Parameterization of the size and shape of intracranial saccular aneurysms using Legendre polynomials

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Title: Parameterization of the size and shape of intracranial saccular aneurysms using Legendre polynomials
Author: Farley, Cory Wayne
Abstract: Currently , size is used as the predetermining factor to judge whether a saccular aneurysm is likely to rupture . Recent studies of the nonlinear mechanics of saccular aneurysms suggest that it is unlikely that they enlarge or rupture via material (limit point ) or dynamic (resonance ) instabilities . Rather , there is a growing body of evidence from both vascular biology and finite element analyses that implicate mechanosensitive growth and remodeling processes . There is , therefore , an even greater need to quantify regional multiaxial wall stresses , which because of the membrane -like behavior of aneurysms implicates the need for better data on regional surface curvatures . By using a convenient function , such as a Legendre polynomial , a quick , accurate approximation can be made for the size and shape of a saccular aneurysm that allows for stress analysis that surgeons can use to determine if the risk of rupture warrants the risk of treatment .
URI: http : / /hdl .handle .net /1969 .1 /1432
Date: 2005-02-17

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Parameterization of the size and shape of intracranial saccular aneurysms using Legendre polynomials. Available electronically from http : / /hdl .handle .net /1969 .1 /1432 .

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