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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2011, Volume 153, Book 4, Pages 76–83 (Mi uzku1082)  
Application of mathematical modeling in preparation for hip arthroplasty

Yu. G. Konopleva, V. I. Mitryaikinb, O. A. Sachenkova

a Institute of Mathematics and Mechanics, Kazan (Volga Region) Federal University
b Kazan High Military College
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Abstract: In this article, we propose a mathematical model of the bone-tissue differentiation on the radiographs of a human hip joint obtained by X-ray computed tomography. We also describe a model of the changes in the reaction forces of the hip joint during walking and running and a model of the stress-deformed state of the joint in normal and pathological cases. The results of the calculations based on these mathematical models are presented.
Keywords: arthroplasty, biomechanics, hip joint, implant.
Received: 17.11.2010
Document Type: Article
UDC: 531/534:[57+61]
Language: Russian
Citation: Yu. G. Konoplev, V. I. Mitryaikin, O. A. Sachenkov, “Application of mathematical modeling in preparation for hip arthroplasty”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 153, no. 4, Kazan University, Kazan, 2011, 76–83
Citation in format AMSBIB
\Bibitem{KonMitSac11}
\by Yu.~G.~Konoplev, V.~I.~Mitryaikin, O.~A.~Sachenkov
\paper Application of mathematical modeling in preparation for hip arthroplasty
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2011
\vol 153
\issue 4
\pages 76--83
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1082}
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    		Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
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