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Sci Rep
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Scientific Reports
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Nature Publishing Group UK London

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10.1038/s41598-024-71334-1
Article
Finite-element analysis of different fixation types after Enneking II + III pelvic tumor resection
Sun Yu 1
Xue Haowen 1
Wang Xiaonan 1
Zhang Jiaxin 1
Xu Zezhou 2
Guo Yunting 2
Xin Renlong 2
Yu Zhenglei 2
Han Qing 1
Zhao Xin xzhao@jlu.edu.cn

1
Wang Jincheng wangjinc@jlu.edu.cn

1
Ren Luquan lqren@jlu.edu.cn

2
1 grid.452829.0 0000000417660726 Orthopaedic Hospital, The Second Hospital of Jilin University, Changchun, 130012 China
2 https://ror.org/00js3aw79 grid.64924.3d 0000 0004 1760 5735 Key Laboratory of Engineering Bionics, Ministry of Education, Jilin University, Changchun, 130012 China
6 9 2024
6 9 2024
2024
14 208789 4 2024
27 8 2024
© The Author(s) 2024
2024
https://creativecommons.org/licenses/by-nc-nd/4.0/ Open Access This article is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License, which permits any non-commercial use, sharing, 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 you modified the licensed material. You do not have permission under this licence to share adapted material derived from this article or parts of it. 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 http://creativecommons.org/licenses/by-nc-nd/4.0/.
The current primary treatment approach for malignant pelvic tumors involves hemipelvic prosthesis reconstruction following tumor resection. In cases of Enneking type II + III pelvic tumors, the prosthesis necessitates fixation to the remaining iliac bone. Prevailing methods for prosthesis fixation include the saddle prosthesis, ice cream prosthesis, modular hemipelvic prosthesis, and personalized prosthetics using three-dimensional printing. To prevent failure of hemipelvic arthroplasty protheses, a novel fixation method was designed and finite element analysis was conducted. In clinical cases, the third and fourth sacral screws broke, a phenomenon also observed in the results of finite element analysis. Based on the original surgical model, designs were created for auxiliary dorsal iliac, auxiliary iliac bottom, auxiliary sacral screw, and auxiliary pubic ramus fixation. A nonlinear quasi-static finite element analysis was then performed under the maximum load of the gait cycle, and the results indicated that assisted sacral dorsal fixation significantly reduces stress on the sacral screws and relative micromotion exceeding 28 μm. The fixation of the pubic ramus further increased the initial stability of the prosthesis and its interface osseointegration ability. Therefore, for hemipelvic prostheses, incorporating pubic ramus support and iliac back fixation is advisable, as it provides new options for the application of hemipelvic tumor prostheses.

Keywords

Malignant
Pelvic tumor
Prosthesis
Finite element analysis
Subject terms

Surgical oncology
Computational biophysics
Jilin Provincial Department of Science and TechnologyYDZJ202201ZYTS046 202201ZYTS129 20220402067GH Sun Yu Wang Xiaonan Zhao Xin The batch of grant from China Postdoctoral Science Foundation2023M741341 Xu Zezhou The Batch of Special Grants from China Postdoctoral Science Foundation2023TQ0129 Xu Zezhou http://dx.doi.org/10.13039/501100001809 National Natural Science Foundation of China 52205310 52375289 82272504 Guo Yunting Yu Zhenglei Han Qing The Natural Science Foundation of Shandong ProvinceZR2021QE263 Guo Yunting Innovative research and development team for bone implants based on additive manufacturing of Jilin University419070623054 Yu Zhenglei Changchun Science and Technology Bureau Outstanding Youth FundZKICKJJ2023015 Han Qing Jilin University Outstanding Youth Cultivation Project419070623036 Han Qing Wu Jieping Medical Fund320.6750.18522 Zhao Xin Jilin Provincial Development and Reform Commission2022C044-2 Zhao Xin issue-copyright-statement© Springer Nature Limited 2024
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pmcIntroduction

Pelvic tumors are ranked as the third most prevalent form of malignant bone tumors, constituting approximately 5–15% of all malignant bone tumors, and exhibit high malignancy, rapid disease course, and poor prognosis1. The current primary treatment approach for malignant pelvic tumors involves hemipelvic prosthesis reconstruction following tumor resection. In cases of Enneking type II + III pelvic tumors, the prosthesis necessitates fixation to the remaining iliac bone. Prevailing methods for prosthesis fixation include the saddle prosthesis, ice cream prosthesis, modular hemipelvic prosthesis, and personalized prosthetics using three-dimensional (3D) printing2–8.

Hemipelvic prostheses have demonstrated varied clinical outcomes. Both modular and individualized hemipelvic prostheses have been substantiated to offer enhanced initial stability and postoperative functionality. Both types of prostheses can provide mechanical fixation using iliac plates and screws. Mechanical failures of prostheses, such as periprosthetic fractures and screw breakage, can lead to the deterioration of the remaining iliac bone, increase the complexity of surgical revisions, and escalate the economic and psychological burdens on patients8. Therefore, establishing robust prosthesis fixation is pivotal in achieving success in hemipelvic replacements.

Presently, the hemipelvic prosthesis is primarily fixed to the iliac bone through iliac screws. These screws are subjected to the shear stress transmitted across the trunk and lower limbs. Excessive shear stress can lead to screw breakage, which is a critical factor contributing to prosthesis failure. Consequently, minimizing stress on the iliac screws and enhancing prosthesis stability are pivotal objectives in hemipelvic prosthesis design9. Conversely, individualized customized prostheses offer the advantage of perfect alignment with the patient anatomy based on surgical planning10,11. However, the diverse structures of individualized customized prostheses raise uncertainties regarding the optimal structural design necessary to ensure stable biomechanical properties for patients.

We, therefore, aimed to investigate the stability of hemipelvic prostheses using a combination of case report and finite element analysis. The original structure of the hemipelvic prosthesis serves as the foundation to explore stress and microstructure dynamics, and incorporates enhancements like an iliac back plate, sacral screws, and an iliac platform to evaluate the impact thereof. Additionally, we examined the influence of an anatomically designed pelvic ring, realized by incorporating a pubic ramus design, on the overall stability of the hemipelvic prosthesis. This approach is essential to ascertain the initial stability of the prosthesis.

Materials and methods

Case report

A retrospective analysis was conducted on a patient who underwent hemipelvic replacement at the Second Hospital of Jilin University, Changchun, China. The patient was a 73-year-old female who underwent left hemipelvic resection and artificial hemipelvic replacement due to left hip pain accompanied by restricted mobility. PET-CT results showed that left acetabular, pubic and ischial bones destruction and soft tissue mass, invading the lower part of the left femoral head neck, with increased metabolism, suggesting malignant tumor. Pathological results showed that thyroid follicular tissue was suspected to be metastatic thyroid follicular carcinoma. Immunohistochemical staining results showed CK (AE1/AE3) (+), ER (−), PR (−), Ki67 (positive rate 10%), PAX-8 (+), TTF-1 (+), TG (+), GATA3 (−). CT and MRI fusion images could be found in Supplementary material 1. And, this patient underwent thyroid lesion resection surgery four months ago. Six months after the operation, patient complained that there was no obvious cause leading to hip pain and a pelvic radiograph revealed loosening of the prosthesis and a broken screw (Fig. 1). During this period, the patient underwent thyroid tumor chemotherapy treatment. This study received approval from the Ethics Committee of the Second Hospital of Jilin University (SB [2021] No. 152). This participant was informed and signed informed consent forms.Fig. 1 Three-dimensional (3D) reconstruction model diagram. (a) Preoperative 3D reconstruction (Green: the region of tumor), (b) preoperative design, (c) postoperative 3D reconstruction with broken screw.

3D reconstruction of surgical model

Based on the preoperative design and postoperative thin-Sect. (0.625 mm) computed tomography (CT) scan imaging data, the patient’s pelvis and prosthetic structure were segmented using Mimics 19.0 software (Materialize, Belgium), and the model was subsequently imported into SolidWorks software (Dassault Systèmes) in STL format. Following this, the shape and contour of the hemipelvic prosthesis were refined, and the preliminary model was exported to Magics 19.0 software (Materialise Company, Belgium) for size adjustment, surface smoothing, and other modifications. Based on the observed operative conditions, four 6.5 mm diameter iliac locking screws (25 mm, 55 mm, 55 mm, and 50 mm) were surgically implanted. The integration of a 3D reconstruction model with postoperative imaging clearly demonstrates that the prosthetic reconstruction aligns well with the intended design (Fig. 1). The prosthesis was 3D printed and simulated for surgery, and bone-contact surface of the implant was designed with porous-coated (Supplementary material 2). Due to the controversy surrounding the fixation of the pubic, the connection of pubic and was not selected (Fig. 1).

Design and simulation of pelvic prosthesis

Originating from the original hemipelvic prosthesis (A), and utilizing the auxiliary fixation provided by the available space around the ilium, including the iliac posterior aspect, the bottom, and the sacral side, a novel prosthesis fixation method was designed as follows: (B) fixation was introduced through an iliac fixation plate positioned behind the ilium tried to increase the contact area behind the prosthesis and limit its introversion; (C) the contact area of the iliac platform at the bottom was expanded and tried to increase the contact area beneath the prosthesis and limit its internal rotation; and (D) sacral fixation strength was enhanced with additional sacral screws in order to restrict the movement of prosthesis. Fixation methods demonstrating optimal initial stability for the prosthesis were selected, and the mechanical characteristics of the pubic ramus support-assisted fixation were verified, which were designed on the basis of original hemipelvic prosthesis (A) and the addition of iliac back fixation (B), with a 60 mm pubic ramus locking screw and a 50 mm ischial ramus locking screw (Figs. 2, 5).Fig. 2 Pelvis finite element analysis model. (a) original hemipelvic model, (b) assisted posterior iliac fixation, (c) assisted bottom iliac fixation, (d) assisted sacral screw fixation. Triangle: Constraints, Arrow: Force.

We then imported the designed model into Hypermesh 2020 software (Altair) using the STL file format and performed two-dimensional (2D) mesh partitioning. Through grid quality sensitivity analysis, we determined a triangular mesh size of 1 mm. Subsequently, we converted the 2D mesh to solid, using C3D4 tetrahedral elements as the unit format.

The bone model utilized heterogeneous material assignment, based on varying bone CT grayscale values (in Hounsfield units, Hu), according to the following formula (Fig. 2)12:1 ρ(Kg/m3)=47+1.122Hu

2 E(MPa)=0.63ρ1.35

μ=0.3

The elastic modulus for the sacroiliac joint and pubic symphysis was set to 15 MPa, with a Poisson’s ratio of 0.45. The hemipelvic prosthesis, made of titanium alloy (Ti6Al4V), has an elastic modulus of 110 GPa and a Poisson’s ratio of 0.308.

The upper edge of the Sacral 1 vertebra was set as a constraint, with the degrees of freedom for each node set to 0. Both the sacroiliac joint and pubic symphysis were defined as tied contacts. Frictional contact between the prosthesis and bone was established, with a coefficient of friction of 0.88 (μ = 0.88) for the screw-bone interface and 0.30 (μ = 0.30) for the prosthesis-bone interface8. Load conditions, based on gait analysis data for the pelvis by Bergmann et al., were uniformly applied at the acetabulum. The applied load was calculated as 1,948 N, based on the patient’s weight and load ratio, and was then applied to the model13. Joint and muscle forces were fitted through internal sensors in the hip joint by the research team; therefore, the finite element analysis model in this study does not include separately modeled muscles and ligaments around the hip joint (Fig. 2). The OptiStruct solver (Altair) was used and the unit information was showed on Table 1.Table 1 Number of elements in finite element analysis components.

Component	Prosthesis	Ilium	Sacrum	Healthy side pelvis	
A	248,619	542,751	754,352	644,200	
B	257,144	542,751	754,352	644,200	
C	267,244	542,751	754,352	644,200	
D	267,947	542,751	763,903	644,200	
A*	398,555	542,751	763,903	726,910	
B*	408,610	542,751	763,903	726,910	

All methods were performed in accordance with the relevant guidelines and regulations.

Results

The results from the stress distribution analysis show that stress is primarily concentrated at the interface between the prosthesis and the sacroiliac region on the affected side, without significant stress transmission to the healthy pelvis side. After the addition of iliac back fixation (B), bottom fixation (C), and sacral screw reinforced fixation (D), there was a noticeable reduction in stress on the prosthesis side, along with increased stress concentration on the auxiliary fixation areas. Notably, the inclusion of sacral screw auxiliary fixation resulted in a more significant adjustment in stress distribution, whereas the impact of adding bottom fixation (C) was relatively minor (Fig. 3).Fig. 3 The stress distribution of the pelvis. (a) Original hemipelvic model, (b) assisted posterior iliac fixation, (c) assisted bottom iliac fixation, (d) assisted sacral screw fixation.

A stress analysis of the prosthesis revealed that stress was primarily concentrated at the tips of the third and fourth iliac screws, with a maximum stress value of 295.7 MPa. Despite the addition of iliac back fixation (B) and bottom fixation (C), stress distribution remained focused at the screw connections, with maximum stresses of 235.3 MPa and 265.1 MPa, respectively. After the introduction of sacral screw fixation (D), stress concentration shifted to the sacral screws, peaking at 572.8 MPa, whereas the stress at the connection of the fourth screw reduced to 184.5 MPa (Fig. 4).Fig. 4 The stress distribution of the prosthesis. (a) Original hemipelvic model, (b) assisted posterior iliac fixation, (c) assisted bottom iliac fixation, (d) assisted sacral screw fixation.

Based on the above results, the addition of iliac back fixation (B) was selected as the optimal initial stability for the prosthesis, then the pubic ramus support-assisted fixation was supplemented (B*), and compared with the original prosthesis with the pubic ramus support-assisted fixation (A*). Following the addition of pubic fixation, the stress analysis indicated that stress was primarily distributed across the prosthesis, both sacroiliac joints, and the pelvic bone on the healthy side, resulting in a ring-shaped stress distribution. Stress distribution on the prosthesis was concentrated at the pubic symphysis screw connections, exhibiting maximum stresses of 264.5 MPa. The stress at the connection of the fourth iliac screw decreased to 218.8 MPa. Upon adding fixation to the iliac back, the stress at the pubic symphysis screw connection reduced to 226.7 MPa, and at the connection of the fourth iliac screw decreased to 209.7 MPa (Fig. 5).Fig. 5 The stress distribution of assisted pubic fixation. (a*) Original hemipelvic model assisted pubic fixation, (b*) assisted posterior iliac and pubic fixation.

Five measurement zones were selected on each side of the pelvic ring structure, where average stresses were measured. Subsequently, the average stresses of the entire pelvic ring structure were calculated. Radar chart results show that, without pubic support, stress concentration occurs in the L2 region. Following the addition of pubic fixation, the stress distribution becomes more uniform. Average stress results for the pelvic ring demonstrated significant differences within groups lacking pubic ramus support. Upon adding pubic ramus support, the standard deviation within groups decreased, and the introduction of additional iliac back fixation significantly increased the overall average stress (p < 0.05) (Fig. 6).Fig. 6 Pelvic circular stress distribution test. (a) The mark point of stress distribution, (b) radar chart of stress distribution at landmark points, (c) statistical chart of stress at landmark points.

Micromotion analysis revealed that areas exceeding 28 μm were predominantly concentrated on the inner side of the iliac plate. Adding auxiliary fixation consistently reduced the area on the iliac plate exceeding 28 μm. Specifically, enhancing fixation at the back, bottom, and sacral screw areas can improve the integration capacity of the interface bone by increasing the contact area. With the introduction of pubic ramus support, a further reduction in the micromotion area of the iliac plate was observed (Fig. 7).Fig. 7 The distribution of relative micromotion. Red: Relative micromotion exceeding 28 μm.

Discussion

The pelvis and its surrounding soft tissues represent a common site for tumors1. Due to the subtlety of early symptoms, pelvic malignant tumors are often in advanced stages when discovered, characterized by large size and indistinct boundaries with surrounding tissues. Advancements in comprehensive treatment and surgical techniques have led to the predominance of limb-salvage treatments for pelvic tumors. In cases of pelvic tumors in zones II + III, the integrity of the pelvic ring is compromised, posing challenges in reconstructing pelvic structure and function. Currently, the options for pelvic tumor prostheses in zones II + III are limited, primarily including saddle-type, ice cream, and customized prostheses2,4,14. However, the use of saddle-type and ice cream prostheses has declined due to high rates of infection and loosening, and the requirement for substantial support in saddle-type prostheses. With advancements in 3D printing technology, clinically applied hemipelvic prostheses are increasingly being fabricated using 3D printing.

Currently, the design process for 3D printed hemipelvic prostheses involves preoperative design, prosthesis verification, surgical planning, and other preparations before clinical application8,15. Prosthesis refinement requires referencing physical and chemical performance tests, as well as clinical follow-up results, to gradually improve the design, thereby enhancing the initial stability of the hemipelvic prosthesis. This study was prompted by the discovery of broken iliac screws in a patient after hemipelvic replacement in zones II + III (Fig. 1). To analyze the causes of screw breakage and offer a theoretical basis to design future hemipelvic prostheses, this study examined the stress and micromotion post-initial implantation and sought to enhance the prosthesis design.

Stress serves as a crucial indicator to evaluate the initial stability and the risk of screw breakage following prosthesis implantation. Results from the postoperative reconstruction model reveal stress concentration at the tips of the third and fourth iliac screws, with a maximum stress of 295.7 MPa, which approaches the fatigue limit of Ti6Al4V (300–310 MPa)16. This finding indicates a potential risk of screw breakage, effectively validating actual clinical occurrences. The addition of auxiliary fixation results in a noticeable reduction in screw stress, with sacral screw fixation showing the most significant decrease (37.6%). However, the high stress concentration at the sacral screw (572.8 MPa) raises concerns and potential clinical apprehensions. In comparison, the addition of iliac back fixation also significantly reduces screw stress (20.4%), with the maximum stress on the prosthesis suggesting relative safety (235.3 MPa). Therefore, among the evaluated auxiliary fixation methods, iliac back fixation is recommended as a safer option (Figs. 3 and 4).

Many clinically used modular hemipelvic prostheses currently lack a pubic ramus design10,11. Although customized 3D-printed hemipelvic prostheses often include pubic ramus fixation, the necessity of adding a pubic ramus design remains debated17,18. The rigid connection of components after adding pubic ramus support might lead to excessive tension, and such a connection between the pubic ramus support and the bone/acetabulum may lack sufficient strength10. Nevertheless, the absence of pubic ramus support may lead to an incomplete pelvic ring, disrupting normal biomechanical transmission and potentially causing mechanical failure of the prosthesis19,20. Thus, investigating the biomechanical mechanisms of pubic ramus support-assisted fixation and addressing concerns like excessive tension in the pubic ramus support holds significant scientific importance to resolve current clinical debates. Stress results indicate that the addition of pubic ramus support restores the mechanical transmission circular structure of the pelvis. Stress distribution significantly increases on the healthy side of the pelvis, achieving a more uniform overall stress distribution. The maximum stress on the prosthesis shifts to the pubic symphysis screw connection (264.5 MPa), ensuring a stable reconstruction of the prosthesis. Furthermore, adding iliac back fixation to the pubic ramus support foundation results in a decrease of the maximum stress at the iliac screw to 209.7 MPa, and at the pubic symphysis screw to 226.7 MPa. This represents a 29.1% decrease in maximum stress at the iliac screw compared to intraoperative conditions. Additionally, the significant increase in average stress on the pelvic ring (p < 0.05) indicates a more uniform stress distribution within the pelvic ring structure, further enhancing the initial stability of the prosthesis (Figs. 5 and 6).

Micromotion serves as a crucial indicator in assessing the bone-implant interface integration capability. Micromotions of less than 28 μm at the contact interface promote bone integration, whereas micromotions between 30 and 150 μm result in the formation of both bone and fibrous tissue. Micromotions exceeding 150 μm predominantly result in fibrous tissue formation21. The long-term stability of the prosthesis depends on its initial stability, underscoring the importance of minimizing micromotion at the interface. Results show that the addition of auxiliary fixation consistently reduces the area of the iliac plate exceeding 28 µm. Furthermore, implementing micro-hole designs at the interface through auxiliary fixation further enhances bone integration capability. These fixation methods enhance prosthesis stability by increasing the area available for bone integration, thereby laying the foundation for the long-term biological fixation of pelvic prostheses. Among these methods, auxiliary sacral back fixation demonstrates optimal potential for interface bone integration, with pubic ramus support further enhancing the bone integration potential of the prosthesis (Fig. 7).

This study has certain limitations, including the absence of in vitro biomechanical experiments. Future studies may aim to construct a biomechanical model and supplement it with mechanical experiments. We utilized peak loads from gait cycles without simulating variations in the pelvic prosthesis throughout the gait cycle. The analysis was limited to several common fixation methods for hemipelvic prostheses currently used in clinical practice. In addition, adding longitudinal screws to the iliac bone, expanding the range of prosthetic iliac plates and changing the direction of the iliac screw also could be tried to reduce stress on the implant and improve longevity. Future research should include additional fixation methods to build a comprehensive evaluation system for hemipelvic prostheses.

In summary, to address the challenge of inadequate initial stability in pelvic tumor fixation in Enneking II + III, adding iliac back, bottom, and sacral screw fixation to the original prosthesis can significantly reduce the maximum stress on the iliac screws. Considering overall stress, iliac back fixation results in relatively lower stress and effectively reduces iliac screw stress. Furthermore, supplementary pubic ramus support can further decrease screw stress, reduce the micromotion area exceeding 28 μm, and restore the circular stress structure of the pelvic ring, thus enhancing the prosthesis initial stability. Therefore, it is advisable for hemipelvic prostheses to include pubic ramus support and iliac back fixation, offering new options for the application of hemipelvic tumor prostheses.

Supplementary Information

Supplementary Video 1.

Supplementary Figure 1.

Supplementary Information

The online version contains supplementary material available at 10.1038/s41598-024-71334-1.

Acknowledgements

National Natural Science Foundation of China (82272504, 82072456, 52375289, 52205310); Wu Jieping Medical Fund (320.6750.18522) Jilin Provincial Department of Science and Technology (20220402067GH, 202201ZYTS129, YDZJ202201ZYTS046); Jilin Provincial Development and Reform Commission (2022C044-2); Changchun Science and Technology Bureau Outstanding Youth Fund (ZKICKJJ2023015); Jilin University Outstanding Youth Cultivation Project (419070623036), Innovative research and development team for bone implants based on additive manufacturing of Jilin University (419070623054); The batch of grant from China Postdoctoral Science Foundation (2023M741341); The Batch of Special Grants from China Postdoctoral Science Foundation (2023TQ0129); The Natural Science Foundation of Shandong Province (ZR2021QE263).

Author contributions

JW and XZ were contributor to the conceptualization. LR was contributor to contributed to review and editing. YS and HX were contributor to software, and writing—original draft; XW, JZ and RX were contributor to software and writing—review. Funding acquisition contributed by XZ, JW,QH, ZX, ZY and YG. All authors have read and agreed to the published version of the manuscript.

Data availability

All data generated or analysed during this study are included in this published article.

Competing interests

The authors declare no competing interests.

Ethical approval

This study was approved by the Ethics Committee of the Second Hospital of Jilin University (No. 152 in 2021).

Publisher's note

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

These authors contributed equally: Yu Sun and Haowen Xue.
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