Cooperative interaction of histone H1 with DNA.

The cooperative binding of histone H1 with DNA was studied using a fluorescently labelled histone H1. The titration data were analysed in terms of the large ligand model. The stoichiometric number, n = 65 +/- 10 bases/H1, was independent of NaCl concentration (0.02 - 0.35 M). The nucleation and the cooperative binding constants, K' and K, and the cooperativity parameter q were sensitive to salt concentration; K = 3.6 +/- 0.8 X 10(7) M-1 and q = 1.1 +/- 0.4 X 10(3) at 0.2 M NaCl. The dependence of K' on NaCl concentration revealed that 6 Na+ ions were released from DNA upon complex formation. An extrapolation of K' to 1M NaCl yielded a small value, K' = 5 +/- 2 M-1. Thus the binding of H1 is essentially electrostatic, being compatible with its independence of temperature. A calculation of K' based on the counterion release reproduced the salt concentration dependence of K'. Therefore, the binding of H1 is of an electrostatic territorial type. Thus, H1 may move along the DNA chain to a certain extent, when both salt concentration and the degree of saturation are sufficiently low. The condition is so restricted that the sliding would not play an important role in vivo. It was concluded from the DNA concentration independent binding isotherm that H1 can cooperatively bind onto a single DNA molecule. A simple power law dependence of the cooperativity parameter q upon NaCl concentration was found; q oc[NaCl]h with h = 0.72, though the physical basis of this dependence remains unknown.     

Reaction rate of OH radicals with phi X174 DNA: influence of salt and scavenger

A derivation is given for the dependence of the rate constant of the reaction of OH radicals with a spherical macromolecule on the rate by which such radicals are scavenged by the medium. Experiments were carried out with oxygenated solutions of dilute single-stranded phi X174 DNA at 10(-4)M NaCl (large reaction radius of DNA) or at 10(-4)M NaCl + MgCl2 (small reaction radius) with t-butanol as a scavenger. The results of these experiments cannot be described by simple second-order competition, but can be explained by the predicted dependence of the rate constant of the reaction OH + DNA on the concentration of t-butanol. Furthermore, the results show that only part of the reactions of OH radicals with phi X174 DNA leads to DNA inactivation, and that even at zero scavenger concentration OH radicals are scavenged by other molecules than DNA, presumably impurities remaining even after careful purification of the DNA.     

Binding strength of calcium ion to bovine alpha-lactalbumin

A Ca2+-sensitive electrode was used for determination of the binding strength of Ca2+ to bovine alpha-lactalbumin in 60 mM Tris buffer (pH 7.8-8.5) in the presence of various concentrations of NaCl. The dependence of the apparent binding constant on the concentration of NaCl was consistent with competitive binding of Ca2+ and Na+, and the binding constants of Ca2+ and Na+ were found to be 2.2 (+/- 0.5) X 10(7) M-1 and 99 (+/- 33) M-1, respectively, at 37 degrees C and pH 8.0. The temperature dependence of the binding constant of Ca2+ was examined between 30 and 45 degrees C; extrapolation of the dependence led to a binding constant of approximately 1 X 10(8) M-1 at pH 8.4 and 25 degrees C. The electrostatic contribution and conformational effect of the protein were also taken into consideration, and the intrinsic binding constant of Ca2+ to native alpha-lactalbumin was calculated to be (1.2-1.5) X 10(10) M-1 at 37 degrees C and pH 8.0.     

Torsional rigidity of DNA and length dependence of the free energy of DNA supercoiling

By analyzing the Boltzmann populations of DNA topoisomers that differ only in their linking numbers, the dependence of the free energy delta G tau of DNA supercoiling on the linking number alpha has been determined for DNA rings as small as 200 base-pairs (bp) in length. All experimental data can be fitted by the relation delta G tau = K (alpha-alpha)2, where alpha is a constant for a given DNA at a given set of conditions and K is a DNA length-dependent proportionality constant. For DNA rings with length N larger than 2000 bp, K is inversely proportional to N and the product NK is nearly a constant around 1150 RT X bp. For rings smaller than 2000 bp NK increases steadily with decreasing N; for a 200 bp ring NK is 3900 RT X bp. The increase in NK when N decreases can be interpreted as a result of the decrease in the contribution of the fluctuation in the writhing number to the equilibrium distribution in alpha. Assuming that the writhing contribution approaches zero for DNA rings 200 bp in size, the torsional rigidity of the DNA double helix is calculated to be 2.9 X 10(-19) erg cm. In addition, the large value of K for the small circles allows precise calculation of the helical repeat of DNA. For the 210 bp rings, the repeat is measured to be 10.54 bp.     

Structure and dynamics of M13mp19 circular single-strand DNA: effects of ionic strength

Dynamic and static light scattering, CD, and optical melting experiments have been conducted on M13mp19 viral circular single-strand DNA as a function of NaCl concentration. Over the 10,000-fold range in concentration from 100 microM to 1.0 M NaCl, the melting curves and CD spectra indicate an increase in base stacking and stability of stacked regions with increased salt concentration. Analysis of dynamic light scattering measurements of the single-strand DNA solutions as a function of K2 from 1.56 to 20 X 10(10) cm-2 indicates the collected autocorrelation functions are biexponential, thus revealing the presence of two decaying dynamic components. These components are taken to correspond to (1) global translational motions of the molecular center of mass and (2) motions of the internal molecular subunits. From the evaluated relaxation rates of these components, diffusion coefficients D0 and Dplat are determined. The center of mass translational diffusion coefficient D0, varies in a nonmonotonic manner, by 10%, from 3.75 X 10(-8) to 3.39 X 10(-8) cm2/s over the NaCl concentration range from 100 microM to 1.0 M. Likewise, the radius of gyration RG, obtained from static light scattering experiments, varies by 15% from 699 to 830 A over the same NaCl range Dplat, the diffusion coefficient of the internal subunits, displays a different dependence on the NaCl concentration and decreases, by nearly 22% in a titratable fashion, from 12.46 X 10(-8) to 10.26 X 10(-8) cm2/s, when the salt is increased from 100 microM to 1.0 M. A semiquantitative interpretation of these results is provided by analysis of the light scattering data in terms of the circular Rouse-Zimm chain. Rouse-Zimm model parameters are estimated from the experimental results, assuming the circular chains are composed of a fixed number of Gaussian segments, N + 1 = 15. The rms displacement of the internal segments, b, is estimated to be the smallest (442 A) in 100 mM NaCl. Increases of b to 467 A in 100 microM and 524 A in 1.0 M NaCl are observed. Meanwhile, the hypothetical friction factor of the internal subunits, f, progressively increases as the NaCl concentration is raised. It is inferred from the evaluated Rouse-Zimm model parameters that both the static flexibility of the circular chain and diffusive displacements of the internal subunits decrease with increases in NaCl concentration from 100 mM to 1.0 M.(ABSTRACT TRUNCATED AT 400 WORDS)     

The effect of ionic conditions on DNA helical repeat, effective diameter and free energy of supercoiling.

We determined the free energy of DNA supercoiling as a function of the concentration of magnesium and sodium chloride in solution by measuring the variance of the equilibrium distribution of DNA linking number,<(DeltaLk)2>. We found that the free energy of supercoiling changed >1.5-fold over the range of ionic conditions studied. Comparison of the experimental results with those of computer simulations showed that the ionic condition dependence of<(DeltaLk)2>is due mostly to the change in DNA effective diameter, d, a parameter characterizing the electrostatic interaction of DNA segments. To make this comparison we determined values of d under all ionic conditions studied by measuring the probability of knot formation during random cyclization of linear DNA molecules. From the topoisomer distributions we could also determine the changes in DNA helical repeat, gamma, in mixed NaCl/MgCl2 solutions. Both gamma and d exhibited a complex pattern of changes with changing ionic conditions, which can be described in terms of competition between magnesium and sodium ions for binding to DNA.     

Effects of temperature and ATP on the kinetic mechanism and kinetic step-size for E.coli RecBCD helicase-catalyzed DNA unwinding

The kinetic mechanism by which Escherichia coli RecBCD helicase unwinds duplex DNA was studied using a fluorescence stopped-flow method. Single turnover DNA unwinding experiments were performed using a series of fluorescently labeled DNA substrates containing duplex DNA regions ranging from 24 bp to 60 bp. All or no DNA unwinding time courses were obtained by monitoring the changes in fluorescence resonance energy transfer between a Cy3 donor and Cy5 acceptor fluorescent pair placed on opposite sides of a nick in the duplex DNA. From these experiments one can determine the average rates of DNA unwinding as well as a kinetic step-size, defined as the average number of base-pairs unwound between two successive rate-limiting steps repeated during DNA unwinding. In order to probe how the kinetic step-size might relate to a mechanical step-size, we performed single turnover experiments as a function of [ATP] and temperature. The apparent unwinding rate constant, kUapp, decreases with decreasing [ATP], exhibiting a hyperbolic dependence on [ATP] (K1/2=176(+/-30) microM) and a maximum rate of kUapp=204(+/-4) steps s(-1) (mkUapp=709(+/-14) bp s(-1)) (10 mM MgCl2, 30 mM NaCl (pH 7.0), 5% (v/v) glycerol, 25.0 degrees C). kUapp also increases with increasing temperature (10-25 degrees C), with Ea=19(+/-1) kcal mol(-1). However, the average kinetic step-size, m=3.9(+/-0.5) bp step(-1), remains independent of [ATP] and temperature. This indicates that even though the values of the rate constants change, the same elementary kinetic step in the unwinding cycle remains rate-limiting over this range of conditions and this kinetic step remains coupled to ATP binding. The implications of the constancy of the measured kinetic step-size for the mechanism of RecBCD-catalyzed DNA unwinding are discussed.     

Statistical mechanics of sequence-dependent circular DNA and its application for DNA cyclization

DNA cyclization is potentially the most powerful approach for systematic quantitation of sequence-dependent DNA bending and flexibility. We extend the statistical mechanics of the homogeneous DNA circle to a model that considers discrete basepairs, thus allowing for inhomogeneity, and apply the model to analysis of DNA cyclization. The theory starts from an iterative search for the minimum energy configuration of circular DNA. Thermodynamic quantities such as the J factor, which is essentially the ratio of the partition functions of circular and linear forms, are evaluated by integrating the thermal fluctuations around the configuration under harmonic approximation. Accurate analytic expressions are obtained for equilibrium configurations of homogeneous circular DNA with and without bending anisotropy. J factors for both homogeneous and inhomogeneous DNA are evaluated. Effects of curvature, helical repeat, and bending and torsional flexibility in DNA cyclization are analyzed in detail, revealing that DNA cyclization can detect as little as one degree of curvature and a few percent change in flexibility. J factors calculated by our new approach are well consistent with Monte Carlo simulations, whereas the new theory has much greater efficiency in computations. Simulation of experimental results has been demonstrated.     

Equilibrium and kinetic studies of oxygen binding to the haemocyanin from the freshwater snail Lymnaea stagnalis.

The binding of oxygen by the haemocyanin of the gastropod Lymnaea stagnalis was studied by equilibrium and kinetic methods. The studies were performed under conditions in which the haemocyanin molecule was in the native state. Over the pH range 6.8-7.6, in the presence of 10mM-CaCl2 the haemocyanin bound O2 cooperatively. Over this pH range the haemocyanin molecule displayed a normal Bohr effect whereby the O2 affinity of the molecule decreased with a fall in the pH of the solution. The maximum slope of the Hill plot (hmax.) was 3.5, obtained at pH 7.5. An increase in the CaCl2 concentration from 5 to 20 mM at pH 6.8 resulted in a slight increase in the oxygen affinity, with hmax. remaining virtually unchanged. At constant pH and CaCl2 concentration, an increase in NaCl concentration from 0 to 50 mM resulted in a small decrease in O2 affinity, but a significant increase in the value of hmax. from 3.5 to 8.6. Temperature-jump relaxation experiments over a range of O2 concentrations produced single relaxation times. The dependence of the relaxation time on the reactant concentrations indicated a simple bimolecular binding process. The calculated association and dissociation rate constants for this process at pH 7.5 are 29.5 X 10(6) M-1 X S-1 and 49 S-1 respectively. The association rate constant kon was found to be essentially independent of pH and CaCl2 concentration. The dissociation rate constant, koff, however, increased with a decrease in the pH, but was also independent of CaCl2 concentration. These results indicate that the stability of the haemocyanin-O2 complex is determined by the dissociation rate constant.     

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.     

Temperature dependence of the yield shear resultant and the plastic viscosity coefficient of erythrocyte membrane. Implications about molecular events during membrane failure.

Structural failure of the erythrocyte membrane in shear deformation occurs when the maximum shear resultant (force/length) exceeds a critical value, the yield shear resultant. When the yield shear resultant is exceeded, the membrane flows with a rate of deformation characterized by the plastic viscosity coefficient. The temperature dependence of the yield shear resultant and the plastic viscosity coefficient have been measured over the temperature range 10-40 degrees C. Over this range the yield shear resultant does not change significantly (+/- 15%), but the plastic viscosity coefficient changes exponentially from a value of 1.3 X 10(-2) surface poise (dyn s/cm) at 10 degrees C to a value of 6.2 X 10(-4) surface poise (SP) at 40 degrees C. The different temperature dependence of these two parameters is not surprising, inasmuch as they characterize different molecular events. The yield shear resultant depends on the number and strength of intermolecular connections within the membrane skeleton, whereas the plastic viscosity depends on the frictional interactions between molecular segments as they move past one another in the flowing surface. From the temperature dependence of the plastic viscosity, a temperature-viscosity coefficient, E, can be calculated: eta p = constant X exp(--E/RT). This quantity (E) is related to the probability that a molecular segment can "jump" to its next location in the flowing network. The temperature-viscosity coefficient for erythrocyte membrane above the elastic limit is calculated to be 18 kcal/mol, which is similar to coefficients for other polymeric materials.     

Self-association equilibria of Escherichia coli UvrD helicase studied by analytical ultracentrifugation

The Escherichia coli UvrD protein (helicase II) is an SF1 superfamily helicase required for methyl-directed mismatch repair and nucleotide excision repair of DNA. We have characterized quantitatively the self-assembly equilibria of the UvrD protein as a function of [NaCl], [glycerol], and temperature (5-35 degrees C; pH 8.3) using analytical sedimentation velocity and equilibrium techniques, and find that UvrD self-associates into dimeric and tetrameric species over a range of solution conditions (t相似文献   

Action mechanism of Escherichia coli DNA photolyase. I. Formation of the enzyme-substrate complex

Escherichia coli DNA photolyase (photoreactivating enzyme) is a flavoprotein. The enzyme binds to DNA containing pyrimidine dimers in a light-independent step and, upon illumination with 300-600 nm radiation, catalyzes the photosensitized cleavage of the cyclobutane ring thus restoring the integrity of the DNA. We have studied the binding reaction using the techniques of nitrocellulose filter binding and flash photolysis. The enzyme binds to dimer-containing DNA with an association rate constant k1 estimated by two different methods to be 1.4 X 10(6) to 4.2 X 10(6) M-1 S-1. The dissociation of the enzyme from dimer-containing DNA displays biphasic kinetics; for the rapidly dissociating class of complexes k2 = 2-3 X 10(-2) S-1, while for the more slowly dissociating class k2 = 1.3 X 10(-3) to 6 X 10(-4) S-1. The equilibrium association constant KA, as determined by the nitrocellulose filter binding assay and the flash photolysis assay, was 4.7 X 10(7) to 6 X 10(7) M-1, in reasonable agreement with the values predicted from k1 and k2. From the dependence of the association constant on ionic strength we conclude that the enzyme contacts no more than two phosphodiester bonds upon binding; this strongly suggests that the pyrimidine dimer is the main structural determinant of specific photolyase-DNA interaction and that nonspecific ionic interactions do not contribute significantly to substrate binding.     

Torsional constant of 27-mer DNA oligomers of different sequences.

We have studied the torsional elastic constant (alpha) of short DNA (27mer) oligomers of various sequence by fluorescence polarization anysotropy (FPA) measurements. The lowest alpha values were found in samples with sequence rich in AA dinucleotides or containing the alternating d(A-T) x d(A-T) motif. The torsional rigidity of our DNA samples was compared to that calculated according to the current values of twist angle fluctuations derived for ten dinucleotide steps by recent analyses of DNA crystal structure database. The values of torsional rigidity derived from crystals are higher than our experimental ones, obtained by FPA analysis, suggesting that packing force in crystals may notably hinder the dinucleotide twist angle fluctuations that occur in solution. This behaviour is more evident for samples containing AA, TA and AT steps. In all the samples there is about a twofold change of the alpha value in the 10-40 degrees C range. An activation enthalpy (Delta H (#)) of about 17.4 kJ mol(-1), on average, was obtained for the temperature dependence of eight of the ten samples studied. A correlation with the stacking energy is discussed.     

Protein . nucleic-acid reaction kinetics. Theoretical analysis of the binding reaction between DNA and RNA polymerase.

This paper presents methods developed in order to analyze experimental results concerning the binding of Escherichia coli DNA-dependent RNA polymerase to DNA at high and at low DNA concentrations, using the filter retention assay. The basis hypotheses, under which the mathematical expressions for describing the kinetics of binding are derived, are as follows. (a) At low DNA concentration: equivalence and independence of the specific binding sites; first-order dependence of the binding reaction on both DNA and protein concentration. (b) At high DNA concentration: equivalence and independence of the non-specific binding sites; no direct transfer or one-dimensional sliding of the protein along the DNA. Comparison between theoretical predictions and experimental results at high DNA concentration will allow one to determine the relative value of the rates of binding of RNA polymerase to different promoters (between 1 and 2 in T5 DNA). Binding experiments performed at low DNA concentration are reported in this paper: these results and the analysis which is reported allow one to determine the value of the rate constant of formation of non-filterable complexes for the system fd DNA (replicative form) . RNA-polymerase (kappa a = 3.3 X 10(8) M-1 s-1 in 0.1 M NaCl, 0.01 M MgCl2).     

Binding kinetics of ecotropic (Moloney) murine leukemia retrovirus with NIH 3T3 cells.

A quantitative analysis of the binding kinetics of intact Moloney murine leukemia retrovirus (MoMuLV) particles with NIH 3T3 cells was performed with an immunofluorescence flow cytometry assay. The virus-cell binding equilibrium dissociation constant (KD), expressed in terms of virus particle concentration, was measured to be 8.5 (+/- 6.4) x 10(-12) M at 4 degrees C and was three- to sixfold lower at temperatures above 15 degrees C. The KD of virus binding is about 1,000-fold lower than the KD of purified MoMuLV envelope. The association rate constant was determined to be 2.5 (+/- 0.9) x 10(9) M-1 min-1 at 4 degrees C and was 5- to 10-fold higher at temperatures above 15 degrees C. The apparent dissociation rate constant at 4 degrees C was 1.1 (+/- 0.4) x 10(-3) min-1 and was doubled for every 10 degrees C increase in temperature over the range tested (15 to 37 degrees C).     

Kinetics and mechanism in the reaction of gene regulatory proteins with DNA

We have measured the kinetic properties of the Escherichia coli cAMP receptor protein (CAP) and lac repressor interacting with lac promoter restriction fragments. Under our reaction conditions (10 mM-Tris X HCl (pH 8.0 at 21 degrees C), 1 mM-EDTA, 10 microM-cAMP, 50 micrograms bovine serum albumin/ml, 5% glycerol), the association of CAP is at least a two-step process, with an initial, unstable complex formed with rate constant kappa a = 5(+/- 2.5) X 10(7) M-1 s-1. Subsequent formation of a stable complex occurs with an apparent bimolecular rate constant kappa a = 6.7 X 10(6) M-1 s-1. At low total DNA concentration, the dissociation rate constant for the specific CAP-DNA complex is 1.2 X 10(-4) s-1. The ratio of formation and dissociation rate constants yields an estimate of the equilibrium constant, Keq = 5 X 10(10) M-1, in good agreement with static results. We observed that the dissociation rate constant of both CAP-DNA and repressor-DNA complexes is increased by adding non-specific "catalytic" DNA to the reaction mixture. CAP dissociation by the concentration-dependent pathway is second-order in added non-specific DNA, consistent with either the simultaneous or the sequential participation of two DNA molecules in the reaction mechanism. The results imply a role for distal DNA in assembly-disassembly of specific CAP-DNA complexes, and are consistent with a model in which the subunits in the CAP dimer separate in the assembly-disassembly process. The dissociation of lac repressor-operator complexes was found to be DNA concentration-dependent as well, although in contrast to CAP, the reaction is first-order in catalytic DNA. Added excess operator-rich DNA gave more rapid dissociation than equivalent concentrations of non-specific DNA, indicating that the sequence content of the competing DNA influences the rate of repressor dissociation. The simplest interpretation of these observations is that lac repressor can be transferred directly from one DNA molecule to another. A comparison of the translocation rates calculated for direct transfer with those predicted by the one-dimensional sliding model indicates that direct transfer may play a role in the binding site search of lac repressor.     

Thermal denaturation of DNA in concentrated salt-free solutions: comparison of microcalorimetric and spectrophotometric data

Scanning microcalorimetry and spectrophotometry were used to study the dependence of melting enthalpy (delta Hm) and temperature (Tm) on DNA concentration in salt free solutions and on NaCl concentration in solutions with constant DNA concentration. This data is used to calculate the Manning's charge density parameter which is found to be equal 1.8. The linear dependence of Tm on the logarithm of DNA concentration in salt free solution was obtained. An approximate evaluation of dissociation degree in native DNA at different concentrations was made by comparison of straight lines in the Tm = f(lg CNaCl) and Tm = f(lg Cp) coordinates.     

Topological distributions and the torsional rigidity of DNA. A Monte Carlo study of DNA circles

Distributions of the linking number of circular DNA molecules, defined as the sum of twist and the writhing number, are obtained by Monte Carlo simulations of small, randomly closed DNA circles. We estimate the relative contributions of fluctuations in twist and writhe to the linking number distribution, as functions of DNA size. Published experimental data on topoisomer distributions in circular DNA molecules are interpreted to estimate the torsional rigidity of DNA in solution. We show that ignoring the writhe component of the linking number distribution, even for DNA circles as small as 250 base-pairs, leads to an underestimate for the torsional stiffness of the double helix. The value of the torsional modulus obtained from this analysis, C = 3.4 X 10(-19) erg cm, is from 10 to 40% larger than that estimated by others and more than twice as large as the values obtained from fluorescence depolarization or other time-resolved spectroscopic measurements. We also develop further the theoretical treatment of ring closure probabilities for DNA described in the previous article. It is shown that the torsional part of the ring closure probability, phi 0,1 (tau 0) is a periodic function of DNA length that contributes strongly to the ring closure probability for short chains but makes negligible contributions for chains over 1000 base-pairs in length.