Computational Simulations of the Buckling of Oval and Tapered Arteries

Northcutt, Avione; Datir, Parag; Han, Hai‐Chao

doi:10.1142/9789814289955_0006

Cited by 7 publications

(10 citation statements)

References 2 publications

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“…We previously showed that for blood vessels with elliptic cross sections without matrix support, the buckling tends to occur in the direction of the minor axis since the cross-sectional bending moment of inertia is smaller in this direction (Northcutt et al, 2009). With surrounding tissue support, the resistance from the surrounding tissue is smaller in the direction of the major axis.…”

Section: Discussionmentioning

confidence: 99%

Blood vessel buckling within soft surrounding tissue generates tortuosity

Han

2009

Journal of Biomechanics

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115

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Section: Discussionmentioning

confidence: 99%

Blood vessel buckling within soft surrounding tissue generates tortuosity

Han

2009

Journal of Biomechanics

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115

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“…It has been shown that atherosclerotic arteries with an eccentric cross section are more prone to lumen collapse than circular arteries (Aoki and Ku 1993), and our recent pilot study using an isotropic Mooney-Rivlin material model suggested that tapered arteries have lower critical pressures while those with oval cross sections have higher critical pressures compared to straight circular arteries (Northcutt et al 2009). However, it is well known that the arterial wall is nonlinear and anisotropic.…”

Section: Introductionmentioning

confidence: 94%

Effects of Geometric Variations on the Buckling of Arteries

Datir

Lee

Lamm

et al. 2011

Int. J. Appl. Mechanics

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Arteries often demonstrate geometric variations such as elliptic and eccentric cross sections, stenosis, and tapering along the longitudinal axis. Effects of these variations on the mechanical stability of the arterial wall have not been investigated. The objective of this study was to determine the buckling behavior of arteries with elliptic, eccentric, stenotic, and tapered cross sections. The arterial wall was modeled as a homogenous anisotropic nonlinear material. Finite element analysis was used to simulate the buckling process of these arteries under lumen pressure and axial stretch. Our results demonstrated that arteries with an oval cross section buckled in the short axis direction at lower critical pressures compared to circular arteries. Eccentric cross-sections, stenosis, and tapering also decreased the critical pressure. Stenosis led to dramatic pressure variations along the vessel and reduced the buckling pressure. In addition, tapering shifted the buckling deformation profile of the artery towards the distal end. We conclude that geometric variations reduce the critical pressure of arteries and thus make the arteries more prone to mechanical instability than circular cylindrical arteries. These results improve our understanding of the mechanical behavior of arteries.

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“…Artery buckling could be a possible mechanism for the tortuous arteries observed often in aged populations and in patients with cardiovascular diseases [4][5][6]. The loss of stability could alter blood flow and arterial wall stress [7][8][9]. It is believed that the alteration in flow around the curved regions can trigger the development of atherosclerosis [10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Stability of Carotid Artery Under Steady-State and Pulsatile Blood Flow: A Fluid–Structure Interaction Study

Khalafvand

Han

2015

Journal of Biomechanical Engineering

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It has been shown that arteries may buckle into tortuous shapes under lumen pressure, which in turn could alter blood flow. However, the mechanisms of artery instability under pulsatile flow have not been fully understood. The objective of this study was to simulate the buckling and post-buckling behaviors of the carotid artery under pulsatile flow using a fully coupled fluid-structure interaction (FSI) method. The artery wall was modeled as a nonlinear material with a two-fiber strain-energy function. FSI simulations were performed under steady-state flow and pulsatile flow conditions with a prescribed flow velocity profile at the inlet and different pressures at the outlet to determine the critical buckling pressure. Simulations were performed for normal (160 ml/min) and high (350 ml/min) flow rates and normal (1.5) and reduced (1.3) axial stretch ratios to determine the effects of flow rate and axial tension on stability. The results showed that an artery buckled when the lumen pressure exceeded a critical value. The critical mean buckling pressure at pulsatile flow was 17-23% smaller than at steady-state flow. For both steady-state and pulsatile flow, the high flow rate had very little effect (<5%) on the critical buckling pressure. The fluid and wall stresses were drastically altered at the location with maximum deflection. The maximum lumen shear stress occurred at the inner side of the bend and maximum tensile wall stresses occurred at the outer side. These findings improve our understanding of artery instability in vivo.

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Computational Simulations of the Buckling of Oval and Tapered Arteries

Cited by 7 publications

References 2 publications

Blood vessel buckling within soft surrounding tissue generates tortuosity

Blood vessel buckling within soft surrounding tissue generates tortuosity

Effects of Geometric Variations on the Buckling of Arteries

Stability of Carotid Artery Under Steady-State and Pulsatile Blood Flow: A Fluid–Structure Interaction Study

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