数学所周五学术报告—A Free Boundary Problem for modeling Plaques in the Artery
主 题: 数学所周五学术报告—A Free Boundary Problem for modeling Plaques in the Artery
报告人: Professor Bei Hu (University of Notre Dame)
时 间: 2017-06-23 15:00-16:00
地 点: 理科1号楼1114
Abstract: Atherosclerosis is a leading cause of death worldwide; it originates from a plaque which builds up in the artery. We considered a simplified model of plaque growth involving LDL and HDL cholesterols, macrophages and foam cells, which satisfy a coupled system of PDEs with a free boundary, the interface between the plaque and the blood flow. We proved that there exist small radially symmetric stationary plaques and established a sharp condition that ensures their stability. We also determined necessary and sufficient conditions under which a small initial plaque will shrink and disappear, or persist for all times.