Finite Element Modeling and Simulation of Arteries in the Human Arm to Study the Aortic Pulse Wave Propagation

Choudhari, Pranali; Panse, M. S.

doi:10.1016/j.procs.2016.07.277

Cited by 18 publications

(13 citation statements)

References 19 publications

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“…The outlet condition pressure was considered to be 125 [mmHg]*f(t). These conditions are similar to those adopted by Choudhari and Panse [31]. This function has two peaks which have different amplitudes and different periods.…”

Section: Initial and Boundary Conditionssupporting

confidence: 79%

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Numerical Study of the Blood Flow in a Deformable Human Aorta

2019

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In this work, we present a numerical investigation of blood flow in a portion of the human vascular system. More precisely, the present work analyzed the blood flow in the upper portion of the aorta. The aorta and its ramified blood vessels are surrounded by the cardiac muscle. The blood flow generates pressure on the internal surfaces of the artery and its ramifications, thereby causing deformation of the cardiac muscle. The numerical analysis used the Navier–Stokes equations as the governing equations of blood flow for the calculation of the velocity field and pressure distribution in the blood. The neo-Hookean hyperelastic model was used for the description of the behavior of the vessel walls. The velocity and pressure distributions were analyzed. The deformation of the vessel was also investigated. The numerical results could be used to better understand and predict the factors that trigger cardiovascular diseases and distortions of the aorta and as a diagnostic tool in clinical applications.

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Section: Initial and Boundary Conditionssupporting

confidence: 79%

“…During a cycle, the velocity varies between a minimal and a maximal value. The duration of each period is 0.8 s. We introduced the following function [31]:…”

Section: Initial and Boundary Conditionsmentioning

confidence: 99%

Numerical Study of the Blood Flow in a Deformable Human Aorta

2019

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“…Choudhari and Panse 16 selected the ascending aorta, carotid, brachial, interosseous, ulnar and radial arteries; then their model did not include palmar arch artery. Kim et al 17 simulated the model including radial, ulnar, deep and superficial palmar arch arteries, but not the interosseous artery.…”

Section: Discussionmentioning

confidence: 99%

“…Furthermore, their results of pressure wave and flow rate were in agreement with patients’ records already published in the literature. In 2016, Choudhari and Panse 16 simulated the flow in artery in human arm to study the aortic pulse wave propagation; they used finite element model for ascending aorta, carotid, brachial, interosseous, ulnar and radial artery, but not the palmar arch artery. Furthermore, they simulated using COMSOL multi-physics and obtained the static pressure, velocity profile and wall shear stresses, simulation results of which were supported by comparing the standard published results.…”

Section: Introductionmentioning

confidence: 99%

Simulation Analysis of Blood Flow in Arteries of the Human Arm

Liu

Pan

et al. 2017

Biomed. Eng. Appl. Basis Commun.

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Arteries in the upper limb play important roles in the circulation system of the human body. In particular, the radial artery has received considerable attention in traditional Chinese medicine for thousands of years. Here, a 3D model for the arm arteries has been created uncomplicated, in a Chinese adult’s left hand, from the magnetic resonance imaging data, using professional modeling software to restore the basic structure of the arm artery in human body, before being imported to Ansys software for simulation. Blood model has been only simulated, and using the blood density of constant parameter and viscosity using the Carreau fluid model, and using viscous-laminar model of Fluent to obtain the velocity profile, static pressure and shear stress in the brachial, interosseous, ulnar, radial and palmar arch arteries. In particular, the brachial and bifurcations have the high pressure and velocity profiles. The simulation results obtained here are also validated by those published in the literature and proved the ulnar artery prevails over the radial artery as a blood supplier to the vessels in the wrist and hand.

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“…Lozovskiy et al developed a finite element method for incompressible viscous blood flow in a time‐dependent domain using a quasi‐Lagrangian formulation of the problem, which provides stability and convergence analysis of the fully discrete (finite‐difference in time and finite‐element in space) method. Finite element modeling and simulation of the arterial network in the human arm for the aortic pulse wave propagation has been described by Choudhari et al Gupta et al employed a finite element method to study drug diffusion in the human dermal region. They employed linear shape functions and discretized the dermal region into three layers by considering a linear concentration variation in each layer and defined as a function of one space variable.…”

Section: Finite Element Simulation With Freefem++mentioning

confidence: 99%

Finite element analysis of non‐Newtonian magnetohemodynamic flow conveying nanoparticles through a stenosed coronary artery

Vasu

Dubey

Bég

2019

Heat Trans. Asian Res.

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The present study considers two-dimensional mathematical modeling of non-Newtonian nanofluid hemodynamics with heat and mass transfer in a stenosed coronary artery in the presence of a radial magnetic field. The second-grade differential viscoelastic constitutive model is adopted for blood to mimic non-Newtonian characteristics, and blood is considered to contain a homogenous suspension of nanoparticles. The Vogel model is employed to simulate the variation of blood viscosity as a function of temperature.The governing equations are an extension of the Navier-Stokes equations with linear Boussinesq's approximation and Buongiorno's nanoscale model (which simulates both heat and mass transfer). The conservation equations are normalized by employing appropriate nondimensional variables. It is assumed that the maximum height of the stenosis is small in comparison with the radius of the artery, and, furthermore, that the radius of the artery and length of the stenotic region are of comparable magnitude. To study the influence of vessel geometry on blood flow and nanoparticle transport, variation in the design and size of the stenosis is considered in the domain. The transformed equations are solved numerically by means of the finite element method based on the variational approach and simulated using the FreeFEM++ code. A detailed grid-independence study is included. Blood flow, heat, and mass transfer characteristics are examined for the effects of selected geometric, nanoscale, rheological, viscosity, and magnetic parameters, that is, stenotic diameter (d), viscoelastic parameter (λ 1 ), thermophoresis parameter (N t ), Brownian motion parameter (N b ), and magnetic body force parameter (M) at the throat of the stenosis and throughout the arterial domain. The velocity, temperature, and nanoparticle concentration fields are also visualized through instantaneous patterns of contours. An increase in magnetic and thermophoresis parameters is found to enhance the temperature, nanoparticle concentration, and skin-friction coefficient. Increasing Brownian motion parameter is observed to accelerate the blood flow. Narrower stenosis significantly alters the temperature and nanoparticle distributions and magnitudes. The novelty of the study relates to the combination of geometric complexity, multiphysical nanoscale, and thermomagnetic behavior, and also the simultaneous presence of biorheological behavior (all of which arise in actual cardiovascular heat transfer phenomena) in a single work with extensive visualization of the flow, heat, and mass transfer characteristics. The simulations are relevant to the diffusion of nano-drugs in magnettargeted treatment of stenosed arterial disease. K E Y W O R D Sarterial stenosis, finite element method, magnetohydrodynamics, nano-drugs, non-Newtonian blood flow, thermophoresis, Vogel's model

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Finite Element Modeling and Simulation of Arteries in the Human Arm to Study the Aortic Pulse Wave Propagation

Cited by 18 publications

References 19 publications

Numerical Study of the Blood Flow in a Deformable Human Aorta

Numerical Study of the Blood Flow in a Deformable Human Aorta

Simulation Analysis of Blood Flow in Arteries of the Human Arm

Finite element analysis of non‐Newtonian magnetohemodynamic flow conveying nanoparticles through a stenosed coronary artery

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