Numerical simulation of transient dynamic behavior of healthy and hardened red blood cells in microcapillary flow

Hashemi, Zahra; Rahnama, Mohammad

doi:10.1002/cnm.2763

Cited by 12 publications

(9 citation statements)

References 33 publications

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“…The effect of the initial red cell orientation to the final deformation is investigated when the symmetry axis of the red cell lies perpendicular to the flow direction as shown in Figure . The calculation indicates a completely different red cell deformation, which is in accord with the Figure 14 of Hashemi and Rahnama . For the present red cell orientation, the red cell moves faster, since its location corresponds to the higher velocity region of the plasma within the capillary tube.…”

Section: Numerical Resultssupporting

confidence: 85%

“…These separation lines can be easily seen if the streamlines are drawn with respect to the red cell held stationary while the tube moves to the left. The initial orientation of the RBC is also an important factor, which defines the final deformed shape . The effect of the initial red cell orientation to the final deformation is investigated when the symmetry axis of the red cell lies perpendicular to the flow direction as shown in Figure .…”

Section: Numerical Resultsmentioning

confidence: 99%

“…Chivuka et al simulated the deformation of a biconcave RBC in a fully developed Poiseuille flow through a capillary using the non‐uniform rational B‐splines (NURBS) ‐based isogeometric analysis combined with the immersed boundary method proposed by Peskin . Hashemi and Rahnama proposed a three‐dimensional hybrid method, combining lattice Boltzmann method for plasma flow, finite element method for RBC membrane analysis, and immersed boundary method for their interaction. The effect of membrane deformability, its initial orientation, velocity, and flow pressure gradient are investigated.…”

Section: Introductionmentioning

confidence: 99%

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A monolithic fluid‐structure interaction framework applied to red blood cells

Cetin

Şahin

2018

Numer Methods Biomed Eng

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A parallel fully coupled (monolithic) fluid-structure interaction (FSI) algorithm has been applied to the deformation of red blood cells (RBCs) in capillaries, where cell deformability has significant effects on blood rheology. In the present FSI algorithm, fluid domain is discretized using the side-centered unstructured finite volume method based on the Arbitrary Lagrangian-Eulerian (ALE) formulation; meanwhile, solid domain is discretized with the classical Galerkin finite element formulation for the Saint Venant-Kirchhoff material in a Lagrangian frame. In addition, the compatible kinematic boundary condition is enforced at the fluid-solid interface in order to conserve the mass of cytoplasmic fluid within the red cell at machine precision. In order to solve the resulting large-scale algebraic linear systems in a fully coupled manner, a new matrix factorization is introduced similar to that of the projection method, and the parallel algebraic multigrid solver BoomerAMG is used for the scaled discrete Laplacian provided by the HYPRE library, which we access through the PETSc library. Three important physical parameters for the blood flow are simulated and analyzed: (1) the effect of capillary diameter, (2) the effect of red cell membrane thickness, and(3) the effect of red cell spacing (hematocrit). The numerical calculations initially indicate a shape deformation in which biconcave discoid shape changes to a parachute-like shape. Furthermore, the parachute-like cell shape in small capillaries undergoes a cupcake-shaped buckling instability, which has not been observed in the literature. The instability forms thin riblike features, and the red cell deformation is not axisymmetric but three-dimensional. KEYWORDS buckling instability, compatible interface condition, fluid-structure interaction, monolithic approach, red blood cell deformation Int J Numer Meth Biomed Engng. 2019;35:e3171.wileyonlinelibrary.com/journal/cnm

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Section: Numerical Resultssupporting

confidence: 85%

Section: Numerical Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A monolithic fluid‐structure interaction framework applied to red blood cells

Cetin

Şahin

2018

Numer Methods Biomed Eng

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“…They studied the deformation of an RBC in capillary flows, during tank-treading motion and hydrodynamic interaction between two cells (Shi et al, 2014 ). Hashemi and Rahnama ( 2016 ) investigated the deformation of RBCs in capillary flows with an LBM-FEM based model with IBM coupling.…”

Section: Introductionmentioning

confidence: 99%

Cellular Level In-silico Modeling of Blood Rheology with An Improved Material Model for Red Blood Cells

et al. 2017

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Many of the intriguing properties of blood originate from its cellular nature. Therefore, accurate modeling of blood flow related phenomena requires a description of the dynamics at the level of individual cells. This, however, presents several computational challenges that can only be addressed by high performance computing. We present Hemocell, a parallel computing framework which implements validated mechanical models for red blood cells and is capable of reproducing the emergent transport characteristics of such a complex cellular system. It is computationally capable of handling large domain sizes, thus it is able to bridge the cell-based micro-scale and macroscopic domains. We introduce a new material model for resolving the mechanical responses of red blood cell membranes under various flow conditions and compare it with a well established model. Our new constitutive model has similar accuracy under relaxed flow conditions, however, it performs better for shear rates over 1,500 s−1. We also introduce a new method to generate randomized initial conditions for dense mixtures of different cell types free of initial positioning artifacts.

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“…In this regard, a 2D model is more useful in understanding the relationship between elastic response and dynamics of the RBC membrane due to its less complexity compared to a 3D simulation. It should be pointed out that, although 3‐dimensional simulations have been attempted in the literature, systematic 2D simulations are useful to understand the RBC‐plasma interactions and facilitate better understanding of the passage and blockage characteristics in a simple manner.…”

Section: Introductionmentioning

confidence: 99%

The dynamics of a healthy and infected red blood cell in flow through constricted channels: A DPD simulation

Hoque

Anand

Patnaik

2018

Numer Methods Biomed Eng

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Understanding the dynamics of red blood cell (RBC) motion under in silico conditions is central to the development of cost-effective diagnostic tools. Specifically, unraveling the relationship between the rheological properties and the nature of shape change in the RBC (healthy or infected) can be extremely useful. In case of malarial infection, RBC progressively loses its deformability and tends to occlude the microvessel. In the present study, detailed mesoscopic simulations are performed to investigate the deformation dynamics of an RBC in flow through a constricted channel. Specifically, the manifestation of viscous forces (through flow rates) on the passage and blockage characteristics of a healthy red blood cell (hRBC) vis-á-vis an infected red blood cell (iRBC) are investigated. A finite-sized dissipative particle dynamics framework is used to model plasma in conjunction with a discrete model for the RBC. Instantaneous wall boundary method was used to model no-slip wall boundary conditions with a good control on the near-wall density fluctuations and compressibility effects. To investigate the microvascular occlusion, the RBC motion through 2 types of constricted channels, viz, (1) a tapered microchannel and (2) a stenosed-type microchannel, were simulated. It was observed that the deformation of an infected cell was much less compared with a healthy cell, with an attendant increase in the passage time. Apart from the qualitative features, deformation indices were obtained. The deformation of hRBC was sudden, while the iRBC deformed slowly as it traversed through the constriction. For higher flow rates, both hRBC and iRBC were found to undergo severe deformation. Even under low flow rates, hRBC could easily traverse past the constricted channel. However, for sufficiently slow flow rates (eg, capillary flows), the microchannel was found to be completely blocked by the iRBC.

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Numerical simulation of transient dynamic behavior of healthy and hardened red blood cells in microcapillary flow

Cited by 12 publications

References 33 publications

A monolithic fluid‐structure interaction framework applied to red blood cells

A monolithic fluid‐structure interaction framework applied to red blood cells

Cellular Level In-silico Modeling of Blood Rheology with An Improved Material Model for Red Blood Cells

The dynamics of a healthy and infected red blood cell in flow through constricted channels: A DPD simulation

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