A new multiscale model for the mechanical behavior of vein walls

Nierenberger, Mathieu; Rémond, Yves; Ahzi, Saı̈d

doi:10.1016/j.jmbbm.2013.04.001

Cited by 14 publications

(15 citation statements)

References 42 publications

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“…A future study that integrates the media with the adventitia model is needed to provide a two-layer microstructural model of an intact coronary artery. In addition, several multiscale models have been developed to account for nanoscale effects, which account for interactions between cellular actin filaments and intracellular elastin and collagen fibrils (32,40,41). Although these models may shed light on the micromechanical environment of the vessel wall, their application and development are hindered by lack of accurate mechanical and geometrical properties of constituents at the nanoscale.…”

Section: Discussionmentioning

confidence: 99%

A validated 3D microstructure-based constitutive model of coronary artery adventitia

et al. 2016

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Chen H, Guo X, Luo T, Kassab GS. A validated 3D microstructure-based constitutive model of coronary artery adventitia. J Appl Physiol 121: 333-342, 2016. First published May 12, 2016 doi:10.1152/japplphysiol.00937.2015.-A structure-based model that accurately predicts micro-or macromechanical behavior of blood vessels is necessary to understand vascular physiology. Based on recently measured microstructural data, we propose a three-dimensional microstructural model of coronary adventitia that incorporates the elastin and collagen distributions throughout the wall. The role of ground substance was found to be negligible under physiological axial stretch z ϭ 1.3, based on enzyme degradation of glycosaminoglycans in swine coronary adventitia (n ϭ 5). The thick collagen bundles of outer adventitia (n ϭ 4) were found to be undulated and unengaged at physiological loads, whereas the inner adventitia consisted of multiple sublayers of entangled fibers that bear the majority of load at higher pressures. The microstructural model was validated against biaxial (inflation and extension) experiments of coronary adventitia (n ϭ 5). The model accurately predicted the nonlinear responses of the adventitia, even at high axial force (axial stretch ratio z ϭ 1.5). The model also enabled a reliable estimation of material parameters of individual fibers that were physically reasonable. A sensitivity analysis was performed to assess the effect of using mean values of the distributions for fiber orientation and waviness as opposed to the full distributions. The simplified mean analysis affects the fiber stress-strain relation, resulting in incorrect estimation of mechanical parameters, which underscores the need for measurements of fiber distribution for a rigorous analysis of fiber mechanics. The validated structure-based model of coronary adventitia provides a deeper understanding of vascular mechanics in health and can be extended to disease conditions. constitutive model; collagen; elastin; microstructure; adventitia; material parameters MICROSTRUCTURAL APPROACHES have been advocated for modeling blood vessels to understand better the nonlinear mechanical responses of vessels (7,17,18,25). Mechanical predictions are thought to be more accurate than those of phenomenological models, as these models account for microstructural features of vessel components, as well as heterogeneity of material properties. The microstructural parameters have been ad hoc rather than based on experimental measurements, due to limited morphological data of the vessel wall (4,17,23,51). The microstructure of the vessel wall, which includes elastin and collagen fibers, smooth muscle cells, and ground substance, is distributed differently in individual vessel layers, i.e., tunica media and adventitia (8,36,43). A microstructural constitutive model should be specific for a particular layer based on experimental measurements of microstructure (2).The coronary adventitia consists of three major constituents-elastin, collagen fibers, and ground substance-and...

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Section: Discussionmentioning

confidence: 99%

A validated 3D microstructure-based constitutive model of coronary artery adventitia

et al. 2016

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“…In this part, some statistical approaches that tend to encompass the physics of soft tissues physics are detailed. They come from the study of the collagen network and use a change of scale method [45,181]. A collagen molecule is defined by its length, its stiffness and its helical structure.…”

Section: Statistical Approachesmentioning

confidence: 99%

Hyperelastic Energy Densities for Soft Biological Tissues: A Review

Chagnon

Rebouah

Favier

2014

J Elast

235

136

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International audienceMany soft tissues are naturally made of a matrix and fibres that present some privileged directions. They are known to support large reversible deformations. The mechanical behaviour of these tissues highlights different phenomena as hysteresis, stress softening or relaxation. A hyperelastic constitutive equation is typically the basis of the model that describes the behaviour of the material. The hyperelastic constitutive equation can be isotropic or anisotropic, it is generally expressed by means of strain components or strain invariants. This paper proposes a review of these constitutive equations

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“…Martufi et al (Martufi and Gasser, 2011) and Sáez et al (Sáez et al, 2014) developed structural constitutive models of blood vessels, of which collagen fibers are assembled by proteoglycan cross-linked collagen fibrils and reinforce an isotropic matrix material, albeit some experimental observations suggested that proteoglycan plays a negligible role in the elastic behavior of vascular tissues (Viidik et al, 1982; Fessel and Snedeker, 2011; Chen et al, 2015). Furthermore, many multi-scale homogenization approaches have been developed to account for nanoscale effects, which are related to intermolecular cross-links and collagen mechanics (Stylianopoulos and Barocas, 2007; Tang et al, 2009; Nierenberger et al, 2013; Marino and Vairo, 2014). …”

Section: Microstructure-based Mechanical Models Of Heathly Coronarymentioning

confidence: 99%

Microstructure-based biomechanics of coronary arteries in health and disease

Chen

Kassab

2016

Journal of Biomechanics

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Coronary atherosclerosis is the major cause of mortality and disability in developed nations. A deeper understanding of mechanical properties of coronary arteries and hence their mechanical response to stress is significant for clinical prevention and treatment. Microstructure-based models of blood vessels can provide predictions of arterial mechanical response at the macro- and micro-mechanical level for each constituent structure. Such models must be based on quantitative data of structural parameters (constituent content, orientation angle and dimension) and mechanical properties of individual adventitia and media layers of normal arteries as well as change of structural and mechanical properties of atherosclerotic arteries. The microstructural constitutive models of healthy coronary arteries consist of three major mechanical components: collagen, elastin, and smooth muscle cells, while the models of atherosclerotic arteries should account for additional constituents including intima, fibrous plaque, lipid, calcification, etc. This review surveys the literature on morphology, mechanical properties, and microstructural constitutive models of normal and atherosclerotic coronary arteries. It also provides an overview of current gaps in knowledge that must be filed in order to advance this important area of research for understanding initiation, progression and clinical treatment of vascular disease. Patient-specific structural models are highlighted to provide diagnosis, virtual planning of therapy and prognosis when realistic patient-specific geometries and material properties of diseased vessels can be acquired by advanced imaging techniques.

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A new multiscale model for the mechanical behavior of vein walls

Cited by 14 publications

References 42 publications

A validated 3D microstructure-based constitutive model of coronary artery adventitia

A validated 3D microstructure-based constitutive model of coronary artery adventitia

Hyperelastic Energy Densities for Soft Biological Tissues: A Review

Microstructure-based biomechanics of coronary arteries in health and disease

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