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Link to original content: https://pubmed.ncbi.nlm.nih.gov/8837052
The use of Laplace's equation in aneurysm mechanics - PubMed Skip to main page content
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. 1996 Jun;18(3):204-8.
doi: 10.1080/01616412.1996.11740404.

The use of Laplace's equation in aneurysm mechanics

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The use of Laplace's equation in aneurysm mechanics

J D Humphrey et al. Neurol Res. 1996 Jun.

Abstract

It is widely thought that the genesis, expansion, and rupture of intracranial aneurysms are each governed, in part, by mechanical mechanisms, and consequently that continuum mechanics has an important role to play in increasing our understanding of the natural history of these lesions. Mechanical analyses must, of course, be mathematically and conceptually consistent with fundamental principles, definitions, and findings. In this note, we identify and correct fundamental errors that appear in three recent papers on the mechanics of human intracranial aneurysms. In addition, we also show that, based on a simple analysis, it is unlikely that saccular aneurysms expand or rupture due to a limit point instability, and discuss directions for future mechanical analyses of aneurysms.

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