The influence of tertiary structural restraints on conformational transitions in superhelical DNA.

This paper examines theoretically the effects that restraints on the tertiary structure of a superhelical DNA domain exert on the energetics of linking and the onset of conformational transitions. The most important tertiary constraint arises from the nucleosomal winding of genomic DNA in vivo. Conformational transitions are shown to occur at equilibrium at less extreme superhelicities in DNA whose tertiary structure is restrained than in unrestrained molecules where the residual linking difference alpha res (that part of the superhelical deformation which is not absorbed by transitions) may be freely partitioned between twisting and bending. In the extreme case of a rigidly held tertiary structure, this analysis predicts that the B-Z transition will occur at roughly half the superhelix density needed to drive the same transition in solution, other factors remaining fixed. This suggests that superhelical transitions may occur at more moderate superhelical deformations in vivo than in solution. The influence on transition behavior of the tertiary structural restraints imposed by gel conditions also are discussed.     

Stochastic distribution of a short region of Z-DNA within a long repeated sequence in negatively supercoiled plasmids

We have analyzed, at nucleotide resolution, the progress of the B-to-Z transition as a function of superhelical density in a 2.2-kilobase plasmid containing the sequence d(C-A)31.d(T-G)31. The transition was monitored by means of reactivity to two chemical probes: diethyl pyrocarbonate, which is sensitive to the presence of Z-DNA, and hydroxylamine, which detects B-Z junctions. At a threshold negative superhelical density between about 0.048 and 0.056, hyper-reactivity to diethyl pyrocarbonate appears throughout the CA/TG repeat and remains as the superhelical density is further increased. However, there is no reactivity characteristic of B-Z junctions until the superhelical density reaches 0.084, when single cytosines at each end of the repeat become hyper-reactive to hydroxylamine. A two-dimensional gel analysis of this system by others (Haniford, D. B., and Pulleyblank, D. E. (1983) Nature 302, 632-634) indicates that only about half of the 62 base pairs of the CA/TG repeat undergo the initial transition at omega = 0.056. Our results indicate that this region of Z-DNA is free to exist anywhere along the CA/TG repeat and is probably constantly in motion. Well defined B-Z junctions are seen only when there is sufficient supercoiling to convert the entire CA/TG sequence to Z-DNA. The implications for possible B-Z transitions in chromosomal domains of different sizes are discussed.     

The B-Z transition in supercoiled DNA depends on sequence beyond nearest-neighbors.

In order to examine sequence-dependent structural effects in DNA, the ability of alternating purine-pyrimidine fragments to undergo a B-Z transition when cloned in a supercoiled plasmid was determined solely as a function of sequence, with base and nearest-neighbor composition held constant. Sequences of 22 GC and 2 AT base pairs were synthesized such that the AT base pairs varied between contiguous placement and separation by eight GC base pairs. Results show, surprisingly, that the ease of the B-Z transition varies with the position of the two AT base pairs, occurring at lower superhelical densities when AT base pairs are contiguous, and at higher torsional strain when the AT base pairs are moved further apart.     

Left-handed Z Form in Superhelical DNA: A Theoretical Study

Abstract

This is a comprehensive statistical mechanical treatment of the Z form formation in purine- pyrimidine stretches of different length inserted into superhelical DNA. The B-Z transition for short inserts is shown to follow the “all-or-none” principle. Over some critical value of the insert length n, the B-Z transition in the insert proceeds in two stages. The flipping of m base pairs into the Z form is followed by a gradual growth of the Z-form stretch until it occupies the whole insert. By fitting the theoretical transition curves to experimental ones the fundamental thermodynamic parameters of the B-Z transition have been determined: the B-Z junction energy Fj = 4–5kcal?mol^?1 and the free energy change ΔF_B-Z = 0.5–0.7 kcal?mol^?1 under standard salt conditions. Calculations show that the B-Z transition in short purine-pyrimidine inserts may be seriously affected by cruciform formation in the carrier DNA.     

Left-handed Z form in superhelical DNA: a theoretical study

This is a comprehensive statistical mechanical treatment of the Z form formation in purinepyrimidine stretches of different length inserted into superhelical DNA. The B-Z transition for short inserts is shown to follow the "all-or-none" principle. Over some critical value of the insert length n, the B-Z transition in the insert proceeds in two stages. The flipping of m base pairs into the Z form is followed by a gradual growth of the Z-form stretch until it occupies the whole insert. By fitting the theoretical transition curves to experimental ones the fundamental thermodynamic parameters of the B-Z transition have been determined: the B-Z junction energy Fj = 4-5kcal.mol-1 and the free energy change delta FBZ = 0.5-7.0 kcal.mol-1 under standard salt conditions. Calculations show that the B-Z transition in short purinepyrimidine inserts may be seriously affected by cruciform formation in the carrier DNA.     

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

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.     

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.     

Slight changes in conditions influence the family of non-B-DNA conformations of the herpes simplex virus type 1 DR2 repeats

The segment inversion site of herpes simplex virus type 1 contains a series of tandem repeats with a purine bias on one strand and high G + C content (DR2 repeats) capable of adopting a non-B-DNA structure under a variety of conditions. Plasmids carrying eight contiguous copies of DR2 sequences undergo a series of supercoil-driven conformational transitions resulting in different extents of relaxation at pH 5.0. These transitions depend on the presence of an appropriate concentration of divalent cations (Mg2+ and Ca2+) which seem to interact specifically with the alternate structure(s). The transitions occurred at approximately the same superhelical density for all lengths of inserts studied. However, the onset of the transition can be shifted to lower negative superhelical densities by increasing NaCl concentrations. This leads to a reduction of the cooperativity of the transition, which takes place over a range of linking isomers under these conditions. Extrapolating from these results, we established physiological conditions where the alternate DNA structure is found at negative superhelical densities as low as -0.035. The existence of non-B-DNA conformations and/or the structural transitions of these sequences located in this region of intense biological activity implies their involvement in the life cycle of the virus.     

A model of the strain-induced B-Z transition

The B-to-Z transition in supercoiled circular DNA is modeled as a strain-induced nonlinear excitation process. Using a model, in which DNA is regarded as a chain of units with a bistable energy function along the twisting coordinate together with a harmonic inter-unit interaction, we show that a Z region and the accompanying two B-Z junctions of finite width appear naturally as a solution of nonlinear equations, when the strain exceeds a critical value. We examine the B-Z transition behaviour as a function of twist under various situations. We also analyse available experimental results on B-Z transition in supercoiled plasmid with G-C insertions by this mechanistic model in order to estimate the magnitude of model parameters. The energy barrier of the B-Z transition is estimated to be of the order of 1 kcal/mole per base pair. The analysis shows that if the length of the insertion is less than a certain value, the entire insertion converts to Z form at a transition point, but if the insertion is much longer, the B-Z transition exhibits a different behavior, in which part of the insertion flips to Z form and the Z region expands linearly upon changing linking number.     

Applying the stochastic difference equation to DNA conformational transitions: a study of B-Z and B-A DNA transitions

Despite the existence of numerous models to account for the B-Z DNA transition, experimenters have not yet arrived at a conclusive answer to the structural and dynamical features of the B-Z transition. By applying the stochastic difference equation to simulate the B-Z DNA transition, we have shown that the stretched intermediate model of the B-Z transition is more probable than other B-Z transition models such as the Harvey model. This is accomplished by comparing potential energy profiles of various B-Z DNA transition models and calculating relative probabilities based on the stochastic difference equation with respect to length (SDEL) formalism. The results garnered in this article allow for new approaches in determining the structural transition of B-DNA to Z-DNA experimentally. We have also simulated the B-A DNA transition using the stochastic difference equation. Unlike the B-Z DNA transition, the mechanism for the B-A DNA transition is well established. The variation in the pseudorotation angle during the transition is in good agreement with experimental results. Qualitative features of the simulated B-A transition also agree well with experimental data. The SDEL approach is thus a suitable numerical technique to compute long-time molecular dynamics trajectory for DNA molecules.     

A Model of the Strain-induced B-Z Transition

Abstract

The B-to-Z transition in supercoiled circular DNA is modeled as a strain-induced nonlinear excitation process. Using a model, in which DNA is regarded as a chain of units with a bistable energy function along the twisting coordinate together with a harmonic inter-unit interaction, we show that a Z region and the accompanying two B-Z junctions of finite width appear naturally as a solution of nonlinear equations, when the strain exceeds a critical value. We examine the B-Z transition behaviour as a function of twist under various situations. We also analyse available experimental results on B-Z transition in supercoiled plasmid with G-C insertions by this mechanistic model in order to estimate the magnitude of model parameters. The energy barrier of the B-Z transition is estimated to be of the order of 1 kcal/mole per base pair. The analysis shows that if the length of the insertion is less than a certain value, the entire insertion converts to Z form at a transition point, but if the insertion is much longer, the B-Z transition exhibits a different behavior, in which part of the insertion flips to Z form and the Z region expands linearly upon changing linking number.     

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

The linking difference, α, 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 ΔTw _trans. That part of the linking difference not accommodated in this way, the residual linking difference α_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 α determines a stressed equilibrium state. The superhelical free energy,G(α), is the excess free energy of the equilibrium state at linking difference α 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(α), 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 α_res is about 30% larger at substantial superhelicities than it is near the relaxed state. At the onset of transition the functional form ofG(α) is shown to change in a manner dependent upon the length of the Z-susceptible site.     

Supercoil-induced Z-DNA formation within 5'-end of chicken myb proto-oncogene

We have analyzed the recently sequenced and characterized 2.9 kb fragment derived from the 5'-end of chicken myb proto-oncogene with respect to structural perturbations induced by DNA supercoiling. Within the first intron a 50 bp sequence stretch was localized, starting approximately 450 nucleotides downstream from putative ATG initiation codon, which forms a non-B-DNA structure. Fine mapping with structural probes revealed the three adjacent regions with imperfect purine-pyrimidine alternation creating together relatively long Z-forming tract, parts of which may undergo a B-Z DNA transition at different superhelical densities.     

Unpaired bases in the B--Z junction of the supercoiled plasmid

The restriction analysis has been used to establish that O-beta-diethylaminoethylhydroxylamine (OHA) produces modification of unpaired cytidines in the polylinker region adjacent to the Z-insert (dG-dC)10. (dG-dC)10 in the negatively supercoiled plasmid pGC20. The length of the transition region between B- and Z-portions of DNA is not less than 36 bps. The reaction of OHA with the unpaired cytidines in the B-Z junction is a fixing one and produces no secondary despiralling of the neighboring regions. The reaction with DNA proceeds much slower than the one with monomers and single-strand polynucleotides. The structural nonuniformity has been observed, which is manifested in the alternating B and "non-B" form DNA in the B-Z junction. It is suggested that these junctions may contain nucleotide sequences which are stable to violation of the B structure during the change in superhelical density of DNA.     

The stretched intermediate model of B-Z DNA transition

There have been numerous attempts to describe the mechanism of B-Z transition. Our simulations based on the stochastic difference equation with length algorithm show that a short DNA oligomer will tend to unwind and overstretch during the transition. The overstretching of DNA is then understood from the Zhou, Zhang, and Ou-Yang model. Unlike the Harvey model, the stretched intermediate model does not pose any steric dilemma; we are able to show that the chain sense reversal progresses spontaneously using the stretched intermediate model. A nonlinear DNA model is used to describe the origins and mechanism of base rotation in the stretched intermediate state of DNA. We also propose an experiment that can verify the existence of a stretched intermediate state during B-Z transition, thus opening up fresh grounds for experimentation in this field.     

Theoretical model for the equilibrium behavior of DNA superhelices

A statistical-mechanical model for superhelical DNA is presented. The partition function for a DNA superhelix is written by using a combinatorial approach in order to allow for the known relation between the number of superhelical twists and the states of the base pairs in the double helix. While the theory allows any factors which might contribute to the free energy of superhelical twisting to be included in the statistical weights of the superhelical twists, only the reduction in configurational entropy is considered in this paper. Similarities between an imperfectly matched DNA double helix and a DNA superhelix are used in the derivation of expressions for the entropy of superhelical DNA. Although the partition function is presented in a general form, permitting many equilibrium properties of DNA superhelices to be treated, the application considered in this paper is the calculation of helix–coil transition curves. Several experimentally observed features of such transitions are predicted. For example, the curves are bimodal, with an early and a late transition relative to that of a nicked molecule. The results are very sensitive to the volume within which two parts of the double helix must meet when forming a superhelical twist. The free energy of superhelix formation is calculated, and the results are compared with those obtained from the data of Bauer and Vinograd for ethidium bromide intercalation. In the present model, the free energy increases less sharply with an increase in the number of superhelical twists than observed experimentally, indicating that factors other than configurational entropy probably make important contributions to the free energy of superhelix formation.