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Fang S, Zhang L, Yang Y, Wang Y, Guo J, Mi L. Finite element analysis comparison of Type 42A2 fracture fixed with external titanium alloy locking plate and traditional external fixation frame. J Orthop Surg Res 2023; 18:815. [PMID: 37907959 PMCID: PMC10619248 DOI: 10.1186/s13018-023-04307-1] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 07/29/2023] [Accepted: 10/21/2023] [Indexed: 11/02/2023] Open
Abstract
BACKGROUND At present, not all Type AO/OTA 42A2 open fractures can be treated by external fixation brackets, not to mention the inconvenience of this technique in clinical practice. External titanium alloy locking plates, which are lightweight and easy-to-operate, can be used as an alternative treatment option for such patients. However, there are few reports of finite element biomechanical analysis on the titanium alloy locking plates and fixation brackets being placed on the medial side of the tibial fracture. In this study, the biomechanical properties of titanium alloy locking plates and fixation brackets for treating Type AO/OTA 42A2 fractures were compared by applying the finite element method, and the results provided data support for the clinical application of the external titanium alloy locking plate technique. METHODS Type AO/OTA 42A2 fracture models were constructed using CT data of a male volunteer for two external fixation techniques, namely the external titanium alloy locking plate technique and the external fixation bracket technique, according to commonly-used clinical protocols. Then, the four-point bending, axial compression, clockwise rotation and counterclockwise rotation tests under the maximum load were simulated in finite element analysis software. The stress distribution, peak stress and overall tibial displacement data for the two different external fixation techniques were obtained and compared. RESULTS In the four different test conditions (i.e., four-point bending, axial compression, clockwise torsion, counterclockwise torsion) under the maximum load, the two external fixation techniques showed obvious von Mises stress concentration at the contacts between the screw and tibia, between the screw and titanium alloy locking plate, between the self-tapping self-drilling needle and tibia, between the self-tapping self-drilling needle and the external fixation device, as well as around the fracture end and around the cortical bone at the upper and lower ends of the tibia. The peak stress was ranged 26.67-558.77 MPa, all below the yield stress strength of titanium alloy. The peak tibial displacement of the external titanium alloy locking plate model was smaller than that of the fixation bracket model. In terms of structural stability, the external titanium alloy locking plate technique was superior to the external fixation bracket technique. CONCLUSIONS When fixing Type AO/OTA 42A2 fractures, external titanium alloy locking plates are not only lightweight and easy-to-operate, but also have better performance in terms of axial compression, bending and torsion resistance. According to the finite element biomechanical analysis, external titanium alloy locking plates are superior to traditional external fixation brackets in treating Type AO/OTA 42A2 fractures and can better meet the needs of clinical application.
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Affiliation(s)
- Shitao Fang
- Department of Orthopaedic Medicine Center, Brain Hospital of Hunan Provincial (The Second People's Hospital of Hunan Province), Clinical Medical College of Hunan University of Chinese Medicine, Changsha, 410007, China
| | - Ling Zhang
- Department of Nursing, The Third Xiangya Hospital of Central South University, Changsha, 410013, China
| | - Yunqi Yang
- Department of Orthopaedic Medicine Center, Brain Hospital of Hunan Provincial (The Second People's Hospital of Hunan Province), Clinical Medical College of Hunan University of Chinese Medicine, Changsha, 410007, China
| | - Yun Wang
- Department of Orthopaedic Medicine Center, Brain Hospital of Hunan Provincial (The Second People's Hospital of Hunan Province), Clinical Medical College of Hunan University of Chinese Medicine, Changsha, 410007, China
| | - Jinkun Guo
- Department of Orthopaedic Medicine Center, Brain Hospital of Hunan Provincial (The Second People's Hospital of Hunan Province), Clinical Medical College of Hunan University of Chinese Medicine, Changsha, 410007, China
| | - Lei Mi
- Department of Orthopaedic Medicine Center, Brain Hospital of Hunan Provincial (The Second People's Hospital of Hunan Province), Clinical Medical College of Hunan University of Chinese Medicine, Changsha, 410007, China.
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Su H, Zhong S, Ma T, Wu W, Lu Y, Wang D. Biomechanical study of the stiffness of the femoral locking compression plate of an external fixator for lower tibial fractures. BMC Musculoskelet Disord 2023; 24:39. [PMID: 36650508 PMCID: PMC9847071 DOI: 10.1186/s12891-023-06150-1] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 10/29/2022] [Accepted: 01/09/2023] [Indexed: 01/19/2023] Open
Abstract
BACKGROUND A locking compression plate (LCP) of the distal femur is used as an external fixator for lower tibial fractures. However, in clinical practice, the technique lacks a standardized approach and a strong biomechanical basis for its stability. METHODS In this paper, internal tibial LCP fixator (Group IT-44), external tibial LCP fixator (Group ET-44), external distal femoral LCP fixator (Group EF-44, group EF-33, group EF-22), and conventional external fixator (Group CEF-22) frames were used to fix unstable fracture models of the lower tibial segment, and anatomical studies were performed to standardize the operation as well as to assess the biomechanical stability and adjustability of the distal femoral LCP external fixator by biomechanical experiments. RESULTS It was found that the torsional and flexural stiffnesses of group EF-44 and group EF-33 were higher than those of group IT-44 and group ET-44 (p < 0.05); the flexural stiffness of group EF-22 was similar to that of group IT-44 (p > 0.05); and the compressive stiffness of all three EF groups was higher than that of group ET-44 (p < 0.05). In addition, the flexural and compressive stiffnesses of the three EF groups decreased with the decrease in the number of screws (p < 0.05), while the torsional stiffness of the three groups did not differ significantly between the two adjacent groups (p > 0.05). Group CEF-22 showed the highest stiffnesses, while group ET-44 had the lowest stiffnesses (P < 0.05). CONCLUSIONS The study shows that the distal femoral LCP has good biomechanical stability and adjustability and is superior to the tibial LCP as an external fixator for distal tibial fractures, as long as the technique is used in a standardized manner according to the anatomical studies in this article.
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Affiliation(s)
- Huan Su
- grid.417409.f0000 0001 0240 6969Second Department of Orthopedics, Fifth Affiliated Hospital of Zunyi Medical University, No. 1439, Zhufeng Avenue, Doumen District, Zhuhai, 519100 China
| | - Siyang Zhong
- grid.417409.f0000 0001 0240 6969Zunyi Medical University Zhuhai Campus, No. 368, Jinwan Road, Jinwan District, Zhuhai, 519041 China
| | - Tianyong Ma
- grid.417409.f0000 0001 0240 6969Second Department of Orthopedics, Fifth Affiliated Hospital of Zunyi Medical University, No. 1439, Zhufeng Avenue, Doumen District, Zhuhai, 519100 China
| | - Weidong Wu
- grid.417409.f0000 0001 0240 6969Second Department of Orthopedics, Fifth Affiliated Hospital of Zunyi Medical University, No. 1439, Zhufeng Avenue, Doumen District, Zhuhai, 519100 China
| | - Yihong Lu
- grid.417409.f0000 0001 0240 6969Second Department of Orthopedics, Fifth Affiliated Hospital of Zunyi Medical University, No. 1439, Zhufeng Avenue, Doumen District, Zhuhai, 519100 China
| | - Dewei Wang
- grid.417409.f0000 0001 0240 6969Second Department of Orthopedics, Fifth Affiliated Hospital of Zunyi Medical University, No. 1439, Zhufeng Avenue, Doumen District, Zhuhai, 519100 China
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Bilgili F, Sardoğan C, Bozdağ E. Evaluation of a novel semicircular locking external fixator for treating fractures of long bones: Biomechanical comparison with a circular external fixator. Injury 2022; 53:1353-1360. [PMID: 35101257 DOI: 10.1016/j.injury.2021.12.051] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 09/11/2021] [Revised: 12/20/2021] [Accepted: 12/30/2021] [Indexed: 02/02/2023]
Abstract
PURPOSE This study aimed to investigate the biomechanical properties of a novel semicircular locking external fixator with locking screw mechanism, shape of trapezoidal corrugations, half- ring designed for greater stability. MATERIALS AND METHODS The novel external fixator had a half-ring with the shape of trapezoidal corrugations and locking screws fixing the bone at different angles in all three planes (sagittal, axial, and coronal). The biomechanical properties of the semicircular locking external fixator (group 1) were compared with those of a standard Ilizarov-type circular external fixator (group 2) (TST, İstanbul, Turkey) in an experimental study design. Five frames were used in each group. Standard PE 1000 (polyethylene) rod models (n = 10) simulating the tibia bone model were used. Both systems were compared biomechanically by applying axial and torsional loads simultaneously. RESULT Two samples in group 2 were damaged before the test ended during axial loading. All of the samples in group 1 completed the tests without damage after 150,000 cycles. The axial stiffness of the semicircular locking external fixator was found to be significantly higher than that of the Ilizarov-type circular external fixator (p < 0.05). No statistically significant difference was found between the two fixators in torsional loading. The application time of semicircular locking external fixator was significantly shorter than Ilizarov-type circular external fixator (p < 0.05). CONCLUSION The novel semicircular locking external fixator was biomechanically stronger than the Ilizarov-type external fixator for treating fractures of long bones. It can be used as a permanent external fixator for the definitive treatment of long bone fractures with soft tissue damage in terms of stability and application time.
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Affiliation(s)
- Fuat Bilgili
- Istanbul University, Istanbul Faculty of Medicine, Department of Orthopaedics and Traumatology, Istanbul, Turkey.
| | - Cansu Sardoğan
- Yeditepe University, Institute of Health Science, Department of Physiotherapy and Rehabilitation, Istanbul, Turkey
| | - Ergun Bozdağ
- Istanbul Technical University, Department of Mechanical Engineering, Biomechanics Laboratory, Istanbul, Turkey
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Blažević D, Kodvanj J, Adamović P, Vidović D, Trobonjača Z, Sabalić S. Comparison between external locking plate fixation and conventional external fixation for extraarticular proximal tibial fractures: a finite element analysis. J Orthop Surg Res 2022; 17:16. [PMID: 35016716 PMCID: PMC8753923 DOI: 10.1186/s13018-021-02907-3] [Citation(s) in RCA: 6] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 10/01/2021] [Accepted: 12/30/2021] [Indexed: 12/22/2022] Open
Abstract
Background Good clinical outcomes for locking plates as an external fixator to treat tibial fractures have been reported. However, external locking plate fixation is still generally rarely performed. This study aimed to compare the stability of an external locking plate fixator with that of a conventional external fixator for extraarticular proximal tibial fractures using finite element analysis. Methods Three models were constructed: (1) external locking plate fixation of proximal tibial fracture with lateral proximal tibial locking plate and 5-mm screws (ELP), (2) conventional external fixation of proximal tibial fracture with an 11-mm rod and 5-mm Schanz screws (EF-11), and (3) conventional external fixation of a proximal tibial fracture with a 7-mm rod and 5-mm Schanz screws (EF-7). The stress distribution, displacement at the fracture gap, and stiffness of the three finite element models at 30-, 40-, 50-, and 60-mm plate–rod offsets from the lateral surface of the lateral condyle of the tibia were determined. Results The conventional external fixator showed higher stiffness than the external locking plate fixator. In all models, the stiffness decreased as the distance of the plate–rod from the bone surface increased. The maximum stiffness was 121.06 N/mm in the EF-11 model with 30-mm tibia–rod offset. In the EF-7 model group, the maximum stiffness was 40.00 N/mm in the model with 30-mm tibia–rod offset. In the ELP model group, the maximum stiffness was 35.79 N/mm in the model with 30-mm tibia–plate offset. Conclusions Finite element analysis indicated that external locking plate fixation is more flexible than conventional external fixation and can influence secondary bone healing. External locking plate fixation requires the placement of the plate as close as possible to the skin, which allows for a low-profile design because the increased distance from the plate to the bone can be too flexible for bone healing. Further experimental mechanical model tests are necessary to validate these finite element models, and further biological analysis is necessary to evaluate the effect of external locking plate fixation on fracture healing.
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Affiliation(s)
- Dejan Blažević
- Department of Traumatology, Sestre milosrdnice University Hospital Center, Draškovićeva 19, 10000, Zagreb, Croatia. .,University of Applied Health Sciences, Mlinarska cesta 38, 10000, Zagreb, Croatia.
| | - Janoš Kodvanj
- Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Ivana Lučića 5, 10002, Zagreb, Croatia
| | - Petra Adamović
- Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Ivana Lučića 5, 10002, Zagreb, Croatia
| | - Dinko Vidović
- Department of Traumatology, Sestre milosrdnice University Hospital Center, Draškovićeva 19, 10000, Zagreb, Croatia.,School of Dental Medicine, University of Zagreb, Gundulićeva 5, 10000, Zagreb, Croatia
| | - Zlatko Trobonjača
- School of Medicine, University of Rijeka, Braće Branchetta 20/1, 51000, Rijeka, Croatia
| | - Srećko Sabalić
- Department of Traumatology, Sestre milosrdnice University Hospital Center, Draškovićeva 19, 10000, Zagreb, Croatia.,School of Medicine, University of Split, Šoltanska 2, 21000, Split, Croatia
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Tarng YW, Lin KC, Lin KJ, Yang YP, Chien Y, Wei HW. A novel low-profile external skeletal fixator for type IIIB open tibial fractures: A biomechanical and clinical pilot study. J Chin Med Assoc 2021; 84:528-535. [PMID: 33595994 DOI: 10.1097/jcma.0000000000000506] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 11/25/2022] Open
Abstract
BACKGROUND Although external fixator is standard for managing staged treatment of open tibial fracture, the main disadvantage of this device is too bulky to be tolerated by most patients for longtime use. The purposes of this pilot study were to compare the biomechanical properties of a novel low-profile external fixator (LP-ESF) with a traditional ESF and also to evaluate its performance in patients with Gustilo type IIIb tibial open fractures. METHODS A prospective clinical pilot study started from January 2015 to December 2017, and 18 patients with Gustilo type IIIb open tibial fractures underwent the fixation with a novel LP-ESF system. The biomechanical properties of the LP-ESF were compared with the Synthes External Fixation System according to the standard ASTM F1541-02. These patients were divided into two groups according to the size of bony defect. The postoperative clinical outcomes were subsequently collected. RESULTS The biomechanical properties of the LP-ESF were comparable with those of Synthes External Fixation System and had an improved the axial/torsional stiffness and ultimate strength. In the clinical study, all patients with LP-ESF had fracture union. The duration of application of LP-ESF was 3.5 to 18 months until fracture union. In 10 of 18 patients, their fractures were immobilized with the LP-ESF until bone union, and no pin tract infection and no chronic osteomyelitis were recorded. The 36-Item Short Form Health Survey life quality and health survey were good to excellent in these patients. Notably, the LP-ESF allowed a patient with severe bone and soft-tissue defects to preserve the leg and joints function. CONCLUSION In this study, we found that the novel LP-ESFs had improved clinical outcomes. The long-term LP-ESF application seems to be tolerable in our patients. This novel approach permits better controls in deep infection and faster healing of fractures, and thus may provide a viable alternative treatment for Gustilo type IIIb open tibial fractures.
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Affiliation(s)
- Yih-Wen Tarng
- Department of Orthopaedics, Kaohsiung Veterans General Hospital, Kaohsiung, Taiwan, ROC
- Department of Orthopaedics, National Defense Medical Center, Taipei, Taiwan, ROC
| | - Kai-Cheng Lin
- Department of Orthopaedics, Kaohsiung Veterans General Hospital, Kaohsiung, Taiwan, ROC
| | - Kun-Jhih Lin
- Department of Electrical Engineering, Chung Yuan Christian University, Taoyuan, Taiwan, ROC
- Technology Translation Center for Medical Device, Chung Yuan Christian University, Taoyuan, Taiwan, ROC
| | - Yi-Ping Yang
- Department of Medical Research, Taipei Veterans General Hospital, Taipei, Taiwan, ROC
| | - Yeuh Chien
- Department of Medical Research, Taipei Veterans General Hospital, Taipei, Taiwan, ROC
| | - Hung-Wen Wei
- Department of Electrical Engineering, Chung Yuan Christian University, Taoyuan, Taiwan, ROC
- Technology Translation Center for Medical Device, Chung Yuan Christian University, Taoyuan, Taiwan, ROC
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Bliven EK, Greinwald M, Hackl S, Augat P. External fixation of the lower extremities: Biomechanical perspective and recent innovations. Injury 2019; 50 Suppl 1:S10-S17. [PMID: 31018903 DOI: 10.1016/j.injury.2019.03.041] [Citation(s) in RCA: 26] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 02/21/2019] [Accepted: 03/28/2019] [Indexed: 02/08/2023]
Abstract
The concept of supporting fractured long bones externally with mechanical fixation has been evidentially applied for over 2000 years, and since been expanded on in the mid-19th century by percutaneous bone fixation. Surgical techniques, external fixator systems, and materials have made continued progress since. The benefits of traditional external fixation have been enhanced in recent years with the introduction of hexapod-style fixators, innovative configurations, and pin modifications, among other things. It is generally agreed upon that biomechanical testing of advancements in external fixation must be inclusive of transverse or torsional loading to simulate construct behaviour in realistic scenarios. Biomechanical studies indicate that hexapod-style fixators show comparable axial stiffness to Ilizarov-style systems and improved performance under torsional and transverse forces. The addition of configuration elements to fixators, inclusion of certain carbon fibre chemical compositions, and techniques intended to augment ring thickness have also been investigated, in hopes of increasing construct stiffness under loading. Novel external fixators attempt to broaden their applications by rethinking bone mounting mechanisms and either expanding on or simplifying the implementation of 3D bone segment transport for corrective osteotomy. Older and seemingly unconventional fixation techniques are being rediscovered and evolved further in order to increase patient comfort by improving everyday usability. The development of new pin coatings can potentially enhance the pin-bone interface while lowering infection rates typically expected at thicker soft tissue envelopes. Although complication, malunion, and nonunion rates have decreased over the past 50 years, the clinical results of external fixation today can still be optimized. Unsatisfactory healing in the lower extremities has especially been reported at locations such as the distal tibia; however, advancements such as osteoinductive growth hormone treatment may provide improved results. With the current progression of technology and digitization, it is only a matter of time before 'smart', partly-autonomous external fixation systems enter the market. This review article will provide a versatile overview of biomechanically proven fixator configurations and some carefully selected innovative systems and techniques that have emerged or been established in the past two decades.
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Affiliation(s)
- Emily K Bliven
- Institute for Biomechanics, Trauma Centre Murnau, Germany
| | | | - Simon Hackl
- Institute for Biomechanics, Trauma Centre Murnau, Germany
| | - Peter Augat
- Institute for Biomechanics, Trauma Centre Murnau, Germany; Institute for Biomechanics, Paracelsus Medical University, Salzburg, Austria
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El-Desouky II, Abu Senna W. The outcome of super-cutaneous locked plate fixation with percutaneous reduction of displaced intra-articular calcaneal fractures. Injury 2017; 48:525-530. [PMID: 28081865 DOI: 10.1016/j.injury.2017.01.014] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 09/23/2016] [Revised: 12/25/2016] [Accepted: 01/05/2017] [Indexed: 02/02/2023]
Abstract
INTRODUCTION Supercutaneous (external) fixation with locking plate is utilized for fixation of long bone fractures. One retrospective study for open reduction and supercutaneous fixation of the calcaneus is reported. We prospectively evaluated the use of this method of fixation combined with percutaneous reduction. MATERIALS AND METHODS Between January 2014 and June 2015, 32 displaced calcaneus fractures in 30 patients were stabilized with percutaneous reduction and super-cutaneous fixation. They were 24 males and six females. The mean age was 37.9±5.7 years (21-55). All cases were closed. The time to surgery, complications, radiographic alignment, and time to radiographic union were recorded. Clinical results at the final follow-up were assessed by evaluating Bohler's angles for the radiographic alignment, and the system of the American Orthopedic Foot and Ankle Society (AOFAS) for the functional outcome. RESULTS According to the Sanders' classification, two cases were type II, 17 cases were type III and 13 cases were type IV. The preoperative average Bohler's angle was 10.57°±4.8. The postoperative X-ray films demonstrated that the average Bohler's angle improved to 29.07°±5.9 (p<0.001). At the time of radiologic healing (about 3 months), the plates and screws were removed under general anesthesia. The average follow-up was 13.2 months (11-18). Four cases (type IV) showed mal-union and heel pain. According to (AOFAS) rating, the fine score was 87.1±17.1 points. CONCLUSION Super-cutaneous fixation with percutaneous reduction of calcaneal fracture is an effective method in type II and III and can be effective with type IV but with less favorable results.
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Affiliation(s)
- Ihab I El-Desouky
- Kasr Al-Ainy School of Medicine, Faculty of Medicine, Cairo University, Egypt.
| | - Wissam Abu Senna
- Kasr Al-Ainy School of Medicine, Faculty of Medicine, Cairo University, Egypt.
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Ma CH, Wu CH, Jiang JR, Tu YK, Lin TS. Metaphyseal locking plate as an external fixator for open tibial fracture: Clinical outcomes and biomechanical assessment. Injury 2017; 48:501-505. [PMID: 27919511 DOI: 10.1016/j.injury.2016.11.031] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 10/01/2016] [Revised: 11/22/2016] [Accepted: 11/28/2016] [Indexed: 02/02/2023]
Abstract
OBJECTIVE This study aimed to evaluate the outcome of using a metaphyseal locking plate as a definitive external fixator for treating open tibial fractures based on biomechanical experiments and analysis of clinical results. METHODS A metaphyseal locking plate was used as an external fixator in 54 open tibial fractures in 52 patients. The mean follow-up was 38 months (range, 20-52 months). Moreover, static axial compression and torsional tests were performed to evaluate the strength of the fixation techniques. RESULTS The average fracture healing time was 34.5 weeks (range, 12-78 weeks). At 4 weeks postoperatively and at the final follow-up, the average Hospital for Special Surgery knee score was 85 (range, 81-100) and 94 (range, 88-100), respectively, and the American Orthopaedic Foot and Ankle Society score was 88 (range, 80-100) and 96 (range, 90-100), respectively. Based on the static test result, the axial stiffness was significantly different among groups (p=0.002), whereas the torsional stiffness showed no significant difference (p=0.068). CONCLUSIONS Clinical outcomes show that the use of locking plate as a definitive external fixator is an alternative choice for tibial fractures after obtaining appropriate fracture reduction. However, external locked plating constructs were not as strong as standard locked plating constructs. Therefore, the use of external locked plating constructs as a definitive treatment warrants further biomechanical study for construct strength improvement.
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Affiliation(s)
- Ching-Hou Ma
- Department of Orthopedics, E-Da Hospital, Kaohsiung, Taiwan
| | - Chin-Hsien Wu
- Department of Orthopedics, E-Da Hospital, Kaohsiung, Taiwan
| | - Jiun-Ru Jiang
- Department of Biomedical Engineering, I-Shou University, Kaohsiung, Taiwan
| | - Yuan-Kun Tu
- Department of Orthopedics, E-Da Hospital, Kaohsiung, Taiwan
| | - Ting-Sheng Lin
- Department of Biomedical Engineering, I-Shou University, Kaohsiung, Taiwan.
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