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.     

Force-induced melting of DNA—evidence for peeling and internal melting from force spectra on short synthetic duplex sequences

Overstretching of DNA occurs at about 60–70 pN when a torsionally unconstrained double-stranded DNA molecule is stretched by its ends. During the transition, the contour length increases by up to 70% without complete strand dissociation. Three mechanisms are thought to be involved: force-induced melting into single-stranded DNA where either one or both strands carry the tension, or a B-to-S transition into a longer, still base-paired conformation. We stretch sequence-designed oligonucleotides in an effort to isolate the three processes, focusing on force-induced melting. By introducing site-specific inter-strand cross-links in one or both ends of a 64 bp AT-rich duplex we could repeatedly follow the two melting processes at 5 mM and 1 M monovalent salt. We find that when one end is sealed the AT-rich sequence undergoes peeling exhibiting hysteresis at low and high salt. When both ends are sealed the AT sequence instead undergoes internal melting. Thirdly, the peeling melting is studied in a composite oligonucleotide where the same AT-rich sequence is concatenated to a GC-rich sequence known to undergo a B-to-S transition rather than melting. The construct then first melts in the AT-rich part followed at higher forces by a B-to-S transition in the GC-part, indicating that DNA overstretching modes are additive.     

Effect of pH on the overstretching transition of double-stranded DNA: evidence of force-induced DNA melting

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 investigated the source of this transition by altering helix stability with solution pH. As solution pH was increased from pH 6.0 to pH 10.6 in 250 mM NaCl, the overstretching transition force decreased from 67.0 +/- 0.8 pN to 56.2 +/- 0.8 pN, whereas the transition width remained nearly constant. As the pH was lowered from pH 6.0 to pH 3.1, the overstretching force decreased from 67.0 +/- 0.8 pN to 47.0 +/- 1.0 pN, but the transition width increased from 3.0 +/- 0.6 pN to 16.0 +/- 3 pN. These results quantitatively agree with a model that asserts that DNA strand dissociation, or melting, occurs during the overstretching transition.     

Force spectroscopy and fluorescence microscopy of dsDNA–YOYO-1 complexes: implications for the structure of dsDNA in the overstretching region

When individual dsDNA molecules are stretched beyond their B-form contour length, they reveal a structural transition in which the molecule extends 1.7 times its contour length. The nature of this transition is still a subject of debate. In the first model, the DNA helix unwinds and combined with the tilting of the base pairs (which remain intact), results in a stretched form of DNA (also known as S-DNA). In the second model the base pairs break resulting effectively in two single-strands, which is referred to as force-induced melting. Here a combination of optical tweezers force spectroscopy with fluorescence microscopy was used to study the structure of dsDNA in the overstretching regime. When dsDNA was stretched in the presence of 10 nM YOYO-1 an initial increase in total fluorescence intensity of the dye–DNA complex was observed and at an extension where the dsDNA started to overstretch the fluorescence intensity leveled off and ultimately decreased when stretched further into the overstretching region. Simultaneous force spectroscopy and fluorescence polarization microscopy revealed that the orientation of dye molecules did not change significantly in the overstretching region (78.0°± 3.2°). These results presented here clearly suggest that, the structure of overstretched dsDNA can be explained accurately by force induced melting.     

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.     

Transient kinetics measured with force steps discriminate between double-stranded DNA elongation and melting and define the reaction energetics

Under a tension of ∼65 pN, double-stranded DNA undergoes an overstretching transition from its basic (B-form) conformation to a 1.7 times longer conformation whose nature is only recently starting to be understood. Here we provide a structural and thermodynamic characterization of the transition by recording the length transient following force steps imposed on the λ-phage DNA with different melting degrees and temperatures (10–25°C). The shortening transient following a 20–35 pN force drop from the overstretching force shows a sequence of fast shortenings of double-stranded extended (S-form) segments and pauses owing to reannealing of melted segments. The lengthening transients following a 2–35 pN stretch to the overstretching force show the kinetics of a two-state reaction and indicate that the whole 70% extension is a B-S transition that precedes and is independent of melting. The temperature dependence of the lengthening transient shows that the entropic contribution to the B-S transition is one-third of the entropy change of thermal melting, reinforcing the evidence for a double-stranded S-form that maintains a significant fraction of the interstrand bonds. The cooperativity of the unitary elongation (22 bp) is independent of temperature, suggesting that structural factors, such as the nucleic acid sequence, control the transition.     

Mechanical stability of low-humidity single DNA molecules

DNA electrostatic character is mostly determined by both water and counterions activities in the phosphate backbone, which together with base sequence, further confer its higher order structure. The authors overstretch individual double-stranded DNA molecules in water-ethanol solutions to investigate the modulation of its mechanical stability by hydration and polycations. The authors found that DNA denatures as ethanol concentration is increased and spermine concentration decreased. This is manifested by an increase in melting hysteresis between the stretch and release curves, with sharp transition at 10% ethanol and reentrant behavior at 60%, by a loss of cooperativity in the overstretching transition and by a dramatic decrease of both the persistence length and the flexural rigidity. Changes in base-stacking stability which are characteristic of the B-A transition between 70 and 80% ethanol concentration do not manifest in the mechanical properties of the double-helical molecule at low or high force or in the behavior of the overstretching and melting transitions within this ethanol concentration range. This is consistent with a mechanism in which A-type base-stacking is unstable in the presence of tension. Binding of motor proteins to DNA locally reduces the number of water molecules and therefore, our results may shed light on analogous reduced-water activity of DNA conditions caused by other molecules, which interact with DNA in vivo.     

Force-induced melting of the DNA double helix. 2. Effect of solution conditions

In this paper, we consider the implications of the general theory developed in the accompanying paper, to interpret experiments on DNA overstretching that involve variables such as solution temperature, pH, and ionic strength. We find the DNA helix-coil phase boundary in the force-temperature space. At temperatures significantly below the regular (zero force) DNA melting temperature, the overstretching force, f(ov)(T), is predicted to decrease nearly linearly with temperature. We calculate the slope of this dependence as a function of entropy and heat-capacity changes upon DNA melting. Fitting of the experimental f(ov)(T) dependence allows determination of both of these quantities in very good agreement with their calorimetric values. At temperatures slightly above the regular DNA melting temperature, we predict stabilization of dsDNA by moderate forces, and destabilization by higher forces. Thus the DNA stretching curves, f(b), should exhibit two rather than one overstretching transitions: from single stranded (ss) to double stranded (ds) and then back at the higher force. We also predict that any change in DNA solution conditions that affects its melting temperature should have a similar effect on DNA overstretching force. This result is used to calculate the dependence of DNA overstretching force on solution pH, f(ov)(pH), from the known dependence of DNA melting temperature on pH. The calculated f(ov)(pH) is in excellent agreement with its experimental determination (M. C. Williams, J. R. Wenner, I. Rouzina, and V. A. Bloomfield, Biophys. J., accepted for publication). Finally, we quantitatively explain the measured dependence of DNA overstretching force on solution ionic strength for crosslinked and noncrosslinked DNA. The much stronger salt dependence of f(ov) in noncrosslinked DNA results from its lower linear charge density in the melted state, compared to crosslinked or double-stranded overstretched S-DNA.     

91 Kinetics of DNA overstretching: melting vs. B-to-S transition

Single B-form DNA molecules undergo an overstretching transition at force F_ov to a ～1.7-fold longer form when stretched. The nature of overstretched DNA has been debated for over 10?years. Either peeled (PL DNA), internally melted (M DNA), or unwound double-helical (S DNA) forms of overstretched DNA have been suggested. Here, we characterize the kinetics of the overstretching transition in polymeric torsionally unconstrained double-stranded (ds) DNA molecules. We pull ～50?Kbp λ–DNA molecules using optical tweezers with rates ν ～10?nm/s to 5?×?10⁴?nm/s, (overstretching time between 0.2 and 10³?s). The F_ov(ν, [Na⁺]) dependence measured over a broad range of rates and solution ionic strength suggests the existence of all three forms of the overstretched DNA. Thus, at [Na⁺]?>?50?mM and the stretching time >>1?s, internal melting dominates overstretching. This B-to-M transition is highly cooperative (involves ～100?bp), and slow (on/off time ～1000?s). Faster overstretching during ?1?s leads to B-to-S DNA transition, which is less cooperative (involves ～10?bp) and faster (on/off time ～1?s). In contrast, in lower salt ([Na⁺]?<?50?mM), the overstretching during >1?s leads to DNA peeling. However, on the faster time scale of 0.2–1?s, even in low salt, the DNA overstretches into S DNA, as peeling becomes kinetically prohibited. Our conclusions are supported by several independent lines of evidence, including the salt and rate dependence of both the slope of the overstretched DNA force-extension curve and the value of the second transition force (from M or PL DNA into S DNA).     

Mechanical stability of single DNA molecules

Using a modified atomic force microscope (AFM), individual double-stranded (ds) DNA molecules attached to an AFM tip and a gold surface were overstretched, and the mechanical stability of the DNA double helix was investigated. In lambda-phage DNA the previously reported B-S transition at 65 piconewtons (pN) is followed by a second conformational transition, during which the DNA double helix melts into two single strands. Unlike the B-S transition, the melting transition exhibits a pronounced force-loading-rate dependence and a marked hysteresis, characteristic of a nonequilibrium conformational transition. The kinetics of force-induced melting of the double helix, its reannealing kinetics, as well as the influence of ionic strength, temperature, and DNA sequence on the mechanical stability of the double helix were investigated. As expected, the DNA double helix is considerably destabilized under low salt buffer conditions (相似文献   

Salt dependence of the elasticity and overstretching transition of single DNA molecules

As double-stranded DNA is stretched to its B-form contour length, models of polymer elasticity can describe the dramatic increase in measured force. When the molecule is stretched beyond this contour length, it shows a highly cooperative overstretching transition. We have measured the elasticity and overstretching transition as a function of monovalent salt concentration by stretching single DNA molecules in an optical tweezers apparatus. As the sodium ion concentration was decreased from 1000 to 2.57 mM, the persistence length of DNA increased from 46 to 59 nm, while the elastic stretch modulus remained approximately constant. These results are consistent with the model of Podgornik, et al. (2000, J. Chem. Phys. 113:9343-9350) using an effective DNA length per charge of 0.67 nm. As the monovalent salt concentration was decreased over the same range, the overstretching transition force decreased from 68 to 52 pN. This reduction in force is attributed to a decrease in the stability of the DNA double helix with decreasing salt concentration. Although, as was shown previously, the hydrogen bonds holding DNA strands in a helical conformation break as DNA is overstretched, these data indicate that both DNA strands remain close together during the transition.     

Nanomechanics of Diaminopurine-Substituted DNA

2,6-diaminopurine (DAP) is a nucleobase analog of adenine. When incorporated into double-stranded DNA (dsDNA), it forms three hydrogen bonds with thymine. Rare in nature, DAP substitution alters the physical characteristics of a DNA molecule without sacrificing sequence specificity. Here, we show that in addition to stabilizing double-strand hybridization, DAP substitution also changes the mechanical and conformational properties of dsDNA. Thermal melting experiments reveal that DAP substitution raises melting temperatures without diminishing sequence-dependent effects. Using a combination of atomic force microscopy (AFM), magnetic tweezer (MT) nanomechanical assays, and circular dichroism spectroscopy, we demonstrate that DAP substitution increases the flexural rigidity of dsDNA yet also facilitates conformational shifts, which manifest as changes in molecule length. DAP substitution increases both the static and dynamic persistence length of DNA (measured by AFM and MT, respectively). In the static case (AFM), in which tension is not applied to the molecule, the contour length of DAP-DNA appears shorter than wild-type (WT)-DNA; under tension (MT), they have similar dynamic contour lengths. At tensions above 60 pN, WT-DNA undergoes characteristic overstretching because of strand separation (tension-induced melting) and spontaneous adoption of a conformation termed S-DNA. Cyclic overstretching and relaxation of WT-DNA at near-zero loading rates typically yields hysteresis, indicative of tension-induced melting; conversely, cyclic stretching of DAP-DNA showed little or no hysteresis, consistent with the adoption of the S-form, similar to what has been reported for GC-rich sequences. However, DAP-DNA overstretching is distinct from GC-rich overstretching in that it happens at a significantly lower tension. In physiological salt conditions, evenly mixed AT/GC DNA typically overstretches around 60 pN. GC-rich sequences overstretch at similar if not slightly higher tensions. Here, we show that DAP-DNA overstretches at 52 pN. In summary, DAP substitution decreases the overall stability of the B-form double helix, biasing toward non-B-form DNA helix conformations at zero tension and facilitating the B-to-S transition at high tension.     

Transition dynamics and selection of the distinct S-DNA and strand unpeeling modes of double helix overstretching

Recent studies have revealed two distinct pathways for the DNA overstretching transition near 65 pN: 'unpeeling' of one strand from the other, and a transition from B-DNA to an elongated double-stranded 'S-DNA' form. However, basic questions concerning the dynamics of these transitions, relative stability of the two competing overstretched states, and effects of nicks and free DNA ends on overstretching, remain open. In this study we report that: (i) stepwise extension changes caused by sequence-defined barriers occur during the strand-unpeeling transition, whereas rapid, sequence-independent extension fluctuations occur during the B to S transition; (ii) the secondary transition that often occurs following the overstretching transition is strand-unpeeling, during which the extension increases by 0.01-0.02 nm per base pair of S-DNA converted to single-stranded DNA at forces between 75 and 110 pN; (iii) even in the presence of nicks or free ends, S-DNA can be stable under physiological solution conditions; (iv) distribution of small GC-rich islands in a large DNA plays a key role in determining the transition pathways; and (v) in the absence of nicks or free ends, torsion-unconstrained DNA undergoes the overstretching transition via creation of S-DNA. Our study provides a new, high-resolution understanding of the competition between unpeeling and formation of S-DNA.     

Equilibrium and Kinetics of DNA Overstretching Modeled with a Quartic Energy Landscape

It is well known that the dsDNA molecule undergoes a phase transition from B-DNA into an overstretched state at high forces. For some time, the structure of the overstretched state remained unknown and highly debated, but recent advances in experimental techniques have presented evidence of more than one possible phase (or even a mixed phase) depending on ionic conditions, temperature, and basepair sequence. Here, we present a theoretical model to study the overstretching transition with the possibility that the overstretched state is a mixture of two phases: a structure with portions of inner strand separation (melted or M-DNA), and an extended phase that retains the basepair structure (S-DNA). We model the double-stranded DNA as a chain composed of n segments of length l, where the transition is studied by means of a Landau quartic potential with statistical fluctuations. The length l is a measure of cooperativity of the transition and is key to characterizing the overstretched phase. By analyzing the different values of l corresponding to a wide spectrum of experiments, we find that for a range of temperatures and ionic conditions, the overstretched form is likely to be a mix of M-DNA and S-DNA. For a transition close to a pure S-DNA state, where the change in extension is close to 1.7 times the original B-DNA length, we find l ≈ 25 basepairs regardless of temperature and ionic concentration. Our model is fully analytical, yet it accurately reproduces the force-extension curves, as well as the transient kinetic behavior, seen in DNA overstretching experiments.     

There and (slowly) back again: entropy-driven hysteresis in a model of DNA overstretching

When pulled along its axis, double-stranded DNA elongates abruptly at a force of ∼65 pN. Two physical pictures have been developed to describe this overstretched state. The first proposes that strong forces induce a phase transition to a molten state consisting of unhybridized single strands. The second picture introduces an elongated hybridized phase called S-DNA. Little thermodynamic evidence exists to discriminate directly between these competing pictures. Here we show that within a microscopic model of DNA we can distinguish between the dynamics associated with each. In experiment, considerable hysteresis in a cycle of stretching and shortening develops as temperature is increased. Since there are few possible causes of hysteresis in a system whose extent is appreciable in only one dimension, such behavior offers a discriminating test of the two pictures of overstretching. Most experiments are performed upon nicked DNA, permitting the detachment (unpeeling) of strands. We show that the long-wavelength progression of the unpeeled front generates hysteresis, the character of which agrees with experiment only if we assume the existence of S-DNA. We also show that internal melting can generate hysteresis, the degree of which depends upon the nonextensive loop entropy of single-stranded DNA.     

Equilibrium and Kinetics of DNA Overstretching Modeled with a Quartic Energy Landscape

It is well known that the dsDNA molecule undergoes a phase transition from B-DNA into an overstretched state at high forces. For some time, the structure of the overstretched state remained unknown and highly debated, but recent advances in experimental techniques have presented evidence of more than one possible phase (or even a mixed phase) depending on ionic conditions, temperature, and basepair sequence. Here, we present a theoretical model to study the overstretching transition with the possibility that the overstretched state is a mixture of two phases: a structure with portions of inner strand separation (melted or M-DNA), and an extended phase that retains the basepair structure (S-DNA). We model the double-stranded DNA as a chain composed of n segments of length l, where the transition is studied by means of a Landau quartic potential with statistical fluctuations. The length l is a measure of cooperativity of the transition and is key to characterizing the overstretched phase. By analyzing the different values of l corresponding to a wide spectrum of experiments, we find that for a range of temperatures and ionic conditions, the overstretched form is likely to be a mix of M-DNA and S-DNA. For a transition close to a pure S-DNA state, where the change in extension is close to 1.7 times the original B-DNA length, we find l ≈ 25 basepairs regardless of temperature and ionic concentration. Our model is fully analytical, yet it accurately reproduces the force-extension curves, as well as the transient kinetic behavior, seen in DNA overstretching experiments.     

Effect of ethylene glycol, urea, and N-methylated glycines on DNA thermal stability: the role of DNA base pair composition and hydration

The accumulation of the cosolutes ethylene glycol, urea, glycine, sarcosine, and glycine betaine at the single-stranded DNA surface exposed upon melting the double helix has been quantified for DNA samples of different guanine-cytosine (GC) content using the local-bulk partitioning model [Record, M. T., Jr., Zhang, W., and Anderson, C. F. (1998) Adv. Protein Chem. 51, 281-353]. Urea and ethylene glycol are both locally accumulated at single-stranded DNA relative to bulk solution. Urea exhibits a stronger affinity for adenine (A) and thymine (T) bases, leading to a greater net dehydration of these bases upon DNA melting; ethylene glycol local accumulation is practically independent of base composition. However, glycine, sarcosine, and glycine betaine are not necessarily locally accumulated at single strands after melting relative to bulk solution, although they are locally accumulated relative to double-stranded DNA. The local accumulation of glycine, sarcosine, and glycine betaine at single strands relative to double-stranded DNA decreases with bulk cosolute molality and increases with GC content for all N-methylated glycines, demonstrating a stronger affinity for G and C bases. Glycine also shows a minimum in melting temperature T(m) at 1-2 m for DNA samples of 50% GC content or less. Increasing ionic strength attenuates the local accumulation of urea, glycine, sarcosine, and glycine betaine and removes the minimum in T(m) with glycine. This attenuation in local accumulation results in counterion release during the melting transition that is dependent on water activity and, hence, cosolute molality.     

Mechanical measurement of single-molecule binding rates: kinetics of DNA helix-destabilization by T4 gene 32 protein

Bacteriophage T4 gene 32 protein (gp32) is a single-stranded DNA (ssDNA) binding protein, and is essential for DNA replication, recombination and repair. While gp32 binds preferentially and cooperatively to ssDNA, it has not been observed to lower the thermal melting temperature of natural double-stranded DNA (dsDNA). However, in single-molecule stretching experiments, gp32 significantly destabilizes lambda DNA. In this study, we develop a theory of the effect of the protein on single dsDNA stretching curves, and apply it to the measured dependence of the DNA overstretching force on pulling rate in the presence of the full-length and two truncated forms of the protein. This allows us to calculate the rate of cooperative growth of single clusters of protein along ssDNA that are formed as the dsDNA molecule is stretched, as well as determine the site size of the protein binding to ssDNA. The rate of cooperative binding (ka) of both gp32 and of its proteolytic fragment *I (which lacks 48 residues from the C terminus) varies non-linearly with protein concentration, and appears to exceed the diffusion limit. We develop a model of protein association with the ends of growing clusters of cooperatively bound protein enhanced by 1-D diffusion along dsDNA, under the condition of protein excess. Upon globally fitting ka versus protein concentration, we determine the binding site size and the non-cooperative binding constants to dsDNA for gp32 and I. Our experiment mimics the growth of clusters of gp32 that likely exist at the DNA replication fork in vivo, and explains the origin of the "kinetic block" to dsDNA melting by gene 32 protein observed in thermal melting experiments.