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Mathematical rendering of trabecular bone microarchitecture using stochastic geometry and Voronoi tessellation methods.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Mathematical rendering of trabecular bone microarchitecture using stochastic geometry and Voronoi tessellation methods./
作者:	Montelongo, Sergio Alejandro.
面頁冊數:	1 online resource (98 pages)
附註:	Source: Masters Abstracts International, Volume: 75-01.
Contained By:	Masters Abstracts International75-01.
標題:	Biomechanics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=1538371click for full text (PQDT)
ISBN:	9781303113680

Mathematical rendering of trabecular bone microarchitecture using stochastic geometry and Voronoi tessellation methods.
Montelongo, Sergio Alejandro.

Mathematical rendering of trabecular bone microarchitecture using stochastic geometry and Voronoi tessellation methods. - 1 online resource (98 pages)

Source: Masters Abstracts International, Volume: 75-01.

Thesis (M.S.)--The University of Texas at San Antonio, 2013.

Includes bibliographical references

The architecture of trabecular bone is important to the overall stability and strength of load-bearing bones. Recently, numerical simulations of mechanical performance of vertebrae and long bones under different loading conditions have become a promising approach to predict bone fragility failures. However, determination of trabecular architecture is still relying on imaging modalities from individual patients or donors, which is extremely time-consuming and costly. As an effort to quantify the complex architecture of trabecular (cancellous) bone, we proposed a novel approach that combines stochastic and Voronoi tessellation techniques to numerically generate 3-D trabecular architecture that can mimic real trabecular bones. This thesis is the first step to establish such mathematical model, in which we focus on one aspect of trabecular microarchitecture: i.e. the spatial distribution of rod-rod and rod-plate joints. Our eventual goal is to develop a mathematical tool that can be used to accurately predict bone fragility fractures under different circumstances.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2023

Mode of access: World Wide Web

ISBN: 9781303113680Subjects--Topical Terms:

548685
Biomechanics.
Subjects--Index Terms:

BiomechanicsIndex Terms--Genre/Form:

542853
Electronic books.

Mathematical rendering of trabecular bone microarchitecture using stochastic geometry and Voronoi tessellation methods.
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500 $a Source: Masters Abstracts International, Volume: 75-01.
500 $a Publisher info.: Dissertation/Thesis.
500 $a Advisor: Wang, Xiaodu.
502 $a Thesis (M.S.)--The University of Texas at San Antonio, 2013.
504 $a Includes bibliographical references
520 $a The architecture of trabecular bone is important to the overall stability and strength of load-bearing bones. Recently, numerical simulations of mechanical performance of vertebrae and long bones under different loading conditions have become a promising approach to predict bone fragility failures. However, determination of trabecular architecture is still relying on imaging modalities from individual patients or donors, which is extremely time-consuming and costly. As an effort to quantify the complex architecture of trabecular (cancellous) bone, we proposed a novel approach that combines stochastic and Voronoi tessellation techniques to numerically generate 3-D trabecular architecture that can mimic real trabecular bones. This thesis is the first step to establish such mathematical model, in which we focus on one aspect of trabecular microarchitecture: i.e. the spatial distribution of rod-rod and rod-plate joints. Our eventual goal is to develop a mathematical tool that can be used to accurately predict bone fragility fractures under different circumstances.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2023
538 $a Mode of access: World Wide Web
650 4 $a Biomechanics. $3 548685
650 4 $a Applied mathematics. $3 2122814
653 $a Biomechanics
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653 $a Tessellation
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653 $a Voronoi
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