DOI:

10.37988/1811-153X_2024_2_40

Mathematical substantiation of fixation and stability of fixed prostheses on implants

Authors

  • V.Yu. Lapushko 1, postgraduate at the Prosthodontics and general dentistry Department
    ORCID ID: 0000-0001-6539-3405
  • D.V. Sorokin 1, PhD in Medical Sciences, professor of the Prosthodontics and general dentistry Department
    ORCID ID: 0000-0003-2043-2874
  • S.S. Abakarova 1, PhD in Medical sciences, associate professor of the Prosthodontics and general dentistry Department
    ORCID ID: 0000-0001-9483-6092
  • A.V. Starodubova 2, PhD in Medical Sciences, dentist
  • D.S. Abakarova 1, PhD in Medical Sciences, associate professor of the General and surgical dentistry Department
  • T.N. Novozemtseva 1, PhD in Medical Sciences, full professor of the Therapeutic dentistry Department
  • I.V. Kruter 1, PhD in Medical Sciences, associate professor of the General and surgical dentistry Department
  • 1 Russian Medical Academy of Continuous Professional Education, 125993, Moscow, Russia
  • 2 Central Research Institute of Dental and Maxillofacial Surgery, 119021, Moscow, Russia

Abstract

It was found that the fixation and stability of fixed prostheses on implants are interrelated with the degree of inclination of the walls of the supporting abutments. Using mathematical analysis, the dependence of the angle of inclination of the abutment wall on its height was determined in order to achieve optimal passive packing, a theoretical justification of the stability of the crown from tipping was carried out depending on the angle of inclination of the abutment walls, their transverse width at the base and height.

Key words:

dental implantation, passive packing of a non-removable prosthesis, angle of inclination of the walls of the abutment, fixation and stability of non-removable prostheses

For Citation

[1]
Lapushko V.Yu., Sorokin D.V., Abakarova S.S., Starodubova A.V., Abakarova D.S., Novozemtseva T.N., Kruter I.V. Mathematical substantiation of fixation and stability of fixed prostheses on implants. Clinical Dentistry (Russia).  2024; 27 (2): 40—44. DOI: 10.37988/1811-153X_2024_2_40

References

  1. Mosharraf R., Abbasi M., Givehchian P. The effect of abutment angulation and crown material compositions on stress distribution in 3-unit fixed implant-supported prostheses: A finite element analysis. Int J Dent. 2022; 2022: 4451810. PMID: 36065400
  2. Strauss F.J., Siegenthaler M., Hämmerle C.H.F., Sailer I., Jung R.E., Thoma D.S. Restorative angle of zirconia restorations cemented on non-original titanium bases influences the initial marginal bone loss: 5-year results of a prospective cohort study. Clin Oral Implants Res. 2022; 33 (7): 745-756. PMID: 35570366
  3. de Aguiar Vilela Júnior R., Aranha L.C., Elias C.N., Martinez E.F. In vitro analysis of prosthetic abutment and angulable frictional implant interface adaptation: Mechanical and microbiological study. J Biomech. 2021; 128: 110733. PMID: 34530293
  4. López-Jarana P., Díaz-Castro C.M., Falcão A., Ríos-Carrasco B., Fernandez-Palacín A., Ríos-Santos J.V., Herrero-Climent M. Is it possible to monitor implant stability on a prosthetic abutment? An in vitro resonance frequency analysis. Int J Environ Res Public Health. 2020; 17 (11): 4073. PMID: 32521612
  5. Lee M.Y., Heo S.J., Park E.J., Park J.M. Comparative study on stress distribution around internal tapered connection implants according to fit of cement- and screw-retained prostheses. J Adv Prosthodont. 2013; 5 (3): 312-8. PMID: 24049573
  6. Abakarov S.I., Sorokin D.V., Lapushko V.Y., Nikiforova K.I. Analysis of the fit quality of the metal frames on implants depending on the abutment taper. Stomatology. 2021; 6: 56-60 (In Russian). eLIBRARY ID: 47402457
  7. Safari S., Hosseini Ghavam F., Amini P., Yaghmaei K. Effects of abutment diameter, luting agent type, and re-cementation on the retention of implant-supported CAD/CAM metal copings over short abutments. J Adv Prosthodont. 2018; 10 (1): 1-7. PMID: 29503708
  8. Mishra K., Singh P., Noorani M.K., Adarsh K., Kalburgi M.N., Mallik M. Evaluation of change in implant abutment after teeth surface modifications. Bioinformation. 2021; 17 (1): 157-161. PMID: 34393431
  9. Rosas J., Mayta-Tovalino F., Malpartida-Carrillo V., Degregori A.M., Mendoza R., Guerrero M.E. Effect of abutment geometry and luting agents on the vertical marginal discrepancy of cast copings on implant abutments: An in vitro study. Int J Dent. 2021; 2021: 9950972. PMID: 34239569
  10. Ali A.O., Kelly J.R., Zandparsa R. The influence of different convergence angles and resin cements on the retention of zirconia copings. J Prosthodont. 2012; 21 (8): 614-21. PMID: 22823334
  11. Rodriguez L.C., Saba J.N., Meyer C.A., Chung K.H., Wadhwani C., Rodrigues D.C. A finite element analysis of novel vented dental abutment geometries for cement-retained crown restorations. Clin Exp Dent Res. 2016; 2 (2): 136-145. PMID: 29744160
  12. Rödiger M., Rinke S., Ehret-Kleinau F., Pohlmeyer F., Lange K., Bürgers R., Gersdorff N. Evaluation of removal forces of implant-supported zirconia copings depending on abutment geometry, luting agent and cleaning method during re-cementation. J Adv Prosthodont. 2014; 6 (3): 233-40. PMID: 25006388
  13. Yoon S.S., Cheong C., Preisser J. Jr, Jun S., Chang B.M., Wright R.F. Measurement of total occlusal convergence of 3 different tooth preparations in 4 different planes by dental students. J Prosthet Dent. 2014; 112 (2): 285-92. PMID: 24726595
  14. Rathod A., Jalaluddin M., Shrinivas, Devadiga T.J., Jha S., Alzahrani K.M. Geometry of implant abutment surface improving cement effectiveness: An in vitro study. J Pharm Bioallied Sci. 2021; 13 (Suppl 2): S1093-S1097. PMID: 35017936
  15. Tiu J., Al-Amleh B., Waddell J.N., Duncan W.J. Clinical tooth preparations and associated measuring methods: a systematic review. J Prosthet Dent. 2015; 113 (3): 175-84. PMID: 25449611
  16. Choi K.H., Son K., Lee D.H., Lee K.B. Influence of abutment height and convergence angle on the retrievability of cement-retained implant prostheses with a lingual slot. J Adv Prosthodont. 2018; 10 (5): 381-387. PMID: 30370030
  17. Zhao L., Weigl P., Wu Y., Xu Y. In vitro study of bond strength between abutments with different degrees of convergence and crowns by pre-bonding method. Int J Oral Maxillofac Implants. 2019; 34 (1): 25-30. PMID: 30695084
  18. Schriwer C., Gjerdet N.R., Arola D., Øilo M. The effect of preparation taper on the resistance to fracture of monolithic zirconia crowns. Dent Mater. 2021; 37 (8): e427-e434. PMID: 33910755

Received

March 12, 2024

Accepted

May 6, 2024

Published on

June 28, 2024