Lattice Boltzmann modelling of blood cell dynamics

Dupin, M. M.; Halliday, Ian; Care, C. M.; Munn, Lance L.

doi:10.1080/10618560802238242

Cited by 59 publications

(61 citation statements)

References 36 publications

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“…where δ(r j ,x Ψ ) is the function to cut off nodes that are too distant from r j to be included in the calculation [18,19]. In the three-dimensional model, we need to consider particles in a reference domain around the lattice node Ψ, which is composed of eight cubes where Ψ is a vertex.…”

Section: Coupling Of Particle and Fluid Dynamicsmentioning

confidence: 99%

“…Sui et al [16,17] simulated the motion of a body with elastic membrane in shear flows by using an immersed boundary method. Dupin et al [18,19] also simulated the motion of red blood cells in fluid flows. They discretized the 3D capsule membrane into flat triangular elements, and the elastic forces acting at the triangle vertices are inserted in LBM nodes.…”

Section: Introductionmentioning

confidence: 99%

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Three-Dimensional Lattice Boltzmann Simulation of Two-Phase Flow Containing a Deformable Body with a Viscoelastic Membrane

Murayama

Yoshino

Hirata

2011

Commun. comput. phys.

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Abstract. The lattice Boltzmann method (LBM) with an elastic model is applied to the simulation of two-phase flows containing a deformable body with a viscoelastic membrane. The numerical method is based on the LBM for incompressible two-phase fluid flows with the same density. The body has an internal fluid covered by a viscoelastic membrane of a finite thickness. An elastic model is introduced to the LBM in order to determine the elastic forces acting on the viscoelastic membrane of the body. In the present method, we take account of changes in surface area of the membrane and in total volume of the body as well as shear deformation of the membrane. By using this method, we calculate two problems, the behavior of an initially spherical body under shear flow and the motion of a body with initially spherical or biconcave discoidal shape in square pipe flow. Calculated deformations of the body (the Taylor shape parameter) for various shear rates are in good agreement with other numerical results. Moreover, tank-treading motion, which is a characteristic motion of viscoelastic bodies in shear flows, is simulated by the present method.

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Section: Coupling Of Particle and Fluid Dynamicsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Three-Dimensional Lattice Boltzmann Simulation of Two-Phase Flow Containing a Deformable Body with a Viscoelastic Membrane

Murayama

Yoshino

Hirata

2011

Commun. comput. phys.

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“…It may be improved using a non-linear spring model for membrane. However, compared with previously presented numerical models, such as a finite element model [5] and a Lattice Boltzmann model [10], our model has similar accuracy for the stretching of IRBCs.…”

Section: Discussionmentioning

confidence: 95%

“…Finite element modelling was performed for the stretching of an IRBC by optical tweezers [5]. Dupin et al [10] also modelled the stretching of the IRBC using the lattice Boltzmann method. We have also developed a hemodynamic model involving adhesive interactions [11].…”

Section: Introductionmentioning

confidence: 99%

Microvascular disorders induced by malaria infected red blood cells: a computational mechanical study using the biological particle method

Yamaguchi

Kondo

Imai

et al. 2009

Modelling in Medicine and Biology VIII

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We simulated malarial microvascular blood flow disturbances by using a new particle method of biological solid-fluid interaction analysis especially developed for the analysis of malaria infection. Particle based spatial discretization and the sub time step time integration could provide us with stable computations for micro scale blood flow involving interaction with many cells. We performed numerical simulation of the stretching of infected red blood cells and the results agreed well with experimental results. Our model successfully simulated the flow of infected red blood cells into narrow channels.

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“…In Section 2, the effect of the network parameters on the mechanics of planar spring networks is investigated. In this work four spring element types are employed to construct spring networks: linear, truss, neo-Hookean (NH) [24] and worm-like-chains (WLC) [11]. In Section 3, these spring networks are used to construct discrete RBC models.…”

Section: Introductionmentioning

confidence: 99%

Investigation of membrane mechanics using spring networks: Application to red-blood-cell modelling

Chen¹,

Boyle²

2014

Materials Science and Engineering: C

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a b s t r a c t a r t i c l e i n f oIn recent years a number of red-blood-cell (RBC) models have been proposed using spring networks to represent the RBC membrane. Some results predicted by these models agree well with experimental measurements. However, the suitability of these membrane models has been questioned. The RBC membrane, like a continuum membrane, is mechanically isotropic throughout its surface, but the mechanical properties of a spring network vary on the network surface and change with deformation. In this work spring-network mechanics are investigated in large deformation for the first time via an assessment of the effect of network parameters, i.e. network mesh, spring type and surface constraint. It is found that a spring network is conditionally equivalent to a continuum membrane. In addition, spring networks are employed for RBC modelling to replicate the optical tweezers test. It is found that a spring network is sufficient for modelling the RBC membrane but strain-hardening springs are required. Moreover, the deformation profile of a spring network is presented for the first time via the degree of shear. It is found that spring-network deformation approaches continuous as the mesh density increases.

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Lattice Boltzmann modelling of blood cell dynamics

Cited by 59 publications

References 36 publications

Three-Dimensional Lattice Boltzmann Simulation of Two-Phase Flow Containing a Deformable Body with a Viscoelastic Membrane

Three-Dimensional Lattice Boltzmann Simulation of Two-Phase Flow Containing a Deformable Body with a Viscoelastic Membrane

Microvascular disorders induced by malaria infected red blood cells: a computational mechanical study using the biological particle method

Investigation of membrane mechanics using spring networks: Application to red-blood-cell modelling

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