Transport of platelets induced by red blood cells based on mixture theory

Wu, Wei‐Tao; Aubry, Nadine; Massoudi, Mehrdad; Antaki, James F.

doi:10.1016/j.ijengsci.2017.05.002

Cited by 23 publications

(12 citation statements)

References 65 publications

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“…The system of the non-linear ordinary differential equations (26) and (28) subject to the boundary conditions given by equations (29) -(31) are solved using the MATLAB solver bvp4c [60]. The step size is automatically adjusted by the solver.…”

Section: Resultsmentioning

confidence: 99%

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A non-linear fluid suspension model for blood flow

Aubry

Antaki

et al. 2019

International Journal of Non-Linear Mechanics

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Motivated by the complex rheological behaviors observed in small/micro scale blood vessels, such as the Fahraeus effect, plasma-skimming, shear-thinning, etc., we develop a non-linear suspension model for blood. The viscosity is assumed to depend on the volume fraction (hematocrit) and the shear rate. The migration of the red blood cells (RBCs) is studied using a concentration flux equation. A parametric study with two representative problems, namely simple shear flow and a pressure driven flow demonstrate the ability of this reduced-order model to reproduce several key features of the two-fluid model (mixture theory approach), with much lower computational cost.

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Section: Resultsmentioning

confidence: 99%

“…Equation (27) implies a pressure distribution along the y-direction is balanced by the RBCs distribution. From equations (26) and (28), it can be seen that we need two boundary conditions for and one boundary condition for .…”

Section: Geometry and The Kinematics Of The Flowsmentioning

confidence: 99%

A non-linear fluid suspension model for blood flow

Aubry

Antaki

et al. 2019

International Journal of Non-Linear Mechanics

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“…A second-grade fluid model which shear-thins, but which by definition cannot exhibit stress-relaxation, was used to study pulsatile flow of blood in a rigid artery by Massoudi and Phuoc [20]. Recently, Massoudi, Antaki and co-workers developed a two-constituent mixture theory model for blood described in [21] which was able to predict near-wall enrichment of platelets during flow in a channel by solving diffusion equations for platelets along with the blood flow equations.…”

Section: Constitutive Models For Bloodmentioning

confidence: 99%

A Short Review of Advances in the Modelling of Blood Rheology and Clot Formation

Mohan

Rajagopal

2017

Fluids

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Several advances have taken place since the early 2000s in the field of blood flow modelling. These advances have been driven by the development of assist devices such as Left Ventricular Assist Devices (LVADs), etc., and by the acceptance of in silico tests for the generation of hypotheses concerning clot formation and lysis. We give an overview of the developments in modelling of blood rheology and clot formation/lysis in the last 10 to 15 years. In blood rheology, advances are increasingly supplemented by flow simulation studies. In clot formation (or coagulation), advances have taken place in both single-scale modeling under quiescent conditions as well as in multi-scale modeling in the presence of flow. The future will possibly see more blood flow simulations in complex geometries and, simultaneously, development and simulation of multi-scale models for clot formation and lysis.

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“…Through numerical simulations and by quantitatively comparing this with experimental measurements for three benchmark problems, [38] suggested a polynomial function for q(φ), q(φ) = 0.26φ…”

Section: The Diffusive Flux Of the Plateletsmentioning

confidence: 99%

Numerical Simulation of Red Blood Cell-Induced Platelet Transport in Saccular Aneurysms

Aubry

et al. 2017

Applied Sciences

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Abstract:We present a numerical simulation of blood flow in two aneurysmal vessels. Using a multicomponent continuum approach, called mixture theory, the velocity fields and spatial distribution of the red blood cells (RBCs) and the plasma are predicted. Platelet migration is described by a convection-diffusion equation, coupled to the RBC concentration field. The model is applied to study a two-dimensional straight vessel and multiple two-dimensional aneurysm vessels with different neck sizes. The model accurately predicts the enrichment of the platelets near the wall in the straight vessel, agreeing with the experimental measurement quantitatively. The numerical results also show that the near-wall enrichment of the platelets in the parent vessel highly influences the platelet concentration within the aneurysm. The results also indicate that the platelet concentration within the aneurysm increases with Reynolds number and decreases with a smaller neck size. This might have significance on the formation of thrombus (blood clot) within the aneurysm, which in turn may have a protective effect on preventing ruptures. Based on the success with the problems studied, we believe the current model can be a useful tool for analyzing the blood flow and platelets transport within patient specific aneurysms in the future.

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Transport of platelets induced by red blood cells based on mixture theory

Cited by 23 publications

References 65 publications

A non-linear fluid suspension model for blood flow

A non-linear fluid suspension model for blood flow

A Short Review of Advances in the Modelling of Blood Rheology and Clot Formation

Numerical Simulation of Red Blood Cell-Induced Platelet Transport in Saccular Aneurysms

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