Fractal dimension predicts broadband ultrasound attenuation in stereolithography models of cancellous bone

There has been considerable debate on the relative dependence of broadband ultrasound attenuation (nBUA, dB MHz(-1) cm(-1)) upon the density and structure of cancellous bone. A nonlinear relationship between nBUA and porosity has recently been demonstrated using stereolithography models, indicating...

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Veröffentlicht in:Physics in medicine & biology 1998-02, Vol.43 (2), p.467-471
Hauptverfasser: Langton, C M, Whitehead, M A, Haire, T J, Hodgskinson, R
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container_title Physics in medicine & biology
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creator Langton, C M
Whitehead, M A
Haire, T J
Hodgskinson, R
description There has been considerable debate on the relative dependence of broadband ultrasound attenuation (nBUA, dB MHz(-1) cm(-1)) upon the density and structure of cancellous bone. A nonlinear relationship between nBUA and porosity has recently been demonstrated using stereolithography models, indicating a high structural dependence for nBUA. We report here on the measurement of trabecular perimeter and fractal dimension on the two-dimensional images used to create the stereolithography models. Adjusted coefficients of determination (R2) with nBUA were 94.4% (p < 0.0001) and 98.4% (p < 0.0001) for trabecular perimeter and fractal dimension respectively. The feature of fractal dimension representing both the porosity and connectivity of a given structure is most exciting. Further work is required to determine the relationship between broadband ultrasound attenuation and fractal dimension in complex three-dimensional cancellous bone structures.
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subjects Biological and medical sciences
Bone and Bones - diagnostic imaging
Computer-Aided Design
Fractals
Humans
Image Processing, Computer-Assisted
Investigative techniques, diagnostic techniques (general aspects)
Joints
Medical sciences
Models, Biological
Reproducibility of Results
Ultrasonic investigative techniques
Ultrasonography - methods
title Fractal dimension predicts broadband ultrasound attenuation in stereolithography models of cancellous bone
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