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Watanabe H, Murase K, Kim D, Matsumoto T, Majima T. A posterior tibial slope angle over 12 degrees is critical to epiphyseal fracture of the proximal tibia: Three-dimensional finite element analysis. Heliyon 2023; 9:e18854. [PMID: 37593627 PMCID: PMC10428038 DOI: 10.1016/j.heliyon.2023.e18854] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/25/2023] [Revised: 07/27/2023] [Accepted: 07/31/2023] [Indexed: 08/19/2023] Open
Abstract
Introduction The effects of the proximal tibial slope angle on the proximal tibial epiphysis remain unknown. To elucidate those effects, we investigated the strain distribution in proximal tibial epiphysis with different proximal tibial slope angles and proximal tibial epiphysis closure periods using finite element analysis. Materials and methods The finite element models of the proximal tibia were reconstructed from CT images and consisted of cancellous/cortical bone and epiphyseal plate. The variations in proximal tibial slope angle (range: 6-16°) and four closure variations in proximal tibial epiphysis (open, semi-open, semi-closed, and closed) were prepared. The loading force on the medial and lateral joint surface, and the tensile force by the patellar tendon were applied to the models, and the distal area of the tibia was fixed. The ratio of the equivalent strain in semi-open/semi-closed proximal tibial epiphysis to the strain in open proximal tibial epiphysis on different proximal tibial slope angles were calculated. Results The strain ratio between the semi-open/semi-closed and open proximal tibial epiphysis models indicated significant differences between 6 or 8° of proximal tibial slope angle and 12, 14, and 16° of proximal tibial slope angle models. In the increased proximal tibial slope angle model, a hoop-shaped strain in the closing proximal tibial epiphysis was found, and the maximum strain was found in the tibial tubercle. Discussion During epiphyseal closure, adolescents with an increased proximal tibial slope angle over 12° are significantly at risk for suffering from proximal tibial epiphyseal fractures compared with those under 10°.
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Affiliation(s)
- Hiroshi Watanabe
- Department of Orthopaedic Surgery, Nippon Medical School, Musashi Kosugi Hospital, Japan
- Department of Orthopaedic Surgery, Nippon Medical School, Japan
| | - Kohei Murase
- Graduate School of Engineering Science, Osaka University, Japan
| | - DongWook Kim
- Department of Mechanical and Aerospace Engineering, Faculty of Engineering, Nagoya University, Japan
| | - Takeo Matsumoto
- Department of Mechanical and Aerospace Engineering, Faculty of Engineering, Nagoya University, Japan
| | - Tokifumi Majima
- Department of Orthopaedic Surgery, Nippon Medical School, Japan
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2
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Saghaei Z, Hashemi A. Homogeneous material models can overestimate stresses in high tibial osteotomy: A finite element analysis. Proc Inst Mech Eng H 2023; 237:224-232. [PMID: 36598138 DOI: 10.1177/09544119221144811] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/05/2023]
Abstract
Although widely used numerical models can assess the stability of lateral hinges in high tibial osteotomy (HTO) and may provide acceptable results in comparative studies, accurate stress prediction may not be possible due to simplified homogeneous models of the bone. The present study aimed to investigate the effect of a heterogeneous versus four homogeneous models on the results of stress and force. Each of the four homogenized FE models utilized the same elastic modulus of 16,700 MPa for the cortical while employing a single elastic modulus varying from 155 to 5000 MPa for the cancellous. In heterogeneous model, the modulus of each element was assigned using the bone density. It was found that stresses at the hinge in homogeneous models were higher than those in the heterogeneous model. The maximum principal stress (MPS) was 437 MPa for the heterogeneous model while that was 2179, 2351, 2581, and 2637 MPa for the homogeneous models with the elastic moduli of 155, 500, 2130, and 5000 MPa, respectively. Also, the opening force was 150 N for the heterogeneous model significantly lower than 649-1534 N range predicted for the homogeneous models. The use of a homogeneous model in the FE analysis of HTO overestimated the stresses and force. Thus, in addition to casting doubt on the use of a single modulus in the numerical analysis of HTO, Future HTO studies can use our results as a benchmark for comparison purposes and highlight the use of patient-specific bone density - elastic modulus relation in simulation.
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Affiliation(s)
- Zahra Saghaei
- Department of Biomedical Engineering, Amirkabir University of Technology, Hafez Avenue, Tehran, Iran
| | - Ata Hashemi
- Department of Biomedical Engineering, Amirkabir University of Technology, Hafez Avenue, Tehran, Iran
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3
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Aubert K, Germaneau A, Rochette M, Ye W, Severyns M, Billot M, Rigoard P, Vendeuvre T. Development of Digital Twins to Optimize Trauma Surgery and Postoperative Management. A Case Study Focusing on Tibial Plateau Fracture. Front Bioeng Biotechnol 2021; 9:722275. [PMID: 34692655 PMCID: PMC8529153 DOI: 10.3389/fbioe.2021.722275] [Citation(s) in RCA: 16] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/08/2021] [Accepted: 09/06/2021] [Indexed: 11/20/2022] Open
Abstract
Background and context: Surgical procedures are evolving toward less invasive and more tailored approaches to consider the specific pathology, morphology, and life habits of a patient. However, these new surgical methods require thorough preoperative planning and an advanced understanding of biomechanical behaviors. In this sense, patient-specific modeling is developing in the form of digital twins to help personalized clinical decision-making. Purpose: This study presents a patient-specific finite element model approach, focusing on tibial plateau fractures, to enhance biomechanical knowledge to optimize surgical trauma procedures and improve decision-making in postoperative management. Study design: This is a level 5 study. Methods: We used a postoperative 3D X-ray image of a patient who suffered from depression and separation of the lateral tibial plateau. The surgeon stabilized the fracture with polymethyl methacrylate cement injection and bi-cortical screw osteosynthesis. A digital twin of the patient’s fracture was created by segmentation. From the digital twin, four stabilization methods were modeled including two screw lengths, whether or not, to inject PMMA cement. The four stabilization methods were associated with three bone healing conditions resulting in twelve scenarios. Mechanical strength, stress distribution, interfragmentary strains, and fragment kinematics were assessed by applying the maximum load during gait. Repeated fracture risks were evaluated regarding to the volume of bone with stress above the local yield strength and regarding to the interfragmentary strains. Results: Stress distribution analysis highlighted the mechanical contribution of cement injection and the favorable mechanical response of uni-cortical screw compared to bi-cortical screw. Evaluation of repeated fracture risks for this clinical case showed fracture instability for two of the twelve simulated scenarios. Conclusion: This study presents a patient-specific finite element modeling workflow to assess the biomechanical behaviors associated with different stabilization methods of tibial plateau fractures. Strength and interfragmentary strains were evaluated to quantify the mechanical effects of surgical procedures. We evaluate repeated fracture risks and provide data for postoperative management.
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Affiliation(s)
- Kévin Aubert
- Institut Pprime UPR 3346, CNRS - Université de Poitiers - ISAE-ENSMA, Poitiers, France.,Ansys France, Villeurbanne, France
| | - Arnaud Germaneau
- Institut Pprime UPR 3346, CNRS - Université de Poitiers - ISAE-ENSMA, Poitiers, France
| | | | | | - Mathieu Severyns
- Department of Orthopedic and Trauma Surgery at the University Hospital Center of Fort-de-France, Fort-de-France, France
| | - Maxime Billot
- PRISMATICS Lab (Predictive Research in Spine/Neuromodulation Management and Thoracic Innovation/Cardiac Surgery), Poitiers University Hospital, Poitiers, France
| | - Philippe Rigoard
- Institut Pprime UPR 3346, CNRS - Université de Poitiers - ISAE-ENSMA, Poitiers, France.,PRISMATICS Lab (Predictive Research in Spine/Neuromodulation Management and Thoracic Innovation/Cardiac Surgery), Poitiers University Hospital, Poitiers, France.,Department of Spine Surgery and Neuromodulation, Poitiers University Hospital, Poitiers, France
| | - Tanguy Vendeuvre
- Institut Pprime UPR 3346, CNRS - Université de Poitiers - ISAE-ENSMA, Poitiers, France.,PRISMATICS Lab (Predictive Research in Spine/Neuromodulation Management and Thoracic Innovation/Cardiac Surgery), Poitiers University Hospital, Poitiers, France.,Department of Spine Surgery and Neuromodulation, Poitiers University Hospital, Poitiers, France.,Department of Orthopedic Surgery and Traumatology, Poitiers University Hospital, Poitiers, France
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MacLeod AR, Peckham N, Serrancolí G, Rombach I, Hourigan P, Mandalia VI, Toms AD, Fregly BJ, Gill HS. Personalised high tibial osteotomy has mechanical safety equivalent to generic device in a case-control in silico clinical trial. COMMUNICATIONS MEDICINE 2021; 1:6. [PMID: 35602226 PMCID: PMC9053187 DOI: 10.1038/s43856-021-00001-7] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/13/2020] [Accepted: 04/23/2021] [Indexed: 02/07/2023] Open
Abstract
Background Despite favourable outcomes relatively few surgeons offer high tibial osteotomy (HTO) as a treatment option for early knee osteoarthritis, mainly due to the difficulty of achieving planned correction and reported soft tissue irritation around the plate used to stablise the osteotomy. To compare the mechanical safety of a new personalised 3D printed high tibial osteotomy (HTO) device, created to overcome these issues, with an existing generic device, a case-control in silico virtual clinical trial was conducted. Methods Twenty-eight knee osteoarthritis patients underwent computed tomography (CT) scanning to create a virtual cohort; the cohort was duplicated to form two arms, Generic and Personalised, on which virtual HTO was performed. Finite element analysis was performed to calculate the stresses in the plates arising from simulated physiological activities at three healing stages. The odds ratio indicative of the relative risk of fatigue failure of the HTO plates between the personalised and generic arms was obtained from a multi-level logistic model. Results Here we show, at 12 weeks post-surgery, the odds ratio indicative of the relative risk of fatigue failure was 0.14 (95%CI 0.01 to 2.73, p = 0.20). Conclusions This novel (to the best of our knowledge) in silico trial, comparing the mechanical safety of a new personalised 3D printed high tibial osteotomy device with an existing generic device, shows that there is no increased risk of failure for the new personalised design compared to the existing generic commonly used device. Personalised high tibial osteotomy can overcome the main technical barriers for this type of surgery, our findings support the case for using this technology for treating early knee osteoarthritis.
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Affiliation(s)
| | - Nicholas Peckham
- Oxford Clinical Trials Research Unit, NDORMS, University of Oxford, Oxford, UK
| | - Gil Serrancolí
- Department of Mechanical Engineering, Polytechnic University of Catalonia, Barcelona, Catalunya Spain
| | - Ines Rombach
- Oxford Clinical Trials Research Unit, NDORMS, University of Oxford, Oxford, UK
| | | | | | | | | | - Harinderjit S. Gill
- Department of Mechanical Engineering, University of Bath, Bath, UK
- Centre for Therapeutic Innovation, University of Bath, Bath, UK
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5
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QCT-FE modeling of the proximal tibia: Effect of mapping strategy on convergence time and model accuracy. Med Eng Phys 2021; 88:41-46. [PMID: 33485512 DOI: 10.1016/j.medengphy.2020.12.006] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/10/2019] [Revised: 12/04/2020] [Accepted: 12/22/2020] [Indexed: 11/21/2022]
Abstract
Quantitative computed tomography (QCT) based finite element (FE) modeling, referred to as QCT-FE, has seen rapid growth and application for modeling bone mechanics. With this approach, varying bone material properties are set via experimentally-derived density-modulus equations. One challenge though associated with QCT-FE is to identify the appropriate mapping strategy for assigning elastic moduli to elements. The goal of this study was to evaluate different QCT-FE mapping strategies to identify the optimum approach with fastest convergence rate and highest accuracy. Four proximal tibial medial compartments were imaged using QCT and experimentally tested to characterize proximal tibial subchondral bone stiffness at four surface points, resulting in a total of 16 indentation measures. Three material mapping methods were analyzed: (1) constant-E where an average elastic modulus was assigned to each element; (2) node-based where the material properties were first mapped on nodes then interpolated to Gaussian integration points; and (3) element-based in which the material properties were directly assigned to Gaussian integration points. Different element sizes were assessed with edge-lengths ranging from 0.9 to 3 mm. Results indicated that all converged models showed similar coefficient-of-determination (R2) and normalized root-mean-square errors (RMSE%). Though, the constant-E and node-based methods converged with the element edge-length of 1.5 mm (prediction error of 4.8% and 2.5%, respectively) whereas the element-based method converged with a larger element having an edge-length 2.5 mm (error = 4.9%). In conclusion, the element-based method, with a larger element size, resulted in similar predictive accuracy, faster convergence and shorter run-times relative to the constant-E and node-based approaches. As such, we recommend the element-based method for future subject-specific QCT-FE modeling.
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6
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Mukherjee S, Nazemi M, Jonkers I, Geris L. Use of Computational Modeling to Study Joint Degeneration: A Review. Front Bioeng Biotechnol 2020; 8:93. [PMID: 32185167 PMCID: PMC7058554 DOI: 10.3389/fbioe.2020.00093] [Citation(s) in RCA: 22] [Impact Index Per Article: 5.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/25/2019] [Accepted: 01/31/2020] [Indexed: 12/13/2022] Open
Abstract
Osteoarthritis (OA), a degenerative joint disease, is the most common chronic condition of the joints, which cannot be prevented effectively. Computational modeling of joint degradation allows to estimate the patient-specific progression of OA, which can aid clinicians to estimate the most suitable time window for surgical intervention in osteoarthritic patients. This paper gives an overview of the different approaches used to model different aspects of joint degeneration, thereby focusing mostly on the knee joint. The paper starts by discussing how OA affects the different components of the joint and how these are accounted for in the models. Subsequently, it discusses the different modeling approaches that can be used to answer questions related to OA etiology, progression and treatment. These models are ordered based on their underlying assumptions and technologies: musculoskeletal models, Finite Element models, (gene) regulatory models, multiscale models and data-driven models (artificial intelligence/machine learning). Finally, it is concluded that in the future, efforts should be made to integrate the different modeling techniques into a more robust computational framework that should not only be efficient to predict OA progression but also easily allow a patient’s individualized risk assessment as screening tool for use in clinical practice.
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Affiliation(s)
- Satanik Mukherjee
- Prometheus, Division of Skeletal Tissue Engineering, KU Leuven, Leuven, Belgium.,Biomechanics Section, KU Leuven, Leuven, Belgium
| | - Majid Nazemi
- GIGA in silico Medicine, University of Liège, Liège, Belgium
| | - Ilse Jonkers
- Human Movement Biomechanics Research Group, Department of Movement Sciences, KU Leuven, Leuven, Belgium
| | - Liesbet Geris
- Prometheus, Division of Skeletal Tissue Engineering, KU Leuven, Leuven, Belgium.,Biomechanics Section, KU Leuven, Leuven, Belgium.,GIGA in silico Medicine, University of Liège, Liège, Belgium
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7
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Kalajahi SMH, Nazemi SM, Johnston JD. An exclusion approach for addressing partial volume artifacts with quantititive computed tomography-based finite element modeling of the proximal tibia. Med Eng Phys 2019; 76:95-100. [PMID: 31870545 DOI: 10.1016/j.medengphy.2019.10.013] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/25/2018] [Revised: 10/14/2019] [Accepted: 10/20/2019] [Indexed: 10/25/2022]
Abstract
INTRODUCTION Quantitative computed tomography based finite element modeling (QCT-FE) has potential to clarify the role of subchondral bone stiffness in osteoarthritis. The limited spatial resolution of clinical QCT systems, however, results in partial volume (PV) artifacts and low contrast between cortical and trabecular bone, which adversely affects the accuracy of QCT-FE models. The objective of this research was to evaluate the agreement between stiffness predictions offered by QCT-FE models of proximal tibial subchondral bone (constructed with and without a new voxel-exclusion algorithm) with experimentally-derived local subchondral bone structural stiffness. METHODS Thirteen proximal tibial compartments were obtained and imaged using QCT. Two types of QCT-FE models were developed: (1) standard model, which employed the standard procedure for QCT-FE modeling; and (2) "voxel exclusion (VE)" model, which addressed PV artifacts by excluding low density voxels during the material mapping stage of construction. We assessed agreement between QCT-FE stiffness estimates (using standard and VE approaches) with experimental stiffness by reporting predicted variance from linear regression and mean bias with 95% Limits of Agreement (LOA). RESULTS The standard and VE models explained 81% and 84% of the variance in experimentally measured stiffness, respectively. The standard model showed a mean bias of -268 N/mm (LOA -1210 to 679 N/mm); the VE model showed a mean bias of +59 N/mm (LOA -762 to 910 N/mm). INTERPRETATION The VE model explained more variance in subchondral bone stiffness with less bias. Our findings indicate that the VE method has potential to improve QCT-FE models of bone affected by PV artifacts.
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Affiliation(s)
| | - S Majid Nazemi
- Biomechanics Research Unit, GIGA In Silico Medicine, University of Liège, Liège, Belgium
| | - James D Johnston
- Department of Mechanical Engineering, University of Saskatchewan, Saskatoon, Canada.
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8
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Alcântara ACS, Assis I, Prada D, Mehle K, Schwan S, Costa-Paiva L, Skaf MS, Wrobel LC, Sollero P. Patient-Specific Bone Multiscale Modelling, Fracture Simulation and Risk Analysis-A Survey. MATERIALS (BASEL, SWITZERLAND) 2019; 13:E106. [PMID: 31878356 PMCID: PMC6981613 DOI: 10.3390/ma13010106] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 11/13/2019] [Revised: 12/16/2019] [Accepted: 12/17/2019] [Indexed: 12/26/2022]
Abstract
This paper provides a starting point for researchers and practitioners from biology, medicine, physics and engineering who can benefit from an up-to-date literature survey on patient-specific bone fracture modelling, simulation and risk analysis. This survey hints at a framework for devising realistic patient-specific bone fracture simulations. This paper has 18 sections: Section 1 presents the main interested parties; Section 2 explains the organzation of the text; Section 3 motivates further work on patient-specific bone fracture simulation; Section 4 motivates this survey; Section 5 concerns the collection of bibliographical references; Section 6 motivates the physico-mathematical approach to bone fracture; Section 7 presents the modelling of bone as a continuum; Section 8 categorizes the surveyed literature into a continuum mechanics framework; Section 9 concerns the computational modelling of bone geometry; Section 10 concerns the estimation of bone mechanical properties; Section 11 concerns the selection of boundary conditions representative of bone trauma; Section 12 concerns bone fracture simulation; Section 13 presents the multiscale structure of bone; Section 14 concerns the multiscale mathematical modelling of bone; Section 15 concerns the experimental validation of bone fracture simulations; Section 16 concerns bone fracture risk assessment. Lastly, glossaries for symbols, acronyms, and physico-mathematical terms are provided.
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Affiliation(s)
- Amadeus C. S. Alcântara
- Department of Computational Mechanics, School of Mechanical Engineering, University of Campinas—UNICAMP, Campinas, Sao Paulo 13083-860, Brazil; (A.C.S.A.); (D.P.)
| | - Israel Assis
- Department of Integrated Systems, School of Mechanical Engineering, University of Campinas—UNICAMP, Campinas, Sao Paulo 13083-860, Brazil;
| | - Daniel Prada
- Department of Computational Mechanics, School of Mechanical Engineering, University of Campinas—UNICAMP, Campinas, Sao Paulo 13083-860, Brazil; (A.C.S.A.); (D.P.)
| | - Konrad Mehle
- Department of Engineering and Natural Sciences, University of Applied Sciences Merseburg, 06217 Merseburg, Germany;
| | - Stefan Schwan
- Fraunhofer Institute for Microstructure of Materials and Systems IMWS, 06120 Halle/Saale, Germany;
| | - Lúcia Costa-Paiva
- Department of Obstetrics and Gynecology, School of Medical Sciences, University of Campinas—UNICAMP, Campinas, Sao Paulo 13083-887, Brazil;
| | - Munir S. Skaf
- Institute of Chemistry and Center for Computing in Engineering and Sciences, University of Campinas—UNICAMP, Campinas, Sao Paulo 13083-860, Brazil;
| | - Luiz C. Wrobel
- Institute of Materials and Manufacturing, Brunel University London, Uxbridge UB8 3PH, UK;
- Department of Civil and Environmental Engineering, Pontifical Catholic University of Rio de Janeiro, Rio de Janeiro 22451-900, Brazil
| | - Paulo Sollero
- Department of Computational Mechanics, School of Mechanical Engineering, University of Campinas—UNICAMP, Campinas, Sao Paulo 13083-860, Brazil; (A.C.S.A.); (D.P.)
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Hosseini Kalajahi SM, Nazemi SM, Johnston JD. Separate modeling of cortical and trabecular bone offers little improvement in FE predictions of local structural stiffness at the proximal tibia. Comput Methods Biomech Biomed Engin 2019; 22:1258-1268. [DOI: 10.1080/10255842.2019.1661386] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/15/2022]
Affiliation(s)
| | - S. Majid Nazemi
- Department of Mechanical Engineering, University of Saskatchewan, Saskatoon, Canada
| | - James D. Johnston
- Department of Mechanical Engineering, University of Saskatchewan, Saskatoon, Canada
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10
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Arjmand H, Nazemi M, Kontulainen SA, McLennan CE, Hunter DJ, Wilson DR, Johnston JD. Mechanical Metrics of the Proximal Tibia are Precise and Differentiate Osteoarthritic and Normal Knees: A Finite Element Study. Sci Rep 2018; 8:11478. [PMID: 30065276 PMCID: PMC6068127 DOI: 10.1038/s41598-018-29880-y] [Citation(s) in RCA: 12] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/26/2018] [Accepted: 07/14/2018] [Indexed: 11/28/2022] Open
Abstract
Our objective was to identify precise mechanical metrics of the proximal tibia which differentiated OA and normal knees. We developed subject-specific FE models for 14 participants (7 OA, 7 normal) who were imaged three times each for assessing precision (repeatability). We assessed various mechanical metrics (minimum principal and von Mises stress and strain as well as structural stiffness) across the proximal tibia for each subject. In vivo precision of these mechanical metrics was assessed using CV%RMS. We performed parametric and non-parametric statistical analyses and determined Cohen's d effect sizes to explore differences between OA and normal knees. For all FE-based mechanical metrics, average CV%RMS was less than 6%. Minimum principal stress was, on average, 75% higher in OA versus normal knees while minimum principal strain values did not differ. No difference was observed in structural stiffness. FE modeling could precisely quantify and differentiate mechanical metrics variations in normal and OA knees, in vivo. This study suggests that bone stress patterns may be important for understanding OA pathogenesis at the knee.
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Affiliation(s)
- Hanieh Arjmand
- Department of Mechanical Engineering, University of Saskatchewan, Saskatoon, SK, Canada
| | - Majid Nazemi
- Department of Mechanical Engineering, University of Saskatchewan, Saskatoon, SK, Canada
| | | | | | - David J Hunter
- Institute of Bone and Joint Research, Kolling Institute, University of Sydney and Rheumatology Department, Royal North Shore Hospital, Sydney, NSW, Australia
| | - David R Wilson
- Department of Orthopaedics and Centre for Hip Health and Mobility, University of British Columbia and Vancouver Coastal Health Research Institute, Vancouver, BC, Canada
| | - James D Johnston
- Department of Mechanical Engineering, University of Saskatchewan, Saskatoon, SK, Canada.
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11
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Belaid D, Vendeuvre T, Bouchoucha A, Brémand F, Brèque C, Rigoard P, Germaneau A. Utility of cement injection to stabilize split-depression tibial plateau fracture by minimally invasive methods: A finite element analysis. Clin Biomech (Bristol, Avon) 2018; 56:27-35. [PMID: 29777960 DOI: 10.1016/j.clinbiomech.2018.05.002] [Citation(s) in RCA: 20] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 12/05/2017] [Revised: 04/16/2018] [Accepted: 05/04/2018] [Indexed: 02/07/2023]
Abstract
BACKGROUND Treatment for fractures of the tibial plateau is in most cases carried out by stable fixation in order to allow early mobilization. Minimally invasive technologies such as tibioplasty or stabilization by locking plate, bone augmentation and cement filling (CF) have recently been used to treat this type of fracture. The aim of this paper was to determine the mechanical behavior of the tibial plateau by numerically modeling and by quantifying the mechanical effects on the tibia mechanical properties from injury healing. METHODS A personalized Finite Element (FE) model of the tibial plateau from a clinical case has been developed to analyze stress distribution in the tibial plateau stabilized by balloon osteoplasty and to determine the influence of the cement injected. Stress analysis was performed for different stages after surgery. FINDINGS Just after surgery, the maximum von Mises stresses obtained for the fractured tibia treated with and without CF were 134.9 MPa and 289.9 MPa respectively on the plate. Stress distribution showed an increase of values in the trabecular bone in the treated model with locking plate and CF and stress reduction in the cortical bone in the model treated with locking plate only. INTERPRETATION The computed results of stresses or displacements of the fractured models show that the cement filling of the tibial depression fracture may increase implant stability, and decrease the loss of depression reduction, while the presence of the cement in the healed model renders the load distribution uniform.
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Affiliation(s)
- D Belaid
- Department of Mechanical Engineering, Faculty of Technology Sciences, University of Mentouri Brothers - Constantine, P.O. Box 325, Ain-El-Bey Way, Constantine 25017, Algeria; Institut Pprime UPR 3346, CNRS - Université de Poitiers - ISAE-ENSMA, Poitiers, France
| | - T Vendeuvre
- Institut Pprime UPR 3346, CNRS - Université de Poitiers - ISAE-ENSMA, Poitiers, France; Department of Orthopaedic Surgery and Traumatology, CHU Poitiers, Poitiers, France; Spine & neuromodulation functional unit, Department of neurosurgery, CHU Poitiers, PRISMATICS Lab, Poitiers, France
| | - A Bouchoucha
- Department of Mechanical Engineering, Faculty of Technology Sciences, University of Mentouri Brothers - Constantine, P.O. Box 325, Ain-El-Bey Way, Constantine 25017, Algeria
| | - F Brémand
- Institut Pprime UPR 3346, CNRS - Université de Poitiers - ISAE-ENSMA, Poitiers, France
| | - C Brèque
- Institut Pprime UPR 3346, CNRS - Université de Poitiers - ISAE-ENSMA, Poitiers, France; ABS Lab, Université de Poitiers, France
| | - P Rigoard
- Institut Pprime UPR 3346, CNRS - Université de Poitiers - ISAE-ENSMA, Poitiers, France; Spine & neuromodulation functional unit, Department of neurosurgery, CHU Poitiers, PRISMATICS Lab, Poitiers, France
| | - A Germaneau
- Institut Pprime UPR 3346, CNRS - Université de Poitiers - ISAE-ENSMA, Poitiers, France.
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12
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Yang WT, Wang DM, Hu J. The Influence of Bone Modulus-density Relationships on Two-dimensional Human Proximal Femur Remodeling Results. J Med Biol Eng 2017. [DOI: 10.1007/s40846-017-0323-4] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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13
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Fung A, Loundagin LL, Edwards WB. Experimental validation of finite element predicted bone strain in the human metatarsal. J Biomech 2017; 60:22-29. [DOI: 10.1016/j.jbiomech.2017.06.010] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/06/2017] [Revised: 06/04/2017] [Accepted: 06/06/2017] [Indexed: 11/25/2022]
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14
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Nazemi SM, Kalajahi SMH, Cooper DML, Kontulainen SA, Holdsworth DW, Masri BA, Wilson DR, Johnston JD. Accounting for spatial variation of trabecular anisotropy with subject-specific finite element modeling moderately improves predictions of local subchondral bone stiffness at the proximal tibia. J Biomech 2017; 59:101-108. [PMID: 28601243 DOI: 10.1016/j.jbiomech.2017.05.018] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/14/2016] [Revised: 04/20/2017] [Accepted: 05/23/2017] [Indexed: 10/19/2022]
Abstract
INTRODUCTION Previously, a finite element (FE) model of the proximal tibia was developed and validated against experimentally measured local subchondral stiffness. This model indicated modest predictions of stiffness (R2=0.77, normalized root mean squared error (RMSE%)=16.6%). Trabecular bone though was modeled with isotropic material properties despite its orthotropic anisotropy. The objective of this study was to identify the anisotropic FE modeling approach which best predicted (with largest explained variance and least amount of error) local subchondral bone stiffness at the proximal tibia. METHODS Local stiffness was measured at the subchondral surface of 13 medial/lateral tibial compartments using in situ macro indentation testing. An FE model of each specimen was generated assuming uniform anisotropy with 14 different combinations of cortical- and tibial-specific density-modulus relationships taken from the literature. Two FE models of each specimen were also generated which accounted for the spatial variation of trabecular bone anisotropy directly from clinical CT images using grey-level structure tensor and Cowin's fabric-elasticity equations. Stiffness was calculated using FE and compared to measured stiffness in terms of R2 and RMSE%. RESULTS The uniform anisotropic FE model explained 53-74% of the measured stiffness variance, with RMSE% ranging from 12.4 to 245.3%. The models which accounted for spatial variation of trabecular bone anisotropy predicted 76-79% of the variance in stiffness with RMSE% being 11.2-11.5%. CONCLUSIONS Of the 16 evaluated finite element models in this study, the combination of Synder and Schneider (for cortical bone) and Cowin's fabric-elasticity equations (for trabecular bone) best predicted local subchondral bone stiffness.
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Affiliation(s)
- S Majid Nazemi
- Department of Mechanical Engineering, University of Saskatchewan, Saskatoon, Canada.
| | | | - David M L Cooper
- Department of Anatomy and Cell Biology, University of Saskatchewan, Saskatoon, Canada
| | | | | | - Bassam A Masri
- Department of Orthopedics and Centre for Hip Health and Mobility, University of British Columbia, Vancouver, BC, Canada
| | - David R Wilson
- Department of Orthopedics and Centre for Hip Health and Mobility, University of British Columbia, Vancouver, BC, Canada
| | - James D Johnston
- Department of Mechanical Engineering, University of Saskatchewan, Saskatoon, Canada.
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15
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Nazemi SM, Amini M, Kontulainen SA, Milner JS, Holdsworth DW, Masri BA, Wilson DR, Johnston JD. Optimizing finite element predictions of local subchondral bone structural stiffness using neural network-derived density-modulus relationships for proximal tibial subchondral cortical and trabecular bone. Clin Biomech (Bristol, Avon) 2017; 41:1-8. [PMID: 27842233 DOI: 10.1016/j.clinbiomech.2016.10.012] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 10/19/2015] [Revised: 10/19/2016] [Accepted: 10/25/2016] [Indexed: 02/07/2023]
Abstract
BACKGROUND Quantitative computed tomography based subject-specific finite element modeling has potential to clarify the role of subchondral bone alterations in knee osteoarthritis initiation, progression, and pain. However, it is unclear what density-modulus equation(s) should be applied with subchondral cortical and subchondral trabecular bone when constructing finite element models of the tibia. Using a novel approach applying neural networks, optimization, and back-calculation against in situ experimental testing results, the objective of this study was to identify subchondral-specific equations that optimized finite element predictions of local structural stiffness at the proximal tibial subchondral surface. METHODS Thirteen proximal tibial compartments were imaged via quantitative computed tomography. Imaged bone mineral density was converted to elastic moduli using multiple density-modulus equations (93 total variations) then mapped to corresponding finite element models. For each variation, root mean squared error was calculated between finite element prediction and in situ measured stiffness at 47 indentation sites. Resulting errors were used to train an artificial neural network, which provided an unlimited number of model variations, with corresponding error, for predicting stiffness at the subchondral bone surface. Nelder-Mead optimization was used to identify optimum density-modulus equations for predicting stiffness. FINDINGS Finite element modeling predicted 81% of experimental stiffness variance (with 10.5% error) using optimized equations for subchondral cortical and trabecular bone differentiated with a 0.5g/cm3 density. INTERPRETATION In comparison with published density-modulus relationships, optimized equations offered improved predictions of local subchondral structural stiffness. Further research is needed with anisotropy inclusion, a smaller voxel size and de-blurring algorithms to improve predictions.
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Affiliation(s)
- S Majid Nazemi
- Department of Mechanical Engineering, University of Saskatchewan, Saskatoon, Canada.
| | - Morteza Amini
- Institute for Lightweight Design and Structural Biomechanics, Vienna University of Technology, Vienna, Austria
| | | | - Jaques S Milner
- Robarts Research Institute, Western University, London, Canada
| | | | - Bassam A Masri
- Department of Orthopaedics, University of British Columbia, Centre for Hip Health and Mobility, Vancouver, Canada
| | - David R Wilson
- Department of Orthopaedics, University of British Columbia, Centre for Hip Health and Mobility, Vancouver, Canada
| | - James D Johnston
- Department of Mechanical Engineering, University of Saskatchewan, Saskatoon, Canada.
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16
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Knowles NK, Reeves JM, Ferreira LM. Quantitative Computed Tomography (QCT) derived Bone Mineral Density (BMD) in finite element studies: a review of the literature. J Exp Orthop 2016; 3:36. [PMID: 27943224 PMCID: PMC5234499 DOI: 10.1186/s40634-016-0072-2] [Citation(s) in RCA: 60] [Impact Index Per Article: 7.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 09/30/2016] [Accepted: 11/30/2016] [Indexed: 01/23/2023] Open
Abstract
BACKGROUND Finite element modeling of human bone provides a powerful tool to evaluate a wide variety of outcomes in a highly repeatable and parametric manner. These models are most often derived from computed tomography data, with mechanical properties related to bone mineral density (BMD) from the x-ray energy attenuation provided from this data. To increase accuracy, many researchers report the use of quantitative computed tomography (QCT), in which a calibration phantom is used during image acquisition to improve the estimation of BMD. Since model accuracy is dependent on the methods used in the calculation of BMD and density-mechanical property relationships, it is important to use relationships developed for the same anatomical location and using the same scanner settings, as these may impact model accuracy. The purpose of this literature review is to report the relationships used in the conversion of QCT equivalent density measures to ash, apparent, and/or tissue densities in recent finite element (FE) studies used in common density-modulus relationships. For studies reporting experimental validation, the validation metrics and results are presented. RESULTS Of the studies reviewed, 29% reported the use of a dipotassium phosphate (K2HPO4) phantom, 47% a hydroxyapatite (HA) phantom, 13% did not report phantom type, 7% reported use of both K2HPO4 and HA phantoms, and 4% alternate phantom types. Scanner type and/or settings were omitted or partially reported in 31% of studies. The majority of studies used densitometric and/or density-modulus relationships derived from different anatomical locations scanned in different scanners with different scanner settings. The methods used to derive various densitometric relationships are reported and recommendations are provided toward the standardization of reporting metrics. CONCLUSIONS This review assessed the current state of QCT-based FE modeling with use of clinical scanners. It was found that previously developed densitometric relationships vary by anatomical location, scanner type and settings. Reporting of all parameters used when referring to previously developed relationships, or in the development of new relationships, may increase the accuracy and repeatability of future FE models.
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Affiliation(s)
- Nikolas K. Knowles
- Graduate Program in Biomedical Engineering, The University of Western Ontario, 1151 Richmond St, London, ON Canada
- Roth|McFarlane Hand and Upper Limb Centre, Surgical Mechatronics
Laboratory, St. Josephs Health Care, 268 Grosvenor St, London, ON Canada
- Collaborative Training Program in Musculoskeletal Health Research, and
Bone and Joint Institute, The University of Western Ontario, 1151 Richmond St, London, ON Canada
| | - Jacob M. Reeves
- Roth|McFarlane Hand and Upper Limb Centre, Surgical Mechatronics
Laboratory, St. Josephs Health Care, 268 Grosvenor St, London, ON Canada
- Collaborative Training Program in Musculoskeletal Health Research, and
Bone and Joint Institute, The University of Western Ontario, 1151 Richmond St, London, ON Canada
- Department of Mechanical and Materials Engineering, The University of Western Ontario, 1151 Richmond St, London, ON Canada
| | - Louis M. Ferreira
- Graduate Program in Biomedical Engineering, The University of Western Ontario, 1151 Richmond St, London, ON Canada
- Roth|McFarlane Hand and Upper Limb Centre, Surgical Mechatronics
Laboratory, St. Josephs Health Care, 268 Grosvenor St, London, ON Canada
- Collaborative Training Program in Musculoskeletal Health Research, and
Bone and Joint Institute, The University of Western Ontario, 1151 Richmond St, London, ON Canada
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