Coupling the lattice‐Boltzmann and spectrin‐link methods for the direct numerical simulation of cellular blood flow

Reasor, Daniel A.; Clausen, Jonathan; Aidun, Cyrus K.

doi:10.1002/fld.2534

Cited by 82 publications

(110 citation statements)

References 28 publications

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“…It should be noted that U t is transformed into the dimensional velocityŨ t to compare with available experimental data and calculated values. It is seen that the present results are in good agreement with experimental data by Tsukada et al (2001) and simulation results by Reasor Jr et al (2012). Therefore, it is verified that the present RBC model can be applied to simulation of the motion of RBCs in microscale capillary blood vessels.…”

Section: Validation Of Rbc Modelsupporting

confidence: 88%

Lattice Boltzmann simulation of motion of red blood cell in constricted circular pipe flow

Yoshino

Katsumi

2014

JFST

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Section: Validation Of Rbc Modelsupporting

confidence: 88%

Lattice Boltzmann simulation of motion of red blood cell in constricted circular pipe flow

Yoshino

Katsumi

2014

JFST

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“…In addition, we include both the normal and the tangential interactions between the lipid bilayer and the cytoskeleton as well as the membrane viscosities. This twocomponent mesoscale RBC model can also be implemented in conjunction with other methods such as the lattice Boltzmann method (20) and multiparticle collision dynamics (21). In this unique two-component RBC model, the membrane is modeled with two different components, i.e., the lipid bilayer and the cytoskeleton.…”

Section: Resultsmentioning

confidence: 99%

Lipid bilayer and cytoskeletal interactions in a red blood cell

Peng

Pivkin

et al. 2013

Proc. Natl. Acad. Sci. U.S.A.

162

150

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We study the biomechanical interactions between the lipid bilayer and the cytoskeleton in a red blood cell (RBC) by developing a general framework for mesoscopic simulations. We treated the lipid bilayer and the cytoskeleton as two distinct components and developed a unique whole-cell model of the RBC, using dissipative particle dynamics (DPD). The model is validated by comparing the predicted results with measurements from four different and independent experiments. First, we simulated the micropipette aspiration and quantified the cytoskeletal deformation. Second, we studied the membrane fluctuations of healthy RBCs and RBCs parasitized to different intraerythrocytic stages by the malaria-inducing parasite Plasmodium falciparum. Third, we subjected the RBC to shear flow and investigated the dependence of its tank-treading frequency on shear rate. Finally, we simulated the bilayer-cytoskeletal detachment in channel flow to quantify the strength of such interactions when the corresponding bonds break. Taken together, these experiments and corresponding systematic DPD simulations probe the governing constitutive response of the cytoskeleton, elastic stiffness, viscous friction, and strength of bilayer-cytoskeletal interactions as well as membrane viscosities. Hence, the DPD simulations and comparisons with available independent experiments serve as validation of the unique two-component model and lead to useful insights into the biomechanical interactions between the lipid bilayer and the cytoskeleton of the RBC. Furthermore, they provide a basis for further studies to probe cell mechanistic processes in health and disease in a manner that guides the design and interpretation of experiments and to develop simulations of phenomena that cannot be studied systematically by experiments alone.coarse graining | worm-like chain | multiscale modeling | adhesion energy | erythrocyte T he red blood cell (RBC) membrane consists of two components: a lipid bilayer and an attached 2D spectrin network that acts as the cytoskeleton. The resistance of the lipid bilayer to bending is controlled by the bending rigidity, k c , whereas the spectrin network's resistance to shear strain is characterized by the in-plane shear modulus, μ s . Under normal conditions, the cytoskeleton is tightly attached to the lipid bilayer from the cytoplasmic side. However, under certain pathological conditions, e.g., in sickle cell disease, the cytoskeleton may become dissociated from the lipid bilayer (1). Although the biomechanics of the two-component erythrocyte membrane have been studied extensively for decades (2), the mechanical properties of the interactions between the lipid bilayer and the cytoskeleton (such as elastic stiffness, viscous friction, and strength) via the pinning connections of transmembrane proteins are still largely unknown. This is at least in part ascribed to the fact that it is difficult to measure these interactions directly from experiments, because the length scale of these connections is too small compared with the chara...

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“…State-of-the-art calculations of the detailed hydrodynamics of blood involve direct numerical simulations (DNS). [8][9][10][11] DNS models can simultaneously resolve the deformation dynamics of the elastic cell membranes of up to several thousand red blood cells (RBCs) as well as the inter-cell hydrodynamics of the fluid plasma, all in full 3D. 9 However, such calculations require a steep price in computational efforts, as large computer clusters running thousands of CPUs in parallel may be involved, 9 and the computations may take days.…”

Section: Introductionmentioning

confidence: 99%

“…9 However, such calculations require a steep price in computational efforts, as large computer clusters running thousands of CPUs in parallel may be involved, 9 and the computations may take days. 8 The computational cost may be reduced significantly by continuum modeling. Lei et al 12 investigated the limit of small ratios a/H of the particle radius a and the container size H. They found that, to a good approximation, continuum descriptions are valid for a/H ≲ 0.02.…”

Section: Introductionmentioning

confidence: 99%

Continuum modeling of hydrodynamic particle–particle interactions in microfluidic high-concentration suspensions

Ley

Bruus

2016

Lab Chip

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A continuum model is established for numerical studies of hydrodynamic particle-particle interactions in microfluidic high-concentration suspensions. A suspension of microparticles placed in a microfluidic channel and influenced by an external force, is described by a continuous particle-concentration field coupled to the continuity and Navier-Stokes equation for the solution. The hydrodynamic interactions are accounted for through the concentration dependence of the suspension viscosity, of the single-particle mobility, and of the momentum transfer from the particles to the suspension. The model is applied on a magnetophoretic and an acoustophoretic system, respectively, and based on the results, we illustrate three main points: (1) for relative particle-to-fluid volume fractions greater than 0.01, the hydrodynamic interaction effects become important through a decreased particle mobility and an increased suspension viscosity.(2) At these high particle concentrations, particle-induced flow rolls occur, which can lead to significant deviations of the advective particle transport relative to that of dilute suspensions. (3) Which interaction mechanism that dominates, depends on the specific flow geometry and the specific external force acting on the particles.

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Coupling the lattice‐Boltzmann and spectrin‐link methods for the direct numerical simulation of cellular blood flow

Cited by 82 publications

References 28 publications

Lattice Boltzmann simulation of motion of red blood cell in constricted circular pipe flow

Lattice Boltzmann simulation of motion of red blood cell in constricted circular pipe flow

Lipid bilayer and cytoskeletal interactions in a red blood cell

Continuum modeling of hydrodynamic particle–particle interactions in microfluidic high-concentration suspensions

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