Energetics of superhelicity and of B-Z transitions in superhelical DNA

The linking difference, alpha, imposed upon a superhelically constrained DNA molecule must be partitioned between twisting and bending deformations. Transitions to alternative secondary structures can occur at susceptible sites, altering the local molecular twist by an amount delta Twtrans. That part of the linking difference not accommodated in this way, the residual linking difference alpha res, must be manifested as smooth torsional and flexural deformations of secondary structure. The competition among the alternative ways of accommodating the imposed linking difference alpha determines a stressed equilibrium state. The superhelical free energy, G(alpha), is the excess free energy of the equilibrium state at linking difference alpha above that of the relaxed state under identical conditions. In this paper a method is described by which the free energies associated both to linking, G(alpha), and to residual linking differences can be determined from data on superhelical conformational transitions. The application of this approach to previously published experimental data on the B-Z transition suggests that the free energy associated with alpha res is about 30% larger at substantial superhelicities than it is near the relaxed state. At the onset of transition the functional form of G(alpha) is shown to change in a manner dependent upon the length of the Z-susceptible site.     

The Energetics of the B-Z Transition in DNA

Abstract

The paper deals with the energetics of the transition to left-handed Z form in DNA with an arbitrary base sequence. There is a brief outline of the statistical-mechanical model of the B-Z transition allowing for three possible states of each base pair. The parameters of the model can be determined by comparing the theory with experimental data for the B-Z transition in inserts with given sequences in circular DNA The model contains six energy parameters, most of which have been determined before. In order to find the remaining parameters of the model and test its adequacy, a number of oligonucleotide sequences were synthesized and inserted into the pUC 19 plasmid. Two-dimensional gel electrophoresis was used to determine the superhelical density at which the inserts adopt the Z form. A statistical-mechanical treatment of these data yielded a complete set of six energy parameters for the B-Z transition. The theoretical assumption that the free energy of Z-form pairs does not depend on the type of adjacent pairs proved to be in agreement with the experimental data.     

Extrusion of an imperfect palindrome to a cruciform in superhelical DNA: complete determination of energetics using a statistical mechanical model

We present a detailed study of the extrusion of an imperfect palindrome, derived from the terminal regions of vaccinia virus DNA and contained in a superhelical plasmid, into a cruciform containing bulged bases. We monitor the course of extrusion by two-dimensional gel electrophoresis experiments as a function of temperature and linking number. We find that extrusion pauses at partially extruded states as negative superhelicity increases. To understand the course of extrusion with changes in linking number, DeltaLk, we present a rigorous semiempirical statistical mechanical analysis that includes complete coupling between DeltaLk, cruciform extrusion, formation of extrahelical bases, and temperature-dependent denaturation. The imperfections in the palindrome are sequentially incorporated into the cruciform arms as hairpin loops, single unpaired bases, and complex local regions containing several unpaired bases. We analyze the results to determine the free energies, enthalpies and entropies of formation of all local structures involved in extrusion. We find that, for each unpaired structure, the DeltaG, DeltaH and DeltaS of formation are all approximately proportional to the number of unpaired bases contained therein. This surprising result holds regardless of the arrangement or composition of unpaired bases within a particular structure. Imperfections have major effects on the overall energetics of cruciform extrusion and on the course of this transition. In particular, the extent of the DeltaLk change necessary to extrude an imperfect palindrome is considerably greater than that required for extrusion of the underlying perfect palindrome. Our analysis also suggests that, at higher temperatures, significant denaturation at the base of an imperfect cruciform can successfully compete with extension of the cruciform arms.     

Changes of hydration during conformational transitions of DNA

Fiber X-ray diffraction and measurement of fiber dimensions yields information about the hydration of DNA in fibers. The results obtained give us the fraction of nucleotides in the B form for the A-B transition or the rate of progression for the B-C transition as functions of the number of water molecules per nucleotide. The present experimental results confirm the importance of cooperativity in the A-B transition and the progressive change of the DNA double helix conformation during the C-B transition. At least twenty additional water molecules per nucleotide are necessary to stabilize the B form for DNA molecules in fibers following the A to B transition whereas only ten are sufficient when the B conformation is obtained starting from the C form. Offprint requests to: S. Premilat     

Energetics of the strand separation transition in superhelical DNA.

In this paper the values of three free energy parameters governing the superhelical strand separation transition are determined by analysis of available experimental data. These are the free energy, a, needed to initiate a run of separation, the torsional stiffness, C, associated with interstrand winding of the two single strands comprising a separated site and the coefficient, K, of the quadratic free energy associated to residual linking. The experimental data used in this analysis are the locations and relative amounts of strand separation occurring in the pBR322 DNA molecule and the measured residual linking, both evaluated over a range of negative linking differences. The analytic method used treats strand separation as a heteropolymeric, co-operative, two-state transition to a torsionally deformable alternative conformation, which takes place in a circular DNA molecule constrained by the constancy of its linking number. The values determined for these parameters under the experimental conditions (T = 310 K, pH = 7.0, monovalent cation concentration = 0.01 M) are a = 10.84(+/- 0.2) kcal/mol, C = 2.5(+/- 0.3) x 10(-13) erg/rad2 and K = 2350(+/- 80) RT/N, where N is the molecular length in base-pairs. In order to assess the accuracy of the author's theoretical methods, these free energy parameters are incorporated into the analysis of superhelical strand separation in different molecules and under other conditions than those used in their evaluation. First, the temperature dependence of transition is treated, then superhelical strand separation is analyzed in a series of DNA molecules having systematic sequence modifications, and the results of these theoretical analyses are compared with those from experiments. In all molecules, transition is predicted in the range of linking differences where it is seen experimentally. Moreover, it occurs at the specific sequence locations that the analysis predicts, and with approximately the predicted relative amounts of transition at each location. The known sensitivities of this transition to changes of temperature and to small sequence modifications are predicted in a quantitatively precise manner by the theoretical results. The demonstrated high-level precision of these theoretical methods provides a tool for the screening of DNA sequences for sites susceptible to superhelical strand separation, some of which may have regulatory or other biological significance.     

Thermostability and superhelicity of plasmid DNA in Bacillus stearothermophilus

Summary The thermostability of the staphylococcal plasmids pC194 and pUB110 and their antibiotic-resistance determinants was examined upon transfer to Bacillus stearothermophilus CU21. Plasmid pGS13, a pUB110 derivative carrying the chloramphenicol acetyltransferase (CAT) gene of pC194, could be maintained up to the maximum growth temperature (68° C) by selection for chloramphenicol resistance. In the absence of selective pressure, pGS13 was lost at temperatures above 60° C. Segregational instability of pGS13 was accompanied by a progressive loss of negative superhelicity at elevated temperatures. Thermostable mutants of pGS13 were isolated by screening for expression of the antibiotic-resistance determinants after growth under non-selective conditions. These mutants were found to contain an insertion of a 1.7 kb DNA sequence derived from the cryptic B. stearothermophilus plasmid pBS02. Increased thermostability correlated with preservation of plasmid superhelicity at elevated temperatures.     

Conformational transitions of a synthetic DNA poly(dA-dU). poly(dA-dU) in concentrated solutions of caesium fluoride

Chiroptical properties of poly(dA-dU).poly(dA-dU) were studied in concentrated NaCl and CsF solutions to reveal the role of the alternating B conformation in the CsF-induced alternating B-X conformational transition of poly(dA-dT).poly(dA-dT). Poly(dA-dU).poly(dA-dU) has been chosen for this purpose because it has, instead of the alternating B conformation, a regular conformation like poly(dG-dC).poly(dG-dC) in low-salt solution. It was found that poly(dA-dU).poly(dA-dU) did not assume that Z form at high NaCl concentrations but exhibited extensive CsF-induced changes in the circular dichroism spectra like poly(dA-dT).poly(dA-dT). The changes of reflect two consecutive two-state conformational transitions of the polynucleotide, both taking place with fast kinetics and low cooperativity. The transition were interpreted as involving the regular and alternating B conformation at lower CsF concentrations and the alternating B and X conformation at higher CsF concentrations. A comparison of the behaviour of poly(dA-dU).poly(dA-dU) and poly(dA-dT).poly(dA-dT) in CsF solutions demonstrates that the thymine methyl groups promote the X form but are not crucial for its existence. On the other hand, the alternating B conformation appears to be the inevitable starting structure for DNA isomerization into the X form.     

Energetics of B-Z junction formation in a sixteen base-pair duplex DNA

We report analysis of the NaCl-induced B-Z transition in a 16 base-pair duplex DNA with sequence designed such that when NaCl is increased the left half of the molecule undergoes the B-Z transition while the right half remains in the B-form. An equilibrium thermodynamic model based on the body of available published experimental data and the recent theoretical work of Soumpasis, which indicate, in the salt range above approximately 0.9 M-NaCl, the transition free-energy of B-Z conversion in DNA is a linear function of the NaCl concentration, is employed. Analysis of the B-Z transition of the junction-containing molecule indicates the B-Z junction formed in this 16 base-pair DNA is composed of approximately three base-pairs and has a free energy of formation of approximately 4.7 kcal/mol junction. These values for the junction are in excellent agreement with published estimates of B-Z junction size and energy derived from much longer DNA pieces.     

Disorder transitions and conformational diversity cooperatively modulate biological function in proteins

Structural differences between conformers sustain protein biological function. Here, we studied in a large dataset of 745 intrinsically disordered proteins, how ordered‐disordered transitions modulate structural differences between conformers as derived from crystallographic data. We found that almost 50% of the proteins studied show no transitions and have low conformational diversity while the rest show transitions and a higher conformational diversity. In this last subset, 60% of the proteins become more ordered after ligand binding, while 40% more disordered. As protein conformational diversity is inherently connected with protein function our analysis suggests differences in structure‐function relationships related to order‐disorder transitions.     

Electrostatic effects in short superhelical DNA

We present Monte Carlo simulations of the equilibrium configurations of short closed circular DNA that obeys a combined elastic, hard-sphere, and electrostatic energy potential. We employ a B-spline representation to model chain configuration and simulate the effects of salt on chain folding by varying the Debye screening parameter. We obtain global equilibrium configurations of closed circular DNA, with several imposed linking number differences, at two salt concentrations (specifically at the extremes of no added salt and the high salt regime), and for different chain lengths. Minimization of the composite elastic/long-range potential energy under the constraints of ring closure and fixed chain length is found to produce structures that are consistent with the configurations of short supercoiled DNA observed experimentally. The structures generated under the constraints of an electrostatic potential are less compact than those subjected only to an elastic term and a hard-sphere constraint. For a fixed linking number difference greater than a critical value, the interwound structures obtained under the condition of high salt are more compact than those obtained under the condition of no added salt. In the case of no added salt, the electrostatic energy plays a dominant role over the elastic energy in dictating the shape of the closed circular DNA. The DNA supercoil opens up with increasing chain length at low salt concentration. A branched three-leaf rose structure with a fixed linking number difference is higher in energy than the interwound form at both salt concentrations employed here.     

Competing B-Z and helix-coil conformational transitions in supercoiled plasmid DNA.

The formation of melted regions from A + T-rich sequences and left-handed Z-DNA by alternating purine-pyrimidine sequences will both be facilitated by negative supercoiling, and thus if the sequences are present within the same plasmid molecule they will compete for the free energy of supercoiling. We have studied a series of plasmids that contain either (CG)8 or (TG)12 sequences in either G + C or A + T-rich contexts, by means of two-dimensional gel electrophoresis and chemical modification. We observe both B-Z and helix-coil transitions in all plasmids at elevated temperatures and low ionic strength. The plasmids fall into a number of different classes, in terms of the conformational behavior. As the superhelix density is increased, pCG8/vec ((CG)8 in G + C-rich context) undergoes an initial B-Z transition, followed by melting transitions in sequences remote from the (CG)8 sequence. The two transitions are coupled through the topology of the molecule but are otherwise independent. When the (CG)8 sequence was placed in an A + T-rich context (pCG8/col), the helix-coil transition was perturbed by the presence of the Z-DNA segment. Replacement of the (CG)8 tracts by (TG)12 sequences resulted in a further level of interaction between the transitions. Statistical mechanical modeling of the transitions suggested that at intermediate levels of negative supercoiling the Z-DNA formed by the (TG)12 sequence has a lowered probability due to the helix-coil transition in the A + T-rich sequences. These studies illustrate the complexities of competing conformational equilibria in supercoiled DNA molecules.     

Assembly of DNA onto the histone octamer facilitates the B-to-Z transition

Nucleosomal core particles containing the right- and left-handed conformations of DNA were examined for their ability to support the BZ or ZB transition. Nucleosomes were assembled onto the B- and Z-conformations of poly[d(Gm5C)] and the B-conformation of poly[d(GC)] as previously described (1). Absorbance and circular dichroic spectroscopy indicated that the DNA on all three core particle populations could undergo the conformational BZ transition. Further, the right- to left-handed transition for both poly[d(Gm5C)] and poly[d(GC)] appeared to be facilitated by the DNAs association with the histone octamer. The DNA remained associated with the protein core subsequent to the transition, and electron microscopy and sedimentation velocity analysis indicated that there were no gross changes in nucleosomal structure. However, a change in the sedimentation value of the poly[d(Gm5C)] core particles was detected when the conformation of the DNA was altered from B to Z, resulting in a lower S20,w value for the Z-form particles than for the corresponding B-form particles.     

Modelling DNA stretching for physics and biology

We have used internal coordinate molecular mechanics calculations to study how the DNA double helix deforms upon stretching. Results obtained for polymeric DNA under helical symmetry constraints suggest that two distinct forms, an unwound ribbon and a narrow fibre, can be formed as a function of which ends of the duplex are pulled. Similar results are also obtained with DNA oligomers. These experiments lead to force curves which exhibit a plateau as the conformational transition occurs. This behaviour is confirmed by applying an increasing force to DNA and observing a sudden length increase at a critical force value. It is finally shown some DNA binding proteins can also stretch DNA locally, to conformations related to those created by nanomanipulation.This revised version was published online in October 2005 with corrections to the Cover Date.     

Conformational stability of biological polyelectrolytes: Evaluation of enthalpy and entropy changes of conformational transitions

A new method is proposed for the determination of the enthalpy and entropy changes of nonionic origin upon conformational transition of linear biopolyelectrolytes in solution. For all transition midpoints, defined by given temperature and ionic strength, the total free energy change of the system is zero, which means that the nonionic contribution to the free energy change is equal in value and opposite in sign to the polyelectrolytic one. The counterion condensation theory of linear polyelectrolytes provides for the appropriate analytical expression to be used in such calculations. Linear plots of the proper functions of the calculated free energy changes vs the proper functions of temperature allows for the determination of the enthalpic and entropic terms of the nonionic free energy change of transition. The method has been applied to the extensive available data of the ion-induced conformational change of κ-carrageenan, a linear sulfated galactan extracted from seaweeds. The method has proved very successful, with the results showing a remarkable convergency of the enthalpy values for different monovalent counterions. On the other hand, the above approach has made it possible to explain the known effect of counterion specificity on the transition by a small difference in the nonionic entropic contributions. © 1998 John Wiley & Sons, Inc. Biopoly 45: 203–216, 1998     

Purification and characterization of a novel ATP-independent type I DNA topoisomerase from a marine methylotroph

DNA topoisomerase is involved in DNA repair and replication. In this study, a novel ATP-independent 30-kDa type I DNA topoisomerase was purified and characterized from a marine methylotroph, Methylophaga sp. strain 3. The purified enzyme composed of a single polypeptide was active over a broad range of temperature and pH. The enzyme was able to relax only negatively supercoiled DNA. Mg(2+) was required for its relaxation activity, while ATP gave no effect. The enzyme was clearly inhibited by camptothecin, ethidium bromide, and single-stranded DNA, but not by nalidixic acid and etoposide. Interestingly, the purified enzyme showed Mn(2+)-activated endonuclease activity on supercoiled DNA. The N-terminal sequence of the purified enzyme showed no homology with those of other type I enzymes. These results suggest that the purified enzyme is an ATP-independent type I DNA topoisomerase that has, for the first time, been characterized from a marine methylotroph.     

Strand separation in negatively supercoiled DNA

We consider Benham’s model for strand separation in negatively supercoiled circular DNA, and study denaturation as function of the linking difference density κ<0. We propose a statistical version of this model, based on bayesian segmentation methods of current use in bioinformatics; this leads to new algorithms with priors adapted to supercoiled DNA, taking into account the random nature of the free energies needed to denature base pairs.