title: Stability analysis of a model of atherosclerotic plaque growth.
abstract: Atherosclerosis, the formation of life-threatening plaques in blood vessels, is a form of cardiovascular disease. In this paper, we analyze a simplified model of plaque growth to derive physically meaningful results about the growth of plaques. In particular, the main results of this paper are two conditions, which express that the immune response increases as LDL cholesterol levels increase and that diffusion prevails over inflammation in a healthy artery.
authors.affiliation: Thomas Jefferson High School for Science and Technology, Alexandria, VA 22312, USA.
authors.forename: Sushruth
authors.initials: S
authors.lastname: Reddy
authors.affiliation: Department of Mathematical Sciences, George Mason University, Fairfax, VA 22030, USA.
authors.forename: Padmanabhan
authors.initials: P
authors.lastname: Seshaiyer
mesh_terms: D000465:Algorithms; D001158:Arteries / Q000473:pathology; D050197:Atherosclerosis / Q000503:physiopathology*; D008078:Cholesterol, LDL / Q000097:blood / Q000276:immunology; D003198:Computer Simulation; D006801:Humans; D007249:Inflammation / Q000473:pathology; D008264:Macrophages / Q000378:metabolism; D008490:Medical Informatics / Q000379:methods; D008962:Models, Theoretical; D010587:Phagocytosis; D058226:Plaque, Atherosclerotic / Q000175:diagnosis / Q000503:physiopathology*
chemical_list: D008078:Cholesterol, LDL