Journal
ANNALS OF BIOMEDICAL ENGINEERING
Volume 39, Issue 3, Pages 1032-1040Publisher
SPRINGER
DOI: 10.1007/s10439-010-0212-2
Keywords
Artery; Vein; Blood vessel; Bent buckling; Stability; Instability; Tortuosity; Energy equation; Strain energy; Buckling equation; Critical pressure; Tapering; Nonlinear elastic
Categories
Funding
- National Science Foundation [0644646]
- National Institute of Health [R01HL095852]
- NSF of China [10928206]
Ask authors/readers for more resources
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.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available