Crown-To-Root Ratios in Terms of Length, Surface Area and Volume: A Pilot Study of Premolars

The objective of this study was to construct three-dimensional (3D) images of premolars to measure the length, surface area and volume of crown and root and to analyze the mathematical relation among crown-to-root ratios in terms of length, surface area and volume. Twenty-five premolars were scanned...

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Autores principales:	Liu,Lin, Li,Hongbo, Zhao,Tong, Gao,Yuxuan, Guo,Jing, Wang,Xiaoyu, Li,Xuesheng
Lenguaje:	English
Publicado:	Sociedad Chilena de Anatomía 2016
Materias:	Bicuspid Tooth crown Tooth root
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0717-95022016000200009
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spelling	oai:scielo:S0717-950220160002000092016-07-13Crown-To-Root Ratios in Terms of Length, Surface Area and Volume: A Pilot Study of PremolarsLiu,LinLi,HongboZhao,TongGao,YuxuanGuo,JingWang,XiaoyuLi,Xuesheng Bicuspid Tooth crown Tooth root The objective of this study was to construct three-dimensional (3D) images of premolars to measure the length, surface area and volume of crown and root and to analyze the mathematical relation among crown-to-root ratios in terms of length, surface area and volume. Twenty-five premolars were scanned using micro-computed tomography (micro CT) in vitro to build 3D models. The long axis and enamelo-cemental junction of each tooth were determined with the help of Geomagic Studio software, and the length, surface and volume of crown and root were measured. The crown-to-root ratios in terms of length, surface and volume were calculated and the relationship among length, surface area and volume of crown and root as well their ratios were analyzed using SPSS software. The interrelationship among crown length (x), surface area (y) and volume (z) could be expressed as z= -808.2 0+ 124.80x +3.35y -5.59x2-0.14xy+3.47y 210-4 (R2 = 0.99) and that of root length (x1), surface area (y1) and volume (z1), as z1= -207.50 +13.87x1+1.75y1 + 5.03x1210-2-8.05x 1y1 10-2+ 2.5810-3y12 (R2 = 0.93) . The correlation among crown-to-root ratio in length(x2), crown-to-root ratio in surface area (y2) and crown-to-root ratio in volume (z2) could be expressed in z2= -4.4810-2 -1.25x210-2+1.20y2 + 3.29x22-5.05x2y2 + 2.00y22 (R2 = 0.96). The length, surface area and volume of crown and root of premolars share a close relationship, while, a definite mathematical relation could be observed amongst their ratios. Crown to root ratio in terms of length, surface and volume, may provide a novel multi-criterion method for evaluating tooth function.info:eu-repo/semantics/openAccessSociedad Chilena de AnatomíaInternational Journal of Morphology v.34 n.2 20162016-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0717-95022016000200009en10.4067/S0717-95022016000200009
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Bicuspid Tooth crown Tooth root
spellingShingle	Bicuspid Tooth crown Tooth root Liu,Lin Li,Hongbo Zhao,Tong Gao,Yuxuan Guo,Jing Wang,Xiaoyu Li,Xuesheng Crown-To-Root Ratios in Terms of Length, Surface Area and Volume: A Pilot Study of Premolars
description	The objective of this study was to construct three-dimensional (3D) images of premolars to measure the length, surface area and volume of crown and root and to analyze the mathematical relation among crown-to-root ratios in terms of length, surface area and volume. Twenty-five premolars were scanned using micro-computed tomography (micro CT) in vitro to build 3D models. The long axis and enamelo-cemental junction of each tooth were determined with the help of Geomagic Studio software, and the length, surface and volume of crown and root were measured. The crown-to-root ratios in terms of length, surface and volume were calculated and the relationship among length, surface area and volume of crown and root as well their ratios were analyzed using SPSS software. The interrelationship among crown length (x), surface area (y) and volume (z) could be expressed as z= -808.2 0+ 124.80x +3.35y -5.59x2-0.14xy+3.47y 210-4 (R2 = 0.99) and that of root length (x1), surface area (y1) and volume (z1), as z1= -207.50 +13.87x1+1.75y1 + 5.03x1210-2-8.05x 1y1 10-2+ 2.5810-3y12 (R2 = 0.93) . The correlation among crown-to-root ratio in length(x2), crown-to-root ratio in surface area (y2) and crown-to-root ratio in volume (z2) could be expressed in z2= -4.4810-2 -1.25x210-2+1.20y2 + 3.29x22-5.05x2y2 + 2.00y22 (R2 = 0.96). The length, surface area and volume of crown and root of premolars share a close relationship, while, a definite mathematical relation could be observed amongst their ratios. Crown to root ratio in terms of length, surface and volume, may provide a novel multi-criterion method for evaluating tooth function.
author	Liu,Lin Li,Hongbo Zhao,Tong Gao,Yuxuan Guo,Jing Wang,Xiaoyu Li,Xuesheng
author_facet	Liu,Lin Li,Hongbo Zhao,Tong Gao,Yuxuan Guo,Jing Wang,Xiaoyu Li,Xuesheng
author_sort	Liu,Lin
title	Crown-To-Root Ratios in Terms of Length, Surface Area and Volume: A Pilot Study of Premolars
title_short	Crown-To-Root Ratios in Terms of Length, Surface Area and Volume: A Pilot Study of Premolars
title_full	Crown-To-Root Ratios in Terms of Length, Surface Area and Volume: A Pilot Study of Premolars
title_fullStr	Crown-To-Root Ratios in Terms of Length, Surface Area and Volume: A Pilot Study of Premolars
title_full_unstemmed	Crown-To-Root Ratios in Terms of Length, Surface Area and Volume: A Pilot Study of Premolars
title_sort	crown-to-root ratios in terms of length, surface area and volume: a pilot study of premolars
publisher	Sociedad Chilena de Anatomía
publishDate	2016
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0717-95022016000200009
work_keys_str_mv	AT liulin crowntorootratiosintermsoflengthsurfaceareaandvolumeapilotstudyofpremolars AT lihongbo crowntorootratiosintermsoflengthsurfaceareaandvolumeapilotstudyofpremolars AT zhaotong crowntorootratiosintermsoflengthsurfaceareaandvolumeapilotstudyofpremolars AT gaoyuxuan crowntorootratiosintermsoflengthsurfaceareaandvolumeapilotstudyofpremolars AT guojing crowntorootratiosintermsoflengthsurfaceareaandvolumeapilotstudyofpremolars AT wangxiaoyu crowntorootratiosintermsoflengthsurfaceareaandvolumeapilotstudyofpremolars AT lixuesheng crowntorootratiosintermsoflengthsurfaceareaandvolumeapilotstudyofpremolars
_version_	1718444957348397056

Crown-To-Root Ratios in Terms of Length, Surface Area and Volume: A Pilot Study of Premolars

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