A viscoelastic fluid–structure interaction model for carotid arteries under pulsatile flow

Abstract

In this study, a fluid-structure interaction model (FSI) incorporating viscoelastic wall behaviour is developed and applied to an idealized model of the carotid artery under pulsatile flow. The shear and bulk moduli of the arterial wall are described by Prony series, where the parameters can be derived from in vivo measurements. The aim is to develop a fully coupled FSI model that can be applied to realistic arterial geometries with normal or pathological viscoelastic wall behaviour. Comparisons between the numerical and analytical solutions for wall displacements demonstrate that the coupled model is capable of predicting the viscoelastic behaviour of carotid arteries. Comparisons are also made between the solid only and FSI viscoelastic models, and the results suggest that the difference in radial displacement between the two models is negligible.

Estimation of the physiological mechanical conditioning in vascular tissue engineering by a predictive fluid-structure interaction approach

“…On the contrary, the rigid model significantly underestimated (p < 0.05) ε circ,max and ε circ,min in DSA scaffold and the materials. These evidences confirmed the importance of viscoelastic properties of arteries which reduce wall displacement (Wang et al 2015). In the arterial wall, the uncoiling and the scrolling of elastin and collagen fibers of the arterial ECM are responsible for the reduction of ε circ (Sokolis et al 2006;Silver et al 2001).…”

“…The adopted FSI model correctly reproduced this behavior due to the constitutive equations of Maxwell model for viscoelastic materials. Consequently, in comparison to the rigid and the thick-wall theories, the FSI model correctly estimates the circumferential strains, and provides more reliable results as it includes both the compliance and the viscoelastic properties of the scaffold wall (Wang et al 2015;Anayiotos et al 1994).…”

Wall stress on ascending thoracic aortic aneurysms with bicuspid compared with tricuspid aortic valve

“…FEA has been widely used to quantify wall stress in arteries. 11,12 The aim of this study was to compare aTAA wall stress between patients with BAV and patients with TAV using FEA.…”

A Second-Order in Time Approximation of Fluid-Structure Interaction Problem

“…We model the common carotid artery as a straight cylinder of length 4 cm and radius 0.3 cm; see Figure 4. Similarly as in [25], at the fluid inlet section we prescribe a fully developed time-dependent axial velocity, while a pressure waveform is imposed at the outlet. In particular, we impose the following conditions:…”