论文标题
在一个自由边界问题的第一个分叉点上建模小动脉斑块
On the first bifurcation point for a free boundary problem modeling small arterial plaque
论文作者
论文摘要
当斑块堵塞动脉时，动脉粥样硬化就会发生。这是美国和全球的主要死亡原因。在本文中，我们研究了动脉粥样硬化早期的高度非线性且高度耦合的斑块形成的PDE模型的分叉。该模型涉及LDL和HDL胆固醇，巨噬细胞和泡沫细胞，界面将斑块和血流区域分开为自由边界。我们建立了对应于$ n = 1 $模式的系统的第一个分叉点。本文研究的对称性固定解决方案可能有助于理解为什么存在动脉斑块，而动脉斑块通常比另一侧积累的更多。
Atherosclerosis occurs when plaque clogs the arteries. It is a leading cause of death in the United States and worldwide. In this paper, we study the bifurcation for a highly nonlinear and highly coupled PDE model of plaque formation in the early stage of atherosclerosis. The model involves LDL and HDL cholesterols, macrophage cells as well as foam cells, with the interface separating the plaque and blood flow region being a free boundary. We establish the first bifurcation point for the system corresponding to $n=1$ mode. The symmetry-breaking stationary solution studied in this paper might be helpful in understanding why there exists arterial plaque that is often accumulated more on one side of the artery than the other.
