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Wearne LS, Rapagna S, Awadalla M, Keene G, Taylor M, Perilli E. Quantifying the immediate post-implantation strain field of cadaveric tibiae implanted with cementless tibial trays: A time-elapsed micro-CT and digital volume correlation analysis during stair descent. J Mech Behav Biomed Mater 2024; 151:106347. [PMID: 38181568 DOI: 10.1016/j.jmbbm.2023.106347] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/11/2023] [Revised: 12/18/2023] [Accepted: 12/22/2023] [Indexed: 01/07/2024]
Abstract
Primary stability, the mechanical fixation between implant and bone prior to osseointegration, is crucial for the long-term success of cementless tibial trays. However, little is known about the mechanical interplay between the implant and bone internally, as experimental studies quantifying internal strain are limited. This study employed digital volume correlation (DVC) to quantify the immediate post-implantation strain field of five cadaveric tibiae implanted with a commercially available cementless titanium tibial tray (Attune, DePuy Synthes). The tibiae were subjected to a five-step loading sequence (0-2.5 bodyweight, BW) replicating stair descent, with concomitant time-elapsed micro-CT imaging. With progressive loads, increased compression of trabecular bone was quantified, with the highest strains directly under the posterior region of the tibial tray implant, dissipating with increasing distance from the bone-implant interface. After load removal of the last load step (2.5BW), residual strains were observed in all of the five tibiae, with residual strains confined within 3.14 mm from the bone-implant interface. The residual strain is reflective of the observed initial migration of cementless tibial trays reported in clinical studies. The presence of strains above the yield strain of bone accepted in literature suggests that inelastic properties should be included within finite element models of the initial mechanical environment. This study provides a means to experimentally quantify the internal strain distribution of human tibia with cementless trays, increasing the understanding of the mechanical interaction between bone and implant.
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Affiliation(s)
- Lauren S Wearne
- Medical Device Research Institute, College of Science and Engineering, Flinders University, Adelaide, South Australia, Australia
| | - Sophie Rapagna
- Medical Device Research Institute, College of Science and Engineering, Flinders University, Adelaide, South Australia, Australia; Flinders Microscopy and Microanalysis, College of Science and Engineering, Flinders University, Adelaide, South Australia, Australia
| | - Maged Awadalla
- Medical Device Research Institute, College of Science and Engineering, Flinders University, Adelaide, South Australia, Australia
| | - Greg Keene
- Orthopaedic Department, SportsMed, Adelaide, South Australia, Australia
| | - Mark Taylor
- Medical Device Research Institute, College of Science and Engineering, Flinders University, Adelaide, South Australia, Australia
| | - Egon Perilli
- Medical Device Research Institute, College of Science and Engineering, Flinders University, Adelaide, South Australia, Australia.
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MacAulay A, Rahman A, Marks L, Murray DW, Mellon SJ. A finite element model for investigating the influence of keel design and position on unicompartmental knee replacement cementless tibial component fixation. Med Eng Phys 2024; 125:104119. [PMID: 38508799 DOI: 10.1016/j.medengphy.2024.104119] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/13/2022] [Revised: 11/07/2023] [Accepted: 02/14/2024] [Indexed: 03/22/2024]
Abstract
OBJECTIVES The cementless Oxford Unicompartmental Knee Replacement (OUKR) tibial component relies on an interference fit to achieve initial fixation. The behaviour at the implant-bone interface is not fully understood and hence modelling of implants using Finite Element (FE) software is challenging. With a goal of exploring alternative implant designs with lower fracture risk and adequate fixation, this study aims to investigate whether optimisation of FE model parameters could accurately reproduce experimental results of a pull-out test which assesses fixation. MATERIALS AND METHODS Finite element models of implants with three methods of fixation (standard keel, small keel, and peg) in a bone analogue foam block were created, in which implants were modelled using an analytical rigid definition and the foam block was modelled as a homogenous linear isotropic material. The total interference and elastic slip were varied in these models and optimised by comparing simulated and experimental results of pull-out tests for two (standard and peg) implant geometries. Then the optimised interference and elastic slip were validated by comparing simulated and experimental data of a third (small keel) implant geometry. RESULTS The optimisation of parameters established an interference of 0.16 mm and an elastic slip of 0.20 mm as most suitable for modelling the experimental force-displacement plots during pull-out. This combination of parameters accurately reproduced the experimental results of the small keel geometry. The maximum pull-out forces from the FE models were consistent with experimental data for each implant design. CONCLUSIONS This study shows that experimental pull-out tests can be accurately modelled using adjusted interference values and non-linear friction and outlines a method for determining these parameters. This study demonstrates that complex problems in modelling implant behaviour can be addressed with relatively simple models. This can potentially lead to the development of implants with reduced risk of failure.
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Affiliation(s)
- Alexander MacAulay
- Nuffield Department of Orthopaedics, Rheumatology and Musculoskeletal Sciences (NDORMS), Oxford Orthopaedic Engineering Centre (OOEC), University of Oxford, Botnar Research Centre, Oxford, United Kingdom.
| | - Azmi Rahman
- Nuffield Department of Orthopaedics, Rheumatology and Musculoskeletal Sciences (NDORMS), Oxford Orthopaedic Engineering Centre (OOEC), University of Oxford, Botnar Research Centre, Oxford, United Kingdom
| | - Laurence Marks
- Nuffield Department of Orthopaedics, Rheumatology and Musculoskeletal Sciences (NDORMS), Oxford Orthopaedic Engineering Centre (OOEC), University of Oxford, Botnar Research Centre, Oxford, United Kingdom
| | - David W Murray
- Nuffield Department of Orthopaedics, Rheumatology and Musculoskeletal Sciences (NDORMS), Oxford Orthopaedic Engineering Centre (OOEC), University of Oxford, Botnar Research Centre, Oxford, United Kingdom
| | - Stephen J Mellon
- Nuffield Department of Orthopaedics, Rheumatology and Musculoskeletal Sciences (NDORMS), Oxford Orthopaedic Engineering Centre (OOEC), University of Oxford, Botnar Research Centre, Oxford, United Kingdom
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Sánchez E, de Vries E, Matthews D, van der Heide E, Janssen D. The effect of coating characteristics on implant-bone interface mechanics. J Biomech 2024; 163:111949. [PMID: 38281459 DOI: 10.1016/j.jbiomech.2024.111949] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/21/2023] [Revised: 12/04/2023] [Accepted: 01/10/2024] [Indexed: 01/30/2024]
Abstract
Successful osseointegration of press-fit implants depends on the initial stability, often measured by the micromotions between the implant and bone. A good primary stability can be achieved by optimizing the compressive and frictional forces acting at the bone-implant interface. The frictional properties of the implant-bone interface, which depend on the roughness and porosity of the implant surface coating, can affect the primary stability. Several reversible (elastic) and non-reversible (permanent) deformation processes take place during frictional loading of the implant-bone interface. In case of a rough coating, the asperities of the implant surface are compressed into the bone leading to mechanical interlocking. To optimize fixation of orthopaedic implants it is crucial to understand these complex interactions between coating and bone. The objective of the current study was to gain more insight into the reversible and non-reversible processes acting at the implant-bone interface. Tribological experiments were performed with two types of porous coatings against human cadaveric bone. The results indicated that the coefficient of friction depended on the coating roughness (0.86, 0.95, and 0.45 for an Ra roughness of 41.2, 53.0, and a polished surface, respectively). Larger elastic and permanent displacements were found for the rougher coating, resulting in a lower interface stiffness. The experiments furthermore revealed that relative displacements of up to 35 µm can occur without sliding at the interface. These findings have implications for micromotion thresholds that currently are assumed for osseointegration, and suggest that bone ingrowth actually occurs in the absence of relative sliding at the implant-bone interface.
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Affiliation(s)
- Esther Sánchez
- Radboud University Medical Center, Radboud Institute for Health Sciences, Orthopaedic Research Lab, Nijmegen, the Netherlands
| | - Erik de Vries
- University of Twente, Faculty of Engineering Technology, Laboratory for Surface Technology and Tribology, Enschede, the Netherlands
| | - David Matthews
- University of Twente, Faculty of Engineering Technology, Laboratory for Surface Technology and Tribology, Enschede, the Netherlands; Feng Chia University, Department of Materials Science & Engineering, Taiwan
| | - Emile van der Heide
- University of Twente, Faculty of Engineering Technology, Laboratory for Surface Technology and Tribology, Enschede, the Netherlands
| | - Dennis Janssen
- Radboud University Medical Center, Radboud Institute for Health Sciences, Orthopaedic Research Lab, Nijmegen, the Netherlands.
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Teeter MG, Broberg JS, Howard JL, Lanting BA. Axial and sagittal rotation of cementless tibial baseplates occurs in bone under joint loading. J Arthroplasty 2023; 38:1166-1171. [PMID: 36893992 DOI: 10.1016/j.arth.2023.03.002] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 01/11/2023] [Revised: 02/27/2023] [Accepted: 03/01/2023] [Indexed: 03/11/2023] Open
Abstract
INTRODUCTION There has been a recent increase in the use of cementless fixation for primary total knee arthroplasty (TKA). While the early results of contemporary cementless implants are promising, understanding the behavior of cementless tibial baseplates under loading remains an ongoing interest. The objective of this study was to identify the pattern of displacement that occurred under loading for a single cementless tibial baseplate design at one-year post-operation for stable and continuously migrating implants. METHODS There were 28 subjects from a previous trial of a pegged highly porous cementless tibial baseplate evaluated. Subjects underwent supine radiostereometric exams from two weeks through one year after surgery. At one year, subjects also underwent a standing radiostereometric exam. Fictive points on the tibial baseplate model were used to relate translations to anatomical locations. Migration over time was calculated to determine if subjects displayed stable or continuous migration. The magnitude of inducible displacement between the supine and standing exams was calculated. RESULTS Inducible displacement patterns were similar between stable and continuously migrating tibial baseplates. Displacements were greatest in the anterior-posterior axis followed by the lateral-medial axis. Correlation of displacements between adjacent fictive points in these axes indicated an axial rotation of the baseplate occurred under loading (r2 = 0.689-0.977, P< 0.001). Less displacement occurred in the superior-inferior axis and correlations indicated an anterior-posterior tilt of the baseplate occurred under loading (r2 = 0.178-0.226, P = 0.009-0.023). DISCUSSION From supine to standing position the predominant pattern of displacement for this cementless tibial baseplate was axial rotation, with some subjects also displaying an anterior-posterior tilt.
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Affiliation(s)
- Matthew G Teeter
- Department of Medical Biophysics, Schulich School of Medicine & Dentistry, Western University, London, ON, Canada; Department of Surgery, Schulich School of Medicine & Dentistry, Western University, London, ON, Canada; Imaging Group, Robarts Research Institute, Schulich School of Medicine & Dentistry, Western University, London, ON, Canada.
| | - Jordan S Broberg
- Department of Medical Biophysics, Schulich School of Medicine & Dentistry, Western University, London, ON, Canada; Imaging Group, Robarts Research Institute, Schulich School of Medicine & Dentistry, Western University, London, ON, Canada
| | - James L Howard
- Department of Surgery, Schulich School of Medicine & Dentistry, Western University, London, ON, Canada
| | - Brent A Lanting
- Department of Surgery, Schulich School of Medicine & Dentistry, Western University, London, ON, Canada
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Yang H, Bayoglu R, Clary CW, Rullkoetter PJ. Impact of patient, surgical, and implant design factors on predicted tray-bone interface micromotions in cementless total knee arthroplasty. J Orthop Res 2023; 41:115-129. [PMID: 35437819 DOI: 10.1002/jor.25344] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 11/01/2021] [Revised: 03/14/2022] [Accepted: 04/16/2022] [Indexed: 02/04/2023]
Abstract
Micromotion magnitudes exceeding 150 µm may prevent bone formation and limit fixation after cementless total knee arthroplasty (TKA). Many factors influence the tray-bone interface micromotion but the critical parameters and sensitivities are less clear. In this study, we assessed the impacts of surgical (tray alignment, tibial coverage, and resection surface preparation), patient (bone properties and tibiofemoral kinematics), and implant design (tray feature and surface friction) factors on tray-bone interface micromotions during a series of activities of daily living. Micromotion was estimated via three previously validated implant-bone finite element models and tested under gait, deep knee bending, and stair descent loads. Overall, the average micromotion across the tray-bone cementless contact interface ranged from 9.3 to 111.4 µm, and peak micromotion was consistently found along the anterior tray edge. Maximizing tibial coverage above a properly sized tibial tray (an average of 12.3% additional area) had minimal impact on micromotion. A 1 mm anterior tray alignment change reduced the average micromotion by an average of 16.1%. Two-degree tibial angular resection errors reduced the area for bone ingrowth up to 48.1%. Differences on average micromotion from ±25% changes in bone moduli were up to 75.5%. A more posterior tibiofemoral contact due to additional 100 N posterior force resulted in an average of 79.3% increase on average micromotion. Overall, careful surgical technique, patient selection, and controlling kinematics through articular design all contribute meaningfully to minimizing micromotion in cementless TKA, with centralizing the load transfer to minimize the resulting moment at the anterior tray perimeter a consistent theme.
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Affiliation(s)
- Huizhou Yang
- Center for Orthopaedic Biomechanics, University of Denver, Denver, Colorado, USA
| | - Riza Bayoglu
- Center for Orthopaedic Biomechanics, University of Denver, Denver, Colorado, USA
| | - Chadd W Clary
- Center for Orthopaedic Biomechanics, University of Denver, Denver, Colorado, USA
| | - Paul J Rullkoetter
- Center for Orthopaedic Biomechanics, University of Denver, Denver, Colorado, USA
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Yang H, Behnam Y, Clary C, Rullkoetter PJ. Drivers of initial stability in cementless TKA: Isolating effects of tibiofemoral conformity and fixation features. J Mech Behav Biomed Mater 2022; 136:105507. [PMID: 36209592 DOI: 10.1016/j.jmbbm.2022.105507] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/21/2022] [Revised: 09/18/2022] [Accepted: 10/01/2022] [Indexed: 11/06/2022]
Abstract
The initial fixation of cementless tibial trays after total knee arthroplasty is critical to ensure bony ingrowth and long-term fixation. Various fixed-bearing implant designs that utilize different fixation features, surface coatings, and bony preparations to facilitate this initial stability are currently used clinically. However, the role of tibiofemoral conformity and the effect of different tray fixation features on initial stability are still unclear. This study assessed the implant stability of two TKA designs during a series of simulated daily activities including experimental testing and corresponding computational models. Tray-bone interface micromotions and the porous area ideal for bone ingrowth were investigated computationally and compared between the two designs. The isolated effect of femoral-insert conformity and fixation features on the micromotion was examined separately by virtually exchanging design features. The peak interface micromotions predicted were at least 47% different for the two designs, which was a combined result of different femoral-insert conformity (contributed 79% of the micromotion difference) and fixation features (21%). A more posterior femoral-insert contact due to lower tibiofemoral conformity in a force-controlled simulation significantly increased the micromotion and reduced the surface area ideal for bone ingrowth. The maximum difference in peak micromotions caused by only changing the fixation features was up to 33%. Overall, the moment arm from the insert articular contact point to the anterolateral tray perimeter was the primary factor correlated to peak and average micromotion. Our results indicated that tray-bone micromotion could be minimized by centralizing the load transfer and optimizing the fixation features.
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Affiliation(s)
- Huizhou Yang
- Center for Orthopaedic Biomechanics, University of Denver, Denver, CO, 80208, USA.
| | - Yashar Behnam
- Center for Orthopaedic Biomechanics, University of Denver, Denver, CO, 80208, USA
| | - Chadd Clary
- Center for Orthopaedic Biomechanics, University of Denver, Denver, CO, 80208, USA
| | - Paul J Rullkoetter
- Center for Orthopaedic Biomechanics, University of Denver, Denver, CO, 80208, USA.
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Anijs T, Wolfson D, Mercer A, Rock M, Verdonschot N, Janssen D. Experimental measurements of femoral primary stability in two cementless posterior-stabilized knee replacement implants. Med Eng Phys 2022; 99:103734. [DOI: 10.1016/j.medengphy.2021.103734] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/24/2021] [Revised: 11/26/2021] [Accepted: 12/01/2021] [Indexed: 11/16/2022]
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Loi I, Stanev D, Moustakas K. Total Knee Replacement: Subject-Specific Modeling, Finite Element Analysis, and Evaluation of Dynamic Activities. Front Bioeng Biotechnol 2021; 9:648356. [PMID: 33937216 PMCID: PMC8085535 DOI: 10.3389/fbioe.2021.648356] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/31/2020] [Accepted: 02/23/2021] [Indexed: 11/24/2022] Open
Abstract
This study presents a semi-automatic framework to create subject-specific total knee replacement finite element models, which can be used to analyze locomotion patterns and evaluate knee dynamics. In recent years, much scientific attention was attracted to pre-clinical optimization of customized total knee replacement operations through computational modeling to minimize post-operational adverse effects. However, the time-consuming and laborious process of developing a subject-specific finite element model poses an obstacle to the latter. One of this work's main goals is to automate the finite element model development process, which speeds up the proposed framework and makes it viable for practical applications. This pipeline's reliability was ratified by developing and validating a subject-specific total knee replacement model based on the 6th SimTK Grand Challenge data set. The model was validated by analyzing contact pressures on the tibial insert in relation to the patient's gait and analysis of tibial contact forces, which were found to be in accordance with the ones provided by the Grand Challenge data set. Subsequently, a sensitivity analysis was carried out to assess the influence of modeling choices on tibial insert's contact pressures and determine possible uncertainties on the models produced by the framework. Parameters, such as the position of ligament origin points, ligament stiffness, reference strain, and implant-bone alignment were used for the sensitivity study. Notably, it was found that changes in the alignment of the femoral component in reference to the knee bones significantly affect the load distribution at the tibiofemoral joint, with an increase of 206.48% to be observed at contact pressures during 5° internal rotation. Overall, the models produced by this pipeline can be further used to optimize and personalize surgery by evaluating the best surgical parameters in a simulated manner before the actual surgery.
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Affiliation(s)
- Iliana Loi
- Department of Electrical and Computer Engineering, University of Patras, Patras, Greece
| | - Dimitar Stanev
- Department of Electrical and Computer Engineering, University of Patras, Patras, Greece.,School of Engineering, Institute of Bioengineering, École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland
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Sánchez E, Schilling C, Grupp TM, Giurea A, Verdonschot N, Janssen D. No effect in primary stability after increasing interference fit in cementless TKA tibial components. J Mech Behav Biomed Mater 2021; 118:104435. [PMID: 33721771 DOI: 10.1016/j.jmbbm.2021.104435] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/18/2020] [Revised: 02/15/2021] [Accepted: 02/26/2021] [Indexed: 11/25/2022]
Abstract
Cementless total knee arthroplasty (TKA) implants rely on interference fit to achieve initial stability. However, the optimal interference fit is unknown. This study investigates the effect of using different interference fit on the initial stability of tibial TKA implants. Experiments were performed on human cadaveric tibias using a low interference fit of 350 μm of a clinically established cementless porous-coated tibial implant and a high interference fit of 700 μm. The Orthoload peak loads of gait and squat were applied to the specimens with a custom-made load applicator. Micromotions and gaps opening/closing were measured at the bone-implant interface using Digital Image Correlation (DIC) in 6 regions of interest (ROIs). Two multilevel linear mixed-effect models were created with micromotions and gaps as dependent variables. The results revealed no significant differences for micromotions between the two interference fits (gait p = 0.755, squat p = 0.232), nor for gaps opening/closing (gait p = 0.474, squat p = 0.269). In contrast, significant differences were found for the ROIs in the two dependent variables (p < 0.001), where more gap closing was seen in the posterior ROIs than in the anterior ROIs during both loading configurations. This study showed that increasing the interference fit from 350 to 700 μm did not influence initial stability.
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Affiliation(s)
- Esther Sánchez
- Radboud University Medical Center, Radboud Institute for Health Sciences, Orthopaedic Research Lab, Nijmegen, the Netherlands.
| | | | - Thomas M Grupp
- Aesculap AG, Research & Development, Tuttlingen, Germany; Ludwig Maximilians University Munich, Department of Orthopaedic Surgery, Physical Medicine & Rehabilitation, Campus Grosshadern, Munich, Germany
| | - Alexander Giurea
- Medical University of Vienna, Department of Orthopedics, Vienna, Austria
| | - Nico Verdonschot
- Radboud University Medical Center, Radboud Institute for Health Sciences, Orthopaedic Research Lab, Nijmegen, the Netherlands; University of Twente, Laboratory for Biomechanical Engineering, Faculty of Engineering Technology, Enschede, the Netherlands
| | - Dennis Janssen
- Radboud University Medical Center, Radboud Institute for Health Sciences, Orthopaedic Research Lab, Nijmegen, the Netherlands
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Yang H, Bayoglu R, Clary CW, Rullkoetter PJ. Impact of surgical alignment, tray material, PCL condition, and patient anatomy on tibial strains after TKA. Med Eng Phys 2021; 88:69-77. [PMID: 33485516 DOI: 10.1016/j.medengphy.2021.01.001] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/06/2020] [Revised: 12/04/2020] [Accepted: 01/05/2021] [Indexed: 10/22/2022]
Abstract
Bone remodeling after total knee arthroplasty is regulated by the changes in strain energy density (SED), however, the critical parameters influencing post-operative SED distributions are not fully understood. This study aimed to investigate the impact of surgical alignment, tray material properties, posterior cruciate ligament (PCL) balance, tray posterior slope, and patient anatomy on SED distributions in the proximal tibia. Finite element models of two tibiae (different anatomy) with configurations of two implant materials, two surgical alignments, two posterior slopes, and two PCL conditions were developed. The models were tested under the peak loading conditions during gait, deep knee bending, and stair descent. For each configuration, the contact forces and locations and soft-tissue loads of interest were taken into consideration. SED in the proximal tibia was predicted and the changes in strain distributions were compared for each of the factors studied. Tibial anatomy had the most impact on the proximal bone SED distributions, followed by PCL balancing, surgical alignment, and posterior slope. In addition, the thickness of the remaining cortical wall after implantation was also a significant consideration when evaluating tibial anatomy. The resulting SED changes for alignment, posterior slope, and PCL factors were mainly due to the differences in joint and soft-tissue loading conditions. A lower modulus tray material did result in changes in the post-operative strain state, however, these were almost negligible compared to that seen for the other factors.
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Affiliation(s)
- Huizhou Yang
- Center for Orthopaedic Biomechanics, University of Denver, 2155 E. Wesley Ave., Denver, CO 80208, USA
| | - Riza Bayoglu
- Center for Orthopaedic Biomechanics, University of Denver, 2155 E. Wesley Ave., Denver, CO 80208, USA
| | - Chadd W Clary
- Center for Orthopaedic Biomechanics, University of Denver, 2155 E. Wesley Ave., Denver, CO 80208, USA
| | - Paul J Rullkoetter
- Center for Orthopaedic Biomechanics, University of Denver, 2155 E. Wesley Ave., Denver, CO 80208, USA.
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