Role of membrane viscosity in the orientation and deformation of a spherical capsule suspended in shear flow

1985 ◽  
Vol 160 ◽  
pp. 119-135 ◽  
Author(s):  
D. Barthes-Biesel ◽  
H. Sgaier
Keyword(s):  
Relaxation Time ◽  
Shear Flow ◽  
Red Blood Cells ◽  
Blood Cells ◽  
Liquid Droplets ◽  
Regular Perturbation ◽  
Shear Rates ◽  
Freely Suspended ◽  
Spherical Capsule

Red blood cells or artificial vesicles may be conveniently represented by capsules, i.e. liquid droplets surrounded by deformable membranes. The aim of this paper is to assess the importance of viscoelastic properties of the membrane on the motion of a capsule freely suspended in a viscous liquid subjected to shear flow. A regular perturbation solution of the general problem is obtained when the particle is initially spherical and undergoing small deformations. With a purely viscous membrane (infinite relaxation time) the capsule deforms into an ellipsoid and has a continuous flipping motion. When the membrane relaxation time is of the same order as the shear time, the particle reaches a steady ellipsoidal shape which is oriented with respect to streamlines at an angle that varies between 45° and 0°, and decreases with increasing shear rates. Furthermore it is predicted that the deformation reaches a maximum value, which is consistent with experimental observations of red blood cells.

A simple model to understand the effect of membrane shear elasticity and stress-free shape on the motion of red blood cells in shear flow

Soft Matter ◽  
2015 ◽  
Vol 11 (42) ◽  
pp. 8372-8382 ◽  
Author(s):  
Jules Dupire ◽  
Manouk Abkarian ◽  
Annie Viallat
Keyword(s):  
Simple Model ◽  
Shear Flow ◽  
Blood Cell ◽  
Red Blood Cells ◽  
Red Blood Cell ◽  
Time Variation ◽  
Blood Cells ◽  
Shear Rates ◽  
Shear Elasticity

Time variation of the inclination (θ) and the membrane rotation (ω) of a red blood cell tumbling in a shear flow for three shear rates.

State diagram for wall adhesion of red blood cells in shear flow: from crawling to flipping

Soft Matter ◽  
2019 ◽  
Vol 15 (27) ◽  
pp. 5511-5520 ◽  
Author(s):  
Anil K. Dasanna ◽  
Dmitry A. Fedosov ◽  
Gerhard Gompper ◽  
Ulrich S. Schwarz
Keyword(s):  
Angular Momentum ◽  
Shear Rate ◽  
Shear Flow ◽  
Red Blood Cells ◽  
Blood Cells ◽  
State Diagram ◽  
Momentum Conservation ◽  
Collision Dynamics ◽  
Multiparticle Collision Dynamics

Using multiparticle collision dynamics with angular momentum conservation, we investigated the role of shear rate, stiffness and viscosity contrast for the adhesion of biconcave deformable cells or capsules in shear flow.

THE TRANSIENT DEFORMATION OF RED BLOOD CELLS IN SHEAR FLOW

2009 ◽  
Vol 23 (03) ◽  
pp. 545-548 ◽  
Author(s):  
H. T. LOW ◽  
Y. SUI ◽  
Y. T. CHEW ◽  
P. ROY
Keyword(s):  
Shear Flow ◽  
Red Blood Cells ◽  
Blood Cells ◽  
Three Dimensional ◽  
Element Model ◽  
Immersed Boundary ◽  
Simple Shear Flow ◽  
Shear Rates ◽  
Transient Deformation ◽  
Tumbling Motion

The transient deformation of red blood cells (RBCs) in a shear flow is studied by a three-dimensional numerical model proposed by the present authors. The RBCs are approximated by ghost cells consisting of Newtonian liquid drops enclosed by Skalak membranes. The RBCs have an initially biconcave discoid resting shape, and the internal liquid is assumed to be the same to the fluid outside. The simulation is based on a hybrid method, in which the immersed boundary concept is introduced into the framework of the lattice Boltzmann method, and a finite element model is incorporated to obtain the forces acting on the nodes of the cell membrane which is discretized into flat triangular elements. The dynamic motion of RBCs is investigated in simple shear flow under a broad range of shear rates. At large shear rates, the present results show that the cells carry out a swinging motion, in which periodic inclination-oscillation and shape deformation superimpose on the membrane tank treading motion. With the shear rate decreasing, the swinging amplitude of the cell increases, and finally triggers a transition to tumbling motion.

scholarly journals A theoretical investigation of the frisbee motion of red blood cells in shear flow

2021 ◽  
Vol 16 ◽  
pp. 23
Author(s):  
Thierry Mignon ◽  
Simon Mendez
Keyword(s):  
Steady State ◽  
Shear Flow ◽  
Blood Cell ◽  
Red Blood Cells ◽  
Red Blood Cell ◽  
Blood Cells ◽  
Numerical Solutions ◽  
Shear Rates ◽  
Steady State Solutions ◽  
Low Shear

The dynamics of a single red blood cell in shear flow is a fluid–structure interaction problem that yields a tremendous richness of behaviors, as a function of the parameters of the problem. A low shear rates, the deformations of the red blood cell remain small and low-order models have been developed, predicting the orientation of the cell and the membrane circulation along time. They reproduce the dynamics observed in experiments and in simulations, but they do not simplify the problem enough to enable simple interpretations of the phenomena. In a process of exploring the red blood cell dynamics at low shear rates, an existing model constituted of 5 nonlinear ordinary differential equations is rewritten using quaternions to parametrize the rotations of the red blood cell. Techniques from algebraic geometry are then used to determine the steady-state solutions of the problems. These solutions are relevant to a particular regime where the red blood cell reaches a constant inclination angle, with its membrane rotating around it, and referred to as frisbee motion. Comparing the numerical solutions of the model to the steady-state solutions allows a better understanding of the transition between the most emblematic motions of red blood cells, flipping and tank-treading.

Role of Adhesion Molecules and Vascular Endothelium in the Pathogenesis of Sickle Cell Disease

Hematology ◽  
2007 ◽  
Vol 2007 (1) ◽  
pp. 84-90 ◽  
Author(s):  
Marilyn J. Telen
Keyword(s):  
Sickle Cell Disease ◽  
Red Blood Cells ◽  
Adhesion Molecules ◽  
Sickle Cell ◽  
Vascular Endothelium ◽  
Blood Cells ◽  
Cell Disease ◽  
Adhesive Interactions ◽  
Lines Of Evidence

AbstractA number of lines of evidence now support the hypothesis that vaso-occlusion and several of the sequelae of sickle cell disease (SCD) arise, at least in part, from adhesive interactions of sickle red blood cells, leukocytes, and the endothelium. Both experimental and genetic evidence provide support for the importance of these interactions. It is likely that future therapies for SCD might target one or more of these interactions.

scholarly journals Role of Calcium in Phosphatidylserine Externalisation in Red Blood Cells from Sickle Cell Patients

Anemia ◽  
2011 ◽  
Vol 2011 ◽  
pp. 1-8 ◽  
Author(s):  
Erwin Weiss ◽  
David Charles Rees ◽  
John Stanley Gibson
Keyword(s):  
Red Blood Cells ◽  
Sickle Cell ◽  
Blood Cells ◽  
Phosphatidylserine Exposure ◽  
Channel Inhibition ◽  
Cation Conductance ◽  
Gardos Channel ◽  
Cation Permeability

Phosphatidylserine exposure occurs in red blood cells (RBCs) from sickle cell disease (SCD) patients and is increased by deoxygenation. The mechanisms responsible remain unclear. RBCs from SCD patients also have elevated cation permeability, and, in particular, a deoxygenation-induced cation conductance which mediates entry, providing an obvious link with phosphatidylserine exposure. The role of was investigated using FITC-labelled annexin. Results confirmed high phosphatidylserine exposure in RBCs from SCD patients increasing upon deoxygenation. When deoxygenated, phosphatidylserine exposure was further elevated as extracellular [] was increased. This effect was inhibited by dipyridamole, intracellular chelation, and Gardos channel inhibition. Phosphatidylserine exposure was reduced in high saline. levels required to elicit phosphatidylserine exposure were in the low micromolar range. Findings are consistent with entry through the deoxygenation-induced pathway (), activating the Gardos channel. [] required for phosphatidylserine scrambling are in the range achievablein vivo.

The role of red blood cells in the progression and instability of atherosclerotic plaque

2010 ◽  
Vol 142 (1) ◽  
pp. 2-7 ◽  
Author(s):  
Dimitrios N. Tziakas ◽  
Georgios K. Chalikias ◽  
Dimitrios Stakos ◽  
Harisios Boudoulas
Keyword(s):  
Red Blood Cells ◽  
Atherosclerotic Plaque ◽  
Blood Cells
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