structural properties of lateral collateral ligament reconstruction at the fibular head. Am. J. Sports Med. 2006;34:24–28
  17. Claes, L.E., Beyer, A., Krischke, W.. Schmid, R., 1987. Biomechanical properties of collateral and cruciate ligaments. In: Biomechanics of human knee ligaments, Proceedings of the European Society of biomechanics. University of Ulm, West Germany. pp. 22.
  18. Cochran G. A Primer of Orthopaedic Biomechanics. New York: Churchill-Livingstone; 1982;
  19. Cohen ZA, Henry JH, McCarthy DM, Mow VC, Ateshian GA. Computer simulations of patellofemoral joint surgery. Patient-specific models for tuberosity transfer. Am. J. Sports Med. 2003;31:87–98
  20. Cooper DE, Deng XH, Burstein AL, Warren RF. The strength of the central third patellar tendon graft. A biomechanical study. Am. J. Sports Med. 1993;21:818–824
  21. D'Lima DD, Chen PC, Kester MA, Colwell CW. Impact of patellofemoral design on patellofemoral forces and polyethylene stresses. J. Bone Joint Surg. 2003;85-A(Suppl 4):85–93
  22. Dhaher YY, Kahn LE. The effect of vastus medialis forces on patello-femoral contact: a model-based study. J. Biomech. Eng. 2002;124:758–767
  23. Donahue TL, Hull ML, Rashid MM, Jacobs CR. A finite element model of the human knee joint for the study of tibio-femoral contact. J. Biomech. Eng. 2002;124:273–280
  24. Espregueira M, Vieira da Silva M. Anatomy of the lateral collateral ligament: a cadaver and histological study. Knee Surg. Sports Traumatol. Arthrosc. 2006;14:221–228
  25. Fernandez JW, Hunter PJ. An anatomically based patient-specific finite element model of patella articulation: towards a diagnostic tool. Biomech. Model Mechanobiol. 2005;4:20–38
  26. Flahiff CM, Brooks AT, Hollis JM, Vander Schilden JL, Nicholas RW. Biomechanical analysis of patellar tendon allografts as a function of donor age. Am. J. Sports Med. 1995;23:354–358
  27. Hagena FW, Hofmann GO, Mittlmeier T, Wasmer G, Bergmann M. The cruciate ligaments in knee replacement. Int. Orthop. 1989;13:13–16
  28. Halloran JP, Petrella AJ, Rullkoetter PJ. Explicit finite element modeling of total knee replacement mechanics. J. Biomech. 2005;38:323–331
  29. Haraldsson BT, Aagaard P, Krogsgaard M, Alkjaer T, Kjaer M, Magnusson SP. Region-specific mechanical properties of the human patella tendon. J. Appl. Physiol. 2005;98:1006–1012
  30. Hashemi J, Chandrashekar N, Slauterbeck J. The mechanical properties of the human patellar tendon are correlated to its mass density and are independent of sex. Clin. Biomech. (Bristol, Avon). 2005;20:645–652
  31. Haut Donahue TL, Hull ML, Rashid MM, Jacobs CR. How the stiffness of meniscal attachments and meniscal material properties affect tibio-femoral contact pressure computed using a validated finite element model of the human knee joint. J. Biomech. 2003;36:19–34
  32. Haut Donahue TL, Hull ML, Rashid MM, Jacobs CR. The sensitivity of tibiofemoral contact pressure to the size and shape of the lateral and medial menisci. J. Orthop. Res. 2004;22:807–814
  33. Haut RC, Powlison AC. The effects of test environment and cyclic stretching on the failure properties of human patellar tendons. J. Orthop. Res. 1990;8:532–540
  34. Hsieh YF, Draganich LF, Ho SH, Reider B. The effects of removal and reconstruction of the anterior cruciate ligament on patellofemoral kinematics. Am. J. Sports Med. 1998;26:201–209
  35. Ibrahim RA. Structural dynamics with parameter uncertainties. Applied Mechanics Reviews. 1987;40:309–328
  36. Iman RL, Helton JC. An investigation of uncertainty and sensitivity analysis techniques for computer models risk analysis. 1988;8:71–90
  37. Johnson GA, Tramaglini DM, Levine RE, Ohno K, Choi NY, Woo SL. Tensile and viscoelastic properties of human patellar tendon. J. Orthop. Res. 1994;12:796–803
  38. Jones RS, Nawana NS, Pearcy MJ, Learmonth DJ, Bickerstaff DR, Costi JJ, et al. Mechanical properties of the human anterior cruciate ligament. Clin. Biomech. (Bristol, Avon). 1995;10:339–344
  39. Kondo E, Yasuda K, Yamanaka M, Minami A, Tohyama H. Biomechanical evaluation of a newly devised model for the elongation-type anterior cruciate ligament injury with partial laceration and permanent elongation. Clin. Biomech. (Bristol, Avon). 2003;18:942–949
  40. LaPrade RF, Bollom TS, Wentorf FA, Wills NJ, Meister K. Mechanical properties of the posterolateral structures of the knee. Am. J. Sports Med. 2005;33:1386–1391
  41. Limbert G, Taylor M, Middleton J. Three-dimensional finite element modelling of the human ACL: simulation of passive knee flexion with a stressed and stress-free ACL. J. Biomech. 2004;37:1723–1731
  42. Marinozzi G, Pappalardo S, Steindler R. Human knee ligaments: mechanical tests and ultrastructural observations. Ital. J. Orthop. Traumatol. 1983;9:231–240
  43. Maynard MJ, Deng X, Wickiewicz TL, Warren RF. The popliteofibular ligament. Rediscovery of a key element in posterolateral stability. Am. J. Sports Med. 1996;24:311–316
  44. Meister BR, Michael SP, Moyer RA, Kelly JD, Schneck CD. Anatomy and kinematics of the lateral collateral ligament of the knee. Am. J. Sports Med. 2000;28:869–878
  45. Mommersteeg TJ, Blankevoort L, Huiskes R, Kooloos JG, Kauer JM, Hendriks JC. The effect of variable relative insertion orientation of human knee bone–ligament-bone complexes on the tensile stiffness. J. Biomech. 1995;28:745–752
  46. Moon DK, Woo SL, Takakura Y, Gabriel MT, Abramowitch SD. The effects of refreezing on the viscoelastic and tensile properties of ligaments. J. Biomech. 2006;39:1153–1157
  47. Nagamine R, Otani T, White SE, McCarthy DS, Whiteside LA. Patellar tracking measurement in the normal knee. J. Orthop. Res. 1995;13:115–122
  48. Noyes FR, Butler DL, Grood ES, Zernicke RF, Hefzy MS. Biomechanical analysis of human ligament grafts used in knee-ligament repairs and reconstructions. J. Bone Joint Surg. Am. 1984;66:344–352
  49. Noyes FR, Grood ES. The strength of the anterior cruciate ligament in humans and Rhesus monkeys. J. Bone Joint Surg. Am. 1976;58:1074–1082
  50. Park S, Hung CT, Ateshian GA. Mechanical response of bovine articular cartilage under dynamic unconfined compression loading at physiological stress levels. Osteoarthritis Cartilage. 2004;12:65–73
  51. Paulos LE, France EP, Rosenberg TD, Drez DJ, Abbott PJ, Straight CB, et al. Comparative material properties of allograft tissues for ligament replacement. Effect of type, age, sterillization and preservation. Transactions of the Orthopaedic Research Society. San Francisco, California; 1988;pp. 129
  52. Pena E, Calvo B, Martinez MA, Doblare M. A three-dimensional finite element analysis of the combined behavior of ligaments and menisci in the healthy human knee joint. J. Biomech. 2006;39:1686–1701
  53. Pena E, Calvo B, Martinez MA, Palanca D, Doblare M. Finite element analysis of the effect of meniscal tears and meniscectomies on human knee biomechanics. Clin. Biomech. (Bristol, Avon). 2005;20:498–507
  54. Penrose JM, Holt GM, Beaugonin M, Hose DR. Development of an accurate three-dimensional finite element knee model. Comput. Meth. Biomech. Biomed. Eng. 2002;5:291–300
  55. Piazza SJ, Delp SL. Three-dimensional dynamic simulation of total knee replacement motion during a step-up task. J. Biomech. Eng. 2001;123:599–606
  56. Pioletti, D.P., 1997. Viscoelastic properties of soft tissues: application to knee ligaments and tendons. Ph.D. Thesis, Departement de Physique, Ecole Polytechnique Federale de Lausanne, Switzerland.
  57. Pioletti DP, Rakotomanana LR, Benvenuti JF, Leyvraz PF. Viscoelastic constitutive law in large deformations: application to human knee ligaments and tendons. J. Biomech. 1998;31:753–757
  58. Prietto, M.P., Bain, J.R., Stonebrook, S.N., Settleage, R.A., 1988. Tensile strength of human posterior cruciate ligament (PCL). Transactions of the Orthopaedic Research Society, Atlanta, Georgia.
  59. Prot V, Skallerud B. Nonlinear solid finite element analysis of mitral valves with heterogeneous leaflet layers. Comput. Mech. 2009;43:353–368
  60. Quapp KM, Weiss JA. Material characterization of human medial collateral ligament. J. Biomech. Eng. 1998;120:757–763
  61. Race, A., Amis, A.A., 1992. The mechanical properties of the two bundles of the human posterior cruciate ligament. Transactions of the Orthopaedic Research Society, Washington, DC.
  62. Race A, Amis AA. The mechanical properties of the two bundles of the human posterior cruciate ligament. J. Biomech. 1994;27:13–24
  63. Robinson JR, Bull AM, Amis AA. Structural properties of the medial collateral ligament complex of the human knee. J. Biomech. 2005;38:1067–1074
  64. Sakai N, Luo ZP, Rand JA, An KN. The influence of weakness in the vastus medialis oblique muscle on the patellofemoral joint: an in vitro biomechanical study. Clin. Biomech. (Bristol, Avon). 2000;15:335–339
  65. Saltelli A, Tarantola S. On the relative importance of input factors in mathematical models: safety assessment for nuclear waste disposal. J. Am. Stat. Assoc. 2002;97:702–709
  66. Shepherd DE, Seedhom BB. The ‘instantaneous’ compressive modulus of human articular cartilage in joints of the lower limb. Rheumatology (Oxford). 1999;38:124–132
  67. Skaggs DL, Warden WH, Mow VC. Radial tie fibers influence the tensile properties of the bovine medial meniscus. J. Orthop. Res. 1994;12:176–185
  68. SoboÍ, I.M., 1990 (in Russian), 1993 (in English). Sensitivity Estimates for Nonlinear Mathematical Models Mathematical Modelling and Computational Experiments, vol. 1, pp. 407–414.
  69. Song Y, Debski RE, Musahl V, Thomas M, Woo SL. A three-dimensional finite element model of the human anterior cruciate ligament: a computational analysis with experimental validation. J. Biomech. 2004;37:383–390
  70. Staubli HU, Schatzmann L, Brunner P, Rincon L, Nolte LP. Mechanical tensile properties of the quadriceps tendon and patellar ligament in young adults. Am. J. Sports Med. 1999;27:27–34
  71. Steiner ME, Koskinen SK, Winalski CS, Martin SD, Haymen M. Dynamic lateral patellar tilt in the anterior cruciate ligament-deficient knee. A magnetic resonance imaging analysis. Am. J. Sports Med. 2001;29:593–599
  72. Sugita T, Amis AA. Anatomic and biomechanical study of the lateral collateral and popliteofibular ligaments. Am. J. Sports Med. 2001;29:466–472
  73. Tissakht M, Ahmed AM. Tensile stress–strain characteristics of the human meniscal material. J. Biomech. 1995;28:411–422
  74. Trent PS, Walker PS, Wolf B. Ligament length patterns, strength, and rotational axes of the knee joint. Clin. Orthop. Relat. Res. 1976;263–270
  75. van Kampen A, Huiskes R. The three-dimensional tracking pattern of the human patella. J. Orthop. Res. 1990;8:372–382
  76. Weiss, J.A., Gardiner, J.C., Quapp, K.M., 1995. Material models for the study of soft tissue mechanics. In: Proceedings of the International Conference on Pelvic and Lower Extremity Injuries, Washington, D.C.
  77. Wilson DR, Feikes JD, Zavatsky AB, O’Connor JJ. The components of passive knee movement are coupled to flexion angle. J. Biomech. 2000;33:465–473
  78. Wilson TW, Zafuta MP, Zobitz M. A biomechanical analysis of matched bone-patellar tendon-bone and double-looped semitendinosus and gracilis tendon grafts. Am. J. Sports Med. 1999;27:202–207
  79. Woo, S.L., Buckwalter, J.A., (Eds.), 1988. Injury and repair of the musculoskeletal soft tissues. American Academy of Orthopaedic Surgeons.
  80. Woo SL, Hollis JM, Adams DJ, Lyon RM, Takai S. Tensile properties of the human femur–anterior cruciate ligament–tibia complex. The effects of specimen age and orientation. Am. J. Sports Med. 1991;19:217–225
  81. Woo SL, Orlando CA, Camp JF, Akeson WH. Effects of postmortem storage by freezing on ligament tensile behavior. J. Biomech. 1986;19:399–404
  82. Woo SL, Orlando CA, Gomez MA, Frank CB, Akeson WH. Tensile properties of the medial collateral ligament as a function of age. J. Orthop. Res. 1986;4:133–141
  83. Yao J, Funkenbusch PD, Snibbe J, Maloney M, Lerner AL. Sensitivities of medial meniscal motion and deformation to material properties of articular cartilage, meniscus and meniscal attachments using design of experiments methods. J. Biomech. Eng. 2006;128:399–408
  84. Zavatsky AB, Oppold PT, Price AJ. Simultaneous in vitro measurement of patellofemoral kinematics and forces. J. Biomech. Eng. 2004;126:351–356

PII: S0021-9290(10)00438-0

doi: 10.1016/j.jbiomech.2010.08.005

Journal of Biomechanics
Volume 43, Issue 16 , Pages 3118-3125 , 1 December 2010