Forward dynamics simulation using a natural knee with menisci in the multibody framework

Information on knee loading and the relationship between muscle force and tissue response would benefit orthopaedic medicine, the development of engineered tissues, and our understanding of degenerative joint disease. As a step toward developing subject specific musculoskeletal simulations that predict loading on knee structures, this study combines a cadaver-based validated natural multibody knee model with a muscle driven forward dynamics simulation from a subject of similar height and weight for prediction of joint contact mechanics. Geometries for the multibody model were obtained from magnetic resonance images of a cadaver knee. The ligaments were represented with non-linear spring-damper elements with insertions and zero-load lengths derived from experimental measurements. The menisci were represented as discrete elements connected by 6×6 stiffness matrices and to allow prediction of contact pressure, the medial tibia plateau cartilage was divided into discrete elements. The force-displacement relationships of the knee model were validated by placing it in a model of a dynamic knee simulator and comparing predicted kinematics to experimental kinematics of the identically loaded cadaver knee. Motion, ground reaction forces, and surface electromyography were measured during a dual-limb squat on a female subject with similar height and weight as that of the cadaver donor. The gait data were used in a forward dynamics simulation of the dual-limb squat that included the cadaver knee model. The resulting tibio-femoral contact forces and pressures were compared for versions of the model with and without representation of the menisci. Inclusion of the menisci decreased the peak contact pressure on the medial tibia plateau by 20% and the cartilage-to-cartilage contact force on the lateral side was reduced by 40% through the squat cycle.

[1]  J Wismans,et al.  A three-dimensional mathematical model of the knee-joint. , 1980, Journal of biomechanics.

[2]  Lorin P Maletsky,et al.  Simulating dynamic activities using a five-axis knee simulator. , 2005, Journal of biomechanical engineering.

[3]  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.

[4]  Martin Englund,et al.  The role of biomechanics in the initiation and progression of OA of the knee. , 2010, Best practice & research. Clinical rheumatology.

[5]  Jiang Yao,et al.  Stresses and strains in the medial meniscus of an ACL deficient knee under anterior loading: a finite element analysis with image-based experimental validation. , 2006, Journal of biomechanical engineering.

[6]  King H. Yang,et al.  Patient-specific knee joint finite element model validation with high-accuracy kinematics from biplane dynamic Roentgen stereogrammetric analysis. , 2008, Journal of biomechanics.

[7]  Harry E Rubash,et al.  The change in length of the medial and lateral collateral ligaments during in vivo knee flexion. , 2005, The Knee.

[8]  Harry E Rubash,et al.  In vivo tibiofemoral cartilage deformation during the stance phase of gait. , 2010, Journal of biomechanics.

[9]  Benjamin J Fregly,et al.  Multibody dynamic simulation of knee contact mechanics. , 2004, Medical engineering & physics.

[10]  S. Abrassart,et al.  Anatomy of the anterior cruciate ligament , 2006, Knee Surgery, Sports Traumatology, Arthroscopy.

[11]  James R. Robinson,et al.  Biomechanics of the PCL and related structures: posterolateral, posteromedial and meniscofemoral ligaments , 2003, Knee Surgery, Sports Traumatology, Arthroscopy.

[12]  Walter Herzog,et al.  Model-based estimation of muscle forces exerted during movements. , 2007, Clinical biomechanics.

[13]  D. Périé,et al.  In vivo determination of contact areas and pressure of the femorotibial joint using non-linear finite element analysis. , 1998, Clinical biomechanics.

[14]  K. H. Hunt,et al.  Coefficient of Restitution Interpreted as Damping in Vibroimpact , 1975 .

[15]  G. Bergmann,et al.  ESB Clinical Biomechanics Award 2008: Complete data of total knee replacement loading for level walking and stair climbing measured in vivo with a follow-up of 6-10 months. , 2009, Clinical biomechanics.

[16]  T. Guess,et al.  A subject specific multibody model of the knee with menisci. , 2010, Medical engineering & physics.

[17]  V C Mow,et al.  Material properties and structure-function relationships in the menisci. , 1990, Clinical orthopaedics and related research.

[18]  Trent M. Guess,et al.  Computational Modeling of a Dynamic Knee Simulator for Reproduction of Joint Loading , 2003 .

[19]  M. Pandy,et al.  A Three-Dimensional Musculoskeletal Model of the Human Knee Joint. Part 1: Theoretical Construction , 1997 .

[20]  Scott L Delp,et al.  Weight‐bearing MRI of patellofemoral joint cartilage contact area , 2004, Journal of magnetic resonance imaging : JMRI.

[21]  Barbara Zielinska,et al.  3D finite element model of meniscectomy: changes in joint contact behavior. , 2006, Journal of biomechanical engineering.

[22]  Scott Tashman,et al.  Validation of three-dimensional model-based tibio-femoral tracking during running. , 2009, Medical engineering & physics.

[23]  Gretchen B Salsich,et al.  In Vivo Assessment of Patellofemoral Joint Contact Area in Individuals Who are Pain Free , 2003, Clinical orthopaedics and related research.

[24]  Ganesh Thiagarajan,et al.  A multibody knee model with discrete cartilage prediction of tibio-femoral contact mechanics , 2013, Computer methods in biomechanics and biomedical engineering.

[25]  H. Grootenboer,et al.  Articular contact in a three-dimensional model of the knee. , 1991, Journal of biomechanics.

[26]  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.

[27]  J. Block,et al.  The biomechanical effects of focused muscle training on medial knee loads in OA of the knee: a pilot, proof of concept study. , 2010, Journal of musculoskeletal & neuronal interactions.

[28]  R Al Nazer,et al.  Flexible multibody simulation approach in the analysis of tibial strain during walking. , 2008, Journal of biomechanics.

[29]  M. S. Hefzy,et al.  3-D anatomically based dynamic modeling of the human knee to include tibio-femoral and patello-femoral joints. , 2004, Journal of biomechanical engineering.

[30]  Scott Tashman,et al.  A method to estimate in vivo dynamic articular surface interaction. , 2003, Journal of biomechanics.