Mathematical modelling of atherosclerosis
Mathematical modelling of atherosclerosis
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DOI：
10.1051/mmnp/2019050
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发表时间：
2019-12-19
影响因子：
2.2
通讯作者：
Volpert, V.
中科院分区：
文献类型：
--
作者：
El Khatib, N.;Kafi, O.;Volpert, V.
本文综述了动脉粥样硬化建模的最新进展。它从描述动脉壁慢性炎症机制的生物学介绍开始，这是动脉粥样硬化发展的特征。特别是，我们提出了更详细的模型，将这种慢性炎症描述为一种反应扩散波，其传播机制取决于胆固醇（LDL）的水平，以及初始化炎症的滚动单核细胞模型。这种疾病的进一步发展导致动脉粥样硬化斑块的形成，血管重塑和可能的斑块破裂，由于其与血流的相互作用。我们回顾了斑块-血流相互作用模型以及动脉粥样硬化血管血流的简化模型（0D和1D）。
The review presents the state of the art in the atherosclerosis modelling. It begins with the biological introduction describing the mechanisms of chronic inflammation of artery walls characterizing the development of atherosclerosis. In particular, we present in more detail models describing this chronic inflammation as a reaction-diffusion wave with regimes of propagation depending on the level of cholesterol (LDL) and models of rolling monocytes initializing the inflammation. Further development of this disease results in the formation of atherosclerotic plaque, vessel remodelling and possible plaque rupture due its interaction with blood flow. We review plaque-flow interaction models as well as reduced models (0D and 1D) of blood flow in atherosclerotic vasculature.