PMID: 8584121Oct 1, 1995Paper

Quantitation of intracranial aneurysm neck size from diagnostic angiograms based on a biomathematical model

Neurological Research
G J HademenosF Viñuela

Abstract

Accurate measurement of the aneurysm neck size from diagnostic angiograms is crucial in the consideration and implementation of interventional embolotherapeutic procedures. Due to inherent problems in angiography, aneurysm morphology and location, and obstruction by overlying structures, accurate measurement of the aneurysm neck size is difficult. We are proposing a method for the angiographic measurement of aneurysm neck size based on a biomathematical model of an aneurysm. A biomathematical model of an intracranial saccular aneurysm was developed based on Laplace's law for a spherical elastic object, given by: Stress = Pressure x Radius/2 x Wall thickness. In addition, another biomechanical parameter used to describe an elastic sphere is the strain: Strain = delta R/Ri = (R-Ri)/Ri where R is the current aneurysm radius and Ri is the initial radius prior to aneurysm development. The stress and strain of an elastic structure are used to describe the elastic modulus, E: E = stress/strain = [PR/2h]/[(R-Ri)/Ri] = [PRRi]/[2hR-2hri]. It is assumed at this point that no additional tissue growth occurs through the developmental course of the aneurysm. The expression for E is now solved for Ri which, in essence, represents the radius o...Continue Reading

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