Numerical Simulation of Time-Dependent Non-Newtonian Nanopharmacodynamic Transport Phenomena in a Tapered Overlapping Stenosed Artery

Ali, Nasir; Zaman, Asad; Sajid, Muhammad; Bég, O. Anwar; Shamshuddin, Md.; Kadir, A

doi:10.1615/nanoscitechnolintj.2018027297

Cited by 27 publications

(13 citation statements)

References 65 publications

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“…Recently, many advanced computational methods are developed to enhance the accuracy of the standard finite element method (FEM). 32,33 These methods are established to improve the precision and stability of traditional methods. In contrast, they may increase the computational cost.…”

Section: Model Formulationmentioning

confidence: 99%

Role of Oxygen Concentration in the Osteoblasts Behavior: A Finite Element Model

Urdeitx

Farzaneh

Mousavi

et al. 2020

J. Mech. Med. Biol.

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Oxygen concentration plays a key role in cell survival and viability. Besides, it has important effects on essential cellular biological processes such as cell migration, differentiation, proliferation and apoptosis. Therefore, the prediction of the cellular response to the alterations of the oxygen concentration can help significantly in the advances of cell culture research. Here, we present a 3D computational mechanotactic model to simulate all the previously mentioned cell processes under different oxygen concentrations. With this model, three cases have been studied. Starting with mesenchymal stem cells within an extracellular matrix with mechanical properties suitable for its differentiation into osteoblasts, and under different oxygen conditions to evaluate their behavior under normoxia, hypoxia and anoxia. The obtained results, which are consistent with the experimental observations, indicate that cells tend to migrate toward zones with higher oxygen concentration where they accelerate their differentiation and proliferation. This technique can be employed to control cell migration toward fracture zones to accelerate the healing process. Besides, as expected, to avoid cell apoptosis under conditions of anoxia and to avoid the inhibition of the differentiation and proliferation processes under conditions of hypoxia, the state of normoxia should be maintained throughout the entire cell-culture process.

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Section: Model Formulationmentioning

confidence: 99%

Role of Oxygen Concentration in the Osteoblasts Behavior: A Finite Element Model

Urdeitx

Farzaneh

Mousavi

et al. 2020

J. Mech. Med. Biol.

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“…For the subsequent analysis, we shall assume that

δ^{*}

<< 1 and ε = O (1), that is, the maximum height of the stenosis is small in comparison with the radius of the artery and also that the radius of the artery and length of the stenotic region are of comparable magnitude. Hence, these parameters should be neglected . In this study, viscosity of nanofluid is considered as a function of temperature as given in the Vogel model .…”

Section: Magnetic Non‐newtonian Nanoparticle Blood Flow Modelmentioning

confidence: 99%

“…Bég et al studied combined nanofluid doping and oxytactic biconvection micro‐organisms in near‐wall flows of microbial fuel cells. Ali et al presented a comprehensive computational model for studying unsteady heat and mass transfer in streaming blood flow doped with nanoparticles via a tapered stenotic artery.…”

Section: Introductionmentioning

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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“…Giljohann et al [63], and Kumar et al [64], investigated the effect of gold nanoparticles suspension in blood. Ali et al [65] presented a comprehensive computational model for studied unsteady heat and mass transfer in nanoparticle doped streaming blood flow via a tapered stenotic artery using the Buongiorno model.…”

Section: Introductionmentioning

confidence: 99%

Computational fluid dynamic simulation of two-fluid non-Newtonian nanohemodynamics through a diseased artery with a stenosis and aneurysm

Dubey

Vasu

Bég

et al. 2020

Computer Methods in Biomechanics and Biomedical Engineering

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Numerical Simulation of Time-Dependent Non-Newtonian Nanopharmacodynamic Transport Phenomena in a Tapered Overlapping Stenosed Artery

Abstract: Ti t l e N u m e ri c al si m ul a tio n of ti m e-d e p e n d e n t n o n-N e w t o ni a n n a n o-p h a r m a c o dy n a m ic t r a n s p o r t p h e n o m e n a in a t a p e r e d ov e rl a p pi n g s t e n o s e d a r t e ry

Cited by 27 publications

References 65 publications

Role of Oxygen Concentration in the Osteoblasts Behavior: A Finite Element Model

Role of Oxygen Concentration in the Osteoblasts Behavior: A Finite Element Model

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

Computational fluid dynamic simulation of two-fluid non-Newtonian nanohemodynamics through a diseased artery with a stenosis and aneurysm

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