Assessment of Microelastic Properties of Bone Using Scanning Acoustic Microscopy: A Face-to-Face Comparison with Nanoindentation

The current work aimed at comparing, on site-matched cortical bone tissue, the micron-level elastic modulus Ea derived from 200 MHz-scanning acoustic microscopy (SAM) acoustic impedance (Z) combined with bone mineral density (assessed by synchrotron radiation microcomputed tomography, SR-µCT) to nanoindentation modulus En. A good correlation was observed between En and Z (R2=0.67, p<0.0001, root mean square error RMSE=1.9 GPa). The acoustical elastic modulus Ea derived from Z showed higher values of E compared to nanoindentation moduli. We assumed that the discrepancy between Ea and En values may likely be due to the fixed assumed value of Poisson's ratio while values comprised between 0.15 and 0.45 have been reported in the literature. Despite these differences, a highly significant correlation between Ea and En was found (R2=0.66, p<0.001, RMSE=1.8 GPa) suggesting that SAM can reliably be used as a modality to quantitatively map the local variations of tissue-level bone elasticity.

[1]  S. Goldstein,et al.  Elastic modulus and hardness of cortical and trabecular bone lamellae measured by nanoindentation in the human femur. , 1999, Journal of biomechanics.

[2]  D. Burr,et al.  Identification of material parameters based on Mohr-Coulomb failure criterion for bisphosphonate treated canine vertebral cancellous bone. , 2008, Bone.

[3]  D B Burr,et al.  Composition of the cement line and its possible mechanical role as a local interface in human compact bone. , 1988, Journal of biomechanics.

[4]  Françoise Peyrin,et al.  Bone microstructure and elastic tissue properties are reflected in QUS axial transmission measurements. , 2005, Ultrasound in medicine & biology.

[5]  G. Pharr,et al.  Measurement of hardness and elastic modulus by instrumented indentation: Advances in understanding and refinements to methodology , 2004 .

[6]  Himadri S. Gupta,et al.  Mechanical modulation at the lamellar level in osteonal bone , 2006 .

[7]  F Peyrin,et al.  Site-matched assessment of structural and tissue properties of cortical bone using scanning acoustic microscopy and synchrotron radiation μCT , 2006, Physics in medicine and biology.

[8]  G. Pharr,et al.  Variations in the individual thick lamellar properties within osteons by nanoindentation. , 1999, Bone.

[9]  P Chabrand,et al.  An alternative ultrasonic method for measuring the elastic properties of cortical bone. , 2002, Journal of biomechanics.

[10]  G. Pharr,et al.  Microstructural elasticity and regional heterogeneity in human femoral bone of various ages examined by nano-indentation. , 2002, Journal of biomechanics.

[11]  John D. Currey,et al.  Bones: Structure and Mechanics , 2002 .

[12]  Kay Raum,et al.  Assessment of composition and anisotropic elastic properties of secondary osteon lamellae. , 2006, Journal of biomechanics.

[13]  D Aubry,et al.  Effect of microstructure on the mechanical properties of Haversian cortical bone. , 2006, Bone.

[14]  Pascal Laugier,et al.  Ultrasonic Propagation Through Trabecular Bone Modeled as a Random Medium , 2008 .

[15]  F. Peyrin,et al.  Assessment of bone structure and acoustic impedance in C3H and BL6 mice using high resolution scanning acoustic microscopy. , 2006, Ultrasonics.

[16]  Françoise Peyrin,et al.  Quantification of the degree of mineralization of bone in three dimensions using synchrotron radiation microtomography. , 2002, Medical physics.

[17]  B. Bhushan,et al.  A Review of Nanoindentation Continuous Stiffness Measurement Technique and Its Applications , 2002 .

[18]  Laurence Besseau,et al.  Liquid crystalline assemblies of collagen in bone and in vitro systems. , 2003, Journal of biomechanics.

[19]  D. Burr The contribution of the organic matrix to bone's material properties. , 2002, Bone.

[20]  F Peyrin,et al.  How is the indentation modulus of bone tissue related to its macroscopic elastic response? A validation study. , 2003, Journal of biomechanics.

[21]  R. Rizzoli,et al.  Intrinsic bone tissue properties in adult rat vertebrae: modulation by dietary protein. , 2005, Bone.

[22]  G. Pharr,et al.  Mechanical and morphological variation of the human lumbar vertebral cortical and trabecular bone. , 1999, Journal of biomedical materials research.

[23]  J. Rho An ultrasonic method for measuring the elastic properties of human tibial cortical and cancellous bone. , 1996, Ultrasonics.

[24]  S A Goldstein,et al.  Heterogeneity of bone lamellar-level elastic moduli. , 2000, Bone.

[25]  Himadri S. Gupta,et al.  Structure and mechanical quality of the collagen–mineral nano-composite in bone , 2004 .

[26]  G. Pharr,et al.  The elastic properties of trabecular and cortical bone tissues are similar: results from two microscopic measurement techniques. , 1999, Journal of biomechanics.

[27]  P. Zysset,et al.  Nanoindentation discriminates the elastic properties of individual human bone lamellae under dry and physiological conditions. , 2002, Bone.

[28]  G. Pharr,et al.  An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments , 1992 .

[29]  P. Zysset,et al.  Morphological and Mechanical Properties of Bone Structural Units: A Two-Case Study , 2002 .

[30]  A. Boyde,et al.  Nanoindentation of bone: Comparison of specimens tested in liquid and embedded in polymethylmethacrylate , 2004 .

[31]  Kiyoshi Yokogawa,et al.  Surface oxidation of a Nb(100) single crystal by scanning tunneling microscopy , 2002 .

[32]  Kay Raum,et al.  Frequency and resolution dependence of the anisotropic impedance estimation in cortical bone using time-resolved scanning acoustic microscopy. , 2004, Journal of biomedical materials research. Part A.

[33]  Robin O Cleveland,et al.  Derivation of elastic stiffness from site-matched mineral density and acoustic impedance maps , 2006, Physics in medicine and biology.

[34]  G. Pharr,et al.  Elastic properties of human cortical and trabecular lamellar bone measured by nanoindentation. , 1997, Biomaterials.

[35]  H. Hein,et al.  Quantitative Measurements of the Mechanical Properties of Human Bone Tissues by Scanning Acoustic Microscopy , 2001, Annals of Biomedical Engineering.

[36]  J. Katz,et al.  Scanning Acoustic Microscopy Study of Human Cortical and Trabecular Bone , 2001, Annals of Biomedical Engineering.

[37]  I. Ihara,et al.  Elastic Constant Determinations of SiC/NiP Composite Coating by Surface Acoustic Wave and Nano-indentation , 2001 .

[38]  J Y Rho,et al.  Elastic properties of microstructural components of human bone tissue as measured by nanoindentation. , 1999, Journal of biomedical materials research.

[39]  S J Hollister,et al.  A global relationship between trabecular bone morphology and homogenized elastic properties. , 1998, Journal of biomechanical engineering.

[40]  J. Currey The many adaptations of bone. , 2003, Journal of biomechanics.

[41]  P. Laugier,et al.  Spatial distribution of anisotropic acoustic impedance assessed by time-resolved 50-MHz scanning acoustic microscopy and its relation to porosity in human cortical bone. , 2008, Bone.

[42]  P Zioupos,et al.  The anisotropic Young's modulus of equine secondary osteones and interstitial bone determined by nanoindentation. , 2001, The Journal of experimental biology.

[43]  Françoise Peyrin,et al.  Variations of microstructure, mineral density and tissue elasticity in B6/C3H mice. , 2007, Bone.

[44]  Pascal Laugier,et al.  Simulation of Ultrasound Propagation Through Three-Dimensional Trabecular Bone Structures: Comparison with Experimental Data , 2006 .