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Zheng G, Zhou F, Yuan B, Guo Q, Li F, Zhao Y, Xu Z, Guo X. Novel Radiographic Parameters for Posterior Atlantoaxial Dislocation Secondary to Os Odontoideum and Its Clinical Significance. World Neurosurg 2023; 178:e692-e699. [PMID: 37544599 DOI: 10.1016/j.wneu.2023.07.145] [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: 06/26/2023] [Accepted: 07/31/2023] [Indexed: 08/08/2023]
Abstract
OBJECTIVE To explore correlations of 3 novel radiographic parameters with myelopathy induced by posterior atlantoaxial dislocation (PAAD) secondary to os odontoideum (OO) and assess their reproducibility. METHODS Of the 51 patients with OO with PAAD enrolled in this study, 28 developed PAAD-induced myelopathy (myelopathy group), and the other 23 patients had no myelopathy (control group). Neurologic function was evaluated by the neurologic function rating system and the Japanese Orthopaedic Association score system. Three novel radiographic parameters (OP [median sagittal diameter of the spinal canal from the posteroinferior edge of the ossicle to the anterosuperior edge of the spinous process of C2]/C4 SAC [space available for spinal cord] ratio, C1 posterior inclination angle, and posterior dislocation index) were measured by lateral cervical dynamic radiography. Their correlations with neurologic function were analyzed, and their reproducibility was assessed by the intraclass correlation coefficient (ICC). In addition, receiver operating characteristic curve analysis was performed. RESULTS A significant correlation was observed between the OP/C4 SAC ratio and the neurologic function (P < 0.01), and between the C1 posterior inclination angle and the neurologic function (P < 0.01). Furthermore, their interobserver and intraobserver reliability was excellent (ICC ≥ 0.912). Receiver operating characteristic curve analysis showed that the optimal threshold value relating to myelopathy of the OP/C4 SAC ratio and C1 posterior inclination angle was 0.93 and 20°, respectively. CONCLUSIONS The OP/C4 SAC ratio and the C1 posterior inclination angle seem to be 2 effective and objective radiographic parameters for relating myelopathy in patients with OO with PAAD. When the OP/C4 SAC ratio is <0.93 and/or the C1 posterior inclination angle is >20°, the risk of developing myelopathy should be highly suspected in patients with OO with PAAD.
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Affiliation(s)
- Gang Zheng
- Department of Orthopedics, Shanghai Changzheng Hospital, Second Affiliated Hospital of Naval Medical University, Shanghai, China
| | - Fengjin Zhou
- Department of Orthopedics, HongHui Hospital, Xi'an Jiaotong University, Xi'an, Shaanxi, China
| | - Bo Yuan
- Department of Orthopedics, Shanghai Changzheng Hospital, Second Affiliated Hospital of Naval Medical University, Shanghai, China
| | - Qunfeng Guo
- Department of Orthopedics, Shanghai Changzheng Hospital, Second Affiliated Hospital of Naval Medical University, Shanghai, China
| | - Fengning Li
- Department of Orthopedics, Shanghai Changzheng Hospital, Second Affiliated Hospital of Naval Medical University, Shanghai, China
| | - Yin Zhao
- Department of Orthopedics, Shanghai Changzheng Hospital, Second Affiliated Hospital of Naval Medical University, Shanghai, China
| | - Zheng Xu
- Department of Orthopedics, Shanghai Changzheng Hospital, Second Affiliated Hospital of Naval Medical University, Shanghai, China
| | - Xiang Guo
- Department of Orthopedics, Shanghai Changzheng Hospital, Second Affiliated Hospital of Naval Medical University, Shanghai, China.
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Divi SN, Karamian BA, Canseco JA, Chang M, Toci GR, Goyal DKC, Nicholson KJ, Mujica VE, Bronson W, Kaye ID, Kurd MF, Woods BI, Radcliff KE, Rihn JA, Anderson DG, Hilibrand AS, Kepler CK, Vaccaro AR, Schroeder GD. The Impact of Upper Cervical Spine Alignment on Patient-reported Outcome Measures in Anterior Cervical Decompression and Fusion. Clin Spine Surg 2022; 35:E539-E545. [PMID: 35302961 DOI: 10.1097/bsd.0000000000001310] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 04/22/2021] [Accepted: 02/02/2022] [Indexed: 11/26/2022]
Abstract
STUDY DESIGN This was a retrospective cohort study. OBJECTIVE To determine the extent to which the upper cervical spine compensates for malalignment in the subaxial cervical spine, and how changes in upper cervical spine sagittal alignment affect patient-reported outcomes. SUMMARY OF BACKGROUND DATA Previous research has investigated the relationship between clinical outcomes and radiographic parameters in the subaxial cervical spine following anterior cervical discectomy and fusion (ACDF). However, limited research exists regarding the upper cervical spine (occiput to C2), which accounts for up to 40% of neck movement and has been hypothesized to compensate for subaxial dysfunction. MATERIALS AND METHODS Patients undergoing ACDF for cervical radiculopathy and/or myelopathy at a single center with minimum 1-year follow-up were included. Radiographic parameters including cervical sagittal vertical axis, C0 angle, C1 inclination angle, C2 slope, Occiput-C1 angle (Oc-C1 degrees), Oc-C2 degrees, Oc-C7 degrees, C1-C2 degrees, C1-C7 degrees, and C2-C7 degrees cervical lordosis (CL) were recorded preoperatively and postoperatively. Delta (Δ) values were calculated by subtracting preoperative values from postoperative values. Correlation analysis as well as multiple linear regression analysis was used to determine relationships between radiographic and clinical outcomes. Alpha was set at 0.05. RESULTS A total of 264 patients were included (mean follow-up 20 mo). C2 slope significantly decreased for patients after surgery (Δ=-0.8, P =0.02), as did parameters of regional cervical lordosis (Oc-C7 degrees, C1-C7 degrees, and C2-C7 degrees; P <0.001, <0.001, and 0.01, respectively). Weak to moderate associations were observed between postoperative CL and C1 inclination ( r =-0.24, P <0.001), Oc-C1 degrees ( r =0.59, P <0.001), and C1-C2 degrees ( r =-0.23, P <0.001). Increased preoperative C1-C2 degrees and Oc-C2 degrees inversely correlated with preoperative SF-12 Mental Composite Score (MCS-12) scores ( r =-0.16, P =0.01 and r =-0.13, P =0.04). Cervical sagittal vertical axis was found to have weak but significant associations with Short Form-12 (SF-12) Physical Composite Score (PCS-12) ( r =-0.13, P =0.03) and MCS-12 ( r =0.12, P =0.05). CONCLUSION No clinically significant relationship between upper cervical and subaxial cervical alignment was detected for patients undergoing ACDF for neurological symptoms. Upper cervical spine alignment was not found to be a significant predictor of patient-reported outcomes after ACDF. LEVEL OF EVIDENCE Level III.
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Affiliation(s)
- Srikanth N Divi
- Department of Orthopaedic Surgery, Rothman Institute, Thomas Jefferson University, Philadelphia, PA
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Machida M, Rocos B, Taira K, Nemoto N, Oikawa N, Kinoshita T, Kozu T, Nakanishi K. The Association Between Radiographic and MRI Cervical Spine Parameters in Patients With Down Syndrome. Cureus 2022; 14:e25046. [PMID: 35719754 PMCID: PMC9199963 DOI: 10.7759/cureus.25046] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Accepted: 05/16/2022] [Indexed: 11/05/2022] Open
Abstract
Introduction Many patients with Down syndrome (DS) develop upper cervical spine instability that may lead to spinal cord injury. The purpose of this study was to investigate the association between the spinal cord compression in MRI and the occipto-cervical instability evident on plain radiographs in a Japanese population. Methods A retrospective analysis of cervical spine radiographs and MRI acquired from patients with DS was performed. Radiographic evaluation included measuring the atlanto-dental interval (ADI) and space available for the cord. The basion axial interval (BAI) and Weisel-Rothman (WR) measurements were taken to quantify occipto-axial (OA) and atlanto-occipital (AO) instability. These parameters were collected in patients both with (positive) and without (negative) spinal cord compression evident on MR imaging in a neutral position and the values were compared. In addition, we investigated the association between spinal cord compression and previously defined abnormal values with logistic regression analysis (abnormal values: ADI>6mm, SAC<14mm, BAI<-12mm or >5mm in neutral position). Results There were 17 patients in the positive group and 52 patients in the negative group. WR was 7.4 mm±6.0 in positive group and 8.6 mm±4.8 in negative group (p=0.31) in neutral position, 3.9 mm±5.4 and 6.3±5.0 (p=0.06) in flexion, and 7.0 mm±6.8 and 7.2 mm±4.8 (p=0.75) in extension, respectively. The difference in WR between flexion and extension was 3.1 mm ± 4.6 and 0.9 mm ± 3.8, respectively (p=0.15). All other parameters showed significant differences between the two groups excluding BAI in extension (p<0.05). In addition, abnormal values that significantly correlated with cord compression were ADI (odds ratio 42.3 p<0.01 95% CI 4.16-430.0) and SAC (odds ratio 31.90 p=0.013 95% CI 2.06-494.0). Conclusions These data suggest that OA and AA instability measured with ADI, SAC, and BAI are significantly associated with spinal cord compression in MRI; whereas instability measured with WR and DWR is not. In addition, the previously defined abnormal thresholds for the ADI and SAC can be used for screening the Japanese population.
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Ohba T, Oda K, Tanaka N, Masanori W, Endo T, Haro H. Posterior occipitocervical instrumented fusion for atlantoaxial instability in a 27-month-old child with Down syndrome: illustrative case. JOURNAL OF NEUROSURGERY: CASE LESSONS 2021; 1:CASE2175. [PMID: 36046513 PMCID: PMC9394695 DOI: 10.3171/case2175] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 02/03/2021] [Accepted: 04/01/2021] [Indexed: 11/30/2022]
Abstract
BACKGROUND Upper cervical spine instability is one of the most serious orthopedic problems in patients with Down syndrome. Despite the recent advancement of instrumentation techniques, occipitocervical fusion remains technically challenging in the very young pediatric population with small and fragile osseous elements. OBSERVATIONS A 27-month-old boy with Down syndrome was urgently transported to the authors’ hospital because of difficulty in standing and sitting, weakness in the upper limbs, and respiratory distress. Radiographs showed os odontoideum, irreducible atlantoaxial dislocation, and substantial spinal cord compression. Emergency posterior occipitoaxial fixation was performed using O-arm navigation. Improvement in the motor paralysis of the upper left limb was observed from the early postoperative period, but revision surgery was needed 14 days after surgery because of surgical site infection. The patient showed modest but substantial neurological improvement 1 year after the surgery. LESSONS There are several clinical implications of the present case. It warns that Down syndrome in the very young pediatric population may lead to rapid progression of spinal cord injury and life crisis. This 27-month-old patient represents the youngest case of atlantoaxial instability in a patient with Down syndrome. O-arm navigation is useful for inserting screws into very thin pedicles.
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Affiliation(s)
- Tetsuro Ohba
- Department of Orthopaedic Surgery, University of Yamanashi, Yamanashi, Japan
| | - Kotaro Oda
- Department of Orthopaedic Surgery, University of Yamanashi, Yamanashi, Japan
| | - Nobuki Tanaka
- Department of Orthopaedic Surgery, University of Yamanashi, Yamanashi, Japan
| | - Wako Masanori
- Department of Orthopaedic Surgery, University of Yamanashi, Yamanashi, Japan
| | - Tomoka Endo
- Department of Orthopaedic Surgery, University of Yamanashi, Yamanashi, Japan
| | - Hirotaka Haro
- Department of Orthopaedic Surgery, University of Yamanashi, Yamanashi, Japan
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Posterior Direct Reduction of Lateral Atlantoaxial Joints for Rigid Pediatric Atlantoaxial Subluxation: A Fulcrum Lever Technique. Spine (Phila Pa 1976) 2020; 45:E1119-E1126. [PMID: 32355147 DOI: 10.1097/brs.0000000000003510] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 02/01/2023]
Abstract
STUDY DESIGN Clinical case series. OBJECTIVE To present a surgical technique and results of posterior direct reduction of lateral atlantoaxial joints for rigid pediatric atlantoaxial subluxation (AAS) using a fulcrum lever technique. SUMMARY OF BACKGROUND DATA The surgical treatment of pediatric rigid AAS is still technically challenging. Several factors contribute to the surgical difficulty, such as small vertebrae, incomplete bone formation, dysplasia, the difficulty of reduction and external fixation are considered as a surgical daunting challenge. Herein, the surgical technique of posterior direct reduction of lateral atlantoaxial joints for rigid pediatric AAS using a fulcrum lever technique is presented. METHODS This retrospective study included 10 pediatric patients with rigid AAS who underwent posterior direct reduction of bilateral C1/2 facet joints via a fulcrum lever technique. The indication for surgery was the presence of neurological symptoms and spinal cord atrophy with an intramedullary high signal at the C1 level on T2-weighted magnetic resonance (MR) images. The surgical procedure consisted of three steps: (1) opening and distraction of the C1/2 facet joints and placement of tricortical bone as a spacer and fulcrum; (2) placement of C1 and C2 screws; and finally, (3) compression between the C1 posterior arch and C2 lamina and constructing C1/2 fusion. All patients underwent the neurological and radiological evaluations before and after surgery. RESULTS Eight of 10 patients demonstrated genetic disorders, either Down syndrome or chondrodysplasia punctate. Besides, all cases documented congenital anomaly of the odontoid process. Bilateral C1 lateral mass screws were successfully placed in all cases. No evidence of postoperative neurovascular complications. Radiological evaluation showed the corrections and bony fusions of C1/2 facet joint in all cases. CONCLUSION The fulcrum lever technique for rigid pediatric AAS can be one of the effective surgical solutions to this challenging pediatric spinal disorder. LEVEL OF EVIDENCE 4.
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Bouchard M, Bauer JM, Bompadre V, Krengel WF. An Updated Algorithm for Radiographic Screening of Upper Cervical Instability in Patients With Down Syndrome. Spine Deform 2019; 7:950-956. [PMID: 31732007 DOI: 10.1016/j.jspd.2019.01.012] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 11/26/2018] [Revised: 01/14/2019] [Accepted: 01/19/2019] [Indexed: 10/25/2022]
Abstract
STUDY DESIGN Retrospective evaluation of cervical spine images from 2006-2012 for the purposes of "screening" children with Down syndrome for instability. OBJECTIVE To determine whether a full series of cervical spine images including flexion/extension lateral (FEL) radiographs was needed to avoid missing upper cervical instability. SUMMARY OF BACKGROUND DATA The best algorithm, measurements, and criteria for screening children with Down syndrome for upper cervical instability are controversial. Many authors have recommended obtaining flexion and extension views. We noted that patients who require surgical stabilization due to myelopathy or cord compression typically have grossly abnormal radiographic measurements on the neutral upright lateral (NUL) cervical spine radiograph. METHODS The atlanto-dental interval, space available for cord, and basion axial interval were measured on all films. The Weisel-Rothman measurement was made in the FEL series. Clinical outcome of those with abnormal measurements were reviewed. Sensitivity, specificity, and positive and negative predictive values of NUL and FEL radiographs for identifying clinically significant cervical spine instability were calculated. RESULTS A total of 240 cervical spine series in 213 patients with Down syndrome between the ages of 4 months and 25 years were reviewed. One hundred seventy-two children had an NUL view, and 88 of these patients also had FEL views. Only one of 88 patients was found to have an abnormal atlanto-dental interval (≥6 mm), space available for cord at C1 (≤14 mm), or basion axial interval (>12 mm) on an FEL series that did not have an abnormal measurement on the NUL radiograph. This patient had no evidence of cord compression or myelopathy. CONCLUSIONS Obtaining a single NUL radiograph is an efficient method for radiographic screening of cervical spine instability. Further evaluation may be required if abnormal measurements are identified on the NUL radiograph. We also propose new "normal" values for the common radiographic measurements used in assessing risk of cervical spine instability in patients with Down syndrome. LEVEL OF EVIDENCE Level IV.
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Affiliation(s)
- Maryse Bouchard
- Division of Orthopaedics, Department of Surgery, The Hospital for Sick Children, University of Toronto, 555 University Avenue, m/s S107, Toronto, ON, M5G1X8, Canada.
| | - Jennifer M Bauer
- Department of Orthopedics and Sports Medicine, Seattle Children's Hospital, 4800 Sand Point Way OA.9.120, Seattle, WA, 98105, USA
| | - Viviana Bompadre
- Department of Orthopedics and Sports Medicine, Seattle Children's Hospital, 4800 Sand Point Way OA.9.120, Seattle, WA, 98105, USA
| | - Walter F Krengel
- Department of Orthopedics and Sports Medicine, Seattle Children's Hospital, 4800 Sand Point Way OA.9.120, Seattle, WA, 98105, USA; Department of Orthopaedics and Sports Medicine, University of Washington, 1959 NE Pacific St, Seattle, WA, 98195, USA
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Hofler RC, Heiferman DM, Molefe A, LeDuc R, Johans SJ, Rosenblum JD, Nockels RP, Jones GA. Morphologic variations of the second cervical vertebra in Down syndrome compared with age-matched peers. J Neurosurg Spine 2019; 30:175-181. [PMID: 30497148 DOI: 10.3171/2018.8.spine18750] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/13/2018] [Accepted: 08/08/2018] [Indexed: 11/06/2022]
Abstract
OBJECTIVEAtlantoaxial instability is an important cause of pain and neurological dysfunction in patients with Down syndrome (DS), frequently requiring instrumented fusion of the upper cervical spine. This study provides a quantitative analysis of C2 morphology in DS patients compared with their peers without DS to identify differences that must be considered for the safe placement of instrumentation.METHODSA retrospective chart review identified age-matched patients with and without DS with a CT scan of the cervical spine. Three-dimensional reconstructions of these scans were made with images along the axis of, and perpendicular to, the pars, lamina, facet, and transverse foramen of C2 bilaterally. Two of the authors performed independent measurements of anatomical structures using these images, and the average of the 2 raters' measurements was recorded. Pedicle height and width; pars axis length (the distance from the facet to the anterior vertebral body through the pars); pars rostrocaudal angle (angle of the pars axis length to the endplate of C2); pars axial angle (angle of the pars axis length to the median coronal plane); lamina height, length, and width; lamina angle (angle of the lamina length to the median coronal plane); and transverse foramen posterior distance (the distance from the posterior wall of the transverse foramen to the tangent of the posterior vertebral body) were measured bilaterally. Patients with and without DS were compared using a mixed-effects model accounting for patient height.RESULTSA total of 18 patients with and 20 patients without DS were included in the analysis. The groups were matched based on age and sex. The median height was 147 cm (IQR 142-160 cm) in the DS group and 165 cm (IQR 161-172 cm) in the non-DS group (p < 0.001). After accounting for variations in height, the mean pars rostrocaudal angle was greater (50.86° vs 45.54°, p = 0.004), the mean transverse foramen posterior distance was less (-1.5 mm vs +1.3 mm, p = 0.001), and the mean lamina width was less (6.2 mm vs 7.7 mm, p = 0.038) in patients with DS.CONCLUSIONSPatients with DS had a steeper rostrocaudal trajectory of the pars, a more posteriorly positioned transverse foramen posterior wall, and a narrower lamina compared with age- and sex-matched peers. These variations should be considered during surgical planning, as they may have implications to safe placement of instrumentation.
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Affiliation(s)
| | | | - Ayrin Molefe
- 2Clinical Research Office, Loyola University Chicago Health Sciences Division, Chicago; and
| | - Ryan LeDuc
- 3Stritch School of Medicine, Loyola University Chicago, Illinois
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Abnormalities of the craniovertebral junction in the paediatric population: a novel biomechanical approach. Clin Radiol 2018; 73:839-854. [DOI: 10.1016/j.crad.2018.05.020] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/30/2017] [Accepted: 05/15/2018] [Indexed: 12/20/2022]
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Nakamura N, Inaba Y, Aota Y, Oba M, Machida J, N. Aida, Kurosawa K, Saito T. New radiological parameters for the assessment of atlantoaxial instability in children with Down syndrome. Bone Joint J 2016; 98-B:1704-1710. [DOI: 10.1302/0301-620x.98b12.bjj-2016-0018.r1] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 02/22/2016] [Accepted: 07/14/2016] [Indexed: 11/05/2022]
Abstract
Aims To determine the normal values and usefulness of the C1/4 space available for spinal cord (SAC) ratio and C1 inclination angle, which are new radiological parameters for assessing atlantoaxial instability in children with Down syndrome. Patients and Methods We recruited 272 children with Down syndrome (including 14 who underwent surgical treatment), and 141 children in the control group. All were aged between two and 11 years. The C1/4 SAC ratio, C1 inclination angle, atlas-dens interval (ADI), and SAC were measured in those with Down syndrome, and the C1/4 SAC ratio and C1 inclination angle were measured in the control group. Results The mean C1/4 SAC ratio in those requiring surgery with Down syndrome, those with Down syndrome not requiring surgery and controls were 0.63 (standard deviation (sd) 0.1), 1.15 (sd 0.13) and 1.29 (sd 0.14), respectively, and the mean C1 inclination angles were -3.1° (sd 10.7°), 15.8° (sd 7.3) and 17.2° (sd 7.3), in these three groups, respectively. The mean ADI and SAC in those with Down syndrome requiring surgery and those with Down syndrome not requiring surgery were 9.8 mm (sd 2.8) and 4.3 mm (sd 1.0), and 11.1 mm (sd 2.6) and 18.5 mm (sd 2.4), respectively. Conclusion The normal values of the C1/4 SAC ratio and the C1 inclination angle were found to be about 1.2° and 15º, respectively. Cite this article: Bone Joint J 2016;98-B:1704–10.
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Affiliation(s)
- N. Nakamura
- Kanagawa Children’s Medical Center, 2-138-4
Mutsukawa, Minami-ku, Yokohama
city, Kanagawa, 232-8555, Japan
| | - Y. Inaba
- Yokohama City University, 3-9
Fukuura, Kanazawa-ku, Yokohama
city, Kanagawa, 236-0004, Japan
| | - Y. Aota
- Yokohama Brain and Spine Center, 1-2-1
Takigashira, Isogo-ku, Yokohama
city, Kanagawa, 235-0012, Japan
| | - M. Oba
- Saiseikai Wakakusa Hospital, 12-1
Hiragatacho, Kanazawa-ku, Yokohama
city, Kanagawa, 236-8653, Japan
| | - J. Machida
- Kanagawa Children’s Medical Center, 2-138-4
Mutsukawa, Minami-ku, Yokohama
city, Kanagawa, 232-8555, Japan
| | - N. Aida
- Kanagawa Children’s Medical Center, 2-138-4
Mutsukawa, Minami-ku, Yokohama
city, Kanagawa, 232-8555, Japan
| | - K. Kurosawa
- Kanagawa Children’s Medical Center, 2-138-4
Mutsukawa, Minami-ku, Yokohama
city, Kanagawa, 232-8555, Japan
| | - T. Saito
- Yokohama City University, 3-9
Fukuura, Kanazawa-ku, Yokohama
city, Kanagawa, 236-0004, Japan
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