Mathematic modeling of the influence of femur malalignment on the bearing of lower extremity joints

Mykola Korzh, Konstantin Romanenko, Mykhaylo Karpinsky, Dmytro Prozorovsky, Oleksandr Yaresko

Abstract


The forming of posttraumatic deformity of long bones is accompanied with development of secondary changes in all tissues of injured segment. Theoretically the redistribution of bearing areas, osteoarthritic changes and restriction of range of motion in adjusted joints can appear. Usage of mathematical modeling allows creating 3D models of biological objects and reveals main tendencies of the changes of their stress-strain status. The goal: to work out the mathematical model of lower extremity and to study, using the model, the influence of varus extraarticular deformity of femur on stress distribution in knee, ankle and subtallar joints. Methods: mathematical models of lower extremity under normal conditions and under conditions of femur varus deformity (45°) in middle 1/3. Exertion according to Mises was a criterion to assess stress-strain status. The modeling was performed using the system of automated designing SolidWorks and calculation of stress-strain status – program complex CosmosM. Results: in knee medial condyle of femur appeared more overloaded under the conditions of femur varus malalignment and corresponding area of bearing of proximal tibia (26.9 vs 4.9 MPa under normal conditions). Double increase in strain was observed on lateral edge of knee joint (6.1 vs 3.4 Mpa). On the level of ankle joint almost triple increase in stress-strain status was observed on lateral parts of both tibia and talar. Conclusion: varus malalignment of femur provokes severe increase in tension in femur and tibia, imbalance in tension significance on medial and lateral sides of these bones with its prevalence on medial side, and severe increase in tension value on medial side of bearing areas of knee joint.

Keywords


femur; deformity; malalignment; tension; modeling; lower extremity

References


The role stem cells in fracture healing and nonunion / C. Y. Fayaz, C. V. Giannoudis, M. S. Vrahas [et al.] // Int. Orthop. — 2011. — Vol. 35, № 11. — P. 1586–1597, doi: 10.1007/s00264-011-1338-z.

Popsujshapka A. The incidence of nonunion and delayed union after isolated diaphyseal fractures of femur / A. Popsujshapka, O. Uzhegova, V. Litvishko // Orthopedics, traumatology and prosthesis. — 2013. — № 1. — P. 39–43, http://dx.doi.org/10.15674/0030-59872013139-43.

Marti R. K. Osteotomies for posttraumatic deformities / R. K. Marti, R. J. van Heerwaarden. — New York: Thiem, 2008. — 703 p.

Chapman’s Orthopaedic Surgery / M. W. Chapman, R. M. Szabo, K. S. Vince, A. Mann. — 3d ed. — Lippincott Williams &Wilkins Publisher, 2001. — 188 p.

Redento More. Nonunions of the long bones diagnosis and treatment with compression-distraction techniques / More Redento. — Springer-Verlag, Italia, 2006. — 279 p.

Paley D. Principles of deformity correction / D. Paley. — 2002. — 806 p.

Zenkevich O. Finite elements methods in technics / O. Zenkevich — M: Мир, 1978. — 519 с.

Finite elements methods in clinical biomechanics and the forecasting of results after plastics of bone cavity with verities of calcium-phosphate ceramics /

V. Filipenko, Z. Miteleva, Z. Zyman [and others] // Orthopedics, traumatology and prosthesis. — 2006. — № 2. — p. 34–41.

The significance of stress distribution in bone around the components of hip endoprothesis for the stability of implant fixation / N. Korz, V. Filippenko, V. Tankut [and others] // Newsletter of SevNTU. — 2013. — № 137. — p. 110–118.

Berezovskij V. Biophysical properties of human tissues: reference book / V. Berezovskij, N. Kolotilov. — K. Naukova dumka [Scientific thought], 1990. — 224 p.

Alyamovskij A. SolidWorks/COSMOSWorks. Engineering analysis with finite element method / A. Alyamovskij. — М.: DMK Press, 2004. — 432 .

Effects of increased chronic loading on articular cartilage material properties in the Lapine tibio-femoral joint / M. L. Roemhildt, K. M. Coughlin, G. D. Peura [et al.] // J. Biomechanics. — 2010. — Vol. 43, № 12. — P. 2301–308, doi: 10.1016/j.jbiomech.2010.04.035.

Changes induced by chronic in vivo load alteration in the tibiofemoral joint of mature rabbits / M. L. Roemhildt, B. D. Beynnon, M. Gardner-Morse [et al.] // J. Orthop. Res. —2012. — Vol. 30, № 9. — Р. 1413–422, doi: 10.1002/jor.22087.

Changes in in vitro compressive contact stress in the rat tibiofemoral joint with varus loading / M. Gardner-Morse, G. Badger, B. Beynnon, M. Roemhildt // J. Biomech. — 2013. — Vol. 46, № 6. —P. 1216–220, doi:10.1016/j.jbiomech.2013.01.009.




DOI: https://doi.org/10.15674/0030-59872015425-30

Refbacks

  • There are currently no refbacks.


Copyright (c) 2015 Mykola Korzh, Konstantin Romanenko, Mykhaylo Karpinsky, Dmytro Prozorovsky, Oleksandr Yaresko

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