| Determination of the critical buckling pressure of blood vessels using the energy approach. | |
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MedLine Citation:
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PMID: 21116846 Owner: NLM Status: MEDLINE |
Abstract/OtherAbstract:
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The stability of blood vessels under lumen blood pressure is essential to the maintenance of normal vascular function. Differential buckling equations have been established recently for linear and nonlinear elastic artery models. However, the strain energy in bent buckling and the corresponding energy method have not been investigated for blood vessels under lumen pressure. The purpose of this study was to establish the energy equation for blood vessel buckling under internal pressure. A buckling equation was established to determine the critical pressure based on the potential energy. The critical pressures of blood vessels with small tapering along their axis were estimated using the energy approach. It was demonstrated that the energy approach yields both the same differential equation and critical pressure for cylindrical blood vessel buckling as obtained previously using the adjacent equilibrium approach. Tapering reduced the critical pressure of blood vessels compared to the cylindrical ones. This energy approach provides a useful tool for studying blood vessel buckling and will be useful in dealing with various imperfections of the vessel wall. |
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Authors:
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Hai-Chao Han |
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Publication Detail:
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Type: Journal Article; Research Support, N.I.H., Extramural; Research Support, Non-U.S. Gov't; Research Support, U.S. Gov't, Non-P.H.S. Date: 2010-11-30 |
Journal Detail:
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Title: Annals of biomedical engineering Volume: 39 ISSN: 1521-6047 ISO Abbreviation: Ann Biomed Eng Publication Date: 2011 Mar |
Date Detail:
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Created Date: 2011-02-10 Completed Date: 2011-06-02 Revised Date: 2012-03-07 |
Medline Journal Info:
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Nlm Unique ID: 0361512 Medline TA: Ann Biomed Eng Country: United States |
Other Details:
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Languages: eng Pagination: 1032-40 Citation Subset: IM |
Affiliation:
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Department of Mechanical Engineering, Biomedical Engineering Program, UT Health Sciences Center, University of Texas at San Antonio, TX 78249, USA. hchan@utsa.edu |
Export Citation:
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| MeSH Terms | |
Descriptor/Qualifier:
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Animals Arteries / physiology* Blood Pressure / physiology* Computer Simulation Elastic Modulus / physiology Energy Transfer / physiology* Humans Models, Cardiovascular* Pressure Tensile Strength / physiology |
| Grant Support | |
ID/Acronym/Agency:
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R01 HL095852-02/HL/NHLBI NIH HHS; R01 HL095852-03/HL/NHLBI NIH HHS; R01HL095852/HL/NHLBI NIH HHS |
From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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