Mathematical Biosciences and Engineering, 2014, 11(5): 1199-1214. doi: 10.3934/mbe.2014.11.1199.

Primary: 92C10; Secondary: 74A10.

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Effect of residual stress on peak cap stress in arteries

1. St. Olaf College, 1520 St. Olaf Ave, Northfield, MN 55057

Vulnerable plaques are a subset of atherosclerotic plaques that are prone to rupture when high stresses occur in the cap. The roles of residual stress, plaque morphology, and cap stiffness on the cap stress are not completely understood. Here, arteries are modeled within the framework of nonlinear elasticity as incompressible cylindrical structures that are residually stressed through differential growth. These structures are assumed to have a nonlinear, anisotropic, hyperelastic response to stresses in the media and adventitia layers and an isotropic response in the intima and necrotic layers. The effect of differential growth on the peak stress is explored in a simple, concentric geometry and it is shown that axial differential growth decreases the peak stress in the inner layer. Furthermore, morphological risk factors are explored. The peak stress in residually stressed cylinders is not greatly affected by changing the thickness of the intima. The thickness of the necrotic layer is shown to be the most important morphological feature that affects the peak stress in a residually stressed vessel.
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Keywords Atherosclerosis; nonlinear elasticity; morphoelasticity; anisotropic.; residual stress

Citation: Rebecca Vandiver. Effect of residual stress on peak cap stress in arteries. Mathematical Biosciences and Engineering, 2014, 11(5): 1199-1214. doi: 10.3934/mbe.2014.11.1199

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Copyright Info: 2014, Rebecca Vandiver, licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution Licese (http://creativecommons.org/licenses/by/4.0)

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