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Liu Y, Zheng L, Li S, Zhang Z, Lin Z, Ma W. Finite element study on the micromechanics of cement-augmented proximal femoral nail anti-rotation (PFNA) for intertrochanteric fracture treatment. Sci Rep 2024; 14:10322. [PMID: 38710745 DOI: 10.1038/s41598-024-61122-2] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/05/2024] [Accepted: 05/02/2024] [Indexed: 05/08/2024] Open
Abstract
Blade cut-out is a common complication when using proximal femoral nail anti-rotation (PFNA) for the treatment of intertrochanteric fractures. Although cement augmentation has been introduced to overcome the cut-out effect, the micromechanics of this approach remain to be clarified. While previous studies have developed finite element (FE) models based on lab-prepared or cadaveric samples to study the cement-trabeculae interface, their demanding nature and inherent disadvantages limit their application. The aim of this study was to develop a novel 'one-step forming' method for creating a cement-trabeculae interface FE model to investigate its micromechanics in relation to PFNA with cement augmentation. A human femoral head was scanned using micro-computed tomography, and four volume of interest (VOI) trabeculae were segmented. The VOI trabeculae were enclosed within a box to represent the encapsulated region of bone cement using ANSYS software. Tetrahedral meshing was performed with Hypermesh software based on Boolean operation. Finally, four cement-trabeculae interface FE models comprising four interdigitated depths and five FE models comprising different volume fraction were established after element removal. The effects of friction contact, frictionless contact, and bond contact properties between the bone and cement were identified. The maximum micromotion and stress in the interdigitated and loading bones were quantified and compared between the pre- and post-augmentation situations. The differences in micromotion and stress with the three contact methods were minimal. Micromotion and stress decreased as the interdigitation depth increased. Stress in the proximal interdigitated bone showed a correlation with the bone volume fraction (R2 = 0.70); both micromotion (R2 = 0.61) and stress (R2 = 0.93) at the most proximal loading region exhibited a similar correlation tendency. When comparing the post- and pre-augmentation situations, micromotion reduction in the interdigitated bone was more effective than stress reduction, particularly near the cement border. The cementation resulted in a significant reduction in micromotion within the loading bone, while the decrease in stress was minimal. Noticeable gradients of displacement and stress reduction can be observed in models with lower bone volume fraction (BV/TV). In summary, cement augmentation is more effective at reducing micromotion rather than stress. Furthermore, the reinforcing impact of bone cement is particularly prominent in cases with a low BV/TV. The utilization of bone cement may contribute to the stabilization of trabecular bone and PFNA primarily by constraining micromotion and partially shielding stress.
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Affiliation(s)
- Yurui Liu
- Department of Anesthesiology, Beijing Stomatological Hospital, School of Stomatology, Capital Medical University, Beijing, China
| | - Liqin Zheng
- Department of Orthopedics, The First Affiliated Hospital of Guangzhou University of Chinese Medicine, Guangzhou, China
| | - Shaobin Li
- The First Clinical Medical College, Guangzhou University of Chinese Medicine, Guangzhou, China
| | - Zhengze Zhang
- The First Clinical Medical College, Guangzhou University of Chinese Medicine, Guangzhou, China
| | - Ziling Lin
- Department of Orthopedics, The First Affiliated Hospital of Guangzhou University of Chinese Medicine, Guangzhou, China
| | - Wuhua Ma
- Department of Anesthesiology, The First Affiliated Hospital of Guangzhou University of Chinese Medicine, Guangzhou, China.
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de Ruiter L, Cowie RM, Jennings LM, Briscoe A, Janssen D, Verdonschot N. The Effects of Cyclic Loading and Motion on the Implant-Cement Interface and Cement Mantle of PEEK and Cobalt-Chromium Femoral Total Knee Arthroplasty Implants: A Preliminary Study. MATERIALS (BASEL, SWITZERLAND) 2020; 13:E3323. [PMID: 32722599 PMCID: PMC7435552 DOI: 10.3390/ma13153323] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 06/21/2020] [Revised: 07/15/2020] [Accepted: 07/22/2020] [Indexed: 11/16/2022]
Abstract
This study investigated the fixation of a cemented PEEK femoral TKA component. PEEK and CoCr implants were subjected to a walking gait cycle for 10 million cycles (MC), 100,000 cycles or 0 cycles (unloaded control). A method was developed to assess the fixation at the cement-implant interface, which exposed the implants to a fluorescent penetrant dye solution. The lateral condyles of the implants were then sectioned and viewed under fluorescence to investigate bonding at the cement-implant interface and cracking of the cement mantle. When tested for 100,000 cycles, debonding of the cement-implant interface occurred in both PEEK (61%) and CoCr (13%) implants. When the duration of testing was extended (10 MC), the percentage debonding was further increased for both materials to 88% and 61% for PEEK and CoCr, respectively. The unloaded PEEK specimens were 79% debonded, which suggests that, when PEEK femoral components are cemented, complete bonding may never occur. Analysis of cracks in the cement mantle showed an absence of full-thickness cracks in the unloaded control group. For the 100,000-cycle samples, on average, 1.3 and 0.7 cracks were observed for PEEK and CoCr specimens, respectively. After 10 MC, these increased to 24 for PEEK and 19 for CoCr. This was a preliminary study with a limited number of samples investigated, but shows that, after 10 MC under a walking gait, substantial debonding was visible for both PEEK and CoCr implants at the cement-implant interface and no significant difference in the number of cement cracks was found between the two materials.
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Affiliation(s)
- Lennert de Ruiter
- Orthopaedic Research Laboratory, Radboud university medical center, Radboud Institute for Health Sciences, P.O. Box 9101, 6500 HB Nijmegen, The Netherlands; (L.d.R.); (N.V.)
| | - Raelene M. Cowie
- Institute of Medical and Biological Engineering, School of Mechanical Engineering, University of Leeds, Leeds LS2 9JT, UK; (R.M.C.); (L.M.J.)
| | - Louise M. Jennings
- Institute of Medical and Biological Engineering, School of Mechanical Engineering, University of Leeds, Leeds LS2 9JT, UK; (R.M.C.); (L.M.J.)
| | | | - Dennis Janssen
- Orthopaedic Research Laboratory, Radboud university medical center, Radboud Institute for Health Sciences, P.O. Box 9101, 6500 HB Nijmegen, The Netherlands; (L.d.R.); (N.V.)
| | - Nico Verdonschot
- Orthopaedic Research Laboratory, Radboud university medical center, Radboud Institute for Health Sciences, P.O. Box 9101, 6500 HB Nijmegen, The Netherlands; (L.d.R.); (N.V.)
- Laboratory of Biomechanical Engineering, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands
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Mann KA, Miller MA, Tatusko ME, Oest ME. Similitude of cement-bone micromechanics in cemented rat and human knee replacement. J Orthop Res 2020; 38:1529-1537. [PMID: 32167182 PMCID: PMC7293949 DOI: 10.1002/jor.24661] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 09/03/2019] [Revised: 02/12/2020] [Accepted: 03/06/2020] [Indexed: 02/04/2023]
Abstract
A preclinical rat knee replacement model was recently developed to explore the biological and mechanobiological changes of trabecular resorption for cement-bone interdigitated regions. The goal here was to evaluate the relevance of this model compared with human knee replacement with regards to functional micromechanics. Eight nonsurvival, cemented knee replacement surgeries were performed, the interdigitated gap morphology was quantified, and interface micromotion between cement and bone was measured for 1 to 5 bodyweight loading. Computational fluid dynamics modeling of unit cell geometries with small gaps between trabeculae and cement was used to estimate fluid flow. Gap width (3.6 μm) was substantially smaller compared with cement-bone gaps reported in human knee replacement (11.8 μm). Micromotion at the cement-bone border was also decreased for the rat knee replacement (0.48 μm), compared with human (1.97 μm), for 1 bodyweight loading. However, the micromotion-to-gap width ratio (0.19 and 0.22 for, rat and human), and estimated fluid shear stress (6.47 and 7.13 Pa, for rat and human) were similar. Replicating the fluid dynamic characteristics of cement-bone interdigitated regions in human knee replacements using preclinical models may be important to recapitulate trabecular resorption mechanisms due to proposed supraphysiologic fluid shear stress. Statement of clinical significance: local cement-bone micromotion due to joint loading may contribute to the process of clinical loosening in total joint replacements. This work shows that while micromotion and gap morphology are diminished for the rat knee model compared to human, the motion-to-gap ratio, and corresponding fluid shear stress are of similar magnitudes.
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McArthur BA, Scully R, Patrick Ross F, Bostrom MPG, Falghren A. Mechanically Induced Periprosthetic Osteolysis: A Systematic Review. HSS J 2019; 15:286-296. [PMID: 31624485 PMCID: PMC6778158 DOI: 10.1007/s11420-018-9641-5] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 08/14/2017] [Accepted: 09/25/2018] [Indexed: 02/07/2023]
Abstract
BACKGROUND Peri-prosthetic bone loss can result from chemical, biological, and mechanical factors. Mechanical stimulation via fluid pressure and flow at the bone-implant interface may be a significant cause. Evidence supporting mechanically induced osteolysis continues to grow, but there is no synthesis of published clinical and basic science data. QUESTIONS/PURPOSES We sought to review the literature on two questions: (1) What published evidence supports the concept of mechanically induced osteolysis? (2) What is the proposed mechanism of mechanically induced osteolysis, and does it differ from that of particle-induced osteolysis? METHODS A systematic review was performed of the PubMed and Web of Science databases. Additional relevant articles were recommended by the senior authors based on their expert opinion. Abstracts were reviewed and the manuscripts pertaining to the study questions were read in full. Studies showing support of mechanically induced osteolysis were quantified and findings summarized. RESULTS We identified 49 articles of experimental design supporting the hypothesis that mechanical stimulation of peri-prosthetic bone from fluid pressure and flow can induce osteolysis. While the molecular mechanisms may overlap with those implicated in particle-induced osteolysis, mechanically induced osteolysis appears to be mediated by distinct and parallel pathways. CONCLUSIONS The role of mechanical stimuli is increasingly recognized in the pathogenesis of peri-prosthetic osteolysis. Current research aims to elucidate the molecular mechanisms to better target therapeutic interventions.
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Affiliation(s)
- Benjamin A. McArthur
- Department of Surgery and Perioperative Care, Dell Medical School at the University of Texas, Texas Orthopedics Sports and Rehabilitation Associates, 4215 Benner Road, Ste. 300, Kyle, TX 78640 USA
| | - Ryan Scully
- Department of Orthopedic Surgery, George Washington University, 2300 M Street, NW, Washington, DC, 20037 USA
| | - F. Patrick Ross
- Hospital for Special Surgery, 535 E. 70th Street, New York, NY 10021 USA
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Shi M, Chen L, Wu H, Wang Y, Wang W, Zhang Y, Yan S. Effect of bisphosphonates on periprosthetic bone loss after total knee arthroplasty: a meta-analysis of randomized controlled trials. BMC Musculoskelet Disord 2018; 19:177. [PMID: 29848366 PMCID: PMC5977548 DOI: 10.1186/s12891-018-2101-z] [Citation(s) in RCA: 23] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 01/28/2018] [Accepted: 05/17/2018] [Indexed: 01/09/2023] Open
Abstract
Background Aseptic loosening and osteolysis are the most common indications after TKA for revision surgery. This meta-analysis which included high-quality randomized controlled trials (RCTs) aimed to analyze the effect of bisphosphonates (BPs) on maintaining periprosthetic bone mineral density (BMD) after total knee arthroplasty. Methods PubMed, AMED, EMBASE, the Cochrane library, ISI Web of Science, and China National Knowledge Infrastructure were systematically searched, five RCTs were included and the total number of participants was 188. The weighted mean differences with 95% confidence interval were calculated to evaluate the efficacy of BPs on total BMD of knee and the BMD of different periprosthetic regions. A descriptive review was performed for BP-related adverse effects. Results The BPs group presented significantly higher total BMD in proximal part of the tibia than the control group at 3 and 6 months (P < 0.05), but no significant difference at 12 months (P = 0.09). The BPs group presented significantly higher BMD in the distal aspect of the femur than that in the control group at 3, 6, 12 months. The BPs group presented significantly higher periprosthetic BMD than that in the control group at 3, 6 and 12 months in tibial medial and lateral metaphyseal region, and femoral anterior, central and posterior metaphyseal region (p < 0.05), but no significant difference for tibial diaphyseal region at 3, 6, and 12 months. None of the included studies described severe or fatal adverse effects related to BPs. Conclusion BPs have a short-term effect on reducing periprosthetic bone loss after total knee arthroplasty. Compared with diaphyseal region, BPs are more effective on the preservation of BMD in medial lateral metaphyseal regions of proximal tibia and in anterior, central, and posterior metaphyseal region of distal femur.
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Affiliation(s)
- Mingmin Shi
- Department of Orthopaedic Surgery, Second Affiliated Hospital, School of Medicine, Zhejiang University, No.88 Jiefang Road, Hangzhou, 310009, People's Republic of China
| | - Lei Chen
- Department of Endocrinology and Metabolism, Sir Run Run Shaw Hospital Affiliated with School of Medicine, Zhejiang University, No. 3 Qingchun Road, Hangzhou, 310009, People's Republic of China
| | - Haobo Wu
- Department of Orthopaedic Surgery, Second Affiliated Hospital, School of Medicine, Zhejiang University, No.88 Jiefang Road, Hangzhou, 310009, People's Republic of China
| | - Yangxin Wang
- Department of Orthopaedic Surgery, Second Affiliated Hospital, School of Medicine, Zhejiang University, No.88 Jiefang Road, Hangzhou, 310009, People's Republic of China
| | - Wei Wang
- Department of Orthopaedic Surgery, Second Affiliated Hospital, School of Medicine, Zhejiang University, No.88 Jiefang Road, Hangzhou, 310009, People's Republic of China
| | - Yujie Zhang
- Department of Orthopaedic Surgery, Second Affiliated Hospital, School of Medicine, Zhejiang University, No.88 Jiefang Road, Hangzhou, 310009, People's Republic of China
| | - Shigui Yan
- Department of Orthopaedic Surgery, Second Affiliated Hospital, School of Medicine, Zhejiang University, No.88 Jiefang Road, Hangzhou, 310009, People's Republic of China.
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Cyndari KI, Goodheart JR, Miller MA, Oest ME, Damron TA, Mann KA. Peri-Implant Distribution of Polyethylene Debris in Postmortem-Retrieved Knee Arthroplasties: Can Polyethylene Debris Explain Loss of Cement-Bone Interlock in Successful Total Knee Arthroplasties? J Arthroplasty 2017; 32:2289-2300. [PMID: 28285038 PMCID: PMC5469692 DOI: 10.1016/j.arth.2017.01.047] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 10/27/2016] [Revised: 01/06/2017] [Accepted: 01/25/2017] [Indexed: 02/01/2023] Open
Abstract
BACKGROUND Loss of mechanical interlock between cement and bone with in vivo service has been recently quantified for functioning, nonrevised, cemented total knee arthroplasties (TKAs). The cause of interlocking trabecular resorption is not known. The goal of this study is to quantify the distribution of PE debris at the cement-bone interface and determine if polyethylene (PE) debris is locally associated with loss of interlock. METHODS Fresh, nonrevised, postmortem-retrieved TKAs (n = 8) were obtained en bloc. Laboratory-prepared constructs (n = 2) served as negative controls. The intact cement-bone interface of each proximal tibia was embedded in Spurr's resin, sectioned, and imaged under polarized light to identify birefringent PE particles. PE wear particle number density was quantified at the cement-bone interface and distal to the interface, and then compared with local loss of cement-bone interlock. RESULTS The average PE particle number density for postmortem-retrieved TKAs ranged from 8.6 (1.3) to 24.9 (3.1) particles/mm2 (standard error) but was weakly correlated with years in service. The average particle number density was twice as high as distal (>5mm) to the interface compared to at the interface. The local loss of interlock at the interface was not related to the presence, absence, or particle density of PE. CONCLUSION PE debris can migrate extensively along the cement-bone interface of well-fixed tibial components. However, the amount of local bone loss at the cement-bone interface was not correlated with the amount of PE debris at the interface, suggesting that the observed loss of trabecular interlock in these well-fixed TKAs may be due to alternative factors.
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Affiliation(s)
- Karen I Cyndari
- Department of Orthopaedic Surgery, State University of New York Upstate Medical University, Syracuse, New York
| | - Jacklyn R Goodheart
- Department of Orthopaedic Surgery, State University of New York Upstate Medical University, Syracuse, New York
| | - Mark A Miller
- Department of Orthopaedic Surgery, State University of New York Upstate Medical University, Syracuse, New York
| | - Megan E Oest
- Department of Orthopaedic Surgery, State University of New York Upstate Medical University, Syracuse, New York
| | - Timothy A Damron
- Department of Orthopaedic Surgery, State University of New York Upstate Medical University, Syracuse, New York
| | - Kenneth A Mann
- Department of Orthopaedic Surgery, State University of New York Upstate Medical University, Syracuse, New York
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Srinivasan P, Miller MA, Verdonschot N, Mann KA, Janssen D. A modelling approach demonstrating micromechanical changes in the tibial cemented interface due to in vivo service. J Biomech 2017; 56:19-25. [PMID: 28285748 DOI: 10.1016/j.jbiomech.2017.02.017] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/27/2016] [Revised: 01/30/2017] [Accepted: 02/19/2017] [Indexed: 11/28/2022]
Abstract
Post-operative changes in trabecular bone morphology at the cement-bone interface can vary depending on time in service. This study aims to investigate how micromotion and bone strains change at the tibial bone-cement interface before and after cementation. This work discusses whether the morphology of the post-mortem interface can be explained by studying changes in these mechanical quantities. Three post-mortem cement-bone interface specimens showing varying levels of bone resorption (minimal, extensive and intermediate) were selected for this study Using image segmentation techniques, masks of the post-mortem bone were dilated to fill up the mould spaces in the cement to obtain the immediately post-operative situation. Finite element (FE) models of the post-mortem and post-operative situation were created from these segmentation masks. Subsequent removal of the cement layer resulted in the pre-operative situation. FE micromotion and bone strains were analyzed for the interdigitated trabecular bone. For all specimens micromotion increased from the post-operative to the post-mortem models (distally, in specimen 1: 0.1 to 0.5µm; specimen 2: 0.2 to 0.8µm; specimen 3: 0.27 to 1.62µm). Similarly bone strains were shown to increase from post-operative to post-mortem (distally, in specimen 1: -185 to -389µε; specimen 2: -170 to -824µε; specimen 3: -216 to -1024µε). Post-mortem interdigitated bone was found to be strain shielded in comparison with supporting bone indicating that failure of bone would occur distal to the interface. These results indicate that stress shielding of interdigitated trabeculae is a plausible explanation for resorption patterns observed in post-mortem specimens.
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Affiliation(s)
- Priyanka Srinivasan
- Radboud University Medical Center, Radboud Institute for Health Sciences, Nijmegen, The Netherlands.
| | - Mark A Miller
- Department of Orthopedic Surgery, State University of New York, Upstate Medical University, Syracuse, NY, USA
| | - Nico Verdonschot
- Radboud University Medical Center, Radboud Institute for Health Sciences, Nijmegen, The Netherlands; University of Twente, Laboratory for Biomechanical Engineering, Faculty of Engineering Technology, Enschede, The Netherlands
| | - Kenneth A Mann
- Department of Orthopedic Surgery, State University of New York, Upstate Medical University, Syracuse, NY, USA
| | - Dennis Janssen
- Radboud University Medical Center, Radboud Institute for Health Sciences, Nijmegen, The Netherlands
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Strain shielding in trabecular bone at the tibial cement-bone interface. J Mech Behav Biomed Mater 2016; 66:181-186. [PMID: 27889526 DOI: 10.1016/j.jmbbm.2016.11.006] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/23/2016] [Revised: 10/12/2016] [Accepted: 11/01/2016] [Indexed: 11/21/2022]
Abstract
Aseptic loosening of the tibial component remains the leading cause for revision surgery in total knee arthroplasty (TKA). Understanding the mechanisms leading to loss of fixation can offer insight into preventative measures to ensure a longer survival rate. In cemented TKA, loosening occurs at the cement-trabecular interface probably due to a stress-shielding effect of the stiffer implant material in comparison with bone. Using finite element models of lab-prepared tibial cement-trabeculae interface specimens (n=4) based on micro-CT images, this study aims to investigate the micromechanics of the interlock between cement and trabecular bone. Finite element micromotion between cement and trabeculae and bone strain were compared in the interdigitated trabeculae as well as strain in the bone distal to the interface. Lab-prepared specimens and their FE models were assumed to represent the immediate post-operative situation. The cement layer was removed in the FE models while retaining the loading conditions, which resulted in FE models that represented the pre-operative situation. Results showed that micromotion and bone strain decrease when interdigitation depth increases. Bone-cement micromotion and bone strain at the distal interdigitated region showed a dependence on bone volume fraction. Comparing the immediate post-operative and pre-operative situations, trabeculae embedded deep within the cement generally showed the highest level of strain-shielding. Strain shielding of interdigitated bone, in terms of reduction in compressive strains, was found to be between 35 and 61 % for the four specimens. Strain adaptive remodeling could thus be a plausible mechanism responsible for loss of interdigitated bone.
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Wu R, Wu H, Arola D, Zhang D. Real-time three-dimensional digital image correlation for biomedical applications. JOURNAL OF BIOMEDICAL OPTICS 2016; 21:107003. [PMID: 27768783 DOI: 10.1117/1.jbo.21.10.107003] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/21/2016] [Accepted: 09/30/2016] [Indexed: 06/06/2023]
Abstract
Digital image correlation (DIC) has been successfully applied for evaluating the mechanical behavior of biological tissues. A three-dimensional (3-D) DIC system has been developed and applied to examining the motion of bones in the human foot. To achieve accurate, real-time displacement measurements, an algorithm including matching between sequential images and image pairs has been developed. The system was used to monitor the movement of markers which were attached to a precisely motorized stage. The accuracy of the proposed technique for in-plane and out-of-plane measurements was found to be ?0.25% and 1.17%, respectively. Two biomedical applications were presented. In the experiment involving the foot arch, a human cadaver lower leg and foot specimen were subjected to vertical compressive loads up to 700 N at a rate of 10??N/s and the 3-D motions of bones in the foot were monitored in real time. In the experiment involving distal tibio fibular syndesmosis, a human cadaver lower leg and foot specimen were subjected to a monotonic rotational torque up to 5 Nm at a speed of 5 deg per min and the relative displacements of the tibia and fibula were monitored in real time. Results showed that the system could reach a frequency of up to 16 Hz with 6 points measured simultaneously. This technique sheds new lights on measuring 3-D motion of bones in biomechanical studies.
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Affiliation(s)
- Rong Wu
- Shanghai Institute of Applied Mathematics and Mechanics, 149 Yanchang Road, Shanghai 200072, ChinabShanghai Key Laboratory of Mechanics in Energy Engineering, 149 Yanchang Road, Shanghai 200072, China
| | - Hua Wu
- The Second People's Hospital of Foshan, Department of Orthopaedics, 78 Weiguo Road, Foshan 528000, China
| | - Dwayne Arola
- University of Washington, Department of Materials Science and Engineering, Box 352120, Seattle, Washington 98195, United States
| | - Dongsheng Zhang
- Shanghai Key Laboratory of Mechanics in Energy Engineering, 149 Yanchang Road, Shanghai 200072, ChinaeShanghai University, Department of Mechanics, 99 Shangda Road, Shanghai 200444, China
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