2016
DOI: 10.1016/j.actbio.2016.09.004
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The perivascular environment along the vertebral artery governs segment-specific structural and mechanical properties

Abstract: The vertebral arteries (VAs) are anatomically divided into four segments (V1–V4), which cumulatively transport blood flow through neck and ultimately form the posterior circulation of the brain. The vital physiological function of these conduit vessels depends on their geometry, composition and mechanical properties, all of which may vary among the defined arterial segments. Despite their significant role in blood circulation and susceptibility to injury, few studies have focused on characterizing the mechanic… Show more

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Cited by 15 publications
(5 citation statements)
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“…Storage and loss moduli were then used to predict shear wave speed. Given the predefined shear wave speeds at different frequencies, the material parameters for the five viscoelastic models were identified by using the Levenberg-Marquardt nonlinear, least-square algorithm for minimizing the objective function which reflects the agreement between predefined and predicted shear wave speeds at different excitation frequencies, which yields unique estimates of the material parameters (Suh and Bai, 1998; Zhou et al, 2016). Residual error is the output of the objective function, normalΩ=n=1Nfalse(cnTcnEfalse)2, where the superscript E and T refer to the experimentally measured and theoretically calculated values of shear wave speed, and subscript n indicates a particular experimental state.…”
Section: Methodsmentioning
confidence: 99%
“…Storage and loss moduli were then used to predict shear wave speed. Given the predefined shear wave speeds at different frequencies, the material parameters for the five viscoelastic models were identified by using the Levenberg-Marquardt nonlinear, least-square algorithm for minimizing the objective function which reflects the agreement between predefined and predicted shear wave speeds at different excitation frequencies, which yields unique estimates of the material parameters (Suh and Bai, 1998; Zhou et al, 2016). Residual error is the output of the objective function, normalΩ=n=1Nfalse(cnTcnEfalse)2, where the superscript E and T refer to the experimentally measured and theoretically calculated values of shear wave speed, and subscript n indicates a particular experimental state.…”
Section: Methodsmentioning
confidence: 99%
“…A viscoelastic anisotropic (VA) model was developed based on the HGO model [14, 15] by incorporating a viscoelasticity formulation [16]. The second Piola-Kirchhoff stress tensor of VA model S m+1 at time t m+1 is given by [17, 18]: Sm+1=(Svol+Sg++Sf+α=1nQα)m+1 where “∞” expresses the equilibrium condition when the time approaches infinity.…”
Section: Methodsmentioning
confidence: 99%
“…The parameter values for the HGO and CZM models were taken from references [4,10,22]. The value of the interfacial stiffness K was assigned as the same one from reference [14].…”
Section: Parameter Selection In Modelingmentioning
confidence: 99%
“…In the current study, the peeling path is obtained from the experimental observations. The parameter values for the HGO and CZM models were taken from references [7,8,18] , as shown in Table 1. The value of the interfacial stiffness K was assigned as the same one from reference [12] .…”
Section: Numerical Implementationsmentioning
confidence: 99%