Stress–strain behavior of the passive basilar artery in normotension and hypertension

Hu, Jin-Jia; Baek, Seungik; Humphrey, Jay D.

doi:10.1016/j.jbiomech.2006.11.007

Cited by 54 publications

(38 citation statements)

References 16 publications

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“…Positive numbers C k 1 (kPa) and C k 2 (dimensionless) are associated material parameters. If we assume that the material parameters for the diagonal fibers become equal (C 3 1 D C 4 1 and C 3 2 D C 4 2 ), 19,21,22,25 which is supported by a new line of evidence, 46 then it leads to the 4-fiber Table 2. The identified material parameters of rat and mice skins at different anatomical locations, i.e., back and abdomen …”

Section: Constitutive Modelmentioning

confidence: 87%

“…17,18 Many works either chose a purely phenomenological approach like the Fung-type model, or consider histostructural information, such as the Holzapfel-Gasser-Ogden constitutive model 19 or fiber family model [20][21][22] to capture the nonlinear hyperelastic mechanical behavior of the soft biological tissues, especially the arterial wall. Since the fiber family constitutive based material model has the potential ability to address the mechanical properties of the skin tissue better than that of phenomenological model, [23][24][25] it would be useful and practically valuable to determine the material coefficients of the rat and mice skins in different anatomical locations, including the abdomen and back, from uniaxial data with the previously proposed model by Holzapfel. Therefore, the objective of this study is to experimentally and numerically determine the anisotropic mechanical properties of the rat and mice skin tissues using histostructural and uniaxial test data.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Constitutive Modelmentioning

confidence: 87%

Section: Introductionmentioning

confidence: 99%

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

2015

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“…An engagement strain was also discussed by Speirs et al (2008), who used a finite element implementation to analyse the inflation and extension of a thick-walled tube by using the models (2.21) and (2.22) and compared the results with those from the engagement model of Zulliger et al (2004a). Baek et al (2007a), Hu et al (2007) and Zeinali-Davarani et al (2009) considered a model of the form of equation (2.29) but with four families of fibres instead of two. This model is motivated by microscopic data on the arterial collagen organization obtained from multi-photon microscopy (Wicker et al 2008).…”

Section: (A) Arterial Wall Modelling and Its Applicationsmentioning

confidence: 99%

Constitutive modelling of arteries

2010

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This review article is concerned with the mathematical modelling of the mechanical properties of the soft biological tissues that constitute the walls of arteries. Many important aspects of the mechanical behaviour of arterial tissue can be treated on the basis of elasticity theory, and the focus of the article is therefore on the constitutive modelling of the anisotropic and highly nonlinear elastic properties of the artery wall. The discussion focuses primarily on developments over the last decade based on the theory of deformation invariants, in particular invariants that in part capture structural aspects of the tissue, specifically the orientation of collagen fibres, the dispersion in the orientation, and the associated anisotropy of the material properties. The main features of the relevant theory are summarized briefly and particular forms of the elastic strain-energy function are discussed and then applied to an artery considered as a thickwalled circular cylindrical tube in order to illustrate its extension-inflation behaviour. The wide range of applications of the constitutive modelling framework to artery walls in both health and disease and to the other fibrous soft tissues is discussed in detail. Since the main modelling effort in the literature has been on the passive response of arteries, this is also the concern of the major part of this article. A section is nevertheless devoted to reviewing the limited literature within the continuum mechanics framework on the active response of artery walls, i.e. the mechanical behaviour associated with the activation of smooth muscle, a very important but also very challenging topic that requires substantial further development. A final section provides a brief summary of the current state of arterial wall mechanical modelling and points to key areas that need further modelling effort in order to improve understanding of the biomechanics and mechanobiology of arteries and other soft tissues, from the molecular, to the cellular, tissue and organ levels.

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“…Carotid atherosclerosis will lead to the formation of plaques in the carotid artery wall and insufficient brain supply, and atherosclerosis in serious can cause stroke, cerebral infarction, and even death. Clinical studies indicate that the hypertensive patients (hypertension stage I) are at higher risk of atherosclerosis formation than normotensive persons [44]. From the hemodynamics in the present study, we investigate the invasive sites and the mechanism of vulnerable sites of hypertensive patients.…”

Section: Blood Flow In Carotid Artery Bifurcationmentioning

confidence: 89%

Unsteady Non-Newtonian Solver on Unstructured Grid for the Simulation of Blood Flow

Chen

Zhou

2013

Advances in Mechanical Engineering

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Blood is in fact a suspension of different cells with yield stress, shear thinning, and viscoelastic properties, which can be represented by different non-Newtonian models. Taking Casson fluid as an example, an unsteady solver on unstructured grid for nonNewtonian fluid is developed to simulate transient blood flow in complex flow region. In this paper, a steady solver for Newtonian fluid is firstly developed with the discretization of convective flux, diffusion flux, and source term on unstructured grid. For the non-Newtonian characteristics of blood, the Casson fluid is approximated by the Papanastasiou's model and treated as Newtonian fluid with variable viscosity. Then considering the transient property of blood flow, an unsteady non-Newtonian solver based on unstructured grid is developed by introducing the temporal term by first-order upwind difference scheme. Using the proposed solver, the blood flows in carotid bifurcation of hypertensive patients and healthy people are simulated. The result shows that the possibility of the genesis and development of atherosclerosis is increased, because of the increase in incoming flow shock and backflow areas of the hypertensive patients, whose WSS was 20∼87.1% lower in outer vascular wall near the bifurcation than that of the normal persons and 3.7∼5.5% lower in inner vascular wall downstream the bifurcation.

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Stress–strain behavior of the passive basilar artery in normotension and hypertension

Cited by 54 publications

References 16 publications

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

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

Constitutive modelling of arteries

Unsteady Non-Newtonian Solver on Unstructured Grid for the Simulation of Blood Flow

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