TY - JOUR
T1 - A free boundary problem for steady small plaques in the artery and their stability
AU - Friedman, Avner
AU - Hao, Wenrui
AU - Hu, Bei
N1 - Publisher Copyright:
© 2015 Elsevier Inc.
PY - 2015/8/15
Y1 - 2015/8/15
N2 - Atherosclerosis is a leading cause of death in the United States and worldwide; it originates from a plaque which builds up in the artery. In this paper, we consider 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 prove that there exist small radially symmetric stationary plaques and establish a sharp condition that ensures their stability. We also determine necessary and sufficient conditions under which a small initial plaque will shrink and disappear, or persist for all times.
AB - Atherosclerosis is a leading cause of death in the United States and worldwide; it originates from a plaque which builds up in the artery. In this paper, we consider 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 prove that there exist small radially symmetric stationary plaques and establish a sharp condition that ensures their stability. We also determine necessary and sufficient conditions under which a small initial plaque will shrink and disappear, or persist for all times.
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U2 - 10.1016/j.jde.2015.02.002
DO - 10.1016/j.jde.2015.02.002
M3 - Article
AN - SCOPUS:84929279655
SN - 0022-0396
VL - 259
SP - 1227
EP - 1255
JO - Journal of Differential Equations
JF - Journal of Differential Equations
IS - 4
ER -