Structural analysis of polymers of sickle cell hemoglobin. II. Sickle hemoglobin macrofibers

Sickle cell hemoglobin macrofibers are an important intermediate in the low pH crystallization pathway of deoxygenated hemoglobin S that link the fiber to the crystal. Macrofibers are a class of helical particles differing primarily in their diameters but are related by a common packing of their constituent subunits. We have performed three-dimensional reconstructions of three types of macrofibers. These reconstructions show that macrofibers are composed of rows of Wishner-Love double strands in an arrangement similar to that in the crystal. We have measured the orientation and co-ordinates of double strands in macrofibers using cross-correlation techniques. In this approach, the electron density projections of double strands calculated from the known high-resolution crystal structure are compared with regions along the length of the particles in which the distinct pattern of double strands in c-axis projection may be observed. Contrary to assertions by Makinen & Sigountos (1984), our results unambigously demonstrate that adjacent rows of double strands in macrofibers are oriented in an antiparallel manner, as in the Wishner-Love crystal. Adjacent rows of antiparallel double strands are displaced along the helical axis relative to their co-ordinates in the crystal. Electron density models of macrofibers based on the crystallographic structure of the sickle hemoglobin double strand are in good agreement with the projections of macrofibers observed in electron micrographs. We have studied the structure of a closely related crystallization intermediate, the sickle hemoglobin paracrystal. The arrangement of double strands in paracrystals is similar to that in Wishner-Love crystals, except that they are displaced along the a-axis of the crystal. Measurements of the double strand co-ordinates reveal that the distribution of strand positions is bimodal. These results further establish the close structural relationship between macrofibers and paracrystals as intermediates in the crystallization of deoxygenated sickle hemoglobin.     

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.     

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)     

Crystallization of deoxyhemoglobin S by fiber alignment and fusion.

Fibers of deoxyhemoglobin S obtained directly from lysed sickled red blood cells have been compared with fibers from chromatographically pure deoxyhemoglobin S solutions of known chemical composition. Electron micrographs of negatively stained specimens reveal that the molecular packing within the fibers remains largely invariant with changes in pH, ionic strength, Mg²⁺ concentration, 2,3-diphosphoglycerate concentration, temperature or the method of deoxygenation.When solutions of chromatographically pure deoxyhemoglobin S are stirred, the fibers align into well defined fascicles. After several hours of stirring, long needles and twisted ribbons develop and in a relatively short time replace the fascicles in solution. With continued stirring all forms are replaced by small crystals. By use of electron microscopy and low-angle X-ray diffraction we have found these crystals to have cell parameters indistinguishable from those of crystals grown in polyethylene glycol and citrate/phosphate buffer at pH 5 to 6 (Wishner et al., 1975a).Our evidence indicates that crystal formation in stirred solutions of deoxyhemoglobin S is the result of a progressive alignment and fusion of the fibers, and that the molecular arrangement within the fibers is closely related to that within the crystal. The remarkable pH invariance of the molecular packing within the fiber and crystal structures is consistent with the dominance of hydrophobic bonding between molecules. The β6-valine contact observed by Wishner et al. (1975b) is apparently the pathological contact responsible for the polymerization of deoxyhemoglobin S in vivo. On the basis of our observations and knowledge of the crystal structure we propose that the deoxyhemoglobin S fiber consists of eight molecular double strands, four of which run in each direction along the length of the fiber.     

The axial repeats in paracrystals of light meromyosin and its complex with C-protein

We examined the axial repeats in electron micrographs of three types of negatively stained paracrystals (two tactoid- and one sheet-like type) of rabbit light meromyosin (LMM) and its complex with C-protein characterized previously by similar axial period of about 43.0 nm. Assuming for the axial repeat in type II tactoids the value of 42.93 +/- 0.05 nm as it was determined by X-ray diffraction technique (Yagi and Offer 1981), we found average axial repeats in type I tactoid and in sheet-like paracrystal of 42.93 +/- 0.75 nm and 43.50 +/- 0.62 nm respectively. Analyzing the micrographs where the two types paracrystals are located side-by-side we determined rather accurately the average ratio of axial repeat in sheet-like paracrystal to that in type I tactoid (1.013 +/- 0.002). Taking 42.93 nm as the axial repeat in type I tactoid, the axial repeat in sheet-like paracrystal was found to be 43.50 +/- 0.08 nm. C-protein binds to LMM with the period of the underlying LMM paracrystals and independently of the value of their axial repeats. Two different axial repeats (42.9 nm and 43.5 nm) revealed for LMM paracrystals in this study precisely coincide with the average repeat periods of myosin crossbridges along the thick filaments found for different physiological states of skeletal muscles (Lednev and Kornev 1987). Molecular basis for the appearance of two structural states in LMM paracrystals and in the shafts of thick filaments are discussed.     

Polymerization of deoxy-sickle cell hemoglobin in high-phosphate buffer

Deoxy-sicklecell hemoglobin (HbS) polymerizes in 0.05 M phosphate buffer to form long helical fibers. The reaction typically occurs when the concentration of HbS is about 165 mg/ml. Polymerization produces a variety of polymorphic forms. The structure of the fibers can be probed by using site-directed mutants to examine the effect of altering the residues involved in intermolecular interactions. Polymerization can also be induced in the presence of 1.5 M phosphate buffer. Under these conditions polymerization occurs at much lower concentrations (ca. 5 mg/ml), which is advantageous when site-directed mutants are being used because only small quantities of the mutants are available. We have characterized the structure of HbS polymers formed in 1.5 M phosphate to determine how their structures are related to the polymers formed under more physiological conditions. Under both sets of conditions fibers are the first species to form. At pHs between 6.7 and 7.3 fibers initially form bundles and then crystals. At lower pHs fibers form macrofibers and then crystals. Fourier transforms of micrographs of the polymers formed in 1.5 M phosphate display the 32- and 64-A(-1) periodicity characteristic of fibers formed in 0.05 M phosphate buffer. The 64-A(-1) layer line is less prominent in Fourier transforms of negatively stained fibers formed in 1.5 M phosphate possibly because salt interferes with staining of the fibers. However, micrographs and Fourier transforms of frozen hydrated fibers formed in high and low phosphate display the same periodicities. Under both sets of reaction conditions HbS polymers form crystals with the same unit cell parameters as Wishner-Love crystals (a = 64 A, b = 185 A, c = 53 A). Some of the polymerization intermediates were examined in the frozen-hydrated state in order to determine whether their structures were significantly perturbed by negative staining. We have also carried out reconstructions of the frozen-hydrated fibers in high and low phosphate to compare their molecular coordinates. The helical projection of the reconstructions in low phosphate shows the expected 14-strand structure. In high phosphate the 14-strand fibers are also formed and their molecular coordinates are the same (within experimental error) as those of fibers formed in 0.05 M phosphate. In addition, the reconstructions of high-phosphate fibers reveal a new minor variant of fiber containing 10 strands. The polymerization products in 1.5 M phosphate buffer were generally indistinguishable from those formed in 0.05 M phosphate buffer. Micrographs of frozen hydrated specimens have facilitated the interpretation of previously published micrographs using negative staining.     

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.     

Effect of H-protein on the formation of myosin filaments and light meromyosin paracrystals

H-protein is a component of the thick filaments of skeletal myofibrils. Its effects on the assembly of myosin into filaments and on the formation of light meromyosin (LMM) paracrystals at low ionic strength have been investigated. H-protein reduced the turbidities of myosin filament and LMM paracrystal suspensions. Electron microscopic observation showed that the appearances of the filaments prepared in the presence and absence of H-protein were different. The filament length was not substantially changed by H-protein, but the diameter of the myosin filament was markedly reduced. H-protein bound to LMM and co-sedimented with it at low ionic strength upon centrifugation. Two types of paracrystals, spindle-shaped and sheet-like, were observed in LMM suspensions. H-protein altered the structure of the LMM paracrystals, especially the spindle-shaped ones. The thickness of the spindle-shaped paracrystals was reduced when H-protein was present during LMM paracrystal formation. On the other hand, periodic features along the long axis of the sheet-like paracrystals were retained even at high ratios of H-protein to LMM. However, there were fewer sheet-like paracrystals in the LMM suspensions containing H-protein than in the control. These results suggest that H-protein interferes with self-association of myosin molecule into filaments due to its binding to the tail portion of the myosin. However, H-protein does not have a length-determining effect on the formation of myosin filaments.     

Instability of pleomorphic tubulin paracrystals artificially induced by Vinca alkaloids in tissue-cultured cells

The processes of tubulin paracrystal induction in Chinese hamster ovary cells treated with a Vinca alkaloid, ie, vinblastine or vincristine, and treated simultaneously with one of the Vinca alkaloids and colcemid or colchicine were followed by four different microscopic techniques, in particular by tubulin-immunofluorescence. Vinca alkaloid alone, in lower concentrations, induced basically tactoid or needle-shaped (N-shaped) paracrystals. However, the formation of crystalloid was greatly enhanced by increasing the concentration of Vinca alkaloid. Square or barrel-shaped (S-shaped) and hexagonal paracrystals were also commonly induced by simultaneous treatment with a Vinca alkaloid and colcemid or colchicine. Large rectangular paracrystals often displayed fibrillar or lamellar fine structures which ran perpendicular to the long axis but tended to cleave into fragments by spontaneous splitting. Electron micrographs revealed the fine structure of crystalloids to be aggregates of numerous filaments. The growth of paracrystals, particularly N-shaped crystals, was markedly inhibited when cells were exposed to drug(s) at a low temperature (4 degrees C). We confirmed that both N- and S-shaped paracrystals dissociated rapidly after the culture medium was replaced with fresh, drug-free medium. Glutaraldehyde-fixed paracrystals treated with RNase solution were stained with acridine orange, showing a weak orange color. Possible factors involved in the assembly and disassembly of tubulin paracrystals are discussed.     

Mg2+-paracrystal formation of tropomyosin as a condensation phenomenon. Effects of pH, salt, temperature, and troponin binding.

Tropomyosin (Tm) paracrystal formation induced by Mg2+ was studied by monitoring increases in light scattering. Paracrystals formed above a critical Tm concentration with lag phases in the time courses at pH 7.5 and 6.0, indicating that condensation polymerization processes are involved. The kinetic data at pH 7.5 reasonably fit a model in which nucleation and elongation are taken into account. The rate and extent of light scattering increased at low [Mg2+] and decreased at high [Mg2+] with a maximum at [Mg2+] = 15 mM, indicating different effects of Mg2+ in the two [Mg2+] ranges. The paracrystals were destabilized by increasing the salt concentration and decreasing the temperature. Mg2+ produces paracrystals at pH 6.0 and pH 7.5 by different kinetic mechanisms. Different Tm intermolecular interactions at the two pH values were indicated by studies of the excimer fluorescence of pyrene-labeled Tm and by effects of salt and temperature on the kinetics. At pH 6.0 Tm more readily formed paracrystals with decreased electrostatic effects. Effects of troponin on Mg2+-paracrystal formation of Tm at the two pH values correlated with the known differences in paracrystal structure when troponin is bound to Tm.     

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.     

Helical crystals of sickle cell hemoglobin

Thin ribbon-like crystals are intermediates in the formation of large crystals of deoxyhemoglobin S from many individual fibers. The thin crystals show foldedover regions when observed by electron microscopy. Some crystals are sufficiently long to have several folds each separated by a distance of about 4.4 μm, suggesting that the crystals are helical in solution. The thickness of the crystals varies from 500 to 900 Å as shown by heavy-metal shadowing and by measurements of the thickness at the crossover point where an edge-on view of the crystal is obtained.     

Analysis of the stability of hemoglobin S double strands.

The deoxyhemoglobin S (deoxy-HbS) double strand is the fundamental building block of both the crystals of deoxy-HbS and the physiologically relevant fibers present within sickle cells. To use the atomic-resolution detail of the hemoglobin-hemoglobin interaction known from the crystallography of HbS as a basis for understanding the interactions in the fibers, it is necessary to define precisely the relationship between the straight double strands in the crystal and the twisted, helical double strands in the fibers. The intermolecular contact conferring the stability of the double strand in both crystal and fiber is between the beta6 valine on one HbS molecule and residues near the EF corner of an adjacent molecule. Models for the helical double strands were constructed by a geometric transformation from crystal to fiber that preserves this critical interaction, minimizes distortion, and makes the transformation as smooth as possible. From these models, the energy of association was calculated over the range of all possible helical twists of the double strands and all possible distances of the double strands from the fiber axis. The calculated association energies reflect the fact that the axial interactions decrease as the distance between the double strand and the fiber axis increases, because of the increased length of the helical path taken by the double strand. The lateral interactions between HbS molecules in a double strand change relatively little between the crystal and possible helical double strands. If the twist of the fiber or the distance between the double strand and the fiber axis is too great, the lateral interaction is broken by intermolecular contacts in the region around the beta6 valine. Consequently, the geometry of the beta6 valine interaction and the residues surrounding it severely restricts the possible helical twist, radius, and handedness of helical aggregates constructed from the double strands. The limitations defined by this analysis establish the structural basis for the right-handed twist observed in HbS fibers and demonstrates that for a subunit twist of 8 degrees, the fiber diameter cannot be more than approximately 300 A, consistent with electron microscope observations. The energy of interaction among HbS molecules in a double strand is very slowly varying with helical pitch, explaining the variable pitch observed in HbS fibers. The analysis results in a model for the HbS double strand, for use in the analysis of interactions between double strands and for refinement of models of the HbS fibers against x-ray diffraction data.     

The structure of spindle-shaped paracrystals of light meromyosin

Light meromyosin paracrystals have been studied by electron microscopy combined with optical diffraction in order to understand how the tails of the myosin molecules might pack in the backbone of muscle thick filaments. The forms of paracrystal investigated were all spindle-shaped structures with an axial periodicity of either 43 nm or 14.3 nm or hybrids involving aspects of both repeats. Transverse sections show that they are not smooth but polygonal in outline. Analysis of the band patterns in negatively stained specimens indicates that the molecular arrangement in the paracrystals involves both parallel and antiparallel interactions. A parallel axial displacement of the molecules by 43 nm is intrinsic to all forms of paracrystal investigated. The principal antiparallel overlap between molecules appears to be one of 84 nm, and it is suggested that an antiparallel dimer is the structural unit in the paracrystals. The role of the interactions leading to these displacements in the formation of the thick filament backbone is discussed.     

A PARACRYSTALLINE INCLUSION IN NEUROSPORA CRASSA : Induction by Ethidium and Acridine, Isolation, and Characterization

A paracrystal indistinguishable from the one which occurs in the mitochondrial mutant abnormal-1 can be induced in wild-type Neurospora crassa after growth in either ethidium or euflavine. This paracrystal has been isolated and partially characterized. It appears to be composed of a single polypeptide (mol wt 68,000) which can be reversibly crystallized and dissociated by changes in the pH and ionic strength. When aggregated, the polypeptide forms oligomers which are arranged end-to-end into fibers. During the characterization of the polypeptide, it was found that the polypeptide's electrophoretic and immunological properties could be used as assays. Using these methods it was found that the polypeptide normally accumulates in a soluble form in the cytoplasm of wild-type Neurospora at the end of the log-phase of growth.     

Organization and expression of Drosophila tropomyosin genes

It has been shown (Jockusch &; Isenberg, 1981) that vinculin (130K protein) binds to actin and induces actin filaments to form bundles even at low ionic strength. Here, we present structural details on the vinculin molecule itself and on its interaction with actin. In negatively stained preparations, vinculin appeared as a globular protein with an average diameter of 85 Å. The ability of vinculin to form actin filament bundles was confirmed using shadowing techniques and gel analysis of sedimented material. Analysis of vinculin-induced paracrystals by optical diffraction and computer processing revealed their structural similarity to Mg-induced paracrystals. The lateral position of vinculin on surface-exposed actin filaments of such paracrystals was demonstrated directly in electron micrographs and indirectly by labelling vinculin with ferritin-coupled anti-vinculin F(ab′) fragments. Polymerization of actin in the presence of vinculin-coated polystyrene beads did not result in an “end-on” binding of filaments to the beads. Rather, actin bundles were laterally associated with the whole surface of the beads, from where they radiated in a star-like pattern. The growth of actin filaments onto myosin subfragment-I decorated, vinculin-incubated. fixed filament fragments was not inhibited, as was shown directly by electron microscopy and monitored viscometrically in a nucleation assay. These results suggest that in vivo at the site of an adhesion plaque vinculin may link actin filaments together into a suitable configuration to interact with the plasma membrane.     

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.     

A study on the structure of paracrystals of F-actin.

The structure of three types of paracrystals formed by a muscle protein, actin, was studied by electron microscopy using the technique of optical diffraction and filtering methods.The type I paracrystal of F-actin⁴ had a flat net structure and each thread of the net appeared to be made of a single double-stranded filament of F-actin. Its unit cell was rhombic with sides of about 340 Å in length. The narrower angle of the rhomb was about 30 °. A side of the rhomb corresponded to one repeating unit of F-actin. The cross-connecting point of the net appeared to occur at a cross-over point of the double helical F-actin filament when the paracrystal plane was observed perpendicularly. A set of parallel filaments running in one direction seem to simply overlie another set of parallel filaments running in another direction.The type II paracrystal also had a flat net structure with a unit cell of the same size and shape as type I, but had twice the amount of material in the unit cell in comparison with that of type I; a thread of type II was made of a pair of F-actin filaments. The type II paracrystal seemed to be made by attaching the F-actin filaments side-by-side to filaments of the type I paracrystal. These newly associated filaments cross-connected with each other in the same manner as those of the type I paracrystal.The type III paracrystal was a side-by-side aggregate of F-actin filaments. There was no lateral order between the neighbouring filaments.     

Interaction of aldolase with actin-containing filaments. Structural studies.

Electron micrographs of the paracrystals formed when fructose bisphosphate aldolase (EC 4.1.2.13) is added to actin-containing filaments were analysed by computer methods so that ultrastructural changes could be correlated with the various stoicheiometries of binding determined in the preceding paper [Walsh, Winzor, Clarke, Masters & Morton (1980) Biochem. J. 186, 89-98]. Paracrystals formed with aldolase and either F-actin or F-actin-tropomyosin have a single light transverse band every 38 nm, which is due to aldolase molecules cross-linking the filaments. In contrast, the paracrystals formed between aldolase and F-actin-tropomyosin-troponin filaments show two transverse bands every 38 nm: a major band, interpreted as aldolase binding to troponin, and a minor band, interpreted as aldolase cross-linking the filaments. The intensity of the minor band varies with Ca2+ concentration, being greatest when the Ca2+ concentration is low. A model for the different paracrystal structures which relates the various patterns and binding stoicheiometries to structural changes in the actin-containing filaments is proposed.     

Electron microscopic analysis of tropomyosin paracrystals.

Negatively stained images of divalent cation-induced tropomyosin paracrystals show polymorphic patterns which are almost bipolar. Although these bipolar forms are naturally due to antiparallel arrays of molecules, the precise molecular arrangements have not been clarified yet except in the case of one type of these polymorphic paracrystals by Stewart and McLachlan [(1976) J. Mol. Biol. 103, 251--269]. In the previous paper we showed that the lead-induced polar paracrystal is a parallel and in-register array of tropomyosin molecules. Moreover, we have made it possible to locate a given residue on the staining pattern. By overlapping two photographic transparencies of the polar paracrystal antiparallel, directly observed images of polymorphic bipolar paracrystals could be synthesized photographically with fidelity. The overlap length between N-terminals of antiparallel pairs of molecules could be easily determined without any assumptions. Next, we considered the stabilizing forces involved in the morphogenesis of such polymorphic paracrystals. The cation-bridged attractive forces already proposed by some groups were insufficient to account for the stability of some specific forms of tropomyosin paracrystals. From the primary amino acid sequence of tropomyosin, we calculated the changes of repulsive forces between the basic residues with changes of molecular overlap length between the N-terminals of antiparallel pairs. By setting the values of charge appropriately, we could account well for the stability of the polymorphic structures observed by electron microscopy.