DNA conformational studies from electron microscopy. I. Excluded volume effect and structure dimensionality

Approaches for Determining DNA Persistence Length Using Atomic Force Microscopy

Atomic force microscopy (AFM) is widely used to image and study biological molecules. As an example, we have utilized AFM to investigate how the mechanical properties of DNA polymers depend on electrostatics and the strength of DNA base stacking by studying double-stranded DNA molecules incorporating several different neutral and charged base modifications. Here we describe ten complementary approaches for determining DNA persistence length by AFM imaging. The combination of different approaches provides increased confidence and statistical reliability over existing methods utilizing only a single approach.

Method combining BAC film and positive staining for the characterization of DNA intermediates by dark-field electron microscopy

DNA intermediate structures are formed in all major pathways of DNA metabolism. Transmission electron microscopy (TEM) is a tool of choice to study their choreography and has led to major advances in the understanding of these mechanisms, particularly those of homologous recombination (HR) and replication. In this article, we describe specific TEM procedures dedicated to the structural characterization of DNA intermediates formed during these processes. These particular DNA species contain single-stranded DNA regions and/or branched structures, which require controlling both the DNA molecules spreading and their staining for subsequent visualization using dark-field imaging mode. Combining BAC (benzyl dimethyl alkyl ammonium chloride) film hyperphase with positive staining and dark-field TEM allows characterizing synthetic DNA substrates, joint molecules formed during not only in vitro assays mimicking HR, but also in vivo DNA intermediates.

Approaches for Determining DNA Persistence Length Using Atomic Force Microscopy

Atomic force microscopy (AFM) is widely used to image and study biological molecules. As an example, we have utilized AFM to investigate how the mechanical properties of DNA polymers depend on electrostatics and the strength of DNA base stacking by studying double-stranded DNA molecules incorporating several different neutral and charged base modifications. Here, we describe ten complementary approaches for determining DNA persistence length by AFM imaging. The combination of different approaches provides increased confidence and statistical reliability over existing methods utilizing only a single approach.

Nanotemplate-directed DNA segmental thermal motion

Nanotemplate directed DNA segmental thermal motion on molecular nanotemplates on graphite was directly observed and characterized using AFM in a liquid.

Statistical analysis of molecular nanotemplate driven DNA adsorption on graphite

In this work, we have studied the conformation of DNA molecules aligned on the nanotemplates of octadecylamine, stearyl alcohol, and stearic acid on highly oriented pyrolytic graphite (HOPG). For this purpose, fluctuations of contours of adsorbed biopolymers obtained from atomic force microscopy (AFM) images were analyzed using the wormlike chain model. Moreover, the conformations of adsorbed biopolymer molecules were characterized by the analysis of the scaling exponent ν, which relates the mean squared end-to-end distance and contour length of the polymer. During adsorption on octadecylamine and stearyl alcohol nanotemplates, DNA forms straight segments, which order along crystallographic axes of graphite. In this case, the conformation of DNA molecules can be described using two different length scales. On a large length scale (at contour lengths l > 200-400 nm), aligned DNA molecules have either 2D compact globule or partially relaxed 2D conformation, whereas on a short length scale (at l ≤ 200-400 nm) their conformation is close to that of rigid rods. The latter type of conformation can be also assigned to DNA adsorbed on a stearic acid nanotemplate. The different conformation of DNA molecules observed on the studied monolayers is connected with the different DNA-nanotemplate interactions associated with the nature of the functional group of the alkane derivative in the nanotemplate (amine, alcohol, or acid). The persistence length of λ-DNA adsorbed on octadecylamine nanotemplates is 31 ± 2 nm indicating the loss of DNA rigidity in comparison with its native state. Similar values of the persistence length (34 ± 2 nm) obtained for 24-times shorter DNA molecules adsorbed on an octadecylamine nanotemplate demonstrate that this rigidity change does not depend on biopolymer length. Possible reasons for the reduction of DNA persistence length are discussed in view of the internal DNA structure and DNA-surface interaction.

Adsorption at liquid interfaces induces amyloid fibril bending and ring formation

Protein fibril accumulation at interfaces is an important step in many physiological processes and neurodegenerative diseases as well as in designing materials. Here we show, using β-lactoglobulin fibrils as a model, that semiflexible fibrils exposed to a surface do not possess the Gaussian distribution of curvatures characteristic for wormlike chains, but instead exhibit a spontaneous curvature, which can even lead to ring-like conformations. The long-lived presence of such rings is confirmed by atomic force microscopy, cryogenic scanning electron microscopy, and passive probe particle tracking at air- and oil-water interfaces. We reason that this spontaneous curvature is governed by structural characteristics on the molecular level and is to be expected when a chiral and polar fibril is placed in an inhomogeneous environment such as an interface. By testing β-lactoglobulin fibrils with varying average thicknesses, we conclude that fibril thickness plays a determining role in the propensity to form rings.

DNA deformations near charged surfaces: electron and atomic force microscopy views

DNA is a very important cell structural element, which determines the level of expression of genes by virtue of its interaction with regulatory proteins. We use electron (EM) and atomic force microscopy (AFM) to characterize the flexibility of double-stranded DNA ( approximately 150-950 nm long) close to a charged surface. Automated procedures for the extraction of DNA contours ( approximately 10-120 nm for EM data and approximately 10-300 nm for AFM data) combined with new statistical chain descriptors indicate a uniquely two-dimensional equilibration of the molecules on the substrate surface regardless of the procedure of molecule mounting. However, in contrast to AFM, the EM mounting leads to a noticeable decrease in DNA persistence length together with decreased kurtosis. Analysis of local bending on short length scales (down to 6 nm in the EM study) shows that DNA flexibility behaves as predicted by the wormlike chain model. We therefore argue that adhesion of DNA to a charged surface may lead to additional static bending (kinking) of approximately 5 degrees per dinucleotide step without impairing the dynamic behavior of the DNA backbone. Implications of this finding are discussed.

Individual bottle brush molecules in dense 2D layers restoring high degree of extension after collapse-decollapse cycle: directly measured scaling exponent

We prepared dense films of adsorbed brush-like macromolecules on mica substrate by transfer of compressed Langmuir monolayers from water subphase. The main macromolecular contours in the dense films were clearly resolved by SFM. The films were subjected to successive treatments by ethanol and water vapours. In accordance with previous results for isolated macromolecules, the films underwent collapse and subsequent decollapse morphological transformations in the changing vapour environment. Statistical analysis of the macromolecular dimensions in the films allowed us to measure the values of the scaling exponent nu determining the correlation between mean lateral and linear dimensions of the macromolecules. The analysis showed that the macromolecular conformations in the film as transferred were similar to the previously described conformations of the same macromolecules deposited directly on mica as isolated chains at much lower surface densities. The determined nu was close to the 0.75 value corresponding to the 2D SAW statistics. We assumed that the molecules retained the high degree of extension during the compression step due to suppressed reorganisation of the side chains. Differently from previous observations for isolated macromolecules, the restored conformations in the dense films after collapse-decollapse cycle were more extended with the nu of about 0.73 value. A theoretical explanation of the high degree of re-extension is proposed.

Mechanism of DNA flexibility enhancement by HMGB proteins

The mechanism by which sequence non-specific DNA-binding proteins enhance DNA flexibility is studied by examining complexes of double-stranded DNA with the high mobility group type B proteins HMGB2 (Box A) and HMGB1 (Box A+B) using atomic force microscopy. DNA end-to-end distances and local DNA bend angle distributions are analyzed for protein complexes deposited on a mica surface. For HMGB2 (Box A) binding we find a mean induced DNA bend angle of 78°, with a standard error of 1.3° and a SD of 23°, while HMGB1 (Box A+B) binding gives a mean bend angle of 67°, with a standard error of 1.3° and a SD of 21°. These results are consistent with analysis of the observed global persistence length changes derived from end-to-end distance measurements, and with results of DNA-stretching experiments. The moderately broad distributions of bend angles induced by both proteins are inconsistent with either a static kink model, or a purely flexible hinge model for DNA distortion by protein binding. Therefore, the mechanism by which HMGB proteins enhance the flexibility of DNA must differ from that of the Escherichia coli HU protein, which in previous studies showed a flat angle distribution consistent with a flexible hinge model.

HIV-1 protease and reverse transcriptase control the architecture of their nucleocapsid partner

The HIV-1 nucleocapsid is formed during protease (PR)-directed viral maturation, and is transformed into pre-integration complexes following reverse transcription in the cytoplasm of the infected cell. Here, we report a detailed transmission electron microscopy analysis of the impact of HIV-1 PR and reverse transcriptase (RT) on nucleocapsid plasticity, using in vitro reconstitutions. After binding to nucleic acids, NCp15, a proteolytic intermediate of nucleocapsid protein (NC), was processed at its C-terminus by PR, yielding premature NC (NCp9) followed by mature NC (NCp7), through the consecutive removal of p6 and p1. This allowed NC co-aggregation with its single-stranded nucleic-acid substrate. Examination of these co-aggregates for the ability of RT to catalyse reverse transcription showed an effective synthesis of double-stranded DNA that, remarkably, escaped from the aggregates more efficiently with NCp7 than with NCp9. These data offer a compelling explanation for results from previous virological studies that focused on i) Gag processing leading to nucleocapsid condensation, and ii) the disappearance of NCp7 from the HIV-1 pre-integration complexes. We propose that HIV-1 PR and RT, by controlling the nucleocapsid architecture during the steps of condensation and dismantling, engage in a successive nucleoprotein-remodelling process that spatiotemporally coordinates the pre-integration steps of HIV-1. Finally we suggest that nucleoprotein remodelling mechanisms are common features developed by mobile genetic elements to ensure successful replication.

Fractal dimension and localization of DNA knots

The scaling properties of DNA knots of different complexities were studied by atomic force microscope. Following two different protocols DNA knots are adsorbed onto a mica surface in regimes of (i) strong binding, that induces a kinetic trapping of the three-dimensional (3D) configuration, and of (ii) weak binding, that permits (partial) relaxation on the surface. In (i) the radius of gyration of the adsorbed DNA knot scales with the 3D Flory exponent nu approximately 0.60 within error. In (ii), we find nu approximately 0.66, a value between the 3D and 2D (nu=3/4) exponents. Evidence is also presented for the localization of knot crossings in 2D under weak adsorption conditions.

Transmission electron microscopy reveals an optimal HIV-1 nucleocapsid aggregation with single-stranded nucleic acids and the mature HIV-1 nucleocapsid protein

HIV-1 nucleocapsid protein (NCp7) condenses the viral RNA within the mature capsid. In a capsid-free system, NCp7 promotes an efficient mechanism of aggregation with both RNA and DNA. Here, we show an analysis of these macromolecular complexes by dark-field imaging using transmission electron microscopy. Thousands of mature NCp7 proteins co-aggregate with hundreds of single-stranded circular DNA molecules (ssDNA) within minutes, as observed with poly(rA). These co-aggregates are highly stable but dynamic structures, as they dissociate under harsh conditions, and after addition of potent ssDNA or NCp7 competitive ligands. The N-terminal domain and zinc fingers of NCp7 are both required for efficient association. Addition of magnesium slightly increases the avidity of NCp7 for ssDNA, while it strongly inhibits co-aggregation with relaxed circular double-stranded DNA (dsDNA). This DNA selectivity is restricted to mature NCp7, compared to its precursors NCp15 and NCp9. Moreover, for NCp15, the linkage of NCp7 with the Gag C-terminal p6-peptide provokes a deficiency in ssDNA aggregation, but results in DNA spreading similar to prototypical SSB proteins. Finally, this co-aggregation is discussed in a dynamic architectural context with regard to the mature HIV-1 nucleocapsid. On the basis of the present data, we propose that condensation of encapsidated RNA requires the C-terminal processing of NCp. Subsequently, disassembly of the nucleocapsid should be favoured once dsDNA is produced by HIV-1 reverse transcriptase.

Scaling exponents and probability distributions of DNA end-to-end distance

The scaling of the average gyration radius of polymers as a function of their length can be experimentally determined from ensemble measurements, such as light scattering, and agrees with analytical estimates. Ensemble techniques, yet, do not give access to the full probability distributions. Single molecule techniques, instead, can deliver information on both average quantities and distribution functions. Here we exploit the high resolution of atomic force microscopy over long DNA molecules adsorbed on a surface to measure the average end-to-end distance as a function of the DNA length, and its full distribution function. We find that all the scaling exponents are close to the predicted 3D values (upsilon=0.589+/-0.006 and delta=2.58+/-0.77). These results suggest that the adsorption process is akin to a geometric projection from 3D to 2D, known to preserve the scaling properties of fractal objects of dimension df<2.

Characterisation of bacterial polysaccharides: steps towards single-molecular studies

Techniques used in studies of polysaccharides, including chemical composition, linkage pattern, and higher order structures are in constant development. They provide information necessary for understanding of the polysaccharide properties and functions. Here, recent advancements in studies of the polysaccharides at the single-molecule level are highlighted. Over the last few years, single-molecule techniques such as force spectroscopy have improved in sensitivity and can today be used to detect forces in the pN range. In addition, these techniques can be used to investigate properties of single molecules close to physiological conditions. The challenges in the interpretation of the observations are aided by control experiments using well-characterised polysaccharides and by data provided by complementary methods. This field is expected to have increasing impact on the further advancement of the molecular understanding of the role of polysaccharides in various biological processes such as recognition and cell adhesion.

DNA renaturation at the water-phenol interface

We study the renaturation of complementary single-stranded DNAs in a water-phenol two-phase system, with or without shaking. In very dilute solutions, each single-stranded DNA is strongly adsorbed at the interface at high salt concentrations. The adsorption of the single-stranded DNA is specific to phenol and relies on stacking and hydrogen bonding. We establish the interfacial nature of DNA renaturation at high salt, either with vigorous shaking (in which case the reaction is known as the Phenol Emulsion Reassociation Technique or PERT) or without. In the absence of shaking, the renaturation involves a surface diffusion of the single-stranded DNA chains. A comparison of PERT with other known renaturation reactions shows that PERT is the most efficient one and reveals similarities between PERT and the renaturation performed by single-stranded nucleic acid binding proteins. The most efficient renaturation reactions (either with PERT or in the presence of condensing agents) occur in heterogeneous systems, in contrast with standard thermal renaturation, which takes place in the bulk of a homogeneous phase. This work highlights the importance of aromaticity in molecular biology. Our results lead to a better understanding of the partitioning of nucleic acids, and should help to design improved extraction procedures for damaged nucleic acids. We present arguments in favor of interfacial scenarios involving phenol in prebiotic chemistry.

AFM studies of DNA structures on mica in the presence of alkaline earth metal ions

As counterions of DNA on mica, Mg(2+), Ca(2+), Sr(2+) and Ba(2+) were used for clarifying whether DNA molecules equilibrate or are trapped on mica surface. End to end distance and contour lengths were determined from statistical analysis of AFM data. It was revealed that DNA molecules can equilibrate on mica when Mg(2+), Ca(2+) and Sr(2+) are counterions. When Ba(2+) is present, significantly crossovered DNA molecules indicate that it is most difficult for DNA to equilibrate on mica and the trapping degree is different under different preparation conditions. In the presence of ethanol, using AFM we have also observed the dependence of B-A conformational transition on counterion identities. The four alkaline earth metal ions cause the B-A transition in different degrees, in which Sr(2+) induces the greatest structural transition.

Contribution of DNA conformation and topology in right-handed DNA wrapping by the Bacillus subtilis LrpC protein

The Bacillus subtilis LrpC protein belongs to the Lrp/AsnC family of transcriptional regulators. It binds the upstream region of the lrpC gene and autoregulates its expression. In this study, we have dissected the mechanisms that govern the interaction of LrpC with DNA by electrophoretic mobility shift assay, electron microscopy, and atomic force microscopy. LrpC is a structure-specific DNA binding protein that forms stable complexes with curved sequences containing phased A tracts and wraps DNA to form spherical, nucleosome-like structures. Formation of such wraps, initiated by cooperative binding of LrpC to DNA, results from optimal protein/protein interactions specified by the DNA conformation. In addition, we have demonstrated that LrpC constrains positive supercoils by wrapping the DNA in a right-handed superhelix, as visualized by electron microscopy.

Sequence-dependent motions of DNA: a normal mode analysis at the base-pair level

Computer simulation of the dynamic structure of DNA can be carried out at various levels of resolution. Detailed high resolution information about the motions of DNA is typically collected for the atoms in a few turns of double helix. At low resolution, by contrast, the sequence-dependence features of DNA are usually neglected and molecules with thousands of base pairs are treated as ideal elastic rods. The present normal mode analysis of DNA in terms of six base-pair "step" parameters per chain residue addresses the dynamic structure of the double helix at intermediate resolution, i.e., the mesoscopic level of a few hundred base pairs. Sequence-dependent effects are incorporated into the calculations by taking advantage of "knowledge-based" harmonic energy functions deduced from the mean values and dispersion of the base-pair "step" parameters in high-resolution DNA crystal structures. Spatial arrangements sampled along the dominant low frequency modes have end-to-end distances comparable to those of exact polymer models which incorporate all possible chain configurations. The normal mode analysis accounts for the overall bending, i.e., persistence length, of the double helix and shows how known discrepancies in the measured twisting constants of long DNA molecules could originate in the deformability of neighboring base-pair steps. The calculations also reveal how the natural coupling of local conformational variables affects the global motions of DNA. Successful correspondence of the computed stretching modulus with experimental data requires that the DNA base pairs be inclined with respect to the direction of stretching, with chain extension effected by low energy transverse motions that preserve the strong van der Waals' attractions of neighboring base-pair planes. The calculations further show how one can "engineer" the macroscopic properties of DNA in terms of dimer deformability so that polymers which are intrinsically straight in the equilibrium state exhibit the mesoscopic bending anisotropy essential to DNA curvature and loop formation.

DNA bending induced by the archaebacterial histone-like protein MC1

The conformational changes induced by the binding of the histone-like protein MC1 to DNA duplexes have been analyzed by dark-field electron microscopy and polyacrylamide gel electrophoresis. Visualisation of the DNA molecules by electron microscopy reveals that the binding of MC1 induces sharp kinks. Linear DNA duplexes (176 bp) which contained a preferential site located at the center were used for quantitative analysis. Measurements of the angle at the center of all duplexes, at a fixed DNA concentration, as a function of the MC1 concentration, were very well fitted by a simple model of an isotropic flexible junction and an equilibrium between the two conformations of DNA with bound or unbound MC1. This model amounts to double-folded Gaussian distributions and yields an equilibrium deflection angle of theta0=116 degrees for the DNA with bound MC1. It allowed measurements of the fraction of DNA with bound MC1 to be taken as a function of MC1 concentrations and yields an equilibrium dissociation constant of Kd=100 nM. It shows that the flexibility of DNA is reduced by the binding of MC1 and the formation of a kink. The equilibrium dissociation constant value was corroborated by gel electrophoresis. Control of the model by the computation of the reduced chi2 shows that the measurements are consistent and that electron microscopy can be used to quantify precisely the DNA deformations induced by the binding of a protein to a preferential site.

Static curvature and flexibility measurements of DNA with microscopy. A simple renormalization method, its assessment by experiment and simulation

We present the derivation of equations based on statistical polymer chain analysis and a method to quantify the average angle value of intrinsic bends and the local flexibility at a given locus on DNA fragments imaged by electron microscopy. DNA fragments of n base-pairs are considered as stiff chains of n jointed unit rigid rods. If the DNA fragments are composed of two branches A0Am and A0Bn, with, respectively, m and n base-pairs, where the standard deviations of the angle formed by two consecutive base-pairs are uniform over each branch, respectively, sigmathetaA and sigmathetaB, we show that the standard deviation of the angle AmA0Bn is: [formula: see text] where sigmatheta0 is the standard deviation of the angle at locus A0. This equation is established for small angular deviations by analysis of DNA at different scales and the validity of the methodology is controlled with the computation of the reduced chi2 statistical test. The length of the DNA fragments must be of the order of, or below, the persistence length, as determined by sets of statistics from computer simulations of DNA fragments. This is verified experimentally by a detailed analysis of the digitized contours of homogeneous linear 139 base-pair DNA fragments observed by electron microscopy. The images are compared to the reconstruction of DNA fragments from the measurements. The value found, sigma0=4.6 degrees/bp, is consistent with the well-accepted value for DNA in a plane. We discuss the relationship between the standard deviation of the measured angles and the flexibility at the base-pair level. This method is useful to quantify directly from microscopy techniques, such as electron or scanning force microscopy, the true bending angle, either intrinsic or induced by a ligand, and its associated flexibility at a given locus in any small DNA fragment.

Scanning force microscopy of DNA deposited onto mica: equilibration versus kinetic trapping studied by statistical polymer chain analysis

This paper reports a study of the deposition process of DNA molecules onto a mica surface for imaging under the scanning force microscope (SFM). Kinetic experiments indicate that the transport of DNA molecules from the solution drop onto the surface is governed solely by diffusion, and that the molecules are irreversibly adsorbed onto the substrate. A statistical polymer chain analysis has been applied to DNA molecules to determine the deposition conditions that lead to equilibrium and those that result in trapped configurations. Using the appropriate conditions, DNA molecules deposited onto freshly cleaved mica, are able to equilibrate on the surface as in an ideal two-dimensional solution. A persistence length of 53 nm was determined from those molecules. DNA fragments that were labeled on both ends with a horseradish peroxidase streptavidin fusion protein were still able to equilibrate on the surface, despite the additional protein-surface interaction. In contrast, DNA molecules deposited onto glow-discharged mica or H+-exchanged mica do not equilibrate on the surface. These molecules adopt conformations similar to those expected for a simple projection onto the surface plane, suggesting a process of kinetic trapping. These results validate recent SFM application to quantitatively analyze the conformation of complex macromolecular assemblies deposited on mica. Under equilibration conditions, the present study indicates that the SFM can be used to determine the persistence length of DNA molecules to a high degree of precision.

Conformational changes of DNA minicircles upon the binding of the archaebacterial histone-like protein MC1

Binding of the archaebacterial histone-like protein MC1 to DNA minicircles has been examined by gel retardation and electron microscopy. MC1 preferentially binds to a 207-base pair relaxed DNA minicircle as compared with the linear fragment. Random binding is observed at very low ionic strength, and a slight increase in salt concentration highly favors the formation of a complex that corresponds to the binding of two MC1 molecules per DNA ring. Measurements of dissociation rates show that this complex is remarkably stable, and electron microscopy reveals that it is characterized by two diametrically opposed kinks. These results are discussed in regard to the mechanisms by which MC1 affects DNA structure.

Electron microscopic studies of the interaction between a Bacillus subtilis alpha/beta-type small, acid-soluble spore protein with DNA: protein binding is cooperative, stiffens the DNA, and induces negative supercoiling

DNA within spores of Bacillus subtilis is complexed with a group of alpha/beta-type small acid-soluble spore proteins (alpha/beta-type SASPs), which have almost identical primary sequences and DNA binding properties. Here electron microscopic and cyclization studies were carried out on alpha/beta-type SASP-DNA complexes. When an alpha/beta-type SASP was incubated with linear DNA, the protein bound cooperatively, forming a helical coating 6.6 +/- 0.4 nm wide with a 2.9 +/- 0.3 nm periodicity. alpha/beta-Type SASP binding to an 890-bp DNA was weakest at an (A+T)-rich region that was highly bent, but binding eliminated the bending. alpha/beta-Type SASP binding did not alter the rise per bp in DNA but greatly increased the DNA stiffness as measured by both electron microscopic and cyclization assays. Addition of alpha/beta-type SASPs to negatively supertwisted DNA led to protein binding without significant alteration of the plectonemically interwound appearance of the DNA. Addition of alpha/beta-type SASPs to relaxed or nicked circular DNA led to molecules that by electron microscopy appeared similar to supertwisted DNA. The introduction of negative supertwists in nicked circular DNA by alpha/beta-type SASPs was confirmed by ligation of these molecules followed by topoisomer analyses using agarose gel electrophoresis.

Conformation, order-disorder conformational transitions and gelation of non-crystalline polysaccharides studied using electron microscopy

Direct imaging of polysaccharides using transmission electron microscopy (EM) is an important alternative to physical characterization of non-crystalline polysaccharides in solution. The polymer nature of stiff-chain polysaccharides is quite apparent from direct visualization of the electron micrographs, despite the fact that commonly employed preparation techniques reduce the resolution limit to about 1-2 nm. Electron microscopy has recently been used to study polysaccharides with emphasis both on quantitative properties like contour length, end-to-end distance and chain stiffness, and on qualitative structural features such as cyclization at the macromolecular level. The structural richness observed for polysaccharides of the beta-D0glucan family after a denaturation-renaturation treatment of the specimen, in particular, illustrates the unique potential of EM as a tool for obtaining conformational information about carbohydrate macromolecules. Examples of the latter also include the recent discoveries of cyclic beta-D-glucan and l-carrageenan structures. The EM technique provides information that is not only complementary to what can be obtained using other physical techniques, but also offers important insight otherwise masked by the averaging implicit in most physical techniques used to study aqueous polysaccharide solutions.

How Lac repressor finds lac operator in vitro

Filter-binding and gel mobility shift assays were used to analyse the kinetics of the interaction of Lac repressor with lac operator. A comparison of the two techniques reveals that filter-binding assays with tetrameric Lac repressor have often been misinterpreted. It has been assumed that all complexes of Lac repressor and lac operator DNA bind with equal affinity to nitrocellulose filters. This assumption is wrong. Sandwich or loop complexes where two lac operators bind to one tetrameric Lac repressor are not or are only badly retained on nitrocellulose filters under normal conditions. Taking this into account, dimeric and tetrameric Lac repressor do not show any DNA-length dependence of their association and dissociation rate constants when they bind to DNA fragments smaller than 2455 base-pairs carrying a single symmetric ideal lac operator. A ninefold increased association rate to ideal lac operator on lambda DNA is observed for tetrameric but not dimeric Lac repressor. It is presumably due to intersegment transfer involving lac operator-like sequences.

Quantitative electron microscopic analysis of DNA-protein interactions

Electron microscopy offers a unique potentiality to visualize individual molecules. For the last 30 years it has been used to study the structure and the interactions of various biological macromolecules. The contribution of electron microscopy is important because of its capacity to demonstrate the existence of conformational structures such as kinks, bents, loops, etc., either on naked DNA, or on DNA associated with various proteins or ligands. Increasing interest was given to such observations when it was found that they provide a direct visualization of interacting molecules involved in DNA metabolism and gene regulation. Technical advances in the preparation of the specimens, their observation in the electron microscope, and the image processing by computers have allowed the shifting from qualitative to quantitative analysis, as illustrated by a few examples from our laboratory.

The reliability of wormlike polysaccharide chain dimensions estimated from electron micrographs

Electron micrographs of alginate, xylinan, xanthan, and scleroglucan were prepared by vacuum-drying aqueous glycerol-containing solutions, and then heavy-metal, low-angle rotary replicated. Quantitative methods for excluding streamlining effects and deformation artifacts were developed and applied to the digitized polymer contours prior to analysis of stiffness. The apparent macromolecular dimensionalities were not obtainable on the basis of the change in the scaling coefficient alpha relating the rms end-to-end distance and the contour length, mean value of r2(1/2) approximately L alpha, for chains subject to the excluded volume effect in two and three dimensions. Using a two-dimensional model, the persistence length of these molecules was estimated to be (9 +/- 1) nm (alginate), (25 +/- 4) nm (xylinan), (30 +/- 4) nm (single-stranded xanthan), (68 +/- 7) nm (double-stranded xanthan), and (80 +/- 10) nm (scleroglucan). Monte Carlo calculations for wormlike chains close to an interacting surface or confined to the region between two surfaces showed that (1) strongly adsorbed molecules are essentially two-dimensional and (2) molecules restricted to the space between two surfaces separated by a distance less than 20% of the persistence length are two-dimensional in their directional correlation. The somewhat low estimates of the persistence lengths obtained from the electron micrographs compared with those reported from solution measurements can be accounted for by the adoption of a strictly two-dimensional model in the analysis, whereas the absorbed polymers are most likely intermediate between the two-and three-dimensional cases. The model calculations and the analysis of the electron micrographs suggest that stiffness parameters are obtainable from the electron micrographs when the proper theoretical description are used in the analysis.

A rigorous mathematical treatment for the excluded volume effect in Monte Carlo simulations of polymeric chains

In Monte Carlo simulations of polymeric chains, the chains are most often represented as spheres, or cylinders with flat ends. In this methodological paper, we adopt a representation of the chains as spherocylinders (continuous cylinders ending in semispheres). With such a representation the testing for chain overlap, which is the crucial step for the inclusion of the excluded volume effect in the simulations, can be defined in a rigorous geometrical framework. The treatment we then derive fulfills the following features: it allows a very simple, automatic, and exhaustive classification of all the possible configurations; and it provides a physical representation for steric hindrance effects more natural than the flat-ended cylinders. Notably, this representation avoids the introduction of artificial anisotropies in the treatments. This spherocylindrical representation is also well suited for several types of calculations that can be involved in elaborate Monte Carlo simulations.