Geodesic
Application of mathematical modeling in preparation for hip arthroplasty
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 153 (2011) no. 4, pp. 76-83

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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
Mots-clés : implant. 
@article{UZKU_2011_153_4_a7,
     author = {Yu. G. Konoplev and V. I. Mitryaikin and O. A. Sachenkov},
     title = {Application of mathematical modeling in preparation for hip arthroplasty},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {76--83},
     publisher = {mathdoc},
     volume = {153},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2011_153_4_a7/}
}
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Yu. G. Konoplev; V. I. Mitryaikin; O. A. Sachenkov. Application of mathematical modeling in preparation for hip arthroplasty. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 153 (2011) no. 4, pp. 76-83. http://geodesic.mathdoc.fr/item/UZKU_2011_153_4_a7/