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Mathematical Modeling of Atherosclerotic Plaque Formation Coupled with a Non-Newtonian Model of Blood Flow

机译:动脉粥样硬化斑块形成的数学模型与非牛顿血流模型的耦合

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We deal with a mathematical model of atherosclerosis plaqueformation, which describes the early formation of atherosclerotic lesions. Themodel assumes that the inflammatory process starts with the penetration of low-density lipoproteins cholesterol in the intima, and that penetration will occurin the area of lower shear stress. Using a system of reaction-diffusion equations,we first provide a one-dimensional model of lesion growth. Then we performnumerical simulations on an idealized two-dimensional geometry of the carotidartery bifurcation before and after the formation of the atherosclerotic plaque. For that purpose, we consider the blood as an incompressible non-Newtonianfluid with shear-thinning viscosity. We also present a study of the wall shearstress and blood velocity behavior in a geometry with one plaque and also withtwo plaques in different positions.
机译:我们处理动脉粥样硬化斑块形成的数学模型,该模型描述了动脉粥样硬化病变的早期形成。该模型假设炎症过程始于内膜中低密度脂蛋白胆固醇的渗透,并且渗透将发生在较低切应力的区域。使用反应扩散方程组,我们首先提供病变生长的一维模型。然后,我们在形成动脉粥样硬化斑块之前和之后对颈动脉分叉的理想二维几何形状进行数值模拟。为此,我们认为血液是不可剪切的非牛顿流体,具有剪切稀化粘度。我们还提出了在具有一个斑块以及在不同位置也有两个斑块的几何形状中壁剪应力和血流速度行为的研究。

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