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 structural 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 = ∑ i = 0 n r i 2 a ( C D N D ) r max {\displaystyle {\text{SSI}}=\sum _{i=0}^{n}{{r_{i}^{2}a({\frac {CD}{ND}})} \over {r_{\text{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.
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