Elastic area compressibility modulus of red cell membrane.

Micropipette measurements of isotropic tension vs. area expansion in pre-swollen single human red cells gave a value of 288 +/- 50 SD dyn/cm for the elastic, area compressibility modulus of the total membrane at 25 degrees C. This elastic constant, characterizing the resistance to area expansion or compression, is about 4 X 10(4) times greater than the elastic modulus for shear rigidity; therefore, in situations where deformation of the membrane does not require large isotropic tensions (e.g., in passage through normal capillaries), the membrane can be treated by a simple constitutive relation for a two-dimensionally, incompressible material (i.e. fixed area). The tension was found to be linear and reversible for the range of area changes observed (within the experimental system resolution of 10%). The maximum fractional area expansion required to produce lysis was uniformly distributed between 2 and 4% with 3% average and 0.7% SD. By heating the cells to 50 degrees C, it appears that the structural matrix (responsible for the shear rigidity and most of the strength in isotropic tension) is disrupted and primarily the lipid bilayer resists lysis. Therefore, the relative contributions of the structural matrix and lipid bilayer to the elastic, area compressibility could be estimated. The maximum isotropic tension at 25 degrees C is 10-12 dyn/cm and at 50 degrees C is between 3 and 4 dyn/cm. From this data, the respective compressibilities are estimated at 193 dyn/cm and 95 dyn/cm for structural network and bilayer. The latter value correlates well with data on in vitro, monolayer surface pressure versus area curves at oil-water interfaces.     

Elastic properties of the red blood cell membrane that determine echinocyte deformability

The natural biconcave shape of red blood cells (RBC) may be altered by injury or environmental conditions into a spiculated form (echinocyte). An analysis is presented of the effect of such a transformation on the resistance of RBC to entry into capillary sized cylindrical tubes. The analysis accounts for the elasticity of the membrane skeleton in dilation and shear, and the local and nonlocal resistance of the bilayer to bending, the latter corresponding to different area strains in the two leaflets of the bilayer. The shape transformation is assumed to be driven by the equilibrium area difference (A₀, the difference between the equilibrium areas of the bilayer leaflets), which also affects the energy of deformation. The cell shape is approximated by a parametric model. Shape parameters, skeleton shear deformation, and the skeleton density of deformed membrane relative to the skeleton density of undeformed membrane are obtained by minimization of the corresponding thermodynamic potential. Experimentally, A₀ is modified and the corresponding discocyte–echinocyte shape transition obtained by high-pressure aspiration into a narrow pipette, and the deformability of the resulting echinocyte is examined by whole cell aspiration into a larger pipette. We conclude that the deformability of the echinocyte can be accounted for by the mechanical behavior of the normal RBC membrane, where the equilibrium area difference A₀ is modified.     

Elastic energy of curvature-driven bump formation on red blood cell membrane.

Model calculations were performed to explore quantitative aspects of the discocyte-echinocyte shape transformation in red blood cells. The shape transformation was assumed to be driven by changes in the preferred curvature of the membrane bilayer and opposed by the elastic shear rigidity of the membrane skeleton. The energy required for echinocyte bump formation was calculated for a range of bump shapes for different preferred curvatures. Energy minima corresponding to nonzero bump heights were found when the stress-free area difference between the membrane leaflets or the spontaneous curvature of the membrane became sufficiently large, but the calculations predict that the membrane can tolerate significant differences in the resting areas of the inner and outer leaflets or significant spontaneous curvature without visible changes in shape. Thus, if the cell is near the threshold for bump formation, the calculations predict that small changes in membrane properties would produce large changes in cellular geometry. These results provide a rational framework for interpreting observations of shape transformations in red cells and for understanding the mechanism by which small changes in membrane elastic properties might lead to significant changes in geometry.     

Modelling the structure of the red cell membrane

The red cell membrane has long been the focus of extensive study. The macromolecules embedded within the membrane carry the blood group antigens and perform many functions including the vital task of gas exchange. Links between the intramembrane macromolecules and the underlying cytoskeleton stabilize the biconcave morphology of the red cell and allow deformation during microvascular transit. Much is now known about the proteins of the red cell membrane and how they are organised. In many cases we have an understanding of which proteins are expressed, the number of each protein per cell, their oligomeric state(s), and how they are collected in large multi-protein complexes. However, our typical view of these structures is as cartoon shapes in schematic figures. In this study we have combined knowledge of the red cell membrane with a wealth of protein structure data from crystallography, NMR, and homology modelling to generate the first, tentative models of the complexes which link the membrane to the cytoskeleton. Measurement of the size of these complexes and comparison with known cytoskeletal distance parameters suggests the idea of interaction between the membrane complexes, which may have profound implications for understanding red cell function and deformation.     

Haemoglobin and the red cell membrane.

The results presented here indicate that haemoglobin is an integral part of the red cell membrane. The haemoglobin content of the membrane is highly dependent on the Ca++ content of the membrane in health and disease. Changes in the red cell interior alter the whole organization of the membrane and are even reflected in the binding of immunoglobulins to the red cell surface. The preferential binding of Hb-s A2 and S to the membrane has been confirmed. This phenomenon cannot be explained by differences in the charge between these haemoglobins and Hb A.     

Cholesterol oxidase susceptibility of the red cell membrane

We have used the highly variable and conditional susceptibility of cholesterol oxidase to probe molecular rearrangements in the human red cell membrane. Cholesterol in the intact erythrocyte normally is not a substrate for this enzyme. Susceptibility was induced however, by these pretreatments: mild enrichment in membrane cholesterol, exposure to greater than or equal to 0.03% (3 mM) glutaraldehyde and warming in dilute salt solutions (mu approx. 0.001). Cholesterol reactivity in dilute salt solutions emerged only following a lag of 30 min or more. The lag time was shortened by raising the temperature, by reducing the salt concentration or by treating with glutaraldehyde. The induced sensitivity to the enzyme was inhibited by restoring physiologic ionic strength or by introducing 0.1 mol lysophosphatidylcholine per mol cholesterol into the membrane. (In striking contrast, lysophosphatidylethanolamine and lysophosphatidylserine did not inhibit oxidation). The various effectors of cholesterol oxidase sensitivity strongly influenced the impact of the others, suggesting that each shifted cholesterol toward or away from an enzyme-sensitive disposition. None of these effects was observed in pure cholesterol or red cell membrane lipids dissolved in detergent, which were uniformly highly reactive with the enzyme. We conclude that the observed variation in cholesterol oxidase sensitivity reflects changes in the organization of the bilayer, perhaps a lateral redistribution of lipids which creates cholesterol-rich phases or domains in which cholesterol is more or less accessible to the enzyme. If so, the time-dependent increase in cholesterol susceptibility during warming at low ionic strength might be a novel indicator of the kinetics of phase changes in the bilayer of the red cell.     

Chloride conductance of the Amphiuma red cell membrane

Summary Like most other red cells, the giant erythrocytes ofAmphiuma means possess a system for rapid exchange of chloride across the membrane. Also, there are indications that the net transport of chloride in these cells is slow. The size ofAmphiuma erythrocytes allows direct measurements of membrane potential with microelectrodes. The present work exploits the possibility that such measurements can be used to give a quantitative estimate of the chloride conductance (G _Cl) of the Amphiuma red cell membrane. The membrane potential was measured as a function of extracellular chloride concentration (5–120mM), using an impermeant anion (Para-amino-hippurate) as a substitute. Furthermore, the effect of different pH values (6.0–7.2) was studied. For each extracellular chloride concentration the membrane potential was determined at a pH at which hydroxyl, hydrogen, and bicarbonate ions were in electrochemical equilibrium. From these membrane potentials and the corresponding chloride concentrations in the medium (at constant intracellular ion concentrations), theG _Cl of the membrane was calculated to be 3.9×10^–7 {ie27-1} cm^–2. This value is some six orders of magnitude smaller than that calculated from the rate of tracer exchange under equilibrium conditions. The experimental strategy used gives the value for a partial transference number which takes into account only ions which arenot in electrochemical equilibrium. Whereas this approach gives a value forG _Cl, it does not permit calculation of the overall membrane conductance. From the calculated value ofG _Cl it is possible to estimate that the maximal value of the combined conductances of hydroxyl (or proton) and bicarbonate ions is 0.6×10^–7 {ie27-2} cm^–2. The large discrepancy between the rate of exchange of chloride and its conductance is in agreement with measurements on human and sheep red cells employing the ionophore valinomycin to increase the potassium conductance of the membrane. The results in the present study were, however, obtained without valinomycin and an accompanying assumption of a constant field in the membrane. Therefore, the present measurements give independent support to the above mentioned conclusions.     

Water-soluble proteins of the human red cell membrane

Summary Procedures were developed for preparation of red cell membranes almost free of hemoglobin but with minimal loss of membrane proteins. Two water-soluble protein fractions are described, each constituting about 25% of the ghost protein. The first is ionically bonded and can be solubilized in water rapidly at pH 7.0 and more slowly at higher ionic strength solutions, with a minimal rate at 20mm. This fraction contains four major components with molecular weights ranging from 30,000 to 48,000. The second fraction can only be solubilized at an appreciable rate if Ca⁺⁺ is absent and at higher pH (9.0). It is predominantly a single molecular weight component (150,000). It tends to aggregate at higher ionic strength and in the presence of Ca⁺⁺. Evidence is presented suggesting that the water-soluble proteins are present at the inner face of the membrane. The lipids remain in a water-insoluble residue that contains four major protein components ranging in molecular weight from 30,000 to 100,000. The latter is the predominant component. Only the residue contains the Na⁺–K⁺-activated ATPase, the cholinesterase, antigenic activity and most of the sialic acid and carbohydrate. The first water-soluble fraction contains a Mg⁺⁺-activated ATPase. The extraction of the water-soluble proteins is accompanied by anatomical changes resulting finally in the formation of small membranous vesicles.     

Hereditary disorders of the red cell membrane skeleton

The hereditary hemolytic anemias include a heterogeneous class of disorders caused by defects in the proteins that constitute the membrane skeleton of the red blood cell. The combination of classical and molecular genetics together with clinical findings is rapidly improving our understanding of the basis of these defects.     

Topology of amino-phospholipids in the red cell membrane

The red cell membrane has an asymmetric arrangement of phospholipids. The amino-phospholipids are localized primarily on the inner surface of the membrane and the choline phospholipids are localized to a large extent on the outer surface of the membrane. Evidence is presented based on the use of covalent chemical probes in sequence that the red cell membrane contains heterogeneous domains of PE and PS and that the transport systems for Pi and K⁺ are asymmetrically arranged. Certain amino groups of PE, PS, and/or protein localized on the outer membrane surface are involved in Pi transport and certain amino groups of PE, PS, and/or protein localized on the inner surface of the membrane are involved in K⁺ transport. Cross-linking studies with DFDNB show that the cross-linked PE-PE molecules are rich in plasmalogens. This suggests that clusters of plasmalogen forms of PE occur in the membrane. Both PE and PS are cross-linked to membrane protein. These PE and PS molecules contain 24–28% 16:0 and 18:0 fatty acids and 12% fatty aldehydes. PE and PS molecules are cross-linked to a spectrin-rich fraction. It is proposed that the binding of spectrin to membrane PE and PS may help anchor spectrin to the inner surface of the membrane and regulate shape changes in the cell. K⁺-valinomycin forms a complex with TNBS and converts it from a non-penetrating proble to a penetrating probe. Valinomycin enhances K⁺ leak and Pi leak in the red cells. SITS inhibits completely the valinomycin-induced Pi leak and inhibits partially the valinomycin induced K⁺ leak. Valinomycin and IAA have additive effects on Pi leak. Ouabin has no effect on basal or valino-mycin-induced Pi leak. These data suggest that Pi leak and K⁺ leak occur by separate transport systems. In summary, the amino-phospholipids in the red cell membrane are asymmetrically arranged; some occur in clusters and some are closely associated with membrane proteins. Amino-phospholipids also are believed to bind spectrin to the inner surface of the membrane and also may play a role in cation and anion leak.     

Interactions among red cell membrane proteins

Interactions between human red band 2.1 with spectrin and depleted inside-out vesicles were studied by fluorescence resonance energy transfer and batch microcalorimetry. The band 2.1-spectrin binding isotherm is consistent with a one to one mole ratio. The association constant of 1.4 X 10(8) M-1 corresponds to the association free energy of -11.1 kcal/mol. Under our experimental conditions, the enthalpy of interaction of band 2.1-spectrin was found to be -10.8 kcal/mol and is independent of the protein mole ratio. The calculated entropic factor (-T delta S = 0.3 kcal/mol) strongly suggests a predominantly enthalpic character of the reaction. In addition, we investigated the role of band 2.1 on the binding of band 4.1 to spectrin [Podgorski, A., & Elbaum, D. (1985) Biochemistry 24, 7871-7876] and concluded that only small, if any, alterations of binding of band 4.1 to spectrin have taken place in the presence or absence of band 2.1. This suggests thermodynamic independence of the binding sites. Although the attachment of the cytoskeletal network to the membrane takes place through, at least, two different interactions, band 2.1-band 3 and 4.1-glycophorin, the relative enthalpy values suggest that band 2.1 contributes significantly more than band 4.1 to the energy of the interaction. In addition, we observed that polymerization of actin is modulated by the cytoskeletons as judged by their effect on the rate of actin polymerization.     

Thermoelasticity of red blood cell membrane.

The elastic properties of the human red blood cell membrane have been measured as functions of temperature. The area compressibility modulus and the elastic shear modulus, which together characterize the surface elastic behavior of the membrane, have been measured over the temperature range of 2-50 degrees C with micropipette aspiration of flaccid and osmotically swollen red cells. In addition, the fractional increase in membrane surface area from 2-50 degrees C has been measured to give a value for the thermal area expansivity. The value of the elastic shear modulus at 25 degrees C was measured to be 6.6 X 10(-3) dyne/cm. The change in the elastic shear modulus with temperature was -6 X 10(-5) dyne/cm degrees C. Fractional forces were shown to be only on the order of 10-15%. The area compressibility modulus at 25 degrees C was measured to be 450 dyne/cm. The change in the area compressibility modulus with temperature was -6 dyne/cm degrees C. The thermal area expansivity for red cell membrane was measured to be 1.2 X 10(-3)/degrees C. With this data and thermoelastic relations the heat of expansion is determined to be 110-200 ergs/cm2; the heat of extension is 2 X 10(-2) ergs/cm2 for unit extension of the red cell membrane. The heat of expansion is of the order anticipated for a lipid bilayer idealized as twice the behavior of a monolayer at an oil-water interface. The observation that the heat of extension is positive demonstrates that the entropy of the material increases with extension, and that the dominant mechanism of elastic energy storage is energetic. Assuming that the red cell membrane shear rigidity is associated with "spectrin," unit extension of the membrane increases the configurational entropy of spectrin by 500 cal/mol.     

A solid-liquid composite model of the red cell membrane

Summary Direct mechanical experiments and analyses support the view that the red cell membrane is a composite with a solid structural matrix, which can behave as either a viscoelastic or viscoplastic material.     

Transcellular cross bonding of the red blood cell membrane

When red blood cells are osmotically shrunk, opposing regions of the inner membrane surface touch each other in the dimple area. In normal red cells such a mechanical contact is undone by reswelling the cells. When the cells are treated with the SH reagents diamide or N-ethylmaleimide, or simply heated to temperatures between 42 and 48 degrees C such a mechanical contact can be made permanent by a process termed 'membrane cross bonding'. Cross bonding also occurred when the cells were treated before mechanical contact was established. The bridge between the two cross-bonded membrane regions may be assumed to be formed by membrane skeletal material. Membrane bridges become visible microscopically when the cells are swollen. These bridges are strong enough to resist the membrane tensions occurring at osmotic lysis. Bridged red cells can be a useful tool in rheology, since they are deformable but cannot adapt to shear flows by membrane tank treading.     

Cross bonding and stiffening of the red cell membrane

Cross bonding and stiffening of the human red cell membrane was studied using treatments with SH, amino, and carboxyl reagents, oxidizing and denaturing treatments and acidification. Membrane cross bonding was initiated when, after red cell treatment, opposite areas of the cytoplasmic face of the red cell membrane were brought into contact by cell shrinking. Membrane cross bonding was detected by light microscopy when this contact persisted upon swelling the cells in a hypotonic medium. Membrane stiffening was recorded as a decrease in elongation of red cells in the shear field of a viscous dextran solution. No correlation was found between membrane cross bonding and membrane stiffening. The results are explained by the existence of two modifications of spectrin, type I causing solely membrane stiffening, type II causing membrane cross bonding as well as membrane stiffening. The amino and carboxyl reagents caused only type I modification. The other treatments caused both types of modification although with varying proportions. The results support the previously suggested mechanism of membrane cross bonding which involves a rearrangement of spectrin similar to denaturation by heat or urea, a decrease in associations within the membrane skeletal network, and a lateral aggregation of membrane proteins. These changes are proposed to occur by the type II modification. The data further substantiate the membrane stiffening effect of inter- and intra-molecular cross linking of spectrin which is identified with the type I modification. Finally, hypotheses are presented concerning the mechanism of membrane stiffening due to type II modifications of spectrin.