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Computational and Mathematical Methods in Medicine
Volume 2015, Article ID 164035, 7 pages
Research Article

Stability Analysis of a Model of Atherosclerotic Plaque Growth

1Thomas Jefferson High School for Science and Technology, Alexandria, VA 22312, USA
2Department of Mathematical Sciences, George Mason University, Fairfax, VA 22030, USA

Received 20 December 2014; Revised 4 March 2015; Accepted 4 March 2015

Academic Editor: Thomas Desaive

Copyright © 2015 Sushruth Reddy and Padmanabhan Seshaiyer. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.