Skip to main content

The association of rod curvature with postoperative outcomes in patients undergoing posterior lumbar interbody fusion for spinal stenosis: a retrospective case–control study

A Correction to this article was published on 20 May 2023

This article has been updated



Restoration of sagittal balance is a crucial consideration in posterior lumbar interbody fusion (PLIF) surgery and adverse postoperative outcomes are associated with inadequate restoration of sagittal alignment. However, there remains a shortage of substantial evidence regarding the effect of rod curvature on both sagittal spinopelvic radiographic parameters and clinical outcomes.


A retrospective case–control study was conducted in this study. Patient demographics (age, gender, height, weight and BMI), surgical characteristics (number of fused levels, surgical time, blood loss and hospital stay) and radiographic parameters (lumbar lordosis [LL], sacral slope [SS], pelvic incidence [PI], pelvic tilt [PT], PI-LL, Cobb angle of fused segments [Cobb], rod curvature [RC], Posterior tangent angle of fused segments [PTA] and RC-PTA) were analyzed.


Patients in the abnormal group had older mean age and suffered more blood loss than those in the normal group. In addition, RC and RC-PTA were significantly lower in the abnormal group compared to the normal group. Multivariate regression analysis revealed that lower age (OR = 0.94; 95% CI: 0.89–0.99; P = 0.0187), lower PTA (OR = 0.91; 95% CI: 0.85–0.96; P = 0.0015) and higher RC (OR = 1.35; 95% CI: 1.20–1.51; P < 0.0001) were related to higher odds of better surgical outcomes. The receiver operating characteristic curve analysis showed that the ROC curve (AUC) for predicting outcomes of surgery by RC classifier was 0.851 (0.769–0.932).


In patients who underwent PLIF surgery for lumbar spinal stenosis, those who had a satisfactory postoperative outcome tended to be younger, had lower blood loss, and higher values of RC and RC-PTA compared to those who had poor recovery and required revision surgery. Additionally, RC was found to be a reliable predictor of postoperative outcomes.

Peer Review reports


Lumbar spinal stenosis affects approximately 103 million people worldwide [1]. Various treatment modalities include oral medications, physical therapy, injections, bracing, and surgical treatment [2]. Surgical treatment such as decompression alone, decompression with fusion, and percutaneous decompression is considered effective when treating severe spinal stenosis, and routine care after surgery also plays a role in improving prognosis [3].

Posterior lumbar interbody fusion (PLIF) was first reported to be successfully performed in 1940s and later promoted by the combination with pedicle screw techniques from 1980s [4]. PLIF relieves pressure on the spinal cord and nerve roots and provides support and stability through internal fixation instruments. Posterior screw-rod instrumentation is a well-established internal fixation system to provide sufficient support and restores sagittal balance during PLIF surgery. The rod curvature is suggested to be consistent with physiological LL to maintain spinal balance. Restoration of sagittal balance is a key issue in lumbar fusion surgery. Adverse postoperative outcomes are many times ascribed to inadequate restoration of sagittal alignment [5]. The SRS-Schwab Adult Spinal Deformity Classification reported that sagittal vertical axis (SVA), pelvic tilt (PT), and the difference between pelvic incidence (PI) and lumbar lordosis (LL) (i.e. PI-LL) were significantly associated with health-related quality of life (HRQOL) [6]. Yigor et al. presented Global Alignment and Proportion (GAP) score, including PI, sacral slope (SS), LL, Global Tilt and age factors, to predict prognosis in patients with spinal deformity [7].

Moufid et al. presented the mismatch analysis index (MAI) to describe the relationship between rod bending and post-operative LL in L3-L5 lumbar fusion [8]. Surgeons usually perform the rod bending procedure using a French bender according to their experience or preferences in clinal practice. Hence, the subjective behavior of rod bending brings about differences in rod curvature, which might have an impact on the clinical results. It was reported that rod flattening might lead to low back pain, flatback syndrome, acceleration of adjacent segment degeneration, and sagittal malalignment [9]. But there is still a lack of solid evidence on the correlation between rod curvature and clinical outcomes. Moreover, the appropriate degree of rod curvature is also needed to be further evaluated, although Shi et al. reported that the Cobb angle could be used as a reference for rod contouring for patients with thoracolumbar fractures [10].

Here, a retrospective clinical study was conducted to compare clinical and radiographic characteristics between patients who underwent posterior lumbar interbody fusion (PLIF) with satisfactory postoperative results and those who had poor prognoses resulted from adjacent segment degeneration and required revision surgery. We hypothesized that rod curvature was associated with adverse surgical results.

Material and methods


Patients who underwent PLIF surgery with the diagnosis of lumbar spinal stenosis were collected from the medical record data of Shanghai Changzheng Hospital from January 2015 to June 2021 with institutional review board (IRB) approval and informed consent (Approval No.2014SL031). We identified 133 patients who underwent PLIF. Among these 133 patients, normal and abnormal groups were further extracted by their inclusion criteria respectively. The normal group (n = 53) included the ones with satisfactory postoperative recovery of function and no obvious symptoms for at least 3 years, and excluded the ones (n = 11) with satisfactory but less 3 years. The abnormal group (n = 44) consisted of those who had poor recovery from the previous PLIF within 3 years, and required revision surgery for the reason of adjacent segment degeneration. Cases (n = 25) requiring surgery for infection or other reasons were excluded. Exclusion criteria were as follows: (1) apparent spinal deformity such as kyphosis, lordosis, and scoliosis; (2) lumbar spondylolisthesis with unsatisfactory operative reduction; (3) thoracolumbar vertebral fracture; (4) other diseases that cause obvious spinal instability. (5) follow-up period < 3 years after PLIF surgery.

Description of PLIF surgery

All the patients underwent PLIF with the same technique by the same surgical team. The surgical technique of PLIF was described as follows: the spine was approached through a longitudinal midline incision of the back and bilateral erector spinae are stripped off the lamina at the corresponding surgical site. After the insertion of pedicle screws, laminectomy was performed to allow the visualization of dural sac and nerve roots. The stenosis of spinal canal and nerve root canal was relieved and the pressured nerve was decompressed completely. Then the disc and adjacent endplates were removed and replaced with an interbody cage with bone graft.

Patient demographic and surgical characteristics

Patient demographics (age, gender, height, weight and BMI) and surgical characteristics (number of fused levels, surgical time, blood loss and hospital stay) were collected from the initial inpatient medical records in both groups. Lateral views of the lumbar spine were collected from the last follow-up in the Normal group and the latest examination before revision surgery in the Abnormal group. The radiographic parameters (Fig. 1) were measured as follows: (1) LL: the angle between the superior endplates of L1 and S1. (2) SS: the angle between S1 superior plate and the horizontal line. (3) PI: the angle between the perpendicular line of S1 superior endplate and the line connecting the midpoint of S1 superior endplate to the midpoint of two femoral head centers. (4) PT: the angle between the plumb line and the line connecting the midpoint of the S1 superior endplate to the midpoint of two femoral head centers. (5) PI-LL: the difference between PI and LL. (6) Cobb angle of fused segments (Cobb): the angle between the superior and inferior endplates of the fused vertebral bodies. (7) rod curvature (RC): intersecting tangent angle at each end of the convex rod. (8) Posterior tangent angle of fused segments (PTA): intersecting tangent angle on the cranial and caudal segments of the fused vertebral bodies. (9) RC-PTA: RC minus PTA.

Fig. 1
figure 1

Description of radiographic parameters in the lateral radiograph. Abbreviation: LL, lumbar lordosis; PT, pelvic tilt; PI, pelvic incidence; SS, sacral slope; RC, rod curvature; PTA, posterior tangent angle of fused segments

Statistics analysis

Continuous variables were expressed as mean (SD) and compared using t-test or Kruskal–Wallis rank sum test conditional on the distribution of the variables. Categorical variables were compared using the χ2 test or Fisher exact test. Considering that PI-LL mismatch was a widely accepted risk factor for operative disability [11], patients were categorized into two types (absolute value of PI-LL > 10° and ≤ 10°) and analyzed to evaluate the effect of PI-LL mismatch on surgical outcomes. A multivariate stepwise logistic regression was used to determine independent predictors for surgical effect (abnormal/normal). Receiver operating characteristic curve (ROC) analysis was used to calculate the optimal cutoff value for RC classifier that was determined by maximizing the Youden index (ie, sensitivity + specificity—1). The performance of RC classifier for predicting surgery outcomes was assessed by the sensitivity, specificity, predictive values and likelihood ratio values. Analyses were performed by SAS 9.4 (SAS Institute, Cary, NC) and R 3.6.3 (R Development Core Team) software. P < 0.05 was defined as a significant difference.


In this retrospective study, 44 and 53 patients were identified in abnormal and normal groups, respectively. A comparison of patient characteristics was shown in Table 1. Patients in the abnormal group had older mean age (59.91 ± 9.78 versus 52.72 ± 12.39, P = 0.002) and suffered more blood loss (419.32 ± 275.18 ml versus 343.40 ± 275.62 ml, P = 0.033) than patients in the normal group. No significant difference was observed between the two groups in aspects of gender, height, weight, BMI, surgical time and hospital stay. As for radiographic parameters, RC and RC-PTA were significantly lower in the abnormal group compared with the normal group (10.71° ± 7.98° versus 22.04° ± 7.9°, P < 0.001; -12.23° ± 11.22° versus 0.10° ± 10.21°, P < 0.001; (Fig. 2). But there was no difference in LL, PT, PI, SS, PI-LL, Cobb and PTA. In addition, PI-LL mismatch or not didn’t show a significant difference in abnormal and normal groups (P = 0.719).

Table 1 Comparison of patient characteristics in abnormal and normal groups
Fig. 2
figure 2

Typical cases show rod curvature differences between abnormal and normal groups

Multivariate regression analysis revealed that lower age (OR = 0.94; 95% CI: 0.89–0.99; P = 0.0187), higher RC (OR = 1.35; 95% CI: 1.20–1.51) and lower PTA (OR = 0.91; 95% CI: 0.85–0.96) were related to higher odds of better surgical outcome (Table 2). ROC curve analysis showed that RC classifier was a pretty good classifier for predicting postoperative outcomes. The area under the ROC curve (AUC) for predicting outcomes of surgery by RC classifier was 0.851 (0.769–0.932) and the optimal RC cut-off value was 13.70 (Supplementary Material 1).

Table 2 Multivariate stepwise logistic regression analysis of characteristics on surgical effects between abnormal and normal groups

Under this optimal cut-off value, the sensitivity was 0.89, specificity was 0.75, the positive predictive value was 0.81, negative predictive value was 0.85, positive likelihood ratio was 3.55 and negative likelihood ratio was 0.16 (Table 3). The AUC for predicting outcomes of surgery by RC-PTA classifier was 0.801 (0.713, 0.888) and the optimal RC cut-off value was -1.30 (Supplementary Material 2). Under this optimal cut-off value, the sensitivity was 0.60, specificity was 0.89, the positive predictive value was 0.86, negative predictive value was 0.65, positive likelihood ratio was 5.31 and negative likelihood ratio was 0.45.

Table 3 The performance of rod curvature (RC) for predicting postoperative outcomes under the optimal cutoff value


Current research demonstrated that insufficient RC and mismatch between RC and PTA (RC-PTA) were associated with adverse surgical outcomes when patients underwent PLIF surgery, even if the lumbar physiological parametersfollowed the recommendations from previous literature such as PI-LL < 11°and PT < 22° [6, 12, 13]. In this study, a new parameter called RC-PTA was introduced to assess the discrepancy between the contouring of rods and the curvature of the lumbar spine. The PTA method, which was proposed by Harrison et al. [14] and shown to be more suitable than the Cobb method for evaluating lumbar lordosis, was also used. Furthermore, this study revealed that RC was a reliable predictor of postoperative outcomes. From our findings, it also should be noted that the revision group had older age which can potentially lead to poorer outcomes, and slightly increased blood loss which might mean either a more complex fusion was performed, or patients had more bony or ligamental damage. Both variables could potentially confound the results.

To date, there are few studies about rod contouring in PLIF surgery. Shi et al. reported that 4° to 8° greater than the cobb angle of fused segments was suggested as the optimal reference angle for rod contouring in patients with thoracolumbar fractures [10]. Their study emphasized that the accuracy of rod bending angle was important for spinal sagittal balance and prevention of adjacent disc degeneration. Zhao et al. performed a retrospective analysis to evaluate the effect of contoured versus straight rods on the radiographic and clinical outcomes in patients undergoing the minimally invasive transforaminal lumbar interbody fusion (MIS-TLIF) at L4/5 level, and found contoured or straight rods had no statistical difference in global spinopelvic parameters and clinical outcomes in 5 years follow-up [15]. One possible explanation for this opposite finding relative to our results is that stripping off spinal muscles attached to the lamina in PLIF surgery could reduce the stability of posterior spine components and the muscular decollement might result in the risk of postoperative back pain. Besides, several works of literature focused on rod contouring in long segmental thoracolumbar deformity correction. Salmingo et al. demonstrated that preoperative implant rod curvature was relevant to postoperative rod deformation degree in adolescent idiopathic scoliosis (AIS) [16]. Yan et al. found that the mismatch between proximal rod contouring and proximal spinal curve might be a predisposing risk factor for postoperative proximal junctional kyphosis (PJK) in degenerative scoliosis [17]. Moreover, Wang et al. revealed that over 5° difference between proximal junctional angle and rod contouring angle (PJA-RCA) was a risk factor for PJK in Lenke I and II adolescent idiopathic scoliosis (AIS) patients [18]. Lafage et al. also indicated that proper rod contouring played a critical role in reducing the risk of PJK [19].

Polyaxial screws are user-friendly to rod installation during posterior spinal surgery, which allows mutual adaptation of screw heads and rods in certain deviations. In single-segment PLIF surgery with a small LL, some surgeons may prefer to use unbent rods, as noted in a previous study [15]. However, although polyaxial screws can partially compensate for LL and make the surgery more convenient, there may be a mismatch between the screw heads and the rod that could affect the amount of lordosis and clinical outcomes [9]. In certain cases, rod contouring alone may not be sufficient to achieve the desired LL [8]. A biomechanical study by Paik et al. reported that if a rod persuasion device was used to reduce the rod-pedicle screw mismatch, the peak pullout strength of the screw and failure energy significantly decreased, especially in the osteoporotic spine [20]. A finite element study also demonstrated that the correction of this mismatch could result in high forces at the screws and high stress in adjacent tissue and inferior spinal segments [21]. Combined with our results, it is suggested that surgeons should pay extra attention to rod contouring procedures to make the rods fit with corresponding spinal curvature.

As the realignment of sagittal balance was correlated with adequate rod curvature [22], reflecting the critical role of the intraoperative rod bending step, precise rod bending techniques are introduced to optimize this work. According to Wanivenhaus et al.'s study, the utilization of augmented reality technology in rod bending during surgery could lead to a reduction of 20% in surgery time and improvement in the accuracy of rod length [23]. In spine deformity surgery, patient-specific rods were also utilized to help achieve satisfactory sagittal alignment [9, 24]. Ohba et al. introduced a computer-assisted rod bending system to decrease the occurrence of screw pull-out and loosening after surgery [25]. Moreover, precise rod bending techniques could prevent repetitive bending operations that could increase the risk of metal fatigue [26].

This study confirmed that rod contouring procedure had an impact on clinical outcomes in patients with lumbar spinal stenosis undergoing PLIF surgery. Smaller RC and RC-PTA mismatches were found in patients who previously received PLIF and required lumbar revision surgery. Further, the RC was demonstrated to be a pretty good classifier for predicting postoperative outcomes. Our research revealed the importance of rod curvature relative to spinal alignment in lumbar pedicle screw-rod fixation surgery. Nevertheless, some limitations also should be acknowledged in our study. First, this study is a retrospective case–control study which is hard to avoid selection bias. Therefore, future studies with large sample size from multiple centers are needed to verify our results. Second, patient prognosis was influenced by various contributors. The duration and intensity of daily activities and the severity of lumbar degeneration varies among different patients, which were not taken into account in current research. Third, surgical-related factors such as the range and extent of surgical depression, sagittal spine re-alignment, the orientation of pedicle screws, might have an impact on patient outcomes. Further biomechanical experiments and randomized double-blind controlled clinical trials are recommended to validate the findings.


The study revealed significant differences in age, RC and RC-PTA between lumbar spinal stenosis patients who underwent PLIF surgery with satisfactory outcome and those who had poor prognosis resulted from adjacent segment degeneration and required revision surgery. RC was demonstrated to be a pretty good indicator for predicting postoperative outcomes.

Availability of data and materials

The datasets generated and analyzed during the current study are not publicly available due to patient privacy concerns but are available from the corresponding author on reasonable request.

Change history


  1. Katz JN, Zimmerman ZE, Mass H, Makhni MC. Diagnosis and management of lumbar spinal stenosis: a review. JAMA. 2022;327(17):1688–99.

    Article  PubMed  Google Scholar 

  2. Minetama M, Kawakami M, Teraguchi M, Enyo Y, Nakagawa M, Yamamoto Y, et al. Supervised physical therapy versus surgery for patients with lumbar spinal stenosis: a propensity score-matched analysis. BMC Musculoskelet Disord. 2022;23(1):658.

    Article  PubMed  PubMed Central  Google Scholar 

  3. Marchand AA, Houle M, O’Shaughnessy J, Chatillon CE, Cantin V, Descarreaux M. Effectiveness of an exercise-based prehabilitation program for patients awaiting surgery for lumbar spinal stenosis: a randomized clinical trial. Sci Rep. 2021;11(1):11080.

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  4. Fenton-White HA. Trailblazing: The historical development of the posterior lumbar interbody fusion (PLIF). Spine J. 2021;21(9):1528-41.

  5. Shah AA, Lemans JV, Zavatsky J, Agarwal A, Kruyt MC, Matsumoto K, et al. Spinal Balance/Alignment - Clinical Relevance and Biomechanics. J Biomechanical Eng. 2019;141.

  6. Terran J, Schwab F, Shaffrey CI, Smith JS, Devos P, Ames CP, et al. The SRS-Schwab adult spinal deformity classification: assessment and clinical correlations based on a prospective operative and nonoperative cohort. Neurosurgery. 2013;73(4):559–68.

    Article  PubMed  Google Scholar 

  7. Yilgor C, Sogunmez N, Boissiere L, Yavuz Y, Obeid I, Kleinstuck F, et al. Global Alignment and Proportion (GAP) Score: Development and Validation of a New Method of Analyzing Spinopelvic Alignment to Predict Mechanical Complications After Adult Spinal Deformity Surgery. J Bone Joint Surg Am. 2017;99(19):1661–72.

    Article  PubMed  Google Scholar 

  8. Moufid AY, Cloche T, Ghailane S, Ounajim A, Vendeuvre T, Gille O. Mismatch between rod bending and actual post-operative lordosis in lumbar arthrodesis with poly axial screws. Orthop Traumatol Surg Res. 2019;105(6):1143–8.

    Article  PubMed  Google Scholar 

  9. Branche K, Netsanet R, Noshchenko A, Burger E, Patel V, Ou-Yang D, et al. Radius of curvature in patient-specific short rod constructs versus standard pre-bent rods. Int J Spine Surg. 2020;14(6):944–8.

    Article  PubMed  Google Scholar 

  10. Shi Z, Wang G, Jin Z, Wu T, Wang H, Sun J, et al. Use of the sagittal Cobb* angle to guide the rod bending in the treatment of thoracolumbar fractures: a retrospective clinical study. J Orthop Surg Res. 2020;15(1):574.

    Article  PubMed  PubMed Central  Google Scholar 

  11. Schwab FJ, Blondel B, Bess S, Hostin R, Shaffrey CI, Smith JS, et al. Radiographical spinopelvic parameters and disability in the setting of adult spinal deformity: a prospective multicenter analysis. Spine (Phila Pa 1976). 2013;38(13):E803-12.

    Article  PubMed  Google Scholar 

  12. Schwab F, Ungar B, Blondel B, Buchowski J, Coe J, Deinlein D, et al. Scoliosis Research Society-Schwab adult spinal deformity classification: a validation study. Spine (Phila Pa 1976). 2012;37(12):1077–82.

    Article  PubMed  Google Scholar 

  13. Lafage V, Schwab F, Patel A, Hawkinson N, Farcy JP. Pelvic tilt and truncal inclination: two key radiographic parameters in the setting of adults with spinal deformity. Spine (Phila Pa 1976). 2009;34(17):E599-606.

    Article  PubMed  Google Scholar 

  14. Harrison DE, Harrison DD, Cailliet R, Janik TJ, Holland B. Radiographic analysis of lumbar lordosis: centroid, Cobb, TRALL, and Harrison posterior tangent methods. Spine (Phila Pa 1976). 2001;26(11):E235-42.

    Article  CAS  PubMed  Google Scholar 

  15. Zhao Y, Jia J, Liu W, Chen X, Mai R, Tian Y, et al. Influence of contoured versus straight rod on clinical outcomes and sagittal parameters in minimally invasive transforaminal lumbar interbody fusion (MIS-TLIF) at L4/5 level-more than 5 years follow-up. J Orthop Sci. 2020;25(1):89–95.

    Article  PubMed  Google Scholar 

  16. Salmingo RA, Tadano S, Abe Y, Ito M. Influence of implant rod curvature on sagittal correction of scoliosis deformity. Spine J. 2014;14(8):1432–9.

    Article  PubMed  Google Scholar 

  17. Yan P, Bao H, Qiu Y, Bao M, Varghese JJ, Sun X, et al. Mismatch Between Proximal Rod Contouring and Proximal Junctional Angle: A Predisposed Risk Factor for Proximal Junctional Kyphosis in Degenerative Scoliosis. Spine (Phila Pa 1976). 2017;42(5):E280–7.

    Article  PubMed  Google Scholar 

  18. Wang J, Yang N, Luo M, Xia L, Li N. Large difference between proximal junctional angle and rod contouring angle is a risk factor for proximal junctional kyphosis. World Neurosurg. 2020;136:e683–9.

    Article  PubMed  Google Scholar 

  19. Lafage R, Line BG, Gupta S, Liabaud B, Schwab F, Smith JS, et al. Orientation of the Upper-most Instrumented Segment Influences Proximal Junctional Disease Following Adult Spinal Deformity Surgery. Spine (Phila Pa 1976). 2017;42(20):1570–7.

    Article  PubMed  Google Scholar 

  20. Paik H, Kang DG, Lehman RA Jr, Gaume RE, Ambati DV, Dmitriev AE. The biomechanical consequences of rod reduction on pedicle screws: should it be avoided? Spine J. 2013;13(11):1617–26.

    Article  PubMed  Google Scholar 

  21. Loenen ACY, Noriega DC, Ruiz Wills C, Noailly J, Nunley PD, Kirchner R, et al. Misaligned spinal rods can induce high internal forces consistent with those observed to cause screw pullout and disc degeneration. Spine J. 2021;21(3):528–37.

    Article  PubMed  Google Scholar 

  22. Cidambi KR, Glaser DA, Bastrom TP, Nunn TN, Ono T, Newton PO. Postoperative changes in spinal rod contour in adolescent idiopathic scoliosis: an in vivo deformation study. Spine (Phila Pa 1976). 2012;37(18):1566–72.

    Article  PubMed  Google Scholar 

  23. Wanivenhaus F, Neuhaus C, Liebmann F, Roner S, Spirig JM, Farshad M. Augmented reality-assisted rod bending in spinal surgery. Spine J. 2019;19(10):1687–9.

    Article  PubMed  Google Scholar 

  24. Solla F, Clement JL, Cunin V, Bertoncelli CM, Fiere V, Rampal V. Patient-specific rods for thoracic kyphosis correction in adolescent idiopathic scoliosis surgery: Preliminary results. Orthop Traumatol Surg Res. 2020;106(1):159–65.

    Article  PubMed  Google Scholar 

  25. Ohba T, Ebata S, Oda K, Tanaka N, Haro H. Utility of a computer-assisted rod bending system to avoid pull-out and loosening of percutaneous pedicle screws. Clin Spine Surg. 2021;34(3):E166–71.

    Article  PubMed  Google Scholar 

  26. Demura S, Murakami H, Hayashi H, Kato S, Yoshioka K, Yokogawa N, et al. Influence of rod contouring on rod strength and stiffness in spine surgery. Orthopedics. 2015;38(6):e520–3.

    Article  PubMed  Google Scholar 

Download references


We would like to thank all the participants in the studies.


This work was supported by the Project of Pyramid Talent Project (No.0910) and Innovative Clinical Research Projects of the Hospital(No.2020YLCYJ-Z06). The funding agreements ensured the authors’ independence in the design of the study and collection, analysis, and interpretation of data and in writing the manuscript.

Author information

Authors and Affiliations



Conception: Xuhua Lu; Methodology: Lin Han and Hongdao Ma; Investigation and data curation: Qisheng Li and Jincan Yuan; Formal analysis: Yuchen Qin; Writing—original draft: Lin Han; Writing—review & editing: Hongdao Ma, Haisong Yang; Supervision: Yuchen Qin and Xuhua Lu. All authors read and approved the final manuscript.

Corresponding authors

Correspondence to Yuchen Qin or Xuhua Lu.

Ethics declarations

Ethics approval and consent to participate

This study was approved by the Shanghai Changzheng Hospital Ethics Committee (Approval No.2014SL031). All procedures performed in studies involving human participants were in accordance with the ethical standards of the institutional and/or national research committee (APHP/CNIL) and with the 1964 Helsinki declaration and its later amendments or comparable ethical standards. All participants provided written informed consent to participate in the study.

Consent for publication

Not applicable.

Competing interests

The authors declare that they have no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

The original version of this article was revised: the authors would like to transpose the order of affiliations 1 and 2.

Supplementary Information

Additional file 1:

 Supplement Digital Content 1. Summary receiver operating characteristic curvesfor RC for predicting postoperative outcomes. Supplement Digital Content 2. Summary receiver operatingcharacteristic curves for RC-PTA for predicting postoperative outcomes.

Rights and permissions

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit The Creative Commons Public Domain Dedication waiver ( applies to the data made available in this article, unless otherwise stated in a credit line to the data.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Han, L., Ma, H., Li, Q. et al. The association of rod curvature with postoperative outcomes in patients undergoing posterior lumbar interbody fusion for spinal stenosis: a retrospective case–control study. BMC Musculoskelet Disord 24, 304 (2023).

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: