Length distributions of hemoglobin S fibers

Electron microscopy of sickle cell hemoglobin fibers fixed at different times during gelation shows an exponential distribution of fiber lengths, with many short fibers and few long ones. The distribution does not change significantly with time as polymerization progresses. If this distribution of lengths reflects kinetic mechanism of fiber assembly, it complements information from studies of the progress of average properties of the polymers and, as has been done for other rod-like polymerizing systems, permits testing of models for the mechanism of fiber assembly. In this case, the results are consistent with the double nucleation model of Ferrone et al. or with a related alternative model based on fiber breakage. However, other possible causes of this microheterogeneity exist, including: breakage due to solution shearing of the long, rod-like, fibers; the presence of residual nuclei; equilibrium relations governing polymerization; and breakage of solid-like but weak gels that develop early and adhere to the grid. The arguments against the first three of these possibilities suggest that they are not responsible. However, breakage of entanglements or cross-links in a solid-like and adherent gel is consistent with the distributions.     

Molecular topology in crystals and fibers of hemoglobin S

Several lines of evidence indicate a close correspondence between the linear double filaments in the crystal form of hemoglobin S grown from solutions containing polyethylene glycol and the seven pairs of helical filaments that occur in the 14-filament fibers of hemoglobin S. An analysis of the adjustments to the intermolecular contacts required to convert the double filaments from crystals to fibers is presented here. In addition, postulated contacts between the helical double filaments, which are distinct from any of the contacts of the crystals, are specified for the first time. The movements from crystals to fibers are described in terms of three rotation angles: α, the inclination of the filaments with respect to the fiber axis; δ, the tilt of successive molecules along the filaments; and ω, the rotation of successive molecules along the filaments. On the basis of the fiber structure determined by three-dimensional reconstruction of electron micrographs and the assignment of filament pairs from data on incomplete fibers, the various angles have been evaluated. For the filaments at various radii in the fibers, a varies from 3 ° to 12 °, δ varies from 1 ° to 4 ° and ω is constant at 9 °. The effects of the rotations on the contacts between molecules of hemoglobin S at various positions in the fibers are characterized using surface maps based on polar coordinates. For each residue on the surface of hemoglobin the centroid position of its side-chain is located by a longitude, a latitude and an altitude. Locations on the maps are assigned for the contacts within the helical double filaments, as well as 11 classes of new contacts describing the potential interaction sites between double filaments. The resulting maps (1) deduce roles for the various α mutants of hemoglobin known to influence fiber formation that have been identified by the Benesches; (2) distinguish effects for the α chain mutants on the same (cis) or opposite (trans) α₁β₁ dimer as the β6 Val in asymmetric tetramers; (3) propose new sites where effects of mutations on fiber formation may be found; and (4) suggest why some mutants may inhibit, while others enhance, fiber formation. Concerning the last point, the possibility of certain mutants “correcting” the effects of other mutants is proposed as a test of contact assignments.     

Three-dimensional reconstruction of the 14-filament fibers of hemoglobin S.

The supramolocular structure of hemoglobin S has been studied by electron microscopy and computer-based image reconstruction. Negatively stained fibers prepared by the lysis of sickled cells or the stirring of hemoglobin S hemolysates have been observed to be almost exclusively of the 20-nm diameter form. These fibers have a periodic variation in diameter between the extremes of 18 nm and 23 nm. Computed Fourier transforms of the fibers show a, highly complex pattern of reciprocal space maxima, with 30 maxima on 20 layer-lines clearly resolved. The Bessel orders of the maxima were assigned with the aid of a newly developed technique, a combined real-space Fourier-space reconstruction method (REFORM). This method utilizes the filtered image produced by the inverse Fourier transform of the low-resolution maxima to calculate in real space the crosssection of a helical fiber. The REFORM analysis indicated that the fibers have an elliptical cross-section and are composed of 14 hexagonally packed filaments with 10 outer filaments surrounding four inner filaments. On the basis of this cross-section, the Bessel orders of all the maxima were assigned, permitting the calculation of three-dimensional reconstructions by Fourier Bessel synthesis. From these reconstructions details of the location of hemoglobin S molecules of each filament were obtained. Hemoglobin S molecules are staggered in adjacent filaments to produce a closely packed helical structure. Reconstructions of fibers at various stages of disassembly revealed a stable intermediate containing 10 filaments which could be characterized in terms of the loss of two pairs of specific outer filaments. A partially disassembled fiber with only six filaments at positions corresponding to three inner and three outer filaments of the parent structure was also identified. The six-filament structure appears to be produced from the 10-filament structure by the loss of two specific pairs of filaments. Thus pairs of filaments are evidently significant structural units in the stabilization of the complete fibers and the orientation of the molecules in these pairs may be related to the filament pairs known to occur in crystals of hemoglobin S.     

Understanding the shape of sickled red cells

To understand the physical basis of the wide variety of shapes of deoxygenated red cells from patients with sickle cell anemia, we have measured the formation rate and volume distribution of the birefringent domains of hemoglobin S fibers. We find that the domain formation rate depends on the approximately 80th power of the protein concentration, compared to approximately 40th power for the concentration dependence of the reciprocal of the delay time that precedes fiber formation. These remarkably high concentration dependences, as well as the exponential distribution of domain volumes, can be explained by the previously proposed double nucleation model in which homogeneous nucleation of a single fiber triggers the formation of an entire domain via heterogeneous nucleation and growth. The enormous sensitivity of the domain formation rate to intracellular hemoglobin S concentration explains the variable cell morphology and why rapid polymerization results in cells that do not appear sickled at all.     

Rapid deoxygenation of red cells and hemoglobin solution using hollow capillary fibers

A newly designed capillary deoxygenator has been constructed by using microporous polypropylene hollow fibers sealed into an airtight plexiglass housing. Oxygenated red cell suspensions and hemoglobin solutions flowing through the hollow fibers were subjected to deoxygenation with a gas mixture composed of 95 percent N2 and 5 percent CO2 passed through the housing. At a given flow rate of the oxygenated fluid, the outgoing fluid pO2 varied directly with hematocrit and inversely with the residence time. With a deoxygenator composed of 144 parallel 100-micrometers fibers with an active length of 10 cm, 2 ml of blood at 10 percent hematocrit can be converted from arterial to venous pO2 in approximately 1 min. The design of this deoxygenator provides a method for rapid deoxygenation of blood without red cell membrane damage or hemolysis.     

Membrane protein organization in ATP-depleted and irreversibly sickled red cells

It has been proposed that the spectrin-actin submembrane network participates in control of red cell shape and deformability. We have examined ATP- and calcium-dependent changes in organization of spectrin in the membrane employing cross-linking of the nearest membrane protein neighbors by spontaneous or catalyzed (CuSO₄, O-phenanthroline) intermolecular disulfide couplings and two-dimensional sodium dodecyl sulfate polyacrylamide gel electrophoresis. Cross-linking of fresh red cells resulted in the formation of spectrin and actin dimers and tetramers. ATP-depleted red cells differed from fresh cells in the presence of an additional reducible polymer of MW > 1 × 10⁶ selectively enriched in spectrin. This polymer formed spontaneously when red cells were depleted of ATP under aerobic conditions. After anaerobic ATP depletion, the polymer formed in ghosts after cross-linking by catalytic oxidation. Polymerization was prevented by maintenance of ATP and coincided with an ATP-dependent discocyte-echinocyte transformation. This suggests that, in ATP-depleted red cells, spectrin is rearranged to establish closer contacts, and that this may contribute to the discocyte-echinocyte transformation. The introduction of greater than 0.5 mM Ca⁺⁺ into ghosts by inclusion in hemolysis buffer or into fresh red cells (but not ATP-depleted red cells) by treatment with ionophore A23187 spontaneously produced a nonreducible polymer which others have attributed to transamidative cross-linking of spectrin, band 3, and other proteins. Spontaneous formation of both polymer types (reducible in aerobically ATP-depleted red cells and nonreducible in fresh, Ca⁺⁺ enriched red cells) resulted in stabilization (“autocatalytic fixation”) of spheroechinocytic shape. Irreversibly sickled cells, which have increased calcium and decreased ATP, and exhibit a permanent membrane deformation, failed to form any of the above polymers. This suggests that in contrast to normal cells depleted of ATP in vitro, fixation of ISC shape in vivo is not related to Ca- and ATP-dependent membrane protein polymerization. However, ISCs had an increased propensity to form the reducible, spectrin-rich polymer during a subsequent metabolic depletion in vitro. This was associated with transformation of ISCs into spheroechinocytes. Similar echinocytic ISCs were found to constitute 5–10% of the densest fractions of freshly separated ISCs. ISCs then exhibit sphero-echniocyte transformation, both in vitro and in vivo. We propose that this is due to spectrin reorganization that presumably results from the progressively increasing calcium and decreasing ATP of ISCs. These data provide evidence of altered spectrin organization in membranes of ATP-depleted, calcium-enriched red cells in vitro and in vivo.     

Intermolecular contacts within sickle hemoglobin fibers

By combining X-ray crystallographic co-ordinates of sickle hemoglobin (HbS) molecules with three-dimensional reconstructions of electron micrographs of HbS fibers we have synthesized a model for the structure of the clinically relevant HbS fiber. This model largely accounts for the action of 55 point mutations of HbS whose effect on fiber formation has been studied. In addition, it predicts locations at which additional point mutations are likely to affect fiber formation. The number of intermolecular axial contacts decreases with radius until, at the periphery of the fiber, there are essentially no axial contacts. We suggest that this observation accounts for the limited radial growth of the HbS fiber and that a similar mechanism may be a factor in limiting the size of other helical particles. The methodology for the synthesis of the fiber model is applicable to other systems in which X-ray crystallographic and electron microscopic data are available.     

Sickle hemoglobin fibers: mechanisms of depolymerization

We examined the depolymerization of hemoglobin (Hb) S fibers in the presence of CO by using photolysis of COHbS to create and isolate individual fibers, then removing photolysis to induce depolymerization. Depolymerization occurs at two sites, fiber ends and fiber sides, with different kinetics and by different mechanisms. At low partial pressure of CO (pCO), end-depolymerization is dominant, proceeding at approximately 1 microm s(-1), whereas at high pCO fibers vanish very rapidly, in much less than one second, by side-depolymerization. Each kind of depolymerization could occur by a ligand-independent path, in which deoxyHb depolymerizes and then is prevented from returning to the polymer by liganding with CO, or by a ligand-dependent path in which CO binds to the polymer inducing dissociation of the newly liganded molecules from it. We find that ligand-independent depolymerization is the dominant path for end-depolymerization and ligand-dependent depolymerization dominates, at least at high pCO, for side-depolymerization. On the basis of our kinetic results and electron micrographs of depolymerizing fibers, we propose a model for side-depolymerization in which a hole is nucleated by cooperative loss of a few molecules from fiber sides, followed by rapid depolymerization from the newly created fiber ends abutting the hole. Potential significance of these results for the pathophysiology of sickle cell disease is discussed.     

Monomer diffusion and polymer alignment in domains of sickle hemoglobin.

We have used polarized absorbance to observe the process of monomer accretion and polymer alignment which occurs in domains of sickle hemoglobin that are formed and maintained by laser photolysis. These diffusion and alignment processes have been studied as a function of initial concentration and temperature (initial and final), as well as beam size and domain number. Monomers are found to diffuse into growing polymer domains with a rate that is essentially temperature and concentration independent, but which depends on the size of the final domain boundaries, and the number of domains within a boundary. The final concentrations achieved are very close to those found in packed centrifugation experiments (50-55 g/dl) and are approximately independent of starting temperature and concentration. The influx of monomers is accompanied by polymer alignment, and the amount aligned is proportional to the amount diffused throughout the process. We propose that polymer alignment controls the influx of added monomers into the growing domain.     

Supranucleosomal organization of chromatin fibers in nuclei of Drosophila S2 cells

Earlier, the interphase chromatin structures could not be visualized due to the stickiness of the nuclear material. We have reduced stickiness by the reversal of permeabilization allowing the isolation and microscopic imaging of interphase chromatin structures. By using a high resolution of synchronization, collecting 36 elutriation fractions, we show that major intermediates of chromatin condensation include: (a) decondensed veillike chromatin at the unset of the S phase (2.0-2.2 C-value), (b) polarization of veiled chromatin (2.2-2.6 C), (c) fibrous chromatin (2.6-3.0 C), chromatin bodies (3.0-3.3 C), early precondensed chromosomes (3.3-3.6). The compaction of Drosophila chromosomes did not reach that of the mammalian cells in the final stage of condensation (3.6-4.0 C). Drosophila chromosomes consist of smaller units called rodlets. Results demonstrate that nucleosomal chromatin (beads on string) does not form a solenoid structure; rather, the topological arrangement consists of meandering and plectonemic loops.     

High-voltage electron microscopy of normal and irreversibly sickled red blood cells

Summary A high-voltage electron microscopic study of normal red cells and irreversibly sickled red cells (ISCs) was conducted. Comparison with intact, critical-point dried red cells revealed that the ISC fraction could always be identified because of the presence of numerous echinocytes. Examination of the unsealed ghosts after incubation in 3,3-diaminobenzidene (DAB) to detect hemoglobin (Hb) bound to the plasma membrane revealed that Hb adhered to the cytoplasmic surface of the ISC membrane. The Hb was concentrated in the surface projections of the echinocytes and also was seen as granules associated with the filamentous substructure of the plasma membrane. The role of this adherent Hb in exerting a transmembrane effect to alter the surface properties of the cell is discussed.This research was supported by N.I.H. grant HL 21096 to G.W. and by grant RR-00592, Biotechnology Resources Branch, Division of Research Resources, N.I.H.     

Membrane alterations in irreversibly sickled cells: Hemoglobin–membrane interaction

Irreversibly sickled cells (ISCs) are sickle erythrocytes which retain bipolar enlongated shapes despite reoxygenation and owe their biophysical abnormalities to acquired membrane alterations. Freeze-etched membranes both of ISCs produced in vitro and ISCs isolated in vivo reveal microbodies fixed to the internal (PS) surface which obscure spectrin filaments. Intramembranous particles (IMPs) on the intramembrane (PF) surface aggregate over regions of subsurface microbodies. Electron microscopy of diaminobenzidine-treated ISC ghosts show the microbodies to contain hemoglobin and/or hemoglobin derivatives. Scanning electron microscopy and freeze-etching demonstrate that membrane–hemoglobin S interaction in ISCs enhances the membrane loss by microspherulation. Membrane-bound hemoglobin is five times greater in in vivo ISCs than non-ISCs, and increases during ISC production, paralleling depletion of adenosine triphosphate. Polyacrylamide gel electrophoresis of ISC membranes shows the presence of high-molecular-weight heteropolymers in the pre–band 1 region, a decrease in band 4.1 and an increase in bands 7, 8, and globin. The role of cross-linked membrane protein polymers in the generation of ISCs is discussed and is synthesized in terms of a unified concept for the determinants of the genesis of ISCs.     

Anisotropy in sickle hemoglobin fibers from variations in bending and twist

We have studied the variations of twist and bend in sickle hemoglobin fibers. We find that these variations are consistent with an origin in equilibrium thermal fluctuations, which allows us to estimate the bending and torsional rigidities and effective corresponding material moduli. We measure bending by electron microscopy of frozen hydrated fibers and find that the bending persistence length, a measure of the length of fiber required before it starts to be significantly bent due to thermal fluctuations, is 130microm, somewhat shorter than that previously reported using light microscopy. The torsional persistence length, obtained by re-analysis of previously published experiments, is found to be only 2.5microm. Strikingly this means that the corresponding torsional rigidity of the fibers is only 6x10(-27)Jm, much less than their bending rigidity of 5x10(-25)Jm. For (normal) isotropic materials, one would instead expect these to be similar. Thus, we present the first quantitative evidence of a very significant material anisotropy in sickle hemoglobin fibers, as might arise from the difference between axial and lateral contacts within the fiber. We suggest that the relative softness of the fiber with respect to twist deformation contributes to the metastability of HbS fibers: HbS double strands are twisted in the fiber but not in the equilibrium crystalline state. Our measurements inform a theoretical model of the thermodynamic stability of fibers that takes account of both bending and extension/compression of hemoglobin (double) strands within the fiber.     

Oxygen equilibria of hemoglobin A and hemoglobin S valency hybrids.

Oxygen equilibrium determinations with “unsymmetrical” MetHb/Hb hybrids derived from human hemoglobins A and S are reported. All four of the possible hybrids have higher oxygen affinity than the parent hemoglobins. The α₂^Metβ₂^S hybrid has a lower oxygen affinity than that of α₂^Metβ₂^S. However, both the β^Met hybrids have similar oxygen affinity. The Bohr value of α₂^Metβ₂^S is more negative than that of α₂^Metβ₂^A while the β^Met hybrids appear to have almost identical Bohr values. These findings favor the view that α and β chains in hemoglobin A have different conformations and indicate that hemoglobin S has a β-chain conformation different from that of β-chain of hemoglobin A. This difference is probably carried into the oxygenation properties of the α-chain in such a way as to be reflected only when the β chain is oxidized.     

Intermolecular effects in the polymerization of hemoglobin S

Monolayer cultures of astrocytes from newborn rat brain hemispheres have been analysed for the glial-specific protein S-100, during their growth cycle. In primary cultures S-100 protein level increases with a pattern close to that observed with rat brain hemispheres $\text{in vivo}$. This finding suggests that some biochemical maturation of the astrocytes occurs $\text{in vitro}$. In secondary cultures the level of S-100 protein decreases and then increases at the end of the proliferation phase. This modulation, similar to that observed in a clonal culture of tumor cells from rat brain (C6) provides a model to study the relationship between gene expression and the phase of growth of the cells and will allow parallel investigations in normal and tumor cells.     

Modeling sickle hemoglobin fibers as one chain of coarse-grained particles

Sickle cell disease (SCD) is caused by a single point mutation in the beta-chain hemoglobin gene, resulting in the presence of abnormal hemoglobin S (HbS) in the patients' red blood cells (RBCs). In the deoxygenated state, the defective hemoglobin tetramers polymerize forming stiff fibers which distort the cell and contribute to changes in its biomechanical properties. Because the HbS fibers are essential in the formation of the sickle RBC, their material properties draw significant research interests. Here, a solvent-free coarse-grain molecular dynamics (CGMD) model is introduced to simulate single HbS fibers as a chain of particles. First, we show that the proposed model is able to efficiently simulate the mechanical behavior of single HbS fibers. Then, the zippering process between two HbS fibers is studied and the effect of depletion forces is investigated. Simulation results illustrate that depletion forces play a role comparable to direct fiber-fiber interaction via Van der Waals forces. This proposed model can greatly facilitate studies on HbS polymerization, fiber bundle and gel formation as well as interaction between HbS fiber bundles and the RBC membrane.