Material properties of different layers of aorta

Hemmasizadeh, Ali; Autieri, Michael V.; Darvish, Kurosh

doi:10.1109/nebc.2012.6207033

Cited by 5 publications

(9 citation statements)

References 4 publications

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“…These are extracted by conducting nanoindentation test over 34 ring shape samples collected from seven fresh porcine aortas. 30 Also, arterial layers are modeled using linear elastic material model for comparison purpose. Material parameters as given in Table 1 for the elastic model are deduced from the viscoelastic material model.…”

Section: Wave Propagation Results With Multi-layered Arterial Modelmentioning

confidence: 99%

“…Further, the one-dimensional blood flow analysis models consider arterial wall as a single layered vessel, 6,7,22,23 despite having layered structure with different mechanical properties. [24][25][26][27][28][29][30] In the present study, the authors have tried to relax the assumption of single layered arterial structure made in the previous studies by considering a multi-layered structural model of the arterial wall 30 for the numerical simulation.…”

Section: Introductionmentioning

confidence: 99%

“…Also, in the literature it has been reported that arterial wall exhibits viscoelasticity. [30][31][32][33] However, most of the 1D wave propagation models of the blood flow consider elastic constitutive relation 4,6,7,21,[34][35][36][37][38][39][40] to model the arterial wall. There are a only few literature available on the one-dimensional blood flow study considering viscoelastic arterial model.…”

Section: Introductionmentioning

confidence: 99%

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Computationally efficient finite element formulation for blood flow analysis in multi‐layered aorta modeled as viscoelastic material

Hasan

Patel

Pradyumna

2021

Numerical Meth Engineering

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In the literature, blood flow study in an arterial segment/arterial network, using one-dimensional wave propagation model, has been carried out considering flat/parabolic/logarithmic/different degree polynomial velocity profile functions. However, such assumptions are not capable of capturing actual blood and arterial wall interaction occurring while the blood flows through the arteries. In this study, a computationally efficient axisymmetric-formulation of the Navier-Stokes equation is presented to eliminate the requirement of a priori assumed velocity profile function. Present formulation in terms of axial velocity (u), pressure (p), and domain radius (R) leads to the evolution of velocity profile as flow progresses with the time and space. We propose a multi-layered structural model of the arterial wall with each layer idealized using four-element Maxwell viscoelastic material model. Partial differential equations, mathematically representing the physical phenomena of blood flow in the complaint blood vessels, are discretized in the spatial domain by finite element method and in time domain by Galerkin time integration technique. A velocity boundary condition is prescribed at inlet and outlet boundary condition is prescribed in terms of three-parameter based Windkessel model. Results of flow characteristics are found to be in excellent agreement with the three-dimensional results available in the literature.

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Section: Wave Propagation Results With Multi-layered Arterial Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Computationally efficient finite element formulation for blood flow analysis in multi‐layered aorta modeled as viscoelastic material

Hasan

Patel

Pradyumna

2021

Numerical Meth Engineering

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“…The use of tensile aortae stresses for VD compression stress suffers the following problems: –compressive stress is assumed isotropic through different tensile moduli for axial and radial tensions are reported [ 18 ] –we neglect the differences in histology of human abdominal aortae and VD –stress–strain curves are exponential for aortae (Figure 1) –calculation of the compressive modulus from the tensile modulus is only valid within the linear response of materials: E = 3K(1−2ν), where E is the tensile modulus, K the compressive one and ν the Poisson ratio –assuming incompressibility, the bulk modulus is infinite –the Poisson ratio was assumed 0.5, [ 36 ] though it is usually undetermined for human aortae, as VD …”

Section: Resultsmentioning

confidence: 99%

Investigation on the Behavior of κ ‐Carrageenan Hydrogels for Compressive Intra‐Vessel Disintegration

Wurm

Pinggera

Pham

et al. 2020

Macromolecular Bioscience

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Gel disintegration via compression is a possible approach for the reversal of the occlusion of male vasa deferentia (VD) by hydrogels. κ ‐carrageenan (KC) hydrogels can be used for such an application. To determine the required forces for in‐vessel compressive disintegration, a gel‐tube model, preparing KC gels in different tubes, is studied. These gels are of alternating biopolymer (1–3% by mass) and potassium (100–300 mM) concentration. Gel‐filled tubes are uniaxially compressed at two different compression speeds (1 and 0.3 mm s−1). Breakage compression strains are cross studied by shear breaking gel measurements using dynamic mechanical analysis. The measurements showed good agreement. Gel structure disintegration occurred below (62 ± 8) % strain. During compression, three stages of gel disintegration are present. Gel‐tube wall detachment, gel rupture, and gel expulsion. The force required for gel disintegration and tube deformation can be added arithmetically. From the modulus of a human aortae model, it is estimated that average human pinch forces are insufficient to disintegrate 2% and 3% by mass KC hydrogels in VD by massage. The compressive disintegration would require a compression device while evading tissue damage.

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“…Although the inner and outer layers of the aortic wall-the tunica intima and tunica externa, respectively-are considerably thinner than the tunica media, they contribute substantially to the mechanical properties of the vessel (CabreraFischer et al 2013;Fischer et al 2010;Hemmasizadeh et al 2012). Whereas the tunica intima is generally very thin in young individuals and has been neglected by some previous biomechanical studies, it increases in thickness with age and under pathological conditions.…”

Section: Geometrical Representation Of Aortic Wallmentioning

confidence: 99%

Segmental differences in the orientation of smooth muscle cells in the tunica media of porcine aortae

Tonar

Kochová

Cimrman

et al. 2014

Biomech Model Mechanobiol

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The orientation of vascular smooth muscle cells of porcine aortae was assessed to test the widely accepted assumption that these smooth muscle cells are arranged in two helices. We used tangential histological sections of 82 samples of five anatomical segments of thoracic and abdominal porcine aortae and three age groups in animals ranging in age from 5 to 210 days. The distribution of the orientation of smooth muscle cell nuclei in five proximodistal segments of the porcine aortae was determined using an algorithm that fitted a mixture of one to five von Mises probability distributions of the data retrieved from histological micrographs. Automated tracking of the nuclei was confirmed by and consistent with manual histological analysis. The orientation of the vascular smooth muscle cells was successfully fitted using two von Mises distributions in most of the samples with different ages, wall thicknesses, and anatomical positions, which corresponds to two populations of vascular smooth muscle cells. A minor fraction of samples also required a tertiary von Mises distribution to describe the orientation of the smooth muscle cell nuclei. The distribution of vascular smooth muscle cells in five aortic segments ranging from the thoracic ascending aorta to the abdominal intrarenal aorta exhibited similar main directions but different shapes. These results are consistent with the widely used model of two muscular helices intermingling in the arterial wall. Furthermore, we calculated the central angles of symmetry and the mean value of angles between the two assumed smooth muscle directions. We also successfully approximated the orientation of the smooth muscle cells using a mixture of von Mises distributions and our open-source software named dist_mixtures. This method is openly available to researchers who are interested in mathematically assessing the orientation of cell nuclei in various tissues.

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Material properties of different layers of aorta

Cited by 5 publications

References 4 publications

Computationally efficient finite element formulation for blood flow analysis in multi‐layered aorta modeled as viscoelastic material

Computationally efficient finite element formulation for blood flow analysis in multi‐layered aorta modeled as viscoelastic material

Investigation on the Behavior of κ ‐Carrageenan Hydrogels for Compressive Intra‐Vessel Disintegration

Segmental differences in the orientation of smooth muscle cells in the tunica media of porcine aortae

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