Viscoelasticity of the human red blood cell

We report here the first measurements of the complex modulus of the isolated red blood cell (RBC). Because the RBC is often larger than capillary diameter, important determinants of microcirculatory function are RBC deformability and its changes with pathologies, such as sickle cell disease and malaria. A functionalized ferrimagnetic microbead was attached to the membrane of healthy RBC and then subjected to an oscillatory magnetic field. The resulting torque caused cell deformation. From the oscillatory forcing and resulting bead motions, which were tracked optically, we computed elastic and frictional moduli, g' and g', respectively, from 0.1 to 100 Hz. The g' was nearly frequency independent and dominated the response at all but the highest frequencies measured. Over three frequency decades, g' increased as a power law with an exponent of 0.64, a result not predicted by any simple model. These data suggest that RBC relaxation times that have been reported previously, and any models that rest upon them, are artifactual; the artifact, we suggest, arises from forcing to an exponential fit data of limited temporal duration. A linear range of response was observed, but, as forcing amplitude increased, nonlinearities became clearly apparent. A finite element model suggests that membrane bending was localized to the vicinity of the bead and dominated membrane shear. While the mechanisms accounting for these RBC dynamics remain unclear, methods described here establish new avenues for the exploration of connections among the mechanical, chemical, and biological characteristics of the RBC in health and disease. storage modulus; loss modulus; magnetic twisting cytometry; erythrocyte; viscoelasticity; rheology     

Direct measurement of the area expansion and shear moduli of the human red blood cell membrane skeleton.

The area expansion and the shear moduli of the free spectrin skeleton, freshly extracted from the membrane of a human red blood cell (RBC), are measured by using optical tweezers micromanipulation. An RBC is trapped by three silica beads bound to its membrane. After extraction, the skeleton is deformed by applying calibrated forces to the beads. The area expansion modulus K(C) and shear modulus mu(C) of the two-dimensional spectrin network are inferred from the deformations measured as functions of the applied stress. In low hypotonic buffer (25 mOsm/kg), one finds K(C) = 4.8 +/- 2.7 microN/m, mu(C) = 2.4 +/- 0.7 microN/m, and K(C)/mu(C) = 1.9 +/- 1.0. In isotonic buffer, one measures higher values for K(C), mu(C), and K(C)/mu(C), partly because the skeleton collapses in a high-ionic-strength environment. Some data concerning the time evolution of the mechanical properties of the skeleton after extraction and the influence of ATP are also reported. In the Discussion, it is shown that the measured values are consistent with estimates deduced from experiments carried out on the intact membrane and agree with theoretical and numerical predictions concerning two-dimensional networks of entropic springs.     

Sodium movements in the human red blood cell

Measurements were made of the sodium outflux rate constant, ^o k _Na, and sodium influx rate constant, ⁱ k _Na, at varying concentrations of extracellular (Na_o) and intracellular (Na_c) sodium. ^o k _Na increases with increasing [Na_o] in the presence of extracellular potassium (K_o) and in solutions containing ouabain. In K-free solutions which do not contain ouabain, ^o k _Na falls as [Na_o] rises from 0 to 6 mM; above 6 mM, ^o k _Na increases with increasing [Na_o]. Part of the Na outflux which occurs in solutions free of Na and K disappears when the cells are starved or when the measurements are made in solutions containing ouabain. As [Na_o] increases from 0 to 6 mM, ⁱ k _Na decreases, suggesting that sites involved in the sodium influx are becoming saturated. As [Na_c] increases, ^o k _Na at first increases and then decreases; this relation between ^o k _Na and [Na_c] is found when the measurements are made in high Na, high K solutions; high Na, K-free solutions; and in (Na + K)-free solutions. The relation may be the consequence of the requirement that more than one Na ion must react with the transport mechanism at the inner surface of the membrane before transport occurs. Further evidence has been obtained that the ouabain-inhibited Na outflux and Na influx in K-free solutions represent an exchange of Na_c for Na_o via the Na-K pump mechanism.     

Folding of red blood cells in capillaries and narrow pores.

The geometric features of red blood cells in narrow channels in vivo and in vitro were studied by electron microscopy. In rabbit myocardial capillaries about half of the red cells were folded. In polycarbonate filters with pore diameters of 2.2-4.5 microns approximately one third of the trapped red blood cells were folded. The frequency of folding did not depend on the applied pressure, which ranged from 0.1 to 8.0 cm H2O. The folding of the red blood cells in filter pores was used to estimate the bending stiffness of the membrane. An analysis based on the large deformation theory of bending of an elastic sheet was developed. Using pressures of 0.2 and 1.0 cm H2O, the bending stiffness of human red cell membranes was estimated to be approximately 2.4 - 11.6 x 10(-12) dyn-cm, which is in good agreement with other methods. A limiting radius of curvature of about 85 nm was found at higher pressures.     

Elasticity of the human red blood cell skeleton

We have measured by optical tweezers micromanipulations the area expansion and the shear moduli of spectrin skeletons freshly extracted from human red blood cells, in different controlled salinity conditions. At medium osmolarity (150 mOsm/kg), we measure KC=9.7+/-3.4 microN/m, muC=5.7+/-2.3 microN/m, KC/muC=2.1+/-0.7. When decreasing the osmolarity, both KC and muC decrease, while KC/muC is nearly constant and equal to about 2. This result is consistent with the predictions made when modeling the spectrin skeleton by a two-dimensional triangular lattice of springs. From the measured elastic moduli we estimate the persistence length of a spectrin filament: xi approximately 2.5 nm at 150 mOsm/kg.     

Motion of nonaxisymmetric red blood cells in cylindrical capillaries

We analyze theoretically the single-file flow of asymmetric red blood cells along cylindrical capillaries. Red cells in narrow capillaries are typically nonaxisymmetric, with the cell membrane moving continuously around the cell. In our analysis, cell shape and streamlines of membrane motion are prescribed. Lubrication theory is used to compute velocities and pressures in the fluid surrounding the cell. Conditions of zero lift, zero torque, zero drag, and energy conservation in the cell are imposed. Predicted tank-treading frequency, cell inclination and transverse displacement are small. Cell asymmetry and tank-treading are found to have little effect on the apparent viscosity of blood in capillaries with diameters up to 7 microns.     

Permeability of the human red blood cell tomeso-erythritol

Summary Using¹⁴C-erythritol, we measured net as well as unidirectional erythritol fluxes. Up to near saturation, net and unidirectional fluxes were virtually identical and linearly related to the erythritol concentration in the medium (isotonic saline). No saturation of the transfer system was observed. At 20°C, a maximum of 60 to 70% of the erythritol flux could be inhibited by glucose, phlorizin, or a combination of both substances. Dinitrofluorobenzene and HgCl₂ also reduce erythritol permeability. These findings confirm the earlier conclusion of F. Bowyer and W. F. Widdas that the glucose transport system is involved in erythritol permeation. Glycerol partially inhibits the glucose-phlorizin-sensitive component of erythritol flux, but not the glucose-phlorizin-insensitive component. Apparently glycerol has a slight affinity to that portion of the glucose transport system which is involved in erythritol transfer, whereas the glucosephlorizin-insensitive fraction of erythritol movements is not identical with the glycerol system. This latter inference is supported by the observation that, in contrast to glycerol permeability, erythritol permeability is insensitive to variations of pH or to the addition of copper. The apparent activation energy of the glucose-phlorizin-sensitive and-insensitive fractions of erythritol permeation are 22.2 and 20.7 kcal/mole, respectively. These values are not significantly different from one another.     

Membrane rafts of the human red blood cell

The cell type of election for the study of cell membranes, the mammalian non-nucleated erythrocyte, has been scarcely considered in the research of membrane rafts of the plasma membrane. However, detergent-resistant-membranes (DRM) were actually first described in human erythrocytes, as a fraction resisting solubilization by the nonionic detergent Triton X-100. These DRMs were insoluble entities of high density, easily pelleted by centrifugation, as opposed to the now accepted concept of lipid raft-like membrane fractions as material floating in low-density regions of sucrose gradients. The present article reviews the available literature on membrane rafts/DRMs in human erythrocytes from an historical point of view, describing the experiments that provided the solution to the above described discrepancy and suggesting possible avenue of research in the field of membrane rafts that, moving from the most studied model of living cell membrane, the erythrocyte’s, could be relevant also for other cell types.     

On the energy dissipation in a tank-treading human red blood cell.

The energy dissipation in the membrane (ED mem) and in the cytoplasm (ED cyt) of tank-treading human red blood cells is estimated. The tank-tread motion of the membrane occurs when the cells in a sheared suspension assume a steady-state of orientation (Fischer et al., 1978, Science [Wash. D. C.], 202:894). The kinematic data used are from red cells suspended either in a dextran-saline solution at a low hematocrit, or in plasma at a hematocrit of 45%. The viscosities of the cytoplasm and the membrane are taken from the literature. The cell in dextran was subjected to seven different shear rates. Both ED mem and ED cyt showed a strong increase with shear rate. Their ratio, however, was always of the order of 1. From this value and the value which was given by Hochmuth et al. (1979, Biophys. J., 26:101) for a shape recovery of a red cell, it is concluded that the range of ED mem/ED cyt for all possible geometries is 1-100.     

Axisymmetric optical-trap measurement of red blood cell membrane elasticity

The elastic properties of the cell membrane play a crucial role in determining the equilibrium shape of the cell, as well as its response to the external forces it experiences in its physiological environment. Red blood cells are a favored system for studying membrane properties because of their simple structure: a lipid bilayer coupled to a membrane cytoskeleton and no cytoplasmic cytoskeleton. An optical trap is used to stretch a red blood cell, fixed to a glass surface, along its symmetry axis by pulling on a micron-sized latex bead that is bound at the center of the exposed cell dimple. The system, at equilibrium, shows Hookean behavior with a spring constant of 1.5×10(-6)?N/m over a 1-2 μm range of extension. This choice of simple experimental geometry preserves the axial symmetry of the native cell throughout the stretch, probes membrane deformations in the small-extension regime, and facilitates theoretical analysis. The axisymmetry makes the experiment amenable to simulation using a simple model that makes no a priori assumption on the relative importance of shear and bending in membrane deformations. We use an iterative relaxation algorithm to solve for the geometrical configuration of the membrane at mechanical equilibrium for a range of applied forces. We obtain estimates for the out-of-plane membrane bending modulus B≈1×10(-19)?Nm and an upper limit to the in-plane shear modulus H<2×10(-6)?N/m. The partial agreement of these results with other published values may serve to highlight the dependence of the cell's resistance to deformation on the scale and geometry of the deformation.     

Kinetic characteristics of the sulfate self-exchange in human red blood cells and red blood cell ghosts

Summary The sulfate and the chloride self-exchange fluxes were determined by measuring the rate of the tracer efflux from radioactively labeled human red blood cells and red blood cell ghosts. The concentration dependence and the pH-dependence of the sulfate self-exchange flux were studied. In addition, the effects of some monovalent and divalent anions on the sulfate and the chloride self-exchange fluxes were investigated.The sulfate self-exchange fluxes saturate, exhibiting a concentration maximum at sulfate concentrations between 100 and 300mm (25°C). The position of the concentration maximum depends upon pH. At high sulfate concentrations a self-inhibition of the flux becomes apparent. The apparent half-saturation constant and the apparent self-inhibition constant at pH 7.2 were 30mm and 400mm respectively. Within the pH range of 6.3–8.5, both constants decreased with increasing pH. No saturation of the sulfate self-exchange flux was observed if the sulfate concentration was raised by substituting sulfate for isoosmotic amounts of a second salt (NaCl, NaNO₃, Na-acetate, Na-lactate, Na-succinate or Na₂HPO₄). Red blood cells and red blood cell ghosts display the same pattern of concentration responsiveness.The sulfate self-exchange flux exhibits a pH-maximum at about pH 6.2 (37°C). The location of the pH-maximum is little affected by variations of the sulfate concentration. The logarithmic plots (log vs. pH) revealed that the flux/pH relation can be approximated by two straight lines. The slopes of the alkaline branches of the flux/pH curves range from –0.55 to –0.86, the slopes of the branches of the curves range from 0.08 to 1.14 and were strongly affected by changes of the sulfate concentrations. The apparent pK's obtained from the alkaline and from the acidic branches of the flux/pH curves were about 7.0 and 6.0, respectively. Intact red blood cells and red blood cell ghosts display the same type of pH-dependency of the sulfate self-exchange flux.The sulfate self-exchange flux is competitively inhibited by nitrate, chloride, acetate, oxalate and phosphate. The chloride self-exchange flux is competitively inhibited by thiocyanate, nitrate, sulfate and phosphate. The inhibition constants for the various anion species increase in the given sequence.The results of our studies indicate that the sulfate self-exchange flux is mediated by a two-site transport mechanism consisting either of a mobile carrier or a two-site pore. The experiments reported in this paper do not permit distinguishing between both transport mechanisms. The similarities of the sulfate and the chloride self-exchange flux and the mutual competition between sulfate and chloride point to a common transport system for both anion species.     

Formation of the aldehydic choline glycerophospholipids in human red blood cell membrane peroxidized with an azo initiator.

The production of phospholipid hydroperoxide and aldehydic phospholipid was examined in human red blood cell (RBC) membranes after peroxidation with 2,2-azobis(2-amidinopropane)dihydrochloride (AAPH) or xanthine/xanthine oxidase (XO/XOD/Fe3+). Both radical-generation systems caused a profound decrease in the amount of polyunsaturated fatty acid (PUFA) in choline glycerophospholipid (CGP) and induced formation of peroxidized CGP in RBC membranes to different extents. No consistent generation of peroxidized lipids from CGP was evident after peroxidation with XO/XOD/Fe3+, which caused the apparent decomposition of phospholipids and the formation of large amounts of thiobarbituric acid-reactive substance (TBARS). On the other hand, CGP hydroperoxide was formed as a primary product of peroxidation with AAPH. Aldehydic CGP was also detected as a secondary product of hydroperoxide decomposition in AAPH-peroxidized RBC membranes. Aldehydic CGP was preferentially generated from arachidonoyl CGP rather than from linoleoyl CGP in AAPH-peroxidized membranes. AAPH mainly oxidized CGP to hydroperoxide and aldehydic phospholipids. The sum of hydroperoxide and aldehyde of CGP corresponded to the loss of CGP due to peroxidation by AAPH. This result indicates that CGP was mainly converted into these two oxidized phospholipids in AAPH-peroxidized RBC membranes.     

Deep coverage mouse red blood cell proteome: a first comparison with the human red blood cell

Mice have close genetic/physiological relationships to humans, breed rapidly, and can be genetically modified, making them the most used mammal in biomedical research. Because the red blood cell (RBC) is the sole gas transporter in vertebrates, diseases of the RBC are frequently severe; much research has therefore focused on RBC and cardiovascular disorders of mouse and humans. RBCs also host malaria parasites. Recently we presented an in-depth proteome for the human RBC. Here we present directly comparable data for the mouse RBC as membrane-only, soluble-only, and combined membrane-bound/soluble proteomes (comprising, respectively, 247, 232, and 165 proteins). All proteins were identified, validated, and categorized in terms of subcellular localization, protein family, and function, and in comparison with the human RBC, were classified as orthologs, family-related, or unique. Splice isoforms were identified, and polypeptides migrating with anomalous apparent molecular weights were grouped into putatively ubiquitinated or partially degraded complexes. Overall there was close concordance between mouse and human proteomes, confirming the unexpected RBC complexity. Several novel findings in the human proteome have been confirmed here. This comparison sheds light on several open issues in RBC biology and provides a departure point for more comprehensive understanding of RBC function.     

Nitric oxide influences red blood cell velocity independently of changes in the vascular tone

Abstract

Nitric oxide (NO) plays a key role in regulation of vascular tone and blood flow. In the microcirculation blood flow is strongly dependent on red blood cells (RBC) deformability. In vitro NO increases RBC deformability. This study hypothesized that NO increases RBC velocity in vivo not only by regulating vascular tone, but also by modifying RBC deformability. The effects of NO on RBC velocity were analysed by intra-vital microscopy in the microcirculation of the chorioallantoic membrane (CAM) of the avian embryo at day 7 post-fertilization, when all vessels lack smooth muscle cells and vascular tone is not affected by NO. It was found that inhibition of enzymatic NO synthesis and NO scavenging decreased intracellular NO levels and avian RBC deformability in vitro. Injection of a NO synthase-inhibitor or a NO scavenger into the microcirculation of the CAM decreased capillary RBC velocity and deformation, while the diameter of the vessels remained constant. The results indicate that scavenging of NO and inhibition of NO synthesis decrease RBC velocity not only by regulating vascular tone but also by decreasing RBC deformability.