| A mathematical model for the growth of the abdominal aortic aneurysm. | |
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MedLine Citation:
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PMID: 15452732 Owner: NLM Status: MEDLINE |
Abstract/OtherAbstract:
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We present the first mathematical model to account for the evolution of the abdominal aortic aneurysm. The artery is modelled as a two-layered, cylindrical membrane using nonlinear elasticity and a physiologically realistic constitutive model. It is subject to a constant systolic pressure and a physiological axial prestretch. The development of the aneurysm is assumed to be a consequence of the remodelling of its material constituents. Microstructural 'recruitment' and fibre density variables for the collagen are introduced into the strain energy density functions. This enables the remodelling of collagen to be addressed as the aneurysm enlarges. An axisymmetric aneurysm, with axisymmetric degradation of elastin and linear differential equations for the remodelling of the fibre variables, is simulated numerically. Using physiologically determined parameters to model the abdominal aorta and realistic remodelling rates for its constituents, the predicted dilations of the aneurysm are consistent with those observed in vivo. An asymmetric aneurysm with spinal contact is also modelled, and the stress distributions are consistent with previous studies. |
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Authors:
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P N Watton; N A Hill; M Heil |
Publication Detail:
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Type: Journal Article; Research Support, Non-U.S. Gov't Date: 2004-09-25 |
Journal Detail:
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Title: Biomechanics and modeling in mechanobiology Volume: 3 ISSN: 1617-7959 ISO Abbreviation: Biomech Model Mechanobiol Publication Date: 2004 Nov |
Date Detail:
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Created Date: 2004-11-04 Completed Date: 2005-03-22 Revised Date: 2006-11-15 |
Medline Journal Info:
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Nlm Unique ID: 101135325 Medline TA: Biomech Model Mechanobiol Country: Germany |
Other Details:
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Languages: eng Pagination: 98-113 Citation Subset: IM; S |
Affiliation:
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Department of Cardiac Surgery, University of Glasgow, Royal Infirmary, 10 Alexandra Parade, G31 2ER, Glasgow, UK. P.Watton@clinmed.gla.ac.uk |
Export Citation:
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APA/MLA Format Download EndNote Download BibTex |
| MeSH Terms | |
Descriptor/Qualifier:
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Aortic Aneurysm, Abdominal
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pathology* Humans Models, Theoretical* |
From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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