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Li XF  Liu ZD  Wang ZY  Nie WZ 《中华外科杂志》2010,48(21):1646-1649
目的 研究青少年特发性脊柱侧凸(AIS)在轴向负载条件下胸廓结构对椎体旋转的影响.方法 基于AIS患者CT扫描数据,构建包括胸廓和不包括胸廓两种三维有限元模型,进入ANSYS前处理器,设置边界条件和载荷,进入求解模块,进行不同载荷下轴向负载模拟计算,最后进入ANSYS后处理器,读取并分析脊柱侧凸不同椎体旋转角度大小和方向变化.结果 胸廓对胸椎结构性侧凸以上椎体的旋转角度大小和旋转方向有明确影响,对腰椎椎体和骶椎的旋转没有作用.胸廓对顶椎的轴向旋转角度仅有轻度影响,两种模型在不同载荷条件下,顶椎的旋转方向一致,角度大小比较差异无统计学意义.结论 AIS脊柱畸形造成椎体和胸廓结构的解剖学改变,会带来生物力学的相应改变.畸形的胸廓不能有效保护胸椎轴向旋转的稳定性.  相似文献   

3.
A computer-implemented biomechanical model of a thoracolumbar spine and deformable rib cage was used to investigate the influence of spine morphology and rib cage stiffness properties on the rib cage deformities that arise from scoliosis and to study the relationship of actual rib distortions with those seen on computed tomography (CT) scans. For the purposes of this study, it was assumed that rib cage deformities result from forces imposed on the ribs by the deforming spine. When a structurally normal rib cage was allowed to follow freely the imposition of scoliotic curves on the spine, different configurations of scoliosis led to substantial differences in the resulting rib cage deformities. Rib cage lateral offset correlated well with the Cobb angle of the scoliosis but not with the apical vertebral axial rotation, whereas rib cage axial rotation correlated well with apical vertebral axial rotation but not with the Cobb angle. These model-obtained findings mirror clinical findings that correction of the Cobb angle leads to correction of the lateral offset of the rib cage but does not correlate well with correction of the rib cage axial rotation. The stiffnesses of the ligamentous tissue connecting the sternum to the pelvis, of the costovertebral joints, and of the ribs themselves also influenced the rib deformities substantially. The influence of the sternopelvic ligamentous ties has not been recognized previously. The total rib cage volume remained essentially constant regardless of the severity of the resulting deformity, but the distribution of this volume between convex and concave sides varied somewhat. Simulated CT scans of model rib cages suggested that distortions of individual ribs are substantially exaggerated in such images.  相似文献   

4.
Three-dimensional spinal curvature in idiopathic scoliosis   总被引:3,自引:0,他引:3  
Scoliosis is usually considered as a deformity of the spine in the frontal plane, without reference to curvatures in other planes. In this study, the three-dimensional shape of the spine of 104 patients with untreated idiopathic scoliosis (5-55 degrees Cobb) was studied by means of stereo radiographs to determine relationships between curvature of the spine in the frontal plane view, in the lateral view, and in the intermediate views. There was a weak but statistically significant correlation (r = 0.2) relating greater scoliosis with lesser kyphosis or greater lordosis. In the thoracic region, the sagittal plane spinal curvature was less than that measured in a population without scoliosis (mean difference, 7.72 +/- 9.9 degrees). Seventy-four of 76 scolioses in the upper region of the spine with lateral curvature greater than 5 degrees Cobb were kyphotic. Sixty-four of 84 curves greater than 5 degrees Cobb in the lower region were lordotic. Measuring curvatures in the plane of symmetry of the rotated apical vertebra altered these ratios to 69 of 76 kyphotic in the upper region and 68 of 84 lordotic in the lower region. The plane of maximum curvature of sections of the spine with scoliosis was not related to the plane of symmetry of the rotated apical vertebra, for in kyphotic regions of the spine the rotations of these two planes were in opposite directions. In all cases, the magnitudes of the rotations were quite different, i.e., by a factor of -0.22 for curves in thoracic region and by a factor of 0.24 for curves in the lumbar region. This implies that mechanical measures to correct this spinal deformity or to prevent progression should apply different rotations to the apex from those applied to the curve as a whole and, in opposite senses, in curves in kyphotic regions. There was no evidence of an abnormality of sagittal curvature of a magnitude to implicate it in the etiology or in the treatment.  相似文献   

5.
This study was carried out to analyze the three-dimensional and in particular the rotational correction obtained after spine instrumentation for idiopathic scoliosis. Preoperative and postoperative radiographs and computed tomographic scans with single axial cuts through each vertebral level were obtained for 14 patients: 4 Harrington, 7 Luque, and 3 Harrington-Luque. Rotation of vertebrae relative to the spinal axis and rotation between vertebrae (segmental rotation) were measured from computed tomographic scans of instrumented and uninstrumented segments. The derotation and changes occurring after surgery were calculated. Before operation, rotation was maximal at the apex, and close to 0 at the end vertebra; segmental rotation was greatest at the end of the curve, and minimal at the apex. After Harrington instrumentation the apical vertebrae showed a median derotation of 16%, after Luque instrumentation it was 12% and after Harrington-Luque instrumentation it was 13%. Segmental derotation did not uniformly occur. Major derotation was obtained at the end vertebrae and 39% of the total derotation occurred outside of the instrumented levels of the spine.  相似文献   

6.
K R Dai 《中华外科杂志》1992,30(11):667-9, 699
Since 1978, 108 cases of scoliosis with severe thoracic deformity have received thoracoplasty. Most of them were operated at the same time for correction of scoliosis. The resected ribs were served as bone graft for posterial spinal fusion. The rib prominence was reduced 2.5-6.9 cm after operation, and the costectomy also found to be beneficial to the correction of lateral curvature and axial rotation of the spine. The thoracoplasty showed no affect upon the pulmonary function. In this paper, three kinds of thoracoplasty and their indications are discussed and compared.  相似文献   

7.
T Takeuchi  K Abumi  Y Shono  I Oda  K Kaneda 《Spine》1999,24(14):1414-1420
STUDY DESIGN: Biomechanical evaluation was performed to investigate the stability of the thoracic spine. Unilateral resection of the intervertebral disc, the rib head joint, and the costotransverse joint were sequentially performed, and nondestructive cyclic loading tests were conducted at each injury stage to examine the roles of the intervertebral disc and the costovertebral joint of the thoracic spine. The effects of each resection were three-dimensionally analyzed as the main motion and the associated coupled motions. OBJECTIVE: To examine the role of the intervertebral disc and the costovertebral joint in stability of the thoracic spine. SUMMARY OF BACKGROUND DATA: The effects of unilateral resection of the intervertebral disc and the costovertebral joints in the thoracic spine with the rib cage have not been documented three-dimensionally in a biomechanical study. MATERIALS AND METHODS: Ten canine rib cage-thoracic spine complexes, consisting of the sixth to eighth ribs, the sternum and T5-T8 vertebrae, were used. Six pure moments along three axes, flexion-extension, lateral bending, and axial rotation, were applied to the specimen, and the angular deformation between T6-T7 was recorded by a stereophotogrammetric method. After the intact specimens were tested, staged resections were conducted in the following manner: partial resection of the T6-T7 intervertebral disc, performed as a resection of the anterior longitudinal ligament, the nucleus pulposus, and the annulus fibrosus on the approach side, leaving the posterior longitudinal ligament intact; resection of the right seventh rib head with the joint capsule; and resection of the right seventh costotransverse joint. At each stage, the main motion and associated coupled motions were determined three dimensionally. RESULTS: The ranges of motion (ROM) in flexion-extension, lateral bending, and axial rotation were significantly increased after partial discectomy (P < 0.01). Moreover, along with large increases in the ROM of the main motions in left axial rotation and right lateral bending, coupled motions, expressed by right lateral bending and left axial rotation, showed marked increases after resection of the rib head joint (P < 0.05). The neutral zones also increased in lateral bending, axial rotation, and flexion-extension after partial discectomy (P < 0.01). A further increase in the neutral zone was observed in lateral bending after resection of the right seventh rib head (P < 0.01). CONCLUSIONS: In this canine spine model, the intervertebral disc regulates the stability of the thoracic spine in flexion-extension, lateral bending, and axial rotation. Moreover, the articulation of the rib head with the vertebral bodies provides stability to the thoracic spine in lateral bending and axial rotation. Unilateral resection of the rib head joint after partial discectomy on the same side produces significant coupled motions in lateral bending and axial rotation, resulting in a significant decrease in thoracic spinal stability, and integrity.  相似文献   

8.

Background context

Adolescent idiopathic scoliosis (AIS) is a complex three-dimensional (3D) deformity of the spine involving deviations in the frontal plane, modifications of the sagittal profile, and rotations in the transverse plane. Although Lenke classification system is based on 2D radiographs and includes sagittal thoracic and coronal lumbar modifiers, Lenke et al. suggested inclusion of axial thoracic and lumbar modifiers in the analysis.

Purpose

To analyze axial plane of Lenke 1A curves to identify curve characteristics.

Study design

Retrospective study.

Patient sample

Seventy patients (49 women, 21 men) with Lenke Type 1A idiopathic scoliosis were analyzed.

Outcome measures

Coronal, sagittal, and axial parameters were measured from plain radiographs that were obtained at initial medical examination of the patients.

Methods

Coronal and sagittal plane and whole spine segmental vertebra rotations from thoracic 1 to lumbar 5 were evaluated in 70 AIS patients with Lenke 1A curves by using Drerup method. Three different subgroups were identified according to magnitude and direction of lower end vertebra (LEV) rotation.

Results

In Group 1 (Lenke 1A1), the direction of LEV rotation was same with other vertebrae in the main curve and the magnitude of the LEV rotation was less than −0.5°. In Group 2 (Lenke 1A2), the rotation of LEV was between −0.5° and 0.5° and so was accepted as neutral. In Group 3 (Lenke 1A3), the rotation of LEV had opposite direction with vertebrae in the main curve and the magnitude of LEV rotation was more than 0.5°. The mean thoracic Cobb angle of patients with Lenke 1A idiopathic scoliosis was 51.1° (range 37°–80°), whereas the mean lumbar Cobb angle was 16.4° (range 0°–32°). The mean angle of trunk rotation of the patients was 5.7° (range 1°–16°). In terms of maximum thoracic vertebra rotation, the mean rotation angle of Lenke 1A idiopathic curves was −18.9° (range −(9.8°–44.7°)). The mean maximum lumbar vertebra rotation was 4.5° (range −7.2° to 15.1°).

Conclusions

Addition of axial plane analysis to conventional coronal and sagittal evaluations in patients with Lenke 1A curves may reveal inherent structural differences that are not apparent in single planar radiographic assessments and may necessitate a different surgical strategy.  相似文献   

9.
Morphology of scoliosis: three-dimensional evolution   总被引:4,自引:0,他引:4  
R Perdriolle  J Vidal 《Orthopedics》1987,10(6):909-915
The clinical examination of the scoliotic child's profile shows that it does not correspond to the physiological curvatures. This three-dimensional study of scoliosis shows evidence of the existence of three components, frontal, sagittal, and axial. Each generates a pathological displacement of the vertebrae maximal at the apical vertebral level. Because of rotation, in order to analyze each of the components, radiographs must be taken along the frontal or sagittal plane of the vertebrae. A comparative study of the sagittal and frontal components during progression of scoliosis indicates that the apical vertebrae are displaced not only laterally but also forward and then backward. The apical vertebrae are situated anteriorly with respect to the end vertebrae. If the scoliotic curves progress, the apical vertebrae eventually become displaced backward. During this displacement at a given moment they are situated in the frontal plane of the child at the same level as the upper end vertebra; then they come to lie behind this if the scoliosis continues to progress. This explains why, when observed from the side, the appearance changes and passes through three successive stages, lordosis, flat back, and kyphosis.  相似文献   

10.
Rib shortening or lengthening are surgical options that are used to address the cosmetic rib cage deformity in scoliosis, but can also alter the equilibrium of forces acting on the spine, thus possibly counteracting in a mechanical way the scoliotic process and correcting the spinal deformities. Although rib surgeries have been successful in animal models, they have not gained wide clinical acceptance for mechanical correction of scoliosis due to the lack of understanding of the complex mechanisms of action involved during and after the operation. The objective of this study was to assess the biomechanical action of different surgical approaches on the rib cage for the treatment of scoliosis using a patient-specific finite element model of the spine and rib cage. Several unilateral and bilateral rib shortening/lengthening procedures were tested at different locations on the ribs (convex/concave side of the thoracic curvature; at the costo-transverse/costo-chondral joint; 20 and 40 mm adjustments). A biomechanical analysis was performed to assess the resulting geometry and load patterns in ribs, costo-vertebral articulations and vertebrae. Only slight immediate geometric variations were obtained. However, concave side rib shortening and convex side rib lengthening induced important loads on vertebral endplates that may lead to possible scoliotic spine correction depending on the remaining growth potential. Convex side rib shortening and concave side rib lengthening produced mostly cosmetic rib cage correction, but generated inappropriate loads on the vertebral endplates that could aggravate vertebral wedging. This study supports the concept of using concave side rib shortening or convex side rib lengthening as useful means to induce correction of the spinal scoliotic deformity during growth, though the effects of growth modulation from induced loads must be addressed in more detail to prove the usefulness of rib shortening/lengthening techniques.  相似文献   

11.
Measurement of axial rotation of vertebrae in scoliosis   总被引:3,自引:0,他引:3  
The authors report a radiographic method for measuring the axial rotation of vertebrae in degrees and its use in 99 patients with adolescent idiopathic scoliosis. The offset of the pedicle images from the vertebral body center and a "depth" estimate measured radiographically in a population of patients with scoliosis permitted calculation of axial rotation by means of a simple mathematical formula. It was found that measurements of vertebral rotation can be made clinically from single-plane radiographs with a standard deviation of 3.6 degrees (95% confidence limit +/- 7.1 degrees) based on a study of known rotations of a radiographic phantom, and with a standard deviation of 2.44 degrees (95% confidence limit +/- 4.8 degrees) based on comparisons with three-dimensional measurements of the orientation of each vertebra derived from low-dose stereo films of a group of patients. Measurements from clinical films are unlikely to be made more accurately than this, because of inherent geometric constraints.  相似文献   

12.
13.
J Sevastik  M Agadir  B Sevastik 《Spine》1990,15(8):822-825
Elongation of one rib on the right side by 1 cm was achieved in two groups of adult rabbits of different age, by osteotomy and application of a metallic expander. The procedure resulted in immediate deviation of the spine in the frontal and sagittal planes, with moderate scoliosis, convex to the left, and a significant decrease in the normal cervicothoracic lordosis and thoracolumbar kyphosis. Moreover, computed tomography (CT) scanning demonstrated rotation of vertebra about the longitudinal axis relative to the anterior midline of the body, and deviation of the spinous process toward the convex, left side, of the scoliotic deformity. Rib hump developed on the right side--that of the elongated rib. These changes, which occurred simultaneously in the three planes, were less pronounced in the group of older animals. Two weeks after the operation, the distorted configuration of the spine remained unchanged. The observed changes in the alignment of the vertebrae--changes that, except for their direction on the horizontal plane, resembled those associated with idiopathic scoliosis in man--support the earlier proposed link between the early stage of development of this condition and asymmetry of rib growth.  相似文献   

14.
A G Veldhuizen  P J Scholten 《Spine》1987,12(9):852-858
A coupling between the lateral flexion and axial rotation as a result of the geometric arrangement of the motion segments is well known in a normal spine. The kinematic behavior of idiopathic scoliotic spines has been analyzed by means of a biomechanical model study and a radiologic study. The anteroposterior and lateral flexion radiographs of 40 patients with progressive adolescent idiopathic scoliosis were studied. In five of these patients, anteroposterior radiographs were also made with the spine in a ventrally flexed position. The kinematic behavior of a nonpathologic spine was examined by means of a three-dimensional, nonlinear geometric mathematical model of the spine. The frontal plane inclination of the facet joints in conjunction with the vertebral orientation in the sagittal plane influence the kinematic behavior in the normal spine. In a scoliotic spine, there is an axially rotated position and, in most cases, a dorsal inclination (lordotic) of the motion segments. Nevertheless, the direction of the axial rotation during lateral flexion does not differ from the direction of the axial rotation during lateral flexion in a normal spine. The existing axial rotation in idiopathic scoliosis cannot be explained on the basis of spinal kinematics. In contrast to normal spines, in scoliotic spines exists a coupling between ventral flexion or extension and axial rotation. This may be essential in the management of idiopathic scoliosis.  相似文献   

15.
INTRODUCTION: The lateral bending test is used for the preoperative evaluation of scoliotic patients in order to determine the type of spinal curvatures as well as to assess spine flexibility and possible corrections. However, very few biomechanical studies have been dedicated to the analysis of lateral bending. In this article, a biomechanical model of the human trunk has been used in order to evaluate the possibility of simulating lateral bending tests. METHODS: This model includes elements representing the osseo-ligamentous structures of the spine, rib cage and pelvis, as well as 160 muscle fascicles represented by bilinear cable elements. For 4 scoliotic patients (right thoracic and left lumbar curvatures), 3D upright standing and bending reconstructions were generated from calibrated x-rays and used to calculate the displacements of the vertebrae T1 and L5. These displacements were applied to the model in standing position in order to simulate lateral bending. The resulting geometry of the deformed model was compared to the reconstructed geometry in lateral bending for the other vertebral levels (T2 to L4). RESULTS: The model allows the reproduction of the thoracic Cobb angle modifications with an accuracy superior to 2 degrees, as well as the vertebral rotations in the frontal plane (agreement greater than 85%). The positions of the vertebral body centroids following the simulations showed an agreement of over 77% with reconstructed positions. The direction of the axial angulation for the thoracic and lumbar apical vertebrae is correctly reproduced by the model. The axial rotation for these vertebrae does not result in a common pattern for the 4 patients, which is consistent with the diversity of published data concerning the direction of this coupling. CONCLUSIONS: This study shows the feasibility of simulating lateral bending tests using a 3D biomechanical model integrating muscles. The effect of muscle forces on trunk stiffness and intersegmental mobility can also be assessed using this approach. Future developments should enable the evaluation of the biomechanical properties of scoliotic deformities, thus providing a useful tool for preoperative surgical planning.  相似文献   

16.
Rotations of a helix as a model for correction of the scoliotic spine.   总被引:4,自引:0,他引:4  
S J Tredwell  B J Sawatzky  B L Hughes 《Spine》1999,24(12):1223-1227
STUDY DESIGN: A prospective study using intraoperative stereophotogrammetry to analyze helical motion of the spine during the correction of scoliosis. OBJECTIVE: To determine whether derotation systems rotate the scoliotic helix. SUMMARY OF BACKGROUND DATA: Scoliosis is a complex three-dimensional deformity that is difficult to visualize on standard radiographs. The use of stereophotogrammetry has allowed study of the deformity in three dimensions during surgical correction. METHODS: Thirty-five patients with right thoracic adolescent idiopathic scoliosis were studied using a stereophotogrammetry technique during surgical correction. Changes in vertebral unique rotations and spinal plane of maximum deformity were measured during three sequential stages of the surgery. RESULTS: The mean preoperative and postoperative Cobb angles were 58 degrees and 19 degrees, respectively. Most rotation occurred at the top and bottom vertebrae in the curve, averaging 10 degrees each but in opposite directions. The apical vertebra rotated the least in the structural curve, with an average rotation of 5 degrees. Much of the rotation occurred during the derotation maneuver with additional rotation occurring during the final distraction. The plane of maximum deformity changed from a mean of 50 degrees before instrumentation to 19 degrees at the end of the procedure. CONCLUSIONS: Multiple rotations of the scoliotic curve occur, and it can be shown when maximum rotations occur during surgery. Posterior derotational systems unwind or rotate the scoliotic helix and reposition the resultant sine wave toward the sagittal plane as described by the change in the plane of maximum deformity.  相似文献   

17.
18.
Summary The rotation and structural changes of the apex vertebra in the horizontal plane as well as of the thoracic cage deformity were quantified by measurements on computed tomography (CT) scans from patients with right convex thoracic idiopathic scoliosis (IS). The CT scans were obtained from 12 patients with moderate scoliosis (mean Cobb angle 25.8°, r 13°–30°) and from 33 with severe scoliosis (mean Cobb angle 46.2°, r 35°–71°). In addition, CT scans of thoracic vertebrae from 15 patients without scoliosis were used as reference material. Ten of the scoliotic cases had had Cotrel-Dubousset instrumentation (CDI) and posterior fusion and had entered a longitudinal study on the effect of operative correction on the re-modelling of the apical vertebra. An increasingly asymmetrical vertebral body, transverse process angle, pedicle width and canal width were found in the groups with scoliosis as compared with the reference material. Vertebral rotation and rib hump index were significantly larger in patients with early and advanced scoliosis than in normal subjects. The modelling angle of the vertebral body, the transverse process angle index and the vertebral rotation in relation to the middle axis of the thoracic cage were significantly greater in patients with severe than with moderate scoliosis. The results of this longitudinal study suggest that the structural changes of the apical vertebra regress 2 years or more after CD instrumentation.  相似文献   

19.
Background contextIn vivo three-dimensional kinematics of the thoracic spine in trunk lateral bending with an intact rib cage and soft tissues has not been well documented. There is no quantitative data in the literature for lateral bending in consecutive thoracic spinal segments, and there has not been consensus on the patterns of coupled motion with lateral bending.PurposeTo demonstrate segmental ranges of motion (ROMs) in lateral bending and coupled motions of the thoracic spine.Study designIn vivo three-dimensional biomechanics study of the thoracic spine.Patient sampleFifteen healthy male volunteers.Outcome measuresComputed analysis by using voxel-based registration.MethodsParticipants underwent computed tomography of the thoracic spine in three supine positions: neutral, right maximum lateral bending, and left maximum lateral bending. The relative motions of vertebrae were calculated by automatically superimposing an image of vertebrae in a neutral position over images in bending positions, using voxel-based registration. Mean values of lateral bending were compared among the upper (T1–T2 to T3–T4), the middle-upper (T4–T5 to T6–T7), the middle-lower (T7–T8 to T9–T10), and the lower (T10–T11 to T12–L1) parts of the spine.ResultsAt lateral bending, the mean ROM (±standard deviation) of T1 with respect to L1 was 15.6°±6.3° for lateral bending and 6.2°±4.8° for coupled axial rotation in the same direction as lateral bending. The mean lateral bending of each spinal segment with respect to the inferior adjacent vertebra was 1.4°±1.3° at T1–T2, 1.3°±1.2° at T2–T3, 1.4°±1.3° at T3–T4, 0.9°±0.9° at T4–T5, 0.8°±1.0° at T5–T6, 1.1°±1.1° at T6–T7, 1.7°±1.2° at T7–T8, 1.3°±1.2° at T8–T9, 1.6°±0.7° at T9–T10, 1.8°±0.8° at T10–T11, 2.3°±1.0° at T11–T12, and 2.2°±0.8° at T12–L1. The smallest and the largest amounts of lateral bending were observed in the middle-upper and the lower parts, respectively. There was no significant difference in lateral bending between the upper and the middle-lower parts. Coupled axial rotation of each segment was generally observed in the same direction as lateral bending. However, high variability was found at the T2–T3 to T5–T6 segments. Coupled flexion was observed at the upper and middle parts, and coupled extension was observed at the lower part.ConclusionsThis study revealed in vivo three-dimensional motions of consecutive thoracic spinal segments in trunk lateral bending. The thoracolumbar segments significantly contributed to lateral bending. Coupled axial rotation generally occurred in the same direction with lateral bending. However, more variability was observed in the direction of coupled axial rotation at T2–T3 to T5–T6 segments in the supine position. These results are useful for understanding normal kinematics of the thoracic spine.  相似文献   

20.
Summary In order to investigate the development of the vertebral axial rotation in patients with early scoliosis, the vertebral rotation angle (VRA) was quantified on the basis of 132 anteroposterior radiographs obtained from patients with diagnosed or suspected scoliosis. The rotation was measured in the apical vertebra and in the two suprajacent and two subjacent vertebrae. The radiographic material was divided into a control reference group and three scoliotic groups with varying Cobb angle from 4° up to 30°. In the reference group a slight vertebral rotation was significantly more often seen to the right. In the scoliotic groups, the rotation was most pronounced in the apical segments. The mean VRA toward the convex side was significantly increased in the vertebrae just suprajacent to the apex in curves with a Cobb angle of 8°–15° and in the cranial four vetebrae in curves with a Cobb angle of 16°–30°. Atypical vertebral rotation to the opposite side of the major curve was observed in 12.8% of the cases. There was a significant positive correlation between the VRA and the Cobb angle. These results show that a slight VRA to the right is a common feature in the normal spine, and that the VRA increases with progressive lateral deviation of the spine. It is concluded that the coronal plane deformity in early idiopathic scoliosis is accompanied and probably coupled to vertebral rotation in the horizontal plane.  相似文献   

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