A numeric symbolic tool in total hip arthroplasty
type: Item
instance of: scholarly article
zbMATH Open document ID: 0976.92010
author: N. Sabbi
author: L. Guidotti
author: F. Fabbri
author: Giulia Spaletta
publication date: 2002-01-03T00:00:00Z
Mathematics Subject Classification ID: 92C50
Mathematics Subject Classification ID: 92-08
Mathematics Subject Classification ID: 92C10
zbMATH DE Number: 1606318
zbMATH Keywords: hip arthroplasty
zbMATH Keywords: least squares fitting method
describes a project that uses: Mathematica
MaRDI profile type: Publication
Recommended article: Q4500725
Recommended article: Q4897829
Recommended article: Numerical simulation of an osteoporotic femur
Recommended article: Numerical investigations on the biomechanical compatibility of hip-joint endoprostheses
Recommended article: A simple mathematical standardized measurement of acetabulum anteversion after total hip arthroplasty
Recommended article: Q3691355
Recommended article: Simulation of long term behaviour of cement less Total Hip Arthroplasty based on biomechanical factors analysis
Recommended article: Q3686531
title: A numeric symbolic tool in total hip arthroplasty
published in: Annali dell'Università di Ferrara. Nuova Serie. Sezione VII
review text: Monitoring the result of a surgical operation of total hip arthroplasty is of the utmost importance, both for evaluating the condition of the prosthesis itself, its successful stability, or to promptly diagnose the necessity for a correction. To meet this need, at the Rizzoli Orthopaedic Institutes a software system is under development; in particular, the accurate detection of the acetabular cup, through its radiographic evaluation, is under study and constitutes the motivation for this work. NEWLINENEWLINENEWLINEWe exploit the symbolic resources and the graphical capabilities of a system such as Mathematica to simulate the problem and model and validate numerical results obtained on real data. The problem naturally leads to an ill conditioned, overdetermined system, in which both the matrix and the known term entries are affected by measurement errors. A C-implementation of a least squares fitting method is then provided; results are reported, related to a set of real data problems.
description: scientific article; zbMATH DE number 1606318