Trabecular shear stress amplification and variability in human vertebral cancellous bone: relationship with age, gender, spine level and trabecular architecture

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Yeni, Yener N.¹; Zelman, Eric A.¹; Divine, George W.²; Kim, Do-Gyoon¹; Fyhrie, David P.³

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

©2007 Biomechanics; Stress/strain; Mechanical loading; Aging; Osteoporosis

Affiliations

¹Bone and Joint Center, Henry Ford Hospital, Detroit, MI, USA

²Biostatistics and Research Epidemiology, Henry Ford Hospital, Detroit, MI, USA

³Department of Orthopaedic Surgery, University of California Davis, Sacramento, CA, USA
Abstract and keywords

Trabecular shear stress magnitude and variability have been implicated in damage formation and reduced bone strength associated with bone loss for human vertebral bone. This study addresses the issue of whether these parameters change with age, gender or anatomical location, and if so whether this is independent of bone mass. Additionally, 3D-stereology-based architectural parameters were examined in order to establish the relationship between stress distribution parameters and trabecular architecture. Eighty cancellous bone specimens were cored from the anterior region of thoracic 12 and donor-matched lumbar 1 vertebrae from a randomly selected population of 40 cadavers. The specimens were scanned at 21-μm voxel size using microcomputed tomography (μCT) and reconstructed at 50μm. Bone volume fraction (BV/TV), trabecular number (Tb.N), trabecular thickness (Tb.Th), trabecular separation (Tb.Sp), bone surface-to-volume ratio (BS/BV), degree of anisotropy (MIL1/MIL3), and connectivity density (-#Euler/Vol) were calculated directly from micro-CT images. Large-scale finite element models were constructed and superoinferior compressive loading was simulated. Apparent cancellous modulus (E_FEM) was calculated. The average trabecular von Mises stress generated per uniaxial apparent stress (σ̅_VM/σ_app) and coefficient of variation of trabecular von Mises stresses (COV) were calculated as measures of the magnitude and variability of shear stresses in the trabeculae. Mixed-models and regression were used for analysis. σ̅_VM/σ_app and COV were not different between genders and vertebrae. Both σ̅_VM/σ_app and COV increased with age accompanied by a decrease in BV/TV. Strong relationship of σ̅_VM/σ_app with BV/TV was found whereas COV was strongly related to E_FEM/(BV/TV). The results from T12 and L1 were not different and highly correlated with each other. The relationship of σ̅_VM/σ_app with COV was observed to be different between males and females. This difference could not be explained by architectural parameters considered in this study. Our results support the relevance of trabecular shear stress amplification and variability in age-related vertebral bone fragility. The relationships found are expected to help understand the micro-mechanisms by which cancellous bone mass and mechanical properties are modulated through a collection of local stress parameters.

Keywords: Biomechanics; Stress/strain; Mechanical loading; Aging; Osteoporosis
Links

DOI: 10.1016/j.bone.2007.11.011

PubMed: 18180212

WoS: 000253799500016
History

Received: 2007-05-01

Revised: 2007-09-26

Accepted: 2007-11-20

Online: 2007-12-04

Cited Works (18)

Year	Entry
2000	Day JS, Ding M, Odgaard A, Sumner DR, Hvid I, Weinans H. Parallel plate model for trabecular bone exhibits volume fraction-dependent bias. Bone. November 2000;27(5):715-720.
2006	Eswaran SK, Gupta A, Adams MF, Keaveny TM. Cortical and trabecular load sharing in the human vertebral body. J Bone Miner Res. February 2006;21(2):307-314.
1994	Goulet RW, Goldstein SA, Ciarelli MJ, Kuhn JL, Brown MB, Feldkamp LA. The relationship between the structural and orthogonal compressive properties of trabecular bone. J Biomech. April 1994;27(4):375-389.
1998	Hou FJ, Lang SM, Hoshaw SJ, Reimann DA, Fyhrie DP. Human vertebral body apparent and hard tissue stiffness. J Biomech. November 1998;31(11):1009-1015.
1997	Silva MJ, Keaveny TM, Hayes WC. Load sharing between the shell and centrum in the lumbar vertebral body. Spine. January 1997;22(2):140-150.
1989	Mosekilde L. Sex differences in age-related loss of vertebral trabecular bone mass and structure—biomechanical consequences. Bone. 1989;10(6):425-432.
2004	Kim D-G, Christopherson GT, Dong XN, Fyhrie DP, Yeni YN. The effect of microcomputed tomography scanning and reconstruction voxel size on the accuracy of stereological measurements in human cancellous bone. Bone. December 2004;35(6):1375-1382.
2005	Yeni YN, Christopherson GT, Dong XN, Kim D-G, Fyhrie DP. Effect of microcomputed tomography voxel size on the finite element model accuracy for human cancellous bone. J Biomech Eng. February 2005;127(1):1-8.
2001	Yeni YN, Fyhrie DP. Finite element calculated uniaxial apparent stiffness is a consistent predictor of uniaxial apparent strength in human vertebral cancellous bone tested with different boundary conditions. J Biomech. December 2001;34(12):1649-1654.
2001	Cao KD, Grimm MJ, Yang K-H. Load sharing within a human lumbar vertebral body using the finite element method. Spine. June 5, 2001;26(12):E253-E260.
1985	McBroom RJ, Hayes WC, Edwards WT, Goldberg RP, White AA III. Prediction of vertebral body compressive fracture using quantitative computed tomography. J Bone Joint Surg. 1985;67A(8):1206-1214.
2000	Fyhrie DP, Hoshaw SJ, Hamid MS, Hou FJ. Shear stress distribution in the trabeculae of human vertebral bone. Ann Biomed Eng. October 2000;28(10):1194-1199.
1996	Wenzel TE, Schaffler MB, Fyhrie DP. In vivo trabecular microcracks in human vertebral bone. Bone. August 1996;19(2):89-95.
1989	Feldkamp LA, Goldstein SA, Parfitt MA, Jesion G, Kleerekoper M. The direct examination of three‐dimensional bone architecture in vitro by computed tomography. J Bone Miner Res. 1989;4(1):3-11.
1999	Hildebrand T, Laib A, Müller R, Dequeker J, Rüegsegger P. Direct three-dimensional morphometric analysis of human cancellous bone: microstructural data from spine, femur, iliac crest, and calcaneus. J Bone Miner Res. July 1999;14(7):1167-1174.
1991	Cody DD, Goldstein SA, Flynn MJ, Brown EB. Correlations between vertebral regional bone mineral density (rBMD) and whole bone fracture load. Spine. 1991;16(2):146-154.
2004	Bourne BC, van der Meulen MCH. Finite element models predict cancellous apparent modulus when tissue modulus is scaled from specimen CT-attenuation. J Biomech. May 2004;37(5):613-621.
2003	Yeni YN, Hou FJ, Ciarelli T, Vashishth D, Fyhrie DP. Trabecular shear stresses predict in vivo linear microcrack density but not diffuse damage in human vertebral cancellous bone. Ann Biomed Eng. June 2003;31(6):726-732.

Cited By (7)

Year	Entry
2018	Hammond MA, Wallace JM, Allen MR, Siegmund T. Incorporating tissue anisotropy and heterogeneity in finite element models of trabecular bone altered predicted local stress distributions. Biomech Model Mechanobiol. April 2018;17(2):605-614.
2011	Green JO, Nagaraja S, Diab T, Vidakovic B, Guldberg RE. Age-related changes in human trabecular bone: relationship between microstructural stress and strain and damage morphology. J Biomech. 2011;44(12):2279-2285.
2011	Yan Y-B, Qi W, Wang J, Liu L-F, Teo E-C, Tianxia Q, Ba J-j, Lei W. Relationship between architectural parameters and sample volume of human cancellous bone in micro-CT scanning. Med Eng Phys. July 2011;33(6):764-769.
2011	O'Neal JM. The Effects of Aging and Remodeling on Bone Quality and Microdamage [PhD thesis]. Atlanta, GA: Georgia Institute of Technology; August 2011.
2020	Bennison MBL. The Role of Cancellous Bone Architecture in Misalignment and Side Effect Errors [Master's thesis]. Sudbury, ON: Laurentian University; 2020.
2009	Lievers WB. Effects of Geometric and Material Property Changes on the Apparent Elastic Properties of Cancellous Bone [PhD thesis]. Queen's University; April 2009.
2009	Janssen DW. Macro- and Micromechanics of Cemented Total Hip Arthroplasty [PhD thesis]. Radboud University; 2009.