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A free boundary problem for steady small plaques in the artery and their stability.
- Source :
-
Journal of Differential Equations . Aug2015, Vol. 259 Issue 4, p1227-1255. 29p. - Publication Year :
- 2015
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 259
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 102658527
- Full Text :
- https://doi.org/10.1016/j.jde.2015.02.002