Abstract
BACKGROUND:
Laminectomy may cause kyphotic postoperative deformity in the cervical region leading to segmental instability over time. Laminoplasty may be an alternative procedure to laminectomy, as it protects the spine against post-laminectomy kyphosis; however, similar to laminectomy, laminoplasty may cause sagittal plane deformities by destructing or weakening the dorsal tension band.
OBJECTIVE:
Using finite element analysis (FE), we attempted to determine whether a posterior motion preservation system (PEEK posterior rod system concept) could overcome the postoperative complications of laminectomy and laminoplasty and eliminate the side effects of rigid posterior stabilization in the cervical region.
METHODS:
We compared PEEK rods in four different diameters with a titanium rod for posterior cervical fixation. The present study may lead to motion preservation systems of the cervical vertebra.
RESULTS:
When PEEK rod is compared with titanium rod, considerable increase in range of motion is observed.
CONCLUSIONS:
PEEK rod-lateral mass screw instrumentation systems may be useful in motion preservation surgery of the posterior cervical region.
Keywords
Introduction
The cervical spine is composed of seven vertebrae and is located between the craniovertebral junction and thoracic region. Its physiological shape is a lordotic curvature. Any deviation from this shape will cause problems. Reduction or loss of segmental or global lordosis of the cervical spine is thought to be among the main causes of degenerative changes which in turn lead to axial neck pain. Approximately one fourth of people suffering from neck pain have straight cervical spine or kyphotic deformity. Most of these patients have segmental kyphotic deformity of more than 4 degrees, especially at the C4-5 level, followed by C5-6 and C3-4 [1]. These deformities should be considered before surgical procedures are initiated.
Postsurgical instability and kyphotic deformity are among the complications of cervical laminectomy and affect the surgical results. Laminectomy is a destructive procedure for the cervical spine. Multilevel laminectomy may cause kyphotic deformity and lead to axial pain and segmental instability over time or accelerated adjacent segmental degeneration [1–4]. The exact degree of kyphotic deformity where the problems start post-surgery remains unknown, but it is well known that postsurgical kyphosis results in negative consequences. Laminoplasty may be a suitable alternative to laminectomy, as it protects the spine against post-laminectomy kyphosis. It is generally known as a clinically effective procedure with low complication rates and good postoperative symptomatic improvement [5]. But there is enough evidence against the protective effect of laminoplasty on kyphosis. According to Kimura, if laminoplasty is applied in a kyphotic or ‘S’ shaped malaligned neck, postoperative neurologic deterioration may be seen [6,7]. However, according to the results of a meta-analysis, laminoplasty may also cause sagittal plane deformities by destroying or weakening the dorsal tension band, similar to a laminectomy, which makes it necessary to fixate the spine dorsally [8]. The contemporary posterior cervical fixation systems are rigid systems, usually leading to postoperative complications of fusion. With this concern in mind, we propose a motion preserving posterior cervical stabilization system.
Materials and methods
We simulated posterior cervical surgery (laminectomy of two segments, followed by instrumentation with different sized rods made of different materials) using finite element (FE) analysis. We examined whether a posterior motion preservation (dynamic) system at the cervical region would overcome postlaminectomy or postlaminoplasty complications. We used polyetheretherketon (PEEK) and titanium (Ti) rod systems connected to polyaxial lateral mass screws at two segments and compared the flexible PEEK rod with the rigid Ti rod in terms of range of motion (ROM).
The ROM of two models were investigated: (1) Intact (unoperated) spine and (2) Operated spine with different (Ti and PEEK) posterior stabilization systems.
The effects of two different support systems for lateral mass or pedicle-based posterior stabilization system including rigid Ti alloy rod and flexible PEEK rod on the biomechanics of cervical spine were analysed. This analysis determines the ROM of the index and adjacent levels after implantation of these posterior stabilization systems. The main objective of this study is to compare the ROM of the two rod systems and to ascertain whether the PEEK rod system is satisfactory in motion preservation in the posterior cervical region after decompression operations.
A FE model of the human cervical spine model was used to predict engineering parameters. As test material, Ti6Al4V grade 5 Titanium biocompatible alloy support for lateral mass or pedicle-based posterior stabilization system and PEEK rod for lateral mass or pedicle-based posterior stabilization system were used. This stabilization system fixes the cervical vertebral column posteriorly after removal of the posterior structures of the spine for decompression (Figs 1 and 2). Biomechanical evaluation of the model includes the ROM of intact posterior cervical vertebra, operated and stabilized posterior cervical vertebra by Ti or PEEK rods. von Misses stress on these rod components were predicted and compared.

X-ray of lateral mass screw and titanium rod-based posterior cervical stabilization system at the C4, C5 and C6 levels.

Insertion of lateral mass screws in the subaxial cervical region in the anterior posterior, lateral and axial planes.
The correction factors of the collagen fibers and ligaments were altered according to the method of calibration introduced by Kallemeyn et al. [9]. The inferior surface of the model (C7) was fixed, and a bending moment of 2 Nm was applied to the superior surface of the upper (C2) vertebra in the intact spine. The segmental and overall ROM were calculated in flexion, extension, right-left lateral bending and axial rotations respectively by von Mises stresses (Figs 3A, 3B, 3C).

A: Cervical flexion and extension motions. B: Cervical left and right bending motions. C: Cervical right and left axial rotation motions.
Boundary and loading conditions were set and replicated in vitro. All simulations were conducted using commercial FE software (Abaqus 6.11; Dassault Systemes Simulia Corporation, Pennsylvania, USA). The comparison results showed that the ROM of the intact model falls within the standard deviation, which suggest that this model can effectively reflect the motion of the human cervical spine.
As the FE sample, computed tomography (CT) scan data from a healthy 35-year-old man was used. It was validated in all three main planes to construct the three-dimensional model of the full cervical spine from C2-C7. This model included all the main physiological features of the actual spine, including major ligaments, intervertebral discs, and apophyseal (facet) joints. The kinematic data predicted by this FE model in all segments were within the standard deviation or close to the average of the results of the computer model of the cervical spine sample.
Four similar consecutive studies were evaluated on this FE model. For each study, Ti6 Al4V and a PEEK pedicle-based posterior stabilization systems (polyaxial lateral mass screws [14 mm long] connected to a PEEK rod) were used. The diameter of the PEEK rods were 3, 3.4, 3.7 and 4 mm and the diameter of the Ti rod was 4 mm. Figure 4 shows the FE model of the intact (unoperated) cervical spine and Figs 5 and 6 show the stabilized posterior cervical vertebrae after laminectomy with the Ti rod or PEEK rods of different sizes (Figs 4, 5, 6).

FE model of the intact cervical spine.

Finite element model of the cervical spine with different sized (3, 3.4, 3.7 and 4 mm) PEEK rods.

Finite element model of the cervical spine with the 4 mm Ti rod.
The FE analyses of the following models were studied: (1) intact cervical spine (ICS) (Fig. 4); (2) ICS + lateral mass-based posterior stabilization (LMBPS) with 3 mm diameter PEEK rod at C4-C6 (Fig. 5); (3) ICS + LMBPS with 3.4 mm diameter PEEK rod at C4-C6; (4) ICS + LMBPS with 3.7 mm diameter PEEK rod at C4-C6; (5) ICS + LMBPS with 4 mm diameter PEEK rod at C4-C6; (6) ICS + LMBPS with 4 mm diameter Ti6Al4V rod at C4-C6 (Fig. 6). Figure 7 depicts the laminectomy zones at the posterior cervical region on this FE model.

The laminectomy zones of the FE model are depicted by red circles.
The segments examined in this study are: C2-3, C3-4, C4-5, C5-6, C6-7 (‘segment’ indicates each intervertebral level). The samples examined are (a) the intact model, the model without instrumentation; (b) the models with a PEEK rod (3, 3.4, 3.7 and 4 mm in diameter); (c) the model with a Ti rod. (‘Sample’ indicates each unique surgical model). Each segment and sample were combined and analyzed in the FE study based on four directions of motion: flexion, extension, lateral bending (either right or left), or axial rotation (either right or left). The main cervical motions are depicted in Figs 3A, B and C. The results of the FE analyses are shown in Table 1. Figures 8 to 11 illustrate the FE analyses.
Range of motion for intact (non-operated) and operated (posterior fixated) (3, 3.4, 3.7 and 4 mm PEEK rod and 4 mm Ti rod) FE cervical spine. C4-5 and C5-6 levels are index levels (operated levels)
Range of motion angle data are presented in angles (degrees). Estimated values are rounded to two decimals.
The ranges of motion of individual levels of the cervical spine (in degrees)

Range of motion for intact and intact with instrumented (3 mm PEEK rod, 4 mm Ti rod) FE cervical spine. C4-5 and C5-6 levels are the index level.

Range of motion for intact and intact with instrumented (3.4 mm PEEK rod, 4 mm Ti rod) FE cervical spine. C4-5 and C5-6 levels are the index level.

Range of motion for intact and intact with instrumented (3.7 mm PEEK rod, 4 mm Ti rod) FE cervical spine. C4-5 and C5-6 levels are the index level.

Range of motion for intact and intact with instrumented (4 mm PEEK rod, 4 mm Ti rod) FE cervical spine. C4-5 and C5-6 levels are the index level.
The maximum stress (Mpa) effect on the PEEK rods is shown in Fig. 12. Maximum stress is the total force applied over the total area. Its unit is MPa (mega pascal) (Stress = Force/Area). In our study, maximum stress demonstrates the ultimate tensile strength that PEEK or Ti rods can stand before failure, breakage, changing shape or bending. It shows the ultimate deformation letting physiologic motion. ‘CPRESS’ values from the ABAQUS output file were used for maximum stress calculations.

Maximum stress values effect on the PEEK rods of different sizes and the Ti rod. The y-axis shows the deformation percentage of different rods under the same maximum stress value. The x-axis shows the forms of forces. Particularly the thinner PEEK rods show more deformation and more motion under definite external forces.
PEEK rods provided greater ROM for both models in comparison to the Ti rod for all diameters. The ultimate results of the study are outlined below (an interpretation of the results is shown in Table 1).
4 mm Ti rod versus 4 mm sized PEEK rod motion in terms of degrees
Flexion: C4-5 segment, ROM of Ti/PEEK : 0.26°∕0.33°
C5-6 segment : 0.26°∕0.32°
Extension: C4-5 segment : Ti/PEEK : 0.05°∕0.08°
C5-6 level : 0.17°∕0.19°
Axial rotation: C4-5 segment: Ti/PEEK : 0.29°∕0.69°
C5-6 segment : Ti/PEEK : 0.34°∕0.42°
Lateral bending: C4-5 segment: Ti/PEEK : 0.33°∕0.48°
C5-6 segment: Ti /PEEK : 0.25°∕0.29°
4 mm Ti rod versus 3 mm sized PEEK rod
When the thinner calibrated rods are analyzed, a significant difference is noted between the PEEK and titanium rods in terms of degrees.
Flexion: C4-5 segment: Ti/PEEK : 0.26°∕0.36°
C5-6 segment: Ti/PEEK : 0.26°∕0.34°
Extension: C4-5 segment: Ti/PEEK : 0.05°∕0.1°
C5-6 segment: Ti/PEEK : 0.17°∕0.22°
Axial rotation: C4-5 segment: Ti/PEEK : 0.29°∕1.09°
C5-6 segment: Ti/PEEK : 0.34°∕0.96°
Lateral bending: C4-5 segment: Ti/PEEK : 0.33°∕0.58°
C5-6 segment: Ti/PEEK : 0.25°∕0.33°
These data demonstrate that ROM almost entirely decreased after implantation of the Ti rod and PEEK rods are more flexible for all forms of motion. Particularly for the thinner sized PEEK rods (3 and 3.4 mm), the ROM is almost twice as high than the Ti for flexion, extension and lateral bending and three times higher for axial rotation.
Discussion
The presented FE study is based on posterior cervical decompression surgery and instrumentation. In order to deal with the postoperative problems of this surgery, a spinal surgeon must be clear about cervical spinal stability, sagittal balance, spinal motion segment and the concepts of cervical laminectomy and laminoplasty.
According to White and Panjabi [10,11], spinal stability can be defined as the ability of the spine to protect the neural elements and its integrity under physiological forces, without causing neurological deficits or intractable pain. Normally, the cervical spine has a lordotic curvature. The lordosis angle is the angle between the lines parallel to the inferior end plate of the second cervical vertebra (C2) and superior end plate of the seventh cervical vertebra (C7). An alternative method to measure the lordosis angle is to find the angle between the lines tangential to the posterior borders of C2 and C7, or the angle between the perpendicular lines to C1 (axis) and the lower end plate of C7 (Fig. 13). In a normal vertebral column, the cervical region possesses a lordosis angle of 9 degrees on average (2–24 degrees), but a wide variety of measurements have been taken in previous studies [12]. In a geriatric cervical spine, normal lordosis decreases, and kyphosis may progress as a consequence of the loss of intervertebral disc height. The ligaments, intervertebral discs and facet joints are important structures that maintain the stability of the cervical vertebra. Failure of these structures with advancing age is associated with a decrease in the intervertebral disc height, osteophytes, ligament calcifications and disc degenerations, leading to the loss of compliance and physiological contour.

Two methods to calculate the cervical lordosis angle.
A spinal motion segment is composed of two adjacent vertebrae and an intervertebral disc. ROM of the cervical spine is calculated according to the lateral roentgenograms at flexion and extension, and each is approximately 10° per level [13]. The principal spinal motions are forward-backward and lateral translations, compression and distraction, and rotational motions, namely flexion-extension, lateral flexion and axial rotation. Generally, these motions occur in coupling motions (two or more together) rather than isolated motions, such as lateral flexion with axial rotation, or translation together with anterior flexion, etc.
This FE study is planned on instrumentation after laminectomy. Cervical laminectomy is one of the main surgical procedures preferred in the treatment of degenerative disorders, such as cervical stenotic myelopathy, excision of medullary tumors via a posterior approach, trauma surgery, multilevel degenerated discs and osteophytes with myelopathy, ossified posterior longitudinal ligament, and congenital cervical spinal stenosis. Laminectomy is a destructive procedure because the spinous processes and laminae are excised by rongeur up to the facet-laminae border (Fig. 14). In some cases after extensive decompression (more than 25% of facetectomy during laminectomy), postoperative kyphosis is inevitable and posterior stabilization is necessary [14]. Also, multilevel laminectomy may lead to segmental instability over time [2–4]. Postlaminectomy kyphosis usually leads to severe axial pain, especially a few months after surgery. The destruction of sagittal balance and iatrogenic muscular damage are the cause of this pain. Cervical kyphosis is a self-propagating process because the axial load tends to deform the spine contour over time as a result of longer bending movement, and deformity begets deformity [15].

Illustration of posterior cervical laminectomy. The figure shows two levels of extracted lamina.
Stand-alone cervical laminectomy for the aforementioned cervical pathologies has become increasingly rare due to the risk of postlaminectomy kyphosis and should only be used for a selected patient group with relative stiff lordotic cervical spines, taking care not to disrupt facets and C2 and C7 muscle attachments [16–19]. Hence, fixation of the posterior cervical region is necessary after the laminectomy procedure.
The laminoplasty technique via a unilateral approach was described as an alternative to laminectomy and is the unique alternative to laminectomy at the moment [14]. It is thought to decrease postoperative kyphotic deformity incidence [8] because posterior ligamentous and muscular elements, and the cervical anatomy are preserved [13]. In this procedure, the posterior spinal elements are kept open by titanium miniplates (Fig. 15). In the study by Pepa et al., the postoperative kyphotic deformity rate of laminoplasty was lower than that of laminectomy (without instrumentation) (0% versus 12.5%). However, the authors also reported a minimal reduction of approximately 18% in cervical lordotic alignment after the laminoplasty technique. The results of a meta-analysis in 2003 showed that the deformity rate following laminoplasty was comparable to that following posterior laminectomy [8]. Thus, laminoplasty and laminectomy may both cause sagittal plane deformities by destroying or weakening the dorsal tension band, eventually leading to postoperative spinal deformity, and laminoplasty does not completely preserve the lordotic angle in a long-term follow up [4]. Hence it is necessary to fixate the spine dorsally [8].

In the laminoplasty technique, unilaterally cut laminae is fixed by titanium miniplates.
To address these complications, the subaxial cervical spine is stabilized posteriorly by a variety of techniques, such as interspinous wiring using bone grafts, laminar clamps, hook plates, lateral mass screw and plates, and transpedicular screw and rod systems. Among these procedures, interspinous wiring was the most common technique before the advent of lateral mass screw fixation for cervical multilevel subaxial stabilization (Fig. 16).

Left: interspinous wiring. Right: the cervical lateral mass screw stabilisation system.
However, all the systems mentioned above are rigid stabilization systems. Rigid fixation has been accepted as the gold standard in the treatment of spinal disorders. But unfortunately it decreases the normal physiological ROM of the spine, eventually leading to undesirable complications. It has numerous drawbacks such as increased mechanical stress on the adjacent segment and pseudoarthrosis and fatique of the implants. This in turn causes long-term degenerative changes necessitating additional fusion surgery. For the cervical region, totally, a prevalence rate of adjacent segment disease ranging from 9% to 17% is reported [20]. The annual incidence of adjacent segment disease needing additional surgery is between 1.5% and 4%.
As a result, concerns regarding the long-term viability of the spinal motion segments adjacent to fusions is increasing and alternative spinal implants were developed on unsatisfactory outcomes of rigid implants. These motion preservation systems include anterior and posterior dynamic stabilization systems and are commonly used in the last two decades [20–26].
Our presented system is based on the posterior polyaxial screw and PEEK rod system. PEEK material in posterior dynamic systems can restore stability of the spine without adverse stress-shielding effects that have often been found with ‘rigid’ fusion devices made of ‘rigid’ Ti alloys. The elastic modulus of PEEK is 3.2 GPa and 114 GPa of Ti so it is a flexible material permitting physiologic motion of the spine [27].
Numerous studies in the literature have examined motion preserving PEEK posterior spinal systems [27–31]. But almost all of these are about the lumbar region. Besides, there are more than 23,000 journals in the medical literature about FE. Only a few of them are about the biomechanical efficacies of cervical systems and none of them are about motion preserving the posterior cervical systems [32–35].
To the best of our knowledge, just one semi dynamic system was described by Cusick et al. [36] in 2018. They described a stiff crisscross facet wiring mechanism, which was suggested to be less rigid than the conventional cervical plates for flexion motion. This study is still far more behind encountering the needs of a fully dynamic system as our PEEK rod but it deserves to be mentioned here because it is the only published non-rigid posterior cervical stabilization system.
As a result, the posterior cervical PEEK rod system seems to be a reasonable concept to overcome the problems of diminished ROM after posterior cervical instrumentation. Our FE model is conducted on two levels of laminectomy. It is a pioneer study, so future studies should be planned on more laminectomy levels and concurrent cadaver studies. Even for two levels of laminectomy, PEEK rods allow more ROM than Ti rods. Although these differences cannot be statistically verified (because this is a FE study), there are considerable differences. Differences of motion less than one degree are accepted to be in the error range in clinical settings. We believe that on the basis of computer analysis of FE models these differences are significant when they are considered for only one segment of the spine. We hope that subsequent studies based on this study on more levels will answer the purpose that PEEK rods let more ROM in the physiologic limits in cervical spine.
A limitation of the study is that a FE study examining only one specimen does not provide enough data for a statistical analysis. FE studies are dissent from statistical analysis but they expand the horizon for the supervening biomechanical, cadaver and clinical studies [37–43].
According to the ultimate accounts of this study, it can be clearly observed that the range of motion is higher with the PEEK rod than the Ti rod, especially for the thinner PEEK rods. For all sorts of motion (i.e. flexion, extension, lateral bending, axial rotation), the stiffness of the posterior stabilization system decreases as the diameter of the rod decreases and the difference between the ROM values becomes more striking, especially for the 3 mm PEEK rod. As the max stress measurements imply, 3, 3.4, 3.7 and 4 mm diameter PEEK rods are rational alternatives to posterior Ti rods of 4 mm diameter, which are used widely in spinal surgery. For instance, considering the axial rotation at the C5-6 level, a 3 mm diameter PEEK rod provides 0.959° of motion whereas the Ti rod provides 0.3408°, which verifies that it is almost three times more flexible. At the C4-5 level, the range of motion for axial rotation is almost four times as high for the PEEK rod than for the Ti rod (1.086° vs 0.2881°).
Another limitation is the simplification of the cervical model. The tissue material of different parts of the cervical spine obviously vary with age and gender. The material properties selected for the current model were derived from previous in vitro experiments and were widely referenced because our model was based on healthy men. However, as age increases, cervical geometry and ligament laxity will change. All these factors should be further studied to obtain accurate changes in the corresponding segments after surgery. The interaction of the instrument composed of lateral mass screws and Ti or PEEK rods and the spine tissue will alter depending on the age, bone mineral density and ligament properties and should be analysed in future studies.
Subsequent FE studies on dynamic cervical spinal systems are necessary for more physiologic surgical interventions. Following these studies, we need to perform cadaver and clinical studies in order to assess the long-term effects of posterior cervical PEEK rods.
In posterior stabilization, PEEK rods allow greater ROM for the cervical spine after laminectomy and stabilization, especially for axial rotation. This eventually protects the adjacent intact segment from degeneration, kyphosis or listhesis of the operated levels and other long-term subsequent fusions.
The ROM degrees of the alternative rods may seem to be close to each other in our measurements because this model is based on two levels of laminectomy. But even for two levels, there is a considerable difference between the two rods, especially when AR is considered. Maximum stress measurement results indicate that posterior cervical PEEK rods allow more ROM than the Ti rods, encouraging us to further study this concept. For more levels of laminectomy, particularly thinner PEEK rods should provide more physiological motion and more comfort for the patient in daily physiologic head motions and prevent long-term negative consequences of spinal fusions.
Footnotes
Conflict of interest
None to report.
