Flow dynamics of red blood cells and their biomimetic counterparts

Vlahovska, Petia M.; Barthès-Biesel, Dominique; Misbah, Chaouqi

doi:10.1016/j.crhy.2013.05.001

Cited by 41 publications

(39 citation statements)

References 104 publications

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“…These methods use material laws to describe the energy-strain relation of the membrane. A comprehensive review can be found by Li et al [41] and in more detail, by Vlahovska et al [42]. Particle-based models are an alternate approach to modeling cells that has gained momentum in recent years.…”

Section: Mathematical Treatment Of Fluid Mechanics Underlying Marginamentioning

confidence: 99%

Drug Carrier Interaction With blood: a Critical Aspect for High-Efficient Vascular-Targeted Drug Delivery Systems

et al. 2015

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Vascular wall endothelial cells control several physiological processes and are implicated in many diseases, making them an attractive candidate for drug targeting. Vascular-targeted drug carriers (VTCs) offer potential for reduced side effects and improved therapeutic efficacy, however, only limited therapeutic success has been achieved to date. This is perhaps due to complex interactions of VTCs with blood components, which dictate VTC transport and adhesion to endothelial cells. This review focuses on VTC interaction with blood as well as novel ‘bio-inspired’ designs to mimic and exploit features of blood in VTC development. Advanced approaches for enhancing VTCs are discussed along with applications in regenerative medicine, an area of massive potential growth and expansion of VTC utility in the near future.

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Section: Mathematical Treatment Of Fluid Mechanics Underlying Marginamentioning

confidence: 99%

Drug Carrier Interaction With blood: a Critical Aspect for High-Efficient Vascular-Targeted Drug Delivery Systems

et al. 2015

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“…[1][2][3][4][5][6][7][8][9][10][11][12][13][14][15], and the references therein). The emerging view is that vesicles exhibit a variety of different regimes of motion depending on three control parameters: (i) the excess area = (A − 4πr 2 0 )/r 2 0 , or reduced volume ν defined as ν = 6 √ πV /A 3/2 [ = 4π (ν −2/3 − 1)]; (ii) the viscosity contrast λ = η int /η ext ; and (iii) the bending number (or dimensionless shear rate) C κ = η extγ r 3 0 /κ, where A is the vesicle area, r 0 = (3V /4π ) 1/3 , V being the volume of the vesicle, η int and η ext are the viscosities of the internal and the external fluids, respectively, and κ is the bending rigidity modulus.…”

Section: Introductionmentioning

confidence: 99%

Membrane compression in tumbling and vacillating-breathing regimes for quasispherical vesicles

Guedda

2014

Phys. Rev. E

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We derive some analytical results of a well-known model for quasispherical vesicles in a linear shear flow at low deformability. Attention is focussed on the oscillatory regimes: the tumbling (TB) mode, vacillating-breathing (VB) mode, and the transition from vacillating-breathing to tumbling, depending on a control parameter Γ. It is shown that, during the VB-to-TB transition (Γ=1), the vesicle momentarily attains its maximal extension in the vorticity direction and transits through a circular profile in the shear plane for which the radius is exactly determined. In addition, we provide an explicit analytical expression for the effective membrane tension for different types of motions. We find a critical bending number below which the membrane undergoes compression at each instant and show that, during the VB-to-TB transition, a fourth-order membrane deformation is possible.

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“…The dynamics of elastic membranes, shells and capsules in fluid flow has become an active research area in computational physics and computational biology. Example systems include vesicle membranes immersed in fluids [1,2,3,4], red and white blood cells transported with the blood plasma [5,6,7,8], general biological cells including cytoplasmic flows [9,10], or even man-made elastic thin shells to deliver cargo though a fluid [11]. Therefore, there exists a broad interest in advanced modeling and simulation technologies that enable the understanding of such systems.…”

Section: Introductionmentioning

confidence: 99%

An ALE method for simulations of axisymmetric elastic surfaces in flow

Mokbel

Aland

2020

Numerical Methods in Fluids

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The dynamics of membranes, shells and capsules in fluid flow has become an active research area in computational physics and computational biology. The small thickness of these elastic materials enables their efficient approximation as a hypersurface which exhibits an elastic response to in-plane stretching and out-of-plane bending, possibly accompanied by a surface tension force. In this work, we present a novel ALE method to simulate such elastic surfaces immersed in Navier-Stokes fluids. The method combines high accuracy with computational efficiency, since the grid is matched to the elastic surface and can therefore be resolved with relatively few grid points. The focus of this work is on axisymmetric shapes and flow conditions which are present in a wide range of biophysical problems. We formulate axisymmetric elastic surface forces and propose a discretization with surface finite-differences coupled to evolving finite elements. We further develop an implicit coupling strategy to reduce time step restrictions. We show in several numerical test cases that accurate results can be achieved at computational times on the order of minutes on a single core CPU. We demonstrate two state-of-the-art applications which to our knowledge cannot be simulated with any other numerical method so far: We present first simulations of the observed shape oscillations of novel microswimming shells and the uniaxial compression of the cortex of a biological cell during an AFM experiment.

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Flow dynamics of red blood cells and their biomimetic counterparts

Abstract: Living fluids/Fluides vivants Flow dynamics of red blood cells and their biomimetic counterparts Dynamique sous écoulement des globules rouges et de leurs contreparties biomimétiques

Cited by 41 publications

References 104 publications

Drug Carrier Interaction With blood: a Critical Aspect for High-Efficient Vascular-Targeted Drug Delivery Systems

Drug Carrier Interaction With blood: a Critical Aspect for High-Efficient Vascular-Targeted Drug Delivery Systems

Membrane compression in tumbling and vacillating-breathing regimes for quasispherical vesicles

An ALE method for simulations of axisymmetric elastic surfaces in flow

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