Турчин, В.М. and Лоскутов, О.Є. and Савинська, О.Ю.
(2020)
*Щодо оптимального вибору імплантату кульшового суглоба.*
Питання прикладної математики і математичного моделювання, Вип.20.
pp. 163-174.
ISSN 2074-5893

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## Abstract

У роботі запропоновано алгоритм вибору майже оптимального імплантату кульшового суглоба за кількісними характеристиками. В работе предложен алгоритм выбора почти оптимального имплантата тазобедренного сустава по количественным характеристикам. Endoprosthetics often is almost the only solution for a patient with severe hip joint pathology. An important stage of a successful replacement is the adequate choice of an implant. During installation of a hip implant one of its parts (so-called stem) is inserted in the femoral marrow cavity. Moreover, the installation must be done so that, on the one hand, the stem fits tightly, and, on the other hand, no critical stress appears in the cavity. Otherwise, serious postoperative complications are possible. Proper fit of the prosthesis is ensured by the correct choice from a given standard set of implants. At present one of traditional methods of implant choice is based on X-ray images of the cavity in the AP projection and the lateral projection. X-ray images of an implant are sequentially overlaid atop the thighbone images in the AP projection and the lateral projection and thus a suitable implant is selected. So the problem of devising an algorithm for choice of an implant based on quantitative characteristics emerges. In order to solve the problem of optimal implant choice at first implants that fit in the cavity in the thirteenth knot, in the AP projection and the lateral projection are considered. The set of all such implants is called the set of admissible implants for a given cavity. We introduce a quantitative characteristics of tightness of implant fit against the walls of the cavity in the AP projection as the mean u v, L difference of the distance between the walls of the cavity u and the walls of implant v and also a quantitative characteristics of tightness of implant fit against the walls of the cavity in the lateral projection as the minimal distance uv, f between the front wall of the cavity u and the front wall of the implant v . The optimal implant with respect to the AP projection is the one for which u v, L reaches its minimal value and the optimal implant with respect to the lateral projection is the one for which uv, f reaches its minimum. Generally speaking, the measures u v, L and uv, f are reached at different implants, therefore one can speak only about a nearly optimal implant. ___________________________________________________

Item Type: | Article |
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Uncontrolled Keywords: | алгоритм, вибірка, імплантат, кульшовий суглоб, кількісні характеристики. algorithm, sample, implant, hip joint, quantitative characteristics. алгоритм, выборка, имплантат, тазобедренный сустав, количественные характеристики. |

Subjects: | Biophysics Traumatology and Orthopedics |

Divisions: | Departments > Department of Traumatology and Orthopedics |

Depositing User: | Елена Шрамко |

Date Deposited: | 27 May 2021 13:52 |

Last Modified: | 27 May 2021 13:52 |

URI: | http://repo.dma.dp.ua/id/eprint/6578 |

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