1998
DOI: 10.1115/1.2834313
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A Model for Geometric and Mechanical Adaptation of Arteries to Sustained Hypertension

Abstract: This study aimed to model phenomenologically the dynamics of arterial wall remodeling under hypertensive conditions. Sustained hypertension was simulated by a step increase in blood pressure. The arterial wall was considered to be a thick-walled tube made of nonlinear elastic incompressible material. Remodeling rate equations were postulated for the evolution of the geometric dimensions of the hypertensive artery at the zero-stress state, as well as for one of the material constants in the constitutive equatio… Show more

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Cited by 107 publications
(89 citation statements)
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“…As a result, it has been difficult to mathematically model time courses of changes in cellular and matrix activity, which is essential for understanding how the arterial wall responds to hypertension (Rachev et al 1998;Gleason and Humphrey 2004). One goal of this work, therefore, was to quantify together the time courses of cellular and matrix changes in the aorta of a single model of hypertension over an extended (8 week) period.…”
Section: Discussionmentioning
confidence: 99%
“…As a result, it has been difficult to mathematically model time courses of changes in cellular and matrix activity, which is essential for understanding how the arterial wall responds to hypertension (Rachev et al 1998;Gleason and Humphrey 2004). One goal of this work, therefore, was to quantify together the time courses of cellular and matrix changes in the aorta of a single model of hypertension over an extended (8 week) period.…”
Section: Discussionmentioning
confidence: 99%
“…In the model of Taber and Eggers (1996), circumferential and radial growth depends on local wall stress. The models of Taber (1998), Rachev et al (1998), andHumphrey (2001) grow in response to both wall stress and the fluid shear stress on the endothelium. Rachev and Hayashi (1999) added a contractile term for more acute shear stress management.…”
Section: Discussionmentioning
confidence: 99%
“…It is well thought that arterial growth and remodeling in response to changes in blood flow, blood pressure, and axial stretch leads to geometric and material adaptations that restore the wall shear stress (33), circumferential (hoop) stress (4), cyclic circumferential strain (45), and axial stress (32) to target values.…”
Section: H678 Elastic Fibers and Mechanics Of Carotid Arteries In Matmentioning
confidence: 99%