Small angle x-ray scattering (SAXS) study of the extracellular Hemoglobin of Glossoscolex paulistus: effect of pH, iron oxidation state, and interaction with anionic SDS surfactant

pH effects on the oligomeric structure of giant Glossoscolex paulistus extracellular hemoglobin in the oxyand met-forms have been studied as well as effects of the addition of anionic sodium dodecyl sulfate surfactant. A radius of gyration of 110 A is observed for a macromolecule. At 2 mm surfactant, the radius of gyration diminishes slightly for the oxy-form. However, the extrapolated initial scattering intensity (I0) decreases a factor of 2.5, indicating protein dissociation. At 20 mm surfactant, further I0 decrease is observed, with a reduction of radius of gyration to approximately 30 A consistent with dissociation into smaller subunits. At pH 9.0, the scattering curves are similar to that obtained for the protein in the presence of 20 mm surfactant at pH 7.0. A radius of gyration of approximately 35 A shows that the giant hemoglobin dissociation into small subunits also occurs at alkaline pH. From the I0 value, one can suggest that the tetramer is the main scatter at pH 9.0. At pH 7.0, the met-form dissociates to a larger extent at 2 mm surfactant as compared with the oxy-form, and the main scatters seem to be the 1/12 subunit. At pH 9.0, for the oxy-form, the addition of surfactant does not modify the scattering curve and a radius of gyration approximately 30 A is obtained, while for the met-form some kind of aggregation is observed. Our results give support to conclude that the iron oxidation state is an important factor modulating the oligomeric dissociation.     

Jamming and gelation of dense beta-casein micelle suspensions

The rheology of dense suspensions of beta-casein micelles is investigated at pH 6. For a given temperature, the viscosity increases dramatically at a critical concentration (Cc) of about 100 g/L due to jamming of the micelles. For a given concentration close to and above Cc, the viscosity of dense suspensions decreases strongly with increasing temperature because Cc increases. The suspensions show weak shear thickening followed by strong shear thinning. At lower pH, that is, closer to the isoelectric point, spontaneous gelation is observed, which is favored by lowering the temperature and addition of sodium polyphosphate. The gelation process is studied at pH 5.5 by rheology and light scattering.     

Structure of casein micelles studied by small-angle neutron scattering

The structure of casein micelles has been studied by small-angle neutron scattering and static light scattering. Alterations in structure upon variation of pH and scattering contrast, as well as after addition of chymosin, were investigated. The experimental data were analyzed by a model in which the casein micelle consists of spherical submicelles. This model gave good agreement with the data and gave an average micellar radius of about 100–120 nm and a submicellar radius of about 7 nm both with a polydispersity of about 40–50%. The contrast variation indicated that the scattering length density of the submicelles was largest at the center of the submicelles. The submicelles were found to be closely packed, the volume fraction varying slightly with pH. Upon addition of chymosin the submicellar structure remained unchanged within the experimental accuracy. Correspondence to: S. Hansen     

The ionization behavior of retinoic acid in aqueous environments and bound to serum albumin.

The ionization behavior of retinoic acid (RA) in an aqueous phase and when bound to bovine serum albumin was studied. Titrations of RA in the various phases were followed by monitoring the red shift in the absorption maximum of RA that occurred upon deprotonation. The apparent pK of RA was dependent on the concentration of this compound. At the concentration range 6-20 microM, the pK of RA in water had a value of approximately 8.0. As the concentration was decreased in the range 1-6 microM, the value of the pK decreased continuously. The lowest pK observed was approximately 6.0. It was concluded that RA in an aqueous phase at concentrations in the microM range, forms micelles, and that the values of the pK of RA monomers and micelles in water are less than 6.0 and 8.0, respectively. The presence of 0.15 M NaCl caused a decrease in the pK of RA micelles and lowered the value of the CMC. Titration of RA in the presence of bovine serum albumin revealed the presence of a heterogeneous population comprised of three distinct microenvironments for RA associated with this protein. Two populations of RA were found to undergo complete titration in the pH range 4-8. A third population became apparent at pH greater than 9.5.     

Small angle x-ray scattering of chromatin. Radius and mass per unit length depend on linker length.

Analyses of low angle x-ray scattering from chromatin, isolated by identical procedures but from different species, indicate that fiber diameter and number of nucleosomes per unit length increase with the amount of nucleosome linker DNA. Experiments were conducted at physiological ionic strength to obtain parameters reflecting the structure most likely present in living cells. Guinier analyses were performed on scattering from solutions of soluble chromatin from Necturus maculosus erythrocytes (linker length 48 bp), chicken erythrocytes (linker length 64 bp), and Thyone briareus sperm (linker length 87 bp). The results were extrapolated to infinite dilution to eliminate interparticle contributions to the scattering. Cross-sectional radii of gyration were found to be 10.9 +/- 0.5, 12.1 +/- 0.4, and 15.9 +/- 0.5 nm for Necturus, chicken, and Thyone chromatin, respectively, which are consistent with fiber diameters of 30.8, 34.2, and 45.0 nm. Mass per unit lengths were found to be 6.9 +/- 0.5, 8.3 +/- 0.6, and 11.8 +/- 1.4 nucleosomes per 10 nm for Necturus, chicken, and Thyone chromatin, respectively. The geometrical consequences of the experimental mass per unit lengths and radii of gyration are consistent with a conserved interaction among nucleosomes. Cross-linking agents were found to have little effect on fiber external geometry, but significant effect on internal structure. The absolute values of fiber diameter and mass per unit length, and their dependencies upon linker length agree with the predictions of the double-helical crossed-linker model. A compilation of all published x-ray scattering data from the last decade indicates that the relationship between chromatin structure and linker length is consistent with data obtained by other investigators.     

Phase behaviour of lipid X

The phase behaviour of aqueous dispersions of lipid X, a precursor of bacterial lipopolysaccharides has been investigated by a variety of physico-chemical techniques. The results are consistent with the presence of disk-shaped micelles with an average diameter of 13 +/- 1.8 nm. The critical micellar concentration in water and physiological saline is 4 x 10(-5) M. Consistent with the formation of micelles in water and physiological saline is the finding that lipid X is in the liquid-crystalline state at temperatures higher than 0 degrees C. The packing and the dynamics of lipid X are characteristic of micelles. Close to the polar group the hydrocarbon chains are significantly more mobile and disordered than in the corresponding region of lipid bilayers. From monolayer studies an estimate of the molecular area of lipid X is derived; under physiological conditions the area/molecule is about 0.50 nm2 at 30 mN/m indicating that lipid X has a wedge-like shape. The two pK values of the primary phosphate group of lipid X are pK1 approximately 1.3 and pK2 = 8.2. At pH values less than 7, the area/molecule decreases, i.e. the packing of the lipid X molecules becomes tighter, and there is also a decrease in the solubility of lipid X. As is characteristic of charged lipids, the state of aggregation (phase behaviour) of lipid X depends on pH, the ionic strength and the nature of the counterion.     

An analysis by low-angle neutron scattering of the structure of the acetylcholine receptor from Torpedo californica in detergent solution.

The acetylcholine receptor from the electric tissue of Torpedo californica is a large, integral membrane protein containing four different types of polypeptide chains. The structure of the purified receptor in detergent solution has previously been investigated by sedimentation analysis and gel filtration. Sedimentation analysis yielded a molecular weight of 250,000 for the protein moiety of the receptor monomer-detergent complex; hydrodynamic characteristics such as the Stokes radius, however, refer to the receptor-detergent complex. In this paper we report the results of our use of low-angle neutron scattering to investigate the shape of the receptor-detergent (Triton X-100 from Rohm & Haas Co., Philadelphia, Pa.) complex and separately of its protein and detergent moieties. By adjustment of the neutron-scattering density of the solvent with D2O to match that of one or the other of the moieties, its contribution to the scattering can be nearly, if not completely, eliminated. Neutron scattering from Triton X-100 micelles established that this detergent is contrast matched in approximately 18% D2O. Scattering measurements on the receptor-detergent complex in this solvent yielded a radius of gyration of the acetylcholine receptor monomer of 46 +/- 1A. The radius of gyration and molecular volume (305,000 A3) of the receptor are inconsistent with a compact spherical shape. These parameters are consistent with, for example, a prolate cylinder of dimensions (length x diameter) approximately 150 x approximately 50 A or an oblate cylinder, approximately 25 x approximately 130 A. More complex shapes are possible and in fact seem to be required to reconcile the present results with previous electron microscopic and x-ray analyses of receptor in membrane and with considerations of the function of the receptor in controlling ion permeability. The neutron-scattering data yield, in addition, an independent determination of the molecular weight of the receptor protein (240,000 +/- 40,000), the extent of Triton X-100 binding in the complex (approximately 0.4 g/g protein), and from the extended scattering curve, an approximation to the shape of the receptor-Triton X-100 complex, namely an oblate ellipsoid of axial ratio 1:4.     

Characterization of a novel self-association of an alternating copolymer into nanotubes in solution

The characterization of the association of an alternating copolymer was performed using theoretical methods (quantum mechanics and molecular mechanics) and experimental methods (cryo-Transmission Electron Microscopy (cryo-TEM), neutron reflectivity and neutron scattering). The most stable conformation obtained for the self-association at pH 7 using theoretical methods is a tubular structure in which eight SMA molecules make one twist of a helix. The tubes can grow in length by continued regular stacking of benzene rings. The nanotubes have inner and outer diameters of about 28 and 41?Å, respectively. The hydrophobic groups are mainly located inside the tube and the hydrophilic groups are mainly on the exterior surface of the tube. They can also associate with themselves creating planes of aligned tubes, which can stack upon each other. The association of alternating copolymers into nanotubes is a novel self-association process.

The association of SMA octamers into a tubular structure at pH7 was confirmed experimentally by cryo-TEM and the nanotubes observed were several micrometers long. The shape as well as the inner and outer diameter of the nanotubes were also characterized by neutron scattering and the conformation at the air–water interface by neutron reflectivity.     

Effect of pH on the association behavior in aqueous solutions of pig gastric mucin

In this study, dynamic light scattering (DLS), turbidity, and rheo-small angle light scattering (rheo-SALS) methods have been utilized to examine the impact of pH (1 < or = pH < or = 7) on aqueous solutions of noncommercial purified pig gastric mucin. The asymmetric flow field-flow fractionation (AFFFF) measurements established that the mucin sample has a high molecular weight and is polydisperse. DLS measurements on dilute solutions of mucin disclosed large interchain aggregates at pH 2, where the polymer has a low charge density or is uncharged. At lower or higher values of pH, mucin is charged and the tendency of forming interpolymer complexes is affected. In the semidilute concentration regime, pronounced junction zones ('lumps' of polymer) are evolved and a heterogeneous connected network is formed at pH 2, whereas the association structures are disintegrated (smaller 'lumps') at lower or higher pH values due to electrostatic repulsive interactions, and a more homogeneous network is evolved. The DLS and viscosity results at pH 1 indicate the development of a fragmented network, composed of contracted chains that are decorated by some positive charges. The effect of shear flow on the structure of semidilute solutions of mucin was investigated with the aid of rheo-SALS methods. The scattered intensity revealed a strong upturn at low values of the wave vector (q) for mucin solutions at pH 2 and pH 4, which suggests the evolution of large association domains. At these pH values, a flow-induced anisotropy in the 2D SALS patterns in the form of elliptical shapes was observed at high shear rates.     

The water permeability of toad urinary bladder. II. The value of Pf/Pd(w) for the antidiuretic hormone-induced water permeation pathway

Using the methods described in the preceding paper (Levine et al., 1984) for measuring the magnitude of the water-permeable barriers in series with the luminal membrane, we correct measured values of Pd(w) in bladders stimulated with low doses of antidiuretic hormone (ADH) or 8-bromo cyclic AMP to obtain their true values in the luminal membrane. Simultaneously, we also determine Pf. We thus are able to calculate Pf/Pd(w) for the hormone-induced water permeation pathway in the luminal membrane. Our finding is that Pf/Pd(w) approximately equal to 17. Two channel models consistent both with this value and the impermeability of the ADH-induced water permeation pathway to small nonelectrolytes are: (a) a long (approximately equal to 50 A), small- radius (approximately equal to 2 A) pore through which 17 water molecules pass in single-file array, and (b) a shower-head-like structure in which the stem is long and of large radius (approximately equal to 20 A) and the cap has numerous short, small-radius (approximately equal to 2 A) pores. A third possibility is that whereas the selective permeability to H2O results from small-radius (approximately equal to 2 A) pores, the large value of Pf/Pd(w) arises from their location in the walls of long tubular vesicles (approximately 2 micron in length and 0.1 micron in diameter) that are functionally part of the luminal membrane after having fused with it. Aggregate-containing tubular vesicles of these dimensions have been reported to fuse with the luminal membrane in response to ADH stimulation and have been implicated in the ADH-induced hydroosmotic response.     

Self-healing fish gelatin/sodium montmorillonite biohybrid coacervates: structural and rheological characterization

Complex coacervation driven by associative electrostatic interactions was studied in mixtures of exfoliated sodium-montmorillonite (Na(+)-MMT) nanoplatelets and fish gelatin, at a specific mixing ratio and room temperature. Structural and viscoelastic properties of the coacervate phase were investigated as a function of pH by means of different complementary techniques. Independent of the technique used, the results consistently showed that there is an optimum pH value at which the coacervate phase shows the tightest structure with highest elasticity. The solid-like coacervates showed an obvious shear-thinning behavior and network fracture but immediately recovered back into their original elastic character upon removal of the shear strain. The nonlinear mechanical response characterized by single step stress relaxation experiments revealed the same trend for the yield stress and isochronal shear modulus of the coacervates as a function of pH with a maximum at pH 3.0 and lower values at 2.5 and 3.5 pHs, followed by a very sharp drop at pH 4.0. Finally, small-angle X-ray scattering (SAXS) data confirmed that at pHs lower than 4.0 the coacervate phases were dense and structured with a characteristic length scale (ξ(SAXS)) of ~7-9 nm. Comparing the ξ(SAXS) with rheological characteristic length (ξ(rheol)) estimated from low-frequency linear viscoelastic data and network theory, it was concluded that both the strength of the electrostatic interactions and the conformation of the gelatin chains before and during of the coacervation process are responsible for the structure and rigidity of the coacervates.     

Clathrin triskelia show evidence of molecular flexibility

The clathrin triskelion, which is a three-legged pinwheel-shaped heteropolymer, is a major component in the protein coats of certain post-Golgi and endocytic vesicles. At low pH, or at physiological pH in the presence of assembly proteins, triskelia will self-assemble to form a closed clathrin cage, or “basket”. Recent static light scattering and dynamic light scattering studies of triskelia in solution showed that an individual triskelion has an intrinsic pucker similar to, but differing from, that inferred from a high resolution cryoEM structure of a triskelion in a clathrin basket. We extend the earlier solution studies by performing small-angle neutron scattering (SANS) experiments on isolated triskelia, allowing us to examine a higher q range than that probed by static light scattering. Results of the SANS measurements are consistent with the light scattering measurements, but show a shoulder in the scattering function at intermediate q values (0.016 Å⁻¹), just beyond the Guinier regime. This feature can be accounted for by Brownian dynamics simulations based on flexible bead-spring models of a triskelion, which generate time-averaged scattering functions. Calculated scattering profiles are in good agreement with the experimental SANS profiles when the persistence length of the assumed semiflexible triskelion is close to that previously estimated from the analysis of electron micrographs.     

Molecular morphology of the tetrodotoxin-binding sodium channel protein from Electrophorus electricus in solubilized and reconstituted preparations

The appearance of detergent-solubilized voltage-regulated sodium channel protein was recently characterized by this laboratory. Negative-staining revealed rod-shaped particles measuring 40 X 170 A. Further studies have suggested that the actual configuration of this protein may be quite different from the rod-shaped structures. Freeze-fracture and freeze-etch images of the protein in reconstituted membranes indicated that the channel is cylindrical with a diameter of 100 A and a minimum length of 80 A. Experiments with two detergent systems (Lubrol-PX and sodium cholate) enabled us to explain the discrepancy between this structure and the rod-shaped particles visualized earlier. Negative staining in either detergent at low pH (4.5) produced rod-shaped structures. As the pH was increased, doughnut-shaped particles, consistent with the structure of the protein in freeze-etch, appeared in negative stain. The tendency of the protein to change shape under different pH conditions appears to be a peculiar property of this protein.     

Spread monomolecular films of monohydroxy bile acids and their salts: influence of hydroxyl position, bulk pH, and association with phosphatidylcholine

Undissociated dihydroxy bile acids, alone or with 1-palmitoyl-2-oleoyl-sn-glycero-3-phosphocholine (POPC), lie with their long axes parallel to aqueous-lipid interfaces [Fahey, D. A., Carey, M. C., and Donovan, J. M. (1995) Biochemistry 34, 10886-10897]. To test the generality of this orientation, we used an automated Langmuir-Pockels surface balance to examine pressure-molecular area isotherms and dipole moments of insoluble monohydroxy bile acids and their salts, which are sparingly soluble because of their presumed high Krafft points. We studied lithocholic acid (LCA) (the natural 3alpha-OH isomer), glycolithocholic acid (GLCA) (its glycine conjugate), and the semisynthetic isomers, 7alpha-OH- and 12alpha-OH-cholanoic acids with and without POPC, at pH values ranging from 2 to 12. Monolayer collapse pressures increased sigmoidally with ionization, giving apparent pK values of 7.0-8.5 and implying a stronger affinity of the bile salt anions for the interface. At monolayer collapse, the molecular area of LCA was approximately 85 A(2) independent of pH, consistent with the steroid nucleus lying flat. In contrast, the interfacial area of 7-OH-cholanoic acid decreased from approximately 80 A(2) at pH 2 to approximately 40 A(2) above pH 9, consistent with a more vertical orientation and approximating 12-OH-cholanoic acid, which exhibited a molecular area of approximately 45 A(2) at all pH values. All monohydroxy bile acids condensed POPC monolayers more effectively at low than at high (ionized) pH. We conclude that the 3-OH group is crucial for anchoring bile acids and their salts to the aqueous interface, with all monohydroxy species condensing phospholipid membranes regardless of ionization state.     

Neutron scattering in the plane of membranes: structure of alamethicin pores.

A technique of neutron in-plane scattering for studying the structures of peptide pores in membranes is described. Alamethicin in the inserted state was prepared and undeuterated and deuterated dilauroyl phosphatidylcholine (DLPC) hydrated with D2O or H2O. Neutron in-plane scattering showed a strong dependence on deuteration, clearly indicating that water is a part of the high-order structure of inserted alamethicin. The data are consistent with the simple barrel-stave model originally proposed by Baumann and Mueller. The theoretical curves computed with this model at four different deuteration conditions agree with the data in all cases. Both the diameter of the water pore and the effective outside diameter of the channel are determined accurately. Alamethicin forms pores in a narrow range of size. In a given sample condition, > 70% of the peptide forms pores of n and n +/- 1 monomers. The pore size varies with hydration and with lipid. In DLPC, the pores are made of n = 8-9 monomers, with a water pore approximately 18 A in diameter and with an effective outside diameter of approximately 40 A. In diphytanoyl phosphatidylcholine, the pores are made of n approximately 11 monomers, with a water pore approximately 26 A in diameter, with an effective outside diameter of approximately 50 A.     

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.     

Mechanism of thioflavin T binding to amyloid fibrils

Thioflavin T is a benzothiazole dye that exhibits enhanced fluorescence upon binding to amyloid fibrils and is commonly used to diagnose amyloid fibrils, both ex vivo and in vitro. In aqueous solutions, thioflavin T was found to exist as micelles at concentrations commonly used to monitor fibrils by fluorescence assay ( approximately 10-20 microM). Specific conductivity changes were measured at varying concentration of thioflavin T and the critical micellar concentration was calculated to be 4.0+/-0.5 microM. Interestingly, changes in the fluorescence excitation and emission of thioflavin T were also dependent on the micelle formation. The thioflavin T micelles of 3 nm diameter were directly visualized using atomic force microscopy, and bound thioflavin T micelles were observed along the fibril length for representative fibrils. Increasing concentration of thioflavin T above the critical micellar concentration shows increased numbers of micelles bound along the length of the amyloid fibrils. Thioflavin T micelles were disrupted at low pH as observed by atomic force microscopy and fluorescence enhancement upon binding of thioflavin T to amyloid fibrils also reduced by several-fold upon decreasing the pH to below 3. This suggests that positive charge on the thioflavin T molecule has a role in its micelle formation that then bind the amyloid fibrils. Our data suggests that the micelles of thioflavin T bind amyloid fibrils leading to enhancement of fluorescence emission.     

Ultrasonic storage modulus as a novel parameter for analyzing protein-protein interactions in high protein concentration solutions: correlation with static and dynamic light scattering measurements

The purpose of this work was to establish ultrasonic storage modulus (G') as a novel parameter for characterizing protein-protein interactions (PPI) in high concentration protein solutions. Using an indigenously developed ultrasonic shear rheometer, G' for 20-120 mg/ml solutions of a monoclonal antibody (IgG(2)), between pH 3.0 and 9.0 at 4 mM ionic strength, was measured at frequency of 10 MHz. Our understanding of ultrasonic rheology indicated decrease in repulsive and increase in attractive PPI with increasing solution pH. To confirm this behavior, dynamic (DLS) and static (SLS) light scattering measurements were conducted in dilute solutions. Due to technical limitations, light scattering measurements could not be conducted in concentrated solutions. Mutual-diffusion coefficient, measured by DLS, increased with IgG(2) concentration at pH 4.0 and this trend reversed as pH was increased to 9.0. Second virial coefficient, measured by SLS, decreased with increasing pH. These observations were consistent with the nature of PPI understood from G' measurements. Ultrasonic rheology, DLS, and SLS measurements were also conducted under conditions of increased ionic strength. The consistency between rheology and light scattering analysis under various solution conditions established the utility of ultrasonic G' measurements as a novel tool for analyzing PPI in high protein concentration systems.     

Salt-dependent DNA superhelix diameter studied by small angle neutron scattering measurements and Monte Carlo simulations.

Using small angle neutron scattering we have measured the static form factor of two different superhelical DNAs, p1868 (1868 bp) and pUC18 (2686 bp), in dilute aqueous solution at salt concentrations between 0 and 1.5 M Na+ in 10 mM Tris at 0% and 100% D2O. For both DNA molecules, the theoretical static form factor was also calculated from an ensemble of Monte Carlo configurations generated by a previously described model. Simulated and measured form factors of both DNAs showed the same behavior between 10 and 100 mM salt concentration: An undulation in the scattering curve at a momentum transfer q = 0.5 nm-1 present at lower concentration disappears above 100 mM. The position of the undulation corresponds to a distance of approximately 10-20 nm. This indicated a change in the DNA superhelix diameter, as the undulation is not present in the scattering curve of the relaxed DNA. From the measured scattering curves of superhelical DNA we estimated the superhelix diameter as a function of Na+ concentration by a quantitative comparison with the scattering curve of relaxed DNA. The ratio of the scattering curves of superhelical and relaxed DNA is very similar to the form factor of a pair of point scatterers. We concluded that the distance of this pair corresponds to the interstrand separation in the superhelix. The computed superhelix diameter of 16.0 +/- 0.9 nm at 10 mM decreased to 9.0 +/- 0.7 nm at 100 mM salt concentration. Measured and simulated scattering curves agreed almost quantitatively, therefore we also calculated the superhelix diameter from the simulated conformations. It decreased from 18.0 +/- 1.5 nm at 10 mM to 9.4 +/- 1.5 nm at 100 mM salt concentration. This value did not significantly change to lower values at higher Na+ concentration, in agreement with results obtained by electron microscopy, scanning force microscopy imaging in aqueous solution, and recent MC simulations, but in contrast to the observation of a lateral collapse of the DNA superhelix as indicated by cryo-electron microscopy studies.