The Effect of Ligament Modeling Technique on Knee Joint Kinematics: A Finite Element Study

Finite element (FE) analysis has become an increasingly popular technique in the study of human joint biomechanics, as it allows for detailed analysis of the joint/tissue behavior under complex, clinically relevant loading conditions. A wide variety of modeling techniques have been utilized to model knee joint ligaments. However, the effect of a selected constitutive model to simulate the ligaments on knee kinematics remains unclear. The purpose of the current study was to determine the effect of two most common techniques utilized to model knee ligaments on joint kinematics under functional loading conditions. We hypothesized that anatomic representations of the knee ligaments with anisotropic hyperelastic properties will result in more realistic kinematics. A previously developed, extensively validated anatomic FE model of the knee developed from a healthy, young female athlete was used. FE models with 3D anatomic and simplified uniaxial representations of main knee ligaments were used to simulate four functional loading conditions. Model predictions of tibiofemoral joint kinematics were compared to experimental measures. Results demonstrated the ability of the anatomic representation of the knee ligaments (3D geometry along with anisotropic hyperelastic material) in more physiologic prediction of the human knee motion with strong correlation (r ≥ 0.9 for all comparisons) and minimum deviation (0.9º ≤ RMSE ≤ 2.29°) from experimental findings. In contrast, non-physiologic uniaxial elastic representation of the ligaments resulted in lower correlations (r ≤ 0.6 for all comparisons) and substantially higher deviation (2.6° ≤ RMSE ≤ 4.2°) from experimental results. Findings of the current study support our hypothesis and highlight the critical role of soft tissue modeling technique on the resultant FE predicted joint kinematics.

[1]  V A Samaranayake,et al.  Surface strain variation in human patellar tendon and knee cruciate ligaments. , 1990, Journal of biomechanical engineering.

[2]  R. Ogden,et al.  Hyperelastic modelling of arterial layers with distributed collagen fibre orientations , 2006, Journal of The Royal Society Interface.

[3]  Thomas P Andriacchi,et al.  The influence of deceleration forces on ACL strain during single-leg landing: a simulation study. , 2007, Journal of biomechanics.

[4]  J C Gardiner,et al.  Strain in the Human Medial Collateral Ligament During Valgus Loading of the Knee , 2001, Clinical orthopaedics and related research.

[5]  F. Linde,et al.  Elastic and viscoelastic properties of trabecular bone by a compression testing approach. , 1994, Danish medical bulletin.

[6]  Jiang Yao,et al.  Sensitivities of medial meniscal motion and deformation to material properties of articular cartilage, meniscus and meniscal attachments using design of experiments methods. , 2006, Journal of biomechanical engineering.

[7]  A. Terrier,et al.  Effects of the posterior cruciate ligament reconstruction on the biomechanics of the knee joint: a finite element analysis. , 2005, Clinical biomechanics.

[8]  W C Hayes,et al.  Mechanical properties of metaphyseal bone in the proximal femur. , 1991, Journal of biomechanics.

[9]  Feng Xie,et al.  A study on construction three-dimensional nonlinear finite element model and stress distribution analysis of anterior cruciate ligament. , 2009, Journal of biomechanical engineering.

[10]  J. Middleton,et al.  Three-dimensional finite element modelling of the human ACL: simulation of passive knee flexion with a stressed and stress-free ACL. , 2004, Journal of biomechanics.

[11]  Miguel Ángel Martínez,et al.  A three-dimensional finite element analysis of the combined behavior of ligaments and menisci in the healthy human knee joint. , 2006, Journal of biomechanics.

[12]  King H. Yang,et al.  A new method to investigate in vivo knee behavior using a finite element model of the lower limb. , 2004, Journal of biomechanics.

[13]  L. S. Matthews,et al.  The limitations of canine trabecular bone as a model for human: a biomechanical study. , 1989, Journal of biomechanics.

[14]  Vijay K. Goel,et al.  Finite Element Model of the Knee for Investigation of High Rate Injury Mechanisms: Development and Validation , 2012 .

[15]  E. Abdel-Rahman,et al.  Three-dimensional dynamic behaviour of the human knee joint under impact loading. , 1998, Medical engineering & physics.

[16]  A. M. Ahmed,et al.  Tensile stress-strain characteristics of the human meniscal material. , 1995, Journal of biomechanics.

[17]  M. Bendjaballah,et al.  Finite element analysis of human knee joint in varus-valgus. , 1997, Clinical biomechanics.

[18]  J. Lewis,et al.  Elastic modulus of calcified cartilage is an order of magnitude less than that of subchondral bone , 1994, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[19]  M. Hull,et al.  A finite element model of the human knee joint for the study of tibio-femoral contact. , 2002, Journal of biomechanical engineering.

[20]  L. Blankevoort,et al.  Validation of a three-dimensional model of the knee. , 1996, Journal of biomechanics.

[21]  Freddie H. Fu,et al.  The Effectiveness of Reconstruction of the Anterior Cruciate Ligament with Hamstrings and Patellar Tendon: A Cadaveric Study Comparing Anterior Tibial and Rotational Loads , 2002, The Journal of bone and joint surgery. American volume.

[22]  F. Girgis,et al.  The cruciate ligaments of the knee joint. Anatomical, functional and experimental analysis. , 1975, Clinical orthopaedics and related research.

[23]  S L Woo,et al.  A validated three-dimensional computational model of a human knee joint. , 1999, Journal of biomechanical engineering.

[24]  Yasin Y Dhaher,et al.  The effect of connective tissue material uncertainties on knee joint mechanics under isolated loading conditions. , 2010, Journal of biomechanics.

[25]  S. Woo,et al.  A three-dimensional finite element model of the human anterior cruciate ligament: a computational analysis with experimental validation. , 2004, Journal of biomechanics.

[26]  J. Weiss,et al.  Material characterization of human medial collateral ligament. , 1998, Journal of biomechanical engineering.

[27]  W. H. Warden,et al.  Radial tie fibers influence the tensile properties of the bovine medial meniscus , 1994, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[28]  V Pinskerova,et al.  The movement of the normal tibio-femoral joint. , 2005, Journal of biomechanics.

[29]  S. Goldstein The mechanical properties of trabecular bone: dependence on anatomic location and function. , 1987, Journal of biomechanics.

[30]  E S Grood,et al.  A joint coordinate system for the clinical description of three-dimensional motions: application to the knee. , 1983, Journal of biomechanical engineering.

[31]  B B Seedhom,et al.  The 'instantaneous' compressive modulus of human articular cartilage in joints of the lower limb. , 1999, Rheumatology.