Pelvic parameters

骨盆参数
  • 文章类型: Journal Article
    尽管骨盆倾斜(PO)是青少年特发性脊柱侧凸(AIS)矫正手术中术后冠状代偿的危险因素,尤其是Lenke5C,PO的测量方法存在争议。这项研究旨在使用多平面重建计算机断层扫描(MPR-CT)图像而不是站立的前路(PA)全脊柱X线照片来建立适当的测量方法,以评估Lenke5CAIS患者的PO。
    本研究为回顾性横断面研究。包括2014年8月至2023年2月在大阪大学医院接受AIS矫正手术的25例患者。Cobb角,L5倾斜,C7铅垂线到中心骶椎线(C7PL-CSVL),术前在站立的PA全脊柱X光片上测量腿长度差异(LLD)。骶骨倾角(SO),S1的上端板的坡度,和髂斜(IO),连接髂峰的线的倾斜,在站立PA全脊柱X线照片和MPR-CT上测量(SO/IO-X线,SO/IO-CT,分别)。在CT上测量S1角和S2角。
    患者平均年龄为18.7±3.9岁,均为女性。SO-X线和SO-CT大于IO-X线和IO-CT,分别。SO-X线与SO-CT高度相关(r=0.838,P<0.001)。L5倾斜与SO-CT(r=0.884,P<0.001)的相关性高于SO-X线(r=0.726,P=0.001)和IO-CT(r=0.550,P=0.22)。L5倾斜与IO-X线相关性较差(r=0.104,P=0.69)。S1角为4.5±3.5°,S2角为1.2±2.1°,骶骨畸形主要是由于S1椎体楔入所致。
    鉴于骶骨形态不对称,SO是比IO更合适的骨盆参数来代表Lenke5CAIS的骶骨倾斜,尤其是当使用CT图像测量以克服PA全脊柱X线照片上的能见度差时。
    UNASSIGNED: Although pelvic obliquity (PO) is a risk factor for postoperative coronal decompensation in corrective surgery in adolescent idiopathic scoliosis (AIS), especially Lenke 5C, methods of measuring PO are controversial. This study aimed to establish an appropriate measurement method using multiplanar reconstructed computed tomography (MPR-CT) images instead of standing posteroanterior (PA) whole-spine radiographs to evaluate PO in patients with Lenke 5C AIS.
    UNASSIGNED: This study was a retrospective cross-sectional study. Twenty-five patients who underwent corrective surgery for AIS in Osaka University Hospital from August 2014 to February 2023 were included. Cobb angle, L5 tilt, C7 plumb line to center sacral vertebral line (C7PL-CSVL), and leg length discrepancy (LLD) were measured on standing PA whole-spine radiographs preoperatively. Sacral obliquity (SO), the slope of the upper endplate of S1, and iliac obliquity (IO), the tilt of the line connecting the iliac crests, were measured on standing PA whole-spine radiographs and MPR-CT (SO/IO-X-ray, SO/IO-CT, respectively). S1 angle and S2 angle were measured on CT.
    UNASSIGNED: The mean age of the patients was 18.7±3.9 years and all of them were females. SO-X-ray and SO-CT were larger than IO-X-ray and IO-CT, respectively. SO-X-ray was highly correlated with SO-CT (r=0.838, P<0.001). L5 tilt had higher correlation with SO-CT (r=0.884, P<0.001) than with SO-X-ray (r=0.726, P=0.001) and IO-CT (r=0.550, P=0.22). L5 tilt was correlated poorly with IO-X-ray (r=0.104, P=0.69). The S1 angle was 4.5±3.5° meanwhile the S2 angle was 1.2±2.1°, the sacral deformity was mainly due to the S1 vertebral wedging.
    UNASSIGNED: Given the asymmetric sacral morphology, SO is more appropriate pelvic parameter than IO to represent the sacral tilt of Lenke 5C AIS, especially when measured using CT images to overcome the poor visibility on PA whole-spine radiographs.
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  • 文章类型: Journal Article
    目的:脊柱骨盆矢状位对评估成人脊柱畸形(ASD)患者的平衡和确定治疗效果至关重要。只有有限数量的报告涉及脊柱骨盆参数和腰s骨移行椎骨(LSTV)。我们的主要目的是研究LSTV患者的脊柱骨盆矢状面参数变化。次要目的是调查LSTV患者的临床症状和生活质量(QOL)。
    方法:在本研究中,我们调查了371例接受脊柱体检的参与者.LSTV使用Castellvi分类进行了评估,并将患者分为LSTV+(II-IV型,L5椎骨与骶骨铰接或融合)和LSTV组。人口统计数据的倾向得分匹配后,我们分析了脊髓骨盆参数,骶髂关节变性,临床症状,以及这两个参与者组的QOL。比较两组Oswestry残疾指数(ODI)评分和EQ-5D(EuroQol5维度)指标。
    结果:分析了LSTV+和LSTV-组的44例患者。LSTV+组的骨盆发病率明显更高(52.1±11.2vs.47.8±10.0度,P=0.031)和较短的骨盆厚度(10.2±0.9vs.10.7±0.8cm,P=0.018)与LSTV组相比。ODI的“坐”域(1.1±0.9与0.6±0.7,P=0.011)和EQ-5D的“疼痛/不适”域(2.0±0.8vs.1.6±0.7,P=0.005)在LSTV+组中较大。
    结论:LSTV与骨盆矢状面参数之间存在密切关联。在某些领域,两组之间的临床症状也有所不同。外科医生应该意识到LSTV评估之间的关系,影像学参数和临床症状。
    方法:
    OBJECTIVE: Spinopelvic sagittal alignment is crucial for assessing balance and determining treatment efficacy in patients with adult spinal deformity (ASD). Only a limited number of reports have addressed spinopelvic parameters and lumbosacral transitional vertebrae (LSTV). Our primary objective was to study spinopelvic sagittal parameter changes in patients with LSTV. A secondary objective was to investigate clinical symptoms and quality of life (QOL) in patients with LSTV.
    METHODS: In this study, we investigated 371 participants who had undergone medical check-ups for the spine. LSTV was evaluated using Castellvi\'s classification, and patients were divided into LSTV+ (type II-IV, L5 vertebra articulated or fused with the sacrum) and LSTV- groups. After propensity score matching for demographic data, we analyzed spinopelvic parameters, sacroiliac joint degeneration, clinical symptoms, and QOL for these two participant groups. Oswestry Disability Index (ODI) scores and EQ-5D (EuroQol 5 dimensions) indices were compared between the two groups.
    RESULTS: Forty-four patients each were analyzed in the LSTV + and LSTV- groups. The LSTV + group had significantly greater pelvic incidence (52.1 ± 11.2 vs. 47.8 ± 10.0 degrees, P = 0.031) and shorter pelvic thickness (10.2 ± 0.9 vs. 10.7 ± 0.8 cm, P = 0.018) compared to the LSTV- group. The \"Sitting\" domain of ODI (1.1 ± 0.9 vs. 0.6 ± 0.7, P = 0.011) and \"Pain/Discomfort\" domain of EQ-5D (2.0 ± 0.8 vs. 1.6 ± 0.7, P = 0.005) were larger in the LSTV + group.
    CONCLUSIONS: There was a robust association between LSTV and pelvic sagittal parameters. Clinical symptoms also differed between the two groups in some domains. Surgeons should be aware of the relationship between LSTV assessment, radiographic parameters and clinical symptoms.
    METHODS:
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  • 文章类型: Journal Article
    目的:评估三位具有不同经验水平的超声检查者对六个宫颈和骨盆参数进行超声检查的可靠性。
    方法:一项横断面研究是在孕龄≥39周的孕妇中进行的。每位孕妇都由两名具有不同经验水平的超声医师进行检查。测量了六个参数:宫颈长度(CL),宫颈应变弹性成像(外在型),颈椎后角(PCA),胎儿头-会阴距离(FHPD),胎儿头部至耻骨联合距离(FHSD),和发展角度(AOP)。使用组内相关系数以95%的置信区间评估观察者内部和观察者之间的可靠性。采用Pearson成对相关系数分析各参数值之间的相关性。
    结果:总而言之,66名孕妇参加了这项研究。我们发现CL测量的观察者内部可靠性很好,PCA,FHPD,FHSD,和AOP和良好到优异的观察者内可靠性宫颈应变值在内部口区域的宫颈内膜的横截面视图和整个宫颈在内部口区域的横截面视图。所有骨盆参数的观察者间可靠性都很好,除了FHPD.内部操作系统区域的应变值中等至优异。观察到CL与内部操作系统的应变值之间存在显着负相关。
    结论:骨盆参数,除了FHPD,具有出色的观察者内部和观察者之间的可靠性。CL和颈部应变弹性成像在内部操作系统水平的高重现性,这两个参数之间呈负相关,可能在预测成功引产中起重要作用。
    OBJECTIVE: To assess the reliability of sonographic measurements of six cervical and pelvic parameters by three sonographers with varying levels of experience.
    METHODS: A cross-sectional study was conducted in pregnant women with a gestational age of ≥39 weeks. Each pregnant woman was examined by two sonographers with different levels of experience. Six parameters were measured: cervical length (CL), cervical strain elastography (extrinsic type), posterior cervical angle (PCA), fetal head-to-perineum distance (FHPD), fetal head-to-pubic symphysis distance (FHSD), and angle of progression (AOP). Intra- and interobserver reliabilities were assessed using the intraclass correlation coefficient with a 95% confidence interval. Pearson pairwise correlation coefficients were used to analyze the correlation between the parameter values.
    RESULTS: In all, 66 pregnant women were enrolled in this study. We found excellent intraobserver reliability for measurements of CL, PCA, FHPD, FHSD, and AOP and good-to-excellent intraobserver reliability for cervical strain values in the cross-sectional view of the endocervix in the internal os area and cross-sectional view of the entire cervix in the internal os area. Interobserver reliability was excellent for all pelvic parameters, except for the FHPD. Strain values were moderate to excellent in the area of the internal os. A significant negative correlation between CL and strain values at the internal os was observed.
    CONCLUSIONS: Pelvic parameters, except for FHPD, have excellent intra- and interobserver reliabilities. The high reproducibility of CL and cervical strain elastography at the internal os level, with a negative correlation between these two parameters, may play an important role in predicting successful induction of labor.
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  • 文章类型: Journal Article
    目的:腰椎退行性后凸(LDK),灵活的畸形,是亚洲国家常见的矢状失衡形式。在确定手术计划以获得良好的临床和影像学结果时,在手术前使用位置性射线照片评估患者的脊柱变得越来越重要。尤其是柔性畸形患者。这项研究旨在确定LDK校正后仰卧位骨盆倾斜(sPT)的影像学特征及其与机械故障(MF)的关系。
    方法:单中心,我们对2014年1月至2019年5月接受LDK矫正术和骶管骨盆固定术的患者进行了单外科医生回顾性分析.根据术后骨盆倾斜(PT)和sPT之间的差异,将患者分为骨盆匹配和不匹配组。人口统计,外科,和射线照相参数进行了比较。通过比较术前评估PT的时间变化,仰卧,术后即刻,最后的PT。
    结果:PT匹配组(n=25)和不匹配组(n=42)之间的基线人口统计学和矢状对齐相似(p>0.05)。PT匹配组和错配组之间的MF发生率存在显着差异(4%vs31%,p=0.021)。多变量分析表明,在加入控制变量后,PT错配与MF发展的可能性独立相关(OR33.42,p=0.04)。
    结论:sPT反映了术后PT的变化;因此,仰卧位成像可能是一种工具,可用于LDK患者或成人柔性脊柱畸形患者的术前决策。PT不匹配>10°或<0°是LDK校正后MF的重要风险因素。sPT的测量将帮助外科医生进行最佳的术前计划并最大程度地减少畸形矫正手术后的灾难性MF。
    OBJECTIVE: Lumbar degenerative kyphosis (LDK), a flexible deformity, is a common form of sagittal imbalance in Asian countries. Assessing a patient\'s spine prior to surgery by using positional radiographs is becoming more crucial in determining surgical planning to achieve favorable clinical and radiographic outcomes, especially in patients with flexible deformities. This study aims to identify radiographic characteristics of supine pelvic tilt (sPT) and its relation to mechanical failure (MF) following LDK correction.
    METHODS: A single-center, single-surgeon retrospective analysis was performed in patients who underwent LDK correction with sacropelvic fixation between January 2014 and May 2019. Patients were grouped into pelvic match and mismatch groups according to the difference between postoperative pelvic tilt (PT) and sPT. Demographic, surgical, and radiographic parameters were compared. Chronological change of PT was assessed by comparing preoperative, supine, immediate postoperative, and final PT.
    RESULTS: Baseline demographics and sagittal alignments were similar between PT match (n = 25) and mismatch (n = 42) groups (p > 0.05). There was a significant difference in the rate of MF between PT match and mismatch groups (4% vs 31%, p = 0.021). Multivariable analysis demonstrated that after including control variables, PT mismatch was independently associated with the likelihood of MF development (OR 33.42, p = 0.04).
    CONCLUSIONS: sPT reflects postoperative PT changes; therefore, supine imaging may represent a tool that could be used for preoperative decision-making in patients with LDK or possibly those with flexible adult spinal deformity. PT mismatch > 10° or < 0° is a significant risk factor for MF following correction of LDK. Measurement of sPT would aid surgeons in optimal preoperative planning and in minimizing catastrophic MF following deformity correction surgery.
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  • 文章类型: Journal Article
    这项研究的目的是确定密尔沃基支具和胸腰骶骨矫形器(TLSO)对青少年Scheuermann\'s后凸(SK)的头骨盆矢状位的影响。共研究了52名接受支撑治疗的SK青少年。他们接受了头部到骨盆的双平面射线照相(EOS成像,巴黎,法国)在开始支撑之前和之后6个月。我们测量了T1斜率,颈部倾斜(NT),颈椎矢状面垂直轴(cSVA),胸廓入口角(TIA),C0-C2脊柱前凸,C2-C7脊柱前凸,胸椎后凸(TK),腰椎前凸(LL),骨盆发病率(PI),骨盆倾斜(PT),骶骨斜坡(SS),矢状垂直轴(SVA)和T1脊柱骨盆倾角(T1SPi)。TIA基线值无显著差异,PT,SS,PI,SVA,TK,cSVA,两组间NT和T1斜率比较(p>0.05)。T1斜率的基线和最终测量值之间存在显着差异,cSVA,TK,LL,T1SPi和TIA在两组中均有统计学意义(p<0.05)。结果表明,支具治疗可以显着影响SK青少年的头部到骨盆矢状参数。然而,比较TLSO和密尔沃基支架的短期效果时,头骨盆矢状参数值没有显着差异。
    The aim of this study was to determine the effects of the Milwaukee brace and thoracolumbosacral orthosis (TLSO) on head to pelvis sagittal alignment in adolescents with Scheuermann\'s kyphosis (SK). A total of 52 adolescents with SK who were under brace treatment were studied. They underwent biplanar radiography of the head to pelvis (EOS Imaging, Paris, France) before and 6 months after the beginning of bracing. We measured T1 slope, neck tilt (NT), cervical sagittal vertical axis (cSVA), thoracic inlet angle (TIA), C0-C2 lordosis, C2-C7 lordosis, thoracic kyphosis (TK), lumbar lordosis (LL), pelvic incidence (PI), pelvic tilt (PT), sacral slope (SS), sagittal vertical axis (SVA) and T1 spinopelvic inclination (T1SPi). There were no significant differences in baseline values of TIA, PT, SS, PI, SVA, TK, cSVA, NT and T1 slope between the two groups (p > 0.05). There were significant differences between the baseline and final measurements of T1 slope, cSVA, TK, LL, T1SPi and TIA in both groups (p < 0.05). The results imply that brace treatment can significantly affect head to pelvis sagittal parameters of adolescents with SK. However, there are no significant differences in the values of head to pelvis sagittal parameters when comparing short-term effect of TLSO and the Milwaukee brace.
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  • 文章类型: Journal Article
    背景:脊柱结核(STB)的椎体受累晚期可导致椎体塌陷,严重时会导致后凸畸形和截瘫。手术适用于患有致残背痛的患者,进行性神经功能缺损,和脊柱不稳定,尽管保守的管理。腰椎参数的紊乱,尤其是腰椎前凸的丧失已被发现会导致患者的功能恶化。有了目前的证据,这项研究是为了评估腰椎前凸恢复之间的相关性,骨盆参数,和功能结果时,仅使用后路方法来管理腰椎STB。
    方法:经放射学证实的腰椎活动性结核(L1-S1)(X线,包括MRI)和组织病理学检查。所有计划手术的病例都接受了X光片,CT扫描,和MRI扫描。在X射线上计算腰椎前凸和其他骨盆参数。在随访期间记录VAS评分和ODI评分以评估功能健康状况。
    结果:本研究共纳入33例(22M:11F)患者。术前平均腰椎前凸为-22.84±11.19°,术后校正为-37.03±9.02°(p<0.05)。术前骨盆倾斜为25.33±6.75°,术后校正为19.63±5.84°(p<0.05)。最终随访时,平均ODI从84.33±11.84提高到26.93±8.74(p<0.05)。术前平均VAS评分为8.06±1.27,术后改善为2.45±0.93(p<0.05)。
    结论:研究发现ODI评分与腰椎前凸之间存在很强的负相关,骨盆倾斜与ODI评分之间存在很强的正相关。但是,这种相关性需要通过精心构建的研究进一步研究和评估,尤其是保守治疗的对照组。
    BACKGROUND: The advanced stage of vertebral involvement in spinal tuberculosis (STB) can cause vertebral body collapse, which leads to kyphotic deformity and paraplegia in severe cases. Surgery is indicated in patients having disabling back pain, progressive neurological deficit, and instability in spine despite conservative management. The derangement of lumbar parameters, especially the loss of lumbar lordosis has been found to cause functional deterioration in patients. With the current evidences in place, this study was done to evaluate the correlation between the restoration of lumbar lordosis, pelvic parameters, and functional outcome when posterior only approach was used to manage the lumbar STB.
    METHODS: Active Tuberculosis of lumbar vertebra (L1-S1) confirmed by radiology (X-ray, MRI) and histopathological examination were included. All the cases scheduled for surgery underwent radiographs, CT scan, and MRI scans. Lumbar lordosis and other pelvic parameters were calculated on X-rays. VAS scores and ODI scores were documented during the follow-up to assess functional well-being.
    RESULTS: A total of 33 (22 M:11 F) patients were included in the study. The mean lumbar lordosis pre-operatively was -22.84 ± 11.19° which was corrected to -37.03 ± 9.02° (p < 0.05) post-operatively. The pelvic tilt pre-operatively was 25.33 ± 6.75° which was corrected to 19.63 ± 5.84° (p < 0.05) post-operatively. The mean ODI improved from 84.33 ± 11.84 to 26.93 ± 8.74 (p < 0.05) at the final follow-up. The mean VAS score pre-operatively was 8.06 ± 1.27 which improved to 2.45 ± 0.93 (p < 0.05) in the post-operative period.
    CONCLUSIONS: The study found a strong negative correlation between ODI scores and lumbar lordosis and a strong positive correlation between pelvic tilt and ODI scores. But the correlation needs to be further studied and evaluated by a well-constructed study especially with a control group treated conservatively.
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  • 文章类型: Journal Article
    OBJECTIVE: A normal age-adjusted sagittal alignment is an important factor in achieving long-term functional results after lumbar spinal fusion. We aim to determine if the changes in spino-pelvic alignment (SPA) correlate with post-operative functional outcomes in patients who underwent instrumented lumbar spine surgery when the parameters were not measured before.
    METHODS: A retrospective review of medical records from 2012 to 2016, and radiographs of the patients who underwent instrumented fusion of the lumbar spine. The X-rays of the available preoperative lumbar spine were reviewed for SPA and compared with the last follow-up postoperative images. The patients were contacted by telephone to complete the EuroQoL 5 Dimensions 5-level questionnaire and visual analog scale for evaluation of their functional outcomes during 2017. Correlation studies were performed using Pearson\'s coefficient.
    RESULTS: Forty-six patients were included with a mean age of 53 years and a follow-up of 47 months. There was a significant improvement in the functional outcomes and pain in the whole group. All the patients showed improvement in their SPA, and those who underwent more than two levels of fusion showed a significant improvement (P<0.05). Lumbar lordosis and sacral slope had a significant correlation with postoperative clinical improvement (R=0.8).
    CONCLUSIONS: The study showed that single or double fusion has significant improvement in pain and functional outcome with a significant change in SPA.
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  • 文章类型: Journal Article
    UNASSIGNED: This is a descriptive observational study.
    UNASSIGNED: The objective of this study is to analyze and document the sagittal alignment of the spine and pelvis in normal Indian adult volunteers and compare these parameters with the study population of other races and ethnicities.
    UNASSIGNED: Given the importance of the spinopelvic parameters, there is a need to describe the parameters differentially in relation to the ethnicity of the studied individual. Very few reports have defined the normal physiological value. Ethnic differences are a significant factor not only when describing the anthropometric data but also when applying the findings to a different ethnic group. We have compared these values with other races and ethnicities so that we can know whether the principles of spinal fixation can be applied globally.
    UNASSIGNED: In total, 100 participants were studied by using their anteroposterior and lateral radiographic images of whole of pelvic and spinal area. Additionally, various spinal and pelvic parameters were also measured. Subsequently, the outcomes were analyzed with respect to age, sex, and body mass index (BMI). The correlation between different parameters and differences in these parameters between Indians and other races/ethnicities along with population groups were also analyzed.
    UNASSIGNED: There was a significant increase in thoracic kyphosis (TK) from T1-T12 and T4-T12 with increasing age. Lumbar lordosis (LL), sacral translation (sagittal vertical axis), and pelvic tilt were significantly higher among females. Additionally, sacral slope (SS), pelvic incidence, C7 sagittal offset, and T9 sagittal offset were also higher in females. TK (T4-T12 and T1-T12), LL, SS, and pelvic incidence showed a significant correlation with BMI. As compared to European population, TK, segmental LL, and sacral translation were found to be significantly lesser in Indian population.
    UNASSIGNED: There is a statistically significant difference between Indians and other races/ethnicities and population groups with respect to TK, LL, and sacral translation. The values obtained can be considered as the physiological normal values for Indian population. Importantly, these values can serve as the reference values for future studies.
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  • 文章类型: Journal Article
    Pelvic incidence (PI) is assumed to be fixed, yet studies have reported PI changes after long fusions to the pelvis. In a cohort of ASD patients undergoing surgery with S2-alar-iliac (S2AI) screws, we sought to: (1) report the magnitude of PI changes, and (2) evaluate subsequent pelvic parameter changes.
    A retrospective case series of ASD patients undergoing surgical correction with S2AI screw placement and sagittal cantilever correction maneuvers was conducted. Patients were categorized based on preoperative PI: High-PI (H-PI) (PI ≥ 60°); Normal-PI (N-PI) (60° > PI > 40°); Low-PI (L-PI) (PI ≤ 40°). PI was measured preoperatively and immediately postoperatively. A significant PI change was established a priori at ≥ 6.0. PI, pelvic tilt (PT), lumbar lordosis (LL), and PI-LL mismatch were analyzed.
    In 68 patients (82.3% female, ages 22-75 years), the average change in PI was 4.6° ± 3.1, and 25 (36.8%) had a PI change ≥ 6.0° with breakdown as follows: H-PI 12 (66.7%) patients, 9 (25.87%) patients, and 4 (33.3%) patients. Of 25 patients with PI changes, 10 (14.7%) had a PI increase and 15 (22.1%) had a PI decrease. Significant improvements were seen in PT, LL, PI-LL mismatch in all patients with a PI change ≥ 6.0°, in addition to both subgroups with an increase or decrease in PI.
    PI changes of ≥ 6.0° occurred in 36.8% of patients, and H-PI patients most commonly experienced PI changes. Despite PI alterations, pelvic parameters significantly improved postoperatively. These results may be explained by sacroiliac joint laxity, S2AI screw placement, or aggressive sagittal cantilever techniques.
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  • 文章类型: Journal Article
    OBJECTIVE: Some clinical situations, such as great sagittal imbalance, high-grade isthmic spondylolisthesis or sacral malunion could require a sacral osteotomy to decrease pelvic parameters, horizontalize the sacrum or correct sacral malunion. Here is described a novel technique to perform a sacral osteotomy to decrease pelvic parameters with a lumbo-pelvic construct, with first a sacral slope decrease, then a pelvic tilt decrease.
    METHODS: Simulations have been performed using tridimensional reconstructions of the lumbar spine and pelvis, made from CT-scan images of a healthy individual. A cadaveric study has then been performed.
    RESULTS: 3D modeling exhibited linear relationship between osteotomy angle and pelvic incidence correction, through multiple simulations with 1° increment. Cadaveric study demonstrated feasibility.
    CONCLUSIONS: This preliminary work shows that this technique is efficient to decrease pelvic parameters. A linear relationship has been exhibited between osteotomy angle and PI decrease, as per the following formula: osteotomy angle=PI change/0.84.
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