<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE root>
<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" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="review-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Acta Universitatis Dentistriae et Chirurgiae Maxillofacialis</journal-id><journal-title-group><journal-title xml:lang="en">Acta Universitatis Dentistriae et Chirurgiae Maxillofacialis</journal-title><trans-title-group xml:lang="kk"><trans-title>Acta Universitatis Dentistriae et Chirurgiae Maxillofacialis</trans-title></trans-title-group><trans-title-group xml:lang="pt"><trans-title>Acta Universitatis Dentistriae et Chirurgiae Maxillofacialis</trans-title></trans-title-group><trans-title-group xml:lang="ru"><trans-title>Университетская стоматология и челюстно-лицевая хирургия</trans-title></trans-title-group><trans-title-group xml:lang="zh"><trans-title>Acta Universitatis Dentistriae et Chirurgiae Maxillofacialis</trans-title></trans-title-group></journal-title-group><issn publication-format="electronic">3034-297X</issn><publisher><publisher-name xml:lang="en">Eco-Vector</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">634485</article-id><article-id pub-id-type="doi">10.17816/uds634485</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Reviews</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Обзоры</subject></subj-group><subj-group subj-group-type="article-type"><subject>Review Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Finite Element Method in Orthognatic Surgery</article-title><trans-title-group xml:lang="ru"><trans-title>Применение метода конечных элементов в ортогнатической хирургии</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-9186-5277</contrib-id><contrib-id contrib-id-type="spin">9720-0502</contrib-id><name-alternatives><name xml:lang="en"><surname>Vishnyova</surname><given-names>Natalia V.</given-names></name><name xml:lang="ru"><surname>Вишнёва</surname><given-names>Наталия Васильевна</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><bio xml:lang="en"><p>MD, Cand. Sci. (Med.), Associate Professor of the Department of Dentistry of Surgical and Maxillofacial Surgery</p></bio><bio xml:lang="ru"><p>канд. мед. наук, доцент, кафедра стоматологии хирургической и челюстно-лицевой хирургии</p></bio><email>dr.pnv25@yandex.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-4501-2166</contrib-id><contrib-id contrib-id-type="spin">4585-8331</contrib-id><name-alternatives><name xml:lang="en"><surname>Lanina</surname><given-names>Anastasia N.</given-names></name><name xml:lang="ru"><surname>Ланина</surname><given-names>Анастасия Николаевна</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><bio xml:lang="en"><p>MD, Cand. Sci. (Med.), Associate Professor</p></bio><bio xml:lang="ru"><p>канд. мед. наук, доцент</p></bio><email>sadis57@mail.ru</email><xref ref-type="aff" rid="aff2"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Zhmaylo</surname><given-names>Mikhail A.</given-names></name><name xml:lang="ru"><surname>Жмайло</surname><given-names>Михаил Александрович</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><bio xml:lang="en"><p>Leading Engineer</p></bio><bio xml:lang="ru"><p>ведущий инженер</p></bio><email>zhmaylo@compmechlab.com</email><xref ref-type="aff" rid="aff3"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Timerbulatova</surname><given-names>Karina R.</given-names></name><name xml:lang="ru"><surname>Тимербулатова</surname><given-names>Карина Радиновна</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><bio xml:lang="en"><p>Resident</p></bio><bio xml:lang="ru"><p>ординатор</p></bio><email>timerbulatova.karina@mail.ru</email><xref ref-type="aff" rid="aff4"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">First Pavlov State Medical University of Saint Petersburg</institution></aff><aff><institution xml:lang="ru">Первый Санкт-Петербургский государственный медицинский университет им. акад. И.П. Павлова</institution></aff></aff-alternatives><aff-alternatives id="aff2"><aff><institution xml:lang="en">North-Western State Medical University named after I.I. Mechnikov</institution></aff><aff><institution xml:lang="ru">Северо-Западный государственный медицинский университет им. И.И. Мечникова</institution></aff></aff-alternatives><aff-alternatives id="aff3"><aff><institution xml:lang="en">Peter the Great Saint Petersburg Polytechnic University</institution></aff><aff><institution xml:lang="ru">Санкт-Петербургский политехнический университет Петра Великого</institution></aff></aff-alternatives><aff-alternatives id="aff4"><aff><institution xml:lang="en">Yaroslav the Wise Novgorod State University</institution></aff><aff><institution xml:lang="ru">Новгородский государственный университет имени Ярослава Мудрого</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2024-11-02" publication-format="electronic"><day>02</day><month>11</month><year>2024</year></pub-date><volume>2</volume><issue>3</issue><issue-title xml:lang="en"/><issue-title xml:lang="ru"/><fpage>123</fpage><lpage>130</lpage><history><date date-type="received" iso-8601-date="2024-07-21"><day>21</day><month>07</month><year>2024</year></date><date date-type="accepted" iso-8601-date="2024-09-23"><day>23</day><month>09</month><year>2024</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2024, Eco-Vector</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2024, Эко-вектор</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="en">Eco-Vector</copyright-holder><copyright-holder xml:lang="ru">Эко-вектор</copyright-holder><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/><license><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">https://creativecommons.org/licenses/by-nc-nd/4.0</ali:license_ref></license></permissions><self-uri xlink:href="https://stomuniver.ru/unistom/article/view/634485">https://stomuniver.ru/unistom/article/view/634485</self-uri><abstract xml:lang="en"><p>The paper addresses the potential applications of the finite element method in orthognatic surgery. The finite element method has become a valuable research tool in dentistry due to its versatility, capacity to simulate complex geometry, and quick results. It is used for stress and strain analysis in complex mechanical systems and allows for the mathematical transformation and analysis of mechanical properties of geometric objects. The advantages of the finite element method in orthognatic surgery include reduced need for long-term animal tests and unethical tests in humans, noninvasiveness, imaging of superimposed structures, simplified analysis of the materials and geometry of orofacial structures, accurate determination of the direction and magnitude of the applied force, theoretical measurements of stress points, constant physical properties of assessed materials, high repeatability of tests, as well as static and dynamic analysis. The disadvantages of the method include the effect of the equipment used on the quality and details of findings, the need for extensive knowledge of materials science, the risk of errors in input data, statistics, and interpretation of findings, the need for advanced computer skills, and the inability to predict changes in assessed structures. Overall, the finite element method has proven effective in addressing biomedical issues in dentistry and orthognatic surgery.</p></abstract><trans-abstract xml:lang="ru"><p>Представлен обзор возможностей применения метода конечных элементов в ортогнатической хирургии. Благодаря универсальности и способности моделировать сложную геометрию и получать быстрые результаты метод конечных элементов стал важным исследовательским инструментом в стоматологии и используется для анализа напряжений и деформаций в сложных механических системах и позволяет выполнять математическое преобразование и анализ механических свойств геометрического объекта. В ортогнатической хирургии метод демонстрирует такие преимущества, как сведение к минимуму необходимости проведения длительных исследований на животных и неэтичных испытаний на людях, неинвазивность, возможность визуализации наложенных друг на друга структур, упрощение анализа свойств материалов челюстно-лицевых структур и их геометрии, точное определение направления и величины приложенной силы, возможность теоретического измерения точек напряжения, неизменность физических свойств оцениваемых материалов, возможность бесконечного повторения теста, а также статического и динамического анализа. К недостаткам метода можно отнести зависимость качества и деталей результатов от используемой при расчетах техники, необходимость глубокого знания материаловедения, вероятность ошибок во входных данных, статистике и интерпретации результатов, необходимость владения специальными навыками работы с компьютером, невозможность предположить динамику изменения исследуемых структур. В целом, метод конечных элементов хорошо зарекомендовал себя в стоматологии и ортогнатической хирургии для решения биомедицинских проблем.</p></trans-abstract><kwd-group xml:lang="en"><kwd>finite element method</kwd><kwd>computing engineering</kwd><kwd>digital testing</kwd><kwd>virtual testing</kwd><kwd>biomechanics</kwd><kwd>orthognatic surgery</kwd><kwd>orthodontics</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>метод конечных элементов</kwd><kwd>компьютерный инжиниринг</kwd><kwd>цифровые испытания</kwd><kwd>виртуальные испытания</kwd><kwd>биомеханика</kwd><kwd>ортогнатическая хирургия</kwd><kwd>ортодонтия</kwd></kwd-group><funding-group/></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><citation-alternatives><mixed-citation xml:lang="en">Marcián P, Wolff J, Horáčková L, et al. Micro finite element analysis of dental implants under different loading conditions. Comput Biol Med. 2018;96:157–165. doi: 10.1016/j.compbiomed.2018.03.012</mixed-citation><mixed-citation xml:lang="ru">Marcián P., Wolff J., Horáčková L., et al. Micro finite element analysis of dental implants under different loading conditions // Comput Biol Med. 2018. Vol. 96. P. 157–165. doi: 10.1016/j.compbiomed.2018.03.012</mixed-citation></citation-alternatives></ref><ref id="B2"><label>2.</label><citation-alternatives><mixed-citation xml:lang="en">Boccaccio A, Uva AE, Fiorentino M, et al. Optimal load for bone tissue scaffolds with an assigned geometry. Int J Med Sci. 2018;15(1):16–22. doi: 10.7150/ijms.20522</mixed-citation><mixed-citation xml:lang="ru">Boccaccio A., Uva A.E., Fiorentino M., et al. Optimal load for bone tissue scaffolds with an assigned geometry // Int J Med Sci. 2018. Vol. 15, N 1. P. 16–22. doi: 10.7150/ijms.20522</mixed-citation></citation-alternatives></ref><ref id="B3"><label>3.</label><citation-alternatives><mixed-citation xml:lang="en">Srirekha A, Bashetty K. Infinite to finite: An overview of finite element analysis. Indian J Dent Res. 2010;21(3):425–432. doi: 10.4103/0970-9290.70813</mixed-citation><mixed-citation xml:lang="ru">Srirekha A., Bashetty K. Infinite to finite: An overview of finite element analysis // Indian J Dent Res. 2010. Vol. 21, N 3. P. 425–432. doi: 10.4103/0970-9290.70813</mixed-citation></citation-alternatives></ref><ref id="B4"><label>4.</label><citation-alternatives><mixed-citation xml:lang="en">Kul E, Korkmaz İH. Effect of different design of abutment and implant on stress distribution in 2 implants and peripheral bone: A finite element analysis study. J Prosthet Dent. 2021;126(5):664.E1–664.E9. doi: 10.1016/j.prosdent.2020.09.058</mixed-citation><mixed-citation xml:lang="ru">Kul E., Korkmaz İ.H. Effect of different design of abutment and implant on stress distribution in 2 implants and peripheral bone: A finite element analysis study // J Prosthet Dent. 2021. Vol. 126, N 5. P. 664.E1–664.E9. doi: 10.1016/j.prosdent.2020.09.058</mixed-citation></citation-alternatives></ref><ref id="B5"><label>5.</label><citation-alternatives><mixed-citation xml:lang="en">Khechoyan DY. Orthognathic surgery: general considerations. Semin Plast Surg. 2013;27(3):133–136. doi: 10.1055/s-0033-1357109</mixed-citation><mixed-citation xml:lang="ru">Khechoyan D.Y. Orthognathic surgery: general considerations // Semin Plast Surg. 2013. Vol. 27, N 3. P. 133–136. doi: 10.1055/s-0033-1357109</mixed-citation></citation-alternatives></ref><ref id="B6"><label>6.</label><citation-alternatives><mixed-citation xml:lang="en">Payan Y, Chabanas M, Pelorson X, et al. Biomechanical models to simulate consequences of maxillofacial surgery. Comptes Rendus Biologies. 2002;325(4):407–417. doi: 10.1016/s1631-0691(02)01443-9</mixed-citation><mixed-citation xml:lang="ru">Payan Y., Chabanas M., Pelorson X., et al. Biomechanical models to simulate consequences of maxillofacial surgery // Comptes Rendus Biologies. 2002. Vol. 325, N 4. P. 407–417. doi: 10.1016/s1631-0691(02)01443-9</mixed-citation></citation-alternatives></ref><ref id="B7"><label>7.</label><citation-alternatives><mixed-citation xml:lang="en">Trivedi S. Finite element analysis: A boon to dentistry. J Oral Biol Craniofac Res. 2014;4(3):200–203. doi: 10.1016/j.jobcr.2014.11.008</mixed-citation><mixed-citation xml:lang="ru">Trivedi S. Finite element analysis: A boon to dentistry // J Oral Biol Craniofac Res. 2014. Vol. 4, N 3. P. 200–203. doi: 10.1016/j.jobcr.2014.11.008</mixed-citation></citation-alternatives></ref><ref id="B8"><label>8.</label><citation-alternatives><mixed-citation xml:lang="en">Ding X, Zhu X-H, Liao S-H, et al. Implant–bone interface stress distribution in immediately loaded implants of different diameters: a three-dimensional finite element analysis. J Prosthodont. 2009;18(5):393–402. doi: 10.1111/j.1532-849X.2009.00453.x</mixed-citation><mixed-citation xml:lang="ru">Ding X., Zhu X.-H., Liao S-H., et al. Implant–bone interface stress distribution in immediately loaded implants of different diameters: a three-dimensional finite element analysis // J Prosthodont. 2009. Vol. 18, N 5. P. 393–402. doi: 10.1111/j.1532-849X.2009.00453.x</mixed-citation></citation-alternatives></ref><ref id="B9"><label>9.</label><citation-alternatives><mixed-citation xml:lang="en">Dos Santos MBF, Da Silva Neto JP, Consani RLX, Mesquita MF. Three- dimensional finite element analysis of stress distribution in peri-implant bone with relined dentures and different heights of healing caps. J Oral Rehabil. 2011;38(9):691–696. doi: 10.1111/j.1365-2842.2011.02217.x</mixed-citation><mixed-citation xml:lang="ru">Dos Santos M.B.F., Da Silva Neto J.P., Consani R.L.X., Mesquita M.F. Three- dimensional finite element analysis of stress distribution in peri-implant bone with relined dentures and different heights of healing caps // J Oral Rehabil. 2011. Vol. 38, N 9. P. 691–696. doi: 10.1111/j.1365-2842.2011.02217.x</mixed-citation></citation-alternatives></ref><ref id="B10"><label>10.</label><citation-alternatives><mixed-citation xml:lang="en">Demenko V, Linetskiy I, Nesvit K, Shevchenko A. Ultimate masticatory force as a criterion in implant selection. J Dent Res. 2011;90(10):1211–1215. doi: 10.1177/0022034511417442</mixed-citation><mixed-citation xml:lang="ru">Demenko V., Linetskiy I., Nesvit K., Shevchenko A. Ultimate masticatory force as a criterion in implant selection // J Dent Res. 2011. Vol. 90, N 10. P. 1211–1215. doi: 10.1177/0022034511417442</mixed-citation></citation-alternatives></ref><ref id="B11"><label>11.</label><citation-alternatives><mixed-citation xml:lang="en">Cevidanes LH, Tucker S, Styner M, et al. Three-dimensional surgical simulation. Am J Orthod Dentofacial Orthop. 2010;138(3): 361–371. doi: 10.1016/j.ajodo.2009.08.026</mixed-citation><mixed-citation xml:lang="ru">Cevidanes L.H., Tucker S., Styner M., et al. Three-dimensional surgical simulation // Am J Orthod Dentofacial Orthop. 2010. Vol. 138, N 3. P. 361–371. doi: 10.1016/j.ajodo.2009.08.026</mixed-citation></citation-alternatives></ref><ref id="B12"><label>12.</label><citation-alternatives><mixed-citation xml:lang="en">Knoops PGM, Borghi A, Ruggiero F, et al. A novel soft tissue prediction methodology for orthognathic surgery based on probabilistic finite element modelling. PLoS One. 2018;13(5):e0197209. doi: 10.1371/journal.pone.0197209</mixed-citation><mixed-citation xml:lang="ru">Knoops P.G.M., Borghi A., Ruggiero F., et al. A novel soft tissue prediction methodology for orthognathic surgery based on probabilistic finite element modelling // PLoS One. 2018. Vol. 13, N 5. P. e0197209. doi: 10.1371/journal.pone.0197209</mixed-citation></citation-alternatives></ref><ref id="B13"><label>13.</label><citation-alternatives><mixed-citation xml:lang="en">Boryor A, Hohmann A, Wunderlich A, et al. Use of a modified expander during rapid maxillary expansion in adults: An in vitro and finite element study. Int J Oral Maxillofac Implants. 2013;28(1): e11–16. doi: 10.11607/jomi.2078</mixed-citation><mixed-citation xml:lang="ru">Boryor A., Hohmann A., Wunderlich A., et al. Use of a modified expander during rapid maxillary expansion in adults: An in vitro and finite element study // Int J Oral Maxillofac Implants. 2013. Vol. 28, N 1. P. e11–16. doi: 10.11607/jomi.2078</mixed-citation></citation-alternatives></ref><ref id="B14"><label>14.</label><citation-alternatives><mixed-citation xml:lang="en">MacGinnis M, Chu H, Youssef G, et al. The effects of micro-implant assisted rapid palatal expansion (MARPE) on the nasomaxillary complex — a finite element method (FEM) analysis. Prog Orthod. 2014;15(1):52. doi: 10.1186/s40510-014-0052-y</mixed-citation><mixed-citation xml:lang="ru">MacGinnis M., Chu H., Youssef G., et al. The effects of micro-implant assisted rapid palatal expansion (MARPE) on the nasomaxillary complex — a finite element method (FEM) analysis // Prog Orthod. 2014. Vol. 15, N 1. ID 52. doi: 10.1186/s40510-014-0052-y</mixed-citation></citation-alternatives></ref><ref id="B15"><label>15.</label><citation-alternatives><mixed-citation xml:lang="en">Seong E-H, Choia S-H, Kimc H-J, et al. Evaluation of the effects of miniscrew incorporation in palatal expanders for young adults using finite element analysis. Korean J Orthod. 2018;48(2):81–89. doi: 10.4041/kjod.2018.48.2.81</mixed-citation><mixed-citation xml:lang="ru">Seong E.-H., Choia S.-H., Kimc H.-J., et al. Evaluation of the effects of miniscrew incorporation in palatal expanders for young adults using finite element analysis // Korean J Orthod. 2018. Vol. 48, N 2. P. 81–89. doi: 10.4041/kjod.2018.48.2.81</mixed-citation></citation-alternatives></ref></ref-list></back></article>
