<!DOCTYPE article
PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.4 20190208//EN"
       "JATS-journalpublishing1.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" article-type="research-article" dtd-version="1.4" xml:lang="en">
 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">Actual problems in dentistry</journal-id>
   <journal-title-group>
    <journal-title xml:lang="en">Actual problems in dentistry</journal-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Проблемы стоматологии</trans-title>
    </trans-title-group>
   </journal-title-group>
   <issn publication-format="print">2077-7566</issn>
   <issn publication-format="online">2412-9461</issn>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="publisher-id">55156</article-id>
   <article-id pub-id-type="doi">10.18481/2077-7566-2022-18-3-144-148</article-id>
   <article-categories>
    <subj-group subj-group-type="toc-heading" xml:lang="ru">
     <subject>ОРТОПЕДИЧЕСКАЯ СТОМАТОЛОГИЯ</subject>
    </subj-group>
    <subj-group subj-group-type="toc-heading" xml:lang="en">
     <subject>ORTHOPEDIC  DENTISTRY</subject>
    </subj-group>
    <subj-group>
     <subject>ОРТОПЕДИЧЕСКАЯ СТОМАТОЛОГИЯ</subject>
    </subj-group>
   </article-categories>
   <title-group>
    <article-title xml:lang="en">MATHEMATICAL MODELING OF BIOMECHANICAL FEATURES OF IMPLANTS POSITIONED UNDER INCLINE WITH DIFFERENT CONFIGURATIONS IMPLANT - ABUTMENT - LOCKING SCREW</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>МАТЕМАТИЧЕСКОЕ МОДЕЛИРОВАНИЕ БИОМЕХАНИЧЕСКИХ ОСОБЕННОСТЕЙ ИМПЛАНТАТОВ, РАСПОЛОЖЕННЫХ ПОД НАКЛОНОМ, С РАЗЛИЧНЫМИ КОНФИГУРАЦИЯМИ ИМПЛАНТАТ – АБАТМЕНТ – ФИКСИРУЮЩИЙ ВИНТ</trans-title>
    </trans-title-group>
   </title-group>
   <contrib-group content-type="authors">
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Дубова</surname>
       <given-names>Любовь Валерьевна</given-names>
      </name>
      <name xml:lang="en">
       <surname>Dubova</surname>
       <given-names>Lyubov V.</given-names>
      </name>
     </name-alternatives>
     <email>dubova.l@gmail.com</email>
     <bio xml:lang="ru">
      <p>доктор медицинских наук;</p>
     </bio>
     <bio xml:lang="en">
      <p>doctor of medical sciences;</p>
     </bio>
     <xref ref-type="aff" rid="aff-1"/>
    </contrib>
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-7829-975X</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Шлык</surname>
       <given-names>Андрей Дмитриевич</given-names>
      </name>
      <name xml:lang="en">
       <surname>Shlyk</surname>
       <given-names>Andrey Dmitrievich</given-names>
      </name>
     </name-alternatives>
     <email>Andshlyk@yandex.ru</email>
     <bio xml:lang="ru">
      <p>аспирант медицинских наук;</p>
     </bio>
     <bio xml:lang="en">
      <p>graduate student of medical sciences;</p>
     </bio>
     <xref ref-type="aff" rid="aff-2"/>
    </contrib>
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-0352-8746</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Максимов</surname>
       <given-names>Георгий Викторович</given-names>
      </name>
      <name xml:lang="en">
       <surname>Maximov</surname>
       <given-names>Georgiy Viktorovich</given-names>
      </name>
     </name-alternatives>
     <email>gvmaximov@yandex.ru</email>
     <bio xml:lang="ru">
      <p>кандидат медицинских наук;</p>
     </bio>
     <bio xml:lang="en">
      <p>candidate of medical sciences;</p>
     </bio>
     <xref ref-type="aff" rid="aff-3"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Маджидова</surname>
       <given-names>Елизавета Руслановна</given-names>
      </name>
      <name xml:lang="en">
       <surname>Madjidova</surname>
       <given-names>Elizaveta Ruslanovna</given-names>
      </name>
     </name-alternatives>
     <email>Madzhidova@mail.ru</email>
     <bio xml:lang="ru">
      <p>кандидат медицинских наук;</p>
     </bio>
     <bio xml:lang="en">
      <p>candidate of medical sciences;</p>
     </bio>
     <xref ref-type="aff" rid="aff-4"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">Российский университет медицины</institution>
     <city>Москва</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Russian University of Medicine</institution>
     <city>Moscow</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-2">
    <aff>
     <institution xml:lang="ru">Московский государственный медико-стоматологический университет имени А. И. Евдокимова</institution>
     <city>Москва</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Moscow State University of Medicine and Dentistry named after A. I. Evdokimov</institution>
     <city>Moscow</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-3">
    <aff>
     <institution xml:lang="ru">Российский университет медицины</institution>
     <city>Москва</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Russian University of Medicine</institution>
     <city>Moscow</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-4">
    <aff>
     <institution xml:lang="ru">Московский государственный медико-стоматологический университет имени А. И. Евдокимова</institution>
     <city>Москва</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Peoples' Friendship University of Russia</institution>
     <city>Moscow</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <pub-date publication-format="print" date-type="pub" iso-8601-date="2022-11-23T21:53:19+03:00">
    <day>23</day>
    <month>11</month>
    <year>2022</year>
   </pub-date>
   <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2022-11-23T21:53:19+03:00">
    <day>23</day>
    <month>11</month>
    <year>2022</year>
   </pub-date>
   <volume>18</volume>
   <issue>3</issue>
   <fpage>144</fpage>
   <lpage>148</lpage>
   <history>
    <date date-type="received" iso-8601-date="2022-11-20T00:00:00+03:00">
     <day>20</day>
     <month>11</month>
     <year>2022</year>
    </date>
   </history>
   <self-uri xlink:href="https://dental-press.ru/en/nauka/article/55156/view">https://dental-press.ru/en/nauka/article/55156/view</self-uri>
   <abstract xml:lang="ru">
    <p>Предмет. Различные варианты внутренних соединений имплантатов, абатментов и винтов имеют биомеханические особенности, которые влияют на успех имплантологического лечения.&#13;
Все структуры имплантационной системы, включая внутреннее соединение, подвергаются воздействию жевательной нагрузки. Наиболее благоприятным расположением имплантата является позиция, соосная окклюзионной нагрузке. Однако во многих клинических случаях, вследствие анатомических ограничений и наличия противопоказаний к костнопластическим операциям, появляется необходимость установки имплантатов под наклоном.&#13;
В настоящее время в стоматологической практике успешно внедряются угловые дентальные имплантаты — с расположенной под углом к оси имплантата ортопедической платформой и шахтой фиксирующего винта.&#13;
Четкое понимание особенностей распределения напряжения внутри различных типов соединений имплантатов позволяет оптимизировать планирование и лечение, тем самым снизить риск появления осложнений.&#13;
Цель. Изучить особенности распределения напряжения в имплантационных системах с различными дизайнами соединений между имплантатом, расположенным под наклоном, винтом и супраструктурой. &#13;
Методология. Проведено исследование напряженно-деформированного состояния имплантационных систем с применением метода анализа конечных элементов при использовании прямых и угловых имплантатов для стоматологического ортопедического лечения с использованием несъемных конструкций.&#13;
Результаты. Пиковые показатели напряжений для моделей с прямым имплантатом при различных вариантах направления окклюзионной нагрузки варьировались от 43 до 45 Мпа. Для модели с применением углового имплантата максимальные значения напряжения достигали 70 МПа при соосной нагрузке и 265 МПа при нагрузке, направленной под углом.&#13;
Выводы. Различная структура внутреннего соединения в значительной степени влияет как на локализацию, так и на на абсолютное значение максимальных напряжений. В случае модели с прямым имплантатом максимальные показатели напряжения значительно ниже пределов усталостного разрушения, при рассмотрении модели с угловым имплантатом максимальные значения напряжения и их локализация сопоставимы с величиной усталостной прочности при определенных направлениях нагрузки, что, потенциально, может приводить к повреждениям во внутреннем соединении имплантата.</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>Subject. Various options for internal connections of implants, abutments and screws have biomechanical features that affect the success of implant treatment.&#13;
All structures of the implant system, including the internal connection, are subjected to masticatory stress. The most favorable location of the implant is the position coaxial to the occlusal load. However, in many clinical cases, due to anatomical limitations and the presence of contraindications for osteoplastic surgery, it becomes necessary to install implants at an angle.&#13;
At present, angular dental implants are being successfully introduced in dental practice - implants with an orthopedic platform located at an angle to the axis of the implant and a fixing screw shaft.&#13;
A clear understanding of the features of stress distribution within various types of implant connections allows you to optimize planning and treatment, thereby reducing the risk of complications.&#13;
Purpose. To study the features of stress distribution in implant systems with different designs of connections between an implant located at an angle, a screw and a suprastructure.&#13;
Methods. A study of the stress-strain state of implant systems was carried out using the finite element analysis method when using straight and angled implants for dental orthopedic treatment using non-removable structures.&#13;
Results. Peak stress values for models with a direct implant with different options for the direction of the occlusal load varied from 43 to 45 MPa. For the model with the use of an angled implant, the maximum stresses reached 70 MPa under a coaxial load, and 265 MPa under an angled load.&#13;
Conclusions. It is shown that the different structure of the inner connection largely affects both the localization and the absolute value of the maximum stresses. In the case of a model with a straight implant, the maximum stress values are significantly lower than the fatigue failure limits; when considering a model with an angled implant, the maximum stress values and their localization are comparable to the fatigue strength value under certain load directions, which can potentially lead to damage in the internal connection of the implant.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>соединение имплантата и абатмента</kwd>
    <kwd>абатмент</kwd>
    <kwd>фиксирующий винт</kwd>
    <kwd>винт абатмента</kwd>
    <kwd>винт имплантата</kwd>
    <kwd>математическое моделирование</kwd>
    <kwd>метод конечных элементов</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>implant and abutment connection</kwd>
    <kwd>abutment</kwd>
    <kwd>fixation screw</kwd>
    <kwd>abutment screw</kwd>
    <kwd>implant screw</kwd>
    <kwd>mathematical modeling</kwd>
    <kwd>finite element method</kwd>
   </kwd-group>
  </article-meta>
 </front>
 <body>
  <p></p>
 </body>
 <back>
  <ref-list>
   <ref id="B1">
    <label>1.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Aaron Yu-Jen Wu, Jui-Ting Hsu, Lih-Jyh Fuh, Heng-Li Huang. Biomechanical effect of implant design onfour implants supporting mandibular full-arch fixed dentures: In vitro test and finite element analysis // Journal of the Formosan Medical Association - 2019. doi: 10.1016/j.jfma.2020.11.011</mixed-citation>
     <mixed-citation xml:lang="en">Aaron Yu-Jen Wu, Jui-Ting Hsu, Lih-Jyh Fuh, Heng-Li Huang. Biomechanical effect of implant design onfour implants supporting mandibular full-arch fixed dentures: In vitro test and finite element analysis // Journal of the Formosan Medical Association - 2019. doi: 10.1016/j.jfma.2020.11.011</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B2">
    <label>2.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Amanda Robau Porruaa, Yoan Pérez Rodríguezb, Laura M. Soris Rodrígueza, Osmel Pérez Acostab, Jesús E. Gonzálezc The effect of diameter, length and elasticmodulus of a dental im plant on stress and strain levels in peri-implant bone: a 3D finite element analysis // Bio-Medical - Materials and Engineering. - 2020. DOI: 10.3233/bme-191073</mixed-citation>
     <mixed-citation xml:lang="en">Amanda Robau Porruaa, Yoan Pérez Rodríguezb, Laura M. Soris Rodrígueza, Osmel Pérez Acostab, Jesús E. Gonzálezc The effect of diameter, length and elasticmodulus of a dental im plant on stress and strain levels in peri-implant bone: a 3D finite element analysis // Bio-Medical - Materials and Engineering. - 2020. DOI: 10.3233/bme-191073</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B3">
    <label>3.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Daniel Augusto de Faria Almeida, Eduardo Piza Pellizzer, Fellippo Ramos Verri, Joel Ferreira Santiago, Paulo Ségio Perri de Carvalho Influence of tapered and external hexagon connections on bone stresses around tilted dental implants: three-dimensional finite element method with statistical analysis // Journal of Periodontology. - 2014;85(2):261-269. doi: 10.1902/jop.2013.120713.</mixed-citation>
     <mixed-citation xml:lang="en">Daniel Augusto de Faria Almeida, Eduardo Piza Pellizzer, Fellippo Ramos Verri, Joel Ferreira Santiago, Paulo Ségio Perri de Carvalho Influence of tapered and external hexagon connections on bone stresses around tilted dental implants: three-dimensional finite element method with statistical analysis // Journal of Periodontology. - 2014;85(2):261-269. doi: 10.1902/jop.2013.120713.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B4">
    <label>4.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Edmundo José Moreira de Melo, Jr, MD, MS, DDSa and Carlos Eduardo Francischone, PhDb. Three-dimensional finite element analysis of two angled narrow-diameter implant designs for an all-on-4 prosthesis // The journal of prosthetic dentistry. - 2019. doi: 10.1016/j.prosdent.2019.09.015.</mixed-citation>
     <mixed-citation xml:lang="en">Edmundo José Moreira de Melo, Jr, MD, MS, DDSa and Carlos Eduardo Francischone, PhDb. Three-dimensional finite element analysis of two angled narrow-diameter implant designs for an all-on-4 prosthesis // The journal of prosthetic dentistry. - 2019. doi: 10.1016/j.prosdent.2019.09.015.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B5">
    <label>5.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Elias D.M., Valerio C.S., de Oliveira D.D., Manzi F.R., Zenóbio E.G., Seraidarian P.I. Evaluation of Different Heights of Prosthetic Crowns Supported // Ultra-Short Implant Using Three-Dimensional Finite Element Analysis. - 2020;33:81-90. doi: 10.11607/ijp.6247.</mixed-citation>
     <mixed-citation xml:lang="en">Elias D.M., Valerio C.S., de Oliveira D.D., Manzi F.R., Zenóbio E.G., Seraidarian P.I. Evaluation of Different Heights of Prosthetic Crowns Supported // Ultra-Short Implant Using Three-Dimensional Finite Element Analysis. - 2020;33:81-90. doi: 10.11607/ijp.6247.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B6">
    <label>6.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Iglesia M.A. Anteriorly Tilted Implants in Maxillary Tuberosity: Avoiding the Maxillary Sinus // CPOI. - 2012;3(1):6-16. Corpus ID: 137889837</mixed-citation>
     <mixed-citation xml:lang="en">Iglesia M.A. Anteriorly Tilted Implants in Maxillary Tuberosity: Avoiding the Maxillary Sinus // CPOI. - 2012;3(1):6-16. Corpus ID: 137889837</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B7">
    <label>7.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Jingxiao Zhong, Massimiliano Guazzato, Junning Chen, Zhongpu Zhang, Guangyong Sun, Xintao Huo, Xinglong Liu, Rohana Ahmad, Qing Li. Effect of different implant configurations on biomechanical behavior of full-arch implant-supported mandibular monolithic zirconia fixed prostheses // Journal Pre-proof. - 2019. doi: 10.1016/j.jmbbm.2019.103490.</mixed-citation>
     <mixed-citation xml:lang="en">Jingxiao Zhong, Massimiliano Guazzato, Junning Chen, Zhongpu Zhang, Guangyong Sun, Xintao Huo, Xinglong Liu, Rohana Ahmad, Qing Li. Effect of different implant configurations on biomechanical behavior of full-arch implant-supported mandibular monolithic zirconia fixed prostheses // Journal Pre-proof. - 2019. doi: 10.1016/j.jmbbm.2019.103490.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B8">
    <label>8.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">João-Paulo-Mendes Tribst, Vinicius-Aneas Rodrigues, Amanda-Maria-de Oliveira Dal Piva, Alexandre-Luiz-Souto Borges, Renato-Sussumu Nishioka. The importance of correct implants positioning and masticatory load direction on a fixed prosthesis // Journal section: Biomaterials and Bioengineering in Dentistry. - 2017:e81. doi: 10.4317/jced.54489.</mixed-citation>
     <mixed-citation xml:lang="en">João-Paulo-Mendes Tribst, Vinicius-Aneas Rodrigues, Amanda-Maria-de Oliveira Dal Piva, Alexandre-Luiz-Souto Borges, Renato-Sussumu Nishioka. The importance of correct implants positioning and masticatory load direction on a fixed prosthesis // Journal section: Biomaterials and Bioengineering in Dentistry. - 2017:e81. doi: 10.4317/jced.54489.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B9">
    <label>9.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Kaleli N., Sarac D., Külünk S., Öztürk Ö. Effect of different restorative crown and customized abutment materials on stress distribution in single implants and peripheral bone: A three-dimensional finite element analysis study // J Prosthet Dent. - 2018;119(3):437-445. doi: 10.1016/j.prosdent.2017.03.008.</mixed-citation>
     <mixed-citation xml:lang="en">Kaleli N., Sarac D., Külünk S., Öztürk Ö. Effect of different restorative crown and customized abutment materials on stress distribution in single implants and peripheral bone: A three-dimensional finite element analysis study // J Prosthet Dent. - 2018;119(3):437-445. doi: 10.1016/j.prosdent.2017.03.008.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B10">
    <label>10.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Krishna Chaitanya Kanneganti, Dileep Nag Vinnakota, Srinivas Rao Pottem, Mahesh Pulagam. Comparative effect of implant-abutment connections, abutment angulations, and screw lengths on preloaded abutment screw using three-dimensional finite element analysis: An in vitro study // The Journal of Indian Prosthodontic Society. - 2018:161. doi: 10.4103/jips.jips_219_17.</mixed-citation>
     <mixed-citation xml:lang="en">Krishna Chaitanya Kanneganti, Dileep Nag Vinnakota, Srinivas Rao Pottem, Mahesh Pulagam. Comparative effect of implant-abutment connections, abutment angulations, and screw lengths on preloaded abutment screw using three-dimensional finite element analysis: An in vitro study // The Journal of Indian Prosthodontic Society. - 2018:161. doi: 10.4103/jips.jips_219_17.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B11">
    <label>11.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Ricomini Filho A.P., Fernandes F.S., Straioto F.G., da Silva W.J., Del Bel Cury A.A. Preload loss and bacterial penetration on different implant-abutment connection systems // Braz Dent J. - 2010;21:123-129. doi: 10.1590/s0103-64402010000200006.</mixed-citation>
     <mixed-citation xml:lang="en">Ricomini Filho A.P., Fernandes F.S., Straioto F.G., da Silva W.J., Del Bel Cury A.A. Preload loss and bacterial penetration on different implant-abutment connection systems // Braz Dent J. - 2010;21:123-129. doi: 10.1590/s0103-64402010000200006.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B12">
    <label>12.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Shima Aalaei1, Zahra Rajabi Naraki, Fatemeh Nematollahi, Elaheh Beyabanaki, Afsaneh Shahrokhi Rad. Stress distribution pattern of screw-retained restorations with segmented vs. non-segmented abutments: A finite element analysis // Journal of Dental Research, Dental Clinics, Dental Prospects. - 2017. doi: 10.15171/joddd.2017.027.</mixed-citation>
     <mixed-citation xml:lang="en">Shima Aalaei1, Zahra Rajabi Naraki, Fatemeh Nematollahi, Elaheh Beyabanaki, Afsaneh Shahrokhi Rad. Stress distribution pattern of screw-retained restorations with segmented vs. non-segmented abutments: A finite element analysis // Journal of Dental Research, Dental Clinics, Dental Prospects. - 2017. doi: 10.15171/joddd.2017.027.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B13">
    <label>13.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Yang Y.Z., Tian X.H., Zhou Y.M. Effect of zirconia abutment angulation on stress distribution in the abutment and the bone around implant: a finite element study // Shanghai Kou Qiang Yi Xue. - 2015;24(4):447-450. PMID: 26383569</mixed-citation>
     <mixed-citation xml:lang="en">Yang Y.Z., Tian X.H., Zhou Y.M. Effect of zirconia abutment angulation on stress distribution in the abutment and the bone around implant: a finite element study // Shanghai Kou Qiang Yi Xue. - 2015;24(4):447-450. PMID: 26383569</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B14">
    <label>14.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Олесова В.Н., Дубинский С.И., Бронштейн Д.А., Магамедханов Ю.М., Кащенко П.В., Юффа Е.П. Сравнительное математическое моделирование прочностных и деформационных параметров металлокерамических коронок с винтовой и цементной фиксацией к имплантатам. Кубанский научный медицинский вестник. 2013;6:141. [V.N. Olesova, S.I. Dubinsky, D.A. Bronstein, Yu.M. Magamedkhanov, P.V. Kashchenko, E.P. Yuffa Comparative mathematical modeling of strength and deformation parameters of metal-ceramic crowns with screw and cement fixation to implants. Kuban Scientific Medical Bulletin. 2013;6:141. (In Russ.)]. eLIBRARY ID:20311722</mixed-citation>
     <mixed-citation xml:lang="en">Olesova V.N., Dubinskiy S.I., Bronshteyn D.A., Magamedhanov Yu.M., Kaschenko P.V., Yuffa E.P. Sravnitel'noe matematicheskoe modelirovanie prochnostnyh i deformacionnyh parametrov metallokeramicheskih koronok s vintovoy i cementnoy fiksaciey k implantatam. Kubanskiy nauchnyy medicinskiy vestnik. 2013;6:141. [V.N. Olesova, S.I. Dubinsky, D.A. Bronstein, Yu.M. Magamedkhanov, P.V. Kashchenko, E.P. Yuffa Comparative mathematical modeling of strength and deformation parameters of metal-ceramic crowns with screw and cement fixation to implants. Kuban Scientific Medical Bulletin. 2013;6:141. (In Russ.)]. eLIBRARY ID:20311722</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B15">
    <label>15.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Дубова Л.В., Малик М.В., Серикова Ю.С. Изучение напряженно-деформационного состояния различных материалов временных ортопедических конструкций с опорой на изоэластичные имплантаты из полиэфирэфиркетона методом конечных элементов. Современная стоматология. Сборник научных трудов, посвященный 125-летию основателя кафедры ортопедической стоматологии КГМУ профессора Исаака Михайловича Оксмана. Казань. 2017:124-129. [L.V. Dubova, M.V. Malik, Yu.S. Serikova. The study of the stress-strain state of various materials of temporary orthopedic structures based on isoelastic implants made of polyetheretherketone using the finite element method. Modern dentistry. Collection of scientific papers dedicated to the 125th anniversary of the founder of the Department of Orthopedic Dentistry of KSMU Professor Isaak Mikhailovich Oksman. Kazan. 2017:124-129. (In Russ.)]. eLIBRARY ID:30020429</mixed-citation>
     <mixed-citation xml:lang="en">Dubova L.V., Malik M.V., Serikova Yu.S. Izuchenie napryazhenno-deformacionnogo sostoyaniya razlichnyh materialov vremennyh ortopedicheskih konstrukciy s oporoy na izoelastichnye implantaty iz poliefirefirketona metodom konechnyh elementov. Sovremennaya stomatologiya. Sbornik nauchnyh trudov, posvyaschennyy 125-letiyu osnovatelya kafedry ortopedicheskoy stomatologii KGMU professora Isaaka Mihaylovicha Oksmana. Kazan'. 2017:124-129. [L.V. Dubova, M.V. Malik, Yu.S. Serikova. The study of the stress-strain state of various materials of temporary orthopedic structures based on isoelastic implants made of polyetheretherketone using the finite element method. Modern dentistry. Collection of scientific papers dedicated to the 125th anniversary of the founder of the Department of Orthopedic Dentistry of KSMU Professor Isaak Mikhailovich Oksman. Kazan. 2017:124-129. (In Russ.)]. eLIBRARY ID:30020429</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B16">
    <label>16.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Гришин П.О., Салеев Р.А., Ксембаев С.С. и др. Конечно-элементный анализ имплантатов системы Humana dental с инновационной поверхностью и дизайном резьбы для выявления распределения напряжений в имплантате, костной ткани и в соединении абатмент - имплантат - кость. Проблемы стоматологии. 2022;18(1):99-107. [P.O. Grishin, R.A. Saleev, S.S. Ksembaev. Finite element analysis of Humana dental system implants with an innovative surface and thread design to detect stress distribution in the implant, bone tissue and in the abutment-implant-bone connection. Actual problems in dentistry. 2022;18(1):99-107. (In Russ.)]. DOI 10.18481/2077-7566-22-18-1-99-107.</mixed-citation>
     <mixed-citation xml:lang="en">Grishin P.O., Saleev R.A., Ksembaev S.S. i dr. Konechno-elementnyy analiz implantatov sistemy Humana dental s innovacionnoy poverhnost'yu i dizaynom rez'by dlya vyyavleniya raspredeleniya napryazheniy v implantate, kostnoy tkani i v soedinenii abatment - implantat - kost'. Problemy stomatologii. 2022;18(1):99-107. [P.O. Grishin, R.A. Saleev, S.S. Ksembaev. Finite element analysis of Humana dental system implants with an innovative surface and thread design to detect stress distribution in the implant, bone tissue and in the abutment-implant-bone connection. Actual problems in dentistry. 2022;18(1):99-107. (In Russ.)]. DOI 10.18481/2077-7566-22-18-1-99-107.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B17">
    <label>17.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Мурашов М., Шорстов Я., Вентер И. Использование трансскуловых и угловых имплантатов при реабилитации пациентов с атрофией челюстных костей. Цифровая стоматология. 2018;8(1):95-99. [M. Murashov, Ya. Shorstov, I. Venter. The use of transzygomatic and angled implants in the rehabilitation of patients with atrophy of the jaw bones. Digital Dentistry. 2018;8(1):95-99. (In Russ.)]. eLIBRARY ID: 39198917</mixed-citation>
     <mixed-citation xml:lang="en">Murashov M., Shorstov Ya., Venter I. Ispol'zovanie transskulovyh i uglovyh implantatov pri reabilitacii pacientov s atrofiey chelyustnyh kostey. Cifrovaya stomatologiya. 2018;8(1):95-99. [M. Murashov, Ya. Shorstov, I. Venter. The use of transzygomatic and angled implants in the rehabilitation of patients with atrophy of the jaw bones. Digital Dentistry. 2018;8(1):95-99. (In Russ.)]. eLIBRARY ID: 39198917</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B18">
    <label>18.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Чумаченко Е.Н., Арутюнов С.Д., Воложин А.И., Ибрагимов Т.И., Лебеденко И.Ю., Мальгинов Н.Н., Янушевич О.О., Левин Г.Г., Лосев Ф.Ф., Олесова В.Н. Создание научных основ, разработка и внедрение в клиническую практику компьютерного моделирования лечебных технологий и прогнозов реабилитации больных с челюстно-лицевыми дефектами и стоматологическими заболеваниями. Москва. 2010. [E.N. Chumachenko, S.D. Arutyunov, A.I. Volozhin, T.I. Ibragimov, I.Yu. Lebedenko, N.N. Malginov, O.O. Yanushevich, G.G. Levin, F.F. Losev, V.N. Olesova. Creation of scientific bases, development and introduction into clinical practice of computer modeling of medical technologies and forecasts of rehabilitation of patients with maxillofacial defects and dental diseases. Moscow. 2010. (In Russ.)]. eLIBRARY ID: 22007467</mixed-citation>
     <mixed-citation xml:lang="en">Chumachenko E.N., Arutyunov S.D., Volozhin A.I., Ibragimov T.I., Lebedenko I.Yu., Mal'ginov N.N., Yanushevich O.O., Levin G.G., Losev F.F., Olesova V.N. Sozdanie nauchnyh osnov, razrabotka i vnedrenie v klinicheskuyu praktiku komp'yuternogo modelirovaniya lechebnyh tehnologiy i prognozov reabilitacii bol'nyh s chelyustno-licevymi defektami i stomatologicheskimi zabolevaniyami. Moskva. 2010. [E.N. Chumachenko, S.D. Arutyunov, A.I. Volozhin, T.I. Ibragimov, I.Yu. Lebedenko, N.N. Malginov, O.O. Yanushevich, G.G. Levin, F.F. Losev, V.N. Olesova. Creation of scientific bases, development and introduction into clinical practice of computer modeling of medical technologies and forecasts of rehabilitation of patients with maxillofacial defects and dental diseases. Moscow. 2010. (In Russ.)]. eLIBRARY ID: 22007467</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B19">
    <label>19.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Bilhan H. An alternative method to treat a casewith severe maxillary atrophy by the use of angled implants instead of complicated augmentation procedures: a case report // Journal of Oral Implantology. - 2008;34(1):47-51. doi: 10.1563/1548-1336(2008)34[47:AAMTTA]2.0.CO;2.</mixed-citation>
     <mixed-citation xml:lang="en">Bilhan H. An alternative method to treat a casewith severe maxillary atrophy by the use of angled implants instead of complicated augmentation procedures: a case report // Journal of Oral Implantology. - 2008;34(1):47-51. doi: 10.1563/1548-1336(2008)34[47:AAMTTA]2.0.CO;2.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B20">
    <label>20.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Edmundo José Moreira de Melo, Jr, MD, MS, DDSa, Carlos Eduardo Francischone, PhDb. Three-dimensional finite element analysis of two angled narrow-diameter implant designs for an all-on-4 prosthesis // The journal of prosthetic dentistry. - 2019. doi: 10.1016/j.prosdent.2019.09.015.</mixed-citation>
     <mixed-citation xml:lang="en">Edmundo José Moreira de Melo, Jr, MD, MS, DDSa, Carlos Eduardo Francischone, PhDb. Three-dimensional finite element analysis of two angled narrow-diameter implant designs for an all-on-4 prosthesis // The journal of prosthetic dentistry. - 2019. doi: 10.1016/j.prosdent.2019.09.015.</mixed-citation>
    </citation-alternatives>
   </ref>
  </ref-list>
 </back>
</article>
