Effect of implant- and occlusal load location on stress distribution in Locator attachments of mandibular overdenture. A finite element study
Identifieur interne : 002F32 ( Pmc/Corpus ); précédent : 002F31; suivant : 002F33Effect of implant- and occlusal load location on stress distribution in Locator attachments of mandibular overdenture. A finite element study
Auteurs : Angel Alvarez-Arenal ; Ignacio Gonzalez-Gonzalez ; Hector Dellanos-Lanchares ; Elena Martin-Fernandez ; Aritza Brizuela-Velasco ; Joseba Ellacuria-EchebarriaSource :
- The Journal of Advanced Prosthodontics [ 2005-7806 ] ; 2017.
Abstract
The aim of this study is to evaluate and compare the stress distribution in Locator attachments in mandibular two-implant overdentures according to implant locations and different loading conditions.
Four three-dimensional finite element models were created, simulating two osseointegrated implants in the mandible to support two Locator attachments and an overdenture. The models simulated an overdenture with implants located in the position of the level of lateral incisors, canines, second premolars, and crossed implant. A 150 N vertical unilateral and bilateral load was applied at different locations and 40 N was also applied when combined with anterior load at the midline. Data for von Mises stresses in the abutment (matrix) of the attachment and the plastic insert (patrix) of the attachment were produced numerically, color-coded, and compared between the models for attachments and loading conditions.
Regardless of the load, the greatest stress values were recorded in the overdenture attachments with implants at lateral incisor locations. In all models and load conditions, the attachment abutment (matrix) withstood a much greater stress than the insert plastic (patrix). Regardless of the model, when a unilateral load was applied, the load side Locator attachments recorded a much higher stress compared to the contralateral side. However, with load bilateral posterior alone or combined at midline load, the stress distribution was more symmetrical. The stress is distributed primarily in the occlusal and lateral surface of the insert plastic patrix and threadless area of the abutment (matrix).
The overdenture model with lateral incisor level implants is the worst design in terms of biomechanical environment for the attachment components. The bilateral load in general favors a more uniform stress distribution in both attachments compared to a much greater stress registered with unilateral load in the load side attachments. Regardless of the implant positions and the occlusal load application site, the stress transferred to the insert plastic is much lower than that registered in the abutment.
Url:
DOI: 10.4047/jap.2017.9.5.371
PubMed: 29142645
PubMed Central: 5673614
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PMC:5673614Le document en format XML
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<author><name sortKey="Alvarez Arenal, Angel" sort="Alvarez Arenal, Angel" uniqKey="Alvarez Arenal A" first="Angel" last="Alvarez-Arenal">Angel Alvarez-Arenal</name>
<affiliation><nlm:aff id="A1">Department of Prosthodontics and Occlusion, School of Dentistry, University of Oviedo, Oviedo, Spain.</nlm:aff>
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<author><name sortKey="Gonzalez Gonzalez, Ignacio" sort="Gonzalez Gonzalez, Ignacio" uniqKey="Gonzalez Gonzalez I" first="Ignacio" last="Gonzalez-Gonzalez">Ignacio Gonzalez-Gonzalez</name>
<affiliation><nlm:aff id="A1">Department of Prosthodontics and Occlusion, School of Dentistry, University of Oviedo, Oviedo, Spain.</nlm:aff>
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<author><name sortKey="Dellanos Lanchares, Hector" sort="Dellanos Lanchares, Hector" uniqKey="Dellanos Lanchares H" first="Hector" last="Dellanos-Lanchares">Hector Dellanos-Lanchares</name>
<affiliation><nlm:aff id="A1">Department of Prosthodontics and Occlusion, School of Dentistry, University of Oviedo, Oviedo, Spain.</nlm:aff>
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<author><name sortKey="Martin Fernandez, Elena" sort="Martin Fernandez, Elena" uniqKey="Martin Fernandez E" first="Elena" last="Martin-Fernandez">Elena Martin-Fernandez</name>
<affiliation><nlm:aff id="A1">Department of Prosthodontics and Occlusion, School of Dentistry, University of Oviedo, Oviedo, Spain.</nlm:aff>
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<author><name sortKey="Brizuela Velasco, Aritza" sort="Brizuela Velasco, Aritza" uniqKey="Brizuela Velasco A" first="Aritza" last="Brizuela-Velasco">Aritza Brizuela-Velasco</name>
<affiliation><nlm:aff id="A2">Department of Oral Stomatology I. Faculty of Medicine and Dentistry, University of Basque Country, Bilbao, Spain.</nlm:aff>
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<author><name sortKey="Ellacuria Echebarria, Joseba" sort="Ellacuria Echebarria, Joseba" uniqKey="Ellacuria Echebarria J" first="Joseba" last="Ellacuria-Echebarria">Joseba Ellacuria-Echebarria</name>
<affiliation><nlm:aff id="A2">Department of Oral Stomatology I. Faculty of Medicine and Dentistry, University of Basque Country, Bilbao, Spain.</nlm:aff>
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<sourceDesc><biblStruct><analytic><title xml:lang="en" level="a" type="main">Effect of implant- and occlusal load location on stress distribution in Locator attachments of mandibular overdenture. A finite element study</title>
<author><name sortKey="Alvarez Arenal, Angel" sort="Alvarez Arenal, Angel" uniqKey="Alvarez Arenal A" first="Angel" last="Alvarez-Arenal">Angel Alvarez-Arenal</name>
<affiliation><nlm:aff id="A1">Department of Prosthodontics and Occlusion, School of Dentistry, University of Oviedo, Oviedo, Spain.</nlm:aff>
</affiliation>
</author>
<author><name sortKey="Gonzalez Gonzalez, Ignacio" sort="Gonzalez Gonzalez, Ignacio" uniqKey="Gonzalez Gonzalez I" first="Ignacio" last="Gonzalez-Gonzalez">Ignacio Gonzalez-Gonzalez</name>
<affiliation><nlm:aff id="A1">Department of Prosthodontics and Occlusion, School of Dentistry, University of Oviedo, Oviedo, Spain.</nlm:aff>
</affiliation>
</author>
<author><name sortKey="Dellanos Lanchares, Hector" sort="Dellanos Lanchares, Hector" uniqKey="Dellanos Lanchares H" first="Hector" last="Dellanos-Lanchares">Hector Dellanos-Lanchares</name>
<affiliation><nlm:aff id="A1">Department of Prosthodontics and Occlusion, School of Dentistry, University of Oviedo, Oviedo, Spain.</nlm:aff>
</affiliation>
</author>
<author><name sortKey="Martin Fernandez, Elena" sort="Martin Fernandez, Elena" uniqKey="Martin Fernandez E" first="Elena" last="Martin-Fernandez">Elena Martin-Fernandez</name>
<affiliation><nlm:aff id="A1">Department of Prosthodontics and Occlusion, School of Dentistry, University of Oviedo, Oviedo, Spain.</nlm:aff>
</affiliation>
</author>
<author><name sortKey="Brizuela Velasco, Aritza" sort="Brizuela Velasco, Aritza" uniqKey="Brizuela Velasco A" first="Aritza" last="Brizuela-Velasco">Aritza Brizuela-Velasco</name>
<affiliation><nlm:aff id="A2">Department of Oral Stomatology I. Faculty of Medicine and Dentistry, University of Basque Country, Bilbao, Spain.</nlm:aff>
</affiliation>
</author>
<author><name sortKey="Ellacuria Echebarria, Joseba" sort="Ellacuria Echebarria, Joseba" uniqKey="Ellacuria Echebarria J" first="Joseba" last="Ellacuria-Echebarria">Joseba Ellacuria-Echebarria</name>
<affiliation><nlm:aff id="A2">Department of Oral Stomatology I. Faculty of Medicine and Dentistry, University of Basque Country, Bilbao, Spain.</nlm:aff>
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<series><title level="j">The Journal of Advanced Prosthodontics</title>
<idno type="ISSN">2005-7806</idno>
<idno type="eISSN">2005-7814</idno>
<imprint><date when="2017">2017</date>
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<front><div type="abstract" xml:lang="en"><sec><title>PURPOSE</title>
<p>The aim of this study is to evaluate and compare the stress distribution in Locator attachments in mandibular two-implant overdentures according to implant locations and different loading conditions.</p>
</sec>
<sec><title>MATERIALS AND METHODS</title>
<p>Four three-dimensional finite element models were created, simulating two osseointegrated implants in the mandible to support two Locator attachments and an overdenture. The models simulated an overdenture with implants located in the position of the level of lateral incisors, canines, second premolars, and crossed implant. A 150 N vertical unilateral and bilateral load was applied at different locations and 40 N was also applied when combined with anterior load at the midline. Data for von Mises stresses in the abutment (matrix) of the attachment and the plastic insert (patrix) of the attachment were produced numerically, color-coded, and compared between the models for attachments and loading conditions.</p>
</sec>
<sec><title>RESULTS</title>
<p>Regardless of the load, the greatest stress values were recorded in the overdenture attachments with implants at lateral incisor locations. In all models and load conditions, the attachment abutment (matrix) withstood a much greater stress than the insert plastic (patrix). Regardless of the model, when a unilateral load was applied, the load side Locator attachments recorded a much higher stress compared to the contralateral side. However, with load bilateral posterior alone or combined at midline load, the stress distribution was more symmetrical. The stress is distributed primarily in the occlusal and lateral surface of the insert plastic patrix and threadless area of the abutment (matrix).</p>
</sec>
<sec><title>CONCLUSION</title>
<p>The overdenture model with lateral incisor level implants is the worst design in terms of biomechanical environment for the attachment components. The bilateral load in general favors a more uniform stress distribution in both attachments compared to a much greater stress registered with unilateral load in the load side attachments. Regardless of the implant positions and the occlusal load application site, the stress transferred to the insert plastic is much lower than that registered in the abutment.</p>
</sec>
</div>
</front>
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<pmc article-type="research-article"><pmc-dir>properties open_access</pmc-dir>
<front><journal-meta><journal-id journal-id-type="nlm-ta">J Adv Prosthodont</journal-id>
<journal-id journal-id-type="iso-abbrev">J Adv Prosthodont</journal-id>
<journal-id journal-id-type="publisher-id">JAP</journal-id>
<journal-title-group><journal-title>The Journal of Advanced Prosthodontics</journal-title>
</journal-title-group>
<issn pub-type="ppub">2005-7806</issn>
<issn pub-type="epub">2005-7814</issn>
<publisher><publisher-name>The Korean Academy of Prosthodontics</publisher-name>
</publisher>
</journal-meta>
<article-meta><article-id pub-id-type="pmid">29142645</article-id>
<article-id pub-id-type="pmc">5673614</article-id>
<article-id pub-id-type="doi">10.4047/jap.2017.9.5.371</article-id>
<article-categories><subj-group subj-group-type="heading"><subject>Original Article</subject>
</subj-group>
</article-categories>
<title-group><article-title>Effect of implant- and occlusal load location on stress distribution in Locator attachments of mandibular overdenture. A finite element study</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid" authenticated="true">https://orcid.org/0000-0003-2945-5992</contrib-id>
<name><surname>Alvarez-Arenal</surname>
<given-names>Angel</given-names>
</name>
<xref ref-type="aff" rid="A1">1</xref>
</contrib>
<contrib contrib-type="author"><name><surname>Gonzalez-Gonzalez</surname>
<given-names>Ignacio</given-names>
</name>
<xref ref-type="aff" rid="A1">1</xref>
</contrib>
<contrib contrib-type="author"><contrib-id contrib-id-type="orcid" authenticated="true">https://orcid.org/0000-0003-3711-7117</contrib-id>
<name><surname>deLlanos-Lanchares</surname>
<given-names>Hector</given-names>
</name>
<xref ref-type="aff" rid="A1">1</xref>
</contrib>
<contrib contrib-type="author"><name><surname>Martin-Fernandez</surname>
<given-names>Elena</given-names>
</name>
<xref ref-type="aff" rid="A1">1</xref>
</contrib>
<contrib contrib-type="author"><name><surname>Brizuela-Velasco</surname>
<given-names>Aritza</given-names>
</name>
<xref ref-type="aff" rid="A2">2</xref>
</contrib>
<contrib contrib-type="author"><name><surname>Ellacuria-Echebarria</surname>
<given-names>Joseba</given-names>
</name>
<xref ref-type="aff" rid="A2">2</xref>
</contrib>
</contrib-group>
<aff id="A1"><label>1</label>
Department of Prosthodontics and Occlusion, School of Dentistry, University of Oviedo, Oviedo, Spain.</aff>
<aff id="A2"><label>2</label>
Department of Oral Stomatology I. Faculty of Medicine and Dentistry, University of Basque Country, Bilbao, Spain.</aff>
<author-notes><corresp>Corresponding author: Angel Alvarez-Arenal. Department of Prosthodontics and Occlusion, School of Dentistry, University of Oviedo, C/. Catedratico Serrano s/n. 33006 Oviedo, Spain. Tel. +34985103626: <email>arenal@uniovi.es</email>
</corresp>
</author-notes>
<pub-date pub-type="ppub"><month>10</month>
<year>2017</year>
</pub-date>
<pub-date pub-type="epub"><day>16</day>
<month>10</month>
<year>2017</year>
</pub-date>
<volume>9</volume>
<issue>5</issue>
<fpage>371</fpage>
<lpage>380</lpage>
<history><date date-type="received"><day>24</day>
<month>1</month>
<year>2017</year>
</date>
<date date-type="rev-recd"><day>20</day>
<month>3</month>
<year>2017</year>
</date>
<date date-type="accepted"><day>29</day>
<month>5</month>
<year>2017</year>
</date>
</history>
<permissions><copyright-statement>© 2017 The Korean Academy of Prosthodontics</copyright-statement>
<copyright-year>2017</copyright-year>
<copyright-holder>The Korean Academy of Prosthodontics</copyright-holder>
<license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by-nc/3.0/"><license-p>This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (<ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by-nc/3.0">http://creativecommons.org/licenses/by-nc/3.0</ext-link>
) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.</license-p>
</license>
</permissions>
<abstract><sec><title>PURPOSE</title>
<p>The aim of this study is to evaluate and compare the stress distribution in Locator attachments in mandibular two-implant overdentures according to implant locations and different loading conditions.</p>
</sec>
<sec><title>MATERIALS AND METHODS</title>
<p>Four three-dimensional finite element models were created, simulating two osseointegrated implants in the mandible to support two Locator attachments and an overdenture. The models simulated an overdenture with implants located in the position of the level of lateral incisors, canines, second premolars, and crossed implant. A 150 N vertical unilateral and bilateral load was applied at different locations and 40 N was also applied when combined with anterior load at the midline. Data for von Mises stresses in the abutment (matrix) of the attachment and the plastic insert (patrix) of the attachment were produced numerically, color-coded, and compared between the models for attachments and loading conditions.</p>
</sec>
<sec><title>RESULTS</title>
<p>Regardless of the load, the greatest stress values were recorded in the overdenture attachments with implants at lateral incisor locations. In all models and load conditions, the attachment abutment (matrix) withstood a much greater stress than the insert plastic (patrix). Regardless of the model, when a unilateral load was applied, the load side Locator attachments recorded a much higher stress compared to the contralateral side. However, with load bilateral posterior alone or combined at midline load, the stress distribution was more symmetrical. The stress is distributed primarily in the occlusal and lateral surface of the insert plastic patrix and threadless area of the abutment (matrix).</p>
</sec>
<sec><title>CONCLUSION</title>
<p>The overdenture model with lateral incisor level implants is the worst design in terms of biomechanical environment for the attachment components. The bilateral load in general favors a more uniform stress distribution in both attachments compared to a much greater stress registered with unilateral load in the load side attachments. Regardless of the implant positions and the occlusal load application site, the stress transferred to the insert plastic is much lower than that registered in the abutment.</p>
</sec>
</abstract>
<kwd-group><kwd>Overdenture</kwd>
<kwd>Locator attachment</kwd>
<kwd>Stress</kwd>
<kwd>Occlusal load</kwd>
<kwd>Finite element analysis</kwd>
</kwd-group>
</article-meta>
</front>
<body><sec sec-type="intro"><title>INTRODUCTION</title>
<p>Prosthetic rehabilitation of a totally edentulous mandible with an overdenture retained by two or more implants is a highly predictable treatment, with the implant success and survival rates above 95.5%.<xref rid="B1" ref-type="bibr">1</xref>
<xref rid="B2" ref-type="bibr">2</xref>
Compared to a conventional full denture, this treatment also provides high levels of satisfaction, comfort, and quality of life to patients.<xref rid="B3" ref-type="bibr">3</xref>
<xref rid="B4" ref-type="bibr">4</xref>
<xref rid="B5" ref-type="bibr">5</xref>
<xref rid="B6" ref-type="bibr">6</xref>
</p>
<p>McGill's International consensus<xref rid="B7" ref-type="bibr">7</xref>
and York<xref rid="B8" ref-type="bibr">8</xref>
established that two interforaminal location implants are sufficient, and the minimum option, to retain an overdenture with good stability and masticatory function. Numerous and different clinical and laboratory studies show that the option of two implants placed at canine level is the most common design to retain a mandibular overdenture. However, another distribution of the implants is possible.<xref rid="B9" ref-type="bibr">9</xref>
<xref rid="B10" ref-type="bibr">10</xref>
Bone availability factors can oblige the clinician to place the implants next to the mandibular symphysis (at the lateral incisor level) or at the premolar level, where it is more likely that at least 1 mm more bone can be maintained at the buccal and lingual walls than at the canine level. It has been reported that the long-standing mandibular edentulous ridge undergoes accelerated bone loss especially at the labial side of canine areas, which significantly reduces the ridge width in canine areas.<xref rid="B11" ref-type="bibr">11</xref>
Likewise, biomechanical considerations related to the stress transferred to the peri-implant bone and the implant/attachment complex during movements of the overdenture may make it necessary to place the implants more distally, at premolar levels, or to combine one anterior implant and the other posterior contralaterally. Currently there is an insufficient scientific evidence available concerning the influence of any of these implant locations on the survival or complications of the overdenture Locator® attachment system. Nevertheless, the Locator attachment is only one of the numerous attachment systems used to retain implant-supported overdentures. However, all attachment systems including stud, ball, magnetic, and bar attachments provide higher levels of satisfaction, safety, masticatory efficiency, and quality of life to patients compared to the use of a conventional denture.<xref rid="B12" ref-type="bibr">12</xref>
<xref rid="B13" ref-type="bibr">13</xref>
<xref rid="B14" ref-type="bibr">14</xref>
In addition, numerous clinical and biomechanical studies have found differences when assessing and comparing the use of stud, ball, and bar attachments in terms of different parameters, including retention strength, resilience, progressive retention loss, and replacement/activation of attachment retention inserts and periimplant bone stress.<xref rid="B15" ref-type="bibr">15</xref>
<xref rid="B16" ref-type="bibr">16</xref>
<xref rid="B17" ref-type="bibr">17</xref>
<xref rid="B18" ref-type="bibr">18</xref>
<xref rid="B19" ref-type="bibr">19</xref>
<xref rid="B20" ref-type="bibr">20</xref>
<xref rid="B21" ref-type="bibr">21</xref>
<xref rid="B22" ref-type="bibr">22</xref>
<xref rid="B23" ref-type="bibr">23</xref>
Meanwhile, although the degree of patient satisfaction does not seem to depend on the attachment retention system of the overdenture,<xref rid="B13" ref-type="bibr">13</xref>
<xref rid="B24" ref-type="bibr">24</xref>
<xref rid="B25" ref-type="bibr">25</xref>
Locator® attachment is a stud, self-aligning attachment system, widely used for its simplicity of use, variable retention capacity, resilient retention, and compensation of implant disparallelism. However, like other attachments, it is not free from mechanical complications associated with the loosening/fracturing of the screw and premature change of the insert plastic patrix due to retention loss.<xref rid="B15" ref-type="bibr">15</xref>
<xref rid="B17" ref-type="bibr">17</xref>
<xref rid="B26" ref-type="bibr">26</xref>
<xref rid="B27" ref-type="bibr">27</xref>
Even so, very few data are available regarding the concentration/distribution of stress/strain in the patrix/matrix of these attachments and even fewer referring to the influence of different implant/attachment locations and of the occlusal loading application site.<xref rid="B16" ref-type="bibr">16</xref>
<xref rid="B28" ref-type="bibr">28</xref>
</p>
<p>During functional masticatory activities and clenching and grinding parafunctions, complex occlusal forces of different intensity, location, and direction occur. These forces are transmitted to the overdenture, implant/attachment system and peri-implant bone. The stress/strain resulting from the occlusal load has been extensively evaluated in implants and peri-implant bone but not in the Locator attachment components. With two implants placed at lateral incisor level and unilateral posterior load, lower stress is reported in Locator attachments compared to the ball system<xref rid="B16" ref-type="bibr">16</xref>
and higher stress in the vestibular area at the abutment/nylon interface with anterior vertical load in a model with two interforaminal implants compared to 3 or more implants.<xref rid="B28" ref-type="bibr">28</xref>
</p>
<p>Also, although under discussion, bilateral balanced occlusion criteria are often the occlusal scheme recommended for an overdenture.<xref rid="B29" ref-type="bibr">29</xref>
<xref rid="B30" ref-type="bibr">30</xref>
<xref rid="B31" ref-type="bibr">31</xref>
However, empirical clinical practice shows that this is not always the case, with a large number of dentists completing an overdenture treatment with other criteria or with a random occlusal contact distribution. Such a decision can change the distribution/concentration of stress/strain in the patrix/matrix attachment and plastic component of the Locator attachment, leading the attachment complications and retention loss, thus increasing the frequency of replacement. Although higher retention loss is reported with different attachment types<xref rid="B19" ref-type="bibr">19</xref>
and non-axial load,<xref rid="B32" ref-type="bibr">32</xref>
<xref rid="B33" ref-type="bibr">33</xref>
the available information on the effect that the application site and occlusal load distribution relative to the different location of the two implants may have on the plastic component wear or on the attachment complications for higher stress is not conclusive. More data are needed to enable practitioners to know which is the implant and occlusal loading location that favors the best biomechanical environment and thus make appropriate decisions. In accordance with this, the aim of this study is to evaluate the effect of four different locations of the two implants of a mandibular implant-supported overdenture on the distribution stress in the Locator attachment system using the finite element method, to evaluate the stress transferred to the Locator attachments during occlusal loading at different application sites, and to give dentists a comparative insight into the influence of these factors.</p>
</sec>
<sec sec-type="materials|methods"><title>MATERIALS AND METHODS</title>
<p>Three-dimensional finite element models were created to evaluate the stress distribution in the Locator attachment system for a mandibular overdenture retained by two implants. An arch structure was modeled to simulate the symphysis and body of an entirely edentulous mandible with the following dimensions: 60 mm mandibular body length from the middle line, 20 mm inferosuperior height, and 12 mm bucco-lingual width. The dimensions of the employed arch are similar to those of a real mandible since they are the average of the measurements of three jaws from the Department of Anatomy of the Faculty of Medicine of Oviedo. Therefore, the positions of dental implants and other elements correspond to those in a real mandible. Bone quality type 2 was assumed in the symphysis and type 3 in the mandibular body according to the Lekholm and Zarb classification<xref rid="B34" ref-type="bibr">34</xref>
and 2 mm thick cortical bone surrounding the cancellous bone. In addition, a threaded implant was modeled by using as a reference the geometry of a Stark D Active (Sweden&Martina, Due Carrere, Italy) internal connection implant, 4.2 mm body diameter and 10 mm length. Furthermore, a self-aligning attachment brand Locator (Zest Anchor Inc., Escondido, CA, USA) was modeled with abutment (matrix) of 4 mm gingival height and metallic cap with nylon insert (patrix). The abutment was screwed to the implant, and the patrix was attached to the overdenture.</p>
<p>The overdenture was a superstructure made of acrylic resin, 10.7 mm high and similar in shape, width, and length to the jaw bone. Four different finite element models were created. The model named “Implants at Laterals” simulated an overdenture retained by two implants placed at lateral incisor level and with a center-to-center separation of 15 mm. In the “Implants at Canines” model, the centers of the two implants were separated by 27 mm. In the “Implants at 2nd premolars” model, the distance between centers was 53 mm (26.5 mm from the mandibular midline). In the “Crossed Implants” model, one implant was placed on the left side, 13.5 mm from the midline (canine level), and the other in the contralateral arcade, 26.5 mm from the midline (2nd premolar level). The distances between implants were calculated according to the mesio-distal length of natural tooth crowns due to the great variability in the situation of two implants for a mandibular overdenture recorded in the literature. In follow-up studies, the majority of the implants were placed interforaminally.<xref rid="B35" ref-type="bibr">35</xref>
Biomechanical studies place implants at the level of laterals, 7 – 8 mm from the mid-line<xref rid="B16" ref-type="bibr">16</xref>
<xref rid="B36" ref-type="bibr">36</xref>
or 13 mm intercenter<xref rid="B9" ref-type="bibr">9</xref>
; however, the majority situates them at the canine level, separated by a range of 20 – 28 mm<xref rid="B9" ref-type="bibr">9</xref>
<xref rid="B28" ref-type="bibr">28</xref>
<xref rid="B37" ref-type="bibr">37</xref>
while at the premolar level, the distance was 42 mm.<xref rid="B9" ref-type="bibr">9</xref>
</p>
<p>The jaw bone and all the materials used in these models were considered to be linearly elastic, homogeneous, and isotropic. Values for elastic moduli and the Poisson ratio of the bone and different materials were taken from published data,<xref rid="B9" ref-type="bibr">9</xref>
<xref rid="B22" ref-type="bibr">22</xref>
<xref rid="B38" ref-type="bibr">38</xref>
<xref ref-type="table" rid="T1">Table 1</xref>
. A continuous bone-implant interface, flawless and with 100% oseointegration, is assumed. All other interfaces between the rest of the different materials and structures were also assumed to be continuous (abutment-implant, abutment-patrix, and patrix-overdenture). Moreover, a passive fit without friction was assumed between the overdenture and the jaw bone without gingival mucosa interface.</p>
<p>In the four models, a vertical occlusal bilateral or unilateral static load of 150 N was applied under six different loading conditions. The unilateral single load (150 N) was applied at midline, left canine level, and 1st left molar (10 mm from the distal implant) and combined at midline (40 N) and 1st molar level (150 N). The bilateral load was applied at the level of the 1st molars (75 N on each side) and also combined with 40 N at midline. In the dental literature, a wide range of variability in the magnitude of occlusal loading is reported. This variability also occurs in finite element studies, where loads are reported in a range from 15 N<xref rid="B39" ref-type="bibr">39</xref>
to 250 N<xref rid="B40" ref-type="bibr">40</xref>
, but more frequently 100 N<xref rid="B9" ref-type="bibr">9</xref>
<xref rid="B16" ref-type="bibr">16</xref>
<xref rid="B17" ref-type="bibr">17</xref>
<xref rid="B25" ref-type="bibr">25</xref>
, and in others 150 N.<xref rid="B41" ref-type="bibr">41</xref>
<xref rid="B42" ref-type="bibr">42</xref>
<xref rid="B43" ref-type="bibr">43</xref>
The data for von Mises stresses were produced numerically and the stresses in the finite element analysis were color-coded to allow for the comparison of the biomechanical differences between models.</p>
<p>All elements were modeled with Pro/Engineer Wildfire (Parametric Technology Corp., Needham, MA, USA) software computer aided design. The finite element models were created and meshed using Ansys 11.0, a commercial 3D finite element software (Ansys Inc., Canonsburg, PA, USA). In order to generate the meshes, the following four different kinds of element were employed: 3-D 10-Node Tetrahedral Structural Solid, 3-D 20-Node Structural Solid, 3-D 8-Node Surface-to-Surface Contact, and 3D Target Segment. As a result, the smallest model had 844,000 nodes and 97,003 elements while the largest model had 964,132 nodes and 108,802 elements.</p>
</sec>
<sec sec-type="results"><title>RESULTS</title>
<p><xref ref-type="table" rid="T2">Table 2</xref>
shows the von Mises stress in the Locator attachments (abutment and patrix insert plastic) for each model and occlusal load application point. In all models, when unilateral load was applied, the highest stress values were recorded on the load side attachment with some exceptions. The attachment abutment (matrix) shows a level of stress about ten times greater than that registered at the plastic element (patrix), regardless of the load side and model. The worst biomechanical environment for attachments occurs in the lateral incisor level implants model especially with unilateral posterior load, midline load, or both combined. The crossed-implant model is the next worst in terms of biomechanical environment especially when a unilateral load is applied on the left side. However, in this model, the right side unilateral load (on the side of the more distal implant) shows a better biomechanical behavior in the attachments compared to the load applied on the left side.</p>
<p>In no model does the application of bilateral posterior load, combined or not with midline load, change the trend of much greater stress on the attachment abutment (matrix) compared to the insert plastic patrix. However, some models register a symmetrical stress distribution on both sides while in the other models, the stress distribution is not symmetrical. Overall, with a bilateral load, the best attachment biomechanical environment occurs in the 2nd premolar level implant model.</p>
<p>With minor variations in all models and regardless of the occlusal load location, the attachment abutment (matrix) stress is located and distributed mainly in the threadless area, dissipating laterally and toward the conical connection and first threads. In the insert plastic patrix, the stress is located in all models and load situations in the most coronal surface and the lateral areas near the free edge (<xref ref-type="fig" rid="F1">Fig. 1</xref>
and <xref ref-type="fig" rid="F2">Fig. 2</xref>
).</p>
</sec>
<sec sec-type="discussion"><title>DISCUSSION</title>
<p>Using 3D-Finite Element Analysis, this study evaluates the stress distribution in the Locator attachment components in mandibular overdentures retained by two implants at different locations subjected to unilateral or bilateral occlusal loads applied at different points. Even though the Locator attachment system is a very common prosthetic restoration design in routine clinical practice, very few studies in dental literature report stress levels and distribution in it, in contrast to the numerous studies evaluating the peri-implant bone stress. The combined effect of occlusal load and implants at different locations in the Locator attachments is not assessed or compared in any study. The only thing reported is lower stress in the attachment abutment (matrix) in canine location implants and with posterior unilateral load compared to anterior.<xref rid="B28" ref-type="bibr">28</xref>
This result disagrees with the data from this study, which, for a similar model and unilateral load, showed lower stress values in the patrix and matrix as the load application site became more mesial. This result can be explained by differences in the lever arm length of the applied load and increased bending moments coupled to the overdenture rotation movement as is noted in overdentures with 3 or 4 implants.<xref rid="B28" ref-type="bibr">28</xref>
However, there is an agreement regarding the stress location on the vestibular surface of the abutment/plastic patrix interface<xref rid="B28" ref-type="bibr">28</xref>
and on the occlusal plastic patrix surface with lateral incisor location implants.<xref rid="B16" ref-type="bibr">16</xref>
This finding shows that the locations mentioned may be those with greatest insert plastic patrix wear, favoring retention loss and the need for periodic replacement of this insert plastic. In the present study, this complication can occur in any of the four models, since the stress location in the plastic patrix is a constant, being independent of the model and occlusal load location. However, although better clinical results with no complications have been reported in locator attachments in 2-implant overdentures after 11 months compared to ball and bar attachments,<xref rid="B15" ref-type="bibr">15</xref>
in other studies<xref rid="B19" ref-type="bibr">19</xref>
the change of the plastic insert due to retention loss was the most frequent prosthetic complication of the locator attachments compared to Dal-Ro® and O'Ring® ball ones. Likewise, it should be noted that the wear of and damage to the locator attachment depend not only on the loading but also on the positioning conditions of the implants. Other factors may exert an influence such as type and direction of dislodgement force, the ridge anatomy, implant angulation, thickness of the mucosa, frequency of insertion, and removal of the overdenture by the patients. Hence the influence on the retention locator attachment has been recorded <italic>in vitro</italic>
with various types of nylon inserts, as has the influence of repeated denture insertions and removal and the lowest retention with lateral dislodging force<xref rid="B18" ref-type="bibr">18</xref>
<xref rid="B33" ref-type="bibr">33</xref>
<xref rid="B44" ref-type="bibr">44</xref>
and also the negative influence of implant angulation on the retencion force of the locator attachment system,<xref rid="B21" ref-type="bibr">21</xref>
<xref rid="B45" ref-type="bibr">45</xref>
<xref rid="B46" ref-type="bibr">46</xref>
independently of the blue, pink or clear plastic insert used.<xref rid="B47" ref-type="bibr">47</xref>
</p>
<p>It has also been found that the periimplant bone response to a unilateral occlusal load with much higher stress values on the load side compared to the contralateral side, as related in several articles,<xref rid="B9" ref-type="bibr">9</xref>
<xref rid="B16" ref-type="bibr">16</xref>
<xref rid="B22" ref-type="bibr">22</xref>
<xref rid="B28" ref-type="bibr">28</xref>
<xref rid="B43" ref-type="bibr">43</xref>
<xref rid="B48" ref-type="bibr">48</xref>
<xref rid="B49" ref-type="bibr">49</xref>
the data obtained show that the attachment stress both in the abutment and plastic patrix behaves similarly regardless of the overdenture implant location. A unilateral occlusal load rotates the denture base around a sagittal axis of variable location and moves it toward the unilateral load side, thereby increasing the stress and strain in the complex attachment, implant, or bone. There is a lack of studies to compare this effect in the locator attachment components, but the influence of the insert male type with a non-increase of peri-implant bone strain distal to an inclined implant when red nylon inserts were used has been reported with regard to peri-implant bone with uni or bilateral load.<xref rid="B49" ref-type="bibr">49</xref>
In this context, for each model and for each load application site, this study data shows a substantially lower peri-implant bone stress (unpublished data) compared to the stress supported by the plastic insert and the abutment. The abutment and the nylon insert would act as a resilient damper system, favoring the transmission of less stress to the peri-implant bone and thus preventing the loss of crestal bone around the implants. Since this effect in different finite element and extensiometric studies is related to the mechanical properties of the patrix/matrix materials,<xref rid="B22" ref-type="bibr">22</xref>
<xref rid="B37" ref-type="bibr">37</xref>
<xref rid="B44" ref-type="bibr">44</xref>
<xref rid="B50" ref-type="bibr">50</xref>
<xref rid="B51" ref-type="bibr">51</xref>
differences are reported depending on the ball attachment type, plastic type, and applied load.<xref rid="B37" ref-type="bibr">37</xref>
<xref rid="B49" ref-type="bibr">49</xref>
<xref rid="B50" ref-type="bibr">50</xref>
It has also been reported that an increase in stiffness of the plastic insert in a stud attachment led to an increase of the periimplant bone stress<xref rid="B22" ref-type="bibr">22</xref>
<xref rid="B51" ref-type="bibr">51</xref>
while in a previous study comparing rigid and resilient ball attachments, the highest periimplant stress was recorded with the resilient ones.<xref rid="B41" ref-type="bibr">41</xref>
</p>
<p>Likewise, the practical clinical consequence of the highest stress in the patrix and matrix of the attachments on the ipsilateral side with unilateral load would be increased wear and frequency of replacement of the plastic patrix, a higher frequency of deformation, or fracturing of the abutment (matrix). This may occur when the dentist completes a patient's treatment with a mandibular overdenture with an inadequate occlusal adjustment with an occlusal load predominantly on one side. These complications are most likely to occur with implants located at lateral incisor level with unilateral posterior load of all the possible locations for the two implants in the jaw.</p>
<p>The situation of diagonal or crossed implants for a two-implant overdenture is not very frequent in clinical practice although it is a reported option for conventional and implant-supported overdentures.<xref rid="B52" ref-type="bibr">52</xref>
<xref rid="B53" ref-type="bibr">53</xref>
With this position of the implants/attachments, the denture base has an anterior retention/support and another posterior retention/support in addition to a wide and oblique rotation axis of anteroposterior direction. Thus, for any load application site in the denture base, shorter lever arms are set in comparison with two attachments at the canine level, which are also countered either by the anterior or posterior anchorage. All this could favor prosthesis stability, achieving a better biomechanical environment and providing greater patient comfort and safety than an overdenture with 2-implants in the anterior region. Confirmation is required with clinical studies. In any case, in the crossed-implants case, the lowest probability of attachment complications occurs with a unilateral load applied on the side of the most distal implant. In addition, data from this study suggest that occlusal adjustment achieving posterior bilateral contacts or combined with mid-line contacts with some exceptions favors the non-appearance of these complications especially when implants are placed at second premolar level or in the crossed implants model. In any case, the stress magnitude recorded in the attachments of this study shows that abutment (matrix) complications could occur if the stress values exceed the 860 MPa yield strength estimated for the most widely used titanium alloy in dentistry (Ti-6Al-4V) or 600 MPa fatigue limit.<xref rid="B54" ref-type="bibr">54</xref>
However, although the stress in all models is located and distributed mainly in the abutment threadless area and, in some models, is higher than 860 MPa, which could deform or break the abutment the spread of stress to weaker abutment areas such as the cone and threads makes it more likely that the attachment will loosen or fracture. This complication is observed in clinical practice and reported with variable frequency in reviews and clinical studies.<xref rid="B15" ref-type="bibr">15</xref>
<xref rid="B17" ref-type="bibr">17</xref>
<xref rid="B26" ref-type="bibr">26</xref>
<xref rid="B27" ref-type="bibr">27</xref>
In this study, in agreement with stress distribution in the attachment thread, this complication is most likely to occur in contralateral attachments with unilateral load mainly at canine level. These data suggest avoiding unilateral contacts and/or lateral guidance in the occlusal adjustment of mandibular overdentures retained by two implants.</p>
<p>Future biomechanical studies should be carried out to replicate, or not, these results. However, it would be more advisable to carry out longitudinal clinical studies (prospective or retrospective) with a suitable design to evaluate the association of the implant situation and the application load site with the complications in the Locator attachments and in the bone around the implants and also to compare this with other attachment systems to allow clinicians to choose the most appropriate one.</p>
<p>Finite element analysis is a widely employed method in dentistry to estimate the stress/strain distribution in the peri-implant bone, prostheses, and prosthetic components in many diverse situations. However, with a mathematical and computational model, it isn't possible to model and simulate all prosthetic restoration, ground support, masticatory function, and oral environment design features and responses. Therefore, it is necessary to assume a number of simplifications related to material properties, geometry, interface, and load and contour conditions, which sometimes limit the data to not correspond exactly to the clinical results. For this reason, clinical studies are always necessary to validate the results of a finite element analysis.</p>
<p>So when this method is used, a qualitative comparison between models and variables is recommended rather than a quantitative one. Material properties and structure geometries have a great influence on the stress/strain distribution, but as in other similar studies,<xref rid="B9" ref-type="bibr">9</xref>
<xref rid="B16" ref-type="bibr">16</xref>
<xref rid="B28" ref-type="bibr">28</xref>
it was assumed that all materials were homogeneous and linearly isotropic. It was also assumed that the interfaces between different materials and structures were continuous with a passive fit without any friction; in clinical reality, these assumptions are not always true, being a possible limitation.</p>
<p>A curved overdenture of uniform height and thickness was modeled as a jaw of similar uniform morphology but different dimensions without gingival mucosa interface, condylar anchorage, or other restrictions on movement. Although these factors can be the limitations, they will not influence the attachment stress distribution because these structures remained constant for all models and loading. In any case, the main dimensions of the arch are similar to a real mandible and therefore, the position of dental implants and other elements correspond to the ones they would have in a real mandible. The simplified model allows a quicker computation of all calculations required for the finite element models. The real model does not add any important information but only implies greater model complexity. In accordance with Liu,<xref rid="B28" ref-type="bibr">28</xref>
the nylon (polyamide) was a plastic insert of the matrix; PMMA (polymethylmethacrylate) was used in another study.<xref rid="B16" ref-type="bibr">16</xref>
Although the elastic properties are not very different, the differences in stiffness between the two materials may influence the attachment/implant/bone system stress distribution. Several studies show the influence of an insert plastic patrix of varying degrees of stiffness on the stress transfer to the attachment/implant/bone system or residual ridge.<xref rid="B22" ref-type="bibr">22</xref>
<xref rid="B36" ref-type="bibr">36</xref>
<xref rid="B37" ref-type="bibr">37</xref>
<xref rid="B44" ref-type="bibr">44</xref>
This may be a limitation or should be taken into consideration. During chewing, complex force patterns of variable magnitude and direction take place from one area of the mouth to another and between subjects, which are impossible to mathematically reproduce and simulate. In this study, a 150 N vertical force is applied, which is considered an occusal load very close to masticatory forces and in agreement with other overdenture finite element analysis studies.<xref rid="B41" ref-type="bibr">41</xref>
<xref rid="B42" ref-type="bibr">42</xref>
<xref rid="B43" ref-type="bibr">43</xref>
Also, since contacts between all teeth are established during mastication and an overdenture could combine straight and angled implants or abutments, a solely vertical load design of unilateral or bilateral posterior location may be a limitation that the clinician should consider when comparing and discussing the clinical implications of a finite element analysis. Although unilateral and bilateral occlusal load combinations are cited in some studies,<xref rid="B9" ref-type="bibr">9</xref>
<xref rid="B16" ref-type="bibr">16</xref>
<xref rid="B23" ref-type="bibr">23</xref>
<xref rid="B28" ref-type="bibr">28</xref>
<xref rid="B55" ref-type="bibr">55</xref>
the dental literature concerning overdenture and finite element analysis reports a great variability in the direction, application site, and magnitude of occlusal loads, which per se is a limitation for the comparison of results; it is therefore necessary to standardize these factors.</p>
</sec>
<sec sec-type="conclusions"><title>CONCLUSION</title>
<p>In accordance with the results and within the limitations of a finite element analysis, this study indicated that the overdenture model with lateral incisor level implants is the worst design in terms of biomechanical environment for the attachment components. With some exceptions, bilateral load favors a more uniform stress distribution in both attachments compared to much greater stress registered with unilateral load in the load side attachments. Regardless of the implant positions and the occlusal load application site, the stress transferred to the plastic patrix is much lower than that registered in the patrix. Dentists should take these data into consideration in the overdenture occlusal adjustment.</p>
</sec>
</body>
<back><ack><title>ACKNOWLEDGEMENTS</title>
<p>The authors wish to thank Sweden & Martina and Nisa-Tet SL, who provided the materials used in the modeling and Dr. Eng. Fernando Sanchez-Lasheras, who provided the computer-aided design data for the finite element analysis.</p>
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<floats-group><fig id="F1" orientation="portrait" position="float"><label>Fig. 1</label>
<caption><title>Distribution and location of stress on the abutment and patrix plastic attachment component in the canine level implant model. Above: with unilateral posterior load. Middle: with unilateral midline load. Below: with unilateral canine load. Left half: right side. Right half: left side.</title>
</caption>
<graphic xlink:href="jap-9-371-g001"></graphic>
</fig>
<fig id="F2" orientation="portrait" position="float"><label>Fig. 2</label>
<caption><title>Distribution and location of stress on the abutment and patrix plastic attachment component in the canine level implant model. Above: posterior and midline unilateral combined load. Middle: bilateral posterior load. Below: posterior and midline bilateral combined load. Left half: right side. Right half: left side.</title>
</caption>
<graphic xlink:href="jap-9-371-g002"></graphic>
</fig>
<table-wrap id="T1" orientation="portrait" position="float"><label>Table 1</label>
<caption><title>Mechanical properties of modeled materials and structures</title>
</caption>
<alternatives><graphic xlink:href="jap-9-371-i001"></graphic>
<table frame="hsides" rules="rows"><col width="20%" span="1"></col>
<col width="20%" span="1"></col>
<col width="20%" span="1"></col>
<col width="20%" span="1"></col>
<col width="20%" span="1"></col>
<thead><tr><th valign="top" align="center" rowspan="1" colspan="1">Material</th>
<th valign="top" align="center" rowspan="1" colspan="1">Structure</th>
<th valign="top" align="center" rowspan="1" colspan="1">Young's modulus (GPa)</th>
<th valign="top" align="center" rowspan="1" colspan="1">Poisson Ratio</th>
<th valign="top" align="center" rowspan="1" colspan="1">References</th>
</tr>
</thead>
<tbody><tr><td valign="middle" align="center" rowspan="1" colspan="1">Titanium<break></break>
Ti6Al4V</td>
<td valign="middle" align="center" rowspan="1" colspan="1">Implant</td>
<td valign="middle" align="right" rowspan="1" colspan="1">135.00</td>
<td valign="middle" align="right" rowspan="1" colspan="1">0.30</td>
<td valign="middle" align="center" rowspan="2" colspan="1">Daas et al. <xref rid="B22" ref-type="bibr">22</xref>
</td>
</tr>
<tr><td valign="middle" align="center" rowspan="1" colspan="1">Titanium<break></break>
Grade 4</td>
<td valign="middle" align="center" rowspan="1" colspan="1">Abutment (matrix) and metallic cap attachment</td>
<td valign="middle" align="right" rowspan="1" colspan="1">114.00</td>
<td valign="middle" align="right" rowspan="1" colspan="1">0.30</td>
</tr>
<tr><td valign="middle" align="center" rowspan="1" colspan="1">Acrylic resin</td>
<td valign="middle" align="center" rowspan="1" colspan="1">Overdenture</td>
<td valign="middle" align="right" rowspan="1" colspan="1">2.94</td>
<td valign="middle" align="right" rowspan="1" colspan="1">0.30</td>
<td valign="middle" align="center" rowspan="1" colspan="1">Geng et al. <xref rid="B38" ref-type="bibr">38</xref>
</td>
</tr>
<tr><td valign="middle" align="center" rowspan="1" colspan="1">Nylon</td>
<td valign="middle" align="center" rowspan="1" colspan="1">Insert plastic patrix attachment</td>
<td valign="middle" align="right" rowspan="1" colspan="1">2.55</td>
<td valign="middle" align="right" rowspan="1" colspan="1">0.30</td>
<td valign="middle" align="center" rowspan="1" colspan="1">Hong et al. <xref rid="B9" ref-type="bibr">9</xref>
</td>
</tr>
<tr><td valign="middle" align="center" rowspan="1" colspan="1">Cortical bone</td>
<td valign="middle" align="center" rowspan="1" colspan="1">Peri-implant bone</td>
<td valign="middle" align="right" rowspan="1" colspan="1">13.70</td>
<td valign="middle" align="right" rowspan="1" colspan="1">0.30</td>
<td valign="middle" align="center" rowspan="2" colspan="1">Daas et al. <xref rid="B22" ref-type="bibr">22</xref>
</td>
</tr>
<tr><td valign="middle" align="center" rowspan="1" colspan="1">Trabecular bone</td>
<td valign="middle" align="center" rowspan="1" colspan="1">Peri-implant bone</td>
<td valign="middle" align="right" rowspan="1" colspan="1">1.37</td>
<td valign="middle" align="right" rowspan="1" colspan="1">0.30</td>
</tr>
</tbody>
</table>
</alternatives>
</table-wrap>
<table-wrap id="T2" orientation="portrait" position="float"><label>Table 2</label>
<caption><title>The von Mises stress (MPa) in the Locator attachments, abutment (matrix) and insert plastic element (patrix) for each model and occlusal load application site. The insert plastic stress, in brackets</title>
</caption>
<alternatives><graphic xlink:href="jap-9-371-i002"></graphic>
<table frame="hsides" rules="rows"><col width="20%" span="1"></col>
<col width="10%" span="1"></col>
<col width="10%" span="1"></col>
<col width="10%" span="1"></col>
<col width="10%" span="1"></col>
<col width="10%" span="1"></col>
<col width="10%" span="1"></col>
<col width="10%" span="1"></col>
<col width="10%" span="1"></col>
<thead><tr><th valign="middle" align="center" rowspan="3" colspan="1">Occlusal load application site</th>
<th valign="middle" align="center" rowspan="1" colspan="8">Overdenture models</th>
</tr>
<tr><th valign="middle" align="center" rowspan="1" colspan="2">Lateral implansts</th>
<th valign="middle" align="center" rowspan="1" colspan="2">Canine implants</th>
<th valign="middle" align="center" rowspan="1" colspan="2">2nd premolar implants</th>
<th valign="middle" align="center" rowspan="1" colspan="2">Crossed implants</th>
</tr>
<tr><th valign="middle" align="center" rowspan="1" colspan="1">Right side</th>
<th valign="middle" align="center" rowspan="1" colspan="1">Left side</th>
<th valign="middle" align="center" rowspan="1" colspan="1">Right side</th>
<th valign="middle" align="center" rowspan="1" colspan="1">Left side</th>
<th valign="middle" align="center" rowspan="1" colspan="1">Right side</th>
<th valign="middle" align="center" rowspan="1" colspan="1">Left side</th>
<th valign="middle" align="center" rowspan="1" colspan="1">Right side</th>
<th valign="middle" align="center" rowspan="1" colspan="1">Left side</th>
</tr>
</thead>
<tbody><tr><td valign="middle" align="left" rowspan="1" colspan="1">Unilateral posterior</td>
<td valign="middle" align="center" rowspan="1" colspan="1">701.90 (53.82)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">1141.00 (84.86)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">354.30 (39.77)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">891.78 (79.51)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">54.36 (5.23)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">318.22 (30.15)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">230.21 (19.31)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">1101.60 (114.83)</td>
</tr>
<tr><td valign="middle" align="left" rowspan="1" colspan="1">Unilateral posterior right side</td>
<td valign="middle" align="center" rowspan="1" colspan="1"></td>
<td valign="middle" align="center" rowspan="1" colspan="1"></td>
<td valign="middle" align="center" rowspan="1" colspan="1"></td>
<td valign="middle" align="center" rowspan="1" colspan="1"></td>
<td valign="middle" align="center" rowspan="1" colspan="1"></td>
<td valign="middle" align="center" rowspan="1" colspan="1"></td>
<td valign="middle" align="center" rowspan="1" colspan="1">110.52 (12.68)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">23.86 (2.26)</td>
</tr>
<tr><td valign="middle" align="left" rowspan="1" colspan="1">Unilateral canine</td>
<td valign="middle" align="center" rowspan="1" colspan="1">259.62 (25.04)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">522.92 (56.05)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">155.91 (15.74)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">535.88 (47.67)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">53.85 (7.76)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">248.31 (16.40)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">156.84 (13.16)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">681.40 (61.13)</td>
</tr>
<tr><td valign="middle" align="left" rowspan="1" colspan="1">Unilateral canine right side</td>
<td valign="middle" align="center" rowspan="1" colspan="1"></td>
<td valign="middle" align="center" rowspan="1" colspan="1"></td>
<td valign="middle" align="center" rowspan="1" colspan="1"></td>
<td valign="middle" align="center" rowspan="1" colspan="1"></td>
<td valign="middle" align="center" rowspan="1" colspan="1"></td>
<td valign="middle" align="center" rowspan="1" colspan="1"></td>
<td valign="middle" align="center" rowspan="1" colspan="1">249.69 (21.50)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">81.23 (10.58)</td>
</tr>
<tr><td valign="middle" align="left" rowspan="1" colspan="1">Unilateral midline</td>
<td valign="middle" align="center" rowspan="1" colspan="1">577.84 (32.15)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">967.91 (32.17)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">233.68 (34.52)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">200.21 (32.35)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">443.46 (42.20)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">514.85 (41.22)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">220.73 (22.15)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">225.12 (32.15)</td>
</tr>
<tr><td valign="middle" align="left" rowspan="1" colspan="1">Unilateral posterior and midline</td>
<td valign="middle" align="center" rowspan="1" colspan="1">553.28 (46.18)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">891.59 (83.93)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">297.30 (31.13)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">884.27 (78.49)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">667.90 (7.50)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">215.85 (19.46)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">181.34 (15.66)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">1064.30 (108.85)</td>
</tr>
<tr><td valign="middle" align="left" rowspan="1" colspan="1">Unilateral posterior and midline right side</td>
<td valign="middle" align="center" rowspan="1" colspan="1"></td>
<td valign="middle" align="center" rowspan="1" colspan="1"></td>
<td valign="middle" align="center" rowspan="1" colspan="1"></td>
<td valign="middle" align="center" rowspan="1" colspan="1"></td>
<td valign="middle" align="center" rowspan="1" colspan="1"></td>
<td valign="middle" align="center" rowspan="1" colspan="1"></td>
<td valign="middle" align="center" rowspan="1" colspan="1">73.36 (9.22)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">57.88 (8.47)</td>
</tr>
<tr><td valign="middle" align="left" rowspan="1" colspan="1">Bilateral posterior</td>
<td valign="middle" align="center" rowspan="1" colspan="1">681.64 (62.60)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">1115.20 (60.32)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">585.86 (57.09)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">553.63 (53.70)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">182.93 (17.74)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">181.72 (17.36)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">161.81 (14.93)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">556.69 (58.28)</td>
</tr>
<tr><td valign="middle" align="left" rowspan="1" colspan="1">Bilateral posterior and midline</td>
<td valign="middle" align="center" rowspan="1" colspan="1">611.97 (56.03)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">857.93 (55.66)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">544.77 (49.60)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">546.19 (49.43)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">80.28 (7.49)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">109.32 (7.39)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">121.43 (17.47)</td>
<td valign="middle" align="center" rowspan="1" colspan="1">519.42 (52.51)</td>
</tr>
</tbody>
</table>
</alternatives>
</table-wrap>
</floats-group>
</pmc>
</record>
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