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Lu S, Vien BS, Russ M, Fitzgerald M, Chiu WK. Monitoring Osseointegration Process Using Vibration Analysis. SENSORS (BASEL, SWITZERLAND) 2022; 22:6727. [PMID: 36146079 PMCID: PMC9504783 DOI: 10.3390/s22186727] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 08/04/2022] [Revised: 08/30/2022] [Accepted: 09/02/2022] [Indexed: 06/16/2023]
Abstract
Osseointegration implant has attracted significant attention as an alternative treatment for transfemoral amputees. It has been shown to improve patients' sitting and walking comfort and control of the artificial limb, compared to the conventional socket device. However, the patients treated with osseointegration implants require a long rehabilitation period to establish sufficient femur-implant connection, allowing the full body weight on the prosthesis stem. Hence, a robust assessment method on the osseointegration process is essential to shorten the rehabilitation period and identify the degree of osseointegration prior to the connection of an artificial limb. This paper investigates the capability of a vibration-related index (E-index) on detecting the degree of simulated osseointegration process with three lengths of the residual femur (152, 190 and 228 mm). The adhesive epoxy with a setting time of 5 min was applied at the femur-implant interface to represent the stiffness change during the osseointegration process. The cross-spectrum and colormap of the normalised magnitude demonstrated significant changes during the cure time, showing that application of these plots could improve the accuracy of the currently available diagnostic techniques. Furthermore, the E-index exhibited a clear trend with a noticeable average increase of 53% against the cure time for all three residual length conditions. These findings highlight that the E-index can be employed as a quantitative justification to assess the degree of osseointegration process without selecting and tracing the resonant frequency based on the geometry of the residual femur.
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Affiliation(s)
- Shouxun Lu
- Department of Mechanical & Aerospace Engineering, Monash University, Wellington Rd., Clayton, VIC 3800, Australia
| | - Benjamin Steven Vien
- Department of Mechanical & Aerospace Engineering, Monash University, Wellington Rd., Clayton, VIC 3800, Australia
| | - Matthias Russ
- The Alfred Hospital, 55 Commercial Road, Melbourne, VIC 3004, Australia
- National Trauma Research Institute, 89 Commercial Road, Melbourne, VIC 3004, Australia
| | - Mark Fitzgerald
- The Alfred Hospital, 55 Commercial Road, Melbourne, VIC 3004, Australia
- National Trauma Research Institute, 89 Commercial Road, Melbourne, VIC 3004, Australia
| | - Wing Kong Chiu
- Department of Mechanical & Aerospace Engineering, Monash University, Wellington Rd., Clayton, VIC 3800, Australia
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Hu J, Gundry M, Zheng K, Zhong J, Hourigan P, Meakin JR, Winlove CP, Toms AD, Knapp KM, Chen J. The biomechanics of metaphyseal cone augmentation in revision knee replacement. J Mech Behav Biomed Mater 2022; 131:105233. [DOI: 10.1016/j.jmbbm.2022.105233] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/14/2021] [Revised: 04/06/2022] [Accepted: 04/09/2022] [Indexed: 11/27/2022]
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Lu S, Vien BS, Russ M, Fitzgerald M, Chiu WK. Experimental Investigation of Vibration Analysis on Implant Stability for a Novel Implant Design. SENSORS 2022; 22:s22041685. [PMID: 35214590 PMCID: PMC8874639 DOI: 10.3390/s22041685] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 01/11/2022] [Revised: 02/15/2022] [Accepted: 02/17/2022] [Indexed: 01/04/2023]
Abstract
Osseointegrated prostheses are widely used following transfemoral amputation. However, this technique requires sufficient implant stability before and during the rehabilitation period to mitigate the risk of implant breakage and loosening. Hence, reliable assessment methods for the osseointegration process are essential to ensure initial and long–term implant stability. This paper researches the feasibility of a vibration analysis technique for the osseointegration (OI) process by investigating the change in the dynamic response of the residual femur with a novel implant design during a simulated OI process. The paper also proposes a concept of an energy index (the E–index), which is formulated based on the normalized magnitude. To illustrate the potential of the E–index, this paper reports on changes in the vibrational behaviors of a 133 mm long amputated artificial femur model and implant system, with epoxy adhesives applied at the interface to simulate the OI process. The results show a significant variation in the magnitude of the colormap against curing time. The study also shows that the E–index was sensitive to the interface stiffness change, especially during the early curing process. These findings highlight the feasibility of using the vibration analysis technique and the E–index to quantitatively monitor the osseointegration process for future improvement on the efficiency of human health monitoring and patient rehabilitation.
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Affiliation(s)
- Shouxun Lu
- Department of Mechanical & Aerospace Engineering, Monash University, Melbourne, VIC 3800, Australia; (B.S.V.); (W.K.C.)
- Correspondence:
| | - Benjamin Steven Vien
- Department of Mechanical & Aerospace Engineering, Monash University, Melbourne, VIC 3800, Australia; (B.S.V.); (W.K.C.)
| | - Matthias Russ
- The Alfred Hospital, Melbourne, VIC 3004, Australia; (M.R.); (M.F.)
- National Trauma Research Institute, Melbourne, VIC 3004, Australia
| | - Mark Fitzgerald
- The Alfred Hospital, Melbourne, VIC 3004, Australia; (M.R.); (M.F.)
- National Trauma Research Institute, Melbourne, VIC 3004, Australia
| | - Wing Kong Chiu
- Department of Mechanical & Aerospace Engineering, Monash University, Melbourne, VIC 3800, Australia; (B.S.V.); (W.K.C.)
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Yousefsani SA, Dejnabadi H, Guyen O, Aminian K. A Vibrational Technique for In Vitro Intraoperative Prosthesis Fixation Monitoring. IEEE Trans Biomed Eng 2020; 67:2953-2964. [PMID: 32091985 DOI: 10.1109/tbme.2020.2974380] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
Abstract
OBJECTIVE In this paper, a new vibrational modal analysis technique was developed for intraoperative cementless prosthesis fixation evaluation upon hammering. METHODS An artificial bone (Sawbones)-prosthesis system was excited by sweeping of a sine signal over a wide frequency range. The exponential sine sweep technique was implemented to the response signal in order to determine the linear impulse response. Recursive Fourier transform enhancement (RFTE) technique was applied to the linear impulse response signal in order to enhance the frequency spectrum with sharp and distinguishable peak values indicating distinct high natural frequencies of the system (ranging from 15 kHz to 90 kHz). The experiment was repeated with 5 Sawbones-prosthesis samples. Upon successive hammering during the prosthesis insertion, variation of each natural frequency was traced. RESULTS Compared to classical Fast Fourier Transform, RFTE provided a better tracing and enhancement of frequency components during insertion. Three different types of frequency evolving trends (monotonically increasing, insensitive, and plateau-like) were observed for all samples, as confirmed by a new finite element simulation of the prosthesis dynamic insertion. Two main mechanical phenomena (i.e., geometrical compaction and compressive stress) were shown to govern these trends in opposite ways. Follow-up of the plateau-like trend upon hammering showed that the frequency shift is a good indicator of fixation. CONCLUSION Alongside the individual follow-up of frequency shifts, combinatorial frequency analysis provides new objective information on the mechanical stability of Sawbone-prosthesis fixation. SIGNIFICANCE The proposed vibrational technique based on RTFE can provide the surgeon with a new assistive diagnostic technique during the surgery by indicating when the bone-prosthesis fixation is acceptable, and beyond of which further hammering should be done cautiously to avoid bone fracture.
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Rizzo P. A review on the latest advancements in the non-invasive evaluation/monitoring of dental and trans-femoral implants. Biomed Eng Lett 2019; 10:83-102. [PMID: 32175131 DOI: 10.1007/s13534-019-00126-8] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/04/2019] [Revised: 06/05/2019] [Accepted: 07/29/2019] [Indexed: 12/11/2022] Open
Abstract
Dental implants and transcutaneous prostheses (trans-femoral implants) improve the quality of life of millions of people because they represent the optimal treatments to edentulism and amputation, respectively. The clinical procedures adopted by surgeons to insert these implants are well established. However, there is uncertainty on the outcomes of the post-operation recovery because of the uncertainty associated with the osseointegration process, which is defined as the direct, structural and functional contact between the living bone and the fixture. To guarantee the long-term survivability of dental or trans-femoral implants doctors sometimes implement non-invasive techniques to monitor and evaluate the progress of osseointegration. This may be done by measuring the stability of the fixture or by assessing the quality of the bone-fixture interface. In addition, care providers may need to quantify the structural integrity of the bone-implant system at various moments during the patients recovery. The accuracy of such non-invasive methods reduce recovery and rehabilitation time, and may increase the survival rate of the therapies with undisputable benefits for the patients. This paper provides a comprehensive review of clinically-approved and emerging non-invasive methods to evaluate/monitor the osseointegration of dental and orthopedic implants. A discussion about advantages and limitations of each method is provided based on the outcomes of the cases presented. The review on the emerging technologies covers the developments of the last decade, while the discussion about the clinically approved systems focuses mostly on the latest (2017-2018) findings. At last, the review also provides some suggestions for future researches and developments in the area of implant monitoring.
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Affiliation(s)
- Piervincenzo Rizzo
- Department of Civil and Environmental Engineering, University of Pittsburgh, 729 Benedum Hall, 3700 O'Hara Street, Pittsburgh, PA 15261 USA
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Non-radiative healing assessment techniques for fractured long bones and osseointegrated implant. Biomed Eng Lett 2019; 10:63-81. [PMID: 32175130 DOI: 10.1007/s13534-019-00120-0] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/03/2019] [Revised: 07/04/2019] [Accepted: 07/12/2019] [Indexed: 01/08/2023] Open
Abstract
The paper provides an overview of the fracture healing process of long bones, a review of work that proposed appropriate physical parameters for the assessment of healing and highlights some recent work that reported on the development of non-radiative technique for healing assessment. An overview of the development and monitoring of osseointegration for trans-femoral osseointegrated implant is also presented. The state of healing of a fractured long bone and the stability of osseointegrated implants can be seen as engineering structural components where the mechanical properties are restored to facilitate their desired function. To this end, this paper describes non-radiative techniques that are useful for healing assessment and the stability assessment of osseointegrated implants. The achievement of non-radiative quantitative assessment methodologies to determine the state of healing of fractured long bones and to assess the stability of osseointegrated implant will shorten the patient's rehabilitation time, allowing earlier mobility and return to normal activities. Recent work on the development of assessment techniques supported by the Office of Naval Research as part of the Monitoring of Osseointegrated Implant Prosthesis program is highlighted.
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A Quantitative Approach for the Bone-implant Osseointegration Assessment Based on Ultrasonic Elastic Guided Waves. SENSORS 2019; 19:s19030454. [PMID: 30678295 PMCID: PMC6387175 DOI: 10.3390/s19030454] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 01/14/2019] [Revised: 01/18/2019] [Accepted: 01/20/2019] [Indexed: 12/20/2022]
Abstract
Quantitative and reliable monitoring of osseointegration will help further evaluate the integrity of the orthopaedic construct to promote novel prosthesis design and allow early mobilisation. Quantitative assessment of the degree or the lack of osseointegration is important for the clinical management with the introduction of prosthetic implants to amputees. Acousto-ultrasonic wave propagation has been used in structural health monitoring as well as human health monitoring but so far has not extended to osseointegrated implants or prostheses. This paper presents an ultrasonic guided wave approach to assess the osseointegration of a novel implant. This study explores the potential of integrating structural health monitoring concepts into a new osseointegrated implant. The aim is to demonstrate the extension of acousto-ultrasonic techniques, which have been widely reported for the structural health monitoring of engineering structures, to assess the state of osseointegration of a bone and implant. To illustrate this potential, this paper will report on the experimental findings which investigated the unification of an aluminium implant and bone-like geometry surrogate. The core of the test specimen is filled with silicone and wrapped with plasticine to simulate the highly damped cancellous bone and soft tissue, respectively. To simulate the osseointegration process, a 2-h adhesive epoxy is used to bond the surrogate implant and a bone-like structure. A series of piezoelectric elements are bonded onto the surrogate implant to serve as actuators and sensors. The actuating piezoelectric element on an extramedullary strut is excited with a 1 MHz pulse signal. The reception of the ultrasonic wave by the sensing elements located on the adjacent and furthest struts is used to assess the integration of this implant to the parent bone structure. The study shows an Osseointegration Index can be formulated by using engineering and acousto-ultrasonic methods to measure the unification of a bone and implant. This also highlights a potential quantitative evaluation technique regardless of bone-implant geometry and soft tissue damping.
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Alshuhri AA, Holsgrove TP, Miles AW, Cunningham JL. Non-invasive vibrometry-based diagnostic detection of acetabular cup loosening in total hip replacement (THR). Med Eng Phys 2017; 48:188-195. [PMID: 28709931 DOI: 10.1016/j.medengphy.2017.06.037] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/27/2016] [Revised: 06/19/2017] [Accepted: 06/21/2017] [Indexed: 10/19/2022]
Abstract
Total hip replacement is aimed at relieving pain and restoring function. Currently, imaging techniques are primarily used as a clinical diagnosis and follow-up method. However, these are unreliable for detecting early loosening, and this has led to the proposal of novel techniques such as vibrometry. The present study had two aims, namely, the validation of the outcomes of a previous work related to loosening detection, and the provision of a more realistic anatomical representation of the clinical scenario. The acetabular cup loosening conditions (secure, and 1 and 2 mm spherical loosening) considered were simulated using Sawbones composite bones. The excitation signal was introduced in the femoral lateral condyle region using a frequency range of 100-1500 Hz. Both the 1 and 2 mm spherical loosening conditions were successfully distinguished from the secure condition, with a favourable frequency range of 500-1500 Hz. The results of this study represent a key advance on previous research into vibrometric detection of acetabular loosening using geometrically realistic model, and demonstrate the clinical potential of this technique.
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Affiliation(s)
- Abdullah A Alshuhri
- The Centre for Orthopaedic Biomechanics, Department of Mechanical Engineering, University of Bath, Bath BA2 7AY, United Kingdom.
| | - Timothy P Holsgrove
- The Centre for Orthopaedic Biomechanics, Department of Mechanical Engineering, University of Bath, Bath BA2 7AY, United Kingdom; Department of Engineering, College of Engineering, Mathematics & Physical Sciences, University of Exeter, Exeter EX4 4RN, United Kingdom.
| | - Anthony W Miles
- The Centre for Orthopaedic Biomechanics, Department of Mechanical Engineering, University of Bath, Bath BA2 7AY, United Kingdom.
| | - James L Cunningham
- The Centre for Orthopaedic Biomechanics, Department of Mechanical Engineering, University of Bath, Bath BA2 7AY, United Kingdom.
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Alshuhri AA, Holsgrove TP, Miles AW, Cunningham JL. Development of a non-invasive diagnostic technique for acetabular component loosening in total hip replacements. Med Eng Phys 2015; 37:739-45. [PMID: 26054805 DOI: 10.1016/j.medengphy.2015.05.012] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/29/2014] [Revised: 03/10/2015] [Accepted: 05/03/2015] [Indexed: 10/23/2022]
Abstract
Current techniques for diagnosing early loosening of a total hip replacement (THR) are ineffective, especially for the acetabular component. Accordingly, new, accurate, and quantifiable methods are required. The aim of this study was to investigate the viability of vibrational analysis for accurately detecting acetabular component loosening. A simplified acetabular model was constructed using a Sawbones(®) foam block. By placing a thin silicone layer between the acetabular component and the Sawbones block, 2- and 4-mm soft tissue membranes were simulated representing different loosening scenarios. A constant amplitude sinusoidal excitation with a sweep range of 100-1500 Hz was used. Output vibration from the model was measured using an accelerometer and an ultrasound probe. Loosening was determined from output signal features such as the number and relative strength of observed harmonic frequencies. Both measurement methods were sufficient to measure the output vibration. Vibrational analysis reliably detected loosening corresponding to both 2 and 4 mm tissue membranes at driving frequencies between 100 and 1000 Hz (p < 0.01) using the accelerometer. In contrast, ultrasound detected 2-mm loosening at a frequency range of 850-1050 Hz (p < 0.01) and 4-mm loosening at 500-950 Hz (p < 0.01).
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Affiliation(s)
- Abdullah A Alshuhri
- The Centre for Orthopaedic Biomechanics, Department of Mechanical Engineering, University of Bath, Bath, BA2 7AY, United Kingdom.
| | - Timothy P Holsgrove
- The Centre for Orthopaedic Biomechanics, Department of Mechanical Engineering, University of Bath, Bath, BA2 7AY, United Kingdom.
| | - Anthony W Miles
- The Centre for Orthopaedic Biomechanics, Department of Mechanical Engineering, University of Bath, Bath, BA2 7AY, United Kingdom.
| | - James L Cunningham
- The Centre for Orthopaedic Biomechanics, Department of Mechanical Engineering, University of Bath, Bath, BA2 7AY, United Kingdom.
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10
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Transformation of vibration signals in rotary blood pumps: the diagnostic potential of pump failure. J Artif Organs 2013; 16:393-6. [DOI: 10.1007/s10047-013-0709-1] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/14/2012] [Accepted: 04/17/2013] [Indexed: 10/26/2022]
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Rieger JS, Jaeger S, Schuld C, Kretzer JP, Bitsch RG. A vibrational technique for diagnosing loosened total hip endoprostheses: An experimental sawbone study. Med Eng Phys 2013; 35:329-37. [DOI: 10.1016/j.medengphy.2012.05.007] [Citation(s) in RCA: 25] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/23/2011] [Revised: 05/02/2012] [Accepted: 05/14/2012] [Indexed: 11/25/2022]
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Cairns NJ, Pearcy MJ, Smeathers J, Adam CJ. Ability of modal analysis to detect osseointegration of implants in transfemoral amputees: a physical model study. Med Biol Eng Comput 2012; 51:39-47. [PMID: 23054379 DOI: 10.1007/s11517-012-0962-0] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/05/2012] [Accepted: 09/25/2012] [Indexed: 11/28/2022]
Abstract
Owing to the successful use of non-invasive vibration analysis to monitor the progression of dental implant healing and stabilization, it is now being considered as a method to monitor femoral implants in transfemoral amputees. This study uses composite femur-implant physical models to investigate the ability of modal analysis to detect changes at the interface between the implant and bone simulating those that occur during osseointegration. Using electromagnetic shaker excitation, differences were detected in the resonant frequencies and mode shapes of the model when the implant fit in the bone was altered to simulate the two interface cases considered: firm and loose fixation. The study showed that it is beneficial to examine higher resonant frequencies and their mode shapes (rather than the fundamental frequency only) when assessing fixation. The influence of the model boundary conditions on the modal parameters was also demonstrated. Further work is required to more accurately model the mechanical changes occurring at the bone-implant interface in vivo, as well as further refinement of the model boundary conditions to appropriately represent the in vivo conditions. Nevertheless, the ability to detect changes in the model dynamic properties demonstrates the potential of modal analysis in this application and warrants further investigation.
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Affiliation(s)
- Nicola J Cairns
- Institute of Health and Biomedical Innovation and School of Engineering Systems, Queensland University of Technology, Brisbane, Australia.
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Cairns NJ, Adam CJ, Pearcy MJ, Smeathers J. Evaluation of modal analysis techniques using physical models to detect osseointegration of implants in transfemoral amputees. ANNUAL INTERNATIONAL CONFERENCE OF THE IEEE ENGINEERING IN MEDICINE AND BIOLOGY SOCIETY. IEEE ENGINEERING IN MEDICINE AND BIOLOGY SOCIETY. ANNUAL INTERNATIONAL CONFERENCE 2012; 2011:1600-3. [PMID: 22254628 DOI: 10.1109/iembs.2011.6090463] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/05/2022]
Abstract
Non-invasive vibration analysis has been used extensively to monitor the progression of dental implant healing and stabilization. It is now being considered as a method to monitor femoral implants in transfemoral amputees. This paper evaluates two modal analysis excitation methods and investigates their capabilities in detecting changes at the interface between the implant and the bone that occur during osseointegration. Excitation of bone-implant physical models with the electromagnetic shaker provided higher coherence values and a greater number of modes over the same frequency range when compared to the impact hammer. Differences were detected in the natural frequencies and fundamental mode shape of the model when the fit of the implant was altered in the bone. The ability to detect changes in the model dynamic properties demonstrates the potential of modal analysis in this application and warrants further investigation.
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Pérez MA, Seral-García B. A finite element analysis of the vibration behaviour of a cementless hip system. Comput Methods Biomech Biomed Engin 2012; 16:1022-31. [PMID: 22300407 DOI: 10.1080/10255842.2011.650635] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/14/2022]
Abstract
An early diagnosis of aseptic loosening of a total hip replacement (THR) by plain radiography, scintigraphy or arthography has been shown to be less reliable than using a vibration technique. However, it has been suggested that it may be possible to distinguish between a secure and a loose prosthesis using a vibration technique. In fact, vibration analysis methods have been successfully used to assess dental implant stability, to monitor fracture healing and to measure bone mechanical properties. Several studies have combined the vibration technique with the finite element (FE) method in order to better understand the events involved in the experimental technique. In the present study, the main goal is to simulate the change in the resonance frequency during the osseointegration process of a cementless THR (Zweymüller). The FE method was used and a numerical modal analysis was conducted to obtain the natural frequencies and mode shapes under vibration. The effects were studied of different bone and stem material properties, and different contact conditions at the bone-implant interface. The results were in agreement with previous experimental and computational observations, and differences among the different cases studied were detected. As the osseointegration process at the bone-implant interface evolved, the resonance frequency values of the femur-prosthesis system also increased. In summary, vibration analysis combined with the FE method was able to detect different boundary conditions at the bone-implant interface in cases of both osseointegration and loosening.
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Affiliation(s)
- M A Pérez
- a Multiscale in Mechanical and Biological Engineering-M2BE, Aragón Institute of Engineering Research (I3A), University of Zaragoza , Zaragoza , Spain
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Nonlinear finite element analysis of the vibration characteristics of the maxillary central incisor related to periodontal attachment. Med Biol Eng Comput 2009; 47:1189-95. [PMID: 19830468 DOI: 10.1007/s11517-009-0542-0] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/28/2009] [Accepted: 09/27/2009] [Indexed: 10/20/2022]
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