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268. Imanaka-Yoshida K, Yoshida Toshimichi, Miyagawa-Tomita Sachiko (2014) Tenascin-C in development and disease of blood vessels. The Anatomical Record 297 (9) : 1747-1757.
9. Gaber Rania, Ibrahim Wesam Salah, Nofal Hanaa El-sayed, Mahran Dina Shafik Value of serum tenascin-C in patients with acute myocardial infarction.
Electronic research :
http ://www. sciencedirect. com/science/article/pii/ S209050681500072X
10. Yao H.C. Han QF, Zhao AP, Yao DK, Wang LX. (2013) Prognostic values of serum tenascin-C in patients with ischaemic heart disease and heart failure. Heart Lung Circulation 22 (3) : 184-187.
MATHEMATICAL MODELING OF THE STRESS-STRAIN STATE OF BONE TISSUE USING INTRAOSSEOUS DENTAL IMPLANTS. (LITERATURE REVIEW)
Savransky Ph.
MD, professor, Department of General Dentistry, University of Jerusalem, Jerusalem, Israel
Grishin P.
Candidate of Medical Sciences, Associate Professor of the Department of Maxillofacial Surgery, GOU VPO
Kazan State Medical University, Kazan, Russia
Simakhov R.
Assistant of the Department of Maxillofacial Surgery, Omsk State Medical Academy of the Ministry of
Health, Omsk, Russia
Khaikin M.
Candidate of Medical Sciences, Assistant of the Department of Maxillofacial Surgery and Dentistry of the Samara State Medical University, Chief Medical Officer of the City Clinical Hospital of the Samara City Dental
Clinic No. 1, Samara, Russia Chigarina S.
Candidate of Medical Sciences, Associate Professor of the Department of Therapeutic Dentistry, Samara
State Medical University, Samara, Russia
Kalinnikova E.
student of the stomatological faculty, GOU VPO Kazan State Medical University, g. Kazan, Russia
Abstract
In this article, we give a brief review of the literature on the use of the method of mathematical modeling of stress-strain state and finite-element analysis during dental implantation. Based on the analysis, it was concluded that the application of this method in practice will make the implantation process and further prosthetics more reliable and predictable, especially in atypical clinical situations.
Keywords: implantation, mathematical modeling, stress-strain state, finite element analysis.
The biomechanical aspects of planning implantation and the functioning of intraosseous implants have not been adequately studied. This is due to the difficulty in measuring in vivo stresses in bone tissue when loading both the teeth and implants. Gnathodynamometric, strain-gauge, frequency-resonance measurements (RFA) give a relative and local view of the stress-strain state (VAT) in bone tissue with implant loads.
The most informative and promising experimental method for studying jaw biomechanics is three-dimensional mathematical modeling of the stress-strain state in various clinical situations during implantation [1, p.11; 2, p.103].
Work in this direction is based on mathematical models and calculations of different levels of complexity and compliance with clinical conditions give conflicting results on the magnitude and nature of stress in bone tissue [3, p.34; 4, p. 58; 5, p. 47].) In this case, it is rare in an identical model to compare the biomechan-ical parameters with the load of the intact dentition and in the presence of implants [6, p. 106]
Three-dimensional mathematical modeling of the stress-strain state of bone tissue around the implants is an informative tool for biomechanical planning of the number, size of implants, features of the surgical stage
and prosthetics based on the established values of maximum stresses (nomograms) depending on the volume of bone tissue (according to computed tomography) and the size of the implants [7, p.29].
In their work [8 ,p.34], data from the results of three-dimensional mathematical modeling of the state of the cortical bone around the dental implants in different parts of the dentition are cited. At the same time, the study demonstrated the possibilities of modern three-dimensional modeling of VAT in implantology using the example of implant biomechanics in different parts of the jaw in standard conditions. The authors came to the conclusion about the possibility of individual changes in jaw parameters and places of planned implant placement for predicting maximum stresses in bone tissue.
The majority of authors [9, p. 28; 10.20p; 11, p. 177] believe that the most informative and promising experimental method for studying biomechanics in dentistry and implantology is three-dimensional mathematical modeling of stress-strain state under various atypical clinical conditions.
The studies carried out in this direction on the creation of a mathematical model of stress-strain state did not always take into account the level of complexity of implantation in a particular clinical situation. This is
likely and explains the contradictory results of the main characteristics of the stresses surrounding the implant of bone tissue [12, 22 p.; 13, p. 307; 14, p. 127.]
In the opinion of [15, 197p.], experimental mathematical calculations of the stress-strain state in teeth, bone tissues and prosthetic structures should be carried out under the conditions of a single jaw model in connection with a significant effect on the magnitude of stresses in a separately researched area, the extent of their spread to other departments jaws. A mathematical model built on the basis of the individual characteristics of a particular patient makes it possible to simulate various situations and obtain data for subsequent analysis. At the same time, analysis of stress distribution in the finite element model for various types of load makes it possible to determine the optimal design of the dental intraosseous implant, the location of the supporting elements of the implant, the necessity of fixing them [16, p. 1412].
The effect of dental prostheses on the supporting implants and the alveolar ridge, determined using a mathematically finite element model, allow optimizing the process of selecting the type of implantation systems, which in turn will improve the patient's quality of life [17, p. 112; 18, p. 96].
A number of authors suggest using the method of mathematical modeling to assess the possibility of using teeth as a support, depending on the degree of their tilt. The use of this technique makes it possible to estimate the possibility of using teeth that incline under the support of non-removable structures on the basis of numeric indices [19, p.63].
At present, the search for the optimal implant design is carried out primarily in an analytical way. For this, computer programs of two- and three-dimensional mathematical modeling are used [20, p.20; 21.27p.; 22, 335p.]. Such studies, taking into account the biome-chanical characteristics of the bone, implant and prosthetic design, enable you to play different situations and obtain data for comparing stress levels, compression and adhesion forces inside and around the implant [23, p.34; 24, p. 50]
Using the finite elements method (FEM), it is possible to determine the problem areas of jaw sites with dental implants, characterized by a high concentration of stresses, which are expedient for use in temporary and permanent prosthetics. It is very important to determine the critical (permissible) loads on the newly created design [25, p.7].
The mathematical model of "removable prosthesis - implant-bone" with variable parameters of bone size and density has been developed, which allows studying the biomechanical bases of interaction of the mandibular bone structure with complete removable prostheses of various designs and fixing them with dental in-traosseous implants [26, 45p].
In the opinion of [27, p. 49], mathematical modeling and finite element analysis are the most promising and affordable for solving the problems of the biome-chanical substantiation of the construction of plate prostheses that overlap intraosseous implants. An individual approach that ensures biomechanical
compatibility of the implant system and bone, an increase in the reliability of fixation and the durable functioning of the prosthesis cannot be carried out without revealing the patterns of the stress-strain state of the tissues surrounding the dental implant and the elements of the removable prosthesis, a safe load level for bone remodulation [28, 270p.; 29 p.49 ].
In studies on the evaluation of bone stress in implant placement, the simplest models are found that simplify the bone to some cylindrical pocket framing the tooth [30, p. 32] sections of bone and crown in the form of a cube [31, p.37]), and models that take into account the real geometry of the jaw [32. p. 102].
Including the analysis of the stressed-deformed state of the human jaw in the Minics program. The undoubted advantage of this program is the ability to discretely specify the modulus of elasticity of tissues depending on the characteristics of images of computed tomography, which allows to take into account the porous structure of the spongy bone and the Young's modulus variation depending on the density [30, p.32]
The method of mathematical modeling of the stress-strain state with finite elements [3, p.34] was used to study the mechanism of the orthodontic movement of the teeth. The authors found that the orthodontic movement of the teeth is achieved by modeling the processes of the alveolar bone, which are caused by changes in the distribution of stress (deformation) in the periodontitis of the teeth during orthodontic treatment.
On the three-dimensional mathematical model the stress-deformed state of the system "dental implant -bone tissue of the jaw" was studied by the finite element analysis for various sizes of the intraosseous part of the implant. At the same time, data were obtained on the patterns of stress distribution in the dental implant system-the jaw bone [33, 24p.].
Using three-dimensional mathematical modeling (FEM) [7, 157p.] calculated the level of functional stresses in cortical and spongy bone tissue around the intraosseous implant with different volumes and thicknesses in the neck area of the implant. Comparison of the maximum stresses with the limits of bone strength, biomechanics, the indications for bone implantation in the implant zone are substantiated.
In his work [34, p. 148] we considered a mathematical model for assessing the effect of implants on bone tissue by the finite element method and applying mathematical modeling in dental implantology. It was concluded that due to the use of such methods, dental im-plantology and prosthetics achieve high accuracy in the installation and choice of the prosthesis design and help to establish the chosen structures knowingly correctly.
With the help of mathematical modeling and finite element analysis [35, 27p.] he theoretically substantiated the possibility of using temporary non-removable dentures with support for temporary implants.
As a result of scientific research, the stress-strain state (VAT), strength and rigidity of the temporal design of the dental prosthesis on the temporary dental implant "MINI" was made.
Of particular interest is the work on the study of the stress-strain state of bone tissue around the in-traosseous part of cylindrical implants using a two-
bearing bridge structure at different load angles [36, p.3; 37, p. 85]. According to the authors, the study of the impact of the intra-osseous part of the implant on the cortical layer of bone tissue with its various geometric parameters and angles of transfer of the load is necessary for developing practical recommendations for planning treatment with dental implants.
In the conditions of three-dimensional mathematical modeling [9, 28p.] Received the characteristics of VAT in the transdental implant of titanium nickelide with the effect of tooth molding and the underlying bone tissue under vertical and horizontal load, stress concentration zones in the tooth-alveolar complex and implant were determined.
According to [38, p.14], the influence of biome-chanical factors revealed during mathematical modeling of the stressed-deformed state of ceramic crowns is confirmed by unsatisfactory remote clinical results of crown functioning in the absence of disianiserization of patients and under unfavorable conditions of their load.
In the opinion of several authors, the three-dimensional mathematical modeling of the stress-strain state in bone tissue around dental implants, including taking into account individual biomechanical characteristics from computed tomography, improves the accuracy of predicting implantation efficiency and justifies the optimal plan for implant treatment [39, 148p .; 40, p.140; 41, p.85]
Particular attention should be paid to the recent publications on the qualitative and quantitative assessment of the mechanism of the osseointegration process in the tissue-engineering "implant-bone" system from the standpoint of systemic biology and biological cybernetics [42, p.18]).
Thus, a brief review of available literature shows that in recent years, more and more attention of researchers has been attracted by the method of mathematical modeling when introducing new implantation systems into practice. The finite element analysis of the stress-strain state in the implant itself, in the surrounding bone tissues, as well as in the place of abutment connection with the implant reveals high stress zones or comparable to the destruction threshold of structural materials and bone. At the same time, we did not find a publication with examples of individual scheduling of implant system selection and appropriate suprastruc-tures, as well as implantation methods based on situa-tional mathematical modeling.
REFERENCES:
1. Revyakin AV, Nikolsky Yu. V., Popov VF Investigation of the stress-strain state in the prosthesis system-lower jaw on the implants. Part 2. // Maestro of stomatology - 2007; 1: 25: p. 11-22.
2. Razumny VA Comparison of Clinical Efficiency and Biomechanics of Intra- and Extraoral Locking Fixations of Removable Dentures // Dis. Cand. med. Sciences. - M.-2004.-103c
3. Cattaneo P.M. Dalstra M Melsen B. The finite element method of a tool to study orthodontic tooth movement // J. Dent Res- 2005- No. 84: 5- P. 428-433.
4. Mirgazizov AI, Izakson MV Finite-element analysis of the stressed-deformed state of dental implants and the surrounding bone tissue with inaccurate planting of cast carcasses. / / Russian Journal of Dental Implantology. -2003.-№3. 4.- P. 58-61.
5. 5 Olesova VN Biomechanics of implants according to the results of volumetric mathematical modeling // VN. Olesova, I.A. Maslov .// Clinical implantology and stomatology. 2000.- №3-4. P. 47-52.
6. Silaev EV, Schepinov VI, Kuznetsov AV Comparative three-dimensional modeling of the stressstrain state of the cortical bone of the mandible with implant loading in the lateral and frontal parts of the dentition // Conference materials Implantation in dentistry and maxillo- facial surgery Minsk .- 2009- P. 106.
7. Markin VA Diagnostic and prognostic resources of modern methods of clinical and biomechan-ical evaluation of intraosseous dental implants. Dis. Dr. med. sciences. М., - 2006.-157p.
8. Sukharev M. Study of the biomechanical interaction of implants and bone by mathematical modeling / M Sukharev, A. Bobrov // Clinical implantology, histology. -1997. №2.С.34-37.
9. Kosogorsky AV Features of the biomechanics of the clinical effectiveness of transdental implants from titanium alloy with the effect of mold recovery. Author's abstract. dis. med. sciences. - M., 2006. 28p.
10. Konovalenko V. G. Biomechanical substantiation of non-removable orthopedic structures in the treatment of patients with dentition defects, complicated by deformation. / / Author's abstract. Cand. med. Sciences // Volgograd, - 2009-20p.
11. Ackermann K. L., Wenz B. Lateral Kammaugmentationen mit blocktransplantaten und konturierung mit knochenersaiz Fallprasentationen // Implantologie-2004.-No. 2. Vol. 12-P. 177-189.
12. Khvan VI. Laboratory-experimental substantiation of orthopedic treatment with dental prostheses based on fiberglass and zirconia zirconium suprastruc-tures / / Author's abstract. dis. Cand. Med. Sciences. -Moscow.-2010- 22p.
13. Cozzolino A., Ruggiero G., Veltri M. Use of short implants for functional restoration of the mandible after giant cell tumor removal. Case report // Minerva stomatol - 2006-No. 55- vol 5- P. 307-314.
14. Frost H. M. Mathematical Elements of Lamellar Bone Remodeling // CC Thomas: Springfield 1964-127p.
15. Zhuruli GN Biomechanical factors of the effectiveness of intraosseous dental implants (experimental and clinical study). Dis. Doctor rmed. Sciences: Moscow, 2010. 197p.
16. Monakov D. V. Construction of a mathematical model of the stress-strain state of the jaw during dental implantation in conditions of bone deficit tissue. Proceedings of the Samara Scientific Center of the Russian Academy of Sciences, 2014 volume 16, No. 5. (4) .C.1412-1415.
17. Lazarev SA, Masagutov RR Study of the distribution of internal stresses in the alveolar processes of the jaws in the manufacture of bridges in the tooth-implant-tooth system. Institute of Dentistry .- 2014. №1 (62) -P. 112-113 ..
18. Lazarev S.A., Lazarev V.A. Study of the distribution of internal stresses on the mathematical model "non-removable prosthesis - intraosseous implants". Institute of Stomatology-2014, - №4. (65); P. 96-97.
19. Koroeva MO, Dzaraeva ZR Application of the method of mathematical modeling to assess the possibility of using teeth as a support, depending on the degree of their tilt. Journal of Scientific Articles Health and Education in the 21st Century .- 1999. P.63-65.
20. Vorobiev VA Choice of the design of dentures and implantation systems based on software mathematical modeling in the treatment of patients with various dentition defects: Aftoref. dis. Dr. med. sciences. -Omsk, 1997. 20s.
21. Borisov AG Influence of the direction of the forces of the masticatory load on the supporting tissues during prosthetics of patients with the use of implants. Author's abstract. Dis. Cand.med. Sciences: Moscow,
2002.-27p.
22. Gvetadze R. Sh. Clinico-functional and bio-mechanical substantiation of orthopedic methods of treatment of patients in dental implantology: Dis. Dr. med.Sciences .-M.,- 2001. 335p.
23. Matveeva AI, Gavryushin SS, Borisov AG The use of mathematical modeling in the design of prosthetic structures with support for intraosteal dental implants. / / Russian Journal of Dental Implantology.-
2003.-P. 34-37.
24. Olesova VN, Silaev EV, Magamedkhanov Yu. M., Rogatnev VP, Kiselev AS, Kuznetsov AV Stressstrain state of cortical bone tissue under the conditions of the three-dimensional mathematical model of the lower jaws with the load of the intraosseous implant in the frontal region. // Surgeon-2009.-№7.- P. 50-53.
25. Polyakova TV, Chumachenko Ye. N., Arutyunov SD Features of mathematical modeling of the segment of the maxillary system according to computed tomography. The Russian bulletin of dental implantology - 2014.- № 1 (29); P. 7-13.
26. Shashmurina VR, Chumachenko EN Mathematical modeling in the planning of orthopedic treatment of patients with complete absence of teeth on the lower jaw. Moscow 2006.- 45p.
27. Shashmurina VR, Chumachenko Ye. N., Vo-lozhin AI Mathematical substantiation of the application of rigid and semi-labile fixation of complete 288 removable prostheses on intraosteal implants. / Russian Dental Journal - 2007 - № 5.-P. 14--17.
28. Chumachenko E. N., Arutyunov S. D., Lebe-denko I. Yu. Mathematical modeling of stress-strain state of dentures. -M .: Young Guard .- 2003.-270p.
29. Chumachenko EN, Volozhin AI, Markin VA Biomechanical model and technique for calculating the stress-strain state of the periodontal complex of the mandible // High technology -2001; №1- т.2-: P . 4960.
30. Chuyko AN, Vovk VE On the role and possibilities of biomechanical analysis in implantology // Dentist. - 2004.- №6- P. 32-37; №7- P. 32-34.
31. Chuyko, A. N. On the possibilities of finite element modeling in orthopedic dentistry. Dentist. 2000.-No. 3.- P. 37-38.
32. Nyashin Yu. I., Rogozhnikov GI, Rogozhni-kov AI, Nikitin VN, Astashina NB Biomechanical analysis of dental implants from titanium and zirconium dioxide. // Russian Journal of Biomechanics.-2012;- 16,- No. 1 (55): - P. 102-109.
33. Unanyan V. Ye. Perfection of the technology of determining the rigidity of dental implant fixation //Authors abstract. dis. Cand.med. Sciences - Moscow, - 2009-24p.
34. Proshkina EN, Merkuliev IS, Merkulieva KS Modern technologies. Х11 International Scientific and Practical Conference, MCSS "Science and Education .2017. P. 148-151.
35. Shirokov I. Yu. The experimental substantiation of the use of temporary non-removable dentures in dental implantation. Author's abstract. dis. Cand.med. Sciences: Moscow, 2013. 27 p.
36. Olesova VN, Kiselev AS, Shchepikov VP, Grossman VM, Magamedkhanov AV, Kuznetsov AV Perevoznikov V. I. Optimization of dental implant planning based on three-dimensional mathematical modeling of the VAT of the lower jaw. Experimental-theoretical implantation. -2011, - №1. (23); P. 3-6.
37. Semenov EI, Sennikov ON, Potapenko AI, DV Lazareva. Calculation of a two-bearing bridge structure on dental implants in the lateral portion of the lower jaw. Innovations in dentistry. - 2014. - №3. -P. 85-89.
38. Rogatnev V.P., Olesova V.N., Kosogorsky A.V. Biomechanical aspects of substitution of a tooth defect with destruction of occlusal tubercles by a tab from keromer // Russian Dental Journal- 2006.-No2.-P.14-16.
39. Veng J., Van W., Xu W. Application of the finite element method in implant dentistry. Zheijang university press .- 2008.-148p.
40. Olesova VN, Dubinsky SI, Bronshtein DA, Magamedkhanov Yu. M., Kashchenko PV, Yuffa EP Comparative mathematical modeling of strength and deformed parameters of cermets with screw and cement fixation to the implants. The Kuban scientific bulletin .- 2013.-№6.- (141) .P.140-142.
41. Revyakin AV, Bolonkin VP, Bolonkin IV Investigation of the stress-strain state in the prosthesis system lower jaw on implants. Part 1 // Maestro of Dentistry -2006-4: 24.- P.85-92.
42. Zekii AO, Shirokov AA Investigation of the structure of interactions in the "implant-bone" system. Bulletin of new medical technologies.-2016.- Vol.23, No. 4.-P.18-23.
