Assessment of the cartilage transplant thickness after removing of the tympanic membrane retraction pocket (finiteelement modelling)

  • Sergei M. Bosiakov Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus
  • Kirill S. Yurkevich Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus
  • Gennady I. Mikhasev Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus
  • Lyudmila G. Petrova Belarusian Medical Academy of Post-Graduate Education, 3 P. Broŭki Street, 3 building, Minsk 220013, Belarus
  • Marina M. Maisyuk Republican Scientific and Practical Centre of Otolaryngology, 8 Suhaja Street, Minsk 220004, Belarus
DOI: https://doi.org/10.33581/2520-6508-2021-1-69-78

Abstract

The retraction pocket emergence of the tympanic membrane (eardrum) leads to the sound conduction disorder of the middle ear. Surgical removal of fixed retraction pockets leads to perforations. A cartilage grafts in the region of these perforations are installed. The aim of the study is to assess the geometric parameters of the cartilage graft, providing sound conductivity of the middle ear oscillatory system corresponding the auditory functions of the normal middle ear. The evaluation of the geometric parameters of the cartilage graft is carried out on the basis of the middle ear finite-element model. The eigenfrequencies are utilized as quantities characterizing the auditory conductivity of the middle ear oscillatory system. The thickness of the graft attached on the posterosuperior quadrant after removal of the fixed retraction pocket is 0.193 ± 0.031 mm. It is evaluated on basis of comparative analysis of the middle ear eigenfrequency spectra in normal conditions, the middle ear with attached cartilaginous grafts of different thicknesses. The obtained results can be used for planning of surgical operations to restore the integrity of the tympanic membrane and improve auditory conductivity.

Author Biographies

Sergei M. Bosiakov, Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus

doctor of science (physics and mathematics), docent; dean of the faculty of mechanics and mathematics

Kirill S. Yurkevich, Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus

PhD (physics and mathematics), docent; associate professor at the department of bio- and nanomechanics, faculty of mechanics and mathematics

Gennady I. Mikhasev, Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus

doctor of science (physics and mathematics), full professor; head of the department of bio- and nanomechanics, faculty of mechanics and mathematics

Lyudmila G. Petrova, Belarusian Medical Academy of Post-Graduate Education, 3 P. Broŭki Street, 3 building, Minsk 220013, Belarus

doctor of science (medicine), full professor; head of the department of otolaryngology, faculty of surgery

Marina M. Maisyuk, Republican Scientific and Practical Centre of Otolaryngology, 8 Suhaja Street, Minsk 220004, Belarus

PhD (medicine); head of the department of otorhinolaryngology for children, in-patient hospital

References

  1. Mierzwiński J, Fishman AJ. Retraction pockets of tympanic membrane: protocol of management and results of treatment. Otorynolaryngologia. 2014;13(2):114–121.
  2. Cassano M, Cassano P. Retraction pockets of pars tensa in pediatric patients: clinical evolution and treatment. International Journal of Pediatric Otorhinolaryngology. 2010;74(2):178–182. DOI: 10.1016/j.ijporl.2009.11.004.
  3. Ching HH, Spinner AG, Ng M. Pediatric tympanic membrane cholesteatoma: systematic review and meta-analysis. International Journal of Pediatric Otorhinolaryngology. 2017;102:21–27. DOI: 10.1016/j.ijporl.2017.08.027.
  4. Couloigner V, Molony N, Viala P, Contencin P, Narcy P, Van Den Abbeele T. Cartilage tympanoplasty for posterosuperior retraction pockets of the pars tensa in children. Otology and Neurotology. 2003;24(2):264–269. DOI: 10.1097/00129492-200303000-00022.
  5. Dornhoffer JL. Cartilage tympanoplasty. Otolaryngologic Clinics of North America. 2006;39(6):1161–1176. DOI: 10.1016/j.otc.2006.08.006.
  6. Mürbe D, Zahnert T, Bornitz M, Hüttenbrink K-B. Acoustic properties of different cartilage reconstruction techniques of the tympanic membrane. Laryngoscope. 2002;112(10):1769–1776. DOI: 10.1097/00005537-200210000-00012.
  7. Ermochenko SA, Mikhasev GI, Petrova LG. Calculation of the strain-stress state of the middle ear under its total reconstruction taking into account the influence of the tympanic membrane remnants. Rossiiskii zhurnal biomekhaniki. 2008;12(3):24–36. Russian.
  8. Begun PI, Grachev KV, Le Dang Kao. Modeling springy characteristic of the sound-transfer system in rate and pathology. Sensornye sistemy. 2004;18(3):206–210. Russian.
  9. Begun PI. [Biomechanical modeling of middle ear structures in applied software in normal conditions, with pathological changes, after correction and reconstruction]. Folia Otorhinolaryngologiae et Pathologiae Respiratoriae. 2013;19(3):43–49. Russian.
  10. Funnell WR, Khanna SM, Decraemer WF. On the degree of rigidity of the manubrium in a finite-element model of the cat eardrum. The Journal of the Acoustical Society of America. 1992;91(4):2082–2090. DOI: 10.1121/1.403694.
  11. Beer H-J, Bornitz M, Hardtke HJ, Schmidt R, Hofmann G, Vogel U, et al. Modeling of components of the human middle ear and simulation of their dynamic behaviour. Audiology and Neurotology. 1999;4(3–4):156–162. DOI: 10.1159/000013835.
  12. Lee C-F, Hsu L-P, Chen P-R, Chou Y-F, Chen J-H, Liu T-C. Biomechanical modeling and design optimization of cartilage myringoplasty using finite element analysis. Audiology and Neurotology. 2006;11(6):380–388. DOI: 10.1159/000095900.
  13. Lee C-F, Chen J-H, Chou Y-F, Hsu L-P, Chen P-R, Liu T-C. Optimal graft thickness for different sizes of tympanic membrane perforation in cartilage myringoplasty: a finite element analysis. Laryngoscope. 2007;117(4):725–730. DOI: 10.1097/mlg.0b013e318031f0e7.
  14. Yu-Hsuan Wen, Lee-Ping Hsu, Peir-Rong Chen, Chia-Fone Lee. Design optimization of cartilage myringoplasty using finite element analysis. Tzu Chi Medical Journal. 2006;18(5):370–377. DOI: 10.6440/TZUCMJ.200610.0370.
  15. Mikhasev G, Bosiakov S, Petrova L, Maisyuk M, Yurkevich K. Assessment of eigenfrequencies of the middle ear oscillating system: effect of the cartilage transplant. In: Awrejcewicz J, editor. Dynamical systems: modeling; 2015 December 7–10; Łódź, Poland. Cham: Springer; 2016. p. 243–254. (Springer proceedings in mathematics and statistics; volume 181). DOI: 10.1007/978-3-319-42402-6_21.
  16. Mikhasev GI, Bosiakov SM, Yurkevich KS, Dutina AA, Petrova LG, Maisyuk MM. Graft thickness assessment for surgery of retraction pocket of the middle ear based on finite-element analysis of eigenfrequencies of the eardrum oscillating system. Journal of the Belarusian State University. Mathematics and Informatics. 2017;2:52–58. Russian.
  17. Mareev GO. Modern mathematical models of middle ear (review). Saratov Journal of Medical Scientific Research. 2012; 8(1):96–100. Russian.
  18. Aernouts J, Couckuyt I, Crombecq K, Dirckx JJJ. Elastic characterization of membranes with a complex shape using point indentation measurements and inverse modeling. International Journal of Engineering Science. 2010;48(6):599–611. DOI: 10.1016/j.ijengsci.2010.02.001.
  19. Pengpeng Xie, Yong Peng, Junjiao Hu, Shengen Yi. A study on the effect of ligament and tendon detachment on human middle ear sound transfer using mathematic model. Proceedings of the Institution of Mechanical Engineers. Part H: Journal of Engineering in Medicine. 2019;233(8):784–792. DOI: 10.1177/0954411919853364.
  20. Gan RZ, Feng B, Sun Q. Three-dimensional finite element modeling of human ear for sound transmission. Annals of Biomedical Engineering. 2004;32(6):847–859. DOI: 10.1023/B:ABME.0000030260.22737.53.
  21. Sun Q, Chang K-H, Dormer KJ, Dyer RK Jr, Gan RZ. An advanced computer-aided geometric modeling and fabrication method for human middle ear. Medical Engineering and Physics. 2002;24(9):595–606. DOI: 10.1016/s1350-4533(02)00045-0.
  22. Koike T, Wada H, Kobayashi T. Modeling of the human middle ear using the finite-element method. The Journal of the Acoustical Society of America. 2002;111(3):1306–1317. DOI: 10.1121/1.1451073.
  23. Wever EG, Lawrence M. Physiological acoustics. Princeton: Princeton University Press; 2016. 476 p.
  24. Areias B, Santos C, Jorge RMN, Gentil F, Parente MPL. Finite element modeling of sound transmission from outer to inner ear. Proceedings of the Institution of Mechanical Engineers. Part H: Journal of Engineering in Medicine. 2016;230(11):999–1007. DOI: 10.1177/0954411916666109.
  25. Zahnert T, Hüttenbrink KB, Mürbe D, Bornitz M. Experimental investigation of the use of cartilage in tympanic membrane reconstruction. American Journal of Otology. 2000;21(3):322–328. DOI: 10.1016/s0196-0709(00)80039-3.
  26. Mikhasev GI, Slavashevich I, Yurkevich K. Prediction of eigenfrequencies of the middle ear oscillating system after tympanoplasty and stapedotomy. In: Altenbach H, Mikhasev GI, editors. Shell and membrane theories in mechanics and biology. From macro- to nanoscale structures. Cham: Springer; 2015. p. 243–265. (Advanced structured materials; volume 45).
Published
2021-04-12
Keywords: middle ear, tympanic membrane, finite-element modelling, cartilage graft, eigenfrequency, auditory conductivity
Supporting Agencies This study is supported by a grant from the President of the Republic of Belarus in the field of science.
How to Cite
Bosiakov, S. M., Yurkevich, K. S., Mikhasev, G. I., Petrova, L. G., & Maisyuk, M. M. (2021). Assessment of the cartilage transplant thickness after removing of the tympanic membrane retraction pocket (finiteelement modelling). Journal of the Belarusian State University. Mathematics and Informatics, 1, 69-78. https://doi.org/10.33581/2520-6508-2021-1-69-78
Issue
No 1 (2021): Journal of the Belarusian State University. Mathematics and Informatics
Section
Theoretical and Applied Mechanics

Copyright (c) 2021 Journal of the Belarusian State University. Mathematics and Informatics

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

The authors who are published in this journal agree to the following:

  1. The authors retain copyright on the work and provide the journal with the right of first publication of the work on condition of license Creative Commons Attribution-NonCommercial. 4.0 International (CC BY-NC 4.0).
  2. The authors retain the right to enter into certain contractual agreements relating to the non-exclusive distribution of the published version of the work (e.g. post it on the institutional repository, publication in the book), with the reference to its original publication in this journal.
  3. The authors have the right to post their work on the Internet (e.g. on the institutional store or personal website) prior to and during the review process, conducted by the journal, as this may lead to a productive discussion and a large number of references to this work. (See The Effect of Open Access.)