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. Author manuscript; available in PMC: 2014 Nov 6.
Published in final edited form as: Int J Numer Method Biomed Eng. 2011 Nov 28;28(0):801–808. doi: 10.1002/cnm.1481

Table I.

Definition of different hemodynamic quantities proposed to evaluate possible initiation site of aneurysms. All temporal integrations are calculated over the cardiac cycle T.

Quantity Definition Notes
OSI
12{1-0Tfidt0Tfidt}
f i is the instantaneous wall shear stress
AFI
fi·favfifav
f av is the time averaged wall shear stress
GON
12{1-0TGdt0TGdt}
G=(fpp,fqq) is the spatial wall shear stress gradient, where the p-direction corresponds to the time-averaged direction of the f vector over the flow cycle and the q-direction is perpendicular to p.