The aim of this study was to confirm whether rat cancellous and cortical bones are comprised of the same material and whether an analytical model can be devised to account for the compressive strength of cortical and trabecular bone based on its mineral and matrix compositions. The answer to this question will dictate whether to use a single or two distinct constitutive relationships describing the mechanical behavior of bone in general or cancellous and cortical bone separately in our computer tomography-based method to assess fracture risk in skeletal pathologies.
Two analytical models were developed. The first model considers cortical and cancellous bone mechanical properties describable by one relationship and is analyzed with a linear multiple regression analysis. The second model takes an analytic approach based on the physical relationships between bone mechanical properties and its apparent bone density analyzed by a non-linear regression model.
Cancellous- and cortical-only specimens were obtained from ten mature female rats from metaphysis and diaphysis, respectively, of the femur. Bone density was measured by Archimedes’ principle in a pycnometer and afterwards, the specimens were scanned in a micro-computed tomography system to examine bone mineral density and bone volume fraction (BV/TV). Biomechanical properties of the cancellous and cortical specimens were evaluated in a uniaxial monocyclic compression test. The structure and composition of the mineral part were analyzed by Fourier transform infrared spectroscopy (FTIR) and by ash content. The protein and collagen content of the organic matrix was examined by amino acid analysis.
There was no significant difference between cancellous and cortical bone specimens density. BV/TV for cancellous and cortical showed a mean value of 58.72 ±2.86 % and 36.63 ±4.16 %, respectively. An average Young’s modulus of 8.50 ±2.86 GPa for cortical specimen was measured, 3.4 times higher than trabecular specimen 2.47 ±1.68 GPa. The stiffness of cancellous specimen 720 N/mm was one tenth that of the cortical specimen and the post-yield behaviour of strain of the trabecular specimen was twice as much than cortical specimen. The matrix analysis showed that there is no significant difference in the content of protein and collagen between cancellous and cortical bone specimens. The mineral analysis presented a slightly higher value in ash content for trabecular bone 68.9 ±9.94% but no difference (p = 0.12) between them. FTIR determined the phosphate, carbonate, and protein/mineral content. These data showed that the phosphate content in the ν₄PO₄ domain in cancellous and cortical specimen had no difference (p = 0.25). The carbonate content in the ν₂CO₃ domain presented a weak trend that they are similar (p = 0.06). However, the protein/mineral ratio showed strong similarity (p = 0.89). From a material point of view, the p-values for the different compositional variables demonstrated no significant differences between the cancellous and cortical bone material compositions. On a structural level, the significant differences between the cancellous and cortical bone volume fractions, as expected, are based on their structural differences. The collagen content in protein demonstrated expected differences between cancellous and cortical bone specimens, since the collagen networks of the two bone structures are vastly different from one another. Linear regression analysis highlighted the importance of bone volume fraction by explaining 69% of behavior of Young’s modulus. The non-linear regression based model described 77% of the behavior of Young’s modulus based on bone’s structural and compositional parameters. While the descriptive power of this model is not as strong as the one generated by linear regression, it is however based on a well- understood relationship between bone strength and bone density.
In conclusion, this study provides insight into the compositional differences of adult rat cancellous and cortical bone, highlighting little or no differences between the compositions of the two bone types. However, a full analysis based on the entire dataset must be carried out to further confirm observation in this study.