Biomechanical effects of offset placement of dental implants in the edentulous posterior mandible
© The Author(s). 2016
Received: 18 January 2016
Accepted: 13 June 2016
Published: 17 June 2016
Proper implant placement is very important for long-term implant stability. Recently, numerous biomechanical studies have been conducted to clarify the relationship between implant placement and peri-implant stress. The placement of multiple implants in the edentulous posterior mandible has been studied by geometric analysis, three-dimensional finite element analysis (FEA), model experimentation, etc. Offset placement is a technique that reduces peri-implant load. However, few studies have used multiple analyses to clarify the value of the offset placement under identical conditions.
The present study aimed to clarify the biomechanical effects of offset placement on the peri-implant bone in edentulous posterior mandibles by comparative investigation using FEA and model experimentation with strain gauges.
Three implants were embedded in an artificial mandible in the parts corresponding to the first premolar, the second premolar, and the first molar. A titanium superstructure was mounted to prepare models (experimental models). Three load points (buccal, central, and lingual) were established on the part of the superstructure corresponding to the first molar. Three types of experimental models, each with a different implant placement, were prepared. In one model, the implants were placed in a straight line; in the other two, the implants in the parts corresponding to the second premolar and the first molar were offset each by a 1-mm increment to the buccal or lingual side. Four strain gauges were applied to the peri-implant bone corresponding to the first molar.
The experimental models were imaged by micro-computed tomography (CT), and FEA models were constructed from the CT data. A vertical load of 100 N was applied on the three load points in the experimental models and in the FEA models. The extent of compressed displacement and the strain in the peri-implant bone were compared between the experimental models and the FEA models.
Both experimental and FEA models suffered the least compressed displacement during central loading in all placements. The greatest stress and compressive strain was on the load side in all types of placements.
Offset placement may not necessarily be more biomechanically effective than straight placement in edentulous posterior mandibles.
KeywordsOffset placement Three-dimensional finite element analysis FEA Amount of compressed displacement Stress distribution Strain gauge
Bone remodeling to maintain osseointegration between the bone and implant is absolutely essential to ensure favorable results and long-term stability in implant treatment [1, 2]. Bone remodeling requires that various stresses generated around the bone caused by the occlusal load applied to the implant be within an appropriate range. The concentration of stress at the bone-implant interface, caused by overloading, has been reported to result in bone resorption [3–5]. The stress generated in the implant will vary depending on the placement and the nature of the loading of the implants. Gunne et al.  stated that the allocation of the occlusal load was affected by the placement of the implant and the geometric form of the prosthetic device. When implants are being embedded, in contrast to the placement of three implants in a straight line, the term “offset placement” is used for a technique in which the central implant is shifted to the side. Rangert et al.  reported that in a patient missing three molars, straight placement of the three implants reduced the load to 67 % of that present when two implants were embedded to make a bridge configuration, while offset placement reduced the load to 33 %. However, they did not discuss the specific method they used to calculate the distribution of the load.
The usefulness of offset placement has been studied by geometric analysis, photoelasticity testing, strain gauging, finite element analysis (FEA), and several other techniques [8–19]. However, each type of analysis has its own disadvantages , and few studies have been carried out under ideal conditions. Therefore, it is necessary to evaluate the usefulness of offset placement objectively, by using multiple analyses, so as to eliminate the disadvantages of the individual analyses.
Hence, the purpose of the present study was to clarify the biomechanical effects, such as reduction in strain and displacement of implant, of offset placement on the peri-implant bone in edentulous posterior mandibles, by comparative investigation using FEA and model experimentation with strain gauges.
Fabrication of the experimental model
Artificial mandibular bone
Using the anatomical crown width diameter as a reference , we embedded three implants. The distance between the second premolar and mandibular first premolar implants was 8 mm. The distance between the first molar and second premolar implants was 10 mm.
Preparation of the superstructure
Application of strain gauges
Construction of three-dimensional FEA models
Mechanical properties of materials used in the FEA models
Young’s modulus (MPa)
Artificial cancellous bone
Artificial cortical bone
Implant and superstructure
Implant displacement measurements under loading conditions in the experimental model
Implant displacement measurements under loading conditions in the FEA models
Measurements of the three-dimensional displacement in the FEA models
We analyzed the three-dimensional displacements of the three implants when 100 N of vertical load was applied. The assessment sites were the neck and tip of the implant, and the displacements of the implants under loading were analyzed with respect to the buccolingual direction (x-axis), the mesiodistal direction (y-axis), and the inferior-superior direction (z-axis).
Measurement of strain
Measurement of strain in the experimental models
An Instron-type universal testing machine was used to run a compression test during which strain was measured simultaneously. The strain gauges and a laptop computer (Latitude E5500, Dell, Texas, USA) were connected to a sensor interface (PCD-300B, Kyowa Electronic Instruments, Tokyo, Japan), and the strain in the peri-implant bone during the application of a 100-N load was measured.
Measurement of strain in the FEA models
The places on the experimental models where the strain gauges were applied were represented as coordinate points on the FEA models, and the strain in the FEA models was calculated by dividing the change in length between before and after loading by the length of the strain gauges.
Assessment of the stress distribution in the FEA models
An equivalent stress occurring in the peri-implant bone during loading was observed and assessed in a buccolingual cross-section of the no. 36 implant. The stress distributions were compared between placements.
Compressed displacement and strain values were examined by two-way analysis of variance using differences in load site and placement as factors. The level of significance was set to 5 %. Subsequently, Tukey’s method was used to perform a multiple comparison test, and for this also, the level of significance was set to 5 %.
PASW Statistics Ver18 (SPSS, Tokyo, Japan) was used for statistical processing.
Means and standard deviations (SD) of displacement of the implants (μm) under loading in experimental models
54.60 ± 8.53
37.39 ± 5.53
40.22 ± 4.24
80.66 ± 7.47
52.92 ± 1.07
63.03 ± 3.69
53.11 ± 4.35
40.36 ± 3.18
48.22 ± 4.18
Means and standard deviations (SD) of displacement of the implants (μm) under loading in finite element analysis (FEA) models
72.24 ± 1.43
28.24 ± 1.86
28.02 ± 1.41
68.49 ± 5.24
31.43 ± 1.23
40.18 ± 1.29
49.63 ± 2.03
26.39 ± 0.37
38.44 ± 1.46
In all placements, the compressed displacement in the experimental models and FEA models was greatest with buccal loading and smallest with central loading at the three loading points. For both the experimental models and the FEA models, the compressed displacement during buccal loading with straight placement was significantly greater than that with the L-offset (P < 0.05). The compressed displacement during lingual loading with straight placement was significantly greater than that with the B-offset (P < 0.05).
Three-dimensional displacement in the FEA models
Strain on the peri-implant bone
Strain in the experimental models
Means and standard deviations (SD) of strain around the no. 36 implant (με) in the experimental models
−599.33 ± 595.46
−4507.35 ± 1192.62
1164.77 ± 169.94
−148.09 ± 174.19
−697.29 ± 651.92
−2526.69 ± 570.91
1272.93 ± 144.11
−1038.21 ± 151.61
−928.19 ± 779.29
−536.22 ± 431.65
1458.01 ± 281.15
−1997.40 ± 93.43
−0.64 ± 762.69
−2462.40 ± 2202.81
650.61 ± 926.87
7.84 ± 171.37
7.80 ± 597.37
−907.59 ± 1126.39
608.12 ± 804.44
−1131.15 ± 713.48
−46.63 ± 503.19
374.18 ± 85.59
535.71 ± 624.55
−2135.81 ± 1341.85
137.71 ± 198.50
−1116.87 ± 846.02
442.81 ± 620.37
−441.78 ± 735.38
157.83 ± 137.02
−494.15 ± 565.61
18.56 ± 645.98
−1236.11 ± 1290.83
171.26 ± 104.51
125.42 ± 283.74
−234.42 ± 662.75
−2085.35 ± 1804.50
Tukey’s test for strain B in the experimental models
Tukey’s test for strain L in the experimental models
Strain in the FEA models
Means and standard deviations (SD) of strain around the no. 36 implant (με) in the finite element analysis (FEA) models
−222.34 ± 158.56
−934.84 ± 76.82
252.11 ± 103.72
−336.26 ± 94.27
−477.17 ± 87.68
35.05 ± 102.98
−385.89 ± 240.13
−448.13 ± 78.51
−49.85 ± 139.33
−210.45 ± 206.82
−676.08 ± 383.54
−203.99 ± 99.82
−1717.66 ± 179.51
124.50 ± 30.18
−72.26 ± 86.36
−151.55 ± 110.05
−857.84 ± 83.22
21.12 ± 157.01
−447.40 ± 140.88
−94.09 ± 97.43
−95.19 ± 81.18
−47.47 ± 275.05
−817.47 ± 215.71
−397.70 ± 51.11
−1121.79 ± 453.39
−68.01 ± 87.44
−204.14 ± 14.05
−293.21 ± 56.29
−574.07 ± 261.34
−176.54 ± 16.66
−696.83 ± 87.11
−175.14 ± 171.13
−3.47 ± 51.47
−289.54 ± 78.95
−1248.16 ± 180.57
Tukey’s test for strain B in the FEA models
Tukey’s test for strain L in the FEA models
Stress distributions in the FEA models
Reported studies verifying the effects of offset placement include ones where implant bodies were embedded in rectangular experimental models [11–14], ones where rectangular bone models were constructed with FEA models [15, 16], and ones where FEA models were constructed from CT data on human mandibles [17, 18]. The artificial mandible models used in the present study were type II in the Lekholm and Zarb classification  and created using clinically valid estimates of bone quality, bone structure, and bone morphology. If the effects of implant placement alone are being verified, then models that are simple in form can be used. However, artificial mandibles were used in the present study in order to take into account the constraints on offset amounts due to anatomical morphology, the differences in stress distribution in the surrounding bone due to bone morphology, and other aspects of clinical practice.
Analysis was done with FEA models, in which the cancellous bone was simplified as being a homogeneous body. FEA models have been reported to be useful for verifying the behavior of implants when loaded , and so, the effects of different placements were verified with FEA models and compared with the results from the experimental models. In a previous study, Omori et al. compared the compressed displacement between experimental models and FEA models to verify the validity of the FEA models . They reported that the constraint conditions in the artificial mandible bottom and differences in the actual Young’s modulus were two reasons why the two models produced different absolute values for the compressed displacement. In order to apply the actual Young’s modulus to the FEA models in the present study, FEA models with a known Young’s modulus were created and the resulting values of compressed displacement were compared with the results from the experimental models; after the appropriate Young’s modulus was found, the FEA models were created again for further analysis. In previous studies verifying the usefulness of offset placement, one set of FEA models was created and analyzed by changing the conditions or settings. Few studies used different FEA models with the same placement models [15–17]. In the present study, we carried out the same experiments with both the models to verify the validity of each analysis.
Moreover, considering the possibility of error while using an implant placement guide, we created many FEA models for each placement to compare the accuracy between the same placement models used with different FEA models.
Use of multiple analyses
Most studies verifying the usefulness of offset placement used a single technique for analysis [8–19]. Therefore, the results regarding the usefulness of offset placement vary depending on the techniques used in the studies, and hence, the issue remains controversial. The present study aimed to evaluate the usefulness of offset placement objectively by using two analyses—experimental and FEA models—and to verify the validity of each analysis. The limitation with experimental models is that it is not possible to observe internal stress, while FEA models have the disadvantage that it is required to confirm the agreement of the results with those obtained from the oral cavity of the living body. In the present study, we believe that it was possible to evaluate the usefulness of offset placement objectively by using multiple analyses so that the disadvantage of each analysis was compensated for by the other.
Sites of strain measurement
There is reportedly a concentration of stress in the surrounding cortical bone when occlusal load is applied to an implant [22, 25, 26]. Based on this, the strain gauges were applied to the peri-implant bone surface in the present study as well.
Amount of compressed displacement
Three-dimensional displacement in the FEA models
Similar trends were observed in the direction and magnitude of displacement between placements. Buccal loading exhibited considerable motion towards the buccal rotation/tilting of the implant bodies, and lingual loading exhibited little motion towards lingual displacement. This corresponds to the fact that there was more compressed displacement during buccal loading than during lingual loading.
Strain on the peri-implant bone
In past reports where models were used, it was reported that compressive strain in the peri-implant bone occurs in sites close to the loading side and tensile strain occurs on the side opposite to the loading side [25, 28]. Concentration of stress leads to bone resorption [3–5]. In the experimental models in the present study as well, considerable compressive strain was observed in the loading-side peri-implant bone. Strain in the FEA models also exhibited considerable compressive strain on the loading side, similar to the experimental models. In terms of quantitative data for comparison with the experimental models, the length of the places where the strain gauges were applied was measured on the FEA models and the strain was calculated from the length before and after loading and compared with the experimental models. In previous verifications of offset placement with FEA models [15–18], the maximum stress that occurs in the peri-implant bone has been measured and compared with the observed stress distribution with straight placement. In the present study, we measured strain at the same sites in the experimental models and the FEA models, and therefore, we believe that it was possible to carry out a more multifaceted and objective assessment of the mechanical effects on the surrounding bone. The strain values for the experimental and FEA models showed similar trends with change in the loading site and placement of implants. However, the values of strain were different between the experimental and FEA models, the difference being greater than 10-fold at several sites. While comparing the experimental and FEA models, the difference in the accuracy of the cancellous bone and the difference in boundary conditions for the implant and the bone would affect the strain values. The cancellous bone in the experimental model was made of urethane resin foam that mimicked the trabecular structure. The cancellous bone of the FEA model, on the other hand, had a uniform structure, not a trabecular one. This seems to be the reason behind the difference in the strain values between the experimental and FEA models. While determining the boundary conditions between the implant and the artificial mandibular bone, immediate loading was assumed, but not osseointegration. The implant and artificial mandible in the FEA model were in complete contact. The coefficient of friction of the interface between the implants and artificial mandibular bones was set to zero. The boundary conditions of the experimental model were not bonded together, but they were completely fitted together mechanically. The difference in boundary conditions would affect the difference in strain values between the experimental and FEA models. Regarding how different placements affect strain, there was a trend for the strain to be greater when the loading site was at a greater distance from the load-supporting area (Fig. 15). In addition, there was not a significantly less strain site by offset placement. Anitua et al.  have reported that offset placement did not affect marginal bone loss around the implant in the oral cavity of the living body. Overloading of the peri-implant bone has been reported to result in bone resorption [3–5], and the concentration of considerable stress in the load-side peri-implant bone observed in our study confirms this. Hence, we conclude that our observation that offset placement did not reduce the stress around the peri-implant bone in both the experimental and FEA models is similar to that of the clinical report by Anitua et al. In addition, we also conclude that our results confirm the validity of both analyses. Thus, offset placement may not necessarily be more biomechanically effective than straight placement.
Concentration of stress in the loading-side peri-implant bone was observed in all placements and for both the experimental and the FEA models. Considerable stress was also found to be concentrated in the no. 36 peri-implant bone in buccal loading with buccal offset and lingual loading with lingual offset. Similar to the strain results, stress was observed in a large range under conditions where the loading site was far from the load-supporting area (Fig. 15).
Limitations of the study
This study does have a few limitations. The only items assessed in these experiments were the compressed displacement of the implant bodies and strain in the peri-implant bone. More specifically, the stress and strain applied to the implant bodies themselves, among other items, should be verified in order to verify the effects of offset placement. Moreover, the occlusal loading conditions and the jawbone models used in this study were different from those in the body, and hence, future studies addressing these limitations are needed.
Central loading resulted in the least compressed displacement in all placements in the experimental models as well as the FEA models.
In both the experimental models and the FEA models, compressive stress was observed to be concentrated in the loading-side peri-implant bone.
The strain and stress was significantly greater under conditions of offset placement where the loading site was far from the load-supporting area.
These results suggest that compared to straight placement, offset placement is not necessarily more biomechanically effective.
We are sincerely grateful for the assistance we received from the teaching staff of the Geriatric Dentistry course at Showa University Dental Hospital; Professor Takashi Miyazaki and the late Akihiro Fujishima of the Department of Conservative Dentistry, Division of Oral Biomaterials and Engineering; Professor Masanori Nakamura of the Department of Oral Anatomy and Developmental Biology; and Professor Masahiko Ozeki of the Department of Implant Dentistry. The present study was funded in part by a Grant-in-Aid for Scientific Research C (no. 25463016) by the Ministry of Education, Science, Sports and Culture. Part of this paper was presented at the 45th meeting of the Japanese Society of Oral Implantology (September 2015, Okayama).
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