- 1Department of Orthopedics, The First Affiliated Hospital of Anhui Medical University, Hefei, Anhui, China
- 2Musculoskeletal Tumor Center, Peking University People’s Hospital, Beijing, China
Background: Prosthetic reconstruction after type I + II+ III internal hemipelvectomy remains challenging due to the lack of osseointegration and presence of giant shear force at the sacroiliac joint. The purpose of this study was to evaluate the biomechanical properties of the novel 3D-printed, custom-made prosthesis with pedicle screw–rod system and sacral tray using finite element analysis.
Methods: Four models that included one intact pelvis were established for validation. Forces of 500 N and 2,000 N were applied, respectively, to simulate static bipedal standing and the most loaded condition during a gait cycle. Biomechanical analysis was performed, and the results were compared; the preliminary outcomes of four patients were recorded.
Results: For the reconstructed hemipelvis, stress was mainly concentrated on the sacral screws, bone–prosthesis interface, and upper endplate of the L5 vertebra. The optimization of the design with the sacral tray structure could decrease the peak stress of the sacral screws by 18.6%, while the maximal stress of the prosthesis increased by 60.7%. The addition of the lumbosacral pedicle–rod system further alleviated stress of the sacral screws and prosthesis by 30.2% and 19.4%, respectively. The site of peak stress was contemporaneously transferred to the connecting rods within an elastic range. In the retrospective clinical study, four patients who had undergone prosthetic reconstruction were included. During a follow-up of 16.6 ± 7.5 months, the walking ability was found preserved in all patients who are still alive and no prosthesis-related complications had occurred except for one hip dislocation. The Musculoskeletal Tumor Society (MSTS) score was found to be 19.5 ± 2.9.
Conclusion: The novel reconstructive system yielded favorable biomechanical characteristics and demonstrated promising preliminary outcomes. The method can be used as a reference for reconstruction after type I + II + III hemipelvectomy.
1 Introduction
The pelvic girdle is a common location for up to 15% of primary malignant bone tumors and ranks third among bone metastasis sites (Singh et al., 2016). After resection of peri-acetabular lesions, the utilization of metallic prostheses has been advantageous. Better functional recovery could be achieved through flexible adjustment of the osteotomy plane of the iliac bone during operation (Sun et al., 2011). The residual ilium can also provide a reliable bony anchorage for prostheses, which is conducive for mechanical fixation. However, when lesions invade most of region I—according to the Enneking classification (Enneking and Dunham, 1978)—and the sacroiliac joint due to the resection of the iliac wing, prostheses can only be fitted and fixed to the sacrum. The sacroiliac joint is vulnerable to shear loading on account of the predominantly flat surface. Simple screw fixation can lead to screw breakage, and the incidence of a prosthesis loosening and moving cephalad is extremely disastrous (Zhao et al., 2018). At the same time, the loss of the iliac wing makes it difficult to precisely relocate the acetabulum for the complete removal of anatomical landmarks. The excessive shift of the rotation center increases the risk of dislocation (Wang et al., 2021).
With the development of computer-aided design (CAD) and computer-aided manufacturing (CAM) techniques, prostheses can be customized with special references to individualized bone defects. 3D printing–assisted tumor resection and reconstruction have unique advantages over traditional techniques in this area with complex spatial geometry. The 3D-printed porous contact surface overcomes the shortcomings of traditional manufacturing techniques such as low porosity and uncontrollable parameters and has been proven to be beneficial to bone ingrowth and osseointegration in achieving biological fixation and long-term stability (Wang et al., 2018). Under the guidance of 3D-printed, patient-specific instrumentation, the screw trajectories can be transposed during surgery in accordance with a preoperative design, making the procedure safer.
In matching the prosthesis design to the residual pelvis, the continuity of load transfer is restored. Studies on the effectiveness of fixations and biomechanics of the pelvis are rare. It is not only difficult but sometimes also impossible to appraise stress distribution through the joint structures under different loading and boundary conditions during experimentation or through simplified mathematical models (Zanetti et al., 2012). Finite element (FE) models can be constructed for specific patients by gathering geometric and material properties from patients’ own radiographic images. The FE analysis has been widely used in the biomechanical study of implants and provides an effective in silico approach to gather information on static and dynamic responses (Liu et al., 2016).
In the literature, we however found a wide spectrum of implant designs across patients who had received pelvic reconstructions (Wang et al., 2019b; Peng et al., 2020; Wang et al., 2020; Wu et al., 2021; Zhu et al., 2021). An optimal design for a prosthesis with good biomechanical properties is still unclear. This study aims to 1) construct FE models before and after prosthetic reconstruction that simulate human reality; 2) analyze the biomechanical properties of prostheses and the effects of the pedicle screw–rod system and sacral tray on load transmission; and 3) observe the efficiency and stabilization of prostheses for tumor-induced hemipelvic defects in four patients and provide references for routine clinical use.
2 Materials and methods
2.1 Prosthesis design and finite element model construction
We chose one patient with the highest weight and body mass index (female, 54 years old, 158 cm in height, 74 kg in weight) diagnosed with chondrosarcoma to be the subject of the FE analysis. Digital Imaging and Communications in Medicine (DICOM)–based CT scans for the pelvic region at .625 mm slice thickness were imported into Mimics 19.0 software (Materialise Inc., Leuven, Belgium) to reversely construct a 3D model. The processed images of contralateral hemipelvis were used to create a mirror model. Only a part of the proximal femur was preserved. The thickness of the cortical bone was assumed to be around 2 mm throughout (Anderson et al., 2005). As a comparative study, the cortical thickness of all the models was considered to be the same. The intervertebral and interpubic discs were constructed by filling up the spaces between the related bony surfaces, referring to the gray scales and anatomic position. Next, the model was processed for surfacing smoothing. The model was then imported into the Magics software (Materialise Inc., Leuven, Belgium) to reconstruct the hemipelvic prosthesis, screws, and rods. The artificial femoral prosthesis was simplified as a sphere head and cylinder neck for the biomechanical analysis of the lower extremity being omitted in this study. The design stemmed from the concept of a metallic metal prosthesis that could connect the spine and ipsilateral lower extremity to rebuild load transfer through a bilateral rod–screw system. The sacral tray was incorporated to be fully fitting with the ventral sacrum surface to mitigate the shear force imposed on the screws. The length and trajectory of the polyaxial screws were designed in advance to avoid penetration into the sacral canal or anterior neurovascular plexus. The screws passed through the L5, S1, and S2 vertebrae to bear the vertical stress from different directions and exert compressive force to facilitate osteogenesis. One screw was designed to be inserted through the sacral tray up to the sacral wing to provide angular stability (Figure 1). Four groups of finite element models were built: the intact pelvis (Control), the initially designed prosthesis with only three sacral screws for fixation (Model 1), modified prosthesis with the addition of the sacral tray (Model 2), and reconstructed hemipelvis with the pedicle screw–rod system and sacral tray (Model 3), i.e., the definitive design adopted in patients.
FIGURE 1. 3D model of the reconstructive system. (A) The anteroposterior view of the model. Green: the main body of the prosthesis. Pink: the artificial femoral head. Green arrow: the sacral tray structure. (B) The posterior aspect of the model. The screws being fixed on the prosthesis are defined as sacral screws (purple). Lumbosacral rods (blue) are fixed with five pedicle screws (short blue arrow).
2.2 Material parameter settings and boundary loading force conditions
3D models in stereolithography (STL) format were imported into Ansys Mechanical 2022 R1 software (Ansys, Canonsburg, PA, United States) for further analysis. The mesh quality was checked and optimized, and the linear 8-node hexahedral mesh (SOLID185) was generated according to the surface mesh (Table 1). It was assumed that the bone, annulus fibers, nucleus pulposus, and metal were all continuous, isotropic, and uniform linear elastic materials. The material characteristics of various structural materials are shown in Table 2. A vertical downward load of 500 N was imposed on the surface of the L4 vertebra to simulate the gravity of the body in static poses. The four models were subjected to bipedal standing (Control, Model 1–3_B), and the femoral neck of the healthy and reconstructed sides was constrained symmetrically. An axial load of 2,000 N was imposed on the center of the artificial acetabulum in Model 3 (Model 3_E) to mimic the most loaded circumstance in one gait cycle (Bergmann et al., 2001; Wang et al., 2022; Zhou et al., 2022). In terms of boundary conditions, the area of the upper surface of the L4 vertebral body was considered to be fully bonded (Figure 2). The contact was set as bonded. The von Mises stress was selected as the main parameter for biomechanical evaluation.
FIGURE 2. Reconstructive models for FE analysis: (A) Model 1_B, (B) Model 2_B, (C) Model 3_B, and (D) Model 3_E.
2.3 Clinical study
The retrospective study identified patients subjected to type I + IIⅡ + III hemipelvic resection and 3D-printed, custom-made prosthetic implantation from January 2019 to May 2022, and four patients with modified prosthesis design (Model 3) were enrolled. Detailed prosthesis fabrication, surgical procedure, and postoperative management were the same to those described in previously published studies (Liang et al., 2017; Xu et al., 2022). Patient demographics, complications, and outcomes were collected (Table 3). Functional evaluation of the affected limb was determined by the Musculoskeletal Tumor Society (MSTS) scores at the latest follow-up (Enneking et al., 1993).
3 Results
3.1 Validation of the developed finite element model
Stress concentrated at the L4, L5, and S1 vertebrae and in the region around the sacroiliac joint is transferred through the arcuate line and the superior area of the greater sciatic notch to the hip joint (Figure 3), exhibiting a satisfactory bionic degree; the magnitude of stress tapers off downside the sacral midline. The ilium and ischiopubic region are in a state of relatively low stress. A maximal stress of 101.6 MPa was observed when standing in the bipedal posture. With regard to stress of the pelvic ring, a peak stress of 44.1 MPa was observed on the upper endplate of the S1 vertebra, which is consistent with intuition and previous research in distribution and scales (Iqbal et al., 2017; Liu et al., 2019; Zhou et al., 2022).
FIGURE 3. The validation model of the normal pelvis. (A) The bilateral proximal femurs were restrained, and the load was applied to the L4 vertebra. (B) The distribution of the von Mises force. (C) The transmission of loading stress from the trunk (blue arrows). (D) The distribution of the force in the pelvic ring.
3.2 Stress and displacement distribution
The overall distribution of the von Mises stress and deformation under vertical loads is illustrated in Figures 4–6. When compared to the native pelvis, force conduction shows a similar but less smooth tendency. Stress was concentrated at the bone–metal interface and diminished along the body of the prosthesis. In upright weight-bearing stances, there was an obvious stress concentration on the main body of the L5 screw. The addition of the sacral tray reduced maximum stress by 18.6% (from 279.45 to 227.46 MPa), while maximal deformation of the prosthesis increased from .05 to .15 mm. Peak stress of the whole model arose at the upper endplate of the L5 vertebra where the L5 screw had penetrated (481.04 MPa for Model 1_B and 480.61 MPa for Model 2_B) and maximal stress of the prosthesis was increased by 60.7% (from 99.17 to 159.34 MPa).
FIGURE 4. The von Mises force of the models. (A) Model 1_B. (B) Model 2_B. (C) The peak force of Model 2_B. (D) Model 3_B. (E) The peak force of Model 3_B at the locking site of the pedicle screw and the rod. (F) Model 3_E. (G) The peak force of Model 3_E at the pedicle screw–rod system of the healthy side.
FIGURE 5. The von Mises force of the sacral screws. The three horizontal screws were L5, S1, and S2 screws from top to bottom. (A) Model 1_B. (B) Model 2_B. (C) Model 3_B. (D) Model 3_E.
FIGURE 6. The von Mises force of the prosthesis and the force concentrated near the screw holes. (A) Model 1_B. (B) Model 2_B. (C) Model 3_B. (D) Model 3_E.
The introduction of the screw–rod system could further reduce stress on the sacral screws and prosthesis by 30.2% (from 227.46 to 158.70 MPa) and 19.4% (from 159.34 to 128.37 MPa), respectively. Concurrently, the aberrant stress concentration was alleviated (from 480.61 to 283.93 MPa) and occurred at the contacting site of the pedicle screw and rod. When the posture was switched to the most loaded condition during a gait cycle with one foot standing, there were extensive regions of high stress. Peak stress of the sacral screws appeared at the tail of the screws and increased to 641.28 MPa. The pedicle screw–rod system of the healthy side became the site of stress concentration (871.21 MPa).
3.3 Clinical results
All patients were alive at the latest follow-up of 16.6 ± 7.5 months. Two patients had wound healing disturbance at the crossing site of the T-shaped incision attributable to excessive ligation of the terminal branch of the superior gluteal artery encompassing the tumor. One of the patients (case 1) received three cycles of irrigation and debridement, followed by a second-stage flap transfer. The patient experienced a recurrence at 16 months after surgery. This was followed by palliative tumor resection and implantation of radioactive 125I seeds. Multiple surgeries and prolonged bed rest impeded rehabilitation and resulted in inferior limb function. At 8 months after surgery, one patient (case 2) had a local recurrence which was treated with expanded resection and was diagnosed with pulmonary metastasis at 3 months before the latest follow-up. No signs of component breakage or aseptic loosening was observed (Figure 7), and the ability to ambulate was restored with a MSTS-93 score of 19.5 ± 2.9.
FIGURE 7. The patient (case 3) with the highest BMI was selected for FE analysis. (A) Preoperative magnetic resonance imaging (MRI) showed the involvement of the sacroiliac joint. (B) The surgery simulation that fitting the sacral tray onto the ventral sacrum. (C) The postoperative X-ray at the latest follow-up.
4 Discussion
Static load analysis allows the localization of stress concentration points on artificial implants under load conditions, which can be useful in evaluating implant safety and improving design, since fatigue fracture tends to occur here. In cases of prostheses of the lower extremity, the higher peak loads reached in cyclic dynamic conditions can better reflect the real situation. However, static load analysis is alone acceptable for patients who have undergone type I + II + III resection as they can only obtain an altered gait resembling claudication and may require braces or crutches to assist in long distance walking. This comparative study focused on the overall stress distribution of the reconstructive system, and screw stress was compared horizontally. Therefore, pre-strain of the screws was not considered and surface contact was defined directly in order to increase efficiency. This will be incorporated into future studies regarding the optimization of screw structures.
During hemipelvic reconstruction surgery, pure sacral screws and the utilization of the lower lumbar spine as a strut are two methods that have been widely used to prevent proximal displacement of prostheses (Wang et al., 2015; Wang et al., 2020). The nearly vertical auricular surface brings high shear force and breakage of screws is disastrous. However, it is also worth noting that the introduction of the posterior lumbosacral procedure in select patients increases operation time, surgical trauma, and blood loss. Theoretically, the firm internal fixation weakens stress stimulation at the bone contact surface, which is not conducive to osteogenesis (Liu et al., 2019).
In the absence of the lumbosacral pedicle screw system, apparent stress of 480.61 and 481.04 MPa was observed at the cortical bone of the L5 vertebra where the L5 sacral screw had penetrated (Figure 4C) as a result of the differences in texture of the bone and of titanium. Stress had been generated near the interface of the titanium alloy during transmission of force and deformation downward the spine, since the titanium alloy has a greater elastic modulus and little capacity for concession. However, in Model 3_B and Model 3_E, stress concentration could be improved dramatically (Figures 4D–G). Accordingly, after constructing the pedicle–rod system, force could be conducted through the bilateral rods. The stress distribution was therefore more even and reasonable than it would have been without spinal implants.
Unilateral solid spinal fixation increases displacement of the unaffected hemipelvis (Liu et al., 2019). Therefore, immobilizing the lumbosacral region of the healthy side could contribute to a more even displacement level, avoiding increased compensatory range of motion and secondary joint degeneration to a certain extent. In addition, bilateral fixation acts against torsional stress and provides reliable stability (Otsuki et al., 2021). Consequently, under vertical load, the pedicle screws and rods restrict the lower lumbar spine from physiological movement, causing it to endure greater stress, thereby becoming sites with peak stress in the entire reconstruction system (Figures 4D–G). As a result of the elastic modulus gap between the vertebrae and internal fixation device, stress tends to be concentrated on the cranial part of the screws and rods, thereby heralding a high risk of failure. Moreover, patients with spinopelvic fusion have a constrained posterior pelvic tilt and countervailing hip flexion from standing to sitting positions, increasing the risk of dislocation, especially in those who have undergone extensive soft tissue resection (Esposito et al., 2018). However, it should be noted that by the addition of spinal instruments, sacral screws, and lumbar screw–rods, a complementary dual fixation system is formed that allows sufficient breakage–reoperation interval for revision surgery and simplifies the procedure with a simple posterior approach. It is thought that lumbar integration increases spinal column force conduction. Although intervertebral fusion could decrease the maximum von Mises force by up to 33% (Wang et al., 2015), since extra procedures might increase blood loss and operation time significantly, only screw–rod internal fixation could provide sufficient stability both in static and dynamic conditions.
In addition to using the lumbar vertebrae as the anchor point for mechanical fixation and modifying the structural design of the prosthesis, the trajectory of the screws is also critical for maintaining stability. The articular surface area limits the sacroiliac joint being inserted with up to three or four screws. Novel bone mineral density channels have been identified for screw insertion to improve the distribution of stress, promote bone growth, and enhance the biomechanical properties of the prosthesis (Zhou et al., 2022). In our study, the orientation of the screws was more empirical. Three sacral screws were designed to bear partial longitudinal loading and impose axial compression to promote osteogenesis. The fourth screw inserted from the sacral tray was expected to maintain the stability of the prosthesis in the sagittal plane and thus be minimally stressed in the upright position. The screw–rod system reduced the average and maximal stress of the screws. For type I + II + III reconstruction, mechanical fixation failure was mostly attributed to stress concentration at the sacroiliac screws and subsequent breakage (Zhang et al., 2018). Spinal fixation was corroborated in this study to exert a protective effect on the sacral screws (from 227.46 to 158.70 MPa, Figures 5B, C) and the prosthesis (from 159.34 to 128.37 MPa, Figures 6B, C). Similarly, the novel design of the sacral tray could reduce stress of the sacral screws effectively (from 279.45 to 227.46 MPa, Figures 5A, B) which exerted a superior degree of protection when compared to the sacral hook reported previously (Wang et al., 2019a). Due to the 3D-printed, custom-made nature, the tray perfectly fitted the ventral sacrum and offered larger contact areas, which prevented concentration of stress and allowed for an additional screw to be inserted. The sacral tray structure stabilizes sacrum deformity and reduces stress on the screws, but maximum stress of the prosthesis increases (Figures 6A, B). However, this increase is acceptable, so it is a reasonable structural improvement that can bring benefits.
The reconstruction of region III was treated with benign neglect given the reconstructed weight-bearing axis. As the pelvis is a circular structure closed by amphiarthroses, there is a biomechanical interdependence between the sacroiliac joints and pubic symphysis (Ricci et al., 2020). The increased laxity of the anterior ring causes the posterior ring to experience greater stress. In extreme cases, the total resection of the pubic symphysis and strong arcuate ligament resulted in opposing horizontal displacement of the bilateral hemipelvis during the gait cycle, even under static vertical loads, such that the unaffected hemipelvis might develop instability and secondary osteoarthritis (Li et al., 2020), while the bone–prosthesis interface on the reconstructed side also suffered from additional pull-out force. Thus, a higher stability of prosthesis strengthening by spinal instruments in the posterior ring is required.
Currently, the origin of the adductor muscle is sutured to the abdominal wall muscle. The transposition leads to weak adductor strength and the limb tends to rotate externally, making it prone to anterior dislocation. The advantage of region III reconstruction is that it provides a rigid attachment for soft tissue reconstruction, which not only provides a direct barrier against pelvic viscera but also facilitates the attachment of the mesh for abdominal wall reconstruction to prevent the formation of hernias (Zhang et al., 2021). At the same time, the adductor muscles and hamstring muscles could be reattached anatomically, ensuring better functional recovery and pain improvement. However, the natural pubic symphysis permits a minute shift of 2 mm and 1° of rotation, which prevents stress fracture under peak loading (Hammer et al., 2019; Tseng et al., 2022). After rigid prosthetic reconstruction of region III, the pubic symphysis bore greater vertical deformation than the other parts (Dong et al., 2014). Sealing the pelvic ring with metallic connections such as pubic rami plates or rods restricted its physiological mobility, bringing extra force concentration and subsequent implant failure. For patients with traumatic pubic symphysis diastasis, the high rate of mechanical failure might represent a benign condition that normal motion is restored to the articulations of the pelvis (Eastman et al., 2016). Whereas the breakage of implants after type III hemipelvectomy is an allusion to the failure of anterior ring reconstruction and possibility of major revision surgery. In a retrospective, small cohort study, reconstruction with fibular autograft alone did not produce graft fractures (Pieroh et al., 2016). The grafts could transmit stress through self-deformation, while there was a disparity in the elastic modulus between the metal and bone, which made stress concentrated. Therefore, remodeling the fibrous connection of the pubic symphysis such that it maintains a certain micro-movement is the key to achieve biological reconstruction. A flexible reconnection of the pubic symphysis combined with a rigid structure to provide muscle attachment points seems to be an ideal solution. Based on previous work demonstrating that 3D-printed porous structures could support soft tissue ingrowth (Guder et al., 2021; Xu et al., 2022), we infer that by relying on ordered micromotion during ambulation and tension–stress effect (Pilliar et al., 1986), the newborn strong, well-organized fibrous tissue could mimic native arcuate ligaments after elastic reconstruction (Murphy et al., 2021), albeit lacking histological verification.
In cases where the remaining ipsilateral pubis–ischial ramus is sufficient to attach prostheses, it remains unanimous to reconstruct region III in different centers. The integrated mega-prosthesis containing the pubis–ischia ramus has a complex spatial structure, and the arc-shaped arcuate line in particular requires excessive soft tissue exposure during placement. Obstruction of the iliopsoas muscle and neurovascular bundle aggravates the problem. In the following cases, we have tried to use the modular region III prosthetic connector to simplify the installation process. Moreover, the dismountable module of this site could minimize trauma of potential revision surgery.
We acknowledge the following shortcomings in this study. First, the FE model was simplified for the reduction of calculation. The analysis of the real biomechanical properties would require the inclusion of bones, cartilages, ligaments, and muscles. Stress in the region of contact changes in proportion to the cartilage thickness (Yang et al., 2020). It is also challenging to assess the extent of surrounding soft tissue after resection. Second, peak stress has been much lower than tensile strength and yield strength of the titanium alloy in this study. Gait analysis with a motion capture system should be incorporated into our future research. The biomechanical properties of the sitting position and the dynamic forces produced by the process of standing from a seated position would also be part of the work. Third, the porous interface has not been modeled. However, with the graded increase of the elastic modulus, force is expected to be transferred more smoothly.
5 Conclusion
The integrated lumbosacral mass via the bilateral rod–screw system and the novel sacral tray structure cooperated efficiently to alleviate the shear force. The instability in the absence of region III reconstruction could be compensated by the reinforcement of the posterior ring. The stability of the reconstructive system was expected to be longer with osseointegration achieved at the bone–prosthesis interface. The preliminary application in a small cohort manifested satisfactory function recovery and controllable complications. Further objective investigation on the durability and rate of long-term complications is required before introducing the system into routine clinical practice.
Data availability statement
The original contributions presented in the study are included in the article/supplementary material; further inquiries can be directed to the corresponding authors.
Ethics statement
The studies involving human participants were reviewed and approved by the Ethics Committee of the First Affiliated Hospital of Anhui Medical University. The patients/participants provided their written informed consent to participate in this study.
Author contributions
Conceptualization: ZG, SX, and YH; investigation: ZG, YP, QS, WG, SX, and YH; methodology: ZG and SX; formal analysis: JL, PH, PY, and YL; writing–original draft: ZG; writing–review and editing: ZG, SX, and YH.
Funding
This study was supported by the major projects of the Natural Science Foundation of Universities in Anhui Province (KJ2020ZD17) and the Program for Upgrading Basic and Clinical Collaborative Research of Anhui Medical University (2020xkjT033).
Conflict of interest
The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.
Publisher’s note
All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, editors and reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.
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Keywords: 3D-printed prosthesis, hemipelvic reconstruction, finite element analysis, sacroiliac joint, clinical outcomes
Citation: Guo Z, Peng Y, Shen Q, Li J, He P, Yuan P, Liu Y, Que Y, Guo W, Hu Y and Xu S (2023) Reconstruction with 3D-printed prostheses after type I + II + III internal hemipelvectomy: Finite element analysis and preliminary outcomes. Front. Bioeng. Biotechnol. 10:1036882. doi: 10.3389/fbioe.2022.1036882
Received: 05 September 2022; Accepted: 20 December 2022;
Published: 09 January 2023.
Edited by:
Reza Hedayati, Delft University of Technology, NetherlandsReviewed by:
Elisabetta M. Zanetti, University of Perugia, ItalyZikai Hua, Orthotek Laboratory, China
Copyright © 2023 Guo, Peng, Shen, Li, He, Yuan, Liu, Que, Guo, Hu and Xu. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
*Correspondence: Yong Hu, aHV5b25nMjAyMjA2QDE2My5jb20=; Shenglin Xu, eHVzaGVuZ2xpbkBhaG11LmVkdS5jbg==
†These authors have contributed equally to this work