The possibility of intrinsic local curvature in DNA toroids

A variety of solution conditions are known to induce collapse of linear DNA into a compact configuration without dramatic change of local structure. When visualized, these compact forms frequently have a toroidal appearance. We ask whether the molecular basis of the toroidal shape can be a stable curvature of isolated rodlike DNA segments. Application of the classical Euler-Lagrange theory for the buckling of elastic rods provides us with an affirmative answer. Specifically, we see that, in principle, sufficient addition of inert polymer to DNA solutions can induce buckling of DNA segments. However, no attempt is made to quantitate the Euler-Lagrange condition for sufficiency in terms of added polymer concentration. We find also that complete neutralization of the phosphate charge is more than sufficient to induce buckling of DNA segments of length comparable to a Kuhn segment. The quantitative argument involves comparison of buckling forces provided by polyelectrolyte theory with the Euler-Lagrange criterion. Knowledge of the ionic-strength dependence of DNA bending stiffness (persistence length) is not required.     

On the theory of Ψ-condensation

We suggest a theory of Ψ-condensation, based on the assumption that a compact DNA particle is a globule, and specifically that a polymer solution is a strongly fluctuating system and that double-stranded DNA is a stiff homopolymer single-stranded chain. We show the DNA globule as it appears in a dilute poly(ethylene oxide) (PEO) solution. The corresponding phase transition is investigated in detail. Growth of the PEO concentration should lead to a decrease in the size of the compact particle and to an increase in its optical rotatory power. Conditions are defined at which drastic compaction of DNA takes place, accompanied by the loss of its optic rotatory power, in regions of high PEO concentrations.     

Interconnection of salt-induced hydrophobic compaction and secondary structure formation depends on solution conditions: revisiting early events of protein folding at single molecule resolution

What happens in the early stage of protein folding remains an interesting unsolved problem. Rapid kinetics measurements with cytochrome c using submillisecond continuous flow mixing devices suggest simultaneous formation of a compact collapsed state and secondary structure. These data seem to indicate that collapse formation is guided by specific short and long range interactions (heteropolymer collapse). A contrasting interpretation also has been proposed, which suggests that the collapse formation is rapid, nonspecific, and a trivial solvent related compaction, which could as well be observed by a homopolymer (homopolymer collapse). We address this controversy using fluorescence correlation spectroscopy (FCS), which enables us to monitor the salt-induced compaction accompanying collapse formation and the associated time constant directly at single molecule resolution. In addition, we follow the formation of secondary structure using far UV CD. The data presented here suggest that both these models (homopolymer and heteropolymer) could be applicable depending on the solution conditions. For example, the formation of secondary structure and compact state is not simultaneous in aqueous buffer. In aqueous buffer, formation of the compact state occurs through a two-state co-operative transition following heteropolymer formalism, whereas secondary structure formation takes place gradually. In contrast, in the presence of urea, a compaction of the protein radius occurs gradually over an extended range of salt concentration following homopolymer formalism. The salt-induced compaction and the formation of secondary structure take place simultaneously in the presence of urea.     

Conformational behavior of giant DNA through binding with Ag+ and metallization

The conformational behavior of a long single-chain double-stranded DNA in solutions of free silver ions and silver nanoparticles generated via the reduction of AgNO3 by NaBH4 was monitored by fluorescence and electron microscopies and UV spectroscopy. The interaction of monovalent silver ions with DNA induces shrinking of a DNA-coiled polymer chain as a result of a decrease in the DNA persistence length through the complexation of Ag+ with DNA bases. In contrast, the reduction of silver ions by NaBH4 in DNA solutions triggers DNA compaction: a DNA transition from elongated coil state into a compact state. This transition is continuous, unlike the all-or-none discrete DNA compaction that is commonly seen with multications. It is suggested that the collapse of DNA is accompanied by growth aggregation of silver nanoparticles generated on the DNA template.     

Theory of the toroidal compact form of DNA in a polymer solution

A diagram of the states of single long rigid DNA macromolecule in solution of short flexible polymer was plotted. It has been shown that the compacting effect of the polymer solvent on DNA can be interpreted as hydrostatic pressure of coils gas on impermeable "walls" of the DNA globule. Conditions were found for the existence of compact (globular) states in the form of a sphere (stable for a very long DNA) and tore (for a relatively short one). Possibility of intramolecular liquidcrystalline orderliness of DNA segments in a globule was analyzed. Regions of realization of both regimes were studied: when compression with an added polymer was equalized by the forces of steric repulsion of DNA segments and when it was balanced by the elasticity of the DNA chain bendings.     

Cooperative transitions of isolated Escherichia coli nucleoids: implications for the nucleoid as a cellular phase

The genomic DNA of Escherichia coli occurs in compact bodies known as nucleoids. Organization and structure of nucleoids are poorly understood. Compact, characteristically shaped, nucleoids isolated by the polylysine-spermidine procedure were visualized by DNA fluorescence microscopy. Treatment with urea or trypsin converted compact nucleoids to partially expanded forms. The transition in urea solutions was accompanied by release of most DNA-associated proteins; the transition point between compact and partially expanded forms was not changed by the loss of the proteins nor was it changed in nucleoids isolated from cells after exposure to chloramphenicol or from cells in which Dps, Fis, or H-NS and StpA had been deleted. Partially expanded forms became dispersed upon RNase exposure, indicating a role of RNA in maintaining the partial expansion. Partially expanded forms that had been stripped of most DNA-associated proteins were recompacted by polyethylene glycol 8,000, a macromolecular crowding agent, in a cooperative transition. DNA-associated proteins are suggested to have relatively little effect on the phase-like behavior of the cellular nucleoid. Changes in the urea transition indicate that a previously described procedure for compaction of polylysine-spermidine nucleoids may have an artifactual basis, and raise questions about reports of repetitive local structures involving the DNA of lysed cells.     

On the toroidal condensed state of closed circular DNA

The influence of double helix torsional elasticity on the compaction and structure of circular DNA compact form is studied theoretically in the case when the compact (globular) form has torus shape. For closed circular DNA the topological invariant, the linking number, yields a strict connection between conformation of the double helix considered as unifilar homopolymer and elastic energy of torsional twisting. The contribution of torsional elasticity to the free energy of the toruslike globule is calculated. This contribution is shown to be proportional to the square of superhelical density. Allowance of the torsional elasticity decreases the equilibrium radius of the toruslike globule formed by circular DNA. Closure of linear DNA into a ring widens the stability range of the relatively short DNA compact form and tightens it for long DNA.     

Simulating the Entropic Collapse of Coarse-Grained Chromosomes

Depletion forces play a role in the compaction and decompaction of chromosomal material in simple cells, but it has remained debatable whether they are sufficient to account for chromosomal collapse. We present coarse-grained molecular dynamics simulations, which reveal that depletion-induced attraction is sufficient to cause the collapse of a flexible chain of large structural monomers immersed in a bath of smaller depletants. These simulations use an explicit coarse-grained computational model that treats both the supercoiled DNA structural monomers and the smaller protein crowding agents as combinatorial, truncated Lennard-Jones spheres. By presenting a simple theoretical model, we quantitatively cast the action of depletants on supercoiled bacterial DNA as an effective solvent quality. The rapid collapse of the simulated flexible chromosome at the predicted volume fraction of depletants is a continuous phase transition. Additional physical effects to such simple chromosome models, such as enthalpic interactions between structural monomers or chain rigidity, are required if the collapse is to be a first-order phase transition.     

Integration Host Factor of Mycobacterium tuberculosis,mIHF, Compacts DNA by a Bending Mechanism

The bacterial chromosomal DNA is folded into a compact structure called as ‘nucleoid’ so that the bacterial genome can be accommodated inside the cell. The shape and size of the nucleoid are determined by several factors including DNA supercoiling, macromolecular crowding and nucleoid associated proteins (NAPs). NAPs bind to different sites of the genome in sequence specific or non-sequence specific manner and play an important role in DNA compaction as well as regulation. Until recently, few NAPs have been discovered in mycobacteria owing to poor sequence similarities with other histone-like proteins of eubacteria. Several putative NAPs have now been identified in Mycobacteria on the basis of enriched basic residues or histone-like “PAKK” motifs. Here, we investigate mycobacterial Integration Host Factor (mIHF) for its architectural roles as a NAP using atomic force microscopy and DNA compaction experiments. We demonstrate that mIHF binds DNA in a non-sequence specific manner and compacts it by a DNA bending mechanism. AFM experiments also indicate a dual architectural role for mIHF in DNA compaction as well as relaxation. These results suggest a convergent evolution in the mechanism of E. coli and mycobacterial IHF in DNA compaction.     

Structure of collapsed persistent macromolecule: Toroid vs. spherical globule

We studied theoretically the behavior of a collapsed persistent macromolecule in poor solvent as a model of collapse transition of single double-stranded DNA chain, and constructed the diagram of states in the variables with contour length of a macromolecule and quality of the solvent. We found that the state of toroidal globule exists as an intermediate state between the states of elongated coil state and the spherical globule. Our theoretical result suggests that a single linear macromolecule with a high degree of polymerization can form a toroidal globule. However, the range in which the toroidal structure is stable decreases as the macromolecule length increases. Experimental observation with transmission electron microscopy has been performed to study the globular structure of single DNA chain (bacteriophage T4 DNA, λ-DNA) collapsed by hexammine cobalt (III) at different concentrations. We found that an extremely long chain of T4 DNA (166 kbp), with a contour length of 56 μm, actually forms a toroidal globule, and that isotropic spherical globule appears at higher hexammine cobalt concentration. © 1997 John Wiley & Sons, Inc.     

On the Toroidal Condensed State of Closed Circular DNA

Abstract

The influence of double helix torsional elasticity on the compaction and structure of circular DNA compact form is studied theoretically in the case when the compact (globular) form has torus shape. For closed circular DNA the topological invariant, the linking number, yields a strict connection between conformation of the double helix considered as unifilar homopolymer and elastic energy of torsional twisting. The contribution of torsional elasticity to the free energy of the toruslike globule is calculated. This contribution is shown to be proportional to the square of superhelical density. Allowance of the torsional elasticity decreases the equilibrium radius of the toruslike globule formed by circular DNA. Closure of linear DNA into a ring widens the stability range of the relatively short DNA compact form and tightens it for long DNA.     

Atomic force and electron microscopy of high molecular weight circular DNA complexes with synthetic oligopeptide trivaline

Intramolecular compact structures formed by high molecular weight circular superhelical DNA molecules due to interaction with synthetic oligopeptide trivaline (1) were studied by atomic force and electron microscopy. Three DNA preparations were used: plasmids pTbol, pRX10 and cosmid 27,877, with sizes 6,120 bp, 10,500 bp and 44,890 bp respectively. Plasmid pTbo1 and pRX10 preparations along with monomers contained significant amount of dimers and trimers. Main structures in all preparations observed were compact particles, which coincide in their appearance and compaction coefficient (3,5-3,7) with triple rings described earlier. The size and structure characteristics of triple rings and other compact particles on atomic force images in general coincide with those obtained by EM (2). AFM (3) images allow to get additional information about the ultrastructural organization and arrangement of DNA fibers within the compact structures. Along with triple rings in pTbol and pRX10-TVP complexes significant amount of compact structures were observed having the shape of two or three compact rings attached to each other by a region of compact fibre. Basing on the data of contour length measurements and the shape of the particles it was concluded that these structures were formed due to compaction of dimeric and trimeric circular DNA molecules. Structures consisting of several attached to each other triple rings were not found for pTbol, pRX10 monomers or cosmid preparations--TVP complexes where only single triple rings were observed. The conclusion is made that initiation of compact fibre formation within the circular molecules depends on the primary structure and for dimeric or trimeric circular molecules two or three compaction initiation points are present, located in each monomer unit within one circular DNA molecule. The nucleotide sequence dependent compaction mechanism providing independent compaction of portions of one circular molecule can be of interest for understanding of DNA compaction processes in vivo.     

Relationship between chain collapse and secondary structure formation in a partially folded protein

Chain collapse and secondary structure formation are frequently observed during the early stages of protein folding. Is the chain collapse brought about by interactions between secondary structure units or is it due to polymer behavior in a poor solvent (coil‐globule transition)? To answer this question, we measured small‐angle X‐ray scattering for a series of β‐lactoglobulin mutants under conditions in which they assume a partially folded state analogous to the folding intermediates. Mutants that were designed to disrupt the secondary structure units showed the gyration radii similar to that of the wild type protein, indicating that chain collapse is due to coil‐globule transitions. © 2013 Wiley Periodicals, Inc. Biopolymers 101: 651–658, 2014.     

Relationship between the molecular structure of aqueous solutions of polyethylene glycol and the compactness of double-stranded DNA molecules

The dependence of viscosity of the water solutions of poly(ethylene glycol) (PEG) on the molecular weight has been studied. It has been shown that there is a "transitional" region in PEG properties which accounts for the formation of fluctuation polymer network of the PEG molecules. It has been shown that the "transitional" region in properties of PEG which appears at a certain concentration of PEG (CtrPEG) is characteristic of the PEG preparations with molecular weights exceeding 600 and dependence of the value of CtrPEG on the molecular weight of PEG was obtained. Compactization of double-stranded DNA molecules in PEG-containing water-salt solutions has been studied and the dependence of the value of CcrPEG, . i.e. the concentration of PEG at which the compact particles of DNA appear in the solution, on the molecular weight of PEG was obtained. The correlation between these two dependences reflecting quite different physico-chemical processes shows that the double-stranded DNA molecules are constrained within the polymer network of the PEG molecules. The influence of ionic strength and ionic composition of the solution on the formation of a compact form was investigated. The transition of the DNA molecules from a linear to a compact state may occur only at a definite value of ionic strength of the solution. This transition may occur at the change of K+ for Na+ cations (at a constant value of CPEG). The extent of compactization of the DNA molecules in PEG-containing water-salt solutions is monitored by the molecular structure and by the ionic strength of the solvent. It is supposed that the peculiarities of compactization of the DNA molecules in PEG-containing water-salt solutions reflect some characteristics of conformational transitions of the DNA molecules which occur in vivo.     

The effect of temperature on DNA structural transitions under the action of Cu2+ and Ca2+ ions in aqueous solutions

The work examines the structural transitions of DNA under the action of Cu2+ and Ca2+ ions in aqueous solution at temperatures of 29 and 45 degrees C by ir spectroscopy. Upon binding to the divalent ions studied, DNA transits into the compact state both at 29 and 45 degrees C. In the compact state DNA remains in B-form limits. The compaction process is of high positive cooperativity. As temperature increases the divalent metal ion concentration required to induce DNA compaction decreases in the case of Cu(2+)-induced compaction and increases in the case of Ca(2+)-induced compaction. It is suggested that the mechanism of the temperature effect on DNA compaction in the presence of Cu2+ ions possessing higher affinity for DNA bases differs from that of the temperature influence on Ca(2+)-induced DNA compaction. In the case of copper ions the determining factor is the increase of binding constants of the Cu2+ ions interacting with the denatured parts formed on DNA while in the case of calcium ions it is the decreased screening action of counterions upon the increase of their hydration with temperature. The efficiency of divalent metal ions studied in inducing DNA compaction depends on hydration of counterions. DNA compaction occurs in a narrow interval of Cu2+ concentrations. As the Cu2+ ion concentration increases, DNA compaction is replaced with Cu(2+)-induced DNA aggregation. At elevated temperatures Cu(2+)-induced DNA compaction could acquire a phase transition character.     

Multiple restraints to the unfolding of spermidine nucleoids from Escherichia coli

Bacterial DNA is largely localized in compact bodies known as nucleoids. The structure of the bacterial nucleoid and the forces that maintain its DNA in a highly compact yet accessible form are largely unknown. In the present study, we used urea to cause controlled unfolding of spermidine nucleoids isolated from Escherichia coli to determine factors that are involved in nucleoid compaction. Isolated nucleoids unfolded at approximately 3.2 M urea. Addition of pancreatic RNase reduced the urea concentration for unfolding to approximately 1.8 M urea, indicating a role of RNA in nucleoid compaction. The transitions at approximately 3.2 and approximately 1.8 M urea reflected a RNase-sensitive and a RNase-resistant restraint to unfolding, respectively. Removal of the RNase-sensitive restraint allowed us to test for roles of proteins and supercoiling in nucleoid compaction and structure. The remaining (RNase-resistant) restraints were removed by low NaCl concentrations as well as by urea. To determine if stability would be altered by treatments that caused morphological changes in the nucleoids, transitions were also measured on nucleoids from cells exposed to chloramphenicol; the RNase-sensitive restraint in such nucleoids was stabilized to much higher urea concentrations than that in nucleoids from untreated cells, whereas the RNase-resistant transition appeared unchanged.     

A folding control element for tertiary collapse of a group II intron ribozyme

Ribozymes derived from the group II intron ai5gamma collapse to a compact intermediate, folding to the native state through a slow, direct pathway that is unperturbed by kinetic traps. Molecular collapse of ribozyme D135 requires high magnesium concentrations and is thought to involve a structural element in domain 1 (D1). We used nucleotide analog interference mapping, in combination with nondenaturing gel electrophoresis, to identify RNA substructures and functional groups that are essential for D135 tertiary collapse. This revealed that the most crucial atoms for compaction are located within a small section of D1 that includes the kappa and zeta elements. This small substructure controls specific collapse of the molecule and, in later steps of the folding pathway, it forms the docking site for catalytic D5. In this way, the stage is set for proper active site formation during the earliest steps of ribozyme folding.     

Effect of Particle Size on Compaction of Materials with Different Deformation Mechanisms with and without Lubricants

This work investigates the effect of excipient particle size on compaction properties of brittle, plastic and viscoelastic materials with and without added lubricants. Sieve cuts of Microcrystalline cellulose (MCC), Starch and Dibasic calcium phosphate dihydrate were obtained by sieving, then samples were tested without lubrication or with added lubricant (0.5% Mg stearate mixed for either 5 or 30-min). Compacts were left overnight before testing. It was found that in the absence of lubricant, compact tensile strength (TS) was dependent on particle size only for starch. With Mg stearate, lubricant sensitivity shows a strong dependence on excipient particle size for both starch and MCC, where smaller particles are less affected by lubricant. Dibasic calcium phosphate dihydrate was not sensitive to lubricant even after 30 min mixing. This study highlights that in the absence of lubricant, initial particle size of excipients has no impact on compact strength not only for Dibasic calcium phosphate dihydrate (brittle), but also for MCC (plastic). On the other hand, TS is dependent on particle size both with or without added lubricant for starch (viscoelastic).     

Investigating the effects of polymer chemistry on activity of biocatalytic plastic materials

The affects of polymer chemistry on the organic solvent activity of alpha-chymotrypsin-containing biocatalytic plastic materials are investigated in this study. To incorporate alpha-chymotrypsin into the polymer, the enzyme is first acryloylated, then solubilized into organic solvents via hydrophobic ion paring with surfactant molecules. Once in the organic solvent, a vinyl monomer and crosslinker are added and copolymerized with the enzyme. Due to the intimate contact between the enzyme and the resulting polymer network, the polymer chemistry plays an important role in the activity of these biocatalytic materials. The chemical composition of the monomer/polymer has the greatest effect on catalytic activity. The activity spans a range of 100-fold and appears to correlate with the hydrophilicity of the monomer, with the lowest activity exhibited for poly(methyl methacrylate) and the highest for poly(2-hydroxyethyl methacrylate). The effect of the chemical structure of the monomer/polymer appears to be an intrinsic kinetic effect, whereas other polymer chemistry conditions investigated, including crosslinker concentration and length and ratio of solvent:monomer during synthesis, appear to effect the rate of substrate diffusion, thereby affecting observed enzyme activity. Changes in the conditions of polymer synthesis can cause as much as a 20-fold change in activity for a given polymeric material. This is most likely due to an increase in the porosity of the materials, and thus a relaxation of diffusional limitations.     

The architectural role of nucleoid-associated proteins in the organization of bacterial chromatin: a molecular perspective

The bacterial genome is folded into a compact structure called the nucleoid. Considerable compaction of the DNA molecule is required in order to reduce its volume below that of the cell. Several mechanisms, such as molecular crowding and DNA supercoiling contribute to the compactness of the nucleoid. Besides these mechanisms, a number of architectural proteins associate with the chromosomal DNA and cause it to fold into a compact structure by bridging, bending or wrapping DNA. In this review, we provide an overview of the major nucleoid-associated proteins from a structural perspective and we discuss their possible roles in dynamically shaping the bacterial nucleoid.