Biomechanics of the Porcine Basilar Artery in Hypertension

Hu, Jin-Jia; Fossum, Theresa W.; Miller, Matthew W.; Xu, Hai; Liu, J. C.; Humphrey, Jay D.

doi:10.1007/s10439-006-9186-5

Cited by 55 publications

(58 citation statements)

References 28 publications

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“…For a stable solution, we observe an increase both in collagen volume fraction and in wall thickness of the artery (the lines corresponding to K g T c /ρ c = 10, see Fig. 7b), which is in agreement with experimentally observed increase in collagen content and wall thickness reported by Hu et al (2007). For too small values of K g T /ρ c , the homeostatic state becomes unstable.…”

Section: Resultssupporting

confidence: 89%

A model for arterial adaptation combining microstructural collagen remodeling and 3D tissue growth

Machyshyn

Bovendeerd

Ven

et al. 2010

Biomech Model Mechanobiol

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Long-term adaptation of soft tissues is realized through growth and remodeling (G&R). Mathematical models are powerful tools in testing hypotheses on G&R and supporting the design and interpretation of experiments. Most theoretical G&R studies concentrate on description of either growth or remodeling. Our model combines concepts of remodeling of collagen recruitment stretch and orientation suggested by other authors with a novel model of general 3D growth. We translate a growth-induced volume change into a change in shape due to the interaction of the growing tissue with its environment. Our G&R model is implemented in a finite element package in 3D, but applied to two rotationally symmetric cases, i.e., the adaptation towards the homeostatic state of the human aorta and the development of a fusiform aneurysm. Starting from a guessed non-homeostatic state, the model is able to reproduce a homeostatic state of an artery with realistic parameters. We investigate the sensitivity of this state to settings of initial parameters. In addition, we simulate G&R of a fusiform aneurysm, initiated by a localized degradation of the matrix of the healthy artery. The aneurysm stabilizes in size soon after the degradation stops.

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Section: Resultssupporting

confidence: 89%

A model for arterial adaptation combining microstructural collagen remodeling and 3D tissue growth

Machyshyn

Bovendeerd

Ven

et al. 2010

Biomech Model Mechanobiol

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“…41 The Neo-Hookean model C iso D C(I 1 -3)/2 for the isotropic contribution has been suggested with the stress-like material parameter C > 0 (the shear modulus). 42 The strain energy function can be expressed as following by considering the 4-fiber family of collagen: 20,24,43 …”

Section: Constitutive Modelmentioning

confidence: 99%

Mechanical characterization of the rat and mice skin tissues using histostructural and uniaxial data

2015

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The skin tissue has been shown to behave like a nonlinear anisotropic material. This study was aimed to employ a constitutive fiber family equation to characterize the nonlinear anisotropic mechanical behavior of the rat and mice skin tissues in different anatomical locations, including the abdomen and back, using histostructural and uniaxial data. The rat and mice skin tissues were excised from the animals' body and then the histological analyses were performed on each skin type to determine the mean fiber orientation angle. Afterward, the preconditioned skin tissues were subjected to a series of quasi-static axial and circumferential loads until the incidence of failure. The crucial role of fiber orientation was explicitly added into a proposed strain energy density function. The material coefficients were determined using the constrained nonlinear optimization method based on the axial and circumferential extension data of the rat and mice samples at different anatomical locations. The material coefficients of the skins were given with R 2 0.998. The results revealed a significant load-bearing capacity and stiffness of the rat abdomen compared to the rat back tissues. In addition, the mice abdomen showed a higher stiffness in the axial direction in comparison with circumferential one, while the mice back displayed its highest stiffness in the circumferential direction. The material coefficients of the rat and mice skin tissues were determined and well compared to the experimental data. The optimized fiber angles were also compared to the experimental histological data, and in all cases less than 11.85% differences were observed in both the skin tissues.

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“…2). They affect the growth and remodeling of blood vessels so that they can withstand the pressure and flow, and at the same time maintain a homeostatic state [4,5,6,7]. According to Humphrey [8], the term growth refers to an increase in mass, achieved by an increase in the number or size of cells, or by an increase in extracellular matrix.…”

Section: Growth and Remodeling In Blood Vesselsmentioning

confidence: 99%

“…Many experimental studies have been carried out on how the blood pressure and volumetric flow rate affect the growth and remodeling of the blood vessels [4,5,6,7]. It has been shown that the thickness of the vessel wall increases as the pressure increases, enabling the vessels to adapt and to maintain a homeostatic state [5,7].…”

Section: Growth and Remodeling In Blood Vesselsmentioning

confidence: 99%

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Goal Function Approach to Growth and Remodeling of Arteries

Satha¹

2014

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In this thesis we develop a new goal function approach to investigate stability of the growth processes in blood vessels and cost-optimal composition and geometry of these vessels. In the vascular system of a healthy individual, the living composition of the arterial wall must regenerate and remodel continuously during the entire lifetime to maintain itself. In some cases the system destabilizes due to disease, injury or other complex processes. To understand how and when this happens, several mathematical models have been developed. These models have included an evolution equation for mass fractions of the vessel wall, describing how the vessel develops from an actual state to a target state. These works are based on constrained mixture theory (CMT), which takes care of production and removal of arterial constituents. The cost-optimal design of blood vessels has been studied previously by Murray. The aim of this thesis is to contribute to stability analyses of the growth process by formulating a new goal function approach, making it possible to examine under which conditions instability arises. We also aim to analyze changes in the optimum material composition and geometry of the vessel wall, using a more realistic, nonlinear material model. The blood vessel is modeled as a thin-walled tube and the constituents that form the vessel wall are assumed to deform together (CMT). The growth dynamics of the composite material of the vessel wall is described by an evolution equation, where the effective area of each constituent changes in the direction of steepest descent of a goal function. This goal function is formulated in such way that the constituents grow toward a target potential energy and a target composition. The response of the evolution equation is simulated for several dierent material models. These simulations suggest that elastin-decient vessels are more prone to growth instability, but that increased vessel stiness gives a more stable growth process. Another important nding is that an increased rate of degradation of materials impairs growth stability. By extending Murray's law to include effects of nonlinear mechanics of the artery wall and a growth and remodeling mechanism based on CMT, and at the same time having the system satisfy an equilibrium equation, we study cost-optimal compositions and geometries of the vessel wall. This gives new insight into the wall's architecture under optimal conditions

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Biomechanics of the Porcine Basilar Artery in Hypertension

Cited by 55 publications

References 28 publications

A model for arterial adaptation combining microstructural collagen remodeling and 3D tissue growth

A model for arterial adaptation combining microstructural collagen remodeling and 3D tissue growth

Mechanical characterization of the rat and mice skin tissues using histostructural and uniaxial data

Goal Function Approach to Growth and Remodeling of Arteries

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