Fractal Dimension of Trabeculae in Normal and Osteoporotic Bone.

概要

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Fractal is mathematical theory advocated by Mandelbrot in 1985. He made it possible to analyze complicated patterns using the fractal dimension, that is, the index of complexity of a certain pattern. This study investigated the fractal dimension of trabecular pattern and the difference in fractal dimension between normal and osteoporotic cancellous bone. Normal rats and osteoporotic talcum model rats were compared. Fractal dimension in the proximal portion of the tibia of both groups was evaluated using the box counting method. Results showed that there are significant characteristics of fractal in trabecular bone and the fractal dimension of normal and osteoporotic bone was 1.76 and 1.59, respectively. The difference in fractal dimension between normal bone and osteoporotic bone means that not only bone loss but also change in trabecular pattern occurs in osteoporosis. Fractal analysis will provide a new tool for image diagnosis and enable us to evaluate the complexity of patterns quantitatively.
西日本整形・災害外科学会の論文