Mathematical analysis on several factors of X-ray pictures to define osteoporosis

Abstract

The morphological informations retrieved from X-ray pictures were investigated to clarify the relationship among themselves by multidimensional analysis. We studied the X-ray pictures of the dorsal and lumbar spines from 147 male subjects aged 22–87 years, and 286 female subjects aged 18–102 years. We picked up seven morphological items from X-ray pictures as informations and two attributable items of sex and age. The result calculated by quantification IV presented the similar quality of five items which were global judgment, spinal score, deformity of vertebral body, calcification of abdominal aorta, and sex. By using quantification I, global judgment could be explained by four items which were spinal score, deformity of vertebral body, osteophyte, and age. The result calculated by quantification III showed also the similar quality of four items which were global judgment, spinal score, deformity of vertebral body, and age except osteophyte which had a different character. The different character of osteophyte could discern each subject of old age into two groups by quantification III, one with osteophyte and the other without osteophyte. The expected values of global judgment of osteoporosis by quantification I were well correlated with not only spinal scores and deformity of vertebral bodies but also with ages.