Stability of Membrane Elastodynamics with Applications to Cylindrical Aneurysms
The enlargement and rupture of intracranial and abdominal aortic aneurysms constitutes a major medical problem. It has been suggested that enlargement and rupture are due to mechanical instabilities of the associated complex fluid-solid interaction in the lesions. In this paper, we examine a coupled...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2011/906475 |
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| author | A. Samuelson P. Seshaiyer |
| author_facet | A. Samuelson P. Seshaiyer |
| author_sort | A. Samuelson |
| collection | DOAJ |
| description | The enlargement and rupture of intracranial and abdominal aortic aneurysms constitutes a major medical problem. It has been suggested that enlargement and rupture are due to mechanical instabilities of the associated complex fluid-solid interaction in the lesions. In this paper, we examine a coupled fluid-structure mathematical model for a cylindrical geometry representing an idealized aneurysm using both analytical and numerical techniques. A stability analysis for this subclass of aneurysms is presented. It is shown that this subclass of aneurysms is dynamically stable both with and without a viscoelastic contribution to the arterial wall. |
| format | Article |
| id | doaj-art-c6ec71e815074097979bf7e8b7125cc8 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-c6ec71e815074097979bf7e8b7125cc82025-02-03T01:12:32ZengWileyJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/906475906475Stability of Membrane Elastodynamics with Applications to Cylindrical AneurysmsA. Samuelson0P. Seshaiyer1Department of Mathematical Sciences, George Mason University, Fairfax, VA 22030, USADepartment of Mathematical Sciences, George Mason University, Fairfax, VA 22030, USAThe enlargement and rupture of intracranial and abdominal aortic aneurysms constitutes a major medical problem. It has been suggested that enlargement and rupture are due to mechanical instabilities of the associated complex fluid-solid interaction in the lesions. In this paper, we examine a coupled fluid-structure mathematical model for a cylindrical geometry representing an idealized aneurysm using both analytical and numerical techniques. A stability analysis for this subclass of aneurysms is presented. It is shown that this subclass of aneurysms is dynamically stable both with and without a viscoelastic contribution to the arterial wall.http://dx.doi.org/10.1155/2011/906475 |
| spellingShingle | A. Samuelson P. Seshaiyer Stability of Membrane Elastodynamics with Applications to Cylindrical Aneurysms Journal of Applied Mathematics |
| title | Stability of Membrane Elastodynamics with Applications to Cylindrical Aneurysms |
| title_full | Stability of Membrane Elastodynamics with Applications to Cylindrical Aneurysms |
| title_fullStr | Stability of Membrane Elastodynamics with Applications to Cylindrical Aneurysms |
| title_full_unstemmed | Stability of Membrane Elastodynamics with Applications to Cylindrical Aneurysms |
| title_short | Stability of Membrane Elastodynamics with Applications to Cylindrical Aneurysms |
| title_sort | stability of membrane elastodynamics with applications to cylindrical aneurysms |
| url | http://dx.doi.org/10.1155/2011/906475 |
| work_keys_str_mv | AT asamuelson stabilityofmembraneelastodynamicswithapplicationstocylindricalaneurysms AT pseshaiyer stabilityofmembraneelastodynamicswithapplicationstocylindricalaneurysms |