Stress–strain index

The stress–strain index (SSI), of a bone, is a surrogate measure of bone strength[1] 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:[2]

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

Where:

r_max is the distance of voxel from centre
CD is the apparent cortical (bone) density
ND is the normal (cortical bone) density
r_i 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,[2] 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.

gollark: Most of my stuff is MIT-licensed so you can use it.

gollark: Intellectual property, not internet protocol address.

gollark: Most non-predictable-in-some-way numbers above 64 bits PROBABLY won't practically end up randomly turning up anywhere, but it's interesting.

gollark: An interesting consequence of intellectual property weirdness and the fact that I own some IP is that a veeeery large set of numbers representing reversible transforms of my IP are illegal to use in some ways without my permission.

gollark: Also idea: let's figure out how to procedurally generate gender identities?

References

Ward K, Roberts S, Adams J, Mughal M (2005). "Bone geometry and density in the skeleton of pre-pubertal gymnasts and school children". Bone. 36 (6): 1012–8. doi:10.1016/j.bone.2005.03.001. PMID 15876561.
Hasegawa Y, Schneider P, Reiners C (2001). "Age, sex, and grip strength determine architectural bone parameters assessed by peripheral quantitative computed tomography (pQCT) at the human radius". J Biomech. 34 (4): 497–503. doi:10.1016/S0021-9290(00)00211-6. PMID 11266673.

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[1] Ward K, Roberts S, Adams J, Mughal M (2005). "Bone geometry and density in the skeleton of pre-pubertal gymnasts and school children". Bone. 36 (6): 1012–8. doi:10.1016/j.bone.2005.03.001. PMID 15876561.

[hasegawa-2] Hasegawa Y, Schneider P, Reiners C (2001). "Age, sex, and grip strength determine architectural bone parameters assessed by peripheral quantitative computed tomography (pQCT) at the human radius". J Biomech. 34 (4): 497–503. doi:10.1016/S0021-9290(00)00211-6. PMID 11266673.