Predicting Arterial Flow and Pressure Dynamics Using a 1D Fluid Dynamics Model with a Viscoelastic Wall
Predicting Arterial Flow and Pressure Dynamics Using a 1D Fluid Dynamics Model with a Viscoelastic Wall
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使用具有粘弹性壁的一维流体动力学模型预测动脉流量和压力动态
DOI：
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发表时间：
2011
影响因子：
1.9
通讯作者：
M. Olufsen
中科院分区：
文献类型：
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作者：
B. Steele;D. Valdez;M. Haider;M. Olufsen
本文将广义粘弹性模型与一维(1D)流体动力学模型相结合，用于预测体循环动脉的血流量、压力和血管面积。一维流体动力学模型是从不可压缩牛顿流动的Navier-Stokes方程出发，通过圆柱容器网络得到的。该模型预测压力和流量，并与利用拟线性粘弹性理论推导的粘弹性本构方程相结合，该理论将压力和容器面积联系起来。该公式允许包含弹性响应以及适当的蠕变函数，从而允许描述动脉壁的粘弹性变形。研究了三种本构模型：一种线弹性模型和两种粘弹性模型。开尔文粘弹性模型和S型粘弹性模型分别提供线性和非线性弹性响应。对于流体域，该模型假定在入口处规定了给定的流型，该流动是在流体区内进行的。
This paper combines a generalized viscoelastic model with a one-dimensional (1D) fluid dynamics model for the prediction of blood flow, pressure, and vessel area in systemic arteries. The 1D fluid dynamics model is derived from the Navier–Stokes equations for an incompressible Newtonian flow through a network of cylindrical vessels. This model predicts pressure and flow and is combined with a viscoelastic constitutive equation derived using the quasilinear viscoelasticity theory that relates pressure and vessel area. This formulation allows for inclusion of an elastic response as well as an appropriate creep function allowing for the description of the viscoelastic deformation of the arterial wall. Three constitutive models were investigated: a linear elastic model and two viscoelastic models. The Kelvin and sigmoidal viscoelastic models provide linear and nonlinear elastic responses, respectively. For the fluid domain, the model assumes that a given flow profile is prescribed at the inlet, that flow is c...