Fractal dimension and mechanical properties of human cortical bone
Abstract Fractal dimension (FD) can be used to characterize microstructure of porous media, particularly bone tissue. The porous microstructure of cortical bone is observable in micro-CT (μCT) images. Estimations of fractal dimensions of μCT images of coupons of human cortical bone are obtained. The...
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| Veröffentlicht in: | Medical engineering & physics 2013-05, Vol.35 (5), p.576-582 |
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| creator | Sanchez-Molina, David Velazquez-Ameijide, Juan Quintana, Víctor Arregui-Dalmases, Carlos Crandall, Jeff R Subit, Damien Kerrigan, Jason R |
| description | Abstract Fractal dimension (FD) can be used to characterize microstructure of porous media, particularly bone tissue. The porous microstructure of cortical bone is observable in micro-CT (μCT) images. Estimations of fractal dimensions of μCT images of coupons of human cortical bone are obtained. The same samples were tested on a tensile test machine and Young's modulus (YM) and Failure stress were obtained. When both types of measures were compared, a clear correlation was found ( R = −81%, P < 0.01). Young's modulus of each sample and the FD of its μCT images are correlated. From the assumption that cortical bone is approximately a fractal set, a non-linear constitutive relation involving FD is obtained for YM. Experimental results show good agreement with this constitutive relation. Additional parameters in the non-linear relation between YM and FD have been estimated from experimental results and related to physical parameters. |
| doi_str_mv | 10.1016/j.medengphy.2012.06.024 |
| format | Article |
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The porous microstructure of cortical bone is observable in micro-CT (μCT) images. Estimations of fractal dimensions of μCT images of coupons of human cortical bone are obtained. The same samples were tested on a tensile test machine and Young's modulus (YM) and Failure stress were obtained. When both types of measures were compared, a clear correlation was found ( R = −81%, P < 0.01). Young's modulus of each sample and the FD of its μCT images are correlated. From the assumption that cortical bone is approximately a fractal set, a non-linear constitutive relation involving FD is obtained for YM. Experimental results show good agreement with this constitutive relation. Additional parameters in the non-linear relation between YM and FD have been estimated from experimental results and related to physical parameters.</description><identifier>ISSN: 1350-4533</identifier><identifier>EISSN: 1873-4030</identifier><identifier>DOI: 10.1016/j.medengphy.2012.06.024</identifier><identifier>PMID: 22835437</identifier><language>eng</language><publisher>England: Elsevier Ltd</publisher><subject>Biomechanical Phenomena ; Biomechanical properties ; Bone architecture ; Elastic Modulus ; Fractal dimension ; Fractals ; Humans ; Mechanical Phenomena ; Middle Aged ; Radiology ; Ribs - diagnostic imaging ; Tensile Strength ; X-Ray Microtomography</subject><ispartof>Medical engineering & physics, 2013-05, Vol.35 (5), p.576-582</ispartof><rights>IPEM</rights><rights>2012 IPEM</rights><rights>Copyright © 2012 IPEM. Published by Elsevier Ltd. All rights reserved.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c459t-6f227d0460ad368bd473711a65dc0cecceeeb742b536649d01622d0787f9f22a3</citedby><cites>FETCH-LOGICAL-c459t-6f227d0460ad368bd473711a65dc0cecceeeb742b536649d01622d0787f9f22a3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.medengphy.2012.06.024$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3550,27924,27925,45995</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/22835437$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Sanchez-Molina, David</creatorcontrib><creatorcontrib>Velazquez-Ameijide, Juan</creatorcontrib><creatorcontrib>Quintana, Víctor</creatorcontrib><creatorcontrib>Arregui-Dalmases, Carlos</creatorcontrib><creatorcontrib>Crandall, Jeff R</creatorcontrib><creatorcontrib>Subit, Damien</creatorcontrib><creatorcontrib>Kerrigan, Jason R</creatorcontrib><title>Fractal dimension and mechanical properties of human cortical bone</title><title>Medical engineering & physics</title><addtitle>Med Eng Phys</addtitle><description>Abstract Fractal dimension (FD) can be used to characterize microstructure of porous media, particularly bone tissue. The porous microstructure of cortical bone is observable in micro-CT (μCT) images. Estimations of fractal dimensions of μCT images of coupons of human cortical bone are obtained. The same samples were tested on a tensile test machine and Young's modulus (YM) and Failure stress were obtained. When both types of measures were compared, a clear correlation was found ( R = −81%, P < 0.01). Young's modulus of each sample and the FD of its μCT images are correlated. From the assumption that cortical bone is approximately a fractal set, a non-linear constitutive relation involving FD is obtained for YM. Experimental results show good agreement with this constitutive relation. Additional parameters in the non-linear relation between YM and FD have been estimated from experimental results and related to physical parameters.</description><subject>Biomechanical Phenomena</subject><subject>Biomechanical properties</subject><subject>Bone architecture</subject><subject>Elastic Modulus</subject><subject>Fractal dimension</subject><subject>Fractals</subject><subject>Humans</subject><subject>Mechanical Phenomena</subject><subject>Middle Aged</subject><subject>Radiology</subject><subject>Ribs - diagnostic imaging</subject><subject>Tensile Strength</subject><subject>X-Ray Microtomography</subject><issn>1350-4533</issn><issn>1873-4030</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><recordid>eNqNkUtv1TAQhSMEog_4C5Alm4TxO9kglYpSpEosgLXl2BOuL4l9sZNK99_jcEsXbGBly3POzPg7VfWaQEuAyLf7dkaH4fthd2wpENqCbIHyJ9U56RRrODB4Wu5MQMMFY2fVRc57AOBcsufVGaUdE5yp8-r9TTJ2MVPt_Iwh-xhqE1w9o92Z4G0pHFI8YFo85jqO9W6dTahtLA9bcYgBX1TPRjNlfPlwXlbfbj58vb5t7j5__HR9dddYLvqlkSOlygGXYByT3eC4YooQI4WzYNFaRBwUp4NgUvLelW9S6kB1auyL1bDL6s2pb9no54p50bPPFqfJBIxr1kQAKMUZ6_8tZbyHngslilSdpDbFnBOO-pD8bNJRE9Aba73Xj6z1xlqD1IV1cb56GLIORfHo-wO3CK5OAixU7j0mna3HYNH5hHbRLvr_GPLurx528r-D-YFHzPu4plCga6Jz8egvW-Rb4oQCkA44-wX9HKf2</recordid><startdate>20130501</startdate><enddate>20130501</enddate><creator>Sanchez-Molina, David</creator><creator>Velazquez-Ameijide, Juan</creator><creator>Quintana, Víctor</creator><creator>Arregui-Dalmases, Carlos</creator><creator>Crandall, Jeff R</creator><creator>Subit, Damien</creator><creator>Kerrigan, Jason R</creator><general>Elsevier Ltd</general><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><scope>7QO</scope><scope>8FD</scope><scope>FR3</scope><scope>P64</scope></search><sort><creationdate>20130501</creationdate><title>Fractal dimension and mechanical properties of human cortical bone</title><author>Sanchez-Molina, David ; Velazquez-Ameijide, Juan ; Quintana, Víctor ; Arregui-Dalmases, Carlos ; Crandall, Jeff R ; Subit, Damien ; Kerrigan, Jason R</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c459t-6f227d0460ad368bd473711a65dc0cecceeeb742b536649d01622d0787f9f22a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Biomechanical Phenomena</topic><topic>Biomechanical properties</topic><topic>Bone architecture</topic><topic>Elastic Modulus</topic><topic>Fractal dimension</topic><topic>Fractals</topic><topic>Humans</topic><topic>Mechanical Phenomena</topic><topic>Middle Aged</topic><topic>Radiology</topic><topic>Ribs - diagnostic imaging</topic><topic>Tensile Strength</topic><topic>X-Ray Microtomography</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Sanchez-Molina, David</creatorcontrib><creatorcontrib>Velazquez-Ameijide, Juan</creatorcontrib><creatorcontrib>Quintana, Víctor</creatorcontrib><creatorcontrib>Arregui-Dalmases, Carlos</creatorcontrib><creatorcontrib>Crandall, Jeff R</creatorcontrib><creatorcontrib>Subit, Damien</creatorcontrib><creatorcontrib>Kerrigan, Jason R</creatorcontrib><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><collection>Biotechnology Research Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Biotechnology and BioEngineering Abstracts</collection><jtitle>Medical engineering & physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Sanchez-Molina, David</au><au>Velazquez-Ameijide, Juan</au><au>Quintana, Víctor</au><au>Arregui-Dalmases, Carlos</au><au>Crandall, Jeff R</au><au>Subit, Damien</au><au>Kerrigan, Jason R</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Fractal dimension and mechanical properties of human cortical bone</atitle><jtitle>Medical engineering & physics</jtitle><addtitle>Med Eng Phys</addtitle><date>2013-05-01</date><risdate>2013</risdate><volume>35</volume><issue>5</issue><spage>576</spage><epage>582</epage><pages>576-582</pages><issn>1350-4533</issn><eissn>1873-4030</eissn><abstract>Abstract Fractal dimension (FD) can be used to characterize microstructure of porous media, particularly bone tissue. 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| subjects | Biomechanical Phenomena Biomechanical properties Bone architecture Elastic Modulus Fractal dimension Fractals Humans Mechanical Phenomena Middle Aged Radiology Ribs - diagnostic imaging Tensile Strength X-Ray Microtomography |
| title | Fractal dimension and mechanical properties of human cortical bone |
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