Model studies of the stiffness characteristics of the human knee joint

Andriacchi, Thomas P.; Mikosz, R.P.; Hampton, S.J.; Galante, Jorge O.

doi:10.1016/0021-9290(83)90043-x

Cited by 112 publications

(36 citation statements)

References 10 publications

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“…It provided an excellent guide for future en hancements of the knee model and the subsequent validations. Similar, to other previously reported models (Andriacchi et al, 1983;Essinger et al, 1989;Wismans et a/.} 1980), the knee model in the present study was of a crude nature relative to the complex anatomy of the knee, e.g., the line element representa tion of the ligaments and the absence of some of the capsular structures and absence of the menisci.…”

Section: Discussionsupporting

confidence: 80%

“…Three-dimensional knee joint models require the geometry of the articular surfaces and the insertion sites of the ligaments, and the mechanical properties of liga ments and cartilage surfaces (Andriacchi et al, 1983;Essinger et al, 1989;Wismans et al, 1980). The geometry of the articular surfaces and the ligament insertion sites of one or more indi vidual joints were usually measured accurately (Essinger et al, 1989;Wismans et a l, 1980), whereas the stiffness parameters for the ligaments and articular contact were based on data reported in the literature (Andriacchi et al, 1983;Essinger et al, 1989;Gibson et al, 1986). Sufficient data are available for the nonlin ear stress-strain or force-Tength relationships of the ligaments (e.g.…”

Section: Introductionmentioning

confidence: 99%

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Validation of a three-dimensional model of the knee

Blankevoort

Huiskes

1996

Journal of Biomechanics

187

114

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Abstract-Three-dimensional mathematical models of the tibio-femoral joint require input of the geometry of articulating surfaces and ligament insertions, and the mechanical properties of cartilage and ligaments. This paper describes a validation of a knee model through a direct specimen-related comparison between the knee model and the kinematics of four knee joint specimens from which the geometry data were used as input of the model The knee model is quasi-static and is based on equilibrium of forces and moments. The stiffness properties of the ligaments and articular cartilage were estimated on the basis of data reported in the literature. The so-called reference strains in the ligament bundles for the joint in extension, were determined by using an optimization procedure, minimizing the difference between the kinematics of the model and the kinematics of experimentally obtained flexion motions with an internally or an externally rotated tibia (±3 Nm load). A reasonable to good agreement between the model and the experimental kinematics could be obtained for internal-external rotation laxity and the coupled translations and varus-valgus rotation. The disparity between model and experiment varied from knee to knee, average deviations ranging from close to zero to 8° internal rotation deviation and from 5 mm posterior to 3 mm anterior position deviation. The average anterior-posterior laxities at both 20° and 90° flexion were within the variations reported in the literature, although for each individual joint with some underestimation or overestimation. It was concluded that the optimization procedure compensated for the lack of menisci and capsular structures by higher prestrains, thereby overestimating the ligament forces, Despite the gross simplifica tions relative to the complex anatomy of the knee, the present knee model can realistically simulate the passive motion characteristics of the human knee joint.

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Section: Discussionsupporting

confidence: 80%

Section: Introductionmentioning

confidence: 99%

Validation of a three-dimensional model of the knee

Blankevoort

Huiskes

1996

Journal of Biomechanics

187

114

View full text Add to dashboard Cite

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“…The functional spinal unit shown consists of the sacrum S, the fifth lumbar vertebra L 5 , and the intervertebral disc I. The basis vectors {e 1 1 , e 1 3 , e 1 3 } and {e 2 1 , e 2 3 , e 2 3 } are attached to the body S and L 5 respectively. The conservative forces (F 1 and F 2 ) and moments (M 1 and M 2 ) supplied by the disc, facets, and ligaments to the two vertebral units are given by (88) and (95)- (94) We denote the Euler angles used to parameterize the rotation tensor Q K of the Kth rigid body by (ν…”

Section: Multibody Systemsmentioning

confidence: 99%

“…Several others researchers, such as [3,10,19], extended the formulation of the Cartesian stiffness matrices to a range of mechanical systems. Our interest in this matrix stems from its potential biomechanical applications ranging from quantifying the motion of a knee joint using a stiffness parameter [1], to modeling the intervertebral disc of the spine using a stiffness matrix [7,16,17]. These joints are ideally suited to such an analysis especially in the realm of small motions about an equilibrium.…”

mentioning

confidence: 99%

On Cartesian stiffness matrices in rigid body dynamics: an energetic perspective

2010

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“…Models attempting to describe knee joint kinematics and loading are numerous (Andriacchi et al 1983;Gill and O'Connor 1996;Li et al 2002). However, most models adopt rather crude simplifications of plane of movement, internal structures and joint surfaces (Shelburne and Pandy 1997;Abdel-Rahman and Hefzy 1998;Koehle and Hull 2008), and are designed for quasi-static conditions (Bei and Fregly 2004).…”

Section: Introductionmentioning

confidence: 99%

A dynamic multibody model of the physiological knee to predict internal loads during movement in gravitational field

Bersini

Sansone

Frigo

2015

Computer Methods in Biomechanics and Biomedical Engineering

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Obtaining tibio-femoral (TF) contact forces, ligament deformations and loads during daily life motor tasks would be useful to better understand the aetiopathogenesis of knee joint diseases or the effects of ligament reconstruction and knee arthroplasty. However, methods to obtain this information are either too simplified or too computationally demanding to be used for clinical application. A multibody dynamic model of the lower limb reproducing knee joint contact surfaces and ligaments was developed on the basis of magnetic resonance imaging. Several clinically relevant conditions were simulated, including resistance to hyperextension, varus-valgus stability, anterior -posterior drawer, loaded squat movement. Quadriceps force, ligament deformations and loads, and TF contact forces were computed. During anterior drawer test the anterior cruciate ligament (ACL) was maximally loaded when the knee was extended (392 N) while the posterior cruciate ligament (PCL) was much more stressed during posterior drawer when the knee was flexed (319 N). The simulated loaded squat revealed that the anterior fibres of ACL become inactive after 608 of flexion in conjunction with PCL anterior bundle activation, while most components of the collateral ligaments exhibit limited length changes. Maximum quadriceps and TF forces achieved 3.2 and 4.2 body weight, respectively. The possibility to easily manage model parameters and the low computational cost of each simulation represent key points of the present project. The obtained results are consistent with in vivo measurements, suggesting that the model can be used to simulate complex and clinically relevant exercises.

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Model studies of the stiffness characteristics of the human knee joint

Cited by 112 publications

References 10 publications

Validation of a three-dimensional model of the knee

Validation of a three-dimensional model of the knee

On Cartesian stiffness matrices in rigid body dynamics: an energetic perspective

A dynamic multibody model of the physiological knee to predict internal loads during movement in gravitational field

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