Idealized conductance: A new method to evaluate stiffness of trabecular bone

Stiffness is an important parameter to evaluate the condition of trabecular bone in biomechanical and clinical research. Microstructural parameters are commonly used to evaluate stiffness, but the accuracy needs to be improved. In this study, the electrical conductance of trabecular bone was calculated based on an idealized condition: trabeculae were electrically conductive and isotropy, other constituents in the trabecular bone were not considered in the simulation. The idealized conductance was calculated to evaluate the stiffness of trabecular bone, and the accuracy was compared with microstructural parameters. Twenty-one cubic trabecular cubes (5 × 5 × 5 mm³ ) from three femoral heads were investigated. Microstructural parameters were measured through Micro-CT scanning. Nominal elastic modulus (E) and idealized conductance (G) of trabecular cubes were measured through micro-finite element analysis. Bone volume fraction (BV/TV) is the major microstructural parameter that determine the stiffness of trabecular bone. The correlation coefficient between BV/TV and E along three directions were 0.815 (X-axis), 0.729 (Y-axis) and 0.914 (Z-axis). The correlation between G and E were stronger (X-axis: r = 0.986, Y-axis: r = 0.986, Z-axis: r = 0.991). A regression model combining different microstructural parameters was built to evaluate stiffness, but the correlation between them were not significantly improved (X-axis: r = 0.831, Y-axis: r = 0.807, Z-axis: r = 0.905). Compared with microstructural parameters, idealized conductance was a better parameter to evaluate stiffness of trabecular bone.