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Stability analysis of a model of atherosclerotic plaque growth.

Reddy S, Seshaiyer P - Comput Math Methods Med (2015)

Bottom Line: 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.

View Article: PubMed Central - PubMed

Affiliation: Thomas Jefferson High School for Science and Technology, Alexandria, VA 22312, USA.

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.

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Related in: MedlinePlus

Computational domain.
© Copyright Policy - open-access
Related In: Results  -  Collection


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fig1: Computational domain.

Mentions: Here, we study the evolution of species concentrations in the intima, as pictured in Figure 1. We assume that the intima is of fixed volume. This is a reasonable assumption as we are studying perturbations from equilibrium, more likely when total plaque growth is limited to relatively small fibrous atheromas, which do not extend extremely far into the intima. As in [9], we take the intima to be approximately shaped like a thin annulus, with some intimal thickening. We assume the outer boundary of the intima (separating it from the media) is impermeable to all chemical species.


Stability analysis of a model of atherosclerotic plaque growth.

Reddy S, Seshaiyer P - Comput Math Methods Med (2015)

Computational domain.
© Copyright Policy - open-access
Related In: Results  -  Collection

Show All Figures
getmorefigures.php?uid=PMC4389920&req=5

fig1: Computational domain.
Mentions: Here, we study the evolution of species concentrations in the intima, as pictured in Figure 1. We assume that the intima is of fixed volume. This is a reasonable assumption as we are studying perturbations from equilibrium, more likely when total plaque growth is limited to relatively small fibrous atheromas, which do not extend extremely far into the intima. As in [9], we take the intima to be approximately shaped like a thin annulus, with some intimal thickening. We assume the outer boundary of the intima (separating it from the media) is impermeable to all chemical species.

Bottom Line: 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.

View Article: PubMed Central - PubMed

Affiliation: Thomas Jefferson High School for Science and Technology, Alexandria, VA 22312, USA.

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.

Show MeSH
Related in: MedlinePlus