Pressure dependence of the helix-coil transition temperature for polynucleic acid helices

Thermal denaturation of DNA's and the corresponding helix–coil transformation of artificial polyribonucleic and polydeoxyribonucleic acids have been studied extensively both theoretically^1–13 and experimentally. ^14–30 Much less work has been carried out on the properties of these polynucleic acids at high pressure, and in particular, on the presure dependence of the helix–coil transition temperature.^31–33 Light-scattering techniques have been used in this study to measure the pressure dependence of the helix–coil transition temperature of the two- and three-stranded helices of polyriboadenylic and polyribouridilic acids and of calf thymus DNA. From the slopes of the transition temperature vs. pressure curves and heats of transition obtained from the literature,^20,34 the following volume changes from these helix–coil transitions have been obtained: (a) ?0.96 cc/mole of nucleotide base pairs for the poly (A + U) transition, (b) +0.35 cc/mole of nucleotide base trios for the poly (A + 2U) transition, and (c) +2.7 cc/mole of nucleotide base pairs for the DNA transition. The relative magnitudes and signs of these volume changes which show that poly (A + U) is destabilized by increased pressure, whereas poly (A + 2U) and calf thymus DNA are stabilized by increased pressure, indicates that further development of the helix–coil transition theory for polynucleotides is needed.     

The strand-separation transition of T2 bacteriophage DNA

Strand separation of T2 DNA has been investigated in a helix-destabilizing solvent. Temperature-shift experiments in which the conformation of the DNA is monitored by its viscosity, sedimentation behavior, and kinetics of helix formation show that a well-defined strand-separation transition follows the helix–coil transition usually observed by changes in absorbance. For T2 DNA, this strand-separation transition is 70% as broad as the helix–coil transition, and is characterized by extremely slow kinetics of conformational change in the population. Strand separation requires the expansion of the two-stranded coil observed at the end of the helix–coil transition. This expansion is apparently coupled with the disurption of the last remaining base pairs in the molecule. The expansion process increases the viscosity, and can be readily followed as a function of time and/or temperature. Subsequent separation of the expanded form into complementary strands results in a viscosity decrease, the net result of a reduction in hydrodynamic volume and the halving of the molecular weight. Only under conditions where the driving force for strand separation is large are these events at all synchronous in the population. When the kinetics of conformational change are complete in the strand-separation transition, a mixture of expanded forms and separate strands is observed; the breadth of the transition reflects differences in stability with respect to strand separation among the molecules in the population. The transition exhibits hysteresis and is not a reversible equilibrium between double-stranded and single-stranded forms. It appears that renucleation is kinetically forbidden within the strand-separation region.     

Microcalorimetric study of heat denaturation of DNA from calf thymus DNA in the absence of magnesium ions

Thermal denaturation was studied for a wide range of magnesium ions concentrations and salt concentration 0.15 M NaCl. It was shown that thermal stability of DNA increases at low Mg/2P ratios and decreases at high concentrations of magnesium ions. Up to Mg/2P = 10 DNA denaturation is an equilibrium process. With an increase in magnesium ions concentrations the enthalpy of DNA denaturation reaches the maximum at Mg/2P = 10 (50 kJ/mole base pairs). DNA aggregation and appearance of a new heat absorption peak is observed in the high temperature region at Mg/2P = 10. At this region of magnesium ions concentrations DNA denaturation process is non-equilibrium.     

On the application of polyelectrolyte limiting laws to the helix-coil transition of DNA. III. TDependence of helix stability on excess univalent salt and on polynucleotide phosphate concentration for variable equivalent ratios of divalent metal ion to phosphate.

Using the free energy difference between double-helix and random-coil forms of DNA as a measure of the stability of the double helix, we calculate the dependence of the stability on excess univalent cation concentration and on polynucleotide phosphate concentration, both as functions of the equivalent ratio r of divalent cation-to-phosphate concentrations. The theoretical tool is merely to compare the free energy of one polyelectrolyte solution, characterized by the polyelectrolyte linear charge density, with the free energy of another, characterized by a different value of the charge density. It is assumed only that the charge density of the double helix is greater than that of the coil form. The calculation represents the only molecular theory given to date (for r ≠ O) for these aspects of helix stability. We find that, as excess univalent cation concentration increases, the helix stability increases if r is small but decreases if r is large (i.e., of the order of unity). Moreover, as the concentration of nucleotide phosphate increases, the helix stability does not change for small values of r but increases for large values. For both effects, a continuous transition as a function of r bridges the low-r and high-r behaviour.     

PMR chemical shifts of TFA in poly(gamma-bzyl L-glutamate) solutions

The present communication describes a new way of studying helix–random coil transformations of polypeptide, poly-(γ-benzyl L -glutamate), in benzene–trifluoracetic acid (TFA) and chloroform–TFA systems. The difference between the PMR chemical shift of TFA with and without the polypeptide, measured as Δ, may be used to follow the conformational transition. This technique is particularly useful for concentrated solutions, where the PMR peaks of the polymer are so broad that no valuable information may be derived. As the TFA content increases in the system (at constant polymer concentration), Δ decreases normally whether the polymer is helical or random. However, Δ changes in a different way in the helix–random coil transition region, and actually increases with increasing TFA content. This peculiar behavior is explained in terms of the solvation of the helix and random coil structures.     

Enthalpy change of the coil-helix transition of poly(gamma-benzyl L-glutamate) in dichloroacetic acid-1,2-dichloroethane mixtures

By combining the heat of dilution of a poly(γ-benzyl L -glutamate)–dichloroacetic acid–1, 2-dichloroethane solution with the corresponding heat of mixing of two solvents, the integrated heat of the coil–helix transition of poly(γ-benzyl L -glutamate) in the solution was estimated to be about 750 cal/mole.     

The strand-separation transition of T7 DNA

The strand-separation transition of T7 DNA has been investigated by temperature shift and viscosity measurements in two formamide–water solvents. The strand-separation region is quite narrow, and follows directly at the end of the denaturation transition observed by absorbance. The kinetics of strand separation of T7 DNA are slow and complex in the strand-separation transition. Similarities and differences in the behavior of T2 and T7 DNA in strand separation are indicated and discussed. Briefly, the time course of strand separation and the conformational changes observed in the population undergoing strand separation are similar for the two molecules. However, the transition breadths and the interval between the helix–coil transition and the strand-separation transition differ markedly. Both DNA molecules exhibit hysteresis in the strand-separation region. For both molecules, it appears that strand separation involves the coupled denaturation and disentanglement of the two-stranded form found at the end of the helix–coil transition.     

Study of helix-coil transition of DNA by dielectric constant measurement

The thermal helix–coil transition of DNA was studied by means of dielectric constant measurements. The dielectric dispersion of native helical DNA is characterized by a large dielectric increment and a large relaxation time, whereas that of denatured coil DNA is characterized by a small dielectric increment and a small relaxation time. The dielectric dispersion of partially denatured DNA is of particular interest. At the intermediate stage of the helix–coil transition, dispersion curves which are different from either that of helix DNA or that of coil DNA appear. This is particularly pronounced for large DNA. This indicates the presence of an intermediate form of DNA. Flow birefringence measurements were carried out simultaneously. The negative birefringence of helical DNA diminishes as the helix–coil transition proceeds. However, the extinction angle remains constant, as long as it can be measured. These results indicate the absence of intermediate forms during the helix–coil transition. The discrepancy between dielectric and birefringence measurements can be resolved by assuming that the intermediate forms are not birefringent. The size distribution of native DNA and of the indicated intermediate form of DNA was studied. It is found that a logarithmic normal distribution function explains the distribution of size of DNA reasonably well.     

Volume changes accompanying thermal denaturation of deoxyribonucleic acid. II. Denaturation at alkaline pH

The change in apparent molal volume ? of DNA on thermal denaturation in carbonate buffer at pH 11.0 has been determined by the dilatometric method. It was found that ? increases sigmoidally during the helix–coil transition. Several methods, including a colorimetric technique that closely simulates the conditions used in the dilatometric experiments, were employed to estimate the protons lost by the DNA during the transition. These measurements indicated that the extent of the proton loss depends on the counterion present, increasing in the order Li⁺ < Na⁺ < K⁺ < Cs⁺. The major part of the volume changes observed during the denaturation is due to the volume changes expected to accompany the transfer of protons from the bases guanine and thym ne to carbonate ions. As has been previously reported for the denaturation of DNA at neutral pH, the volume change directly due to the change in shape of the polymer molecules is so small as to be experimentally undetectable.     

Showing up the thermal transconformation of Na–DNA in solution by noise spectrography

Measuring the equivalent noise resistance of Na–DNA solutions in NaCl provides in formation about the free ino atmosphere. In an Arrhenius type diagram, the helix → coil transition is clearly brought Out. A Calculation of the number of free ions in the solution as function of temperature, reveals once more the process of ejection of compensating Na⁺ ions form the macromolecules during the thermal transconformation.     

The effect of simple shear flow on the helix–coil transition of poly‐L‐lysine

Studies of the helix‐to‐coil transition in dilute solutions of poly‐L ‐lysine, dissolved in mixtures of water and methanol (MeOH), have been carried under shear flow using flow birefringence and modulated polarimetry. The fraction of helical conformations in a given solution remains independent of shear rate for MeOH concentrations above and below the critical value for the helix‐coil transition (i.e., 87.5% MeOH). For the 87.5% MeOH solutions, a shear‐induced helix‐to‐“stretched” coil transition occurs above a critical shear rate. Induction times for the transition show a temperature and shear rate dependence that can be described in terms of an activated jump process. Measurements of circular birefringence on cessation of flow also show that the transition is reversible, with the stretched coil reverting to the helical state on a time scale of several seconds. The activation energy for the jump process is found to be 16.2 kJ/mole. © 1999 John Wiley & Sons, Inc. Biopoly 50: 589–594, 1999     

Calorimetric studies of the interaction between dna and poly-l-lysine

The transition enthalpy ΔH of the helix—random coil transition of the DNA-polylysine complex was measured as a function of the peptide:nucleotide ratio by the help of an adiabatic scanning differential calorimeter. Furthermore the transition enthalpy of a complex with a specific peptide:nucleotide ratio was determined as a function of the cation concentration of the solution. Finally the reaction enthalpy of the interaction of polylysine with native and denatured DNA was measured with the help of a LKB batch calorimeter. From the results of the calorimetric measurements one can conclude that the transition enthalpy of the DNA—polylysine complexes is linearly dependent on the nucleotide: peptide ratio. The extrapolated value for the 1:1 complex is 14.4 Kcal per mole base pairs.     

Experimental thermodynamics of the helix–random coil transition. II. Calorimetric measurement of transition enthalpies of poly A in acid aqueous solution

The enthalpy change accompanying the double helix–coil transition of polyriboadenylic acid (poly A) in aqueous solution has been measured optically and calorimetrically in the pH range 5.7–4.5. The course of this cooperative transition was followed optically by measuring changes in ultraviolet absorption as a function of temperature at different pH values, and calorimetrically by determining the heat capacity of the solution through the transition region. From the latter measurements, the enthalpy of transition was calculated. It is shown, that ΔH is dependent on pH as it is expected from the influence of protonation of the double helix of poly A.     

Helix-coil dynamics of a Z-helix hairpin

The helix–coil transition of a Z-helix hairpin formed from d(C-G)₅T₄(C-G)₅ has been characterized by equilibrium melting and temperature jump experiments in 5M NaClO₄ and 10 mM Na₂HPO₄, pH 7.0. The melting curve can be represented by a simple all-or-none transition with a midpoint at 81.6 ± 0.4°C and an enthalpy change of 287 ± 15 kJ/mole. The temperature jump relaxation can be described by single exponentials at a reasonable accuracy. Amplitudes measured as a function of temperature provide equilibrium parameters consistent with those derived from equilibrium melting curves. The rate constants of Z-helix formation are found in the range from 1800 s^?1 at 70°C to 800 s^?1 at 90°C and are associated with an activation enthalpy of ?(50 ± 10) kJ/mole, whereas the rate constants of helix dissociation are found in the range from 200 s^?1 at 70°C to 4500 s^?1 at 90°C with an activation enthalpy +235 kJ/mole. These parameters are consistent with a requirement of 3–4 base pairs for helix nucleation. Apparently nucleation occurs in the Z-helix conformation, because a separate slow step corresponding to a B to Z transition has not been observed. In summary, the dynamics of the Z-helix–coil transition is very similar to that of previously investigated right-handed double helices.     

Helix-coil transition in heterogeneous DNA.

The broadening of a helix–coil transition due to base pair heterogeneity is calculated on the basis of a cumulant perturbation expansion in the quasi-grand ensemble. In this ensemble the fictitious, homogeneous chain, to which the perturbation is referred, automatically decreases its correlation length as the heterogeneity increases. This “renormalization” seems to stabilize the perturbation expansion, in view of the good agreement between the present results and the exact theory of a heterogeneous polypeptide helix–coil transition. For the DNA model in which ring entropy is included, the transitions is found to be extremely narrow for an infinite random chain with conventional parameters. A tentative reconciliation of this result with contradictory calculations of some other workers is offered on the basis of end effects, coarse graining, or approximation to the ring entropy. An application of the new method to DNA with a non-random base pair distribution requires evaluation of the correlation function between molecular states (helix or coil), at different sites of the reference chain. The evaluation is reduced to quadrature, but numerical calculations have been made only for the random chain.     

Formation of a left-handed RNA double helix: energetics of the A-Z transition of poly[r(G-C)] in concentrated NaClO4 solutions

Ultraviolet spectroscopic and nuclear magnetic resonance (NMR) studies have shown that poly[r(G-C)] in a solution of 4 M NaClO4 undergoes a transition to a left-handed Z-RNA helix upon raising the temperature to 60 degrees C [Hall, K., Cruz, P., Tinoco, I., Jr., Jovin, T. M., & van de Sande, J. H. (1984) Nature (London) 311, 584-586]. In the present report, the transition temperature of this particular order/order transition is shown to increase with decreasing NaClO4 concentration to about 110 degrees C, above which only the helix-to-random coil transition is detectable. The reversibility and cooperativity of the helix/helix conversion has facilitated the quantitative evaluation of the transition enthalpy by means of differential scanning microcalorimetry. In 5 M NaClO4, the transition temperature is 43 degrees C, the conversion enthalpy 4.2 kJ (1.0 kcal) per mole of base pair, and the corresponding entropy change 13 J (3.1 cal) deg-1. The van't Hoff enthalpy for the same process, determined from the temperature dependence of the optical transition, is 0.26 MJ (62 kcal) per mole of cooperative unit. The ratio of the two enthalpy values yields an apparent cooperative length for the A-Z transition of poly[r(G-C)] of approximately 60 base pairs, indicative of a concerted all-or-none process.     

On the possibility of true phase transition in heterogeneous DNA during thermal denaturation under conditions close to equal stability of A+T and G+C pairs

The DNA helix–coil transition has been studied in the presence of high concentrations of manganese ions (about 10^?3M), which corresponds to the conditions close to equal stability of the A+T and G+C pairs, at the ionic strengths of 10^?1, 10^?2, and 1.6 × 10^?3M Na⁺. With the Mn²⁺ ion effect, the transition range is significantly reduced to not more than 0.2°C at 1.2 × 10^?3M Mn²⁺ and 1.6 × 10^?3M Na⁺. The melting curves display a sharp kink at the end of the helix–coil transition, which is interpreted as an indication of the second-order phase transition. It is shown that the melting curves obtained can be approximated by a simple analytical expression 1 – θ = exp[–a(t_c - t)], where θ is the DNA helix fraction, t_c is the phase transition temperature, and a is an empirical parameter characterizing the breadth of the melting range and responsible for the magnitude of a jump of the helicity derivative with respect to the temperature at the phase transition point.