Combining ultrasonic and computed tomography scanning to characterize mechanical properties of cancellous bone in necrotic human femoral heads

Yue, Yue<sup>1</sup>; Yang, Haisheng<sup>2</sup>; Li, Yan<sup>3</sup>; Zhong, Honggang<sup>3</sup>; Tang, Qi<sup>1</sup>; Wang, Jiantong<sup>4</sup>; Wang, Rongtian<sup>3</sup>; He, Haijun<sup>3</sup>; Chen, Weiheng<sup>3</sup>; Chen, Duanduan<sup>1</sup>

Affiliations

¹School of Life Science, Beijing Institute of Technology, Beijing 100081, China

²Department of Biomedical Engineering, College of Life Science and Bioengineering, Beijing University of Technology, China

³Department of Osteoarthropathy, Wangjing Hospital, Beijing, China

⁴The High School Affiliated to Renmin University of China, Beijing, China

Abstract and keywords

Image-based finite element modelling has been commonly used to determine the biomechanical behaviours of human femora, particularly for the diagnosis of femoral head necrosis. One of the fundamental aspects of biomechanical modelling is the relationship between bone density, which is obtained from images, and elastic modulus. While there exist some empirical equations relating density with elastic modulus, the characterization of this relationship remains incomplete, especially for necrotic femoral heads. The objective of this study was to determine the relationship between density and elastic modulus by combining ultrasonic scanning and computed tomography (CT). Bone specimens were surgically removed from the femora of eight persons (seven females and one male in the age range of 55–68 years old) and underwent both ultrasonic and CT scanning. The images were processed with MATLAB scripts, and a bilinear interpolation algorithm was used to determine the relationship between the CT-measured densities and ultrasound-measured elastic moduli. The results showed different density–elastic modulus relations between the hardening strap of the necrotic region and non-hardening strap areas of the necrotic region. The uniqueness of this study is the characterization of mechanical properties (in the present study, the density–modulus relationship) from clinical images, which would be valuable in computational biomechanics used for the diagnosis and treatment evaluation of femoral head necrosis.

Keywords: Femoral head necrosis; Ultrasonic scanning; Computed tomography; Elastic modulus; Mechanical properties

Links

DOI: 10.1016/j.medengphy.2019.02.002

PubMed: 30772180

WoS: 000467002700002

History

Received: 2018-04-27

Revised: 2019-01-30

Accepted: 2019-02-01

Cited Works (20)

Year	Entry
2008	Helgason B, Perilli E, Schileo E, Taddei F, Brynjólfsson S, Viceconti M. Mathematical relationships between bone density and mechanical properties: a literature review. Clin Biomech (Bristol, Avon). 2008;23(2):135-146.
2006	Peng L, Bai J, Zeng X, Zhou Y. Comparison of isotropic and orthotropic material property assignments on femoral finite element models under two loading conditions. Med Eng Phys. April 2006;28(3):227-233.
1989	Ashman RB, Rho JY, Turner CH. Anatomical variation of orthotropic elastic moduli of the proximal human tibia. J Biomech. 1989;22(8-9):895-900.
2002	Taylor WR, Roland E, Ploeg H, Hertig D, Klabunde R, Warner MD, Hobatho MC, Rakotomanana L, Clift SE. Determination of orthotropic bone elastic constants using FEA and modal analysis. J Biomech. June 2002;35(6):767-773.
1994	Keller TS. Predicting the compressive mechanical behavior of bone. J Biomech. September 1994;27(9):1159-1168.
2007	Taddei F, Schileo E, Helgason B, Cristofolini L, Viceconti M. The material mapping strategy influences the accuracy of ct-based finite element models of bones: an evaluation against experimental measurements. Med Eng Phys. 2007;29(9):973-979.
1997	Ouyang J, Yang GT, Wu WZ, Zhu QA, Zhong SZ. Biomechanical characteristics of human trabecular bone. Clin Biomech (Bristol, Avon). October 1997;12(7-8):522-524.
2008	Austman RL, Milner JS, Holdsworth DW, Dunning CE. The effect of the density–modulus relationship selected to apply material properties in a finite element model of long bone. J Biomech. November 14, 2008;41(15):3171-3176.
2000	Ciarelli TE, Fyhrie DP, Schaffler MB, Goldstein SA. Variations in three‐dimensional cancellous bone architecture of the proximal femur in female hip fractures and in controls. J Bone Miner Res. 2000;15(1):32-40.
2015	Katsamenis OL, Jenkins T, Thurner PJ. Toughness and damage susceptibility in human cortical bone is proportional to mechanical inhomogeneity at the osteonal-level. Bone. July 2015;76:158-168.
2003	Morgan EF, Bayraktar HH, Keaveny TM. Trabecular bone modulus–density relationships depend on anatomic site. J Biomech. July 2003;36(7):897-904.
1993	Dalstra M, Huiskes R, Odgaard A, van Erning L. Mechanical and textural properties of pelvic trabecular bone. J Biomech. April–May 1993;26(4-5):523-535.
1977	Carter DR, Hayes WC. The compressive behavior of bone as a two-phase porous structure. J Bone Joint Surg. 1977;59A(7):954-962.
1995	Rho JY, Hobatho MC, Ashman RB. Relations of mechanical properties to density and CT numbers in human bone. Med Eng Phys. July 1995;17(5):347-355.
1993	Rho JY, Ashman RB, Turner CH. Young's modulus of trabecular and cortical bone material: ultrasonic and microtensile measurements. J Biomech. February 1993;26(2):111-119.
1990	Keyak JH, Meagher JM, Skinner HB, Mote CD Jr. Automated three-dimensional finite element modelling of bone: a new method. J Biomed Eng. 1990;12(5):389-397.
1984	Ashman RB, Cowin SC, Van Buskirk WC, Rice JC. A continuous wave technique for the measurement of the elastic properties of cortical bone. J Biomech. 1984;17(5):349-361.
1992	Keyak JH, Skinner HB. Three-dimensional finite element modelling of bone: effects of element size. J Biomed Eng. 1992;14(6):483-489.
2004	Kaneko TS, Bell JS, Pejcic MR, Tehranzadeh J, Keyak JH. Mechanical properties, density and quantitative CT scan data of trabecular bone with and without metastases. J Biomech. April 2004;37(4):523-530.
2007	Öhman C, Baleani M, Perilli E, Dall’Ara E, Tassani S, Baruffaldi F, Viceconti M. Mechanical testing of cancellous bone from the femoral head: experimental errors due to off-axis measurements. J Biomech. 2007;40(11):2426-2433.