A global verification study of a quasi-static knee model with multi-bundle ligaments

Mommersteeg, T.J.A.

doi:10.1016/0021-9290(96)00076-0

Cited by 17 publications

(8 citation statements)

References 5 publications

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“…Blankevoort and Huiskes (1996) have developed a mathematical model of the knee. Their model was simplified by considering ligaments as multiple straight-line elements and not with 3D geometries of the ligaments (Mommersteeg et al, 1996a). They did not take into account the stabilizing effects of the menisci.…”

Section: Discussionmentioning

confidence: 99%

Effects of the posterior cruciate ligament reconstruction on the biomechanics of the knee joint: a finite element analysis

Ramaniraka

Terrier

Theumann

et al. 2005

Clinical Biomechanics

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Background. Previous experimental studies have been conducted to evaluate the biomechanical effects of posterior cruciate ligament reconstruction; but no consensus has been reached on the preferred method of reconstruction.Methods. The 3D finite element mesh of a knee joint was reconstructed from computed tomography and magnetic resonance images. The ligaments were considered as hyperelastic materials. The tibiofemoral and patellofemoral joints were modeled with large sliding contact elements. The 3D model was used to simulate knee flexion from 0°to 90°in four cases: a knee with a ''native'' posterior cruciate ligament, a resected posterior cruciate ligament, a reconstructed single graft posterior cruciate ligament, and a reconstructed double graft posterior cruciate ligament.Findings. A resected posterior cruciate ligament induced high compressive forces in the medial tibiofemoral and patellofemoral compartments. The pressures generated in the tibiofemoral and patellofemoral compartments were nearly the same for the two reconstruction techniques (single graft and double graft). The single graft resulted in lower tensile stresses inside the graft than for the double graft.Interpretation. Firstly, a resected posterior cruciate ligament should be replaced to avoid excessive compressive forces, which are a source of cartilage degeneration. Secondly, the two types of posterior cruciate ligament reconstruction techniques partially restored the biomechanics of the knee in flexion, e.g. contact pressures were restored for pure flexion of the knee. The reconstruction techniques therefore partially restore the biomechanics of the knee in flexion. A double graft reconstruction is subjected to the highest tensile stresses.

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Section: Discussionmentioning

confidence: 99%

Effects of the posterior cruciate ligament reconstruction on the biomechanics of the knee joint: a finite element analysis

Ramaniraka

Terrier

Theumann

et al. 2005

Clinical Biomechanics

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“…The vast majority of studies that have employed computational methods to study ligaments have used a one-dimensional representation of ligament geometry [3,12,33,46]. This entails using either single or multiple line elements [46], while allowing load transfer to bones at single or multiple points [5].…”

Section: Introductionmentioning

confidence: 99%

Subject‐specific finite element analysis of the human medial collateral ligament during valgus knee loading

Gardiner

Weiss

2003

Journal Orthopaedic Research

191

177

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The objectives of this study were (1) to develop subject-specific experimental and finite element (FE) techniques to study the three-dimensional stress-strain behavior of ligaments, with application to the human medial collateral ligament (MCL), and (2) to determine the importance of subject-specific material properties and initial (in situ) strain distribution for prediction of the strain distribution in the MCL under valgus loading. Eight male knees were subjected to varus-valgus loading at flexion angles of O", 30", and 60". Three-dimensional joint kinematics and MCL strains were recorded during kinematic testing. Following testing, the MCL of each knee was removed to allow measurement of the in situ strain distribution and to perform material testing. A FE model of the femur-MCL-tibia complex was constructed for each knee to simulate valgus loading at each flexion angle, using subject-specific bone and ligament geometry, material properties, and joint kinematics. A transversely isotropic hyperelastic material model was used to represent the MCL. The MCL in situ strain distribution at full extension was used to apply in situ strain to each MCL FE model. FE predicted MCL strains during valgus loading were compared to experimental measurements using regression analysis. The subject-specific FE predictions of strain correlated reasonably well with experimentally measured MCL strains (R' = 0.83, 0.72, and 0.66 at O", 30°, and 60", respectively). Despite large inter-subject variation in MCL material properties, MCL strain distributions predicted by individual FE models that used average MCL material properties were strongly correlated with subject-specific FE strain predictions (R' = 0.99 at all flexion angles). However, predictions by FE models that used average in situ strain distributions yielded relatively poor correlations with subject-specific FE predictions (R' = 0.44,0.35, and 0.33 at flexion angles of O", 30". and 60", respectively). The strain distribution within the MCL was nonuniform and changed with flexion angle. The highest MCL strains occurred at full extension in the posterior region of the MCL proximal to the joint line during valgus loading, suggesting this region may be most vulnerable to injury under these loading conditions. This work demonstrates that subject-specific FE models can predict the complex, nonuniform strain fields that occur in ligaments due to external loading of the joint.

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“…The parameters defined by Markolf (Markolf et al, 1976(Markolf et al, , 1978 were estimated from the A/P component of the forces. These parameters were the laxity, and the anterior and posterior stiffnesses, and they were considered in different studies focused on the modeling of the knee (Wismans et al, 1980;Mommersteeg et al, 1996;Race & Amis, 1996;Bendjaballah et al, 1998;Moglo & Shirazi-Adl, 2003). The laxity (Markolf et al, 1978) was defined as the tibial translation necessary to reach a specified level of A/P force, ±100 N or ±200 N. The anterior and the posterior stiffnesses (Markolf et al, 1976) were defined as the slopes of the tangents to the A/P force restraint curve versus the A/P tibial displacement at ±100 N.…”

Section: Methodsmentioning

confidence: 99%

Evaluation of a Cruciate Ligament Model: Sensitivity to the Parameters during Drawer Test Simulation

Bertozzi

Stagni²,

Fantozzi³

et al. 2008

Journal of Applied Biomechanics

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The knowledge of how cruciate ligaments stabilize the knee joint could be very useful during the execution of daily living activities for the development of clinical procedures. The objective of this study was to evaluate a cruciate ligament model that could achieve this knowledge while avoiding any destructive measurements in living healthy subjects. Subject-specific geometries and kinematic data, acquired from a living subject, were the foundations of the devised model. Each cruciate ligament was modeled with 25 linear-elastic elements and their geometrical properties were subject specific. The anteroposterior drawer test was simulated, and the sensitivity to the reference length and the elastic modulus was performed. Laxity, anterior, and posterior stiffness were calculated and compared with the literature. The laxity was most sensitive to reference length but fitted the literature well considering the reference length estimated from the subject. Both stiffnesses were most sensitive to elastic modulus variations. At full extension, anterior stiffness overestimated the literature, but at 90° good comparisons with the literature were obtained. Posterior stiffness showed smaller overestimations. The devised model, when properly improved, could evaluate the role of the cruciate ligaments of a living subject during the execution of daily living activities.

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A global verification study of a quasi-static knee model with multi-bundle ligaments

Cited by 17 publications

References 5 publications

Effects of the posterior cruciate ligament reconstruction on the biomechanics of the knee joint: a finite element analysis

Effects of the posterior cruciate ligament reconstruction on the biomechanics of the knee joint: a finite element analysis

Subject‐specific finite element analysis of the human medial collateral ligament during valgus knee loading

Evaluation of a Cruciate Ligament Model: Sensitivity to the Parameters during Drawer Test Simulation

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