Elsevier

Journal of Biomechanics

Volume 43, Issue 12, 26 August 2010, Pages 2261-2266
Journal of Biomechanics

Internal kinetic changes in the knee due to high tibial osteotomy are well-correlated with change in external adduction moment: An osteoarthritic knee model

https://doi.org/10.1016/j.jbiomech.2010.05.001Get rights and content

Abstract

In-vivo quantification of loads in the constitutive structures of the osteoarthritic knee can provide clinical insight, particularly when planning a surgery like the opening-wedge high tibial osteotomy (HTO). A computational knee model was created to estimate internal kinetics during walking gait. An optimization approach partitioned loads between the muscles, ligaments, medial and lateral contact surfaces of the tibial–femoral joint. Three kinetic measures were examined in 30 HTO patients: external knee adduction moment (EKAM), medial compartment load (ML) and the medial-to-lateral compartment loads ratio (MLR). Three time points were compared: immediately pre-HTO, 6 and 12 months post-HTO. Three hypotheses were tested: (1) HTO reduces an EKAM, an ML and an MLR, (2) these measures are not significantly different at 6 and 12 months post-HTO, and (3) the change in the impulse of EKAM due to a HTO is well-correlated with the impulse of an MLR.

The three hypotheses were confirmed. First peak of an EKAM during stance phase was reduced significantly by 1.70% BW-ht. ML and MLR at the same instance were reduced significantly by 0.56%BW and 1.0, respectively. These measures were not significantly different between 6 and 12 months post-HTO. Changes in impulse of an EKAM and an MLR were moderately well-correlated between the pre-HTO and 6 months post-HTO time points (R2=0.5485). Therefore, the external measure EKAM-impulse is a good proxy of the internal kinetic measure of an MLR-impulse, explaining about 55% of the variance in the change due to a HTO intervention.

Introduction

Osteoarthritis (OA) of the knee is most often unicompartmental, more frequently affecting the medial compartment (Baliunas et al., 2002). The tibial plateau articulates with the femoral condyles, creating a joint that bears up to 2.5 times body weight during walking (Mundermann et al., 2008). Given that the line of action of the ground reaction force passes medially to the knee joint throughout stance phase, loading in the medial compartment is significantly higher than in the lateral (Shelburne et al., 2006). A varus knee alignment would tend to increase this load asymmetry, and so varus alignment has been identified as a risk factor for medial compartment OA (Teichtahl et al., 2009).

The external knee adduction moment (EKAM) has been demonstrated to be a valid proxy for medial compartment loading and OA severity (Hunt et al., 2006). However, the correlation between an EKAM and medial compartment load is not perfect, since many of the soft tissues structures spanning the knee joint tend to share the external adduction moment during gait (Zhao et al., 2007). Additionally, studies have shown that patterns of muscle activation in subjects with osteoarthritis are different from healthy subjects in that the augmented muscle activation patterns serve to reduce loads on the knee as subjects attempt to avoid pain (Lewek et al., 2004, Hubley-Kozey et al., 2008). Due to the subject-specific nature of OA and the multiple factors that can affect joint loading, a more direct measure of an in-vivo medial and lateral compartment loading is often sought. Previous studies have used an inverse dynamics approach in two-dimensions (Collins and O’Connor, 1991) and three-dimensions (Shelburne et al., 2006, Kakihana et al., 2005; Glitsch et al., 1997) with an in-vivo kinematic and kinetic gait data from patient populations to estimate the internal kinetics of knee joint soft tissue structures. More complex finite element modeling has also been used to estimate stress distributions within the meniscus, cartilage and ligaments (Papaioannou et al., 2008, Yao et al., 2008, Donahue et al., 2002, Penrose et al., 2002, Li et al., 1999, Perie and Hobatho, 1998). But these models are difficult to validate. Accurate modeling depends on representative geometry of the in-vivo knee. Anatomical geometries have been derived from cadaveric specimens (Morrison et al., 1969; Crowninshield and Brand, 1981) and medical imaging, such as MRI (Hashemi et al., 2008, Yao et al., 2008, Heller et al., 2008, Bei and Fregly, 2004, Penrose et al., 2002, Arnold et al., 2000, DeFrate et al., 2004, Li et al., 1999, Perie and Hobatho, 1998) or CT (Au et al., 2008). But applying subject-specific knee models to a large patient cohort is unfeasible in a clinical setting. The model in this study uses an inverse dynamic, optimization approach with geometry derived from a generic knee that is scaled to the patient size.

An alternative to total knee replacement for treating medial compartment OA is the opening-wedge high tibial osteotomy (Spahn and Wittig, 2002). The HTO creates a wedge in the medial proximal tibia, which is plated medially. This realigns the lower leg, moving the knee joint medially and reducing varus angulation. HTO is thought to shift loading from the medial into the lateral compartment (Agneskirchner et al., 2007). A study of medial and lateral compartment pressures in cadavers under simulated walking gait showed a strong correlation between the medial-to-lateral compartment load ratio and knee alignment, and showed a significant change in the load ratio with a HTO (Agneskirchner et al., 2007). Due to the significant alteration of geometry with the HTO, this procedure is a prime candidate to examine with a model of internal kinetics. Such a model could test whether load is indeed shifted laterally with the HTO.

This study examines the correlation between the external kinetic measure of external knee adduction moment (EKAM) and the internal kinetic measures of medial compartment load (ML) and medial-to-lateral load ratio (MLR) during walking gait and the stability of these changes over time. These measures were examined at three time points: immediately pre-HTO, 6 and 12 months post-HTO. Three hypotheses were tested: (1) that the HTO procedure reduces an EKAM, an ML and an MLR, (2) these measures are not significantly different at 6 and 12 months post-HTO, and (3) the change in the impulse of EKAM due to a HTO is well-correlated with the impulse of an MLR. The change in an EKAM-impulse with HTO was used, since it has been shown to better differentiate OA severity than peak magnitudes of EKAM (Maly et al., 2008, Thorp et al., 2006, Thorp et al., 2007). An in-house computational model estimated internal kinetic measures of an ML and an MLR. The EKAM was determined from the an in-vivo walking gait data using an inverse dynamic approach. A large cohort of 30 knee OA patients, who were undergoing a HTO realignment was examined.

Section snippets

Subjects

Kinematic and kinetic data for 30 HTO patients (mean (SD) at pre-HTO collection: mass 92.17 (13.70) kg; height 174.87 (8.38) cm); during walking gait was retrieved over the database. Patients were randomly selected from the population of unilateral opening-wedge HTOs to correct a varus malalignment (Hunt et al., 2006). Each patient had performed three gait analyses (immediately pre-HTO, 6 and 12 months post-HTO).

Gait analysis data and inverse dynamics

Kinematic data was collected with an eight-camera motion capture system (Hi-Res Eagle

Results

An average curves for an EKAM, an ML and an MLR at each test time point are shown in Fig. 4. An average instance of the first peak of an EKAM across the 30 patients was 23% stance phase.

There was a significant decrease (p<0.01) for all three kinetic measures between pre-HTO and 6 months post-HTO (Table 1). An EKAM dropped by 1.70 (1.37) %BW-ht, an ML dropped by 0.56 (0.52) %BW and an MLR dropped by 1.00 (1.05). There were no significant differences between 6 and 12 months post-HTO for any of

Discussion

The first hypothesis was confirmed with the first peak in an average EKAM reduced significantly due to the HTO. The instance used for comparison was found by observing the peak EKAM from the population average curves (Fig. 4—A, B and C). At this same point in stance phase, the medial compartment load (ML) and the ratio of medial-to-lateral loading were also significantly reduced. These changes were also stable at 12 months post-HTO, which confirmed the second hypothesis, with no significant

Conflict of interest statement

There are no commercial relationships to this work that may lead to conflict of interests. There are no financial or personal relationships with other people or organizations that could inappropriately influence this work.

Acknowledgements

This research was funded by a Natural Science and Engineering Research Council Discovery grant.

References (40)

  • M.A. Hunt et al.

    Associations among knee adduction moment, frontal plane ground reaction force, and lever arm during walking in patients with knee osteoarthritis

    Journal of Biomechanics

    (2006)
  • W. Kakihana et al.

    Effects of laterally wedged insoles on knee and subtalar joint moments

    Archives of Physical Medicine and Rehabilitation

    (2005)
  • S.C. Landry et al.

    Knee biomechanics of moderate OA patients measured during gait at a self-selected and fast walking speed

    Journal of Biomechanics

    (2007)
  • M.D. Lewek et al.

    Quadriceps femoris muscle weakness and activation failure in patients with symptomatic knee osteoarthritis

    Journal of Orthopaedic Research

    (2004)
  • M.R. Maly et al.

    Mechanical factors relate to pain in knee osteoarthritis

    Clinical Biomechanics

    (2008)
  • G. Papaioannou et al.

    Patient-specific knee joint finite element validation with high-accuracy kinematics from biplane dynamic Roentgen stereogrammetric analysis

    Journal of Biomechanics

    (2008)
  • A.G. Patriarco et al.

    An evaluation of the approaches of optimization models in the prediction of muscle forces during human gait

    Journal of Biomechanics

    (1981)
  • D. Perie et al.

    In-vivo determination of contact areas and pressure of the femorotibial joint using non-linear finite element analysis

    Clinical Biomechanics (Bristol, Avon)

    (1998)
  • R.T. Raikova et al.

    Sensitivity of predicted muscle forces to parameters of the optimization-based human leg model revealed by analytical and numerical analyses

    Journal of Biomechanics

    (2001)
  • A. Seireg et al.

    A mathematical model for evaluation of forces in lower extremeties of the musculo-skeletal system

    Journal of Biomechanics

    (1973)
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