Two-dimensional dynamic modeling of human knee joint

Moeinzadeh, Manssour H.; Engin, Ali Erkan; Akkaş, Nuri

doi:10.1016/0021-9290(82)90225-1

Cited by 13 publications

(28 citation statements)

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“…Figure 6 shows the average radii of the curvatures in both lateral and medial compartments [47], where the values are expressed in millimeters. Moeinzadeh et al [26] and Abdel-Rohmam and Hefzy [27] used similar values for the radii of curvature for the medial compartment only. It should be noted that in general, the applied load is higher in the lateral compared to medial compartments, since the articular cartilage is thicker in the lateral than medial compartments.…”

Section: Modeling the Contact Forcesmentioning

confidence: 99%

“…Crowninshield et al [25] tested human knee ligaments and observed that a quadratic stress-strain function is a good approximation for the elastic behavior of the ligaments. In the present study, the following force-elongation relation is considered for each knee ligament [26][27][28][29],…”

Section: Strain [%]mentioning

confidence: 99%

“…The artificial restrictions of the quasi-static inverse method, such as the necessity to specify the preferred configuration, can be eliminated if the dynamic parameters of the problem are incorporated into the dynamic models, as it is the case presented in the present study. Moeinzadeh et al [26] developed a two-dimensional dynamic model of the knee including ligament resistance, and specified a force and moment on the femur. A similar model was developed by Abdel-Rahman and Hefzy [27], which was later extended to three-dimensions [28].…”

Section: Introductionmentioning

confidence: 99%

“…The main features that characterize and distinguish the model proposed here are: (i) the model is a dynamic one, since it relates the body forces with the motion produced, and hence it is more appropriate for studying human daily activities compared to static models [17]; (ii) this model explicitly relates the knee mechanical properties and the contact forces produced, what is not the case in almost all the models available in the literature [25][26][27][28][29]; (iii) the model is simple, generic and easy to implement in other types of biomechanical systems, such as those that consider human whole-body gross motion [6]; (iv) the model does not contain any conventional kinematic joint and is hence capable of representing of all modes of the knee motion. Furthermore, the paper presents an important application of multiboby dynamics analysis in biomechanical modeling and analysis.…”

Section: Introductionmentioning

confidence: 99%

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Development of a planar multibody model of the human knee joint

et al. 2009

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International audienceThe aim of this work is to develop a dynamic model for the biological human knee joint. The model is formulated in the framework of multibody systems methodologies, as a system of two bodies, the femur and the tibia. For the purpose of describing the formulation, the relative motion of the tibia with respect to the femur is considered. Due to their higher stiffness compared to that of the articular cartilages, the femur and tibia are considered as rigid bodies. The femur and tibia cartilages are considered to be deformable structures with specific material characteristics. The rotation and gliding motions of the tibia relative to the femur cannot be modeled with any conventional kinematic joint, but rather in terms of the action of the knee ligaments and potential contact between the bones. Based on medical imaging techniques, the femur and tibia profiles in the sagittal plane are extracted and used to define the interface geometric conditions for contact. When a contact is detected, a continuous nonlinear contact force law is applied which calculates the contact forces developed at the interface as a function of the relative indentation between the two bodies. The four basic cruciate and collateral ligaments present in the knee are also taken into account in the proposed knee joint model, which are modeled as nonlinear elastic springs. The forces produced in the ligaments, together with the contact forces, are introduced into the system's equations of motion as external forces. In addition, an external force is applied on the center of mass of the tibia, in order to actuate the system mimicking a normal gait motion. Finally, numerical results obtained from computational simulations are used to address the assumptions and procedures adopted in this study

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Section: Modeling the Contact Forcesmentioning

confidence: 99%

Section: Strain [%]mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Development of a planar multibody model of the human knee joint

et al. 2009

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“…They included a three-dimensional curved geometry of the tibia and femur surfaces, as well as nonlinear elastic spring to model ligaments. Moeinzadeh et al [35] developed a two-dimensional dynamic model of the knee including ligament resistance, and specified a force and moment on the femur. A similar model was developed by Abdel-Rahman and Hefzy [36], which was later extended to three-dimensions [37].…”

Section: Introductionmentioning

confidence: 99%

Modeling of the condyle elements within a biomechanical knee model

et al. 2011

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The development of a computational multibody knee model able to capture some of the fundamental properties of the human knee articulation is presented. This desideratum is reached by including the kinetics of the real knee articulation. The research question is whether an accurate modeling of the condyle contact in the knee will lead to reproduction of the complex combination of flexion/extension, abduction/adduction, and tibial rotation observed in the real knee. The model is composed by two anatomic segments, the tibia and the femur, whose characteristics are functions of the geometric and anatomic properties of the real bones. The biomechanical model characterization is developed under the framework of multibody systems methodologies using Cartesian coordinates. The type of approach used in the proposed knee model is the joint surface contact conditions between ellipsoids, representing the two femoral condyles, and points, representing the tibial plateau and the menisci. These elements are closely fitted to the actual knee geometry. This task is undertaken by considering a parameter optimization process to replicate experimental data published in the literature, namely that by Lafortune and his coworkers in 1992. Then kinematic data in the form of flexion/extension patterns are imposed on the model corresponding to the stance phase of the human gait. From the results obtained, by performing several computational simulations, it can be observed that the knee model approximates the average secondary motion patterns observed in the literature. Because the literature reports considerable inter-individual differences in the secondary motion patterns, the knee model presented here is also used to check whether it is possible to reproduce the observed differences with reasonable variations of bone shape parameters. This task is accomplished by a parameter study, in which the main variables that define the geometry of condyles are taken into account. It was observed that the data reveal a difference in secondary kinematics of the knee in flexion versus extension. The likely explanation for this fact is the elastic component of the secondary motions created by the combination of joint forces and soft tissue deformations. The proposed knee model is, therefore, used to investigate whether this observed behavior can be explained by reasonable elastic deformations of the points representing the menisci in the model.

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A Forward Dynamics Methodology to Study Nonlinear Dynamics and Wear of Total Knee Arthroplasties

Askari

Andersen

2022

NODYCON Conference Proceedings Series

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Relative motion between the knee components, dynamic loading, and contact stresses in the knee joint play vital roles in the development and progression of wear occurrence in total knee arthroplasty (TKA), which can ultimately cause the implant to fail and require revision [1,2]. Therefore, developing anatomical-based models to study the kinetic and kinematic behavior of substructures of TKAs while taking the real geometry and material properties of knee components is essential. Having a look at the scientific history of knee joint models, the pioneering successful work comes back to the anatomical and sophisticated three-dimensional (3D) quasistatic model Wismans et al. developed in 1980 [3]. During the last decades, many studies were carried out employing quasi-static knee models [4,5]. However, quasistatic models do not allow to consider inertial loads and detailed studies of such a complex joint to determine, e.g., the tribological behavior of the joint [6,7]. Much of the mathematical dynamic approaches of the joint available in the literature are two-dimensional, considering motions in the sagittal plane only [8]. One of the very first successful attempts to determine the 3D dynamic solution of knee joint was carried out by Abdel-Rahman and Hefzy [6], while the model did not account for the deformation of the articular surfaces and the real geometry of the tibial insert. Later, that model was improved by Caruntu and Hefzy [7] to take into account deformable contact at the articular surfaces. Although much of the available knee joint dynamic models just focused on the joint rather than whole body simulation, Piazza and E. Askari ( )

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Two-dimensional dynamic modeling of human knee joint

Cited by 13 publications

References 0 publications

Development of a planar multibody model of the human knee joint

Development of a planar multibody model of the human knee joint

Modeling of the condyle elements within a biomechanical knee model

A Forward Dynamics Methodology to Study Nonlinear Dynamics and Wear of Total Knee Arthroplasties

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