Mathematical and computer modeling of a new endoprosthesis with a carbon-carbon composite for interbody fusion of a lumbar spine

Authors

  • Mykola Korzh Sytenko Institute of Spine and Joint Pathology National Academy of Medical Sciences of Ukraine, Kharkiv, Ukraine https://orcid.org/0000-0002-0489-3104
  • Volodymyr Radchenko Sytenko Institute of Spine and Joint Pathology National Academy of Medical Sciences of Ukraine, Kharkiv, Ukraine https://orcid.org/0000-0001-5949-0882
  • Volodymyr Kutsenko Sytenko Institute of Spine and Joint Pathology National Academy of Medical Sciences of Ukraine, Kharkiv, Ukraine https://orcid.org/0000-0001-7924-6553
  • Andrey Popov Sytenko Institute of Spine and Joint Pathology National Academy of Medical Sciences of Ukraine, Kharkiv, Ukraine https://orcid.org/0000-0002-9006-7721
  • Oleg Veretelnik National Technical University «Kharkiv Polytechnic Institute». Ukraine, Ukraine
  • Iryna Timchenko Sytenko Institute of Spine and Joint Pathology National Academy of Medical Sciences of Ukraine, Kharkiv, Ukraine
  • Mykola Tkachuk National Technical University «Kharkiv Polytechnic Institute». Ukraine, Ukraine
  • Olexandr Perfiliev Sytenko Institute of Spine and Joint Pathology National Academy of Medical Sciences of Ukraine, Kharkiv, Ukraine

DOI:

https://doi.org/10.15674/0030-59872020146-53

Keywords:

finite-element models, interbody fusion, implant, vertebral body, stress-strain state, contact pressure, carbon-carbon composite

Abstract

Endoprostheses for interbody fusion should have not only biocompatibility and high strength characteristics, but also good visualization with additional research methods (CT, MRI). One such material is carbon. Aim: using mathematical modeling (the finite element method) to develop a model of the interbody prosthesis from a carbon-carbon composite and evaluate the stress-strain state of the vertebral body-implant system.

Methods: models created in SolidWorks software. 18 design schemes with endoprostheses from a carbon-carbon composite were developed and studied. Bending load was carried out by angular displacements (2°), compressive — by applying a force of 500 N to the upper cubic element. Additional symmetry conditions were also simulated.

Results: a parametric model of the biomechanical system of the lumbar spine was constructed. The smallest equivalent stresses were obtained in the design scheme M17, and the largest — in M13. In the bone elements of the systems, they did not exceed the ultimate strength limits for cortical (160 MPa) and cancellous (18–22 MPa) bones. Contact pressure and displacement are determined for all design schemes.

Conclusions: as a result of the numerical values and distribution fields of the components of the stress-strain state in the elements of the studied systems, it was found that the use of the proposed endoprosthesis made of a carbon-carbon composite, the geometric parameters of which correspond to the design scheme M17, is effective for achieving additional stabilization in the system «vertebral body – implant».

Author Biographies

Mykola Korzh, Sytenko Institute of Spine and Joint Pathology National Academy of Medical Sciences of Ukraine, Kharkiv

MD, Prof. in Traumatology and Orthopaedics

Volodymyr Radchenko, Sytenko Institute of Spine and Joint Pathology National Academy of Medical Sciences of Ukraine, Kharkiv

MD, Prof. in Traumatology and Orthopаedics

Volodymyr Kutsenko, Sytenko Institute of Spine and Joint Pathology National Academy of Medical Sciences of Ukraine, Kharkiv

Doctor оf Traumatology and Orthopaedics

Andrey Popov, Sytenko Institute of Spine and Joint Pathology National Academy of Medical Sciences of Ukraine, Kharkiv

PhD in Traumatology and Orthopaedics

Mykola Tkachuk, National Technical University «Kharkiv Polytechnic Institute». Ukraine

MD, Prof. in Tech. Scien.

References

  1. Stradiotti, P., Curti, A., Castellazzi, G., & Zerbi, A. (2009). Metal-related artifacts in instrumented spine. Techniques for reducing artifacts in CT and MRI: State of the art. European Spine Journal, 18(S1), 102-108. https://doi.org/10.1007/s00586-009-0998-5
  2. Korzh, N. A., Dedukh, N. V., Tyazhelov, A. A., & Zhou, L. (2017). Experimental and clinical substantiation of the use of carbon biomaterials in orthopedics and traumatology (literature review). Orthopedics, traumatology and prosthetics, 2, 114-121. DOI: 10.15674/0030- 598720172114-121. [in Russian]
  3. Popov, A., Ashukina, N., & Maltseva, V. (2019). Histomorphometric evaluation of bone repair after carbon/ carbon composite implantation in lumbar vertebrae in rats. Georgian Medical News, 11(296), 117-121.
  4. Korzh, M. O., Kutsenko, V. O., & Timchenko, I. B. (2019). The use of computer technology in the development of vertebral implants for posterior spondylodesis in the thoracic spine. Trauma, 20(3), 34-45. DOI: 10.22141/1608-1706.3.20.2019.172090. [in Ukrainian]
  5. Korzh, M. O., Kutsenko, V. O., & Popov, A. I. (2019). Mathematical modeling of a new endoprosthesis for interbody corpus spondylodesis. Orthopedics, traumatology and prosthetics, 4(617), 42-49. DOI: 10.15674/0030-59872019442-49. [in Ukrainian]
  6. Natarajan, R. N., Chen, B. H., An, H. S., & Andersson, G. B. (2000). Anterior cervical fusion. Spine, 25(8), 955-961. https://doi.org/10.1097/00007632-200004150-00010
  7. Veretelnik, Yu. V., Veretelnik, O. V., & Timchenko, I. B. (2007). On the question of constructing parametric models of the cervical spine. Bulletin of NTU «KhPI», 29, 16-20. [in Russian]
  8. Nolan, J. P., & Sherk, H. H. (1988). Biomechanical evaluation of the extensor musculature of the cervical spine. Spine, 13(1), 9-11. https://doi.org/10.1097/00007632-198801000-00003
  9. Panjabi, M. M., Duranceau, J., Goel, V., Oxland, T., & Takata, K. (1991). Cervical human vertebrae quantitative three-dimensional anatomy of the middle and lower regions. SPINE, 16(8), 861-869. https://doi.org/10.1097/00007632-199108000-00001
  10. Veretelnik, O. V. (2008). Simulation of stresses in the cervical spine with orthosis Bulletin of NTU «KhPI», 9, 22-29. [in Russian]
  11. Veretelnik, O. V. (2008). Review of design schemes and solutions for modeling SHOP and orthoses. Bulletin of NTU «KhPI», 42, 3-8. [in Russian]
  12. ANSYS Workbench. [Electronic resource]. Retrieved from: http://www.ansys.com.
  13. Zienkiewicz, O. С., & Taylor, R. L. (1989). The Finite Element Method. Vol. 1: Basic Formulation and Linear Problems. McGraw-Hill, Maidenhead, England
  14. Zenkevich, O. (1975). Finite element method in technology. Moscow: Mir. [in Russian]
  15. Boyko, I. V., Sabsay, A. V., Makarov, V. B., & Radzhabov, O. V. (2012). Mathematical modeling of the stress-strain state of the "bone - implant" system in intertrochanteric fracture of the femur. Bulletin of SevNTU: a collection of scientific papers, 133, 355-360. [in Russian]
  16. Kukin, I. A., Kirpichev, I. V., Maslov, L. B., & Vikhrev, S. V. (2013). Features of the strength characteristics of the cancellous bone in diseases of the hip joint. Fundamental Research, 7, 328-333. [in Russian]

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How to Cite

Korzh, M., Radchenko, V. ., Kutsenko, V., Popov, A., Veretelnik, O., Timchenko, I., Tkachuk, M., & Perfiliev, O. (2024). Mathematical and computer modeling of a new endoprosthesis with a carbon-carbon composite for interbody fusion of a lumbar spine. ORTHOPAEDICS TRAUMATOLOGY and PROSTHETICS, (1), 46–53. https://doi.org/10.15674/0030-59872020146-53

Issue

No. 1 (2020)

Section

ORIGINAL ARTICLES

License

Copyright (c) 2020 Mykola Korzh, Volodymyr Radchenko, Volodymyr Kutsenko, Andrey Popov, Oleg Veretelnik, Iryna Timchenko, Mykola Tkachuk, Olexandr Perfiliev

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