Mathematical analysis of computed carpal models
β Scribed by Dr. Robert J. Belsole; Don R. Hilbelink; J. Anthony Llewellyn; Stephen Stenzler; Thomas L. Greene; Mark Dale
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 603 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0736-0266
No coin nor oath required. For personal study only.
β¦ Synopsis
The computed carpal models from digital computed tomography (CT) data obtained in this study compare favorably to natural anatomy. A new application of algebraic analysis of this data provides mathematical markers from which to calculate the position and orientation of each carpal bone. When the origin of the spatial coordinates of a carpal bone is transferred to the centroid of the bone, the data can be treated as three-dimensional pattern vectors describing its surface. It is then possible to calculate vectors that are the principal axes of the geometry. These axes provided references that were used to calculate position and orientation of the carpal bones in three wrist specimens. Comparisons of volumes, surface areas, and sizes and proportions of five computed images of each carpal bone from two of these wrists demonstrate the reliability of the technique. The analysis of CT scans of ceramics with known boundaries allows an estimation of its accuracy. The technique is well suited to the future study of normal wrist kinematics and pathological conditions.
π SIMILAR VOLUMES
In this paper we study a mathematical model of growth of protocell proposed by Tarumi and Schwegler. The model comprises three unknown functions: the con-Ε½ . Ε½ . centration u r, t of nutrient, the density Β¨r, t of building material, and the Ε½ . radius R t of the organism which is assumed to be spher
An idealized mathematical model of adaptive-system behavior, using conventional economic decision-theory assumptions, is stated. The data-processing capacity of this model is analyzed, revealing that it would be rapidly overwhelmed by even moderate complexity. To circumvent this difficulty, a practi
## Abstract In this paper, some new elastohydrodynamic Reynoldsβrod models are posed to obtain the existence of solution (the lubricant pressure and the elastic rod displacement). More precisely, a sign restriction on fluid pressure for cavitation modelling and different unilateral conditions on th