The conformation of single stranded oligonucleotides and of oligonucleotide-oligopeptide complexes from their rotation relaxation in the nanosecond time range

Kinetics of the B-A transition of DNA: analysis of potential contributions to a reaction barrier

Because of open problems in the relation between results obtained by relaxation experiments and molecular dynamics simulations on the B-A transition of DNA, relaxation measurements of the B-A dynamics have been extended to a wider range of conditions. Field-induced reaction effects are measured selectively by the magic angle technique using a novel cell construction preventing perturbations from cell window anisotropy. The kinetics was recorded for the case of poly[d(AT)] up to the salt concentration limit of 4.4 mM, where aggregation does not yet interfere. Now experimental data on the B-A dynamics are available for poly[d(AT)] at salt concentrations of 0.18, 0.73, 2.44 and 4.4 mM. In all cases, a spectrum of time constants is found, ranging from ~ 10 μs up to components approaching ~ 1 ms. The relatively small dependence of these data on the salt concentration indicates that electrostatic effects on the kinetics are not as strong as may be expected. The ethanol content at the transition center is a linear function of the logarithm of the salt concentration, and the slope is close to that expected from polyelectrolyte theory. The B-A transition dynamics was also measured in D₂O at a salt concentration of 2.4 mM: the center of the transition is found at 20.0 mol/l H₂O and at 20.1 mol/l D₂O with an estimated accuracy of ± 0.1 mol/l; the spectrum of time constants at the respective transition centers is very similar. The experimental results are discussed regarding the data obtained by molecular dynamics simulations.

Boundary conditions for free A-DNA in solution and the relation of local to global DNA structures at reduced water activity

Because of repeated claims that A-DNA cannot exist without aggregation or condensation, the state of DNA restriction fragments with 84–859 bp has been analyzed in aqueous solutions upon reduction of the water activity. Rotational diffusion times τ^d measured by electric dichroism at different water activities with a wide variation of viscosities are normalized to values τ^c at the viscosity of water, which indicate DNA structures at a high sensitivity. For short helices (chain lengths \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {\ell} $$\end{document}ℓ ≤ persistence length p), cooperative formation of A-DNA is reflected by the expected reduction of the hydrodynamic length; the transition to the A-form is without aggregation or condensation upon addition of ethanol at monovalent salt ≤1 mM. The aggregation boundary, indicated by a strong increase of τ^c, is shifted to higher monovalent salt (≥4 mM) when ethanol is replaced by trifluoroethanol. The BA transition is not indicated anymore by a cooperative change of τ^c for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {\ell} $$\end{document}ℓ » p; τ^c values for these long chains decrease upon reduction of the water activity continuously over the full range, including the BA transition interval. This suggests a non-cooperative BC transition, which induces DNA curvature. The resulting wide distribution of global structures hides changes of local length during the BA transition. Free A-DNA without aggregation/condensation is found at low-salt concentrations where aggregation is inhibited and/or very slow. In an intermediate range of solvent conditions, where the A-form starts to aggregate, a time window remains that can be used for analysis of free A-DNA in a quasi-equilibrium state.

Electro-optical analysis of macromolecular structure and dynamics

Electro-optical effects are induced by external electric field pulses applied to solutions or suspensions and are recorded by various optical techniques. These effects are very useful for the characterization of macromolecular structures and their dynamics in solution. One of the field-induced effects is alignment of molecular dipoles, which can be detected at a very high sensitivity by measurements of the dichroism or the birefringence. Stationary values of these optical parameters recorded at different electric field strengths can be used to characterize dipole moments and to determine the orientation of chromophores with respect to the dipole vector. The transients reflect rotational diffusion, providing a particularly accurate measure of size and shape. The internal flexibility is also reflected in these transients. Another type of field-induced effect is chemical relaxation, which can be detected selectively and is very useful for the characterization of reactions, like ligand binding and conformation changes. The techniques based on electric field effects are unique in the sense that problems can be solved, which are difficult or even impossible to be sorted out by other techniques.

Structures during binding of cAMP receptor to promoter DNA: promoter search slowed by non-specific sites

The kinetics of cAMP receptor (CAP) binding to promoter DNA has been studied by stopped-flow electric-dichroism at a reduced salt concentration, where the coupling of non-specific and specific binding can be observed directly. Amplitudes, rise and decay times of dichroism transients provide detailed information about the reaction and the structure of intermediates over more than six orders of magnitude on the time scale. CAP binding during the first milliseconds after mixing is indicated by an increase of both rise- and decay-time constants. A particularly large increase of rise times reflects initial formation of non-symmetric complexes by protein binding to non-specific sites at DNA ends. The increase of the hydrodynamic dimensions continues up to ~1 s, before a decrease of time constants reflects transition to compact states with bent DNA up to the time range of ~10(3) s. The slow approach to CAP-induced DNA bending is due to non-specific complexes, which are formed initially and are converted slowly to the specific complex. At the salt concentration of 13.5 mM, conversion to specific complexes with bent DNA is completed after ~40 s at pH 8 compared to >10(3) s at pH 7, resulting from a higher affinity of CAP to non-specific sites at pH 7 than 8 by a factor of ~100. Thus, under the given conditions non-specific sites delay rather than facilitate formation of the specific complex with bent DNA. Experimental data obtained for a non-specific DNA clearly indicate the impact of pseudo-sites. The different electro-optical parameters have been combined in global fits.

Electric birefringence at small angles from crossed position: enhanced sensitivity and special effects

Measurements of electric birefringence with increased sensitivity are possible using lasers with high intensity and stability, provided that perturbations resulting from stray light and strain in cell windows can be reduced. A new type of cell window is designed for minimal strain and is used in a standard birefringence setup with optimized components. The new instrument is characterized by a stray-light constant of 2 × 10(-7) and a negligible residual birefringence. Thus, measurements can be extended to small angles from the crossed position providing birefringence signals of high amplitudes at favorable signal-to-noise ratios. Special effects at small angles from the crossed position like a divergent increase of relative amplitudes to extreme values, a nonlinear response, a new type of electro-optical anomaly, and a simple bypass around this anomaly are observed and shown to be consistent with the theory. The technique proves to be particularly useful for measurements at physiological salt concentrations, where signals for most systems are too small under conventional conditions.

Allosteric control of promoter DNA bending by cyclic AMP receptor and cyclic AMP

The structure of the cyclic AMP receptor-promoter complex in solution was studied in the range of 0.2-50 microM cAMP by measurements of the electric birefringence at 0.1 M salt using a lac promoter DNA with 121 bp and with the CAP binding site at its center. An excess of protein required for complete conversion of the promoter DNA into the specific complex seems to be partly due to nonspecific binding. The specific complex is associated with a decay time constant of 1.36 micros at 3 degrees C, a positive birefringence, and a permanent dipole moment demonstrated by pulse reversal. These attributes were observed at cAMP concentrations between 3 and 50 muM and are characteristic of the specific complex. Model calculations demonstrate that the DNA bending angle under these conditions is 92 degrees . The observed positive birefringence does not result from the combination of the calculated quasi-permanent dipole and the orientation of the helix axes alone but is due to coupling of translational and rotational diffusion. When the cAMP concentration is decreased below 3 microM, the positive birefringence turns to a negative one with a transition center at 1.5 microM. The transition is too narrow for a model with induction of the specific cyclic AMP receptor-promoter complex after binding of a single cAMP to the cyclic AMP receptor dimer but is consistent with induction of this complex after binding of two cAMP molecules. The cyclic AMP receptor-promoter complex is driven into its specific bent form in vitro in the range of cAMP concentrations corresponding to that required for gene regulation in vivo.

Unique Physical Signature of DNA Curvature and Its Implications for Structure and Dynamics

A particularly sensitive birefringence technique is used to analyze a curved DNA fragment with 118 bp and a standard DNA with 119 bp. At salt concentrations from 0.5 to 10 mM, both fragments show the usual negative stationary birefringence and monotonic transients - differences are relatively small. At 100 mM salt the curved DNA shows a positive stationary birefringence and non-monotonic transients with processes having amplitudes of opposite sign, whereas signals of the standard DNA remain as usual. Transients induced by reversal of the field vector indicate the existence of a permanent dipole for the curved DNA. 2-MHz-ac pulses induce a negative stationary birefringence in both DNAs. These results are consistent with calculations on models for curved DNA predicting a quasi-permanent dipole and a positive dichroism/birefringence. The quasi-permanent dipole results from the loss of symmetry in the charge distribution of the curved polyelectrolyte. The appearance of the unique signature of curvature at high salt is mainly due to a strong decrease of the polarizability by about 2 orders of magnitude. The special mode of orientation resulting from the quasi-permanent dipole is expected to contribute to the gel migration anomaly. The time constants of birefringence decay for the curved fragment are shorter than those of the 119 bp fragment by a factor of approximately 1.10 at 0.6 mM salt, whereas this factor is approximately 1.20 at 100 mM Na+. If both fragments were normal DNA with 3.4 A rise per base pair, the factor would be approximately 1.02. At high salt and high electric field strengths the factor increases up to 1.37. The implications for the bending dynamics and the potential to distinguish static from dynamic persistence by field reversal experiments are discussed. The dependence of the curvature on the salt concentration indicated by the time constants is consistent with a clear decrease of the electrophoretic anomaly at decreasing salt concentration.

The dynamics of the B-A transition of natural DNA double helices

The dynamics of the B-A transition of DNA double helices with different GC contents and various chain lengths has been characterized by an electric field pulse technique. The field-induced B-A reaction is separated from orientation effects using the magic angle technique. Amplitudes reflecting the B-A reaction are observed selectively in the limited range of ethanol contents, where CD spectra demonstrate the B-A transition. The maximum amplitude appears at 1-2% higher ethanol content than the center of the B-A transition observed by CD because electric field pulses induce a relatively large perturbation from the A- toward the B-form. The relaxation curves measured after pulse termination reflect a spectrum of up to three relaxation processes. For DNA's with approximately 50% GC, the main part of the amplitude ( approximately 75%) is associated with time constants of approximately 2 micros, and another major component appears with time constants of 50-100 micros. These relaxation effects have been observed for DNA samples with 859, 2629, 7160, and 48501 bp. The time constant associated with the main amplitude increases with decreasing GC content from approximately 2 micros at 50% GC to approximately 3 mus at 41% GC and approximately 10 micros at 0% GC at the center of the B-A transition. Model calculations on the kinetics of cooperative linear Ising lattices predict the appearance of a distinct maximum of the mean relaxation time at the center of the transition. The absence of such maximum in our experimental data indicates a low cooperativity of the B-A transition with a nucleation parameter of approximately 0.1. The rate of the B-A transition is lower by approximately 3 orders of magnitude than that predicted by molecular dynamics simulations.

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 approximately 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 approximately 1600 bp are in the range around 10 micros. An additional process with time constants of approximately 100 micros is probably due to nucleation. The same time constants (within experimental accuracy +/-10%) were observed for a poly[d(A-T)] sample with approximately 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.

Multiple conformational states of the hammerhead ribozyme, broad time range of relaxation and topology of dynamics

The dynamics of a hammerhead ribozyme was analyzed by measurements of fluorescence-detected temperature jump relaxation. The ribozyme was substituted at different positions by 2-aminopurine (2-AP) as fluorescence indicator; these substitutions do not inhibit catalysis. The general shape of relaxation curves reported from different positions of the ribozyme is very similar: a fast decrease of fluorescence, mainly due to physical quenching, is followed by a slower increase of fluorescence due to conformational relaxation. In most cases at least three relaxation time constants in the time range from a few microseconds to approximately 200 ms are required for fitting. Although the relaxation at different positions of the ribozyme is similar in general, suggesting a global type of ribozyme dynamics, a close examination reveals differences, indicating an individual local response. For example, 2-AP in a tetraloop reports mainly the local loop dynamics known from isolated loops, whereas 2-AP located at the core, e.g. at the cleavage site or its vicinity, also reports relatively large amplitudes of slower components of the ribozyme dynamics. A variant with an A-->G substitution in domain II, resulting in an inactive form, leads to the appearance of a particularly slow relaxation process (tau approximately 200 ms). Addition of Mg(2+) ions induces a reduction of amplitudes and in most cases a general increase of time constants. Differences between the hammerhead variants are clearly demonstrated by subtraction of relaxation curves recorded under corresponding conditions. The changes induced in the relaxation response by Mg(2+) are very similar to those induced by Ca(2+). The relaxation data do not provide any evidence for formation of Mg(2+)-inner sphere complexes in hammerhead ribozymes, because a Mg(2+)-specific relaxation effect was not visible. However, a Mg(2+)-specific effect was found for a dodeca-riboadenylate substituted with 2-AP, showing that the fluorescence of 2-AP is able to indicate inner sphere complexation. Amplitudes and time constants show that the equilibrium constant of inner sphere complexation is 1.2, corresponding to 55% inner sphere state of the Mg(2+) complexes; the rate constant 6.6 x 10(3) s(-1) for inner sphere complexation is relatively low and shows the existence of some barrier(s) on the way to inner sphere complexes.

Dynamics of the RNA hairpin GNRA tetraloop

The dynamics of RNA hairpin tetraloops of the GNRA type [sequence G- any ribonucleotide (N)-purine (R)-A] was analyzed by fluorescence spectroscopy and by fluorescence-detected temperature-jump relaxation, using RNA oligomers with 2-aminopurine (2AP) substituted in two different positions of the loop sequence, Gp2APpApA (HP1) and GpAp2APpA (HP2), as indicator. The fluorescence of HP1 is much higher than that of HP2, indicating a lower degree of 2AP-stacking in HP1. Addition of Mg(2+) or Ca(2+) ions leads to an increase of fluorescence in HP1, whereas a decrease of fluorescence is observed in HP2. In both cases at least two ion-binding equilibria are required to fit titration data. T-jump experiments using fluorescence detection show a relaxation process with a time constant of 22 micros for HP1, whereas two relaxation processes with time constants 5 and 41 micros, are found for HP2. These results clearly demonstrate the existence of more than the single conformation state detected by NMR analysis. The T-jump amplitudes decrease with increasing bivalent ion concentration, indicating that one of the states is favored in the presence of bivalent ions. The loop relaxation processes are slower than standard stacking processes, probably because of activation barriers imposed by a restricted mobility of loop residues, and are assigned to a stacking rearrangement, probably between the 5' and the 3'-side. A similar process has been observed previously for the anticodon loop of tRNA(Phe). The rate constants of the transition are in the range of 10(4) s(-1) in the case of HP1. The data demonstrate the existence of structures that are not resolved by standard NMR because of fast exchange and are not found by X-ray analysis because of restrictions by crystal packing.

Deconvolution can be used in electrooptic studies to correct for non-ideal electric excitation pulses only when the electric dipole moment of the studied molecules is predominantly induced

The electric field pulses used for most measurements of transient electrooptic properties such as birefringence and dichroism, are rectangular and assumed to be ideal, but in practice do all such pulses have non-zero rise and fall times. Claims have been made that this non-ideality may be taken into account by employing standard deconvolution techniques. We find that this approach yields exact results in the zero electric field limit when the electric dipole moment of the studied macromolecules is predominantly induced. However, for finite electric field strengths and/or macromolecules with partly or fully permanent electric dipole moments, we find that the deconvolution method yields erroneous estimates of the electrooptic relaxation times. When the decay time of the electric pulse and the electrooptic decay time are equal, and the system is operated in the Kerr domain, this systematic error for macromolecules with purely permanent electric dipole moment equals 37%. In a research field where the uncertainty of the reported relaxation times normally is assumed to be only a few percent this is an error that may seriously mislead unsuspecting users. We find that this systematic error can readily be avoided by employing standard numerical integration of a set of coupled first-order differential equations instead of the standard deconvolution techniques.

Interactions of DNA with giant liposomes

DNA interactions with the bilayers of cationic liposomes were studied using a novel model experiment: DNAs were locally injected by a micropipette to a part of a giant unilamellar vesicle. The resulting phenomena were directly observed in optical microscope. Giant unilamellar vesicles (GUVs), about 100 microm in diameter, made of phosphatidylcholines and up to 33 mol% of the natural bioactive cationic amphiphile sphingosine, were obtained by electroformation. The effects of DNAs of different length were tested: (i) 'short' DNAs-oligonucleotide 21b, and calf thymus 250 bp; (ii) 'long' DNAs-plasmid DNAs in super coil or liner form (between 2.7 and 8.0 kbp). DNAs were injected native, as well as marked with the fluorescent dye Hoechst. The resulting membrane topology transformations were monitored in phase contrast, while the DNA distribution was followed in fluorescence. DNA-induced endocytosis was observed due to the DNA/lipid membrane local interactions for all DNAs tested. Some of the DNA in the formed complex was associated with the induced endosomes, and some of it remained spread over the 'mother' GUV membrane for all DNAs tested, except for the longest one--the linear plasmid of 8 kbp. The last remained at the 'mother' GUV membrane and was not transported with the induced endosomes to the internal GUV space. Possible mechanisms for DNA/lipid membrane interaction were suggested. One of them involves DNA encapsulation within an inverted micelle included in the lipid membrane. The model observations could help in understanding events associated with interaction of DNA with biological membranes, as well as cationic liposomes/DNA complexes formation in gene transfer processes.

Global structure and flexibility of hairpin ribozymes with extended terminal helices

Global structure and flexibility of three different hairpin ribozyme constructs have been analyzed by measuring their electric dichroism decay in various buffers at temperatures between 2 and 30 degrees C. The hairpin ribozyme is characterized by two independently folding domains A and B that are connected through a hinge and have to interact to enable catalysis. The analyzed constructs feature extended terminal helices 1 and 4 with 27 and 25 bp, respectively, to increase the sensitivity of the molecular rotational diffusion time constants with respect to the interdomain bending angle. Constructs HP1 and HP2 cannot cleave because of a G+1A change at the 3'-side of the cleavage site; in HP1 the helices 2 and 3 that flank the hinge form a continuous double helical segment; in HP2 and HP3, a six nucleotide bulge confers flexibility to the expected bending site; HP3 is a cleavable form of HP2 with a G+1-base. For comparison, a standard RNA double helix with 72 bp was included in our analysis. The dichroism decay curves of the hairpin constructs after pulses of low electric field strengths can be fitted to single exponentials taus, whereas the curves after pulses of high field strengths require two exponentials. In all cases, time constants increase with RNA concentration, indicating intermolecular interactions. Extrapolation of the tausvalues measured in standard buffer (50 mM Tris (pH 7.5) and 12 mM MgCl2) to zero RNA concentration provide values of 112, 93, and 73 ns for HP1, HP2 and HP3, respectively, at 30 degrees C, indicating increasingly compact structures. The 72 bp RNA reference under corresponding conditions did not show a dependence of its decay time constant on the RNA concentration nor on the field strength; its time constant is 175 ns (standard buffer, 30 degrees C). The observation of two relaxation processes for the hairpin constructs at high field strengths indicates stretching to a more elongated state; the fast process with a time constant of the order of 50 ns is assigned to reversion of stretching, the slow process to overall rotation. The overall rotational time of the stretched state at 20 degrees C is close to that for a completely stretched rigid state; at 30 degrees C the experimental values are around 70 % of that expected for a completely stretched rigid state, indicating flexibility and/or residual bending. Bead models were constructed to simulate dichroism decay curves. The time constants observed for the 72 bp RNA are as expected for a rigid rod with a rise of 2.8 A per base-pair. Based on this rise per base-pair for models of a V and a Y-shape, we estimate average bending angles of 80(+/-20) degrees and 105 (+/-25) degrees, respectively, for the catalytically active hairpin ribozyme HP3. The energy required for stretching is of the order of the thermal energy.

Time-resolved analysis of macromolecular structures during reactions by stopped-flow electrooptics

A stopped-flow field-jump instrument and its use for the analysis of macromolecular structure changes during reactions is described. The operation of the new instrument is simple and reliable, owing to a new type of cell construction with electrodes directly integrated in a quartz cuvette: major advantages are the relatively low demand on sample quantities and a high time resolution. The stopped flow is characterized by a dead time of approximately 0.5 ms. Electric field pulses with field strengths up to 20 kV/cm and rise times in the nanosecond range are applied at adjustable times after stop of the flow. The time resolution of the optical detection is up to the nanosecond time range. The instrument may be used for the combination of stopped flow with temperature-jump and field-jump experiments. A particularly useful new application is the analysis of macromolecular reactions by electrooptical measurements, because electrooptical data provide information about structures. This is demonstrated for the intercalation of ethidium into double-helical DNA. The transients, measured at 313 nm, where the signal is exclusively due to ethidium bound to the DNA, demonstrate a relatively high negative dichroism at 0.5 ms after mixing. The absolute value of this negative dichroism increases in the millisecond time range and approaches the equilibrium value within about a second. The dichroism decay time constants demonstrate a clear increase of the effective DNA length due to ethidium binding, already 0.5 ms after mixing; a further increase to the equilibrium value is found in the millisecond time range. The analysis of these data demonstrate the existence of up to three relaxation processes, depending on the conditions of the experiments. The dichroism amplitudes, together with the decay time constants, indicate that all the reaction states found in the present investigation are complexes with insertion of ethidium residues between basepairs. Moreover, the data clearly show the degree of intercalation in the intermediate states, which is very useful information for the quantitative assignment of the mechanism.

The cyclic AMP receptor promoter DNA complex: a comparison of crystal and solution structure by quantitative molecular electrooptics

The complexes formed between the cyclic AMP receptor and three different promoter DNA fragments, including a synthetic 30 bp fragment with the sequence used for determination of the crystal structure, have been analysed in solution by measurements of the electric dichroism (ED) at an ionic strength of 105 mM, using a special instrument based on cable discharge. The ED of the protein is negligible and, thus, the ED of the complexes is determined by the DNA and its orientation relative to the protein. The complex formed between the cyclic AMP receptor with the 30 bp fragment is characterized by a positive ED, indicating that the electric dipole is perpendicular relative to the direction of the helix; moreover, the dipole changes its nature from an induced one for the free DNA to a permanent one of 3.0 x 10(-27) Cm for the complex; both the limiting value of the ED +0.3 and the dichroism decay time constant of 62 ns found for the complex (free DNA: 52 ns; 20 degrees C) demonstrate bending of the DNA double helix. All these parameters are calculated quantitatively from the crystal structure: bead model simulations are used to derive the coefficients of rotational diffusion and to define the center of diffusion, which is the reference for calculation of the dipole vector; the dipole vector is then the basis for calculation of the limit value of the dichroism; the time constants are derived from the diffusion coefficients of the bead model The calculated parameters are in very satisfactory agreement with the experimental ones, demonstrating agreement of the structures in the crystal and in solution with respect to their essential features. These results also demonstrate the utility of electrooptical procedures for a quantitative comparison of crystal or model structures with structures in solution. While the crystal structure has been determined only for the complex with the 30 bp promoter fragment, it has been relatively simple to extend measurements of the ED to complexes formed with a 40 bp and a 203 bp promoter fragment: the data obtained for a 40 bp fragment with the consensus binding sequence are quite similar to those obtained for the 30 bp promoter, whereas the data obtained for the 203 bp promoter clearly show a much higher degree of protein induced bending with a bending angle of approximately 180 degrees.

Electrooptical measurements demonstrate a large permanent dipole moment associated with acetylcholinesterase

Acetylcholinesterase (AChE) from krait (Bungarus fasciatus) venom is a soluble, nonamphiphilic monomer of 72 kDa. This snake venom AChE has been analyzed by measurements of the stationary and the transient electric dichroism at different field strengths. The stationary values of the dichroism are consistent with the orientation function for permanent dipoles and are not consistent with the orientation function for induced dipoles. The permanent dipole moment obtained by least-squares fits for a buffer containing 5 mM MES is 1000 D, after correction for the internal directing field, assuming a spherical shape of the protein. The dipole moment decreases with increasing buffer concentration to 880 D at 10 mM MES and 770 D at 20 mM MES. The dichroism decay time constant is 90 ns (+/- 10%) which is clearly larger than the value expected from the size/shape of the protein and indicates contributions from sugar residues attached to the protein. The dichroism rise times observed at low field strengths are larger than the decay times and, thus, support the assignment of a permanent dipole moment, although it has not been possible to approach the limit where the energy of the dipole in the electric field is sufficiently low compared to kT. The experimental value of the permanent dipole moment is similar to that calculated for a model structure of Bungarus fasciatus AChE, which has been constructed from its amino and acid sequence, in analogy to the crystal structure of AChE from Torpedo californica.

Electrooptical analysis of α-chymotrypsin at physiological salt concentration

The electric dichroism of alpha-chymotrypsin has been measured in a buffer containing 0.1 M Na(+), 10 mM Mg(2+) and 25 mM Tris-cacodylate pH 7.2. The reduced dichroism as a function of the electric field strength can be represented by the orientation function for permanent dipoles and is not consistent with the orientation function for induced dipoles. After correction for the internal directing field, the dipole moment is 1.1 x 10(-27) Cm (+/- 10%), corresponding to 340 D, at 20 degrees C. The assignment of the permanent dipole moment is confirmed by the shape of the dichroism rise curves, which require two exponentials with amplitudes of opposite sign for fitting. The dichroism decay time constants measured in the range of temperatures between 2 and 30 degrees C indicate a temperature induced change of the structure, which is equivalent to an increase of the hydrodynamic radius from r = 26.6 A at 2 degrees C to 28.5 A at 30 degrees C. Our results demonstrate that electrooptical investigations of proteins with a high time resolution can be extended to physiological salt concentrations without serious problems by use of appropriate instruments.

Histone-poly(A) hybrid molecules as tools to block nuclear pores

Histone-poly(A) hybrid molecules were used for transport experiments with resealed nuclear envelopes and after attachment of a cleavable cross-linker (SASD) to identify nuclear proteins. In contrast to histones, the hybrid molecules cannot be accumulated in resealed nuclear envelopes, and in contrast to poly(A), the export of hybrids from preloaded nuclear envelopes is completely impaired. The experiments strongly confirm the existence of poly(A) as an export signal in mRNA which counteracts the nuclear location signals (NLS) in histones. The contradicting transport signals in the hybrid molecules impair translocation through the nuclear pore complex. The failure to accumulate hybrid molecules into resealed nuclear envelopes results from the covalent attachment of polyadenylic acid to histones in a strict 1:1 molar ratio. This was demonstrated in control transport experiments where radiolabeled histones were simply mixed with nonlabeled poly(A) or radiolabeled poly(A) mixed with nonlabeled histones. In comparison, control uptake experiments with histones covalently linked to a single UMP-mononucleotide are strongly enhanced. Such controls exclude the conceivable possibility of a simple masking of the nuclear location signal in the histones by the covalent attached poly(A) moiety. Photoreactive histone-poly(A) hybrid analogs serve to identify nuclear envelope proteins--presumably in the nuclear pore--with molecular weights of 110, 80, and 71.4 kDa.

Electrostatics of hemoglobins from measurements of the electric dichroism and computer simulations

Hemoglobins from normal human cells, from sickle cells, and from horse were investigated by electrooptical methods in their oxy and deoxy forms. The reduced linear dichroism measured as a function of the electric field strength demonstrates the existence of permanent dipole moments in the range of 250-400 Debye units. The reduced limiting dichroism is relatively small (< or = 0.1); it is negative for hemoglobin from sickle cells and positive for the hemoglobins from normal human cells and from horse. The dichroism decay time constants are in the range from about 55 to 90 ns. Calculations of the electrooptical data from available crystal structures are given according to models of various complexity, including Monte Carlo simulations of proton fluctuations with energies evaluated by a finite difference Poisson-Boltzmann procedure. The experimental dipole moments are shown to be consistent with the results of the calculations. In the case of human deoxyhemoglobin, the root mean square dipole is higher than the mean dipole by a factor of about 4.5, indicating a particularly large relative contribution due to proton fluctuations. The ratio of the root mean square dipole to the mean dipole is much smaller (approximately 1.1 to approximately 1.5) for the other hemoglobin molecules. The calculations demonstrate that the dichroism decay time constants are not simply determined by the size/shape of the proteins, but are strongly influenced by the orientation of the dipole vector with respect to the axis of maximal absorbance. The comparison of experimental and calculated electrooptical data provides a useful test for the accuracy of electrostatic calculations and/or for the equivalence of structures in crystals and in solutions.

Structure and dynamics of peptide-polynucleotide complexes

The mode and the dynamics of LysTrpLys-binding to double helical DNA and to single stranded poly(A) has been analyzed by measurements of the chemical relaxation detected by fluorescence and of the rotational diffusion using the electric dichroism. The chemical relaxation, induced by electric field pulses, requires two exponentials for a satisfactory representation, indicating a two step reaction mechanism. The data are consistent with a bimolecular reaction step followed by a relatively slow intramolecular transition, which is expected to reflect "insertion" of the Trp-indole residues between the nucleic acid bases. The experimental data are analyzed quantitatively by global fitting with exact correction of the convolution due to the experimental device. In this procedure a complete set of relaxation curves is fitted directly to the reaction model and, thus artifacts resulting from erroneous assignments of coupled modes are avoided. According to this analysis the bimolecular reaction step is controlled by diffusion. The intramolecular transition in adenylate chains is found to be dependent on the chain length and on the ionic strength I: at I = 2.5 mM the "insertion" rate constant is 3 x 10(4) s-1 for the polymer and 2 x 10(5) s-1 for A(pA)19; the rate constant for poly(A) increases with increasing salt concentration. The corresponding "insertion" rate constant for DNA double helices with 30 kbp is 2.5 x 10(4) s-1. For DNA double helices we find again an increase of the "insertion" rate with increasing salt concentration and with decreasing chain length. The mode of LysTrpLys-binding to double helical DNA is compared with that of LysTyrLys, LysLeuLys and LysGlyLys by measurements of the rotational diffusion of complexes with restriction fragments of different chain lengths. The persistence lengths derived from these measurements do not reveal any special effects resulting from insertion of aromatic residues. Apparently "insertion" of indole rings into double helical DNA does not increase the length of the double helix, which may be attributed to a special form of insertion, e.g. partial insertion. According to these results the interaction of the indole residues of LysTrpLys with DNA double helices is not equivalent to e.g. intercalation of aromatic residues like ethidium-neither with respect to structure nor to dynamics.

Covalent attachment of ribonucleic acids to proteins

As a prerequisite for the synthesis of affinity labels, we describe methods to couple histones to ribonucleic acids. For the synthesis of these covalent hybrid molecules, we used a population of histones H1, H2A, H2B, H3, and H4 from calf thymus and polyadenylic acid with an average chain length of up to 260-280 bases, representing the size of poly(A)-tails from mature mRNAs. Three methods were investigated. (a) Poly(A) containing an 8-N3-A residue was cross-linked to histones by ultraviolet irradiation. (b) The 3'-end of the polynucleotide was connected to a mononucleotide containing an aliphatic amino group, and the resulting poly(A)-derivative was coupled to histones via derivation with a bromoacetyl group. (c) The 3'-end of the polynucleotide was oxidized with sodium periodate and bound covalently to an amino group of the polypeptide. To demonstrate the RNA content of the hybrid molecule, the poly(A) was removed with RNase T2.

Persistence length and bending dynamics of DNA from electrooptical measurements at high salt concentrations

A new electrooptical apparatus has been used to characterize the dichroism decay time constants for a collection of nine blunt-ended DNA restriction fragments in the range of chain lengths from 41 to 256 base-pairs at physiological salt concentrations. The experimental data show an increase of rotational diffusion coefficients, when the monovalent salt concentration is increased from a few mM, used previously for standard electrooptical experiments, to the range of salt concentrations around 100 mM. The presence or absence of 10 mM Mg2+ in a buffer with 100 mM NaCl does not induce any large change of the rotational diffusion. Bending of double helices is reflected by a fast component in the dichroism decay for fragments greater than or equal to 90 bp; the time constant of the first bending mode is 7-9% relative to the time constant of overall rotational diffusion for fragments with 90 to 179 bp at the temperatures 2, 10 and 20 degrees C. Interpretation of the overall rotational diffusion time constants by different models on the hydrodynamics of flexible polymer chains leads to diverging values of the persistence length. The most accurate description is expected from a combination of the rotational diffusion coefficient for rigid rods given by Tirado and Garcia de la Torre (J. Chem. Phys. 73 (1980) 1986) with correction factors derived from Monte Carlo simulations (P.J. Hagerman and B.H. Zimm, Biopolymers 20 (1981) 1481). This model leads to 'average' values of the persistence length of 440, 400 and 380 A at the temperatures 20, 10 and 2 degrees C, respectively (in 110 mM Na+ and 10 mM Mg2+, pH 7.0); the hydrodynamic radius of the helix is approx. 12.5 A. The persistence lengths measured at various monovalent salt concentrations can be represented as a linear function of the reciprocal square root of the ionic strength. The rotational time constants measured for individual fragments at physiological salt show clearly larger deviations from the model average than corresponding time constants measured previously at low salt; 'apparent' persistence lengths of individual fragments as well as their temperature dependence show strong variations. Thus, it is hardly possible to define a 'standard' persistence length for mixed sequences--even though the sequences used in the present investigation do not show clear deviations from standard gel mobilities. These data indicate that formation of individual, sequence-directed structures of DNA fragments is favoured under physiological salt conditions.

Permanent dipole moment of tRNA's and variation of their structure in solution

The structure of six different tRNA molecules has been analyzed in solution by electrooptical measurements and by bead model simulations. The electric dichroism measured as a function of the field strength shows that tRNA's are associated with substantial permanent dipole moments, which are in the range of 1 x 10(-27) cm(identical to 300 D; before correction for the internal directing field). Rotational diffusion time constants of tRNA molecules in their native state at 2 degrees C show a considerable variation. A particularly large value found for tRNA(Tyr) (50 ns) can be explained by its nine additional nucleotide residues. However, remarkable variations remain for tRNA molecules with the standard number of 76 nucleotide residues (tRNA(Phe) [yeast] 41.6 ns, tRNA(Val) [Escherichia coli] 44.9 ns, tRNA(Glu) [E. coli] 46.8 ns; tRNA(Phe) [E. coli] 48.3 ns). These variations indicate modulations of the tertiary structure, which may be due to a change of the L-hinge angle. Bead models are used to simulate both electric and hydrodynamic parameters of tRNA molecules according to the crystal structure of tRNA(Phe) (yeast). The asymmetric distribution of phosphate charges with respect to the center of diffusion leads, under the assumption of a constant charge reduction to 15% by ion condensation, to a theoretical dipole moment of 7.2 x 10(-28) cm, which is in reasonable agreement with the measurements. The dichroism decay curve calculated for tRNA(Phe) (yeast) is also consistent with the measurements and thus the structure in solution and in the crystal must be very similar in this case. However, our measurements also indicate that the structure of some other tRNA's in solution is different, even in cases with the same number of nucleotide residues.

A refined calculation of the solution dimensions of the complex between gene 32 protein and single stranded DNA based on estimates of the bending persistence length

The rotation diffusion coefficient of a complex of GP32, the single stranded DNA binding protein of the bacteriophage T4, with a single stranded DNA fragment with about 270 bases was determined to obtain further information on the flexibility of this particle. The rotation diffusion of these molecules is used as a sensitive measure of the flexibility of different DNA protein complexes. Using the theory of Hagerman and Zimm (Biopolymers 20, 1481 (1981)) and assuming a bending persistence length of about 35 nanometer it can be shown that the axial increment for GP32 complexes with single stranded DNA is close to 0.5 nm per base. The value for the bending persistence length is in agreement with values found for much larger DNA protein complexes using light scattering experiments. This value for the persistence length also implies that the complex is thin. The radius is estimated to be around 1.7 nm, which shows a moderate degree of hydration. With this set of parameters we can describe all the hydrodynamic experiments on GP32 complexes from 76 to more than 7000 bases obtained using electric birefringence, quasi-elastic light scattering and sedimentation experiments performed in our group over the last few years.

The nature of protein dipole moments: experimental and calculated permanent dipole of alpha-chymotrypsin

The electric dichroism of alpha-chymotrypsin has been measured in buffers of various pH values and ion compositions. The stationary dichroism obtained as a function of the electric field strength is not compatible with an induced dipole mechanism and clearly shows that alpha-chymotrypsin is associated with a substantial permanent dipole moment. After correction for the internal directing electric field according to a sphere model, the dipole moment is 1.6 X 10(-27) C m at pH 8.3 (corresponding to 480 D). This value decreases with decreasing pH (to 1.2 X 10(-27) C m at pH 4.2), but is almost independent of the monovalent salt concentration in the range from 2 to 12 mM and of Mg2+ addition up to 1 mM. The assignment of the permanent dipole moment is confirmed by analysis of the dichroism rise curves. The dichroism decay time constants of (31 +/- 1) ns at 2 degrees C can be represented by a spherical model with a radius of 25-26 A, which is consistent with the known X-ray structure. The limiting linear dichroism is slightly dependent on the buffer composition and demonstrates subtle variations of the protein structure. As a complement to the experimental results, electric and hydrodynamic parameters of alpha-chymotrypsin have been calculated according to the known X-ray structure. Bead model simulations provide the center of diffusion, which is used to calculate dipole moments according to the equilibrium charge distribution evaluated from standard pK values.(ABSTRACT TRUNCATED AT 250 WORDS)

An unusual electrooptical effect observed for DNA fragments and its apparent relation to a permanent electric moment associated with bent DNA

Dichroism decay curves of DNA fragments with chain lengths in the range of 179-256 bp show an amplitude inversion suggesting the existence of a positive dichroism component, when these fragments are dissolved at monovalent salt concentrations above approx. 5 mM and are exposed to field pulses with amplitudes and/or lengths above critical values. At the critical values, the unusual dichroism is reflected by an apparent acceleration of the decay curves, which can be fitted by single exponentials with time constants much below the values expected from the DNA contour lengths. The critical pulse amplitudes and lengths decrease with increasing DNA chain length and increasing salt concentration. The experimental data are consistent with results obtained by hydrodynamic and electric model calculations on smoothly bent DNA double helices. The DNA is represented by a string of overlapping beads, which is used to calculate the rotational diffusion tensor and the center of diffusion. The distribution of phosphate charges is asymmetric with respect to this center and thus gives rise to a substantial permanent dipole moment. The magnitude of this dipole moment is calculated as a function of DNA curvature and is used together with experimental values of polarizabilities for simulations of dichroism decay curves. The curves simulated for bent DNA show the same phenomenon as observed experimentally. The ionic strength dependence of the unusual dichroism is explained by an independently observed strong decrease of the polarizability with increasing salt concentration. The field strength dependence is probably due to field-induced bending of double helices driven by the change of the dipole moment. Although our calculations are on rigid models of DNA and thus any flexibility of the double helix has not been considered, we conclude that the essential part of our experimental results can be explained by our model.

Structure of the Tet repressor and Tet repressor-operator complexes in solution from electrooptical measurements and hydrodynamic simulations

The Tet repressor protein and tet operator DNA fragments and their complexes have been analyzed by electrooptical procedures. The protein shows a positive linear dichroism at 280 nm, a negative linear dichroism at 248 nm, and a strong permanent dipole moment of 3.5 X 10(-27) C m, which is independent of the salt concentration within experimental accuracy. Its rotation time constant of 40 ns indicates an elongated structure, which is consistent with a prolate ellipsoid of 100 A for the long axis and 40 A for the short axis. The time constant can also be fitted by a cylinder of length 78 A and diameter 37 A, which is consistent with nuclease protection data reported on repressor-operator complexes, if the cylinder axis is aligned parallel to the DNA axis. Addition of tetracycline induces changes of the limit dichroism but very little change of the rotation time constant. The rotation time constants observed for the operator DNA fragments show some deviations from the values expected from their contour length; however, these deviations remain relatively small. Formation of repressor-operator complexes leads to some increase of the DNA rotation time constants. Simulations by bead models demonstrate that these time constants can be explained without any major change of the hydrodynamic dimension of the components. The data for the complexes are fitted by bead models with smooth bending of the DNA corresponding to a radius of curvature of 500 A, but at the given accuracy, we cannot rule out that the DNA in the complex remains straight or is bent to a smaller radius of approximately 400 A. Thus, binding of the Tet repressor, which is a helix-turn-helix protein as judged from its sequence, to its operator seems to induce minor bending but does not induce strong bending of the DNA double helix.

Electric, optical and hydrodynamic parameters of lac repressor from measurements of the electric dichroism. High permanent dipole moment associated with the protein

Lac repressor and its tryptic core have been investigated by electro-optical methods. The reduced dichroism measured as a function of the electric field strength is not consistent with an induced dipole, but indicates the existence of a strong permanent dipole moment (approximately 4 X 10(-27) C m) for the holo-repressor, which is almost independent of ion concentration and pH. A dominant contribution of a permanent dipole is also demonstrated by the shape of the dichroism rise curve. The experimental data are not consistent with a counterion polarization phenomenon and also do not indicate a major contribution from proton fluctuations. Probably the nature of the dipole is similar to that found for compounds with a tetrahedral substitution by angular residues. Other potential models involve large conformational fluctuations or inherent asymmetry of the lac repressor. Rotation time constants obtained from the dichroism decay are not consistent with a spherical shape, for either the holo- or core repressor. A simple interpretation of the data by prolate ellipsoids suggests a short diameter of 6 nm for both holo- and core repressor and long diameters of 14 and 12 nm for holo- and core repressor, respectively. Addition of the inducer isopropyl-beta-D-thiogalactopyranoside leads to a change of the limit dichroism, but does not affect the rotation time constants within experimental accuracy.

Electro-optical analysis of 'curved' DNA fragments

The structure of some 'short' DNA fragments with 106-108 base-pairs and of a 'long' kinetoplast DNA fragment with 419 base-pairs has been analyzed by electro-optical procedures. According to their electrophoretic mobilities and circularization probabilities, it was concluded that two of our short fragments with clusters of four and five and six adenosines phased at the period of the double helix are inherently curved with an approximate curvature around 200 degrees. The dichroism decay curves of our short fragments exhibited two processes. A fast one with time constants of approx. 100 ns is attributed to bending; the bending amplitudes observed for the fragments with dA4 and dA5/6 clusters are slightly higher (23 and 29%, respectively) than those observed for control fragments (17-20%). The second process reflects the overall rotational diffusion of the whole fragments and shows some variation with the DNA sequence, but on average the rotation of fragments with dA4 and dA5/6 clusters corresponds to that observed for standard DNA. Since the rotational diffusion coefficients are very strongly dependent on the effective hydrodynamic lengths, we must conclude that the effective lengths of our fragments, including the 'curved' ones, are very similar under the conditions of our experiments. The rotation time constant for the long kinetoplast DNA is also rather close to those observed for the usual DNA fragments of corresponding length. One way to resolve the conflict of our results with conclusions obtained from other investigations would invoke the assumption that the curved fragments are not 'elastic'. According to this hypothesis, electric field pulses would stretch the curved fragments to an almost straight form and the stretched DNA would return to its equilibrium state with a time constant longer than the rotation time constant.

Structure and dynamics of double helices in solution: modes of DNA bending

The long range structure of DNA restriction fragments has been analysed by electro-optical measurements. The overall rotation time constants observed in a low salt buffer with monovalent ions is shown to decrease upon addition of Mg2+ or spermine. Since the circular dichroism and also the limiting value of the linear dichroism remain almost constant under these conditions, the effect is attributed to a change of the long range structure. According to a weakly bending rod model, the persistence length decreases from about 600 A in the absence of Mg2+ or spermine to about 350 A in the presence of these ions. The persistence length measured in the presence of Mg2+ is almost independent of temperature in the range of 10 to 40 degrees C. The nature of DNA bending is analysed by measurements of bending amplitudes and time constants from dichroism decay curves. The observed absence of changes in the bending amplitudes upon addition of Mg2+ or spermine, even though addition induces changes of the persistence length by a factor of 2, is hardly consistent with simple thermal bending. The combined results, including the remarkably small temperature dependence of persistence length and bending amplitude, can be explained by the existence of two bending effects: inherent curvature of DNA dominates at low temperature, whereas thermal bending prevails at high temperature. Analysis of bending amplitudes from dichroism decay curves according to an arc model provides an approximate measure for the degree of bending in restriction fragments. The model is consistent with the observed chain length dependence of bending amplitudes and provides an approximate curvature corresponding to a radius of about 400 A. Thus the curvature observed in restriction fragments is similar to that observed for high molecular DNA condensed into toroids by addition of ions like spermine. Particularly strong bending of DNA is induced by [Co(NH3)6]3+, indicated by an apparent persistence length of 200 A and an increased bending amplitude together with a reduced limit value of the linear dichroism. This effect is attributed to the high charge density of this ion and potential site binding.