Dynamics of the B-A transition of DNA double helices

Although the transition from the B-DNA double helix to the A-form is essential for biological function, as shown by the existence of the A-form in many protein–DNA complexes, the dynamics of this transition has not been resolved yet. According to molecular dynamics simulations the transition is expected in the time range of a few nanoseconds. The B–A transition induced by mixing of DNA samples with ethanol in stopped flow experiments is complete within the deadtime, showing that the reaction is faster than ~0.2 ms. The reaction was resolved by an electric field jump technique with induction of the transition by a dipole stretching force driving the A- to the B-form. Poly[d(A-T)] was established as a favourable model system, because of a particularly high cooperativity of the transition and because of a spectral signature allowing separation of potential side reactions. The time constants observed in the case of poly[d(A-T)] with ~1600 bp are in the range around 10 µs. An additional process with time constants of ~100 µs is probably due to nucleation. The same time constants (within experimental accuracy ±10%) were observed for a poly[d(A-T)] sample with ~70 bp. Under low salt conditions commonly used for studies of the B–A transition, the time constants are almost independent of the ionic strength. The experimental data show that a significant activation barrier exists in the B–A transition and that the helical states are clearly separated from each other, in contrast to predictions by molecular dynamics simulations.     

Kinetics and mechanism of the barotropic lamellar gel/lamellar liquid crystal phase transition in fully hydrated dihexadecylphosphatidylethanolamine: a time-resolved x-ray diffraction study using pressure jump.

The kinetics and mechanism of the barotropic lamellar gel (L beta')/lamellar liquid crystal (L alpha) phase transition in fully hydrated 1,2-dihexadecyl-sn-glycero-3-phosphoethanolamine (DHPE) has been studied using time-resolved x-ray diffraction (TRXRD). The phase transition was induced by pressure jumps of varying amplitudes in both the pressurization and depressurization directions at controlled temperature (78 degrees C). Both low- and wide-angle diffracted x rays were recorded simultaneously in live time using an x-ray-sensitive image intensifier coupled to a CCD camera and Super-VHS videotape recorder. Such an arrangement allowed for the direct and quantitative characterization of the long- (lamellar repeat spacing) and short-range order (chain packing) during a kinetic experiment. The image-processed live-time x-ray diffraction data were fitted using a nonlinear least-squares model, and the parameters of the fits were monitored continuously throughout the transition. The pressure-induced transitions from the L alpha to the L beta' phase and from the L beta' to the L alpha phase was two-state (no formation of intermediates apparent during the transition) to within the sensitivity limits of the method. The corresponding transit time (the time during which both phases coexist) associated with the long- and short-range order of the pressurization-induced L alpha-to-L beta' phase transition decreased to a limiting value of approximately 50 ms with increasing pressure jump amplitude. This limiting value was close to the response time of the detector/recording system. Thus, the intrinsic transit time of this transition in fully hydrated DHPE at 78 degrees C was less than or equal to 50 ms. In contrast, the depressurization-induced L beta'-to-L alpha phase transition was slower, taking approximately 1 s to complete, and occurred with no obvious dependence of the transit time on pressure jump amplitude. In the depressurization jump experiment, the lipid responded rapidly to the pressure jump in the L beta' phase up to the rate-determining L beta'-to-L alpha transition. Such behavior was examined carefully, as it could complicate the interpretation of phase transition kinetic measurements.     

Kinetics of the helix-coil transition in DNA

The kinetics of the helix-coil transition have been investigated for T2 and T7 phage DNA in a formamide-water-salt mixed solvent using a slow temperature perturbation technique (applicable to kinetic processes with rate constants ? 3 min^?1). In this solvent degradation of the DNA is effectively suppressed. Complex kinetic curves are observed by absorbance and viscosity measurements for the response to denaturing perturbations in the transition region. Analysis of the decay curves indicates that the denaturation reaction in this time range can be treated as a first-order reaction with a variable first-order rate parameter, k, the derivative of the logarithm of the absorbance or viscosity change with respect to time. In the approach to denaturation equilibrium in the transition region, the rate parameter is determined only by the instantaneous extent of denaturation of the molecules. Near equilibrium, the rate parameter assumes a constant value characteristic of the equilibrium state. In this region, where the denaturation reaction proceeds as a simple first-order process, both the decay of absorbance (reflected local conformational change) and the decay of solution viscosity (reflecting macromolecular conformational change) are characterized by the same constant value of k. In 83% formamide, 0.3M Na⁺, the rate parameter k for T2 DNA decreases from an extrapolated value of 2.0 min^?1 at 0% denaturation to 0.11 min^?1 at 90% denaturation. Rate parameters determined for T7 DNA at the same counterion concentration and fraction of denaturation are approximately five times as large as those cited for T2 DNA, indicating an inverse proportionality of rate constant to molecular length. On the other hand, simple first-order kinetic responses with constant k are obtained for renaturing perturbations within the transition, indicating that the mechanism of rewinding differs, in most cases, from that of unwinding. Only in the limit of very small perturbations about a given equilibrium position are the rate constants k obtained from denaturing and renaturing perturbations equal. For perturbations of finite size, it appears possible that an intramolecular initiation or nucleation event may precede rewinding and limit the rate of this reaction. The rate parameters again are approximately inversely proportional to molecular weight. The one exception to the first-power dependence on molecular weight appears when temperature jumps are made upward into the post-transition region. Here the molecular-weight dependence is second power, but complications arising from the different strand-separation properties of T2 and T7 DNA's make interpretation difficult. The previously used model of friction-limited unwinding appears to fit all the observations except for the molecular-weight dependence.     

Kinetic investigations on the phase transition of phospholipid bilayers

Pressure-jump experiments were performed on vesicles and liposomes of dimyristoyl phosphatidylcholine and dipalmitoyl phosphatidylcholine following the time course of solution turbidity. For both lipids two relaxation effects were evaluated the time constants of which exhibit clear maxima at the midpoint of the phase transition. The time constants lie for vesicles in the 100 μs and 1 ms ranges and for liposomes in the 1 ms and 10 ms ranges. The processes are slightly faster for dimyristoyl phosphatidylcholine than for dipalmitoyl phosphatidylcholine. All relaxation times are concentration-independent. The time constant and amplitude behaviours indicate that all processes are cooperative in agreement with previous interpretations. It is demonstrated that cooperative units can be evaluated from the relaxation amplitudes. These are of the same order of magnitude as those obtained from static experiments. On the grounds of the present kinetic investigation we can state that the application of the linear Ising model to two-dimensional processes as attempted for the static lipid phase transition is inadequate.     

Formation of critical oligomers is a key event during conformational transition of recombinant syrian hamster prion protein

We have investigated the conformational transition and aggregation process of recombinant Syrian hamster prion protein (SHaPrP90-232) by Fourier transform infrared spectroscopy, circular dichroism spectroscopy, light scattering, and electron microscopy under equilibrium and kinetic conditions. SHaPrP90-232 showed an infrared absorbance spectrum typical of proteins with a predominant alpha-helical structure both at pH 7.0 and at pH 4.2 in the absence of guanidine hydrochloride. At pH 4.2 and destabilizing conditions (0.3-2 m guanidine hydrochloride), the secondary structure of SHaPrP90-232 was transformed to a strongly hydrogen-bonded, most probably intermolecularly arranged antiparallel beta-sheet structure as indicated by dominant amide I band components at 1620 and 1691 cm-1. Kinetic analysis of the transition process showed that the decrease in alpha-helical structures and the increase in beta-sheet structures occurred concomitantly according to a bimolecular reaction. However, the concentration dependence of the corresponding rate constant pointed to an apparent third order reaction. No beta-sheet structure was formed within the dead time (190 ms) of the infrared experiments. Light scattering measurements revealed that the structural transition of SHaPrP90-232 was accompanied by formation of oligomers, whose size was linearly dependent on protein concentration. Extrapolation to zero protein concentration yielded octamers as the smallest oligomers, which are considered as "critical oligomers." The small oligomers showed spherical and annular shapes in electron micrographs. Critical oligomers seem to play a key role during the transition and aggregation process of SHaPrP90-232. A new model for the structural transition and aggregation process of the prion protein is described.     

Kinetics of the lamellar-inverse hexagonal phase transition determined by time-resolved X-ray diffraction.

The kinetics of the lamellar (L alpha)-inverse hexagonal (HII) phase transition in diacylphosphatidylethanolamine (PE)--water systems were probed with time-resolved X-ray diffraction. Transition kinetics in the fast time regime (approximately 100 ms) were studied by initiating large temperature jumps (up to 30 degrees C) with a 50-ms electrical current pulse passed through a lipid-salt water dispersion, resulting in ohmic heating of the sample. Diffraction with a time resolution to 10 ms was acquired at the National Synchrotron Light Source. The time constant for the phase transition for 1,2-dioleoyl-sn-glycero-3-phosphoethanolamine (DOPE) was on the order of 100 ms for the largest temperature jumps recorded. Faster transition behavior was found for a 1,2-dielaidoyl-sn-glycero-3-PE mixture. The HII lattice parameters for both systems were seen to swell from an initial value commensurate with the lamellar lattice to the final equilibrium value. The rate of swelling was seen to be independent of the magnitude of the temperature jump. For small temperature jumps (less than 10 degrees C), the phase transition kinetics slow dramatically, and transition studies can readily be performed on a conventional rotating anode X-ray source. At 4 degrees C, a DOPE sample was observed to slowly convert to the hexagonal phase over the course of a week, with the decay in the lamellar intensity fitting a power law behavior over four decades of time. This power law behavior is shown to have interesting consequences to the determination of the phase transition temperature of lipid-water dispersions by conventional methods such as calorimetry.     

The conformational transition of horse heart porphyrin c

The heme iron of horse heart cytochrome c was selectively removed using anhydrous HF. The product, porphyrin c, exhibits the viscosity, far ultraviolet circular dichroic, and fluorescence properties characteristic for native cytochrome c. However, porphyrin c is more susceptible to denaturation by guanidine hydrochloride and by heat than is the parent cytochrome. All of the conformational parameters of porphyrin c exhibit a common reversible transition centered at 0.95 m guanidine hydrochloride at 23 degrees C and pH 7.0. Guanidine denatured porphyrin c refolds in two kinetic phases having time constants of 20 and 200 ms as detected by stopped flow absorbance or fluorescence measurement, with about 80% of the observed change in the faster phase. The kinetics of porphyrin c refolding are not significantly altered by increasing the viscosity of the refolding solvent 15-fold by addition of sucrose. We suggest that the folding of guanidine denatured cytochrome c is not a diffusion-limited process and that the requirement for protein axial ligation elicits the slow (s) kinetic phase observed in the refolding of cytochrome c.     

Conductivity of bilayer lipid membranes in phase transition: the role of intramolecular phosphate-phosphate hydrogen bonds

pH effect on phase transition measured by jump of conductance in the BLM formed from DPPA and thio-DPPA was studied. The difference of pH dependence for these two lipids was shown. The corresponding calculation discovered significance of intermolecular phosphate-phosphate hydrogen bonds in induced conductance of BLM.     

Phase transition kinetics of lipid bilayer membranes studied by time-resolved pressure perturbation calorimetry

The relaxation kinetics of aqueous lipid dispersions after a pressure jump (p-jump) was investigated using time-resolved pressure perturbation calorimetry (PPC). Analysis of the calorimetric response curves by deconvolution with the instrumental response function gives information about slow processes connected with the lipid phase transition. The lipid transition from the gel to the liquid-crystalline state was found to be a multi-step process with relaxation constants in the seconds range resolvable by time-resolved PPC and faster processes with relaxation times shorter than ca. 5 s that could not be resolved by the instrument. The faster processes comprise ca. 50% of the total heat uptake at the transition midpoint. This is the first calorimetric measurement showing the multi-step nature of the transition. The results are in good agreement with data obtained with other detection methods and with molecular modelling experiments describing the transition as a multi-step process with nucleation and growth steps.     

Kinetics of luminal proton binding to the SR Ca-ATPase

An open membrane preparation containing SR Ca-ATPase was prepared from sarcoplasmic-reticulum vesicles to study the ion binding kinetics in the P-E₂ conformation. Because Ca²⁺ and H⁺ binding are electrogenic reactions, fluorescent styryl dyes could be used to determine changes in the binding site occupation in equilibrium titration experiments and time-resolved relaxation processes triggered by a pH jump. By photo release from caged proton the pH of the electrolyte could be decreased in a step of 0.1 pH units by a single ultraviolet-laser flash. Analysis of the pH-jump induced relaxation process in the P-E₂ conformation showed that three Ca-ATPase-specific processes could be identified, fast H⁺ binding (τ < 100 μs) and pH-insensitive conformational relaxations after the release of the Ca²⁺ ion (τ ∼160 ms), and a slow process (τ ∼3.4 s) whose origin could not be unambiguously revealed. The Ca²⁺-binding affinity in the P-E₂ conformation was reduced with increasing pH, a behavior that can be explained by a reversible transition of the empty P-E₂ state to an inactivated state of the ion pump. All findings are interpreted in the framework of the Post-Albers pump cycle introduced previously, supplemented by an additional transition to an inhibited state of the ion pump.     

Effect of the lipid phase transition on the kinetics of H+/OH− diffusion across phosphatidic acid bilayers

The kinetics of H⁺/OH^? diffusion across dimyristoyl phosphatidic acid bilayer membranes was measured by following the absorbance of the pH-sensitive indicator Cresol red ($\text{o-}\text{cresolsulfonphthalein}$) entrapped in single lamellar vesicles after rapidly changing the external pH in a stopped-flow apparatus. The H⁺/OH^?-permeability coefficient was found to be in the 10^?5 to 10^?3 cm·s^?1 range. The lipid phase transition has a strong influence on the permeation kinetics as the permeability coefficients in the liquid-crystalline phase are drastically higher. The permeability shows no maximum at the phase transition temperature as is the case for other ions, but displays a similar temperature dependence as water permeation. This is also reflected in the high activation energy of approx. 20 kcal/mol and supports the hypothesis (Nichols, J.W. and Deamer, D.W. (1980) Proc. Natl. Acad. Sci. U.S.A. 77, 2038–2042) of H⁺/OH^? permeation via hydrogen bonded water molecules. A second slower kinetic phase is also observed, where the permeation is obviously controlled by counterion diffusion. The temperature dependence of this slow process displays the for ion diffusion characteristic maximum in the permeability at the phase-transition temperature.     

pH-induced folding/unfolding of staphylococcal nuclease: determination of kinetic parameters by the sequential-jump method.

On the basis of previous stopped-flow pH-jump experiments, we have proposed that the acid- and alkaline-induced folding/unfolding transition of staphylococcal nuclease, in the time range 2 ms to 300 s, follows the pathway N0 in equilibrium with D1 in equilibrium with D2 in equilibrium with D3, in which D1, D2, and D3 are three substates of the unfolded state and N0 is the native state. The stopped-flow "double-jump" technique has been employed to test this mechanism and to determine the rate constants which would not be accessible by the direct pH jump because of the lack of fluorescence signal, i.e., the rates for the conversion of D1 to D2 and of D2 to D3. In the forward jump, a protein solution kept at pH 7.0 was mixed with an acidic or alkaline solution to the final pH of 3.0 or 12.2, respectively. The mixed solution was kept for varying periods of time, called the delay time, tD. A second mixing (the back jump) was launched to bring the protein solution back to pH 7.0. The time course of the Trp-140 fluorescence signals recovered in the back jump was analyzed as a function of tD. Kinetics of the unfolding were found to be triphasic by the double-jump method, contrary to the monophasic kinetics observed by the direct pH jump. Complex kinetics of unfolding are expected with the proposed kinetic scheme.(ABSTRACT TRUNCATED AT 250 WORDS)     

Mechanistic interpretation of the influence of lipid phase transitions on transport functions.

In an attempt to understand the mechanism by which a structural change of membrane lipids affects transport functions, the temperature dependence of transport rate has been measured to below the low temperature end of the fluid in equilibrium ordered phase transition of the membrane lipids. The unsaturated fatty acid requiring Escherichia coli strain T105 was supplemented with either trans-delta9-octadecenoate or trans-delta9-hexadecenoate or supplemented with and subsequently starved for cis-delta9-octadecenoate. Fluid in equilibrium ordered phase transitions measured in whole cells using the fluorescence probe N-phenyl-1-naphthylamine were compared with the temperature dependence of beta-glucoside and beta-galactoside transport. In addition to the previously observed downward "break" in the Arrhenius plot of transport rate which occurred near the middle of the phase transition temperature range, a second upward "break" was observed which could be correlated with the low-temperature end of the phase transition. These experiments are interpreted in terms of a partitioning of transport proteins between ordered and fluid domains which is described by a lateral distribution coefficient, k. This distribution coefficient varies with the membrane lipid composition as well as with the transport system. Values for k suggest a 2-20-fold preference for the partitioning of transport proteins into the fluid parts of the membrane.     

Kinetic analysis of the acid and the alkaline unfolded states of staphylococcal nuclease

Thermodynamic analysis by differential scanning calorimetry shows that the folding/unfolding transition of staphylococcal nuclease is consistent with the two-state process. Stopped-flow kinetic measurements, monitoring the Trp140 fluorescence and covering five decades in time (2 ms to 300 s), indicate that the unfolding from pH 7.0 to 3.1 is monophasic (time constant 1.15 s) and from pH 7.0 to 12.2 is biphasic (time constants: one less than 2 ms and the other 0.6 s). However, the folding, either from pH 3.1 to 7.0 or from pH 12.2 to 7.0, is triphasic (time constants 150 ms, 850 ms and 30 s from acid, 90 ms, 565 ms and 33 s from alkaline). A simple sequential model, which agrees with the above observations for acidic folding/unfolding is, D3 in equilibrium D2 in equilibrium D1 in equilibrium N. The three Ds denote three sub-states of the unfolded state and N denotes the native state. These sub-states of D have similar enthalpy and tryptophan fluorescence, and their equilibrium cannot be shifted by temperature changes. However, they are kinetically distinctive. Data do not favor alternative mechanisms assuming parallel transitions of the three Ds to N, or complexity of the N state, or parallel transitions of sub-states of N1, N2 and N3 to D. Other more complex, branched or cyclic, kinetics are not considered because of the lack of evidence, pH dependence of the unfolding kinetics suggests that the unfolding is triggered by protonation of 0.8(+/- 0.3) ionizable groups, with a pKa of 3.9 or by deprotonation of 1.6(+/- 0.4) ionizable groups with pKa values near 10.5. Circular dichroisms indicate that these three D states retain nonrandom chain conformation. Possible role of these "chain conformation" in the protein folding is discussed.     

Photothermal studies of pH induced unfolding of apomyoglobin

Conformational dynamic and enthalpy changes associated with pH induced unfolding of apomyoglobin were studied using photoacoustic calorimetry and photothermal beam deflection methods. The transition between the native state and the I intermediate was induced by a nanosecond pH jump from o-nitrobenzaldehyde photolysis. Deconvolution of photoacoustic waves indicates two kinetic processes. The fast phase ( < 50ns) is characterized by a volume expansion of 8.8 ml mol^–1. This process is followed by a volume contraction of about –22 ml mol^–1 ( 500 ns). Photothermal beam deflection measurements do not reveal any volume changes on the time scale between 100 s and 5 ms. We associate the volume contraction with structural changes occurring during the transition between the native state and the I intermediate. The lack of any processes on the ms time scale may indicate the absence of structural events involving larger conformational changes of apomyoglobin after the pH jump.     

Anion effects on equilibria and kinetics of the disorder–order transition of κ-carrageenan

The effect of a number of tetramethylammonium salts on the equilibria and kinetics of the disorder to order transition in the polysaccharide κ-carrageenan have been investigated. Data from the temperature dependence of optical rotation show that anion stabilization of the ordered form follows the lyotropic series I^? > Br^? > NO > Cl^? > F^?. Stopped-flow polarimetry was used to study the kinetics of conformational ordering following a rapid increase in salt concentration. The transition to the new equilibrium position was shown to be biphasic for all of the tetramethylammonium salts studied. The rate equation for the fast phase and the temperature dependence of the observed forward rate constant accord with a cooperative dimerization process. Activation parameters for helix nucleation, ΔH^* and ΔS^*, vary with both salt concentration and (at constant ionic strength) the anion type, increasing through the lyotropic series from I^? to F^?. The slow phase shows second-order kinetics, and is interpreted as further stabilization of the ordered form either through limited aggregation or annealing. The rate constant for the slow phase also follows the lyotropic series. Thus we have shown that both the growth and nucleation processes are anion dependent.     

Electrostatic interactions at charged lipid membranes Kinetics of the electrostatically triggered phase transition

Charged lipid membranes of dimyristoylmethylphosphatidic acid were mixed rapidly in a stopped-flow cell with protons or Ca²⁺ to compensate the charges and thereby trigger the ordered-fluid phase transition. The kinetics of the transition was studied by following the time development of the fluorescence anisotropy of diphenylhexatriene. A relaxation process was observed with a characteristic time in the range 10–200 ms. By comparison with existing theories of non-equilibrium relaxation it was concluded that the relaxation process is governed by a nucleation step.     

Kinetics and mechanism for the conformational transition in p-guanidinobenzoate bovine trypsinogen induced by the isoleucine-valine dipeptide

The interaction between p-guanidinobenzoate-trypsinogen and the isoleucine-valine dipeptide has been investigated by temperature-jump relaxation spectrometry. Using the absorbance at 281 nm the concentration dependence of the relaxation parameters is consistent with the conventional induced-fit model: rapid ligand binding coupled to a slower intramolecular change; some alternative mechanisms can be excluded. At 296 K, 0.1 M Tris HCl, pH = 7.4, the dissociation equilibrium constant for the overall process is K = 5.1(+/- 0.2) X 10(-5) M; for the binding step K1 = 2.3(+/- 0.3) X 10(-3) M and the rate constants for the structural change are k2 = 26(+/-6)s-1 and k-2 = 0.61(+/- 0.04)s-1; the overall dissociation reaction enthalpy is delta H0 = 26(+/-6)KJmol-1 and the reactiom entropy is delta S0 = 4(+/- 20) kJ-1 mol-1. In combination with CD and X-ray crystallographic data, the results of this study suggest that the binding of the dipeptide to a trypsinogen-like, partially disordered conformation induces a transition to a trypsin-like highly ordered structure.     

Time-resolved infrared spectroscopy of pH-induced aggregation of the Alzheimer Abeta(1-28) peptide

Aggregation of the Alzheimer's disease-related Aβ_1-28 peptide was induced by a rapid, sub-millisecond pH jump and monitored by time-resolved infrared spectroscopy on the millisecond to second time-scale. The release of protons was induced by the photolysis of a caged compound, 1-(2-nitrophenyl)ethyl sulfate (NPE-sulfate). The pH jump generated in our experimental setup is used to model the Aβ peptide structural conversions that may occur in the acidic endosomal/lysosomal cell compartment system. The aggregation of the Aβ_1-28 peptide induced by the pH jump from 8.5 to < 6 yields an antiparallel β-sheet structure. The kinetics of the structural transition is biphasic, showing an initial rapid phase with a transition from random coil to an oligomeric β-sheet form with a time constant of 3.6 s. This phase is followed by a second slower transition, which yields larger aggregates during 48.0 s.     

Effects of hydrostatic pressure on bilayer phase behavior and dynamics of dilauroylphosphatidylcholine.

Deuterium nuclear magnetic resonance spectroscopy was used to study the thermotropic phase behavior of dilauroylphosphatidylcholine (DLPC) bilayers at pressures up to 221 MPa. Pressure was found to separate the liquid crystal to gel transition from the gel to ordered crystalline phase transition. The jump in chain order observed on cooling through the transition into the gel phase was found to be small and thus consistent with the trend in longer chain saturated diacyl phosphatidylcholines. On cooling, DLPC was observed to enter an unusual state above the transition into the gel phase. This unusual state displayed fluid-like conformational order but short transverse relaxation times. It was found to be much better pronounced and to span a broader temperature range at elevated pressure than at lower pressures. Transverse relaxation measurements of deuterons on the chain alpha-carbons revealed a substantial slowing of molecular motions within the temperature range of the unusual fluid phase. The observation of such a phase at high pressure appears to be consistent with recent reports of an unusual fluid phase, Lx, in DLPC at ambient pressure.