Abstract
Introduction
Suture anchors are widely used for both arthroscopic and open rotator cuff repair, which can simplify the surgical techniques needed for tendon-to-bone suturing. Surgeons typically insert several anchors into the greater and/or the lesser tuberosities depending on the shape and the size of a tear. Although many types of anchors are currently available for clinical practice [1,2], failure of inserted anchors has been still recognized as one of the major pathomechanisms of postoperative re-tearing [3–5]. Once a complication such as this occurs, both the cuff tendon and any bony defects should be repaired during revision surgery [6]. Thus, it would be beneficial for surgeons to be able to precisely estimate the risk of anchor failure preoperatively.
Recent advancements in computer aided engineering provides for making estimates of a patient’s bone strength using CT data. Bessho et al. showed that bone strength estimated by a CT-based 3-dimensional finite element method (CT/3D-FEM) was well correlated with the results of mechanical testing. They also reported that the fracture pattern observed during mechanical testing could be successfully predicted using this method [7,8]. However, there have been no studies that applied a CT/3D-FEM to assess anchor failure after rotator cuff repair.
Thus, the aim of the present study was to determine the risk of anchor failure with use of a CT/3D-FEM. In particular, we compared the predicted failure load between patients who actually had the pullout of inserted anchor during surgery and those who did not.
Materials and methods
Patient selection
The protocol for this study was approved by our institutional review board. A signed consent form was obtained from all rotator cuff tear patients when they were scheduled for surgical repair in our institution. Preoperative CT scanning was performed using a bone mineral reference phantom (B-MAS200; Kyoto Kagaku Co, Ltd, Kyoto, Japan) in each patient. For this study, we included patients who had small to medium-sized full-thickness rotator cuff tears (<3 cm) in order to standardize the repair tension. Patients with a partial-thickness tear were also included if the diameter of a cuff defect after conversion to a full-thickness tear was <3 cm. Consequently, 20 shoulders of 20 patients (16 full-thickness tears and 4 bursal side partial-thickness tears) were eligible for the present study. These patients included 11 males and 9 females, whose mean age was 63 years (range: 52–75 years). The repair techniques used were single-row for 2 patients, double-row for 12 patients and transosseous equivalent for 6 patients.
Among them, patients who represented anchor failure during or immediately after the surgery and those who represented no anchor failures in the follow up X-ray as well as MRI were categorized as the failed anchor group and stable anchor group, respectively.
Clinical observations
In the present series, pullout of inserted anchor was confirmed in 4 patients arthroscopically while examining the integrity of the repair in the final step of surgery. Since all of these failures were confirmed during the surgery, immediate revision was performed by open transosseous repair technique. One patient demonstrated a partial back-out of the inserted anchor in the X-ray taken immediately after surgery. Since, however, neither the further progression of back-out nor the re-tearing of cuff tendon was seen in the follow-up study, this patient was treated conservatively. These 5 patients were categorized as the failed anchor group (4 females and 1 male; mean age: 67 years). A double-row technique was used in 4 (3 lateral-row and 1 medial-row anchor failures) and a single-row technique was used in 1. On the other hand, all inserted anchors were stable and remained in place in the postoperative X-ray as well as MRI in the other 15 patients (stable anchor group: 5 females and 10 males; mean age: 62 years).
Anchor insertion model development
In this study, we used finite element method (FEM) software, Mechanical Finder (version 6.1, Extended Edition; Research Center of Computational Mechanics, Inc., Tokyo, Japan). In each patient, CT data of the affected shoulder were saved in Digital Imaging and Communications in Medicine (DICOM) format, and then imported to a workstation to develop a 3D-FE model of the lateral part of the humeral head. Geometric data of a suture anchor (TWINFIX™, 5.0 mm; Smith and Nephew Endoscopy KK, Tokyo, Japan) were also imported to the workstation to create a virtual implant. Then, virtual TWINFIX™ anchors were inserted into the bone model at 6 different sites to develop 6 anchor insertion models for each patient. The sites of anchor insertion were the medial and lateral aspects of the superior facet, the medial and lateral aspects of the middle facet, and the anterolateral and posterolateral aspects of the greater tuberosity (Fig. 1). In each model, a virtual anchor was placed perpendicularly to the bony surface and inserted 3 mm below the level of the bony surface (Fig. 2). Next a cylindrical cutting tool (diameter: 3.0 mm) was also modeled and placed around the anchor eyelets to recreate an anchor insertion hole. The bony elements inside this tool were removed from the bony surface to the screw ridge of the inserted anchor [9].

A 3D-model of the lateral part of a humeral head (lateral view). The 6 circles indicate the insertion sites used for virtual anchors. The arrow shows the bicipital groove.

Insertion of a virtual anchor into a bone model (lateral view). A virtual TWINFIX™ anchor was placed above the greater tuberosity and tilted perpendicularly against the bony surface at the insertion site (arrow: bicipital groove).
Each model was divided into 0.2 to 1.0-mm tetrahedral solid elements. The Young’s modulus of a bone element was determined from Hounsfield unit values according to previous reports by Keller and Keyak et al. [10,11]. The Poisson’s ratio was determined to be 0.4. Triangular shell elements (thickness: 0.3 mm) were modeled on the outer surface of bone to reproduce the thin cortical shell to avoid underestimating the material properties of surface elements due to partial volume effects [7]. For each triangular shell element, the Young’s modulus was set so as to be equivalent to that of the adjacent tetrahedral solid element, while the minimum Young’s modulus of the shell element was set to 10 GPa based on previous reports [12,13].
The total numbers of solid elements and shell elements were approximately 500,000 and 50,000, respectively. Regarding the inserted TWINFIX™ anchors, the material was assumed to be a single-phase linear, elastic, isotropic titanium alloy with a Young’s modulus of 110.00 GPa and Poisson’s ratio of 0.28 [9].
A tensile load of 400 N was applied to the anchor eyelets in 80 incremental steps. The direction of the tensile load was set along the long axis of an inserted anchor to standardize the analysis condition. The distal part of the humeral head was completely constrained in all directions so as not to move throughout the analysis. Then, we made a non-linear analysis for fracture prediction to simulate the pullout of an inserted anchor.
Location of an element failure was determined based on the maximum principal stress failure theory according to a previous study [8]. A non-linear finite element (FE) analysis was made using the Newton–Raphson method in consideration of the large displacement. The ratio of ultimate element stress to yield stress was determined to be 0.8. We hypothesized that an element crack in tension would occur when the maximum principal stress exceeded the element ultimate stress. Yield in compression was defined as occurring when the von Mises equivalent stress exceeded the element yield stress. Element failure during compression was defined as occurring when the negative value of the maximum principal strain exceeded a microstrain of 10,000 [8]. In this study, we defined the failure load as a load at which a crack would occur in at least one shell element of bone [7,11]. Then, the mean failure load of all the 6 anchors was established for each patient.
Statistical analysis
Statistical analysis was done using Graph Pad Prism software (version 5.0a, Graph Pad Software, Inc., La Jolla, CA). Mean failure loads were compared between the failed anchor group and the stable anchor group and between males and females using Mann–Whitney U-tests. Post hoc power analysis was done using GPower software (version 3.1.5, Germany) to confirm the power of our analyses (
Results
The stress distribution patterns were nearly identical for all anchor insertion models. A high stress concentration was observed around an inserted anchor (Fig. 3(a), (b)). Element failure was observed around the eyelet of an inserted anchor (Fig. 4(a), (b)). The mean failure loads of the failed anchor group and the stable anchor group were 70.3 ± 25.6 N and 119.0 ± 28.3 N, respectively (Fig. 5); the failure load of those in the failed anchor group was significantly smaller than that in the stable anchor group (

Distribution of von Mises equivalent stress around an inserted anchor ((a) cranial view, (b) cutting surface in the coronal plane at the insertion site). A high stress concentration was observed around the inserted anchor, particularly from bony surface to subchondral area. (Colors are visible in the online version of the article;

Failed elements during an analysis ((a) cranial view, (b) cutting surface in the coronal plane at the insertion site). Element failures (white dots) occurred around the anchor eyelets (arrows).

Comparisons of mean failure loads between the 2 study groups. The mean failure load in the failed anchor group was significantly lower than that in the stable anchor group (

Comparisons of mean failure loads between genders. Females had a significantly lower mean failure load than males (

ROC curve of the mean failure load for predicting anchor pullout. The point at the left upper corner represents the optimum cut-off value of the mean failure load (75.4 N). At this point, the sensitivity and specificity were 80% and 100%, respectively.
An ROC analysis showed that the optimum cut-off value of the mean failure load was 75.4 N (sensitivity: 80%; specificity: 100%; Fig. 7).
Several factors can potentially contribute to successful cuff repair using suture anchors, such as local bone and tendon quality, anchor design and tear size [14]. Among these factors, we focused on the local bone quality of the greater tuberosity because rotator cuff tears are frequently seen in the middle-aged to elderly population who often suffer from osteopenia or osteoporosis [15–17]. To exclude the effects that could have been caused by other factors, we standardized the size of a tear (<3 cm) and the type of anchor used (TWINFIX™). Therefore, we believe that anchor pullout observed in the present series was mainly caused by local bone weakness around the greater tuberosity. This is the first study to show the clinical application of a CT/3D-FEM for assessing the risk of anchor failure during rotator cuff repair.
The incidence of pullout of inserted anchor in the present series (25%) was higher than that in a previous report by Benson and colleagues [3]. In their series, anchor pullout was observed in only 6 of 269 patients (2.4%). They concluded that there was a minimal risk of suture anchor pullout with small- to medium-sized tears [3]. However, they made a retrospective survey only using medical records and postoperative radiographs. Thus, the loosening or the pullout of inserted anchor might be overlooked if the patients had not presented with any symptoms. Moreover, the patients’ age and gender were quite different from ours. The average age was much younger (55 years) and there were 70% males in their study population, whereas in our study, 4 out of 5 patients (80%) in the failed anchor group were female with an average age of 67 years. This may have also affected the difference in anchor failure rate.
The relationship between bone mineral density (BMD) and the pullout strength of inserted anchors has been investigated in many studies [14,18–22]. Tingart et al. found a positive correlation between the load to failure of inserted anchors and BMD measured by quantitative computed tomography [21]. In a subsequent study they reported that there was a positive correlation between cortical BMD and the failure load for a metal anchor, whereas they found no correlation between trabecular BMD and the failure load [14]. Recently, Yackacki et al. reported that both BMD and the trabecular thickness reflected the pullout strength of inserted anchors [22]. However, because all these previous studies used human cadaver humeral bones, their results cannot be directly applied to individual patients seen in actual clinical practice. Moreover, recent studies using quantitative computed tomography showed that there was a location-dependent difference in BMD within the greater tuberosity even in the same patient [23,24]. To predict the risk of anchor pullout, these differences in pullout strength according to the location of the bone in each patient should be taken into consideration.
In comparison, with use of a CT/3D-FEM, a patient-specific analytic model can be developed that precisely reflects the local bone architecture in each patient. The Young’s modulus in each element of a patient’s bone was calculated based on its Hounsfield unit value, which was calibrated using a bone mineral reference phantom. Because the models developed in the present study reflected both the 3D-architecture and the local BMD, we assumed that CT/3D-FEM could provide reliable data for predicting the pullout risk of inserted anchors.
In the present study, our failed anchor group had a significantly lower mean anchor failure load than that of the stable anchor group. In other words, our results with CT/3D-FEM corresponded well with actual clinical observations. We concluded that anchor failure after rotator cuff repair might be predictable using CT/3D-FEM. Another interesting finding was that female patients had a lower mean failure load than that of male patients. It seemed that the local bone strength around the greater tuberosity in females might have been lower than that in males. These results were consistent with findings by Clavert et al. who described that female gender, age of >70 years, and stage 2 cuff retraction were factors associated with osteoporosis of the greater tuberosity [15]. Therefore, we assumed that female patients might have a higher risk of anchor pullout than male patients.
Our ROC analysis showed that the optimal cut-off value of the mean failure load was 75.4 N. Considering this result, it might be better that surgeons not use suture anchors if the predicted mean failure load is less than 75.4 N because there is a high risk of anchor pullout. However, it should be noted that the amount of failure load predicted by this method was not the actual pullout strength of the inserted anchor. This cut-off value should only be used for a risk assessment of anchor failure with 80% sensitivity and 100% specificity.
The results of the present study also showed the possibility of future clinical application of this method for the prediction of failure in other implants. If both the geometric data and the material properties of any implants are available, their risk of failure can be calculated using this method. Further studies would be necessary to determine the true roles of CT/3D-FEM in the prediction of implant failures.
Our study had several limitations. First, the relationship between the Hounsfield unit value and Young’s modulus was established in experiments that used human femurs [11]. Since there are no reported reference data for the human humerus, additional biomechanical testing studies using human humeral head might be needed to confirm the relationship between these two parameters in this bone. Second, the number of our patients was rather small because we only included those with cuff defect sizes of less than 3 cm to standardize the tension at the repair site. Repair tension might be higher in large or massive tears than that in small tears, which might increase the risk of pullout of inserted anchors. Third, we only used TWINFIX™ anchors for our analysis. A number of other types of anchors that are made of different materials and that have different designs are now available for clinical use. These other types of anchors might yield different results when using CT/3D-FEM. Forth, the direction of applied load was set along the long axis of inserted anchor both to simplify and to standardize the analysis conditions. This direction is known to show “a worst-case scenario” for the inserted anchors, in which the pullout strength was likely the lowest [25,26]. In the realistic condition, however, the direction of tensile load could be changed with the angle of anchor insertion as well as the arm position [9]. Further studies using other types of anchors with various loading conditions would be necessary to clarify the true roles of CT/3D-FEM in the assessment of the pull-out strength of inserted anchors.
In conclusion, TWINFIX™ anchor failure during rotator cuff repair could be predicted using CT/3D-FEM. In this method, there seems to be a high risk of failure in shoulders with a mean failure load of less than 75.4 N.
Footnotes
Acknowledgements
This study was supported by a research grant from ZENKYOREN (National Mutual Insurance Federation of Agricultural Cooperatives). The Stereolithography data for the TWINFIX™ anchors were supplied by Smith & Nephew Endoscopy KK (Tokyo, Japan) under a non-disclosure agreement.
