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When plaques block the arteries, atherosclerosis occurs. Severe atherosclerosis would result in fatal cardiovascular diseases such as stroke, heart attack, coronary artery disease, or peripheral artery disease; these are leading causes of death in the world. In the paper, we investigate a free boundary PDE model to describe the formation of an arterial plaque in the early stage of atherosclerosis.The bifurcation analysis is carried out for the model. In particular, we establish the first bifurcation point for the system corresponding to the n = 1 mode. The symmetry-breaking stationary solution studied in this paper can be helpful in understanding why there exists arterial plaque that is often accumulated more on one side of the artery than the other. KEYWORDS atherosclerosis, bifurcations in context of PDEs, free boundary problems for PDEs MSC CLASSIFICATION 35R35; 35B32

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