Numerical simulation of LDL particles mass transport in human carotid artery under steady state conditions

Nematollahi, Ali; Shirani, Ebrahim; Mirzaee, Iraj; Sadeghi, Mahmood

doi:10.1016/j.scient.2012.03.005

Cited by 24 publications

(24 citation statements)

References 33 publications

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“…This phenomenon is known as concentration polarization (CP). In recent studies that were focused on lumen surface concentration (LSC) in common carotid arteries [7,19], they validated their results by those obtained by Fatouraee et al [25] and analytical solutions of Johnson et al [36]. The same approach has been followed in the present study for a simple CA model at Sc ¼1.6e5.…”

Section: Numerical Methods and Validationssupporting

confidence: 85%

“…It is believed that hemodynamics plays an important role in arterial stenosis [16][17][18][19]38]. Zhang study to determine the averaged geometrical specifications of different models of ICA siphon and conducted rather a general study on WSS in an ICA, considering Newtonian blood behavior for a sinusoidal velocity inlet condition.…”

Section: Discussionmentioning

confidence: 99%

“…Wall-free model in a simple two-dimensional carotid bifurcation was employed to study WSS effects on the LDL transport [18]. Moreover, Nematollahi et al [19] explored wallfree mass transfer model inside a carotid artery with and without stenosis assuming steady state flow. However, as mentioned earlier, mass transfer inside the ICA siphon has not received proper attention in literature.…”

Section: Introductionmentioning

confidence: 99%

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Analysis of flow and LDL concentration polarization in siphon of internal carotid artery: Non-Newtonian effects

Sharifi

Niazmand

2015

Computers in Biology and Medicine

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Section: Numerical Methods and Validationssupporting

confidence: 85%

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Analysis of flow and LDL concentration polarization in siphon of internal carotid artery: Non-Newtonian effects

Sharifi

Niazmand

2015

Computers in Biology and Medicine

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“…It should also emphasize that the reattachment points do not re°ect in the LDL concentrations predicted by the Newtonian model despite the fact that almost identical separation regions are predicted by both models as indicated by the WSS distributions. Similar¯ndings are reported by the experimental work of Deng et al 51 and numerical studies of Fazli et al 12 and Nematollahi et al 13 From Fig. 7, one can also conclude that the entire recirculating zone, where WSS is the lowest, is not a critical region for plaque formation but rather the separation point with the maximum LDL concentration is a vulnerable location in this regard.…”

Section: E®ects Of Stenosis Severity On Luminal Surface Ldl Concentramentioning

confidence: 56%

“…Among these groups, wall-free model is the simplest, which describes°ow and mass concentration inside the luminal°ow by employing few parameters, while it cannot provide mass concentration across the arterial wall. Fatouraee et al, 10 Rapittsch and Perktold 11 and recently Fazli et al 12 and Nematollahi et al 13 performed numerical simulations of LDL and albumin transport to the arterial wall based on wall-free model and studied e®ects of important parameters on LDL luminal surface concentration (LSC) at various blood°ow conditions. In the more developed model,°uid-wall single-layer model incorporates wall as a simple homogenous medium.…”

Section: Introductionmentioning

confidence: 99%

Non-Newtonian effects of blood on LDL transport inside the arterial lumen and across multi-layered arterial wall with and without stenosis

Deyranlou¹,

Niazmand

Sadeghi

et al. 2016

Int. J. Mod. Phys. C

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Blood non-Newtonian behavior on low-density lipoproteins (LDL) accumulation is analyzed numerically, while°uid-multilayered arteries are adopted for nonstenotic and 30%-60% symmetrical stenosed models. Present model considers non-Newtonian e®ects inside the lumen and within arterial layers simultaneously, which has not been examined in previous studies. Navier-Stokes equations are solved along with the mass transport convection-di®usion equations and Darcy's model for species transport inside the luminal°ow and across wall layers, respectively. Carreau model for the luminal°ow and the modi¯ed Darcy equation for the power-law°uid within arterial layers are employed to model blood rheological characteristics, appropriately. Results indicate that in large arteries with relatively high Reynolds number Newtonian model estimates LDL concentration patterns well enough, however, this model seriously incompetent for regions with low WSS. Moreover, Newtonian model for plasma underestimates LDL concentration especially on luminal surface and across arterial wall. Therefore, applying non-Newtonian model seems essential for reaching to a more accurate estimation of LDL distribution in the artery. Finally, blood°ow inside constricted arteries demonstrates that LDL concentration patterns along the stenoses inside the luminal°ow and across arterial layers are strongly in°uenced as compared to the nonstenotic arteries. Additionally, among four stenosis severity grades, 40% stenosis is prone to more LDL accumulation along the post-stenotic regions. Int. J. Mod. Phys. C Downloaded from www.worldscientific.com by CAMBRIDGE UNIVERSITY on 08/18/15. For personal use only. Non-Newtonian e®ects of blood on LDL transport 1650003-3 Int. J. Mod. Phys. C Downloaded from www.worldscientific.com by CAMBRIDGE UNIVERSITY on 08/18/15. For personal use only.

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Effects of pulsatile flow and straight length on low‐density lipoprotein transport in a curved arterial wall

Tamim

Abbassi

Fatouraee

2020

Math Methods in App Sciences

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Abnormal accumulation of macromolecules such as low-density lipoproteins (LDLs) in the arterial wall causes narrowing and blockage of vessels, which leads to atherosclerosis. Effects of pulsatile nature of blood flows as well as the initial length on transport of the LDL species in the arterial boundary layer region are analyzed numerically in the present work. The set of governing equations consisting of continuity, Navier-Stokes, and species transport is solved using a projection method based on the second-order central difference discretization. The obtained results are in excellent agreement with the pertinent data. The computational results imply that the flow field and concentration distribution are time dependent but the variation of the filtration velocity can be ignored. The LDL concentration boundary layer thickness decreases in the outer part and increases in the inner part for both with or without straight length. Presence of initial straight length generates about 26% growth in the boundary layer thickness, although its effect on the LDL surface concentration (LSC) is negligible. The maximum LSC is related to the regions with minimum wall shear stress in the inner part of the curved artery, which have more potential for formation of atherosclerosis. A new numerical correlation between the LSC and boundary layer thickness is proposed and examined. K E Y W O R D Sfinite difference scheme, low-density lipoprotein transport, projection method, pulsatile flow, wall shear stress

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Numerical simulation of LDL particles mass transport in human carotid artery under steady state conditions

Cited by 24 publications

References 33 publications

Analysis of flow and LDL concentration polarization in siphon of internal carotid artery: Non-Newtonian effects

Analysis of flow and LDL concentration polarization in siphon of internal carotid artery: Non-Newtonian effects

Non-Newtonian effects of blood on LDL transport inside the arterial lumen and across multi-layered arterial wall with and without stenosis

Effects of pulsatile flow and straight length on low‐density lipoprotein transport in a curved arterial wall

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