TRICONCAVE SOLUTION TO THE HELFRICH VARIATION PROBLEM FOR THE SHAPE OF LIPID BILAYER VESICLES IS FOUND BY "SURFACE EVOLVER"

2002 ◽  
Vol 16 (03) ◽  
pp. 511-517 ◽  
Author(s):  
YONG ZHANG ◽  
XIN ZHOU ◽  
JIANJUN ZHOU ◽  
ZHONG-CAN OU-YANG
Keyword(s):  
Blood Cell ◽  
Lipid Bilayer ◽  
Red Blood Cell ◽  
Physical Parameters ◽  
Spontaneous Curvature ◽  
Fresh Blood ◽  
Surface Evolver ◽  
Variation Problem ◽  
Lipid Bilayer Vesicles

We numerically show the existence of triconcave Red Blood Cell (RBC) according to Helfrich spontaneous curvature model. It suggests that the Helfrich spontaneous curvature model can well work in the case of non-axisymmetric vesicle. Some geometric and physical parameters are obtained to describe the triconcave RBC which has been observed in fresh blood under the circumstance of certain hemolytic anemias. Comparing with the normal RBC, we find that the differences between the interior and the exterior of the triconcave RBC are smaller than that of the normal RBC.

Red blood cell processing for cryopreservation: from fresh blood to deglycerolization

2012 ◽  
Vol 48 (4) ◽  
pp. 226-232 ◽  
Author(s):  
Valeria Pallotta ◽  
Gian Maria D'Amici ◽  
Angelo D'Alessandro ◽  
Roberto Rossetti ◽  
Lello Zolla
Keyword(s):  
Blood Cell ◽  
Red Blood Cell ◽  
Fresh Blood ◽  
Cell Processing

Constitutive Modeling of the Finite Deformation Behavior of Membranes Possessing a Triangulated Network Microstructure

2005 ◽  
Vol 73 (4) ◽  
pp. 536-543 ◽  
Author(s):  
M. Arslan ◽  
M. C. Boyce
Keyword(s):  
Blood Cell ◽  
Mechanical Behavior ◽  
Lipid Bilayer ◽  
Red Blood Cell ◽  
Finite Deformation ◽  
Constitutive Modeling ◽  
Strain Energy ◽  
Shear Loading ◽  
Stress Strain ◽  
Spectrin Network

The mechanical behavior of the membrane of the red blood cell is governed by two primary microstructural features: the lipid bilayer and the underlying spectrin network. The lipid bilayer is analogous to a two-dimensional fluid in that it resists changes to its surface area, yet poses little resistance to shear. A skeletal network of spectrin molecules is cross-linked to the lipid bilayer and provides the shear stiffness of the membrane. Here, a general continuum level constitutive model of the large stretch behavior of the red blood cell membrane that directly incorporates the microstructure of the spectrin network is developed. The triangulated structure of the spectrin network is used to identify a representative volume element (RVE) for the model. A strain energy density function is constructed using the RVE together with various representations of the underlying molecular chain force-extension behaviors where the chain extensions are kinematically determined by the macroscopic deformation gradient. Expressions for the nonlinear finite deformation stress-strain behavior of the membrane are obtained by proper differentiation of the strain energy function. The stress-strain behaviors of the membrane when subjected to tensile and simple shear loading in different directions are obtained, demonstrating the capabilities of the proposed microstructurally detailed constitutive modeling approach in capturing the small to large strain nonlinear, anisotropic mechanical behavior. The sources of nonlinearity and evolving anisotropy are delineated by simultaneous monitoring of the evolution in microstructure including chain extensions, forces and orientations as a function of macroscopic stretch. The model captures the effect of pretension on the mechanical response where pretension is found to increase the initial modulus and decrease the limiting extensibility of the networked membrane.

Constitutive Modeling of the Stress-Stretch Behavior of Membranes Possessing a Triangulated Network Microstructure

2005 ◽  
Vol 874 ◽  
Author(s):  
Melis Arslan ◽  
Mary C. Boyce
Keyword(s):  
Energy Density ◽  
Blood Cell ◽  
Mechanical Behavior ◽  
Lipid Bilayer ◽  
Red Blood Cell ◽  
Constitutive Modeling ◽  
Strain Energy Density ◽  
Strain Energy ◽  
Strain Energy Density Function ◽  
Spectrin Network

AbstractThe mechanical behavior of the membrane of the red blood cell is governed by two primary microstructural features: the lipid bilayer and the underlying spectrin network. The lipid bilayer is analogous to a 2D fluid in that it resists changes to its planar area, yet poses little resistance to planar shear. A skeletal network of spectrin molecules is crosslinked to the lipid bilayer and provides the shear stiffness of the membrane. Here, a continuum level constitutive model of the large stretch behavior of the red blood cell membrane that directly incorporates the microstructure of the spectrin network is developed. The resemblance of the spectrin network to a triangulated network is used to identify a representative volume element (RVE) for the model. A strain energy density function in terms of an arbitrary planar deformation field is proposed using the RVE. Differentiation of the strain energy density function provides expressions for the general multiaxial stress-stretch behavior of the material. The stress-strain behavior of the membrane when subjected to uniaxial loading conditions in different directions is given, showing the capabilities of the proposed microstructurally-detailed constitutive modeling approach in capturing the evolving anisotropic nature of the mechanical behavior.

Deformation and internal stress in a red blood cell as it is driven through a slit by an incoming flow

Soft Matter ◽  
2016 ◽  
Vol 12 (13) ◽  
pp. 3156-3164 ◽  
Author(s):  
Sara Salehyar ◽  
Qiang Zhu
Keyword(s):  
Blood Cell ◽  
Internal Stress ◽  
Lipid Bilayer ◽  
Red Blood Cell ◽  
Incoming Flow

As a RBC passes through a slit, large dissociation stress may develop between its lipid bilayer and the cytoskeleton.

DETERMINATION OF SPONTANEOUS CURVATURE AND INTERNAL PRESSURE OF VESICLES AND RED CELLS BY THEIR SHAPE AND THE FLEXOELECTRIC EFFECT OF MEMBRANE

1992 ◽  
Vol 06 (25) ◽  
pp. 1577-1582 ◽  
Author(s):  
OU-YANG ZHONG-CAN ◽  
HU JIAN-GUO ◽  
LIU JI-XING
Keyword(s):  
Membrane Potential ◽  
Liquid Crystals ◽  
Blood Cell ◽  
Internal Pressure ◽  
Red Blood Cell ◽  
Spontaneous Curvature ◽  
Flexoelectric Effect ◽  
Vesicle Shape ◽  
Good Agreement

Three geometric relations for vesicle equilibrium within the Helfrich elasticity model have been derived. The relations can serve to determine the spontaneous curvature c0 and cell internal pressure −Δp=pin−pext from the vesicle shape. In analogy with the theory of the flexoelectric effect of nematic liquid crystals we have also obtained a relation between c0 and the membrane potential. By applying these predictions to the human red blood cell (RBC) shape measured by Evans and Fung we found good agreement of the calculated potential with measured values previously given by other biologists by direct impaling RBC with a microelectrode. The calculated value of the internal pressure is discussed by comparison with previous works.

scholarly journals Lipid bilayer and cytoskeletal interactions in a red blood cell

2013 ◽  
Vol 110 (33) ◽  
pp. 13356-13361 ◽  
Author(s):  
Z. Peng ◽  
X. Li ◽  
I. V. Pivkin ◽  
M. Dao ◽  
G. E. Karniadakis ◽  
...  
Keyword(s):  
Blood Cell ◽  
Lipid Bilayer ◽  
Red Blood Cell
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