Biomechanics of Porcine Renal Arteries and Role of Axial Stretch

Avril, Stéphane; Badel, Pierre; Gabr, Mohamed; Sutton, Michael A.; Lessner, Susan M.

doi:10.1115/1.4024685

Cited by 22 publications

(16 citation statements)

References 29 publications

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“…Though the microstructure-based constitutive models have been widely used, most reports used fitting of load-deformation (or stress-strain curve) data to determine material constants and very few reports of using experimental measurement of collagen microstructure, especially for dispersion parameter κ (Avril et al, 2013; Badel et al, 2013; Wan et al, 2012; Wang et al, 2014). The material parameters obtained in this paper will also be useful for computational simulations of arterial wall.…”

Section: Discussionmentioning

confidence: 99%

Artery buckling analysis using a two-layered wall model with collagen dispersion

Mottahedi

Han

2016

Journal of the Mechanical Behavior of Biomedical Materials

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Artery buckling has been proposed as a possible cause for artery tortuosity associated with various vascular diseases. Since microstructure of arterial wall changes with aging and diseases, it is essential to establish the relationship between microscopic wall structure and artery buckling behavior. The objective of this study was to developed arterial buckling equations to incorporate the two-layered wall structure with dispersed collagen fiber distribution. Seven porcine carotid arteries were tested for buckling to determine their critical buckling pressures at different axial stretch ratios. The mechanical properties of these intact arteries and their intima-media layer were determined via pressurized inflation test. Collagen alignment was measured from histological sections and modeled by a modified von-Mises distribution. Buckling equations were developed accordingly using microstructure-motivated strain energy function. Our results demonstrated that collagen fibers disperse around two mean orientations symmetrically to the circumferential direction (39.02°±3.04) in the adventitia layer; while aligning closely in the circumferential direction (2.06°±3.88) in the media layer. The microstructure based two-layered model with collagen fiber dispersion described the buckling behavior of arteries well with the model predicted critical pressures match well with the experimental measurement. Parametric studies showed that with increasing fiber dispersion parameter, the predicted critical buckling pressure increases. These results validate the microstructure-based model equations for artery buckling and set a base for further studies to predict the stability of arteries due to microstructural changes associated with vascular diseases and aging.

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Section: Discussionmentioning

confidence: 99%

Artery buckling analysis using a two-layered wall model with collagen dispersion

Mottahedi

Han

2016

Journal of the Mechanical Behavior of Biomedical Materials

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“…For example, Flynn and Rubin have proposed a three-parameter strain energy density model based on total dilatation, an orthotropic invariant, and a measure of the elas tic distortional deformation [36]. Sun and Sacks have published a planar soft-tissue seven parameter generalized Fung-elastic con stitutive model with two restrictions for numerical stability [37], Other constitutive equations have been published with application to tissue from, e.g., anterior cruciate ligament [38], abdominal aortic aneurysm tissue [39], and healthy renal artery [40].…”

Section: F Ig 5 R E P R E S E N Ta Tiv E E X P E R Im E N T P a R Amentioning

confidence: 98%

Combining Displacement Field and Grip Force Information to Determine Mechanical Properties of Planar Tissue With Complicated Geometry

Nagel

Hadi

Claeson

et al. 2014

Journal of Biomechanical Engineering

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Performing planar biaxial testing and using nominal stress-strain curves for soft-tissue characterization is most suitable when (1) the test produces homogeneous strain fields, (2) fibers are aligned with the coordinate axes, and (3) strains are measured far from boundaries. Some tissue types [such as lamellae of the annulus fibrosus (AF)] may not allow for these conditions to be met due to their natural geometry and constitution. The objective of this work was to develop and test a method utilizing a surface displacement field, grip force-stretch data, and finite-element (FE) modeling to facilitate analysis of such complex samples. We evaluated the method by regressing a simple structural model to simulated and experimental data. Three different tissues with different characteristics were used: Superficial pectoralis major (SPM) (anisotropic, aligned with axes), facet capsular ligament (FCL) (anisotropic, aligned with axes, bone attached), and a lamella from the AF (anisotropic, aligned off-axis, bone attached). We found that the surface displacement field or the grip force-stretch data information alone is insufficient to determine a unique parameter set. Utilizing both data types provided tight confidence regions (CRs) of the regressed parameters and low parameter sensitivity to initial guess. This combined fitting approach provided robust characterization of tissues with varying fiber orientations and boundaries and is applicable to tissues that are poorly suited to standard biaxial testing. The structural model, a set of C++ finite-element routines, and a Matlab routine to do the fitting based on a set of force/displacement data is provided in the on-line supplementary material.

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“…This model has been applied and developed for various tissues (Holzapfel et al, 2005a; Kroon and Holzapfel, 2008; Wan et al, 2012; Avril et al, 2013) and numerical simulations (Gasser et al, 2002, 2006) because of the straightforward mathematical form of SEF. Kroon and Holzapfel (Kroon and Holzapfel, 2008) incorporated the model into multi-layered structures with the mean fiber alignments that distinguished one layer from another.…”

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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Biomechanics of Porcine Renal Arteries and Role of Axial Stretch

Cited by 22 publications

References 29 publications

Artery buckling analysis using a two-layered wall model with collagen dispersion

Artery buckling analysis using a two-layered wall model with collagen dispersion

Combining Displacement Field and Grip Force Information to Determine Mechanical Properties of Planar Tissue With Complicated Geometry

Microstructure-based biomechanics of coronary arteries in health and disease

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