Optimization of follow-up measurements of bone mass.

In bone densitometry, the precision of the instrument, the number of measurements and the time-points of the measurements are important criteria for monitoring bone mass changes. The most appropriate follow-up procedure can be determined by numerical comparison of various combinations of these three criteria. This can be done by computing the confidence interval of changes in bone mass. We developed a model to estimate the length of a confidence interval for the observed changes in individual patients. With specific instrument precision, a specified number of measurements and, assuming a linear rate of bone mass changes, the best estimate of the actual changes in bone mass is obtained by measurements at the end of an observation period. With the current precision of bone densitometers, follow-up of patients with yearly duplicate measurements is recommended. A shorter scan time interval offers no additional information unless very rapid bone loss is expected.

Automated comparison of dual-photon absorptiometric studies of the lumbar spine.

An automated image comparison procedure was developed to optimize the precision of bone mineral density measurements by dual-photon absorptiometry. Changed acquisition conditions cause differences between two images to be compared. Alignment of one image with respect to the other is performed by a transformation that involves a rotation, a horizontal or vertical shift, and a correction for the soft tissue level. The best possible transformation is found in a stepwise search, guided by initial estimations of its parameters. After optimum transformation of one image, the region of interest of the other image is applied to both of them. Duplicate measurements of 9 patients and 15 normal subjects were performed; automated analysis yielded improved precision with respect to manual analysis. The coefficient of variation (CV) was also computed. The CV for automated analysis was 2.00% for patients and 1.04% for normal subjects compared to 3.55 and 1.93%, respectively, for manual analysis. For phantoms, the precision was 2.67% for manual analysis and 0.49% for automated analysis.

Automatic region of interest determination in dual photon absorptiometry of the lumbar spine.

In a heuristic approach, the authors developed an algorithm for automatic region-of-interest (ROI) determination in bone mineral density (BMD) measurements of the lumbar spine. First, the algorithm detects the boundaries of the spine utilizing simple smoothing and gradient operators followed by a dynamic programming technique. Second, it selects L2, L3, and L4 from the spine by examining the BMD values along lines that are orthogonal to the local direction of the spine. The algorithm was tested in studies of a spine phantom, normal subjects (30), and patients (94). In all but two patient studies of severely affected spines the contours were detected correctly. The ROI determination was performed satisfactorily in all studies of the phantom, normals, and patients that had no spinal fractures. The coefficient of variation (CV) in the phantom studies was equal to 0.7%. In duplicate studies of 15 normal subjects and nine patients, the CV was equal to 1.0 and 2.7%, respectively. Compared to manual determination of the ROI, the precision of BMD measurements was clearly improved by the automatic procedure.

Limited precision of lumbar spine dual-photon absorptiometry by variations in the soft-tissue background.

The estimation error due to variations in soft-tissue baseline in lumbar bone mineral content (BMC) measured by dual-photon absorptiometry (DPA) was calculated with a new method of automatic baseline subtraction. In water phantom measurements, the s.d. of the soft-tissue (ST) baseline matched closely (r = 0.98) to the random error, calculated using 44 keV and 100 keV count rates and the directly determined baseline variations. In 21 volunteers and in 70 patients with osteoporosis, the ST variations were larger than the expected random error, revealing a source of error related to the inhomogeneity of soft tissue. The estimation error in BMC caused by ST variations was 0.7% in healthy subjects (mean BMC 40.5 gHA) and 1.5% in patients (mean BMC = 26.4 gHA). These results indicate that ST-related errors are an important limit to the precision of lumbar DPA measurements.