Stress-strain index

The stress-strain index (SSI), of a bone, is a surrogate measure of bone strength determined from a cross-sectional scan by QCT or pQCT (radiological scan). The Stress-Strain Index is used to compare the strucural parameters determined by analysis of QCT/pQCT cross-sectional scans to the results of three point bending test.

Definition
It is calculated using the following formula:

$$SSI = \sum_{i=0}^n {{r_i^2 a ({{CD} \over {ND}})} \over {r_{max}}}$$

Where:
 * rmax is the distance of voxel from centre
 * CD is the apparent cortical (bone) density
 * ND is the normal (cortical bone) density
 * ri is the pixel position from the centre
 * a is the area of a pixel

History and relation to moments of inertia
It was developed by the manufacturer of a peripheral quantitative CT (pQCT) scanner, and is considered to be by some an improvement over the information provided by calculating the area moments of inertia and polar moments of inertia.