Gerhard-Wilhelm Weber joint work with Mesut Taştan, Özgür Çelik, Feza Korkusuz and Bülent Karasözen
METU, Institute of Applied Mathematics
New Approaches Mathematical Modeling of Proximal Femur Geometry and Bone Mineral Density
Bone mineral density measured by dual energy X-ray absorpti-ometry is a major determinant of proximal femoral fractures. In former studies, researchers considered the hip axes and femoral neck lengths as predictors of fracture risk; the width of the femo-ral neck was not considered. In this study, the analytical model and numerical test of various functional relationships between density, length and width are assessed. Least squares parameter estimation is used and errors of three mathematical models are discussed. Parametrically, the importance of femoral neck width is quantified. In fact, femoral neck width is concluded to be im-portant and as a risk factor of facture when the appropriate for-mula is used.