scholarly journals Regression Analysis of Fracture Toughness for Secondary Osteons Located in Human Cortical Bone

2009 ◽  
Author(s):  
Chase A Fetzer
2019 ◽  
Vol 9 (1) ◽  
Author(s):  
Mustafa Unal ◽  
Sasidhar Uppuganti ◽  
Selin Timur ◽  
Anita Mahadevan-Jansen ◽  
Ozan Akkus ◽  
...  

2019 ◽  
Vol 38 (5) ◽  
pp. 972-983 ◽  
Author(s):  
Kelly Merlo ◽  
Jacob Aaronson ◽  
Rachana Vaidya ◽  
Taraneh Rezaee ◽  
Vijaya Chalivendra ◽  
...  

2008 ◽  
Vol 131 (2) ◽  
Author(s):  
Giampaolo Franzoso ◽  
Philippe K. Zysset

The identification of anisotropic elastic properties of lamellar bone based on nanoindentation data is an open problem. Therefore, the purpose of this study was to develop a method to estimate the orthotropic elastic constants of human cortical bone secondary osteons using nanoindentation in two orthogonal directions. Since the indentation modulus depends on all elastic constants and, for anisotropic materials, also on the indentation direction, a theoretical model quantifying the indentation modulus from the stiffness tensor of a given material was implemented numerically (Swadener and Pharr, 2001, “Indentation of Elastically Anisotropic Half-Spaces by Cones and Parabolae of Revolution,” Philos. Mag. A, 81(2), pp. 447–466). Nanoindentation was performed on 22 osteons of the distal femoral shaft: A new holding system was designed in order to indent the same osteon in two orthogonal directions. To interpret the experimental results and identify orthotropic elastic constants, an inverse procedure was developed by using a fabric-based elastic model for lamellar bone. The experimental indentation moduli were found to vary with the indentation direction and showed a marked anisotropy. The estimated elastic constants showed different degrees of anisotropy among secondary osteons of the same bone and these degrees of anisotropy were also found to be different than the one of cortical bone at the macroscopic level. Using the log-Euclidean norm, the relative distance between the compliance tensors of the estimated mean osteon and of cortical bone at the macroscopic level was 9.69%: Secondary osteons appeared stiffer in their axial and circumferential material directions, and with a greater bulk modulus than cortical bone, which is attributed to the absence of vascular porosity in osteonal properties. The proposed method is suitable for identification of elastic constants from nanoindentation experiments and could be adapted to other (bio)materials, for which it is possible to describe elastic properties using a fabric-based model.


2016 ◽  
Vol 49 (13) ◽  
pp. 2748-2755 ◽  
Author(s):  
Mathilde Granke ◽  
Alexander J. Makowski ◽  
Sasidhar Uppuganti ◽  
Jeffry S. Nyman

Bone ◽  
2019 ◽  
Vol 120 ◽  
pp. 187-193 ◽  
Author(s):  
Thomas L. Willett ◽  
Daniel Y. Dapaah ◽  
Sasidhar Uppuganti ◽  
Mathilde Granke ◽  
Jeffry S. Nyman

2017 ◽  
Vol 71 (10) ◽  
pp. 2385-2394 ◽  
Author(s):  
Alexander J. Makowski ◽  
Mathilde Granke ◽  
Oscar D. Ayala ◽  
Sasidhar Uppuganti ◽  
Anita Mahadevan-Jansen ◽  
...  

A decline in the inherent quality of bone tissue is a † Equal contributors contributor to the age-related increase in fracture risk. Although this is well-known, the important biochemical factors of bone quality have yet to be identified using Raman spectroscopy (RS), a nondestructive, inelastic light-scattering technique. To identify potential RS predictors of fracture risk, we applied principal component analysis (PCA) to 558 Raman spectra (370–1720 cm–1) of human cortical bone acquired from 62 female and male donors (nine spectra each) spanning adulthood (age range = 21–101 years). Spectra were analyzed prior to R-curve, nonlinear fracture mechanics that delineate crack initiation (Kinit) from crack growth toughness (Kgrow). The traditional ν1phosphate peak per amide I peak (mineral-to-matrix ratio) weakly correlated with Kinit (r = 0.341, p = 0.0067) and overall crack growth toughness (J-int: r = 0.331, p = 0.0086). Sub-peak ratios of the amide I band that are related to the secondary structure of type 1 collagen did not correlate with the fracture toughness properties. In the full spectrum analysis, one principal component (PC5) correlated with all of the mechanical properties (Kinit: r = − 0.467, Kgrow: r = − 0.375, and J-int: r = − 0.428; p < 0.0067). More importantly, when known predictors of fracture toughness, namely age and/or volumetric bone mineral density (vBMD), were included in general linear models as covariates, several PCs helped explain 45.0% (PC5) to 48.5% (PC7), 31.4% (PC6), and 25.8% (PC7) of the variance in Kinit, Kgrow, and J-int, respectively. Deriving spectral features from full spectrum analysis may improve the ability of RS, a clinically viable technology, to assess fracture risk.


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