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 |
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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. |
doi_str_mv | 10.1088/0031-9155/43/2/019 |
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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.</description><subject>Biological and medical sciences</subject><subject>Bone and Bones - diagnostic imaging</subject><subject>Computer-Aided Design</subject><subject>Fractals</subject><subject>Humans</subject><subject>Image Processing, Computer-Assisted</subject><subject>Investigative techniques, diagnostic techniques (general aspects)</subject><subject>Joints</subject><subject>Medical sciences</subject><subject>Models, Biological</subject><subject>Reproducibility of Results</subject><subject>Ultrasonic investigative techniques</subject><subject>Ultrasonography - methods</subject><issn>0031-9155</issn><issn>1361-6560</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1998</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><recordid>eNqNkE1r3DAQhkVoSLdp_0Ch4EMp5OCsPm3pWJZuWgj0kpzFWB4nWmzLleTD_vvY7LKXXHrSwDzz6uUh5Cuj94xqvaVUsNIwpbZSbPmWMnNFNkxUrKxURT-QzQX4SD6ldKCUMc3lDbkxiholzIYc9hFchr5o_YBj8mEspoitdzkVTQzQNjC2xdznCCnMywg54zhDXkk_FiljxND7_BpeIkyvx2IILfapCF3hYHTY92FeosKIn8l1B33CL-f3ljzvfz3tfpePfx_-7H4-lk4Yk0s0nEHjtONMOSklZxUqlFgxySolUIHUDnXdUucU10BVI5QStEaHTnda3JIfp9wphn8zpmwHn9YiMOLSxdamFlzW9QLyE-hiSCliZ6foB4hHy6hdBdvVn139WSkst4vg5ejbOX1uBmwvJ2ejy_77eQ_JQd_FRYJPF4wzYThfS5YnzIfp_769e8-_5-zUduINGR2fQg</recordid><startdate>19980201</startdate><enddate>19980201</enddate><creator>Langton, C M</creator><creator>Whitehead, M A</creator><creator>Haire, T J</creator><creator>Hodgskinson, R</creator><general>IOP Publishing</general><general>Institute of Physics</general><scope>IQODW</scope><scope>CGR</scope><scope>CUY</scope><scope>CVF</scope><scope>ECM</scope><scope>EIF</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope></search><sort><creationdate>19980201</creationdate><title>Fractal dimension predicts broadband ultrasound attenuation in stereolithography models of cancellous bone</title><author>Langton, C M ; Whitehead, M A ; Haire, T J ; Hodgskinson, R</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c399t-e921abc8c215c444216e5e4e6141653e5a48ce87d0cc528a05b355307ecec8f83</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1998</creationdate><topic>Biological and medical sciences</topic><topic>Bone and Bones - diagnostic imaging</topic><topic>Computer-Aided Design</topic><topic>Fractals</topic><topic>Humans</topic><topic>Image Processing, Computer-Assisted</topic><topic>Investigative techniques, diagnostic techniques (general aspects)</topic><topic>Joints</topic><topic>Medical sciences</topic><topic>Models, Biological</topic><topic>Reproducibility of Results</topic><topic>Ultrasonic investigative techniques</topic><topic>Ultrasonography - methods</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Langton, C M</creatorcontrib><creatorcontrib>Whitehead, M A</creatorcontrib><creatorcontrib>Haire, T J</creatorcontrib><creatorcontrib>Hodgskinson, R</creatorcontrib><collection>Pascal-Francis</collection><collection>Medline</collection><collection>MEDLINE</collection><collection>MEDLINE (Ovid)</collection><collection>MEDLINE</collection><collection>MEDLINE</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><jtitle>Physics in medicine & biology</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Langton, C M</au><au>Whitehead, M A</au><au>Haire, T J</au><au>Hodgskinson, R</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Fractal dimension predicts broadband ultrasound attenuation in stereolithography models of cancellous bone</atitle><jtitle>Physics in medicine & biology</jtitle><addtitle>Phys Med Biol</addtitle><date>1998-02-01</date><risdate>1998</risdate><volume>43</volume><issue>2</issue><spage>467</spage><epage>471</epage><pages>467-471</pages><issn>0031-9155</issn><eissn>1361-6560</eissn><coden>PHMBA7</coden><abstract>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.</abstract><cop>Bristol</cop><pub>IOP Publishing</pub><pmid>9509539</pmid><doi>10.1088/0031-9155/43/2/019</doi><tpages>5</tpages></addata></record> |
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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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