Mathematical modeling of knee arthroplasty with filling of a bone defect with implants from various materials

Authors

  • Oleksiy Tankut Sytenko Institute of Spine and Joint Pathology National Academy of Medical Sciences of Ukraine, Kharkiv, Ukraine
  • Volodymyr Filipenko Sytenko Institute of Spine and Joint Pathology National Academy of Medical Sciences of Ukraine, Kharkiv, Ukraine https://orcid.org/0000-0001-5698-2726
  • Volodymyr Mezentsev Sytenko Institute of Spine and Joint Pathology National Academy of Medical Sciences of Ukraine, Kharkiv, Ukraine
  • Zorik Arutunan Sytenko Institute of Spine and Joint Pathology National Academy of Medical Sciences of Ukraine, Kharkiv, Ukraine
  • Mykola Tоhtamyshev Kharkiv Medical Academy of Postgraduate Education. Ukraine, Ukraine
  • Michael Karpinsky Sytenko Institute of Spine and Joint Pathology National Academy of Medical Sciences of Ukraine, Kharkiv, Ukraine https://orcid.org/0000-0002-3004-2610
  • Oleksandr Yaresko Sytenko Institute of Spine and Joint Pathology National Academy of Medical Sciences of Ukraine, Kharkiv, Ukraine https://orcid.org/0000-0002-2037-5964

DOI:

https://doi.org/10.15674/0030-59872020166-77

Keywords:

endoprosthetics, finite element method, bone grafting

Abstract

Defects in the proximal tibia significantly complicate the process of implanting an artificial knee joint.

Objective: due to mathematical modeling to determine the optimal combination of implant stem and material, depending on the size of the tibia defect at joint replacement.

Methods: using the finite element method, the stresses in the lower limb models with knee implant were studied. Reproduced the defect tibia size 25, 50 and 75 % of the area of the supporting surface of the endoprosthesis. For each case, an implant without stem, with short or long one was modeled. We studied options for filling defects with bone chips, bone cement and porous tantalum.

Results: the presence of defect of 25 % leads to an increase in stresses on its face under the elements of implant, which decrease with increasing length of its stem. When filling the defect with bone chips, the stresses in the bone tissue decrease, in addition — with an increase in the length of the endoprosthesis stem. When using bone cement, the stress level in the model is reduced more effectively compared to bone chips, regardless of the length of the stem of the implant. The zone of maximum loads is shifted to the stiffener of the endoprosthesis in the region of the defect 50 %. When filling it with cement, the combination with a long-stem implant seemed most effective. Large defects (75 %) do not cause significant stress in the bone tissue, but their level increases at grafting with bone chips. You can reduce it by using an endoprosthesis with a long stem and bone cement instead of chips.

Conclusions: at 25 % tibia defect the most biomechanically effective is the using of implant with long or short stem and bone cement, at 50 % defect — a combination of a long stem of implant with filling the defect with bone cement or a short or long stem with a tantalum implant; at 75 % defect — grafting of defect with tantalum augments in combination with long stem.

Author Biographies

Oleksiy Tankut, Sytenko Institute of Spine and Joint Pathology National Academy of Medical Sciences of Ukraine, Kharkiv

PhD in Traumatology and Orthopаedics

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

MD, Prof. in Traumatology and Orthopаedics

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

PhD in Traumatology and Orthopаedics

Zorik Arutunan, Sytenko Institute of Spine and Joint Pathology National Academy of Medical Sciences of Ukraine, Kharkiv

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

References

  1. Harb, M., Solow, M., Newman, J., Sodhi, N., Pivec, R., George, J., … & Mont, M. (2018). Have the annual trends of total knee arthroplasty in rheumatoid arthritis patients changed? The Journal of Knee Surgery, 31(09), 841-845. https://doi.org/10.1055/s-0037-1615822
  2. Registry AJR. American Joint Replacement Registry. Annual Report 2014. [Electronic resource]. Retrieved from: www.ajrr.net.
  3. Korzh, M. O., Filipenko, V. A., & Tankut, V. O. (2012). Current state of the problem of joint arthroplasty in Ukraine. Pain, joints, spine, 1(5), 48-50. [in Ukrainian]
  4. Motififard, M., Pesteh, M., Etemadifar, M. R., & Shirazinejad, S. (2015). Causes and rates of revision total knee arthroplasty: Local results from Isfahan, Iran. Advance Biomedical Research, 29(4). Article ID: 111. DOI: 10.4103/2277–9175.157829
  5. Pabinger, C., Berghold, A., Boehler, N., & Labek, G. (2013). Revision rates after knee replacement. Cumulative results from worldwide clinical studies versus joint registers. Osteoarthritis and Cartilage, 21(2), 263-268. https://doi.org/10.1016/j.joca.2012.11.014
  6. Postler, A., Lützner, C., Beyer, F., Tille, E., & Lützner, J. (2018). Analysis of total knee arthroplasty revision causes. BMC Musculoskeletal Disorders, 19(1). https://doi.org/10.1186/s12891-018-1977-y
  7. Backstein, D., Safir, O., & Gross, A. (2006). Management of bone loss. Clinical Orthopaedics and Related Research, 446, 104-112. https://doi.org/10.1097/01.blo.0000214426.52206.2c
  8. Toms, A. D., Barker, R. L., McClelland, D., Chua, L., Spencer-Jones, R., & Kuiper, J. (2009). Repair of defects and containment in revision total knee replacement. The Journal of Bone and Joint Surgery. British volume, 91-B(2), 271-277. https://doi.org/10.1302/0301-620x.91b2.21415
  9. Filipenko, V. A., Miteleva, Z. M., & Ziman, Z. Z. (2006). Finite element method in clinical biomechanics and prediction of results of bone plasticity with the help of types of calcium-phosphate ceramics. Orthopedics, traumatology and prosthetics, 2, 34-41. [in Ukrainian]
  10. Gaiko, G. V., Pidgayetsky, V. M., Sulima, O. M., & Chkalov, O. V. (2009). Prerequisites for the development of aseptic instability of total cementless hip arthroplasty (biomechanical and mathematical modeling). Orthopedics, traumatology and prosthetics, 1, 10-16. DOI: 10.15674/0030-59872009110-16. [in Ukrainian]
  11. Korzh, N. A., Filippenko, V. A., & Tankut, V. A. (2011). The role of biomechanical research in the optimization of hip arthroplasty operations. Bulletin of SevNTU, 120, 70-74. [in Russian]
  12. Zenkevich, O. K. (1978). Finite element method in technology. Мoscow: Мir. [in Russian]
  13. Miteleva, Z. M., Subbota, I. A., & Karpinsky, M. Yu. (2003). Modern biomechanical approaches in hip arthroplasty. Orthopedics, traumatology and prosthetics, 1, 37-42. [in Russian]
  14. Filippenko, V. A., Zhigun, A. I., Bondarenko, S. E., & Yaresko, A. V. (2008). Biomechanical Substantiation of Acetabular Defect Plastic in Hip Arthroplasty in Patients with Sequelae of Reactive Arthritis. Orthopedics, traumatology and prosthetics, 2, 19-22. [in Russian]
  15. Korzh, N. A., Filippenko, V. A., & Tankut, V. A. (2013). The value of stress distribution in the bone tissue around the components of the hip joint endoprosthesis for stable fixation of the implant. Bulletin of SevNTU, 137, 110-118. [in Russian]
  16. Korolkov, A. I., Miteleva, Z. M., & Yaresko, A. V. (2008). Biomechanical aspects of hip dysplasia in children (modeling by the finite element method). Traumatology and Orthopedics of Russia (appendix), 4(50), 68. [in Russian]
  17. Berezovsky, V. A., & Kolotilov, N. N. (1990). Biophysical characteristics of human tissues: Handbook. Kyiv: Scientific thought. [in Russian]
  18. Karpinsky, M. Yu., Subbota, I. A., Pustovoit, B. A., & Tarek Ziyad Abdel Aziz Rasheed. (2008). Determination of the impact of hallux valgus on stresses in the knee joint. Orthopedics, traumatology and prosthetics, 2, 31-34. [in Russian]
  19. Khvysyuk, O. M., Pustovoit, K. B., & Pustovoit, B. A. (2012). Mathematical modeling of knee joint loading conditions in the frontal plane. Problems of continuous medical education and science, 1, 51-56. [in Ukrainian]
  20. Pustovoit, K. B., & Karpinskij, M. Yu. (2013). Modeling of conditions of loading of a knee joint from positions of mechanics. Clinical surgery, 53-56. [in Ukrainian]
  21. Miteleva, Z. M., Snisarenko, P. I., & Zelenetsky, I. B. (2015). Investigation of the stress-strain state of knee joint models depending on the size of varus deformity and the thickness of the articular cartilage. Trauma, 3, 33-38. DOI: 10.22141/1608- 1706.3.16.2015.80212. [in Russian]
  22. Filipenko, V. A., Mezentsev, V. O., Karpinskii, M. Yu., & Karpinska, O. D. (2020). Experimental study of mechanical properties of materials in the form of granules and chips for filling bone defects. Trauma, 21(1), 31-38. DOI: 10.22141/1608- 1706.1.21.2020.197795. [in Ukrainian]
  23. Gere, J. M., & Timoshenko, S. P. (1997). Mechanics of Material
  24. Obraztsov, I. F., Adamovich, I. S, & Barer, I. S. (1988). The problem of strength in biomechanics: A textbook for technical. and biol. specialist. Universities. Moscow: Higher School. [in Russian]
  25. Zenkevich, O. K. (1978). Finite element method in technology. Мoscow: Мir. [in Russian]
  26. Alyamovsky, A. A. (2004). SolidWorks / COSMOSWorks. Finite Element. Мoscow: DMK Press. [in Russian]

How to Cite

Tankut, O., Filipenko, V., Mezentsev, V., Arutunan, Z., Tоhtamyshev M., Karpinsky, M., & Yaresko, O. (2024). Mathematical modeling of knee arthroplasty with filling of a bone defect with implants from various materials. ORTHOPAEDICS TRAUMATOLOGY and PROSTHETICS, (1), 66–77. https://doi.org/10.15674/0030-59872020166-77

Issue

Section

ORIGINAL ARTICLES