Toroidal elastic supercoiling of DNA

Covalently closed circular DNA can exist in different configurations known as circular, toroidal, and interwound. Changes among these forms can be made in several ways, including the insertion of dye molecules between adjacent base pairs, which tends to untwist the double-helical structure. The aim of this paper is to discuss these configurations, and the changes among them, in the context of classical elastomechanics. The concepts of twisting, linkage and writhing are explained. Simple experiments on a twisted linear-elastic rod are described, and it is shown that although the circular and interwound forms may be modeled in this way, the toroidal form does not occur, being mechanically unstable. Theoretical energy calculations by Levitt on bent and twisted DNA show that DNA exhibits a particular kind of nonlinear elasticity in which there is an unusual coupling between bending and twisting. The aim of the paper is to show qualitatively that this special kind of elasticity can stabilize the toroidal form of closed circular DNA.     

Direct laser trapping of single DNA molecules in the globular state.

A sharply focused laser is able to trap small particles at the laser focal point due to the difference in refractive index of the particles and that of the surrounding medium. This technique, called laser trapping, can be used to manipulate animal or bacterial cells without any contact and has been widely applied in biological research. However, it has been difficult to trap biological macromolecules such as DNA molecules, because these molecules give a low difference in refractive index and cannot overcome Brownian motion. DNA molecules can be transformed to a condensed globular state. This transformation results in a higher refractive index of DNA due to its increased density. We demonstrate in this paper that a single DNA molecule can be optically trapped using a Nd:YAG laser (1064 nm wavelength) upon transformation from the coiled state to the globular state.     

On the toroidal condensed state of closed circular DNA

The influence of double helix torsional elasticity on the compaction and structure of circular DNA compact form is studied theoretically in the case when the compact (globular) form has torus shape. For closed circular DNA the topological invariant, the linking number, yields a strict connection between conformation of the double helix considered as unifilar homopolymer and elastic energy of torsional twisting. The contribution of torsional elasticity to the free energy of the toruslike globule is calculated. This contribution is shown to be proportional to the square of superhelical density. Allowance of the torsional elasticity decreases the equilibrium radius of the toruslike globule formed by circular DNA. Closure of linear DNA into a ring widens the stability range of the relatively short DNA compact form and tightens it for long DNA.     

Structural state of newly replicated closed circular simian virus 40 DNA.

We have studied the early transition of newly replicated, segregated daughter molecules of simian virus 40 (SV40) into their mature, fully supercoiled state. The DNA of SV40 replicating in African green monkey kidney CV1 cells was chronically labeled with [14C]thymidine and pulse-labeled with [3H]thymidine. The cells were lysed and the viral DNA was isolated. Density gradient centrifugation of viral DNA in cesium chloride revealed that the pulse-labeled, newly synthesized, closed circular supercoiled DNA molecules banded at a slightly higher density (delta sigma = 0.0025) than the chronically labeled DNA, suggesting that the newly completed molecules were in a different structural state. Electrophoresis of DNA in agarose gels at appropriate chloroquine concentrations demonstrated that the mobility of the pulse-labeled closed, superhelical DNA was retarded relative to that of the chronically labeled DNA. These observations indicated that the newly completed SV40 DNA molecules existed in a structural state more relaxed than that of mature DNA by one or two linking numbers.     

Determination of secondary structure of globular proteins using circular dichroism spectra

A ridge regression method is presented for prediction of the secondary structure of proteins by the circular dichroism spectra (CD) from 190 to 236 nm. Eight types of the secondary structure were calculated on a microcalculator. The method is based on the X-ray data of Kabsh and Sander. The teaching rule is constructed on CD spectra of 30 proteins of all structural classes of the globular proteins (alpha, alpha/beta, alpha + beta and beta-proteins). The errors of the methods are analysed by removing each protein from the reference set and analyzing its structure in terms of the remaining proteins. Correlation coefficients and root-mean square deviations between CD and X-ray data were: 0.99 and 0.03 for alpha-helix, 0.86 and 0.02 for 3(10)-helix, 0.92 and 0.06 for antiparallel beta-sheet, 0.86 and 0.03 for parallel beta-sheet, 0.94 and 0.01 for T3 beta-turn, 0.85 and 0.02 for other beta-turn, 0.84 and 0.03 for S-bends, 0.83 and 0.04 for "random" structure.     

On the Toroidal Condensed State of Closed Circular DNA

Abstract

The influence of double helix torsional elasticity on the compaction and structure of circular DNA compact form is studied theoretically in the case when the compact (globular) form has torus shape. For closed circular DNA the topological invariant, the linking number, yields a strict connection between conformation of the double helix considered as unifilar homopolymer and elastic energy of torsional twisting. The contribution of torsional elasticity to the free energy of the toruslike globule is calculated. This contribution is shown to be proportional to the square of superhelical density. Allowance of the torsional elasticity decreases the equilibrium radius of the toruslike globule formed by circular DNA. Closure of linear DNA into a ring widens the stability range of the relatively short DNA compact form and tightens it for long DNA.     

Mechanical denaturation of globular protein in the solid state

A method for taking stress-strain diagrams in microsamples prepared from glutaraldehyde-treated monocrystals and amorphous films of hen egg-white lysozyme has been developed. Analysis of the diagrams has shown that the deformation obeys Hooke's law within 0-2%. Upon further deformation of a crystalline sample (up to 6-10%), when a critical stress, sigma(cr), is reached, the protein molecules in the sample denature and become greatly extended. Depending on the crystal type and crystallographic direction, the sample length increases 2-4 times. The critical stress is essentially dependent on the factors affecting intra- and intermolecular interactions: temperature, hydration level and urea concentration. Mechanisms for mechanical denaturation are proposed.     

AS-48: a circular protein with an extremely stable globular structure

The unfolding thermodynamics of the circular enterocin protein AS-48, produced by Enterococcus faecalis, has been characterized by differential scanning calorimetry. The native structure of the 70-residue protein is extremely thermally stable. Thus, at pH 2.5 and low ionic strength thermal denaturation occurs under equilibrium at 102 degrees C, while the unfolded state irreversibly aggregates at neutral and alkaline pH. Calorimetric data analysis shows that the specific enthalpy change upon unfolding is unusually small and the heat capacity change is quite normal for a protein of this size, whereas the Gibbs energy change at 25 degrees C is relatively high. At least part of this high stability might be put down to entropic constraints induced by the circular organization of the polypeptide chain.     

Potential energy function for continuous state models of globular proteins.

One of the approaches to protein structure prediction is to obtain energy functions which can recognize the native conformation of a given sequence among a zoo of conformations. The discriminations can be done by assigning the lowest energy to the native conformation, with the guarantee that the native is in the zoo. Well-adjusted functions, then, can be used in the search for other (near-) natives. Here the aim is the discrimination at relatively high resolution (RMSD difference between the native and the closest nonnative is around 1 A) by pairwise energy potentials. The potential is trained using the experimentally determined native conformation of only one protein, instead of the usual large survey over many proteins. The novel feature is that the native structure is compared to a vastly wider and more challenging array of nonnative structures found not only by the usual threading procedure, but by wide-ranging local minimization of the potential. Because of this extremely demanding search, the native is very close to the apparent global minimum of the potential function. The global minimum property holds up for one other protein having 60% sequence identity, but its performance on completely dissimilar proteins is of course much weaker.     

Topologically non-linked circular duplex DNA

The discovery of circular DNA, over 30 years ago, introduced an element of uneasiness in what had been, up to that point, the almost picture-perfect story of the elucidation of the molecular biology of heredity. If DNA indeed has the Watson-Crick right-handed helical secondary structure, then in circular DNA, thousands, or perhaps even millions of twists must be removed in each generation, and re-wound in the next generation. Although enzyme systems adequate for this task have long since been found and characterized, there have nevertheless arisen a number of proposals for alternative DNA structures in which the strands are topologically non-linked, so that they might separate during replication without having to be unwound. These structures have generally been put forth as theory only, and have been largely unaccompanied by experimental evidence to support their applicability to native DNA from living systems. Recently, however, a report has emerged suggesting that it might be possible to separate, intact, the individual single-stranded circular half-chromosomes which constitute the double-stranded circular chromosomes of certain plasmids. This would not be possible unless the chromosomes had one of the alternative, topologically non-linked structures. It is widely believed that after a half-century of worldwide DNA research, any significant change to the Watson-Crick structure is unlikely to stand up to scrutiny. Nevertheless, the present author has found that in many instances in which the behavior of circular duplex DNA is considered to be explicable only in terms of the topologically linked helical model, it is also possible to explain that same behavior in terms of a topologically non-linked model. It is necessary, in these instances, to make certain logical assumptions which cannot be conclusively proven at the present time. The author herein offers an example of one such instance, namely an examination of the behavior of circular duplex DNA in an alkaline titration experiment, where conformational changes in DNA are deduced from changes in its buoyant density at pH’s between 7 and 14. These data have been explained in terms of topological linkage between the DNA strands, but they can also be explained without invoking any such topological linkage, provided that the above-mentioned logical assumptions can be accepted. The principles which emerge from this are applicable to other settings in which knowledge of the topology of DNA is critical to the understanding of observed phenomena.     

Binding of globular proteins to DNA from surface tension measurement

Extent of binding (gammap) of globular proteins to calf-thymus DNA have been measured in mole per mole of nucleotide as function of equilibrium protein concentration. We have exploited measurement of the surface tension of the protein solution in the presence and absence of DNA to calculate the binding ration (gammap). Interaction of bovine serum albumin with DNA has been studied at different pH. Interaction of bovine serum albumin with DNA has been studied at different pH, ionic strength and in presence of Ca2+. Interaction of BSA with denatured DNA has also been investigated. Binding isotherms for other globular proteins like beta-lactoglobulin, alpha-lactalbumin and lysozyme have been compared under identical physicochemical condition. It has been noted with considerable interest that globular form of protein is important to some extent in protein-DNA interaction. An attempt has been made to explain the significance of difference in binding ratios of these two biopolymers in aqueous medium for different systems in the light of electrostatic and hydrophobic effects. Values of maximum binding ration (gammap(m)) at saturated level for different systems have been also presented. The Gibb's free energy decrease (-deltaG0) of the binding of proteins to DNA has been compared more precisely for the saturation of binding sites in the DNA with the change of activity of protein in solution from zero to unity in the rational mole fraction scale.     

The topology of circular DNA]

A non-orientable structure, said M?bius stripe, is proposed for certain types of circular DNA. This structure could account for particular forms, such as dimers, double length molecules, or catenans which are molecules topologically interwomen. On the other hand, it is suggested that a second structure derived from the same principal of non-orientability could have gendered the dynamics of DNA replication at the origin of life: this is hypothesis of archetype M?bius strip.     

Modifications of circular DNA by photoalkylation

The effects of photoalkylation on superhelical PM2 DNA were examined. The chief product was 8-(2-hydroxy-2-propyl)guanine, formed exclusively in sequences of alternating purines and pyrimidines. Other purine damages included 8-(2-hydroxy-2-propyl)adenine and smaller quantities of two uncharacterized adenine products. DNA strand breaks were formed with increasing irradiation. A small quantity of thymine-containing photodimers was formed. Photoalkylation of poly(dG-dC):poly(dG-dC) reduced the concentration of salt required to effect inversion of the circular dichroic spectrum. This suggests that photoalkylation induces the transition of poly(dG-dC):poly(dG-dC) from the right-handed B form of DNA to the left-handed Z form.     

Characterization of dry globular proteins and protein fibrils by synchrotron radiation vacuum UV circular dichroism

Circular dichroism using synchrotron radiation (SRCD) can extend the spectral range down to approximately 130 nm for dry proteins, potentially providing new structural information. Using a selection of dried model proteins, including alpha-helical, beta-sheet, and mixed-structure proteins, we observe a low-wavelength band in the range 130-160 nm, whose intensity and peak position is sensitive to the secondary structure of the protein and may also reflect changes in super-secondary structure. This band has previously been observed for peptides but not for globular proteins, and is compatible with previously published theoretical calculations related to pi-orbital transitions. We also show that drying does not lead to large changes in the secondary structure and does not induce orientational artifacts. In combination with principal component analysis, our SRCD data allow us to distinguish between two different types of protein fibrils, highlighting that bona fide fibrils formed by lysozyme are structurally more similar to the nonclassical fibrillar aggregates formed by the SerADan peptide than with the amyloid formed by alpha-synuclein. Thus, despite the lack of direct structural conclusions, a comprehensive SRCD-based database of dried protein spectra may provide a useful method to differentiate between various types of supersecondary structure and aggregated protein species.     

Cyclization of globular DNA. Implications for DNA-DNA interactions in vivo

The rate of cyclization of lambda DNA varies over more than 6 orders of magnitude, from 3.2 x 10(-7) s-1 to 2 s-1, in a Tris-EDTA buffer as a function of spermidine concentration. This variation is strictly correlated with the conformation of the chain. The highest rates are obtained when the chain is collapsed into a dense globular state. The effective concentration of the chain ends in the reaction is then 87 000-fold greater than in the random coil state. These results show that DNA globularity must be taken into account to understand biological processes involving intramolecular DNA-DNA interactions.     

Small circular DNA in Drosophila melanogaster

Covalently closed small circular DNA isolated from Drosophila melanogaster is described. The small circular DNA is found in blastema stage eggs and in Schneider's cell culture line 2 and a cloned subline of line 2. It is heterogeneous in size, although the size distributions and mean sizes differ for each source. The small circular DNA from Schneider's line 2 cells ranges from 0.09-7.3 μm, with a mean contour length of 1.1 μm. This DNA has a buoyant density of 1.703 g/cc and appears to be present predominantly in the nuclear fraction of detergent-disrupted cells. The restriction enzyme EcoRI cleaves approximately 40% of the small circular DNA with a bias toward the larger size classes.Both logarithmic and stationary phase cells contain approximately 3–40 average sized small circular DNA molecules per cell, representing a maximum of 0.03% of the total cellular DNA. Exposure to cycloheximide or puromycin for 14 hr results in a 30 fold increase in the number of small circles per cell, but reduces the mean length of the circular DNA to 0.3 μm. The drug-amplified DNA has a buoyant density in the range of 1.698-1.703 g/cc. No amplification was seen in cells treated with either inhibitor for 3.5 hr. Ethidium bromide, cytosine arabinoside, β-ecdysone, and insulin all had no significant effect on the amount per cell of either small circular DNA or mitochondrial DNA.     

Replicating circular DNA molecules in yeast

The yeast Saccharomyces cerevisiae contains a class of small circular DNA molecules, approximately 2 μm in contour length (Sinclair et al., 1967). In this report, it is shown that these molecules replicate as double-branched circles, similar to those observed during replication of the bacteriophage λ and Escherichia coli chromosomes. A normal rate of replication of these DNA circles requires the function of a nuclear gene, cdc 8.     

A circular dichroism study on thermal denaturation of a dimeric globular protein, Streptomyces subtilisin inhibitor

Thermal denaturation of Streptomyces subtilisin inhibitor was studied by means of circular dichroism (CD) measurements in the far-UV and near-UV regions. The denaturation was found to be largely reversible; the partial irreversibility was associated with a slight loss of the inhibitory activity. Difference CD spectra in the far-UV region clarified the existence of two distinct steps in the thermal transition of the secondary structure. The first step below 80 degrees C is attributable to a partial conformational change in the alpha-helix portion, whereas the second step between 80 degrees C and 94 degrees C is attributable to a major conformational change involving the beta-sheet portion. On the assumption that the major denaturation involves dissociation of the SSI into its subunits, the enthalpy and entropy changes were determined to be 216 kcal X mol-1 and to be 603 cal X deg-1 X mol-1, respectively.