Relationship between architectural parameters and sample volume of human cancellous bone in micro-CT scanning

Yan, Ya-Bo<sup>1</sup>; Qi, Wei<sup>1,2</sup>; Wang, Jun<sup>1</sup>; Liu, Lin-Feng<sup>3</sup>; Teo, Ee-Chon<sup>4</sup>; Tianxia, Qiu<sup>4</sup>; Ba, Jing-jing<sup>1</sup>; Lei, Wei<sup>1</sup>

Affiliations

¹Department of Orthopedics, Xijing Hospital, Fourth Military Medical University, Xi’an, China

²Surgery Department of 520th Hospital of PLA, Mian Yang, China

³SKLMS Lab and MOE KLINNS Lab, Xi’an Jiaotiong University, Xi’an, China

⁴School of Mechanical and Aerospace Engineering, Nanyang Technological University, Singapore

Abstract and keywords

Truly representative architectural parameters of trabeculea can be extremely difficult to achieve based on scanning images because of variable porosity and distribution of trabeculae within the specific overall scanned volume of bone. Accordingly, in present study different selective volume of interests, measured from centroid of μ-CT scanned human vertebral body, were analyzed to determine the architectural parameters (BV/TV, BS/BV, Tb.Th, Tb.N, Tb.Sp) of trabeculae within these volumes and to suggest an optimal volume for representative architectural parameters of the overall scanned volume. Nonlinear curve fitting method was also applied to obtain the correlation between the parameters and the volume of interests. The results show different volumes of interests give different morphological indices of BV/TV, BS/BV, Tb.N and Tb.Sp within a specific scanned vertebral body. Tb.Th shows relatively small variation (0.8%) even with sample volume of less than (2 mm)³. Statistical analysis shows that with sample volume of less than (6 mm)³, significant different in the measured BV/TV comparing against the control group. Tb.N and Tb.Sp show significant different values against the control group for volume of interest less than (4 mm)³ and (5 mm)³, respectively. However, no significant differences were observed in the indices of BS/BV and Tb.Th. Present study shows that an optimal volume of interests of greater than (6 mm)³ be selected to predict the architectural parameters of trabeculae of human vertebral bodies.

Keywords: Cancellous bone; Architectural parameters; Micro-computed tomography; Volume of interests

Links

DOI: 10.1016/j.medengphy.2011.01.014

PubMed: 21354360

WoS: 000293117700011

History

Received: 2010-05-11

Revised: 2011-01-27

Accepted: 2011-01-27

Online: 2011-02-25

Cited Works (20)

Year	Entry
1987	Lorensen WE, Cline HE. Marching cubes: a high resolution 3D surface construction algorithm. Comput Graph. 1987;21(4):163-169.
2006	van Lenthe GH, Stauber M, Müller R. Specimen-specific beam models for fast and accurate prediction of human trabecular bone mechanical properties. Bone. December 2006;39(6):1182-1189.
1994	Guilak F. Volume and surface area measurement of viable chondrocytes in situ using geometric modelling of serial confocal sections. J Microsc (Oxford). March 1994;173(3):245-256.
2009	Mc Donnell P, Harrison N, Liebschner MAK, Mc Hugh PE. Simulation of vertebral trabecular bone loss using voxel finite element analysis. J Biomech. 2009;42(16):2789-2796.
1994	Müller R, Hildebrand T, Rüegsegger P. Non-invasive bone biopsy: a new method to analyse and display the three-dimensional structure of trabecular bone. Phys Med Biol. January 1994;39(1):145-164.
2002	Kim HS, Al-Hassan STS. A morphological model of vertebral trabecular bone. J Biomech. August 2002;35(8):1101-1114.
2007	Hulme PA, Boyd SK, Ferguson SJ. Regional variation in vertebral bone morphology and its contribution to vertebral fracture strength. Bone. December 2007;41(6):946-957.
2007	Perilli E, Baleani M, Öhman C, Baruffaldi F, Viceconti M. Structural parameters and mechanical strength of cancellous bone in the femoral head in osteoarthritis do not depend on age. Bone. November 2007;41(5):760-768.
2009	Bevill G, Keaveny TM. Trabecular bone strength predictions using finite element analysis of micro-scale images at limited spatial resolution. Bone. April 2009;44(4):579-584.
1995	Grote HJ, Amling M, Vogel M, Hahn M, Pösl M, Delling G. Intervertebral variation in trabecular microarchitecture throughout the normal spine in relation to age. Bone. March 1995;16(3):301-308.
2008	Yeni YN, Zelman EA, Divine GW, Kim D-G, Fyhrie DP. Trabecular shear stress amplification and variability in human vertebral cancellous bone: relationship with age, gender, spine level and trabecular architecture. Bone. March 2008;42(3):591-596.
2008	Wu Z-x, Lei W, Hu Y-y, Wang H-q, Wan S-y, Ma Z-s, Sang H-x, Fu S-c, Han Y-s. Effect of ovariectomy on BMD, micro-architecture and biomechanics of cortical and cancellous bones in a sheep model. Med Eng Phys. 2008;30(9):1112-1118.
2005	Gibson LJ. Biomechanics of cellular solids. J Biomech. 2005;38(3):377-399.
1997	Hildebrand T, Rüegsegger P. A new method for the model-independent assessment of thickness in three-dimensional images. J Microsc (Oxford). 1997;185(1):67-75.
1979	Otsu N. A threshold selection method from gray-level histograms. IEEE Trans Sys Man Cyb. 1979;9(1):62-66.
2009	Liu XS, Bevill G, Keaveny TM, Sajda P, Guo XE. Micromechanical analyses of vertebral trabecular bone based on individual trabeculae segmentation of plates and rods. J Biomech. February 9, 2009;42(3):249-256.
2009	Liu XS, Zhang XH, Guo XE. Contributions of trabecular rods of various orientations in determining the elastic properties of human vertebral trabecular bone. Bone. August 2009;45(2):158-163.
2003	Kowalczyk P. Elastic properties of cancellous bone derived from finite element models of parameterized microstructure cells. J Biomech. July 2003;36(7):961-972.
2003	Morgan EF, Bayraktar HH, Keaveny TM. Trabecular bone modulus–density relationships depend on anatomic site. J Biomech. July 2003;36(7):897-904.
2004	Siu WS, Qin L, Cheung WH, Leung KS. A study of trabecular bones in ovariectomized goats with micro-computed tomography and peripheral quantitative computed tomography. Bone. 2004;35(1):21-26.

Cited By (4)

Year	Entry
2021	Bennison MBL, Pilkey AK, Lievers WB. Misalignment error in cancellous bone apparent elastic modulus depends on bone volume fraction and degree of anisotropy. J Biomech Eng. February 2021;143(2):021005.
2021	Bennison MBL, Pilkey AK, Lievers WB. Evaluating a theoretical and an empirical model of "side effects" in cancellous bone. Med Eng Phys. August 2021;94:8-15.
2020	Bennison MBL. The Role of Cancellous Bone Architecture in Misalignment and Side Effect Errors [Master's thesis]. Sudbury, ON: Laurentian University; 2020.
2020	Belda González R. Mechanical and Morphometric Characterization of Cancellous Bone [PhD thesis]. Universität Politècnica de València; March 2020.