Structural basis and dynamics of the fiber-to-crystal transition of sickle cell hemoglobin

The kinetics of the assembly of structurally distinct, polymeric aggregates constituting the fiber-to-crystal transition of sickle cell hemoglobin in slowly stirred, deoxygenated solutions has been studied with the use of electron microscopy as a function of pH, as a function of the crystal structures of mutant forms of human deoxyhemoglobins employed as nucleating seeds, and as a function of hemoglobin S chemically modified at the Cys F9 (beta 93) position. The temporal order of appearance of fibers of approximately 210 A diameter, bundles of aligned fibers, macrofibers of greater than or equal to 650 A diameter, and microcrystals is observed. Microscopic fragments of end-stage crystals formed under slowly stirred conditions and introduced as nucleating seeds enhance the rate of crystallization only when added prior to the formation of large bundles of aligned fibers, while microscopic seed crystals added after the formation of bundles of aligned fibers do not alter the rate of crystallization. Over the pH range 6.3 to 7.1, the presence of macrofibers does not influence modulation of the kinetics of the transition with seed crystal fragments. Microscopic seed crystals of deoxyhemoglobin S and deoxyhemoglobin C formed under acidic conditions (pH less than 6.5) have a comparable influence on the kinetics of the fiber-to-crystal transition to that of end-stage crystals. Microscopic seed crystals of deoxyhemoglobin C formed under alkaline conditions (pH greater than 6.5) enhance the formation of macrofibers but do not alter the rate of crystallization. Under conditions associated with enhanced formation of macrofibers, metastable microscopic crystals having axial periodicities of approximately 64 A and approximately 210 A are observed in the intermediate phase of the transition, while end-stage crystals have axial unit cell dimensions identical to those of deoxyhemoglobin S crystallized from polyethylene glycol solutions of pH less than 6.5. Although the metastable crystals may arise from fragments of macrofibers, it is shown that they cannot be transformed directly into end-stage crystals under slowly stirred conditions without undergoing dissolution. These results stipulate that the pathway of the fiber-to-crystal transition proceeds according to the reaction: (Formula: see text) wherein the rate-limiting step is the alignment of fibers into large bundles, and macrofibers are not an intermediate of the fiber-to-crystal transition.(ABSTRACT TRUNCATED AT 400 WORDS)     

Polymorphic assemblies of double strands of sickle cell hemoglobin: Manifold pathways of deoxyhemoglobin S crystallization

Crystallization of sickle cell hemoglobin proceeds by distinctive pathways which depend upon the pH and the ionic composition of the crystallizing milieu. The pathways differ in that after fibers form they associate into different intermediates which then crystallize. We term the pathways “high pH” and “low pH”. The value of the transition pH between the high pH and low pH pathways depends upon the specific ionic species present in the hemoglobin solution. Over the pH range studied the mechanism of crystallization is pH-dependent but the structure of the crystals ultimately formed is not.In this paper we describe two newly discovered intermediates involved in the crystallization of deoxyhemoglobin S via the low pH pathway. The first of these consists of a class of particles we call macrofibers. Optical diffraction patterns of fibers and macrofibers have similar intensity distributions and layer-line spacings suggesting that macrofibers and fibers are assembled from a common structural unit which we take to be the Wishner-Love double strand.The second new structure is a paracrystalline form of deoxyhemoglobin S. The paracrystal is built from layers of double strands of molecules in an arrangement similar to that within the crystals. Optical diffraction of electron micrographs of paracrystals reveals that longitudinal disorder is present between double strands. Projections of the electron density down the c axis of the crystal provide images very similar to those in electron micrographs of negatively stained paracrystals. The patterns appearing in the paracrystal due to the disorder can be fully simulated by shifts between the layers of double strands.     

Inhibitory effect of deoxyhemoglobin A2 on the rate of deoxyhemoglobin S polymerization.

From a consideration of the primary sequence of hemoglobin A₂ and the reported 5 å molecular contacts between deoxyhemoglobin S molecules in a crystal, it is predicted that hemoglobin A₂ might act as an inhibitor of the polymerization of deoxyhemoglobin S in a manner similar to hemoglobin. F. This has been tested experimentally by measuring the rate of change of the transverse water proton relaxation times (T₂) in equimolar mixtures of hemoglobin S and one of the non-gelling hemoglobins A, F or A₂. Hemoglobins A₂ and F have far more pronounced inhibitory effects on the rate of polymerization than does hemoglobin A. These molecules contain several amino acid differences from hemoglobin A beta chains which are located in the 5 Å molecular crystal contacts and these altered crystal contacts result in a much stronger inhibition of the rate of polymerization. Since hemoglobin A₂ is a normal hemoglobin found in small amounts in all adult red cells, increased delta chain synthesis may have potential importance in therapy for sickle cell disease.     

Structural analysis of polymers of sickle cell hemoglobin. III. Fibers within fascicles

We have examined the structure of hemoglobin S fibers, which are associated into large bundles, or fascicles. Electron micrographs of embedded and cross-sectioned fascicles provide an end-on view of the component fibers. The cross-sectional images are rotationally blurred as a result of the twist of the fiber within the finite thickness of the section. We have applied restoration techniques to recover a deblurred image of the fiber. The first step in this procedure involved correlation averaging images of cross-sections of individual fibers in order to improve the signal-to-noise ratio. The rotationally blurred image was then geometrically transformed to polar co-ordinates. In this space, the rotational blur is transformed into a linear blur. The linearly blurred image is the convolution of the unblurred image and a point spread function that can be closely approximated by a square pulse. Deconvolution in Fourier space, followed by remapping to Cartesian co-ordinates, produced a deblurred image of the original micrograph. The deblurred images indicate that the fiber is comprised of 14 strands of hemoglobin S. This result provides confirmation of the fiber structure determined using helical reconstruction techniques and indicates that the association of fibers into ordered arrays does not alter their molecular structure.     

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.     

Refined crystal structure of deoxyhemoglobin S. II. Molecular interactions in the crystal

The refined crystal structure of deoxyhemoglobin S (Padlan, E. A., and Love, W. E. (1985) J. Biol. Chem. 260, 8272-8279) was used to analyze in detail the molecular interactions between hemoglobin tetramers in the crystal. The analysis confirms the close similarity and also the nonequivalence of the molecular interactions involving the two independent tetramers in the asymmetric unit of the crystal. The residue at the site of the hemoglobin S mutation, beta 6, is intimately involved in the lateral contacts between adjacent molecules. The molecular contacts in the crystals of deoxyhemoglobin S, deoxyhemoglobin A, and deoxyhemoglobin F were compared; some contacts involve the same regions of the molecule although the details of the interactions are very different. The effect of introducing an R state tetramer into the deoxyhemoglobin S strands was investigated using the known structure of carbon monoxyhemoglobin A. It was found that substituting a molecule of carbon monoxyhemoglobin A for one of the deoxyhemoglobin S tetramers results in extensive molecular interpenetration.     

On the assembly of sickle hemoglobin fascicles

Deoxyhemoglobin S fibers associate into bundles, or fascicles, that subsequently crystallize by a process of alignment and fusion. We have used electron microscopy to study the formation of fascicles and the changes in fiber packing that occur during the conversion of fascicles to crystals. The first event in crystallization involves fibers forming fascicles that are initially small and poorly ordered but, with time, become progressively larger and more highly ordered. After six to eight hours, the fibers in a fascicle form a crystalline lattice. The three-dimensional unit cell parameters of this lattice are a = 1300 A, b = 365 A, and c = 210 A (the a axis is parallel to the fiber axis). Fibers have an elliptical cross-section whose major and minor axes are 250 A and 185 A, respectively. When projected on to the unit cell vectors, these dimensions are 210 A and 155 A, so the unit cell dimension of 365 A implies that there are two fibers per unit cell. Theoretically, fibers could pair so that each member of the unit cell is oriented in the same direction (parallel) or opposite directions (antiparallel). Fourier transforms of electron micrographs (or models) cannot distinguish between these alternatives, since the two arrangements produce very similar intensity distributions. The orientation of the fibers was determined from cross-sections of the fascicles in which the fibers are seen end-on. In this view the images of the fibers are rotationally blurred because the fibers twist 30 degrees to 40 degrees about their helical axis through the 300 A to 400 A thick section. We have been able to remove the rotational blur from each of the fibers in the unit cell using the procedures described by Carragher et al. The deblurred images of the two fibers in the unit cell are related by mirror symmetry. This relationship means that the fibers are antiparallel. These observations suggest that crystallization of fibers in fascicles is mediated by assembly of the fibers into antiparallel pairs that contain equal numbers of double strands running in each direction.     

The gelation of deoxyhemoglobin S in erythrocytes as detected by transverse water proton relazation measurements

At 37 °C, when samples of blood, washed erythrocytes, or isolated hemoglobin from individuals with sickle cell disease are deoxygenated, the transverse water proton relaxation time is sharply decreased. In similar samples from normal adults homozygous for hemoglobin A, only a slight decrease in t₂ is observed upon deoxygenation at 37 °C. In samples containing deoxyhemoglobin S the value of t₂ increases as the temperature is decreased from 37 °C to 4 °C, in contrast to samples containing oxyhemoglobin S, oxyhemoglobin A, or deoxyhemoglobin A where t₂ decreases as the temperature decreases. It is suggested that this decrease in t₂ observed in samples of deoxyhemoglobin S at 37 °C is the result of an increase in the amount of preferentially oriented water at macromolecular interfaces which occurs under conditions known to produce deoxyhemoglobin S gelation. Conditions which reverse deoxyhemoglobin S gelation such as lowering the temperature to 4 °C decrease the amount of preferentially oriented water which results in an increase in the value of t₂. Thus, measurement of the transverse water proton relaxation time can be used to monitor the gelation of deoxyhemoglobin S inside the erythrocyte.     

Calorimetric and optical characterization of sickle cell hemoglobin gelation.

We have used two techniques to characterize the gelation of deoxyhemoglobin S, a high sensitivity heat-flow calorimeter to measure the heat of gelation and a simple light-transmission method to measure the optical birefringence resulting from the alignment of deoxyhemoglobin S fibers in the gel. A theory for the interpretation of the birefringence measurements is presented. We combine the results of the calorimetric and optical measurements with those of sedimentation experiments to obtain enthalpy changes for gelation. The enthalpy change obtained from scanning and isothermal calorimetric measurements (0.25 m-potassium phosphate, 0.05 m-sodium dithionite, pH 6.9) varies from 4000 to 2200 cal mol⁻¹ hemoglobin between 16 and 25 °C. There is a large apparent heat capacity change of −130 to −190 cal deg.⁻¹ mol⁻¹. The apparent enthalpy change estimated from solubility measurements and birefringence melting experiments is 2200 ± 500 cal mol⁻¹ in qualitative agreement with the calorimetric results. Analysis of the time dependence of the calorimetric and optical progress curves at 20 °C leads to a rough estimate of 1800 to 4000 and −800 to 1500 cal mol⁻¹ hemoglobin for the enthalpies of polymerization and alignment of fibers, respectively. The small magnitude of the observed enthalpy change is in accord with the view that no large conformational change takes place in the deoxyhemoglobin S molecule upon gelation.     

Studies of the fiber to crystal transition of sickle cell hemoglobin in acidic polyethylene glycol

The crystallization of deoxygenated sickle cell hemoglobin in acidic (pH 5.2) polyethylene glycol (10%) has been studied in order to determine if the mechanism of crystal formation under such conditions has features in common with the mechanism of crystal formation at higher pH values in the absence of polyethylene glycol. The existence of a common mechanism of crystallization under different conditions is relevant in validating the use of the known high resolution crystal structure to interpret the fiber structure. Our findings indicate that deoxygenated sickle cell hemoglobin crystallization in acidic polyethylene glycol is initiated by fiber formation. Fibers, in turn, convert to larger structures called macrofibers within several hours (Wellems et al., 1981). Fibers and macrofibers (and their respective optical transforms) formed in acidic polyethylene glycol appear to have the same structure as their counterparts formed at higher pH values in the absence of polyethylene glycol. Early in the transition one can observe macrofibers in the process of alignment and fusion. The structural characterization of the intermediates leaves little doubt that crystallization in acidic polyethylene glycol is mediated by the same mechanism as that occurring under more physiological conditions, and that fibers are a metastable intermediate whose ultimate fate is to crystallize.     

Macrofiber structure and the dynamics of sickle cell hemoglobin crystallization

Fibers of deoxyhemoglobin S undergo spontaneous crystallization by a mechanism involving a variety of intermediate structures. These intermediate structures, in common with the fiber and crystal, consist of Wishner-Love double strands of hemoglobin S molecules arranged in different configurations. The structure of one of the key intermediates linking the fiber and crystal, called a macrofiber, has been studied by a variety of analytical procedures. The results of the analysis indicate that the intermediates involved in the fiber to crystal transition have many common structural features. Fourier analysis of electron micrographs of macrofibers confirms that they are composed of Wishner-Love double strands of hemoglobin molecules. Electron micrographs of macrofiber cross-sections reveal that the arrangement of the double strands in macrofibers resembles that seen in micrographs of the a axis projection of the crystal. This orientation provides an end-on view of the double strands which appear as paired dumb-bell-like masses. The structural detail becomes progressively less distinct towards the edge of the particle due to twisting of the double strands about the particle axis. Serial sections of macrofibers confirm that these particles do indeed rotate about their axes. The twist of the particle is right handed and its average pitch is 10,000 Å. The effect of rotation on the appearance of macrofiber cross-sections 300 to 400 Å thick can be simulated by a 15 ° rotation of an a axis crystal projection. The relative polarity of the double strands in macrofibers and crystals can be determined easily by direct inspection of the micrographs. In both macrofibers and crystals they are in an anti-parallel array.On the basis of these observations we conclude that crystallization of macrofibers involves untwisting and alignment of the double strands.     

Studies in chiral symmetry breaking crystallization I: The effects of stirring and evaporation rates

Chiral symmetry breaking can be realized in stirred crystallization of Na-ClO₃. We present experimental and theoretical studies of the random distribution of crystal enantiomeric excess (cee) for various stirring and solvent evaporation rates. For a fixed solvent evaporation rate, as the stirring RPM is increased, the probability distribution of cee initially broadens and subsequently develops a sharp peak close to cee = 1. On further increase of stirring rate, the probability distribution once again broadens. This broad probability distribution becomes narrow, with a sharp peak near cee = 1, if the solvent evaporation rate is decreased. Thus we show some ways in which the probability distribution of cee can be controlled in stirred crystallization. In particular, our study shows that the stirring rate and the solvent evaporation rate can be adjusted to maximize crystal enantiomeric excess. © 1995 Wiley-Liss, Inc.     

Crystallization of human oxyhaemoglobin from poly(ethylene glycol) solutions.

Crystals of human oxyhaemoglobin were obtained from poly(ethylene glycol) solutions. Spectroscopic and spectrophotometric measurements on the solutions during crystallization and on the dissolved crystals indicate that the method yields stable crystals of oxyhaemoglobin. Preliminary X-ray studies showed that the crystals obtained are isomorphous with those of deoxyhaemoglobin obtained from poly(ethylene glycol) solutions [Ward, Wishner, Lattman & Love (1975) J. Mol. Biol. 98, 161-177].     

Using Molecular Mechanics to Predict Bulk Material Properties of Fibronectin Fibers

The structural proteins of the extracellular matrix (ECM) form fibers with finely tuned mechanical properties matched to the time scales of cell traction forces. Several proteins such as fibronectin (Fn) and fibrin undergo molecular conformational changes that extend the proteins and are believed to be a major contributor to the extensibility of bulk fibers. The dynamics of these conformational changes have been thoroughly explored since the advent of single molecule force spectroscopy and molecular dynamics simulations but remarkably, these data have not been rigorously applied to the understanding of the time dependent mechanics of bulk ECM fibers. Using measurements of protein density within fibers, we have examined the influence of dynamic molecular conformational changes and the intermolecular arrangement of Fn within fibers on the bulk mechanical properties of Fn fibers. Fibers were simulated as molecular strands with architectures that promote either equal or disparate molecular loading under conditions of constant extension rate. Measurements of protein concentration within micron scale fibers using deep ultraviolet transmission microscopy allowed the simulations to be scaled appropriately for comparison to in vitro measurements of fiber mechanics as well as providing estimates of fiber porosity and water content, suggesting Fn fibers are approximately 75% solute. Comparing the properties predicted by single molecule measurements to in vitro measurements of Fn fibers showed that domain unfolding is sufficient to predict the high extensibility and nonlinear stiffness of Fn fibers with surprising accuracy, with disparately loaded fibers providing the best fit to experiment. This work shows the promise of this microstructural modeling approach for understanding Fn fiber properties, which is generally applicable to other ECM fibers, and could be further expanded to tissue scale by incorporating these simulated fibers into three dimensional network models.     

Reversible solubility of deoxyhemoglobin S

The solubility of deoxyhemoglobin S in 1.96 M phosphate is sensitive to changes in oxygenation and temperature in a manner similar to the widely used $\text{in vitro}$ gelation assay. In addition, the pH of the phosphate buffer used in the solubility determination has a profound effect on deoxyhemoglobin S solubility. It is suggested that solubility in 1.96 M phosphate may be a sensitive method of monitoring the aggregation phenomenon of deoxyhemoglobin S.     

Thermodynamics of gelation of sickle cell deoxyhemoglobin.

This paper describes the thermodynamic behavior of gels of deoxyhemoglobin S. The solubility of the protein with respect to assembled hemoglobin fibers has been measured using a sedimentation technique. The solubility in 0.15 m-potassium phosphate buffer (pH 7.15) is found to decrease with increasing temperature, attain a minimum value of 0.16 g cm^?3 at 37 °C, and then increase at higher temperatures. The amount of polymer present at various hemoglobin concentrations and temperatures is presented as part of a phase diagram that may be useful for the calibration of other measurement techniques. The effects of varying pH and urea concentration upon the solubility have also been studied.The heat absorption accompanying gelation has been measured by scanning calorimetry. Using sedimentation data on the amount of polymer formed, molar enthalpy changes are obtained. There is a large negative heat capacity change of ? 197 cal deg. mol^?1 and ΔH = 0 near 37 °C. Calorimetric molar enthalpy changes are found to agree with those calculated from the temperature dependence of the solubility by the van't Hoff equation.Our previous two-phase, two-component thermodynamic model of gelation is extended to include the effects of solution non-ideality. A large contribution to the activity of the hemoglobin in the solution phase results from the geometric effect of excluded volume. Incorporating solution phase non-ideality permits the calculation of standard state thermodynamic quantities for the gelation process at 37 °C: ΔG^O ? ?3 k cal mol^?1, ΔH^O ~ 0, ΔS^O ~ 10 cal deg.^?1 mol^?1. The excluded volume effect is also capable of explaining observations of the minimum gelling concentrations of hemoglobin mixtures containing deoxyhemoglobin S without requiring copolymerization of the non-S hemoglobin.     

Gelation of sickle cell hemoglobin in mixtures with normal adult and fetal hemoglobins.

We report the results of thermodynamic and kinetic studies on the gelation of mixtures of sickle cell (S) deoxyhemoglobin with normal human adult (A) and fetal (F) deoxyhemoglobins. The delay time of thermally induced gelation was monitored by the increase in turbidity. At the completion of gelation the solubility was determined by sedimenting the polymers and measuring the supernatant concentration spectrophotometrically. Addition of hemoglobins A or F, at mole fractions from 0 to 0.6, resulted in large increases in both the solubility and the delay time. For a 50:50 mixture of deoxyhemoglobin F with deoxyhemoglobin S, the solubility increased by a factor of 1.8 and the delay time by a factor of 10⁷ relative to pure deoxyhemoglobin S at the same total concentration, while for a 50:50 mixture of deoxyhemoglobins A and S the solubility increased by a factor of 1.4 and the delay time by a factor of 10⁴. The relative delay times were independent of both temperature and total hemoglobin concentration. The data have been analyzed according to theoretical models which treat the effects of temperature, concentration, non-ideality and solution composition on the thermodynamics and kinetics of gelation. The increased solubility in mixtures with deoxyhemoglobin F is fully explained by a model in which only deoxyhemoglobin S molecules polymerize. The effect of fetal hemoglobin (α₂γ₂) and hybrid α₂γβ^S molecules is to increase the solution non-ideality through the contribution of their excluded volume. The smaller increase in the solubility observed in comparable mixtures with deoxyhemoglobin A requires that the hybrid α₂β^Aβ^S molecules copolymerize with the deoxyhemoglobin S. The kinetic results for the mixtures can be quantitatively accounted for using a nucleation model in which the equilibrium properties of the polymer are used to describe the critical nucleus. The very large increases in delay time observed for the $\text{S}\text{F}$ mixtures can be explained by assuming that only α₂β₂^S molecules participate in the formation of a nucleus containing about 25 monomers. As in the thermodynamic analysis, the smaller effect of adding deoxyhemoglobin A can be attributed to the contribution of the hybrid molecules in forming the critical nucleus. Thus the difference between the polymerization properties of mixtures of deoxyhemoglobin S with deoxyhemoglobins A and F can be attributed solely to the copolymerization of the α₂β^Aβ^S hybrid molecule and the absence of any significant copolymerization of the α₂γβ^S hybrid.     

Effects of Stirring and Hydrogen on Fermentation Products of Clostridium thermocellum

Clostridium thermocellum produces ethanol, acetate, H₂, and CO₂ as major fermentation products from cellulose and cellobiose. The performance of three strains of this microorganism was studied to assess the potential use in producing ethanol directly from cellulosic fiber. Depending on the bacterial strain, an ethanol/acetate product ratio from 1 to as high as 3 was observed in unstirred cultures. Vigorous stirring during growth resulted in a threefold decrease in the ethanol/acetate ratio. The H₂ content in the unstirred culture broth was three times greater than that in the stirred one. Addition of exogenous H₂ to the gas phase during growth increased the ethanol/acetate ratio much more in the stirred than in the unstirred fermentations. The addition of sufficient H₂ to the gas phase almost relieved the effect of stirring, and the ethanol/acetate ratio approached that in the unstirred condition. Addition of tritium to the gas phase of the culture resulted in the formation of tritiated water (³H₂O), which indicates that C. thermocellum possesses hydrogenase(s) that catalyzes the reverse reaction. The rate of ³H₂O formation was about three times higher in the stirred culture than in the unstirred culture. These results demonstrate that the H₂ concentration in the broth plays an important role in the product formation. The H₂ supersaturation present in the unstirred cultures is responsible for the observed effect of stirring. A hydrogen feedback control mechanism regulating the relative concentrations of reduced and oxidized electron carriers is proposed to account for the effect of hydrogen on the metabolite distribution.     

Ethanol Production by Saccharomyces cerevisiae Immobilized in Hollow-Fiber Membrane Bioreactors

Saccharomyces cerevisiae ATCC 4126 was grown within the macroporous matrix of asymmetric-walled polysulfone hollow-fiber membranes and on the exterior surfaces of isotropic-walled polypropylene hollow-fiber membranes. Nutrients were supplied and products were removed by single-pass perfusion of the fiber lumens. Growth of yeast cells within the macrovoids of the asymmetric-walled membranes attained densities of greater than 10¹⁰ cells per ml and in some regions accounted for nearly 100% of the available macrovoid volume, forming a tissue-like mass. A radial distribution of cell packing existed across the fiber wall, indicating an inadequate glucose supply to cells located beyond 100 μm from the lumen surface. By comparison, yeast cell growth on the exterior surfaces of the isotropic-walled membranes resulted in an average density of 3.5 × 10⁹ viable cells per ml. Ethanol production by reactors containing isotropic polypropylene fibers reached a maximum value of 26 g/liter-h based on the total reactor volume. Reactor performance depended on the fiber packing density and on the glucose medium flow rate and was limited by low nutrient and product transport rates. The inhibition of ethanol production and the reduction in fermentation efficiency arose primarily from the accumulation of CO₂ gas within the sealed reactor shell space.     

Refined crystal structure of deoxyhemoglobin S. I. Restrained least-squares refinement at 3.0-A resolution

The crystal structure of deoxyhemoglobin S has been refined at 3.0-A resolution using the Hendrickson-Konnert restrained least-squares method. Comparison with the structure of deoxyhemoglobin A reveals a hingelike movement of the beta-chain A helices, which are involved in molecular contacts, toward the EF corners of their respective subunits. This movement brings the amino termini of the beta-chains closer to the molecular dyad. The A helices remain alpha-helical throughout their entire lengths. No other major structural difference is found between deoxyhemoglobin A and deoxyhemoglobin S.