On the prediction of Young's modulus in calcaneal cancellous bone by ultrasonic bulk and bar velocity measurements

This study evaluated two different approaches to the prediction of Young's modulus (E) from ultrasonic velocity and density measurements in 23 cubes o f cancellous bone from human calcaneae. The first approach used clinically applicable measurements of bulk velocity and bone mineral density (BMD), wh ilst the second involved bar velocity and apparent density, which are stric tly in vitro measurements. Bulk velocities were measured with an immersion technique with 1 MHz transducers using three different transit time markers (first arrival, thresholding, zero-crossing). Bar velocities were measured in the defatted specimens using a contact technique with 37 kHz transducer s in air. Volumetric BMD was derived from dual-energy X-ray absorptiometry measurements, and apparent density was measured directly. Compressive mecha nical testing was used to determine E. Bulk velocity, bar velocity and E al l displayed significant anisotropy, being greatest in the proximo-distal (P D) axis and least in the medio-lateral (ML) axis. Bulk velocity was depende nt on the transit time marker used, with velocity differences of up to 20% observed between different markers. Bar velocities were significantly lower than bulk velocities in all directions. Both bulk and bar velocities corre lated with E (r(2) = 0.26-0.83, r(2) = 0.36-0.81, respectively) with strong er relationships obtained when the data for the three axes were pooled. The predictive ability of bulk velocities determined using different markers w as similar. In general, combining velocity and density measurements yielded improved correlations with E. Thus, strong correlations were observed betw een E and the product of BMD and bulk velocity(2) (r(2) = 0.58-0.89), and t he product of apparent density and bar velocity(2) (r(2) = 0.58-0.89). Thes e results demonstrate that clinically applicable measurements of bulk veloc ity and BMD are good predictors of the elastic modulus of calcaneal bone, a nd that bulk and bar velocity, both alone and when combined with density me asurements, have a similar predictive ability for mechanical properties.