• 沒有找到結果。

Biomechanical comparison of three stand-alone lumbar cages - a three-dimensional finite element analysis

N/A
N/A
Protected

Academic year: 2021

Share "Biomechanical comparison of three stand-alone lumbar cages - a three-dimensional finite element analysis"

Copied!
13
0
0

加載中.... (立即查看全文)

全文

(1)

R E S E A R C H A R T I C L E

Open Access

Biomechanical comparison of three stand-alone

lumbar cages

— a three-dimensional finite

element analysis

Shih-Hao Chen

1

, Ming-Chieh Chiang

2

, Jin-Fu Lin

3

, Shang-Chih Lin

4

and Ching-Hua Hung

2*

Abstract

Background: For anterior lumbar interbody fusion (ALIF), stand-alone cages can be supplemented with vertebral plate, locking screws, or threaded cylinder to avoid the use of posterior fixation. Intuitively, the plate, screw, and cylinder aim to be embedded into the vertebral bodies to effectively immobilize the cage itself. The kinematic and mechanical effects of these integrated components on the lumbar construct have not been extensively studied. A nonlinearly lumbar finite-element model was developed and validated to investigate the biomechanical differences between three stand-alone (Latero, SynFix, and Stabilis) and SynCage-Open plus transpedicular fixation. All four cages were instrumented at the L3-4 level.

Methods: The lumbar models were subjected to the follower load along the lumbar column and the moment at the lumbar top to produce flexion (FL), extension (EX), left/right lateral bending (LLB, RLB), and left/right axial rotation (LAR, RAR). A 10 Nm moment was applied to obtain the six physiological motions in all models. The comparison indices included disc range of motion (ROM), facet contact force, and stresses of the annulus and implants.

Results: At the surgical level, the SynCage-open model supplemented with transpedicular fixation decreased ROM (>76%) greatly; while the SynFix model decreased ROM 56-72%, the Latero model decreased ROM 36-91%, in all motions as compared with the INT model. However, the Stabilis model decreased ROM slightly in extension (11%), lateral bending (21%), and axial rotation (34%). At the adjacent levels, there were no obvious differences in ROM and annulus stress among all instrumented models.

Conclusions: ALIF instrumentation with the Latero or SynFix cage provides an acceptable stability for clinical use without the requirement of additional posterior fixation. However, the Stabilis cage is not favored in extension and lateral bending because of insufficient stabilization.

Keywords: ALIF, Anterior lumbar interbody fusion, Stand-alone cage, Finite element analysis Background

The lumbar interbody cage is an improvement in spinal fusion which facilitates stabilization of the motion seg-ments and relieves discogenic back pain [1,2]. The com-mon design is either cylindrical or trapezoid in shape and often uses serrated anchorages on the upper and lower surfaces to prevent loosening or subsidence of the cage [3-6]. Stand-alone cages have been used in ALIF

treatment and their ability to stabilize the intervertebral motion has been reported to be superior in flexion and bending to extension and rotation [7,8]. In clinical use, the construct stability can be further enhanced by the supplementation of posterior fixation such as pedicle or facet screws [9,10]. However, the significant morbidities of the combined anterior and posterior approaches have been mentioned [11]. These drawbacks may be over-come through the use of newly designed ALIF cages that can be inserted via a single anterior or lateral approach with minimal operative morbidity and without causing damage to posterior bony elements and neural, vascular,

* Correspondence:chhung@mail.nctu.edu.tw

2

Department of Mechanical Engineering, National Chiao Tung University, 1001 University Road, Hsinchu 30010, Taiwan

Full list of author information is available at the end of the article

© 2013 Chen et al.; licensee BioMed Central Ltd. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

(2)

and muscular tissues [12]. In the past, three stand-alone ALIF cages have been developed, consisting of a trapezoid frame that incorporates the anteriorly stabilizing compo-nents (Figure 1). The Latero system (Latero; A-Spine Asia, Taipei, Taiwan) integrates a lateral vertebral plate into the trapezoid frame which is bent to be parallel to the coronal plane. The SynFix system (SynFix; Synthes Spine Inc., PA, USA) uses four screws to lock the adjacent vertebrae. The Stabilis system (Stabilis; Stryker, Michigan, USA) ac-commodates a threaded cylinder to anchor the superior and inferior endplates. The stabilizing mechanisms of the Latero plate, SynFix screws, and Stabilis cylinder use the vertebrae as fulcrums to immobilize the bone-cage con-struct [12,13].

In the literature, comparisons between the different stand-alone ALIF cages have been extensively conducted by the experimental, numerical, and clinical methods [1,2,7]. Using human cadavers as specimens, the three-dimensional stiffness tests in Schleicher’s study [1] demonstrated the effective stabilization ability of the stand-alone SynFix cage in all motion directions. In a previous study by the current authors [14] the numerical results showed no differences of ROM in extension and lateral bending between the Stabilis and SynCage-Open (Synthes Spine, Inc., PA, USA). Except for the differences among cage frames, the stabilizing mechanism might con-tribute to the postoperative outcome of the stand-alone ALIF [12]. From the biomechanical viewpoint, however, the insertion depth and holding power were quite differ-ent between the plate, screw, and cylinder, thus, poten-tially affecting the stabilizing ability of the stabilizing mechanisms [15].

After surgery, both initial stability and loading trans-mission of the ALIF level play essential roles in the fusion rate of the instrumented region and the junc-tional problem of the adjacent region [16]. Especially for

osteoporotic bones, bone-cage loosening might result in cage subsidence, interfacial migration, and subsequent nonunion with loss of disc height [9,15]. Jost et al. [15] experimentally measured the interfacial strengths of three different bone-cage constructs and declared no sig-nificant differences between the threaded Ray cage, the rectangular Brantigan cage, and the porous Contact Fu-sion cage. Cho et al. [2] demonstrated that the stand-alone ALIF cage could assure good clinical results in the surgical treatment of symptomatic lumbar intervertebral foraminal stenosis in a mid-term follow up. To the best of the authors’ knowledge, little study has been dedi-cated to the detailed investigation of Stabilis perform-ance to date. Moreover, there has been no extensive study devoted to investigate the kinematic and mechan-ical differences between the plate-, screw-, and thread-type ALIF cages. This constituted the motive of the current study.

Both stress distribution and interfacial micromotion of the bone-cage construct are not easily detectable by ex-perimental methods [17-21]. This study used the finite-element method to evaluate the biomechanical effects of the stand-alone ALIF cages on the kinematic and mech-anical behaviors of the adjacent tissues and cages. Three stand-alone ALIF cages (Latero, SynFix, and Stabilis) and one traditional ALIF cage (SynCage-Open) with transpedicular fixation were instrumented into the lumbar models and compared. The detailed investiga-tion focused on the stress distribuinvestiga-tion and stabilizainvestiga-tion ability of the Latero plate, SynFix screws, and Stabilis threads. An intact model was used as the comparison baseline and the vertebral strengths were systematic-ally varied. The outcome of this study provides insight into the biomechanical properties of the bone-cage stabilizing mechanism within normal and osteopo-rotic bones.

(3)

Methods

One intact and four instrumented models of the lumbar spine were constructed in this study. The first was the intact model (INT model) to serve as the comparison baseline. The other four models were instrumented with ALIF cages (Latero, SynFix, Stabilis, and SynCage-Open) and/or transpedicular fixation at the L3-4 level (Figures 1c-d).

Intact models

A three-dimensional nonlinear model of the lumbar spine was constructed from L1 to L5 levels (Figure 2). The lumbar geometry was reconstructed from 1-mm computed tomography scans of a middle-aged male. The CT-scanning images of only one vertebra were used to build the entire lumbar column. The other vertebrae were duplicated and spanned by the intervertebral discs that were manually developed by the CAD software. This makes the vertebral bodies, posterior elements, and associated processes quite similar in shape and size. The pre-procedures of the lumbar FE model were established using ANSYS, Ed.9.0 software (ANSYS Inc., Canonsburg, PA, USA). The INT model was an osseo-ligamentous lumbar spine which includes the vertebrae, intervertebral discs, endplates, posterior elements, and all seven liga-ments. The eight-node solid elements were used for modeling the cortical bone, cancellous bone, posterior element, and endplate. The material properties of all tis-sues were assumed to be homogeneous and transversely isotropic [22]. The intervertebral disc consisted of annu-lus ground substance, nucleus pulpous, and collagen

fibers embedded in the ground substance. The nonlinear annulus ground substance was simulated by using the hyper-elastic Mooney-Rivlin formulation [23]. In the radial direction, twelve double cross-linked fiber layers were defined to decrease elastic strength propor-tionally from the outermost layer to the innermost. The collagen fibers in different annulus layers were strength-ened by the weight factor using the approach from a previous study by the current authors [20]. The weight factors of the elastic modulus were 1.0 at outermost layers, 1–3, 0.9 at layers 4–6, 0.75 at layers 7–9, and 0.65 at the innermost layers, 10–12. The nucleus pulpous was modeled as an incompressible fluid with a bulk modulus of 1666.7 MPa by eight-node fluid ele-ments [22].

No morphological change in vertebrae was simulated in this study. Only decrease in vertebral strength was as-sumed to model the biomechanical property of the osteo-porotic bone. There were two vertebral strengths simulated in this study: normal and osteoporotic models. Compared to the normal bone,“osteoporosis” was defined as a decrease of 66% in the elastic modulus for cancellous bone and a decrease of 33% for the cortical bone [24]. All seven ligaments and collagen fibers were simulated by two-node bilinear link elements with uniaxial tension resistance only, which were arranged in an anatomically correct direction [25]. The cross-sectional areas of each ligament and material properties of the spine were obtained from previous studies (Table 1) [20,22,23,25]. The facet joint was modeled with sliding and non-penetrating behavior using an eight-node surface-to

Figure 2 The lumbar finite-element model used in this study. (A) Intact model from L1 to L5 levels. (B) Instrumented model at the L3-4 level. (C) Four ALIF cages instrumented at the L3-4 level.

(4)

-surface contact element which can slide between three-dimensional target surfaces. The initial gap between a paired facet was kept within 0.5 mm and the coefficient of friction was set at 0.1 [20,22].

ALIF models

The Latero cage can be interlocked with a bent lateral plate that is inserted parallel to the coronal plane and into the vertebral bodies, thus preventing cage loosening.

Table 1 Material properties used in the FE model

Material Element Type Young’s Modulus (MPa) Area

(mm2) Reference

Poisson’s Ratio

Bone Ex = 11300 vxy = 0.484 [22]

Cortical 8-node SOLID185 Ey = 11300 vxz = 0.203

Ez = 22000 vyz = 0.203 Gx = 3800

Gy = 5400 Gz = 5400

Cancellous 8-node SOLID185 Ex = 140 vxy = 0.45 [22]

Ey = 140 vxz = 0.315

Ez = 200 vyz = 0.315

Gx = 48.3 Gy = 48.3 Gz = 48.3

Posterior bone 8-node SOLID185 3500 0.25 - [22]

Disc [22]

Nucleus pulposus 8-node FLUID80 1666.7 - - [22]

Ground Substance 8-node SOLID185 C10= 0.42 -

-C01= 0.105

Annulus fibers 2-node LINK10 [23]

Outermost 550 - 0.76

Second 495 - 0.5923

Third 412.5 - 0.4712

Innermost 357.5 - 0.3572

Cartilaginous Endplates 8-node SOLID185 24 0.4 - [22]

Ligaments 2-node LINK10 [25]

ALL 7.8 - 24 PLL 10 - 14.4 TL 10 - 3.6 LF 15 - 40 ISL 10 - 26 SSL 8 - 23 CL 7.5 - 30

Latero (PEEK) 8-node SOLID185 6500 0.2

Latero-plate (Titanium alloy) 8-node SOLID185 110000 0.3

SynFix-LR (PEEK) 8-node SOLID185 6500 0.2

Locking screw (Titanium alloy) 8-node SOLID185 110000 0.3

Stabilis (Titanium alloy) 8-node SOLID185 110000 0.3

SynCage-Open (Titanium alloy) 8-node SOLID185 110000 0.3

-Pedicle screw (Titanium alloy) 8-node SOLID185 110000 0.3

ALL anterior longitudinal ligament; PLL posterior longitudinal ligament; TL transverse ligament; LF ligamentum flavum; ISL interspinous ligament; SSL supraspinous ligament; CL capsular ligament.

(5)

The SynFix cage consists of a trapezoid frame incorpo-rated with an anterior plate and screws to stabilize the cage body. The Stabilis cage is a trapezoid frame with a threaded cylinder at the middle region to increase the bone-purchasing ability. Without the serrated anchor-ages, the final ALIF model of the SynCage-Open cage is further instrumented with bilateral pedicle screws to en-hance the construct stability. The models of all cage sys-tems were established by SolidWorks, Ed. 2012 software (SolidWorks Corporation, Concord, MA, USA). The spikes of the Latero cage and the screw threads of the SynFix cage were omitted to simplify numerical calcula-tion (Figure 1).

For ALIF simulation, the L3-4 level of the INT model underwent partial discectomy and total nuclectomy. For the SynFix, Stabilis and SynCage-Open models, the an-terior approach was used to remove the anan-terior longitu-dinal ligament, anterior and a half inner layer of the annulus, and the entire nucleus pulpous. For the Latero model, the lateral approach was adapted to remove the lateral and a half inner layer of the annulus and the en-tire nucleus pulpous. All the other ligaments of the three models were preserved.

Accordingly, the Latero, SynFix, Stabilis, and SynCage-Open peek cages were modeled and inserted into the L3-4 level. The friction coefficient of the bone-cage interfaces was 0.8 to mimic a serrated surface for the initial stability of the trapezoid frame [14]. The SynCage-Open model was supplemented with bilateral transpedicular fixation. In the SynCage-Open and SynFix models, the pedicle screw (6-mm diameter) and locking screw (4-mm diameter) were respectively modeled with three-dimensional beam elements. The bone-screw interfaces were assumed to be fully bonded to simulate intimate bone-screw purchase. The numbers of elements and nodes were 98,988/135,786, 112,087/253,492, 114,849/162,169, and 106,436/180,875 for the Latero, SynFix, Stabilis, and SynCage-Open models, re-spectively. The material properties of the ALIF cages, sup-plementary components, and transpedicular fixator were listed in Table 1.

Finite-element analyses

Only vertical compression onto the lumbar top can po-tentially lead to excessive movement of the lumbar col-umn [16]. In this study, the follower load was used to constrain each motion segment of the lumbar model with the two-node truss elements that induce contrac-tions for a given temperature change [26]. In principle, the ideal follower load remains tangent to the spine curve, and each spinal segment is loaded in nearly pure compression without artifact motions. Using the trial-and-error method, the attached points of truss elements were modified to optimize the follower load path ap-proximated through the instantaneous center of rotation

at each motion segment [27]. This study cautiously de-creased the temperature of the truss elements to produce a 400-N follower load for minimizing the ROM of each motion segment (<0.2°). Subsequently, a 10-Nm moment was applied to the lumbar top to simulate flexion-extension, left/right lateral bending, and left/right axial ro-tation, respectively. During simulation, the bottom of the L5 vertebral body was fixed completely. The comparison indices were intersegmental ROM, facet force, and stresses of annulus, implant, and endplate. The annulus stress is the stress of the ground substance. From the biomechan-ical viewpoint, the annulus fibers are mainly responsible for the tension. However, the ground substance can bear the various loads that always exist within the interverte-bral discs. Previous in vitro studies demonstrated that a disc may prolapse under certain load combinations of flexion, lateral bending, axial rotation, and axial compres-sion [28-30]. Only the stress of the annulus fibers cannot provide the sufficient information about the disc loads. Consequently, this study uses the stress of the ground substance as the index of the disc prolapse and herniation.

Results

This study used four parameters as the comparison indi-ces, including intersegmental ROMs, annulus stress, endplate stress, and facet contact forces (Figures 3, 4, 5, 6, 7 and 8). There were five models: one intact (INT), 3 stand-alone ALIF cages (Latero, SynFix, and Stabilis), and one established fixation (A + P: SynCage with transpedi-cular fixation). The ROM comparison of the instrumented models with normal and osteoporotic bone was normalized by thecorrespondingvalueoftheintactmodel.

Convergence and validation of the intact model

The convergence test consisted of three mesh qualities: 4,750 elements / 4,960 nodes for the coarse model, 27,244 elements / 30,630 nodes for normal model, and 84,594 elements / 94,162 nodes for the finest model. For the finest mesh quality, the changes in total ROM were respectively within 1.03% in flexion (< 0.2°), 4.39% in ex-tension (< 0.5°), 0.01% in torsion (<0.2°), and 0.001% in lateral bending (< 0.1°). Consequently, this study used the finest model to evaluate the biomechanical behaviors of the INT and ALIF models under four physiological motions.

For model validation, the ROM changes in five levels of the INT model were compared with the experi-mental results of Rohlmann’s study [27]. Under 3.75-and 7.5-Nm moments with 150-N preload, a previous study [31] by the current authors showed data of the current INT model within the extreme values of Rohlmann’s results. Under a 10-Nm moment with 150 N preload, however, the predicted ROMs of this study were 6° to 11° less than those of thein vitro tests

(6)

under flexion. This might be explained by the differing preload applications of the current (pressure preload) and earlierin vitro tests (vertical preload) [12,14]. The pressure preload applied a compressive force of 150 N that was al-ways perpendicular to the lumbar top. However, the com-pression of the vertical preload was consistently orthogonal to the horizontal plane during lumbar motion. Conse-quently, the pressure preload resulted in a much lower bending moment compared with the vertical preload. In torsion, the facet contact force of the INT model ranged between 121 to 130 N and the values were within the ranges of earlier studies [25,32]. This indicated that the INT model was well verified for further simulation of the

four ALIF models. In total, there were nine models (one in-tact, four instrumented × two bones) and six motions sim-ulated in this study.

Intersegmental ROM at the surgical and adjacent levels

Referring to Panjabi’s ALE formula [33], the restricted ROM of the instrumented model was compared with the corresponding ROM value of the INT model (Figure 3).

The A + P model had the maximal capability in restricting ROM from −76.5% to −93.8% in all motions. The Latero model performed ROM control similar to that of A + P, and superior to that of the SynFix model in flexion and extension. Moreover, the Latero model

Figure 3 Comparison of the normalized intersegmental ROM among all models under six motions. (A) Surgical level. (B-C) Adjacent levels.

(7)

performance was similar to that of the SynFix model in bilateral axial rotation and left lateral bending, but infer-ior in right lateral bending. The asymmetrical design of the Latero model with the vertebral plate placed on the left side explained the different behaviors in left versus right lateral bending. The Stabilis model had the lowest values in all motions, especially in controlling lateral bending (−21.0%) and extension (−10.6%). This finding is consistent with the result of the previous study by the current authors [14].

For the osteoporotic lumbar, the percentages of re-stricted ROM at the surgical level for all models were also shown in Figure 3. Under the osteoporotic condi-tion, the percentages of restricted ROM consistently de-creased for all models. The percentages of change rate were 2.7% ~ 10.8% in the Latero, 9.7% ~ 15.9% in the SynFix, 4.4% ~ 13.0% in the Stabilis, and 4.8% ~ 8.2% in the A + P models. The maximal change rate was around 10% in the Latero (10.8%) and A + P (8.2%) models, and slightly higher in the SynFix (15.9%) and Stabilis (13.0%) models. Under the osteoporotic condition, the A + P model still had 70% of ROM control; while the Latero model had weaker control in right lateral bending (−25.9%, versus −36.7% in normal bone), the SynFix model

had weaker control in extension (−38.0%, versus −50.7% in normal bone), and the Stabilis model had even weaker control in extension (−6.2%) and lateral bending (−8.0%).

ROM control of the adjacent levels under normal and osteoporosis conditions for all models were shown in Figures 3a-c. Under both conditions, the percentages of ROM change rate were less than 12.3% at L2-3, and less than 15.8% at the L4-5 level as compared to the INT model. The difference of ROM change rates was small at the adjacent levels of each model under normal and osteoporotic conditions.

Annulus stress

Referring to Panjabi’s formula [33], the normalized per-centages of the maximum annulus stress at the surgical level of all models were shown in Figure 4a. At the sur-gical level, the normalized annulus stress and interseg-mental ROM can be well correlated for each model. The Latero model had maximum annulus stress similar to the A + P model, and was superior to the SynFix model in flexion and extension. It was also similar to the SynFix model in bilateral axial rotation and left lateral bending, but inferior in right lateral bending.

(8)

Under the normal condition, the annulus stress distri-bution of the four instrumented models was shown in extension, right and left lateral bending (Figures 5a-c). The Latero had annulus stress distribution similar to the A + P model in extension (Figure 5a), similar to the Stabilis model in right lateral bending (Figure 5b), and similar to the SynFix model in left lateral bending (Figure 5c). The Stabilis model showed the highest annulus stress in all mo-tions, with the stress being concentrated at the posterior annulus in extension (Figure 5a) and at the lateral annulus in bilateral lateral bending (Figures 5b, c). In contrast, the annulus stress was more evenly distributed in the other three models. However, at the adjacent L2-3 and L4-5 levels, there was no obvious difference in annulus stress distribution among the four instrumented models.

Facet contact force

The facet contact forces at the surgical and adjacent levels of all models are shown in extension and bilateral

rotation (Figures 6a-c). The A + P model had nearly zero facet contact force at the surgical level in all motions, because the relative motions of the facets joint were re-stricted by the pedicle screw. In extension, the Latero model could control most of extension (−91.6%) and there was lit-tle force shifted to the facet joints (Figure 6a). In bilateral axial rotation, the facet contact force of the Latero and SynFix models were similar, because both devices had simi-lar capability in controlling axial rotation (Figures 6b-c). The highest values of facet contact force at the surgical level of the Stabilis model could be explained by the poorer con-trol of extension and axial rotation. At the adjacent levels, there were small differences (<15.0 N) of facet contact force among the four models in extension and axial rotation (Figures 6a-c; left: left facet and right: right facet).

Implant stress

The maximum stresses sustained by the integrated parts of three stand-alone cages were shown in Figure 4b. The locking screws of the SynFix model had higher stress than the vertebral plate of Latero and the threaded cylin-der of Stabilis models in all motions. The ratios of max-imum stresses at the integrated parts among Latero, SynFix and Stabilis models were 1: 9.6: 2.7 in extension, 1: 2.9: 0.2 in right lateral bending, and 1: 2.2: 0.4 in right axial rotation, respectively. The maximum stress at the integrated parts of the Latero model was similar to that of the Stabilis model in left lateral bending and left axial rotation.

The stress distribution at the integrated part of the three stand-alone models was shown in extension, right lateral bending, and right axial rotation (Figures 7a-c). In these three motions, the stress was concentrated at the base of the locking screws in the SynFix model; while the stress was evenly distributed over the vertebral plate in the Latero model and the threaded cylinder in the Stabilis model.

Endplate stress

Since cage subsidence most commonly occurs at the lower endplate of the upper vertebra [2], only the maximum stress on the L3 endplate was calculated. All models con-sistently showed that the maximum stress occurs at the top surface of the L3 vertebra (Figure 8). The adjacent endplate of the Latero model was more stressed than the other models in axial rotation. Among all motions, the L3 endplate was most stressed in flexion at the SynFix model. In extension, the stress ratios of the contact surface on L3 between the three stand-alone cage models in extension equal to 1:1.07:1.15 in Latero, SynFix, and Stabilis, respect-ively. The aforementioned stress ratios were 1:1.47:0.53, 1:0.48:0.53 and 1:0.31:0.34 in flexion, left axial rotation and right axial rotation, respectively. The highly stressed

Figure 5 Stress distribution of the ground substance at the surgical level for all models. (A) Extension (B) Left lateral bending. (C) Right lateral bending.

(9)

endplate of the Latero model in axial rotation might be at-tributed to the smaller contact surface of the Latero cage.

Discussion

Nowadays, the interbody fusion cage with transpedicular fixation has been established as the standard for lumbar degenerative disorders due to its high fusion rate. How-ever, there have been concerns about approach- and device-related issues as well as adjacent segment disease (ASD). ASD is an important long-term issue in lumbar

fusion. The literature has shown the incidence of ASD when using pedicle screws is much higher than that for ALIF, where the incidence of ASD after anterior fusion is similar to that under natural conditions [34]. Recently, surgical trends have shifted using minimally invasive techniques through alternative approaches and reduced loads of fixation devices to mitigate the issues of con-cern. Examples of such techniques are anterior stand-alone cages coupled with self-stabilizing mechanisms, such as the Latero plate, SynFix screw, and Stabilis

Figure 6 Comparison of facet contact force among all models. (A) Extension. (B) Left axial rotation. (C) Right axial rotation. Middle bars are the surgical level (L3-4); left and right bars are the adjacent levels (L2-3 and L4-5).

(10)

cylinder, which eliminate the need of posterior fixation (Figure 1). Despite the claimed improvements in construct stability, anterior access has disadvantages, including risk of vascular injury and sacrificing of the anterior longitu-dinal ligament [35].

In this study, the results of ROM control showed that the A + P model had the best overall performance and the Stabilis model had the weakest ROM control. Both Latero and SynFix models were shown to have >50% of ROM control in all motions except for that of the Latero model, which demonstrated a discrepant control of left (−59%) and right lateral bending (−37%). The asymmet-rical design of the Latero cage and its instrumentation in the left side of interspace may explain the different left and right bending behaviors. In practice, this discrepancy

might be compensated for by adding bone grafts or elongating the cage to cover the right side of the inter-space. Various biomechanical studies have shown that stand-alone cages lack control of extension and axial ro-tation but not of flexion and lateral bending [7]. The Latero model (−92%) had comparable control in extension as the A + P model (−94%) and was significantly superior to the SynFix model (−51%). This could be explained by the force vector of extension which was directly perpen-dicular to the Latero plate. This also accounts for the ex-cellent control of extension and axial rotation by the Latero plate in comparison to the other counterparts (Figure 3).

Under osteoporotic conditions, all models lost a little ROM control at the surgical level, ranging from 3% to

Figure 7 Distribution of implant stress for the Latero, SynFix, and Stabilis models. (A) Extension. (B) Left lateral bending. (C) Right lateral bending.

(11)

16% (Figure 3). In real life with osteoporosis, the screw-based devices (SynFix and A + P) potentially exhibit screw loosening after cyclic loading. Although the rigidity of the screw-bone interface may be enhanced by injecting cement, there is the possibility of cement-related hazards. In Stabilis, the bony endplates might be compromised by threading in the cylindrical cage, and a higher incidence of cage subsidence than in other cages has been reported [2]. The Latero plate utilizes a stabilizing mechanism which is dissimilar from those of other devices; it remains to be proved clinically whether the Latero model behaves differently in an osteoporotic lumbar. At the adjacent levels, their segmental ROMs were indeed changed when compared with the intact state. However, the changes were small among these four models, even in the stiffest A + P model which is known to have a higher incidence of ASD at long-term follow up. This finite-element study cannot reflect the consequences of clinical cyclic loading, it can only reveal the ROM changes of adjacent levels.

The varying design concepts of the integrated parts in the self-stabilizing cages not only affect their ROM con-trol, but also influence the stress distribution on the de-vice and the adjacent tissues. In this study, the stress distribution on the Latero plate was much lower and

more evenly distributed than that of the SynFix screws (Figure 7). The SynFix screws sustained 3.75 to 9.57 times greater stresses than the Latero plate, with the stress concentrated at the cage-screw junctions. For the Latero and SynFix models, the difference in modes and amounts of distributed stress might be explained by the different configurations of the stabilizing components: sizes, contact areas, and the distance to the center of ro-tation. In cyclic loading, the Latero plate might be less likely to have fatigue failure than the SynFix screws. The cylindrical cage of the Stabilis model sustained the low-est stress as a result of its relatively suboptimal ROM control.

Stress distribution on the vertebra-cage interface repre-sents vertical compression force exerted on the bony endplate. The Latero model exerted the highest stress on the L4 endplate compared to the other models (Figure 8). This might be due to the stress not being fully shielded by the intervertebral plate and being redistributed by the plate and transmitted onto the L4 endplate. Compara-tively, the stress was shielded by the screws of the SynFix and A + P models and thus less stress was distributed on the endplate. In the Stabilis model, because of its rela-tively poor ROM control, the distributed stress on the

Figure 8 Distribution of endplate stress on the upper surface of the L4 vertebra for all models. (A) Flexion. (B) Extension. (C) Left lateral bending. (D) Left axial rotation.

(12)

endplate was less than in the other three models. There were two biomechanical implications in the Latero model, which had higher vertical load on the L4 endplate than the other counterparts. The first implication indi-cates that higher vertebral stress may increase the inci-dence of cage subsiinci-dence particularly in suboptimal bone density. On the other hand, unshielded vertical load may be beneficial for graft consolidation according to Wolff's law.

After interbody fusion, abnormally high transmission of loads to the facet joints may ultimately result in arthritic changes. At the surgical level, when comparing the three stand-alone cage models, the Latero model was shown to have the lowest values of facet contact force in bilateral rotation and was near absent in extension (Figure 6). The facet joints at the surgical level seemed to be relatively well protected in the Latero model in comparison to the SynFix and Stabilis models. At the adjacent levels, there were few differences of facet contact force among all four instrumented models. This indicates that the reasons for the degenerative facet joints at the adjacent levels might be attributed to the other clinical factors.

Distribution of annulus stress can provide the clinical implication that higher stress may result in annulus dis-ruption and disc herniation [28-30]. At the surgical level for the four instrumented models, the distribution of an-nulus stress was well correlated inversely to their ROM control (Figures 3, 4a). At right lateral bending, the highest annulus stress was found in the Latero model, where it was concentrated at the right annulus. This corresponded to the relatively inferior control of the Latero due to its asymmetrical design. The posterior and left sides of annu-lus in the Stabilis model sustained the highest stress at ex-tension and lateral bending, which manifested in its inferior control of those moments.

Conclusions

There were several limitations inherent in this study. Bone fusion was not included and only the effect of the initial stability was considered for the stand-alone cages. Degen-erative discs are common in most patients with ALIF sur-gery; however, it is challenging in modeling to assign material properties to various grades of degenerative discs, such as delamination, dehydration, or reduced disc height. These variations of the lumbar tissues were not included in this study. In addition, the geometry of implants was some-what simplified for mesh modeling. This study was not concerned with the effect of bone ingrowth into the cage and ligament pretension after inserting the implants. The stabilizing behaviors of trunk muscles were mimicked by the follower load that has been extensively used in related in vitro tests [16,27]. However, the real situations of muscle contraction and complicated external load conditions in vivo were not investigated. The fatigue failure of the

cages’ components was not studied in the static simulation and the current authors we recommend that they should be evaluated by experimental or clinical observation.

In conclusion, this study extensively compared the sta-bilizing mechanisms of three stand-alone ALIF cages. The vertebral plate of the Latero model provided sufficient ability in stabilizing intersegmental motions: it was parable to the A + P model in flexion and extension, com-parable to the SynFix in bilateral axial rotation and left lateral bending, and inferior but compensable in right lat-eral bending. In contrast, the Stabilis model was less favor-able due to its poorer control in extension and lateral bending. Further experimental and clinical studies should be conducted to validate the numerical observations.

Abbreviations

ALIF:Anterior lumbar interbody fusion; INT: Intact model; A + P: Model, SynCage with transpedicular fixation; ROM: Range of motion; FL: Flexion; EX: Extension; LLB: Left lateral bending; RLB: Right lateral bending; LAR: Left axial rotation; RAR: Right lateral bending.

Competing interests

The authors declare that they have no competing interests. Authors’ contributions

MCC participated in the study design, in collecting the data, the statistically analyses and drafting of the manuscript. SHC, JFL and CHH participated in the study design. SCL advised and assisted drafting of the manuscript. All authors read and approved the final manuscript.

Acknowledgements

This study was supported by a grant from the National Science Council of the Republic of China. The computing facilities provided by the National Center for High-Performance Computing are greatly appreciated. Author details

1Department of Orthopedics, Tzu-Chi General Hospital at Taichung and Tzu

Chi University, Taichung, Taiwan.2Department of Mechanical Engineering, National Chiao Tung University, 1001 University Road, Hsinchu 30010, Taiwan.3BoneCare Orthopedic Centers, Han-Chiung Clinics, Taipei, Taiwan.

4Graduate Institute of Biomedical Engineering, National Taiwan University of

Science and Technology, Taipei, Taiwan.

Received: 6 March 2013 Accepted: 24 September 2013 Published: 2 October 2013

References

1. Schleicher P, Gerlach R, Schár B, Cain CM, Achatz W, Pflugmacher R, Haas NP, Kandziora F: Biomechanical comparison of two different concepts for stand alone anterior lumbar interbody fusion. Eur Spine J 2008, 17:1757–1765.

2. Cho CB, Ryu KS, Park CK: Anterior lumbar interbody fusion with stand-alone interbody cage in treatment of lumbar intervertebral foraminal stenosis: comparative study of two different types of cages. J Korean Neurosurg Soc 2010, 47:352–357.

3. Brantigan JW, Steffee AD, Lewis ML, Quinn LM, Persenaire JM: Lumbar interbody fusion using the Brantigan I/F cage for posterior lumbar interbody fusion and the variable pedicle screw placement system: two-year results from a Food and Drug Administration investigational device exemption clinical trial. Spine 2000, 25:1437–1446. 4. Kuslich SD, Danielson G, Dowdle JD, Sherman J, Fredrickson B, Yuan H,

Griffith SL: Four-year follow-up results of lumbar spine arthrodesis using the Bagby and Kuslich lumbar fusion cage. Spine 2000, 25:2656–2662. 5. Pavlov PW, Spruit M, Havinga M, Anderson PG, van Limbeek J, Jacobs WC:

Anterior lumbar interbody fusion with threaded fusion cages and autologous bone grafts. Eur Spine J 2000, 9:224–229.

(13)

6. Steffen T, Tsantrizos A, Aebi M: Effect of implant design and endplate preparation on the compressive strength of interbody fusion constructs. Spine 2000, 25:1077–1084.

7. Oxland TR, Lund T: Biomechanics of stand-alone cages and cages in combination with posterior fixation: a literature review. Eur Spine J 2000, 9:S95–S101.

8. Steffen T, Tsantrizos A, Fruth I, Aebi M: Cage: designs and concepts. Eur Spine J 2000, 9:S89–S94.

9. Costa F, Sassi M, Ortolina A, Cardia A, Assietti R, Zerbi A, Lorenzetti M, Galbusera F, Fornari M: Stand-alone cage for posterior lumbar interbody fusion in the treatment of high-degree degenerative disc disease: design of a new device for an“old” technique. A prospective study on a series of 116 patients. Eur Spine J 2011, 20:S46–S56.

10. Tsuang YH, Chiang YF, Hung CY, Wei HW, Huang CH, Cheng CK: Comparison of cage application modality in posterior lumbar interbody fusion with posterior instrumentation—A finite element study. Med Eng Phys 2009, 31:565–570.

11. Lin RM, Huang KY, Lai KA: Mini-open anterior spine surgery for anterior lumbar diseases. Eur Spine J 2008, 17:691–697.

12. Cain CM, Schleicher P, Gerlach R, Pflugmacher R, Scholz M, Kandziora F: A new stand-alone anterior lumbar interbody fusion device: biomechanical comparison with established fixation techniques. Spine 2005, 30(23):2631–2636.

13. Kim Y: Finite element analysis of anterior lumbar interbody fusion: threaded cylindrical cage and pedicle screw fixation. Spine 2007, 32:2558–2568.

14. Chen SH, Tai CL, Lin CY, Hsieh PH, Chen WP: Biomechanical comparison of a new stand-alone anterior lumbar interbody fusion cage with established fixation techniques - a three-dimensional finite element analysis. BMC Musculoskelet Disord 2008, 9:88.

15. Jost B, Cripton PA, Lund T, Oxland TR, Lippuner K, Jaeger P, Nolte LP: Compressive strength of interbody cages in the lumbar spine: the effect of cage shape, posterior instrumentation and bone density.

Eur Spine J 1998, 7:132–141.

16. Patwardhan AG, Havey RM, Meade KP, Lee B, Dunlap B: A follower load increases the load-carrying capacity of the lumbar spine in compression. Spine 1999, 24:1003–1009.

17. Kettler A, Wilke HJ, Dietl R, Krammer M, Lumenta C, Claes L: Stabilizing effect of posterior lumbar interbody fusion cages before and after cyclic loading. J Neurosurg 2000, 92:87–92.

18. Kim Y: Prediction of mechanical behaviors at interfaces between bone and two interbody cages of lumbar spine segments. Spine 2001, 26:1437–1442.

19. Oxland TR, Lund T, Jost B, Cripton P, Lippuner K, Jaeger P, Nolte LP: The relative importance of vertebral bone density and disc degeneration in spinal flexibility and interbody implant performance. Spine 1996, 21:2558–2569.

20. Polikeit A, Ferguson SJ, Nolte LP, Orr TE: Factors influencing stresses in the lumbar spine after the insertion of intervertebral cages: finite element analysis. Eur Spine J 2003, 12:413–420.

21. Silva MJ, Keaveny TM, Hayes WC: Load sharing between the shell and centrum in the lumbar vertebral body. Spine 1997, 22:140–150. 22. Lu YM, Hutton WC, Gharpuray VM: Do bending, twisting, and diurnal fluid

changes in the disc affect the propensity to prolapse? A viscoelastic finite element model. Spine Nov 1996, 21(22):2570–2579.

23. Schmidt H, Heuer F, Simon U, Kettler A, Rohlmann A, Claes L, Wilke HJ: Application of a new calibration method for a three-dimensional finite element model of a human lumbar annulus fibrosus. Clin Biomech (Bristol, Avon) May 2006, 21(4):337–344.

24. Carter DR, Hayes WC: The compressive behavior of bone as a two-phase porous structure. J Bone Joint Surg Am 1977, 59(7):954–62.

25. Goel VK, Monroe BT, Gilbertson LG, Brinckmann P: Interlaminar shear stresses and laminae separation in a disc. Finite element analysis of the L3-L4 motion segment subjected to axial compressive loads. Spine 1995, 20:689–698.

26. Renner SM, Natarajan RN, Patwardhan AG, Havey RM, Voronov LI, Guo BY, Andersson GB, An HS: Novel model to analyze the effect of a large compressive follower pre-load on range of motions in a lumbar spine. J Biomech 2007, 40:1326–1332.

27. Rohlmann A, Neller S, Claes L, Bergmann G, Wilke HJ: Influence of a follower load on intradiscal pressure and intersegmental rotation of the lumbar spine. Spine 2001, 26:E557–E561.

28. Edwards WT, Ordway NR, Zheng Y, McCullen G, Han Z, Yuan HA: Peak stresses observed in the posterior lateral anulus. Spine 2001, 26:1753–1759.

29. Adams MA, Hutton WC: The mechanics of prolapsed intervertebral disc. Int Orthopaed 1982, 6:249–253.

30. McNally DS, Adams MA, Goodship AE: Can intervertebral disc prolapse be predicted by disc mechanics? Spine 1993, 18:1525–1530.

31. Chen SH, Zhong ZC, Chen CS, Chen WJ, Hung C: Biomechanical comparison between lumbar disc arthroplasty and fusion. Med Eng Phys 2009, 31:244–253.

32. Goel VK, Kong W, Han JS, Weinstein JN, Gilbertson LG: A combined finite element and optimization investigation of lumbar spine mechanics with and without muscles. Spine 1993, 18:1531–1541.

33. Panjabi MM: Hybrid multidirectional test method to evaluate spinal adjacent-level effects. Clin Biomech 2007, 22:257–265.

34. Bae JS, Lee SH, Kim JS, Jung B, Choi G: Adjacent segment degeneration after lumbar interbody fusion with percutaneous pedicle screw fixation for adult low-grade isthmic spondylolisthesis: minimum 3 years of follow-up. Neurosurg. 2010, 67:1600–1607.

35. Ploumis A, Wu C, Fischer G, Mehbod AA, Wu W, Faundez A, Transfeldt EE: Biomechanical comparison of anterior lumbar interbody fusion and transforaminal lumbar interbody fusion. J Spinal Disord Tech 2008, 21:120–125.

doi:10.1186/1471-2474-14-281

Cite this article as: Chen et al.: Biomechanical comparison of three stand-alone lumbar cages— a three-dimensional finite element analysis. BMC Musculoskeletal Disorders 2013 14:281.

Submit your next manuscript to BioMed Central and take full advantage of:

• Convenient online submission

• Thorough peer review

• No space constraints or color figure charges

• Immediate publication on acceptance

• Inclusion in PubMed, CAS, Scopus and Google Scholar

• Research which is freely available for redistribution

Submit your manuscript at www.biomedcentral.com/submit

數據

Figure 1 Front and side views of the four ALIF cages were used in this study. (A) Latero
Figure 2 The lumbar finite-element model used in this study. (A) Intact model from L1 to L5 levels
Table 1 Material properties used in the FE model
Figure 3 Comparison of the normalized intersegmental ROM among all models under six motions
+6

參考文獻

相關文件

Hence, we have shown the S-duality at the Poisson level for a D3-brane in R-R and NS-NS backgrounds.... Hence, we have shown the S-duality at the Poisson level for a D3-brane in R-R

Microphone and 600 ohm line conduits shall be mechanically and electrically connected to receptacle boxes and electrically grounded to the audio system ground point.. Lines in

strengthening  movement  was broader; to defend the  traditional  society  against  barbarian  onslaught  and  internal  subversion.” (Mary  Wright,  The  Last 

Based on Biot’s three-dimensional consolidation theory of porous media, analytical solutions of the transient thermo-consolidation deformation due to a point heat source buried in

Based on Biot’s three-dimensional consolidation theory of porous media, analytical solutions of the transient thermo-consolidation deformation due to a point heat source buried

The research result indicates that among the three constructs of website service, general service and technical service, website service and general service have shown high

In order to investigate the bone conduction phenomena of hearing, the finite element model of mastoid, temporal bone and skull of the patient is created.. The 3D geometric model

Wada H., Koike T., Kobayashi T., “Three-dimensional finite-element method (FEM) analysis of the human middle ear,” In: Hüttenbrink KB (ed) Middle ear mechanics in research