Force-induced melting of the DNA double helix 1. Thermodynamic analysis

The highly cooperative elongation of a single B-DNA molecule to almost twice its contour length upon application of a stretching force is interpreted as force-induced DNA melting. This interpretation is based on the similarity between experimental and calculated stretching profiles, when the force-dependent free energy of melting is obtained directly from the experimental force versus extension curves of double- and single-stranded DNA. The high cooperativity of the overstretching transition is consistent with a melting interpretation. The ability of nicked DNA to withstand forces greater than that at the transition midpoint is explained as a result of the one-dimensional nature of the melting transition, which leads to alternating zones of melted and unmelted DNA even substantially above the melting midpoint. We discuss the relationship between force-induced melting and the B-to-S transition suggested by other authors. The recently measured effect on T7 DNA polymerase activity of the force applied to a ssDNA template is interpreted in terms of preferential stabilization of dsDNA by weak forces approximately equal to 7 pN.     

Heat capacity changes associated with DNA duplex formation: salt- and sequence-dependent effects

Duplexes are the most fundamental elements of nucleic acid folding. Although it has become increasingly clear that duplex formation can be associated with a significant change in heat capacity (deltaC(p)), this parameter is typically overlooked in thermodynamic studies of nucleic acid folding. Analogy to protein folding suggests that base stacking events coupled to duplex formation should give rise to a deltaC(p) due to the release of waters solvating aromatic surfaces of nucleotide bases. In previous work, we showed that the deltaC(p) observed by isothermal titration calorimetry (ITC) for RNA duplex formation depended on salt and sequence [Takach, J. C., Mikulecky, P. J., and Feig, A. L. (2004) J. Am. Chem. Soc. 126, 6530-6531]. In the present work, we apply calorimetric and spectroscopic techniques to a series of designed DNA duplexes to demonstrate that both the salt dependence and sequence dependence of deltaC(p)s observed by ITC reflect perturbations to the same fundamental phenomenon: stacking in the single-stranded state. By measuring the thermodynamics of single strand melting, one can accurately predict the deltaC(p)s observed for duplex formation by ITC at high and low ionic strength. We discuss our results in light of the larger issue of contributions to deltaC(p) from coupled equilibria and conclude that observed deltaC(p)s can be useful indicators of intermediate states in nucleic acid folding phenomena.     

Equilibrium melting of plasmid ColE1 DNA: electron-microscopic visualization.

The fine structure of the melting curve for the linear colE1 DNA has been obtained. To find the ColE1 DNA regions corresponding to peaks in the melting curve's fine structure, we fixed the melted DNA regions with glyoxal /12/. Electron-microscopic denaturation maps were obtained for nine temperature points within the melting range. Thereby the whole process of colE1 DNA melting was reconstructed in detail. Spectrophotometric and electron microscopic data were used for mapping the distribution of Gc-pairs over the DNA molecule. The most AT-rich DNA regions (28 and 37% of GC-pairs), 380 and 660 bp long resp., are located on both sides of the site of ColE1 DNA's cleavage by EcoR1 endonuclease. The equilibrium denaturation maps are compared with maps obtained by the method of Inman /20/ for eight points of the kinetic curve of ColE1 DNA unwinding by formaldehyde.     

Heat capacity of protein folding.

We construct a Hamiltonian for a single domain protein where the contact enthalpy and the chain entropy decrease linearly with the number of native contacts. The hydration effect upon protein unfolding is included by modeling water as ideal dipoles that are ordered around the unfolded surfaces, where the influence of these surfaces, covered with an "ice-like" shell of water, is represented by an effective field that directs the water dipoles. An intermolecular pair interaction between water molecules is also introduced. The heat capacity of the model exhibits, the common feature of small globular proteins, two peaks corresponding to cold and warm unfolding, respectively. By introducing ad hoc vibrational modes, we obtain quantitatively good accordance with experiments on myoglobin.     

Heat capacity of proteins. II. Partial molar heat capacity of the unfolded polypeptide chain of proteins: protein unfolding effects

Using the heat capacity values for amino acid side-chains and the peptide unit determined in the accompanying paper, we calculated the partial heat capacities of the unfolded state for four proteins (apomyoglobin, apocytochrome c, ribonuclease A, lysozyme) in aqueous solution in the temperature range from 5 to 125 degrees C, with an assumption that the constituent amino acid residues contribute additively to the integral heat capacity of a polypeptide chain. These ideal heat capacity functions of the extended polypeptide chains were compared with the calorimetrically determined heat capacity functions of the heat and acid-denatured proteins. The average deviation of the experimental functions from the calculated ideal ones in the whole studied temperature range does not exceed the experimental error (5%). Therefore, the heat-denatured state of a protein, in solutions with acidic pH preventing aggregation, approximates well the completely unfolded state of this macromolecule. The heat capacity change caused by hydration of amino acid residues upon protein unfolding was also determined and it was shown that this is the major contributor to the observed heat capacity effect of unfolding. Its value is different for different proteins and correlates well with the surface area of non-polar groups exposed upon unfolding. The heat capacity effect due to the configurational freedom gain by the polypeptide chain was found to contribute only a small part of the overall heat capacity change on unfolding.     

Fine structure of DNA melting curves.

Theoretical calculations predict that the differential melting curves for random polynucleotide sequences having lengths up to several tens of thousands of base pairs have a clear-cut fine structure. This structure appears in the form of multiple narrow peaks 0.3–0.4°C wide on the bell shaped main curve. The differential melting curves have different shapes for different specific sequences. The theory also predicts the disappearance of the fine structure when the length of the sequence increases and when circular, covalently closed DNA is considered instead of the open structure. The predictions of the theory were confirmed by the measurements of differential melting curves for open and covalently closed circular forms of DNA for PM2 phage (N = 10⁴ base pairs) and also for other phage DNA's of different length: T7 (N = 3.8 × 10⁴); S_D (N = 9.2 × 10⁴); T2 (N = 17 × 10⁴). It was shown that the effect of fine structure results mainly from the cooperative melting out of DNA regions 300–500 base pairs long.     

Entropy and heat capacity of DNA melting from temperature dependence of single molecule stretching

When a single molecule of double-stranded DNA is stretched beyond its B-form contour length, the measured force shows a highly cooperative overstretching transition. We have measured the force at which this transition occurs as a function of temperature. To do this, single molecules of DNA were captured between two polystyrene beads in an optical tweezers apparatus. As the temperature of the solution surrounding a captured molecule was increased from 11 degrees C to 52 degrees C in 500 mM NaCl, the overstretching transition force decreased from 69 pN to 50 pN. This reduction is attributed to a decrease in the stability of the DNA double helix with increasing temperature. These results quantitatively agree with a model that asserts that DNA melting occurs during the overstretching transition. With this model, the data may be analyzed to obtain the change in the melting entropy DeltaS of DNA with temperature. The observed nonlinear temperature dependence of DeltaS is a result of the positive change in heat capacity of DNA upon melting, which we determine from our stretching measurements to be DeltaC(p) = 60 +/- 10 cal/mol K bp, in agreement with calorimetric measurements.     

DNA sequencing and helix-coil transition. I. Theory of DNA melting

An explicit analytic formula accurately describing the melting of a natural DNA is derived. For phage ?X-174 and virus SV-40, the nucleotide sequences of which are known, the formula fits experimental data for the differential melting curve almost within the experimental accuracy.     

Some legal aspects of mental capacity.

This article discusses some practical matters which arise when competence to make decisions is in question. Consent, testamentary capacity, powers of attorney, the Court of Protection, "living wills," and research on people with dementia are briefly considered.     

Influence of formaldehyde on the melting temperature of DNA]

It has been shown that formaldehyde has no marked physical effect upon DNA resulting in lowering of its melting temperature. The effect of lowering of DNA melting temperature observed earlier by other authors resulted from the process of unwinding of DNA due to chemical reactions of formaldehyde with reactive base groups.     

Theory of DNA melting curves

Exact algorithms for the calculation of melting curves of heterogeneous DNA with N base pairs apparently require computer time proportional to N². However, it is shown that a decomposition of the loop entropy factor into a sum of I exponential functions (1) gives an extremely accurate approximation to the loop entropy factor for small values of I and (2) makes the computer time for the exact algorithms proportional to I·N. In effect, exact results for melting curves and lengths of helix or coil stretches are obtained with computer time comparable to that required for the Frank-Kamenetskii approximation. The remarkable accuracy of the latter for the fraction of helical content (errors of 0.01–0.05) is confirmed, but appreciably larger errors are found for the lengths of helix or coil stretches (typical errors of 30–100%).     

Mechanistic aspects of DNA transposition.

The past year has seen a number of important advances in our understanding of the mechanisms of DNA transposition. The molecular details of the protein-protein, protein-DNA and chemical-reaction steps in several transposition systems have been revealed and have highlighted remarkable uniformity in some areas, ranging from bacterial to retroviral mechanisms.     

Intramolecular DNA melting between stable helical segments: melting theory and metastable states.

Melting of DNA in a segment bounded at both ends by regions of greater stability during electrophoresis in denaturing gradient gels show complex properties, not accommodated with standard melting theory. Compact bands of some DNA molecules become anomalously broadened at the retardation level in a denaturing gradient, or double bands may appear in a uniform denaturant concentration. These properties are associated only with molecules for which the distribution of stability calculated by the Poland-Fixman-Freire algorithms indicates that the region of lowest stability does not extend to an end of the molecule. Retention of helicity at the ends is shown by the difference in the effect of base substitution in the end domains and in the least stable domain. Both the appearance of double bands and band broadening can be explained by invoking a hypothetical metastable intermediate in melting, which is converted into the equilibrium melted form at a relatively slow rate, depending on both denaturant concentration and field strength. A kinetic model permits plausible rate constants to be inferred from the patterns. Despite the increased band width, sequence variants with base changes in the least stable domain result in readily detectable band shifts in the gradient.