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Selecting boundary conditions in physiological strain analysis of the femur: Balanced loads, inertia relief method and follower load. Med Eng Phys 2015; 37:1180-5. [PMID: 26521092 DOI: 10.1016/j.medengphy.2015.10.002] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/09/2014] [Revised: 06/24/2015] [Accepted: 10/05/2015] [Indexed: 11/23/2022]
Abstract
Selection of boundary constraints may influence amount and distribution of loads. The purpose of this study is to analyze the potential of inertia relief and follower load to maintain the effects of musculoskeletal loads even under large deflections in patient specific finite element models of intact or fractured bone compared to empiric boundary constraints which have been shown to lead to physiological displacements and surface strains. The goal is to elucidate the use of boundary conditions in strain analyses of bones. Finite element models of the intact femur and a model of clinically relevant fracture stabilization by locking plate fixation were analyzed with normal walking loading conditions for different boundary conditions, specifically re-balanced loading, inertia relief and follower load. Peak principal cortex surface strains for different boundary conditions are consistent (maximum deviation 13.7%) except for inertia relief without force balancing (maximum deviation 108.4%). Influence of follower load on displacements increases with higher deflection in fracture model (from 3% to 7% for force balanced model). For load balanced models, follower load had only minor influence, though the effect increases strongly with higher deflection. Conventional constraints of fixed nodes in space should be carefully reconsidered because their type and position are challenging to justify and for their potential to introduce relevant non-physiological reaction forces. Inertia relief provides an alternative method which yields physiological strain results.
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52
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Sensitivity of femoral strain calculations to anatomical scaling errors in musculoskeletal models of movement. J Biomech 2015; 48:3606-15. [DOI: 10.1016/j.jbiomech.2015.08.001] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/21/2014] [Revised: 08/03/2015] [Accepted: 08/04/2015] [Indexed: 11/20/2022]
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Schellenberg F, Oberhofer K, Taylor WR, Lorenzetti S. Review of Modelling Techniques for In Vivo Muscle Force Estimation in the Lower Extremities during Strength Training. COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE 2015; 2015:483921. [PMID: 26417378 PMCID: PMC4568356 DOI: 10.1155/2015/483921] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 12/02/2014] [Revised: 02/11/2015] [Accepted: 02/12/2015] [Indexed: 01/02/2023]
Abstract
BACKGROUND Knowledge of the musculoskeletal loading conditions during strength training is essential for performance monitoring, injury prevention, rehabilitation, and training design. However, measuring muscle forces during exercise performance as a primary determinant of training efficacy and safety has remained challenging. METHODS In this paper we review existing computational techniques to determine muscle forces in the lower limbs during strength exercises in vivo and discuss their potential for uptake into sports training and rehabilitation. RESULTS Muscle forces during exercise performance have almost exclusively been analysed using so-called forward dynamics simulations, inverse dynamics techniques, or alternative methods. Musculoskeletal models based on forward dynamics analyses have led to considerable new insights into muscular coordination, strength, and power during dynamic ballistic movement activities, resulting in, for example, improved techniques for optimal performance of the squat jump, while quasi-static inverse dynamics optimisation and EMG-driven modelling have helped to provide an understanding of low-speed exercises. CONCLUSION The present review introduces the different computational techniques and outlines their advantages and disadvantages for the informed usage by nonexperts. With sufficient validation and widespread application, muscle force calculations during strength exercises in vivo are expected to provide biomechanically based evidence for clinicians and therapists to evaluate and improve training guidelines.
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Affiliation(s)
| | - Katja Oberhofer
- Institute for Biomechanics, ETH Zurich, HCI E 351, 8093 Zurich, Switzerland
| | - William R. Taylor
- Institute for Biomechanics, ETH Zurich, HCI E 351, 8093 Zurich, Switzerland
| | - Silvio Lorenzetti
- Institute for Biomechanics, ETH Zurich, HCI E 351, 8093 Zurich, Switzerland
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Taddei F, Palmadori I, Taylor WR, Heller MO, Bordini B, Toni A, Schileo E. European Society of Biomechanics S.M. Perren Award 2014: Safety factor of the proximal femur during gait: A population-based finite element study. J Biomech 2014; 47:3433-40. [DOI: 10.1016/j.jbiomech.2014.08.030] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/14/2014] [Revised: 07/16/2014] [Accepted: 08/19/2014] [Indexed: 11/30/2022]
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Lenhart RL, Thelen DG, Wille CM, Chumanov ES, Heiderscheit BC. Increasing running step rate reduces patellofemoral joint forces. Med Sci Sports Exerc 2014; 46:557-64. [PMID: 23917470 DOI: 10.1249/mss.0b013e3182a78c3a] [Citation(s) in RCA: 166] [Impact Index Per Article: 16.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
PURPOSE Increasing step rate has been shown to elicit changes in joint kinematics and kinetics during running, and it has been suggested as a possible rehabilitation strategy for runners with patellofemoral pain. The purpose of this study was to determine how altering step rate affects internal muscle forces and patellofemoral joint loads, and then to determine what kinematic and kinetic factors best predict changes in joint loading. METHODS We recorded whole body kinematics of 30 healthy adults running on an instrumented treadmill at three step rate conditions (90%, 100%, and 110% of preferred step rate). We then used a 3-D lower extremity musculoskeletal model to estimate muscle, patellar tendon, and patellofemoral joint forces throughout the running gait cycles. In addition, linear regression analysis allowed us to ascertain the relative influence of limb posture and external loads on patellofemoral joint force. RESULTS Increasing step rate to 110% of the preferred reduced peak patellofemoral joint force by 14%. Peak muscle forces were also altered as a result of the increased step rate with hip, knee, and ankle extensor forces, and hip abductor forces all reduced in midstance. Compared with the 90% step rate condition, there was a concomitant increase in peak rectus femoris and hamstring loads during early and late swing, respectively, at higher step rates. Peak stance phase knee flexion decreased with increasing step rate and was found to be the most important predictor of the reduction in patellofemoral joint loading. CONCLUSION Increasing step rate is an effective strategy to reduce patellofemoral joint forces and could be effective in modulating biomechanical factors that can contribute to patellofemoral pain.
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Affiliation(s)
- Rachel L Lenhart
- 1Department of Biomedical Engineering, University of Wisconsin-Madison, Madison, WI; 2Department of Mechanical Engineering, University of Wisconsin-Madison, Madison, WI; and 3Department of Orthopedics and Rehabilitation, University of Wisconsin-Madison, Madison, WI
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Trepczynski A, Kutzner I, Bergmann G, Taylor WR, Heller MO. Modulation of the relationship between external knee adduction moments and medial joint contact forces across subjects and activities. Arthritis Rheumatol 2014; 66:1218-27. [PMID: 24470261 PMCID: PMC4158863 DOI: 10.1002/art.38374] [Citation(s) in RCA: 63] [Impact Index Per Article: 6.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/24/2013] [Accepted: 01/16/2014] [Indexed: 11/26/2022]
Abstract
Objective The external knee adduction moment (EAM) is often considered a surrogate measure of the distribution of loads across the tibiofemoral joint during walking. This study was undertaken to quantify the relationship between the EAM and directly measured medial tibiofemoral contact forces (Fmed) in a sample of subjects across a spectrum of activities. Methods The EAM for 9 patients who underwent total knee replacement was calculated using inverse dynamics analysis, while telemetric implants provided Fmed for multiple repetitions of 10 activities, including walking, stair negotiation, sit-to-stand activities, and squatting. The effects of the factors “subject” and “activity” on the relationships between Fmed and EAM were quantified using mixed-effects regression analyses in terms of the root mean square error (RMSE) and the slope of the regression. Results Across subjects and activities a good correlation between peak EAM and Fmed values was observed, with an overall R2 value of 0.88. However, the slope of the linear regressions varied between subjects by up to a factor of 2. At peak EAM and Fmed, the RMSE of the regression across all subjects was 35% body weight (%BW), while the maximum error was 127 %BW. Conclusion The relationship between EAM and Fmed is generally good but varies considerably across subjects and activities. These findings emphasize the limitation of relying solely on the EAM to infer medial joint loading when excessive directed cocontraction of muscles exists and call for further investigations into the soft tissue–related mechanisms that modulate the internal forces at the knee.
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57
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Bergmann G, Bender A, Graichen F, Dymke J, Rohlmann A, Trepczynski A, Heller MO, Kutzner I. Standardized loads acting in knee implants. PLoS One 2014; 9:e86035. [PMID: 24465856 PMCID: PMC3900456 DOI: 10.1371/journal.pone.0086035] [Citation(s) in RCA: 224] [Impact Index Per Article: 22.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/21/2013] [Accepted: 12/04/2013] [Indexed: 11/25/2022] Open
Abstract
The loads acting in knee joints must be known for improving joint replacement, surgical procedures, physiotherapy, biomechanical computer simulations, and to advise patients with osteoarthritis or fractures about what activities to avoid. Such data would also allow verification of test standards for knee implants. This work analyzes data from 8 subjects with instrumented knee implants, which allowed measuring the contact forces and moments acting in the joint. The implants were powered inductively and the loads transmitted at radio frequency. The time courses of forces and moments during walking, stair climbing, and 6 more activities were averaged for subjects with I) average body weight and average load levels and II) high body weight and high load levels. During all investigated activities except jogging, the high force levels reached 3,372–4,218N. During slow jogging, they were up to 5,165N. The peak torque around the implant stem during walking was 10.5 Nm, which was higher than during all other activities including jogging. The transverse forces and the moments varied greatly between the subjects, especially during non-cyclic activities. The high load levels measured were mostly above those defined in the wear test ISO 14243. The loads defined in the ISO test standard should be adapted to the levels reported here. The new data will allow realistic investigations and improvements of joint replacement, surgical procedures for tendon repair, treatment of fractures, and others. Computer models of the load conditions in the lower extremities will become more realistic if the new data is used as a gold standard. However, due to the extreme individual variations of some load components, even the reported average load profiles can most likely not explain every failure of an implant or a surgical procedure.
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Affiliation(s)
- Georg Bergmann
- Julius Wolff Institute, Charité – Universitätsmedizin Berlin, Berlin, Germany
- * E-mail:
| | - Alwina Bender
- Julius Wolff Institute, Charité – Universitätsmedizin Berlin, Berlin, Germany
| | - Friedmar Graichen
- Julius Wolff Institute, Charité – Universitätsmedizin Berlin, Berlin, Germany
| | - Jörn Dymke
- Julius Wolff Institute, Charité – Universitätsmedizin Berlin, Berlin, Germany
| | - Antonius Rohlmann
- Julius Wolff Institute, Charité – Universitätsmedizin Berlin, Berlin, Germany
| | - Adam Trepczynski
- Julius Wolff Institute, Charité – Universitätsmedizin Berlin, Berlin, Germany
| | - Markus O. Heller
- Engineering Science Unit, University of Southampton, Highfield, Southampton, Great Britain
| | - Ines Kutzner
- Julius Wolff Institute, Charité – Universitätsmedizin Berlin, Berlin, Germany
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58
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Kutzner I, Trepczynski A, Heller MO, Bergmann G. Knee adduction moment and medial contact force--facts about their correlation during gait. PLoS One 2013; 8:e81036. [PMID: 24312522 PMCID: PMC3847086 DOI: 10.1371/journal.pone.0081036] [Citation(s) in RCA: 150] [Impact Index Per Article: 13.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/19/2013] [Accepted: 10/18/2013] [Indexed: 11/18/2022] Open
Abstract
The external knee adduction moment is considered a surrogate measure for the medial tibiofemoral contact force and is commonly used to quantify the load reducing effect of orthopedic interventions. However, only limited and controversial data exist about the correlation between adduction moment and medial force. The objective of this study was to examine whether the adduction moment is indeed a strong predictor for the medial force by determining their correlation during gait. Instrumented knee implants with telemetric data transmission were used to measure tibiofemoral contact forces in nine subjects. Gait analyses were performed simultaneously to the joint load measurements. Skeletal kinematics, as well as the ground reaction forces and inertial parameters, were used as inputs in an inverse dynamics approach to calculate the external knee adduction moment. Linear regression analysis was used to analyze the correlation between adduction moment and medial force for the whole stance phase and separately for the early and late stance phase. Whereas only moderate correlations between adduction moment and medial force were observed throughout the whole stance phase (R(2) = 0.56) and during the late stance phase (R(2) = 0.51), a high correlation was observed at the early stance phase (R(2) = 0.76). Furthermore, the adduction moment was highly correlated to the medial force ratio throughout the whole stance phase (R(2) = 0.75). These results suggest that the adduction moment is a surrogate measure, well-suited to predicting the medial force ratio throughout the whole stance phase or medial force during the early stance phase. However, particularly during the late stance phase, moderate correlations and high inter-individual variations revealed that the predictive value of the adduction moment is limited. Further analyses are necessary to examine whether a combination of other kinematic, kinetic or neuromuscular factors may lead to a more reliable prediction of the force magnitude.
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Affiliation(s)
- Ines Kutzner
- Julius Wolff Institute, Charité - Universitätsmedizin Berlin, Berlin, Germany
- * E-mail:
| | - Adam Trepczynski
- Julius Wolff Institute, Charité - Universitätsmedizin Berlin, Berlin, Germany
| | - Markus O. Heller
- Julius Wolff Institute, Charité - Universitätsmedizin Berlin, Berlin, Germany
- Bioengineering Group, University of Southampton, Highfield, Southampton, United Kingdom
| | - Georg Bergmann
- Julius Wolff Institute, Charité - Universitätsmedizin Berlin, Berlin, Germany
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Borotikar BS, Sheehan FT. In vivo patellofemoral contact mechanics during active extension using a novel dynamic MRI-based methodology. Osteoarthritis Cartilage 2013; 21:1886-1894. [PMID: 24012620 PMCID: PMC5548374 DOI: 10.1016/j.joca.2013.08.023] [Citation(s) in RCA: 35] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 04/08/2013] [Revised: 07/23/2013] [Accepted: 08/23/2013] [Indexed: 02/02/2023]
Abstract
OBJECTIVES To establish an in vivo, normative patellofemoral (PF) cartilage contact mechanics database acquired during voluntary muscle control using a novel, dynamic, magnetic resonance (MR) imaging-based, computational methodology and validate the contact mechanics sensitivity to the known sub-millimeter methodological accuracies. DESIGN Dynamic cine phase-contrast and multi-plane cine (MPC) images were acquired while female subjects (n = 20, sample of convenience) performed an open kinetic chain (knee flexion-extension) exercise inside a 3-T MR scanner. Static cartilage models were created from high resolution three-dimensional static MR data and accurately placed in their dynamic pose at each time frame based on the cine-PC (CPC) data. Cartilage contact parameters were calculated based on the surface overlap. Statistical analysis was performed using paired t-test and a one-sample repeated measures ANOVA. The sensitivity of the contact parameters to the known errors in the PF kinematics was determined. RESULTS Peak mean PF contact area was 228.7 ± 173.6 mm(2) at 40° knee angle. During extension, contact centroid and peak strain locations tracked medially on the femoral and patellar cartilage and were not significantly different from each other. At 25°, 30°, 35°, and 40° of knee extension, contact area was significantly different. Contact area and centroid locations were insensitive to rotational and translational perturbations. CONCLUSION This study is a first step towards unfolding the biomechanical pathways to anterior PF pain and osteoarthritis (OA) using dynamic, in vivo, and accurate methodologies. The database provides crucial data for future studies and for validation of, or as an input to, computational models.
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Affiliation(s)
- B S Borotikar
- Functional and Applied Biomechanics Section/Rehabilitation Medicine Department, National Institutes of Health, Bethesda, MD, USA
| | - F T Sheehan
- Functional and Applied Biomechanics Section/Rehabilitation Medicine Department, National Institutes of Health, Bethesda, MD, USA.
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60
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Sit-to-stand movement in children: A longitudinal study based on kinematics data. Hum Mov Sci 2013; 32:836-46. [DOI: 10.1016/j.humov.2013.06.004] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/03/2012] [Revised: 05/19/2013] [Accepted: 06/19/2013] [Indexed: 11/21/2022]
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Fok LA, Schache AG, Crossley KM, Lin YC, Pandy MG. Patellofemoral Joint Loading During Stair Ambulation in People With Patellofemoral Osteoarthritis. ACTA ACUST UNITED AC 2013; 65:2059-69. [DOI: 10.1002/art.38025] [Citation(s) in RCA: 54] [Impact Index Per Article: 4.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/31/2012] [Accepted: 05/14/2013] [Indexed: 11/09/2022]
Affiliation(s)
| | | | | | - Yi-Chung Lin
- University of Melbourne; Parkville Victoria Australia
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Frontal plane knee and hip kinematics during sit-to-stand and proximal lower extremity strength in persons with patellofemoral osteoarthritis: a pilot study. J Appl Biomech 2013; 30:82-94. [PMID: 23878206 DOI: 10.1123/jab.2012-0244] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
Increased joint stress and malalignment are etiologic factors in osteoarthritis. Static tibiofemoral frontal plane malalignment is associated with patellofemoral osteoarthritis (PFOA). Patellofemoral joint stress is increased by activities such as sit-to-stand (STS); this stress may be even greater if dynamic frontal plane tibiofemoral malalignment occurs. If hip muscle or quadriceps weakness is present in persons with PFOA, aberrant tibiofemoral frontal plane movement may occur, with increased patellofemoral stress. No studies have investigated frontal plane tibiofemoral and hip kinematics during STS in persons with PFOA or the relationship of hip muscle and quadriceps strength to these motions. Eight PFOA and seven control subjects performed STS from a stool during three-dimensional motion capture. Hip muscle and quadriceps strength were measured as peak isometric force. The PFOA group demonstrated increased peak tibial abduction angles during STS, and decreased hip abductor, hip extensor, and quadriceps peak force versus controls. A moderate inverse relationship between peak tibial abduction angle and peak hip abductor force was present. No difference between groups was found for peak hip adduction angle or peak hip external rotator force. Dynamic tibiofemoral malalignment and proximal lower extremity weakness may cause increased patellofemoral stress and may contribute to PFOA incidence or progression.
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63
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Wagner DW, Stepanyan V, Shippen JM, Demers MS, Gibbons RS, Andrews BJ, Creasey GH, Beaupre GS. Consistency among musculoskeletal models: caveat utilitor. Ann Biomed Eng 2013; 41:1787-99. [PMID: 23775441 DOI: 10.1007/s10439-013-0843-1] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/01/2013] [Accepted: 06/05/2013] [Indexed: 10/26/2022]
Abstract
Musculoskeletal simulation software and model repositories have broadened the user base able to perform musculoskeletal analysis and have facilitated in the sharing of models. As the recognition of musculoskeletal modeling continues to grow as an engineering discipline, the consistency in results derived from different models and software is becoming more critical. The purpose of this study was to compare eight models from three software packages and evaluate differences in quadriceps moment arms, predicted muscle forces, and predicted tibiofemoral contact forces for an idealized knee-extension task spanning -125 to +10° of knee extension. Substantial variation among models was observed for the majority of aspects evaluated. Differences among models were influenced by knee angle, with better agreement of moment arms and tibiofemoral joint contact force occurring at low to moderate knee flexion angles. The results suggest a lack of consistency among models and that output differences are not simply an artifact of naturally occurring inter-individual differences. Although generic musculoskeletal models can easily be scaled to consistent limb lengths and use the same muscle recruitment algorithm, the results suggest those are not sufficient conditions to produce consistent muscle or joint contact forces, even for simplified models with no potential of co-contraction.
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Affiliation(s)
- David W Wagner
- Center for Tissue Regeneration, Repair, and Restoration, VA Palo Alto Health Care System, 3801 Miranda Ave., Palo Alto, CA 94304, USA.
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Stefanik JJ, Niu J, Gross D, Roemer FW, Guermazi A, Felson DT. Using magnetic resonance imaging to determine the compartmental prevalence of knee joint structural damage. Osteoarthritis Cartilage 2013; 21:695-9. [PMID: 23428598 PMCID: PMC3638815 DOI: 10.1016/j.joca.2013.02.003] [Citation(s) in RCA: 62] [Impact Index Per Article: 5.6] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 08/03/2012] [Revised: 12/18/2012] [Accepted: 02/08/2013] [Indexed: 02/02/2023]
Abstract
OBJECTIVE To describe the prevalence of magnetic resonance imaging (MRI) detected structural damage in the patellofemoral joint (PFJ) and tibiofemoral joint (TFJ) in a population-based cohort. A secondary aim was to evaluate the patterns of compartmental involvement in knees with pain, between men and women, and in different age and body mass index (BMI) categories. METHODS We studied 970 knees, one knee per subject, from the Framingham Osteoarthritis Study, a population-based cohort study of persons 51-92 years old. Cartilage damage and bone marrow lesions (BMLs) were assessed using the Whole Organ Magnetic Resonance Imaging Score (WORMS). The prevalence of isolated PFJ, isolated TFJ, and mixed structural damage was determined using the following definitions: any cartilage damage, full thickness cartilage loss, any BML, and the combination of full thickness cartilage loss with any BML. RESULTS The mean age and BMI was 63.4 years and 28.6 m/kg(2), respectively; 57% were female. Isolated PFJ damage occurred in 15-20% of knees and isolated TFJ damage occurred in 8-17% of knees depending on the definition used. The prevalence of isolated PFJ damage was greater than isolated TFJ damage using all definitions except the any BML definition. This pattern was similar between genders and among age and BMI categories. In those with knee pain, isolated PFJ was at least as common as TFJ damage depending on the definition used. CONCLUSION Using MRI to assess knee joint structural damage, isolated PFJ damage was at least as common as, if not more common than, isolated TFJ damage.
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Affiliation(s)
| | - Jingbo Niu
- Boston University School of Medicine, Boston, MA
| | - Douglas Gross
- Boston University School of Medicine, Boston, MA
- Massachusetts General Hospital Institute of Health Professions, Boston, MA
| | - Frank W. Roemer
- Boston University School of Medicine, Boston, MA
- Klinikum Augsburg, Augsburg, Germany
| | - Ali Guermazi
- Boston University School of Medicine, Boston, MA
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