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Short arginine-rich proteins called protamines mediate the near crystalline DNA packaging in most vertebrate sperm cells. Protamines are synthesized during spermiogenesis and condense the paternal genome into a transcriptionally inactive state in late-stage spermatids. Protamines from eutherian mammals, including bulls and humans, also contain multiple cysteine residues that form intra- and interprotamine sulfur-sulfur bonds during the final stages of sperm maturation. Although the cross-linked protamine network is known to stabilize the resulting nucleoprotamine structure, little is known about the role of disulfide bonds on DNA condensation in the mammalian sperm. Using small angle x-ray scattering, we show that isolated bull nuclei achieve slightly lower DNA packing densities compared to salmon nuclei despite salmon protamine lacking cysteine residues. Surprisingly, reduction of the intermolecular sulfur-sulfur bonds of bull protamine results in tighter DNA packing. Complete reduction of the intraprotamine disulfide bonds ultimately leads to decondensation, suggesting that disulfide-mediated secondary structure is also critical for proper protamine function. Lastly, comparison of multiple bull collections showed some to have aberrant x-ray scattering profiles consistent with incorrect disulfide bond formation. Together, these observations shed light on the biological functions of disulfide linkages for in vivo DNA packaging in sperm chromatin.

Releasing the packaged viral DNA into the host cell is an essential process to initiate viral infection. In many double-stranded DNA bacterial viruses and herpesviruses, the tightly packaged genome is hexagonally ordered and stressed in the protein shell, called the capsid. DNA condensed in this state inside viral capsids has been shown to be trapped in a glassy state, with restricted molecular motion in vitro. This limited intracapsid DNA mobility is caused by the sliding friction between closely packaged DNA strands, as a result of the repulsive interactions between the negative charges on the DNA helices. It had been unclear how this rigid crystalline structure of the viral genome rapidly ejects from the capsid, reaching rates of 60,000 bp/s. Through a combination of single-molecule and bulk techniques, we determined how the structure and energy of the encapsidated DNA in phage λ regulates the mobility required for its ejection. Our data show that packaged λ-DNA undergoes a solid-to-fluid–like disordering transition as a function of temperature, resulting locally in less densely packed DNA, reducing DNA–DNA repulsions. This process leads to a significant increase in genome mobility or fluidity, which facilitates genome release at temperatures close to that of viral infection (37 °C), suggesting a remarkable physical adaptation of bacterial viruses to the environment of Escherichia coli cells in a human host.

DNA in the human Herpes simplex virus type 1 (HSV-1) capsid is packaged to a tight density. This leads to tens of atmospheres of internal pressure responsible for the delivery of the herpes genome into the cell nucleus. In this study we show that despite its liquid crystalline state inside the capsid, the DNA is fluid-like which facilitates its ejection into the cell nucleus during infection. We found that the sliding friction between closely packaged DNA strands, caused by interstrand repulsive interactions, is reduced by the ionic environment, mimicking that of epithelial cells and neurons susceptible to herpes infection. However, variations in the ionic conditions corresponding to neuronal activity can restrict DNA mobility in the capsid, making it more solid-like. This can inhibit intranuclear DNA release and interfere with viral replication. In addition, the temperature of the human host (37°C) induces a disordering transition of the encapsidated herpes genome which reduces interstrand interactions and provides genome mobility required for infection.

Protamines are small, highly positively charged peptides used to package DNA at very high densities in sperm nuclei. Tight DNA packing is considered essential for the minimization of DNA damage by mutagens and reactive oxidizing species. A striking and general feature of protamines is the almost exclusive use of arginine over lysine for the positive charge to neutralize DNA. We have investigated whether this preference for arginine might arise from a difference in DNA condensation by arginine and lysine peptides. The forces underlying DNA compaction by arginine, lysine, and ornithine peptides are measured using the osmotic stress technique coupled with X-ray scattering. The equilibrium spacings between DNA helices condensed by lysine and ornithine peptides are significantly larger than the interhelical distances with comparable arginine peptides. The DNA surface-to-surface separation, for example, is some 50% larger with polylysine than with polyarginine. DNA packing by lysine rich peptides in sperm nuclei would allow much greater accessibility to small molecules that could damage DNA. The larger spacing with lysine peptides is caused by both a weaker attraction and a stronger short-range repulsion relative to that of the arginine peptides. A previously proposed model for binding of polyarginine and protamine to DNA provides a convenient framework for understanding the differences between the ability of lysine and arginine peptides to assemble DNA.

The DNA structure in phage capsids is determined by DNA–DNA interactions and bending energy. The effects of repulsive interactions on DNA interaxial distance were previously investigated, but not the effect of DNA bending on its structure in viral capsids. By varying packaged DNA length and through addition of spermine ions, we transform the interaction energy from net repulsive to net attractive. This allowed us to isolate the effect of bending on the resulting DNA structure. We used single particle cryo-electron microscopy reconstruction analysis to determine the interstrand spacing of double-stranded DNA encapsidated in phage λ capsids. The data reveal that stress and packing defects, both resulting from DNA bending in the capsid, are able to induce a long-range phase transition in the encapsidated DNA genome from a hexagonal to a cholesteric packing structure. This structural observation suggests significant changes in genome fluidity as a result of a phase transition affecting the rates of viral DNA ejection and packaging.

Trimethylamine N-oxide (TMAO) is a naturally occurring protecting osmolyte that stabilizes the folded state of proteins and also counteracts the destabilizing effect of urea on protein stability. Experimentally, it has been inferred that TMAO is preferentially excluded from the vicinity of protein surfaces. Here, we combine computer modeling and experimental measurements to gain an understanding of the mechanism of the protecting effect of TMAO on proteins. We have developed an all-atom molecular model for TMAO that captures the exclusion of TMAO from model compounds and protein surfaces, as a consequence of incorporating realistic TMAO-water interactions through osmotic pressure measurements. Osmotic pressure measurements also suggest no significant attraction between urea and TMAO molecules in solution. To obtain an accurate potential for molecular simulations of protein stability in TMAO solutions, we have explored different ways of parametrizing the protein/osmolyte and osmolyte/osmolyte interactions by scaling charges and the strength of Lennard-Jones interactions and carried out equilibrium folding experiments of Trp-cage miniprotein in the presence of TMAO to guide the parametrization. Our calculations suggest a general principle for preferential interaction behavior of cosolvents with protein surfaces--preferentially excluded osmolytes have repulsive self-interaction given by osmotic coefficient φ > 1, while denaturants, in addition to having attractive interactions with the proteins, have favorable self-interaction given by osmotic coefficient φ < 1, to enable preferential accumulation in the vicinity of proteins.

Structured water on apposing surfaces can generate significant energies due to reorganization and displacement of water as the surfaces encounter each other. Force measurements on a multitude of biological structures using the osmotic stress technique have elucidated commonalities that point toward an underlying hydration force. In this review, the forces of two contrasting systems are considered in detail: highly charged DNA and nonpolar, uncharged hydroxypropyl cellulose. Conditions for both net repulsion and attraction, along with the measured exclusion of chemically different solutes from these macromolecular surfaces, are explored and demonstrate common features consistent with a hydration force origin. Specifically, the observed interaction forces can be reduced to the effects of perturbing structured surface water.

Using osmotic stress coupled with X-ray scattering, we have directly examined the salt sensitivity of the intermolecular forces between helices in condensed protamine-DNA arrays. Thermodynamic forces are measured from the dependence of DNA helical interaxial spacings on external salt concentration or the osmotic pressure applied by neutral polymer solutions in equilibrium with the condensed phase. Force curves of salmon protamine-DNA condensates are highly dependent on salt species and concentration, indicating salt binding to protamine-DNA complexes. This dependence of the forces on salt species follows the Hofmeister series for anions. Chaotropic anions bind more tightly to protamine-DNA arrays than kosmotropic anions, thus more greatly disrupting the attractive thermodynamic forces. Variations with cation type are small compared with those observed for anions. Further, osmotic stress is used to estimate the number of ions bound in the condensed phase through a Gibbs-Duhem relationship. We estimate that at equilibrium, ∼1 Br(-) is bound per protamine molecule at 200 mM NaBr concentration. Remarkably, this one bound anion results in a change of ∼12% in the surface-to-surface distance between DNA helices. Potential biological implications of this attractive force salt sensitivity are discussed.

The DNA binding stringency of restriction endonucleases is crucial for their proper function. The x-ray structures of the specific and non-cognate complexes of the restriction nuclease EcoRV are considerably different suggesting significant differences in the hydration and binding free energies. Nonetheless, the majority of studies performed at pH 7.5, optimal for enzymatic activity, have found less than a 10-fold difference between EcoRV binding constants to the specific and nonspecific sequences in the absence of divalent ions. We used a recently developed self-cleavage assay to measure EcoRV-DNA competitive binding and to evaluate the influence of water activity, pH and salt concentration on the binding stringency of the enzyme in the absence of divalent ions. We find the enzyme can readily distinguish specific and nonspecific sequences. The relative specific-nonspecific binding constant increases strongly with increasing neutral solute concentration and with decreasing pH. The difference in number of associated waters between specific and nonspecific DNA-EcoRV complexes is consistent with the differences in the crystal structures. In spite of the large pH dependence of the sequence specificity, the osmotic pressure dependence indicates little change in structure with pH. The large osmotic pressure dependence means that measurement of protein-DNA specificity in dilute solution cannot be directly applied to binding in the crowded environment of the cell. In addition to divalent ions, water activity and pH are key parameters that strongly modulate binding specificity of EcoRV.

Understanding and manipulation of the forces assembling DNA/RNA helices have broad implications for biology, medicine, and physics. One subject of significance is the attractive force between dsDNA mediated by polycations of valence ≥3. Despite extensive studies, the physical origin of the “like-charge attraction” remains unsettled among competing theories. Here we show that triple-strand DNA (tsDNA), a more highly charged helix than dsDNA, is precipitated by alkaline-earth divalent cations that are unable to condense dsDNA. We further show that our observation is general by examining several cations (Mg 2+ , Ba 2+ , and Ca 2+ ) and two distinct tsDNA constructs. Cation-condensed tsDNA forms ordered hexagonal arrays that redissolve upon adding monovalent salts. Forces between tsDNA helices, measured by osmotic stress, follow the form of hydration forces observed with condensed dsDNA. Probing a well-defined system of point-like cations and tsDNAs with more evenly spaced helical charges, the counterintuitive observation that the more highly charged tsDNA (vs. dsDNA) is condensed by cations of lower valence provides new insights into theories of polyelectrolytes and the biological and pathological roles of tsDNA. Cations and tsDNAs also hold promise as a model system for future studies of DNA–DNA interactions and electrostatic interactions in general.

Understanding the strength and specificity of interactions among biologically important macromolecules that control cellular functions requires quantitative knowledge of intermolecular forces. Controlled DNA condensation and assembly are particularly critical for biology, with separate repulsive and attractive intermolecular forces determining the extent of DNA compaction. How these forces depend on the charge of the condensing ion has not been determined, but such knowledge is fundamental for understanding the basis of DNA-DNA interactions. Here, we measure DNA force-distance curves for a homologous set of arginine peptides. All forces are well fit as the sum of two exponentials with 2.4- and 4.8-Å decay lengths. The shorter-decay-length force is always repulsive, with an amplitude that varies slightly with length or charge. The longer-decay-length force varies strongly with cation charge, changing from repulsion with Arg1 to attraction with Arg2. Force curves for a series of homologous polyamines and the heterogeneous protein protamine are quite similar, demonstrating the universality of these forces for DNA assembly. Repulsive amplitudes of the shorter-decay-length force are species-dependent but nearly independent of charge within each species. A striking observation was that the attractive force amplitudes for all samples collapse to a single curve, varying linearly with the inverse of the cation charge.

Many specific sequence DNA binding proteins locate their target sequence by first binding to DNA nonspecifically, then by linearly diffusing or hopping along DNA until either the protein dissociates from the DNA or it finds the recognition sequence. We have devised a method for measuring one-dimensional diffusion along DNA based on the ratio of the dissociation rate of protein from DNA fragments containing one specific binding site to the dissociation rate from DNA fragments containing two specific binding sites. Our extensive measurements of dissociation rates and specific-nonspecific relative binding constants of the restriction nuclease EcoRI enable us to determine the diffusion rate of nonspecifically bound protein along the DNA. By varying the distance between the two binding sites, we confirm a linear diffusion mechanism. The sliding rate is relatively insensitive to salt concentration and osmotic pressure, indicating that the protein moves smoothly along the DNA probably following the helical phosphate-sugar backbone of DNA. We calculate a diffusion coefficient for EcoRI of 3 x 10(4) bp(2) s(-)(1) EcoRI is able to diffuse approximately 150 bp, on average, along the DNA in 1 s. This diffusion rate is about 2000-fold slower than the diffusion of free protein in solution. A factor of 40-50 can be accounted for by rotational friction resulting from following the helical path of the DNA backbone. Two possibilities could account for the remaining activation energy: salt bridges between the DNA and the protein are transiently broken, or the water structure at the protein-DNA interface is disrupted as the two surfaces move past each other.

By combining single-molecule magnetic tweezers and osmotic stress on DNA assemblies, we separate attractive and repulsive components of the total intermolecular interaction between multivalent cation condensed DNA. Based on measurements of several different cations, we identify two invariant properties of multivalent cation-mediated DNA interactions: repulsive forces decay exponentially with a 2.3 +/- 0.1 A characteristic decay length and the attractive component of the free energy is always 2.3 +/- 0.2 times larger than the repulsive component of the free energy at force-balance equilibrium. These empirical constraints are not consistent with current theories that attribute DNA-DNA attractions to a correlated lattice of counterions. The empirical constraints are consistent with theories for Debye-Hückel interactions between helical line charges and with the order-parameter formalism for hydration forces. Each of these theories posits exponentially decaying attractions and, if we assume this form, our measurements indicate a cation-independent, 4.8 +/- 0.5 A characteristic decay length for intermolecular attractions between condensed DNA molecules.

The interaction of urea and several naturally occurring protein-stabilizing osmolytes, glycerol, sorbitol, glycine betaine, trimethylamine oxide (TMAO), and proline, with condensed arrays of a hydrophobically modified polysaccharide, hydroxypropylcellulose (HPC), has been inferred from the effect of these solutes on the forces acting between HPC polymers. Urea interacts only very weakly. The protein-stabilizing osmolytes are strongly excluded. The observed energies indicate that the exclusion of the protein-stabilizing osmolytes from protein hydrophobic side chains would add significantly to protein stability. The temperature dependence of exclusion indicates a significant contribution of enthalpy to the interaction energy in contrast to expectations from "molecular crowding" theories based on steric repulsion. The dependence of exclusion on the distance between HPC polymers rather indicates that perturbations of water structuring or hydration forces underlie exclusion.

Interactions governing protein folding, stability, recognition, and activity are mediated by hydration. Here, we use small-angle neutron scattering coupled with osmotic stress to investigate the hydration of two proteins, lysozyme and guanylate kinase (GK), in the presence of solutes. By taking advantage of the neutron contrast variation that occurs upon addition of these solutes, the number of protein-associated (solute-excluded) water molecules can be estimated from changes in both the zero-angle scattering intensity and the radius of gyration. Poly(ethylene glycol) exclusion varies with molecular weight. This sensitivity can be exploited to probe structural features such as the large internal GK cavity. For GK, small-angle neutron scattering is complemented by isothermal titration calorimetry with osmotic stress to also measure hydration changes accompanying ligand binding. These results provide a framework for studying other biomolecular systems and assemblies using neutron scattering together with osmotic stress.

We have measured forces generated by multivalent cation-induced DNA condensation using singlemolecule magnetic tweezers. In the presence of cobalt hexammine, spermidine, or spermine, stretched DNA exhibits an abrupt configurational change from extended to condensed. This occurs at a well-defined condensation force that is nearly equal to the condensation free energy per unit length. The multivalent cation concentration dependence for this condensation force gives the apparent number of multivalent cations that bind DNA upon condensation. The measurements show that the lower critical concentration for cobalt hexammine as compared to spermidine is due to a difference in ion binding, not a difference in the electrostatic energy of the condensed state as previously thought. We also show that the resolubilization of condensed DNA can be described using a traditional Manning– Oosawa cation adsorption model, provided that cation–anion pairing at high electrolyte concentrations is taken into account. Neither overcharging nor significant alterations in the condensed state are required to describe the resolubilization of condensed DNA. The same model also describes the spermidine 3+ /Na + phase diagram measured previously.

Releasing the packaged viral DNA into the host cell is an essential process to initiate viral infection. In many double-stranded DNA bacterial viruses and herpesviruses, the tightly packaged genome is hexagonally ordered and stressed in the protein shell, called the capsid. DNA condensed in this state inside viral capsids has been shown to be trapped in a glassy state, with restricted molecular motion in vitro. This limited intracapsid DNA mobility is caused by the sliding friction between closely packaged DNA strands, as a result of the repulsive interactions between the negative charges on the DNA helices. It had been unclear how this rigid crystalline structure of the viral genome rapidly ejects from the capsid, reaching rates of 60,000 bp/s. Through a combination of single-molecule and bulk techniques, we determined how the structure and energy of the encapsidated DNA in phage λ regulates the mobility required for its ejection. Our data show that packaged λ-DNA undergoes a solid-to-fluid-like disordering transition as a function of temperature, resulting locally in less densely packed DNA, reducing DNA-DNA repulsions. This process leads to a significant increase in genome mobility or fluidity, which facilitates genome release at temperatures close to that of viral infection (37 °C), suggesting a remarkable physical adaptation of bacterial viruses to the environment of Escherichia coli cells in a human host.

Using the osmotic stress technique together with a self-cleavage assay we measure directly differences in sequestered water between specific and nonspecific DNA-BamHI complexes as well as the numbers of water molecules released coupled to specific complex formation. The difference between specific and nonspecific binding free energy of the BamHI scales linearly with solute osmolal concentration for seven neutral solutes used to set water activity. The observed osmotic dependence indicates that the nonspecific DNA-BamHI complex sequesters some 120-150 more water molecules than the specific complex. The weak sensitivity of the difference in number of waters to the solute identity suggests that these waters are sterically inaccessible to solutes. This result is in close agreement with differences in the structures determined by x-ray crystallography. We demonstrate additionally that when the same solutes that were used in competition experiments are used to probe changes accompanying the binding of free BamHI to its specific DNA sequence, the measured number of water molecules released in the binding process is strikingly solute-dependent (with up to 10-fold difference between solutes). This result is expected for reactions resulting in a large change in a surface exposed area.

We use the osmotic pressure dependence of dissociation rates and relative binding constants to infer differences in sequestered water among complexes of lambda Cro repressor with varied DNA recognition sequences. For over a 1000-fold change in association constant, the number of water molecules sequestered by non-cognate complexes varies linearly with binding free energy. One extra bound water molecule is coupled with the loss of approximately 150 cal/mol complex in binding free energy. Equivalently, every tenfold decrease in binding constant at constant salt and temperature is associated with eight to nine additional water molecules sequestered in the non-cognate complex. The relative insensitivity of the difference in water molecules to the nature of the osmolyte used to probe the reaction suggests that the water is sterically sequestered. If the previously measured changes in heat capacity for lambda Cro binding to different non-cognate sequences are attributed solely to this change in water, then the heat capacity change per incorporated water is almost the same as the difference between ice and water. The associated changes in enthalpies and entropies, however, indicate that the change in complex structure involves more than a simple incorporation of fixed water molecules that act as adaptors between non-complementary surfaces.

The physical forces that underlie the exclusion of solutes from macromolecular surfaces can be probed in a similar way as the measurement of forces between macromolecules in condensed arrays using the osmotic stress technique and x-ray scattering. We report here the dependence of alcohol exclusion or, equivalently, the preferential hydration of DNA on the spacing between helices in condensed arrays. The actual forces describing exclusion are quite different from the commonly assumed steric crowding coupled with weak binding. For a set of 12 nonpolar alcohols, exclusion is due to repulsive hydration interactions with the charged DNA surface. Exclusion amplitudes do not depend simply on size, but rather on the balance between alkyl carbons and hydroxyl oxygens. Polyols are included at very close spacings. The distance dependence of polyol inclusion, however, is quite different from nonpolar alcohol exclusion, suggesting the underlying mechanism of interaction is different.

We take advantage of our previous observation that neutral osmolytes can strongly slow down the rate of DNA-protein complex dissociation to develop a method that uses osmotic stress to 'freeze' mixtures of DNA-protein complexes and prevent further reaction enabling analysis of the products. We apply this approach to the gel mobility shift assay and use it to modify a self-cleavage assay that uses the nuclease activity of the restriction endonucleases to measure sensitively their specific binding to DNA. At sufficiently high concentrations of neutral osmolytes the cleavage reaction can be triggered at only those DNA fragments with initially bound enzyme. The self-cleavage assay allows measurement of binding equilibrium and kinetics directly in solution avoiding the intrinsic problems of gel mobility shift and filter binding assays while providing the same sensitivity level. Here we compare the self-cleavage and gel mobility shift assays applied to the DNA binding of EcoRI and BamHI restriction endonucleases. Initial results indicate that BamHI dissociation from its specific DNA sequence is strongly linked to water activity with the half-life time of the specific complex increasing approximately 20-fold from 0 to 1 osmolal betaine.

The distance dependence for the preferential exclusion of several salts and neutral solutes from hydroxypropyl cellulose (HPC) has been measured via the effect of these small molecules on the thermodynamic forces between HPC polymers in ordered arrays. The concentration of salts and neutral solutes decreases exponentially as the spacing between apposing nonpolar HPC surfaces decreases. For all solutes, the spatial decay lengths of this exclusion are remarkably similar to those observed between many macromolecules at close spacings where intermolecular forces have been ascribed to the energetics of water structuring. Exclusion magnitudes depend strongly on the nature and size of the particular salt or solute; for the three potassium salts studied, exclusion follows the anionic Hofmeister series. The change in the number of excess waters associated with HPC polymers is independent of solute concentration suggesting that the dominating interactions are between solutes and the hydrated polymer. These findings further confirm the importance of solvation interactions and reveal an unexpected unity of Hofmeister effects, preferential hydration, and hydration forces.

Using microcalorimetry, we follow changes in the association free energy of beta-cyclodextrin (CD) with the hydrophobic part of adamantane carboxylate (AD) due to added salt or polar (net-neutral) solutes that are excluded from the molecular interacting surfaces. Changes in binding constants with solution osmotic pressure (water activity) translate into changes in the preferential hydration upon complex formation. We find that these changes correspond to a release of 15-25 solute-excluding waters upon CD/AD association. Reflecting the preferential interaction of solute with reactants versus products, we find that changes in hydration depend on the type of solute used. All solutes used here result in a large change in the enthalpy of the CD-AD binding reaction. In one class of solutes, the corresponding entropy change is much smaller, while in the other class, the entropy change almost fully compensates the solute-specific enthalpy. For many of the solutes, the number of waters released correlates well with their effect on air-water surface tensions. We corroborate these results using vapor pressure osmometry to probe individually the hydration of reactants and products of association, and we discuss the possible interactions and forces between cosolute and hydrophobic surfaces responsible for different kinds of solute exclusion.

Packing free energies and structural transitions of concentrated arrays of guar galactomannan macromolecules and of guars modified by hydroxypropyl substitution (HPG) have been studied using the osmotic stress method combined with X-ray scattering. All show a liquid crystalline structure with packing free energies that are very similar for guar and HPG and well described by the model of Selinger and Bruinsma for entropic steric repulsion between chains. In addition, a transition from the liquid crystalline form to a crystalline structure is observed as native guar becomes more densely packed. This transition is related to the propensity of guar to form intermolecular hydrogen bonds in solutions. Hydroxypropyl substitution of galactomannan hydroxyl groups causes steric interference that decreases the stability of this hydrogen-bonded crystalline structure. Even for moderately hydroxypropyl-substituted guar (∼0.3 HP/sugar residue), the transition occurs at a much higher osmotic pressure than for native guar...

We have measured the dependencies of both the dissociation rate of specifically bound EcoRI endonuclease and the ratio of non-specific and specific association constants on water activity, salt concentration, and pH in order to distinguish the contributions of these solution components to specific and non-specific binding. For proteins such as EcoRI that locate their specific recognition site efficiently by diffusing along non-specific DNA, the specific site dissociation rate can be separated into two steps: an equilibrium between non-specific and specific binding of the enzyme to DNA, and the dissociation of non-specifically bound protein. We demonstrated previously that the osmotic dependence of the dissociation rate is dominated by the equilibrium between specific and non-specific binding that is independent of the osmolyte nature. The remaining osmotic sensitivity linked to the dissociation of non-specifically bound protein depends significantly on the particular osmolyte used, indicating a change in solute-accessible surface area. In contrast, the dissociation of non-specifically bound enzyme accounts for almost all the pH and salt-dependencies. We observed virtually no pH-dependence of the equilibrium between specific and non-specific binding measured by the competition assay. The observed weak salt-sensitivity of the ratio of specific and non-specific association constants is consistent with an osmotic, rather than electrostatic, action. The seeming lack of a dependence on viscosity suggests the rate-limiting step in dissociation of non-specifically bound protein is a discrete conformational change rather than a general diffusion of the protein away from the DNA.

The thermodynamic forces between hydroxypropylcellulose (HPC) molecules at close separation have been measured using the osmotic stress method coupled with X-ray scattering. Two force regimes are apparent: a very short ranged, temperature insensitive force that dominates interactions within the last 2.5 A separation and a longer-ranged force that varies exponentially vs distance with a decay length of about 3−4 A. The longer-ranged force characteristics are strikingly similar to those found for many other macromolecules. We have previously argued that these characteristics are due to a hydration or water structuring force. The amplitude of the longer ranged force in these condensed arrays decreases linearly with temperature. The force switches from repulsive to attractive at ∼40 °C, about the same temperature at which HPC precipitates from dilute solution. The entropy of the HPC condensed array, derived from the temperature dependence of the force, also varies exponentially vs spacing with a 3−4 A decay ...

Type II restriction endonucleases require metal ions to specifically cleave DNA at canonical sites. Despite the wealth of structural and biochemical information, the number of Mg(2+) ions used for cleavage by EcoRV, in particular, at physiological divalent ion concentrations has not been established. In this work, we employ a single-turnover technique that uses osmotic stress to probe reaction kinetics between an initial specific EcoRV-DNA complex formed in the absence of Mg(2+) and the final cleavage step. With osmotic stress, complex dissociation before cleavage is minimized and the reaction rates are slowed to a convenient time scale of minutes to hours. We find that cleavage occurs by a two-step mechanism that can be characterized by two rate constants. The dependence of these rate constants on Mg(2+) concentration and osmotic pressure gives the number of Mg(2+) ions and water molecules coupled to each kinetic step of the EcoRV cleavage reaction. Each kinetic step is coupled to the binding 1.5-2.5 Mg(2+) ions, the uptake of ∼30 water molecules, and the cleavage of a DNA single strand. We suggest that each kinetic step reflects an independent, rate-limiting conformational change of each monomer of the dimeric enzyme that allows Mg(2+) ion binding. This modified single-turnover protocol has general applicability for metalloenzymes.

Water often acts as a critical reactant in cellular reactions. Its role can be detected by modulating water activity with osmotic agents. We describe the principles behind this 'osmotic stress' strategy, and survey the ubiquity of water effects on molecular structures that have aqueous, solute-excluding regions. These effects are seen with single-functioning molecules such as membrane channels and solution enzymes, as well as in the molecular assembly of actin, the organization of DNA and the specificity of protein/DNA interactions.

In many respects, the dissociation rate constant of a DNA– protein or protein–protein complex is as important a physical parameter as the equilibrium constant. The regulation of most cellular activities and developmental control are dynamic rather than static processes. With many techniques, the successful physicochemical characterization of a complex depends critically on the lifetime of the complex during isolation or measurement. With present technologies, the very powerful, single molecule methods used for mapping the kinetic barriers of complex dissociation reactions require lifetimes on the order of minutes. We report here that the dissociation rate of the specific complex between the restriction nuclease EcoRI and its recognition DNA sequence is strongly dependent on water activity (in addition to its known dependence on salt activity). This observation means that the dissociation rate of complexes in the crowded conditions found within cells cannot be straightforwardly predicted from dilute solution measurements, even though salt, temperature, and pH conditions are fixed to those found in vivo. In addition, these results suggest a practical method to extend the lifetime of “weak” complexes sufficiently to perform biophysical and biochemical characterizations. The thermodynamic analysis of protein, peptide, and drug interactions with DNA has focused on the sensitivity of free energies to temperature, pH, and salt concentration (reviewed in Refs. 8–11). However, the displacement of water that should accompany specific complex formation as direct DNA–protein contacts replace DNA–water and protein–water interactions (reviewed in Refs. 12 and 13) means that binding energies will also depend on water activity. The number of water molecules released to the bulk solution in the process of DNA–protein complex formation can be measured from the sensitivity of the binding constant to bulk solution water activity. This procedure is analogous to measuring ion release through the dependence of binding constant on salt activity, or protonation through pH sensitivity. Water activity can be varied by adding neutral solutes that do not themselves directly affect the DNA–protein binding. This approach has been used to measure changes in hydration accompanying the DNA binding of several proteins: Escherichia coli gal repressor, E. coli CAP protein, Hin recombinase, Ultrabithorax and Deformed homeodomains, E. coli tyr repressor, EcoRI, and the Sso7d protein. Using an equilibrium competition approach, we showed previously that the free energy difference between complexes of the restriction nuclease EcoRI with nonspecific DNA and with the enzyme’s recognition sequence is linearly dependent on the change in water chemical potential of the solution with added osmolyte. This dependence translates into an additional ; 110 waters that are sequestered by the nonspecific complex relative to the specific complex at 20°C and ; 70 more waters at 4°C. This significant difference in retained waters between specific and nonspecific complexes is accompanied by a difference of ; 10 between the specific and nonspecific EcoRI DNA binding constants. The difference in hydration additionally was seen to be insensitive to the size and chemical nature of the solute used to change water activity for a wide variety of osmolytes. This result most probably implies that the water retained by the nonspecific complex is sequestered in a cavity at the DNA–protein interface that is sterically inaccessible to solutes.

The forces that govern DNA double helix organization are being finally systematically measured. The non-specific longer-range interactions--such as electrostatic interactions, hydration, and fluctuation forces--that treat DNA as a featureless rod are reasonably well recognized. Recently, specific interactions--such as those controlled by condensing agents or those consequent to helical structure-are beginning to be recognized, quantified and tested.

The free energy difference between complexes of the restriction nuclease EcoRI with nonspecific DNA and with the enzyme's recognition sequence is linearly dependent on the water chemical potential of the solution, set using several very different solutes, ranging from glycine and glycerol to triethylene glycol and sucrose. This osmotic dependence indicates that the nonspecific complex sequesters some 110 waters more than the specific complex with the recognition sequence. The insensitivity of the difference in number of waters released to the solute identity further indicates that this water is sequestered in a space that is sterically inaccessible to solutes, most likely at the protein-DNA interface of the nonspecific complex. Calculations based on the structure of the specific complex suggest that the apposing DNA and protein surfaces in the nonspecific complex retain approximately a full hydration layer of water.

The actin-activated Mg(2+)-ATPase activity of Acanthamoeba myosin II minifilaments is dependent both on Mg2+ concentration and on the state of phosphorylation of three serine sites at the C-terminal end of the heavy chains. Previous electric birefringence experiments on minifilaments showed a large dependence of signal amplitude on the phosphorylation state and Mg2+ concentration, consistent with large changes in filament flexibility. These observations suggested that minifilament stiffness was important for function. We now report that the binding of nucleotides to dephosphorylated minifilaments at Mg2+ concentrations needed for optimal activity increases the flexibility by about 10-fold, as inferred from the birefringence signal amplitude increase. An increase in flexibility with nucleotide binding is not observed for dephosphorylated minifilaments at lower Mg2+ concentrations or for phosphorylated minifilaments at any Mg2+ concentrations examined. The relaxation times for minifilament rotations that are sensitive to the conformation myosin heads are also observed to depend on phosphorylation, Mg2+ concentration, and nucleotide binding. These latter experiments indicate that the actin-activated Mg2+ concentration, and nucleotide binding. These latter experiments indicate that the actin-activated Mg(2+)-ATPase activity of Acanthamoeba myosin II correlates with both changes in myosin head conformation and the ability of minifilaments to cycle between stiff and flexible conformations coupled to nucleotide binding and release.

Simultaneous measurements on the packing and energetics of high-density liquid crystalline DNA phases show that the crowding of long DNA polyelectrolytes at ever increasing concentrations is accomplished through straightening of the random coils that the double helix assumes in dilute solution. X-ray scattering by ordered phases reveals that the local straightening of the molecules is also accompanied by their progressive immobilization and confinement within the molecular 'cages' created by neighboring molecules. These effects can be clearly observed through the measured energies of DNA packing under osmotic stress and through the changes in structural and dynamic characteristics of X-ray scattering from DNA in ordered arrays at different concentrations. The character of the confinement of large DNA motions for a wide range of DNA concentrations is dominated by the soft potentials of direct interaction. We do not see the power-law variation of energy vs. volume expected from space-filling fluctuations of molecules that enjoy no interaction except the hard clash of steric repulsion. Rather, in highly concentrated DNA mesophases we see a crowding of molecules through electrostatic or hydration repulsion that confines their movements and positions. This view is based on directly measured packing energies as well as on concurrently measured structural parameters while the DNA double helices are condensed under an externally applied osmotic pressure.

We find that netropsin and netropsin analogue protect DNA from EcorI restriction nuclease cleavage by inhibiting the binding of EcoRI to its recognition site. The drug -- EcoRI competitive binding constants measured by a electrophoretic gel mobility shift assay are in excellent agreement with the nuclease protection results for the netropsin analogue and in reasonable agreement for netropsin itself. Crystal structures of complexes show that netropsin and EcoRI recognize different regions of the DNA helix and would not be expected to compete for binding to the restriction nuclease site. The large distortions in DNA structure caused by EcoRI binding are most likely responsible for an indirect structural competition with netropsin binding. The structural change in the netropsin binding region induced by EcoRI binding to its region essentially prevents drug association. Given the reciprocal nature of competition, binding of netropsin to a minimally perturbed structure then also makes the association of EcoRI energetically more costly. Since many sequence specific DNA binding proteins significantly bend or distort the DNA helix, drugs that compete indirectly can be as effective as drugs that act through a direct steric inhibition.

Direct transfer of proteins between DNA helices is a recognized important feature of the recognition site search process. Direct transfer is characterized by a dissociation rate that depends on total DNA concentration. This is taken as evidence for the formation of an intermediate DNA-protein-DNA ternary complex. We find that the dissociation rate of EcoRI-DNA-specific complexes at 80 mM NaCl depends on the concentration of competitor oligonucleotide suggesting that direct transfer contributes to EcoRI dissociation. This dependence on competitor DNA concentration is not seen at 180 mM salt. A careful examination of the salt concentration dependence of the dissociation rate, however, shows that the predictions for the formation of a ternary complex are not observed experimentally. The findings can be rationalized by considering that just after dissociating from a DNA fragment the protein remains in close proximity to that fragment, can reassociate with it, and diffuse back to the recognition site rather than bind to an oligonucleotide in solution, a hopping excursion. The probability that a protein will bind to an oligonucleotide during a hop can be approximately calculated and shown to explain the data. A dependence of the dissociation rate of a DNA-protein complex on competitor DNA concentration does not necessarily mean direct transfer.

The electrophoretic mobility shift assay (EMSA) is one of the most popular tools in molecular biology for measuring DNA-protein interactions. The technique uses polyacrylamide gel electrophoresis to separate DNA-protein or RNA-protein complexes from free DNA or RNA. Polyacrylamide gels stabilize DNA-protein, RNA-protein, or protein-protein complexes by a crowding or caging mechanism. Still every technique has its limitations. EMSA, as standardly practiced today, works well for complexes with association binding constants Ka>109 M−1 under normal conditions of salt and pH. Many DNA-protein complexes are not stable enough so that they dissociate while moving through the gel matrix giving smeared bands that are difficult to quantitate reliably. We take advantage of our previous observation that neutral osmolytes can strongly slow down the rate of DNA-protein complex dissociation to develop a method that uses osmotic stress to stabilize complexes in the gel matrix as well as in the solution. In this work we demonstrate that the addition of the osmolyte triethylene glycol to polyacrylamide gels dramatically stabilizes labile restriction endonuclease EcoRI complexes with nonspecific DNA sequences enabling quantitation of binding using the electrophoretic mobility shift assay. The significant improvement of the technique resulting from the addition of osmolytes to the gel matrix greatly extends the range of binding constants of protein-DNA complexes that can be investigated using this widely used assay. Extension of this approach to other techniques used for separating bound and free components such as gel chromatography and capillary electrophoresis is straightforward.

In spermatogenesis, chromatin histones are replaced by arginine-rich protamines to densely compact DNA in sperm heads. Tight packaging is considered necessary to protect the DNA from damage. We have previously observed that the net attraction between salmon protamine condensed DNA helices was much smaller for DNA condensed by the equivalent homo-arginine peptide. We hypothesized that this is caused by the neutral amino acids present in protamines. To better understand the nature of the forces condensing protamine-DNA assemblies and their dependence on amino acid content, the effect of neutral and negatively charged amino acids on DNA-DNA intermolecular forces was studied using model peptides containing six arginines. The component attractive and repulsive forces that determine the net attraction and equilibrium interhelical distance have been determined by the osmotic stress technique coupled with x-ray scattering as a function of the chemistry, position, and number of the amino acid inserted. Neutral amino acids inserted into hexa-arginine increase the short-range repulsion; while only slightly decreasing the longer-ranged attraction. The decrease in net attraction between salmon protamine condensed helices compared with arginine homopeptides can be well explained by amino acid content alone. Inserting a negatively charged amino acid into hexa-arginine dramatically weakens the net attraction. Both these observation have biological implications for protamine-DNA packaging in sperm heads.

We have measured hemoglobin oxygen uptake vs. the partial pressure of oxygen, with independently controlled activities of chloride and water. This control is effected by combining different concentrations of NaCl and sucrose in the bathing solution to achieve: (i) water activities were varied and Cl- activity was fixed, (ii) both water and Cl- activities were varied with a traditional NaCl titration, or (iii) Cl- activities were varied and water activity was fixed by adding compensating sucrose. Within this analysis, the Cl(-)-regulated loading of four oxygens can be described by the reaction Hb.Cl- + 4 O2 + 65 H2O in equilibrium with Hb.4O2.65H2O + Cl-. The dissociation of a neatly integral chloride, rather than the nonintegral 1.6 chlorides inferred earlier from simple salt titration, demonstrates the need to recognize the potentially large contribution from changes in water activity when titrating weakly binding solutes. The single-chloride result might simplify structural considerations of the action of Cl- in hemoglobin regulation.

Directly measured forces between DNA helices in ordered arrays have been reduced to simple force coefficients and mathematical expressions for the interactions between pairs of molecules. The tabulated force parameters and mathematical expressions can be applied to parallel molecules or, by transformation, to skewed molecules of variable separation and mutual angle. This "toolbox" of intermolecular forces is intended for use in modelling molecular interactions, assembly, and conformation. The coefficients characterizing both the exponential hydration and the electrostatic interactions depend strongly on the univalent counterion species in solution, but are only weakly sensitive to anion type and temperature (from 5 to 50 degrees C). Interaction coefficients for the exponentially varying hydration force seen at spacings less than 10 to 15 A between surfaces are extracted directly from pressure versus interaxial distance curves. Electrostatic interactions are only observed at larger spacings and are always coupled with configurational fluctuation forces that result in observed exponential decay lengths that are twice the expected Debye-Huckel length. The extraction of electrostatic force parameters relies on a theoretical expression describing steric forces of molecules "colliding" through soft exponentially varying direct interactions.

In spermatogenesis, chromatin histones are replaced by arginine-rich protamines to densely compact DNA in sperm heads. Tight packaging is considered necessary to protect the DNA from damage. To better understand the nature of the forces condensing protamine-DNA assemblies and their dependence on amino acid content, the effect of neutral and negatively charged amino acids on DNA-DNA intermolecular forces was studied using model peptides containing six arginines. We have previously observed that the neutral amino acids in salmon protamine decrease the net attraction between protamine-DNA helices compared with the equivalent homo-arginine peptide. Using osmotic stress coupled with x-ray scattering, we have investigated the component attractive and repulsive forces that determine the net attraction and equilibrium interhelical distance as a function of the chemistry, position, and number of the amino acid inserted. Neutral amino acids inserted into hexa-arginine increase the short range repulsion while only slightly affecting longer range attraction. The amino acid content alone of salmon protamine is enough to rationalize the forces that package DNA in sperm heads. Inserting a negatively charged amino acid into hexa-arginine dramatically weakens the net attraction. Both of these observations have biological implications for protamine-DNA packaging in sperm heads.

The DNA binding stringency of restriction endonucleases is crucial for their proper function. The x-ray structures of the specific and non-cognate complexes of the restriction nuclease EcoRV are considerably different suggesting significant differences in the hydration and binding free energies. Nonetheless, the majority of studies performed at pH 7.5, optimal for enzymatic activity, have found less than a 10-fold difference between EcoRV binding constants to the specific and nonspecific sequences in the absence of divalent ions. We used a recently developed self-cleavage assay to measure EcoRV-DNA competitive binding and to evaluate the influence of water activity, pH and salt concentration on the binding stringency of the enzyme in the absence of divalent ions. We find the enzyme can readily distinguish specific and nonspecific sequences. The relative specific-nonspecific binding constant increases strongly with increasing neutral solute concentration and with decreasing pH. The difference in number of associated waters between specific and nonspecific DNA-EcoRV complexes is consistent with the differences in the crystal structures. In spite of the large pH dependence of the sequence specificity, the osmotic pressure dependence indicates little change in structure with pH. The large osmotic pressure dependence means that measurement of protein-DNA specificity in dilute solution cannot be directly applied to binding in the crowded environment of the cell. In addition to divalent ions, water activity and pH are key parameters that strongly modulate binding specificity of EcoRV.

We have applied a self-cleavage assay, developed previously by us, to measure EcoRV-DNA binding in solution. Self-cleavage assay monitors only enzymatically competent complexes of the endonuclease. This technique does not have the limitations of more commonly used gel mobility shift assay while providing the same level of sensitivity. We found that the EcoRV has quite unusual kinetics of specific complex formation in the absence of divalent ions that was not reported previously. A significant fraction of the total enzyme, ∼ 45%, forms enzymatically competent complexes unusually slowly, especially at pH 7.6. This novel result can be explained by a very slow transition between two conformations of the free enzyme in solution. The equilibrium distribution of the slowly and quickly associating protein structures and their exchange kinetics may depend on many parameters including pH, salt, osmolytes, and divalent cations. The observation of at least two kinetics components in association indicates that EcoRV is an allosteric protein with at least two conformations. Allosterism is now recognized as important concept for DNA-protein complexes, offering an additional level of control over binding and activity. We are continuing our investigation into the EcoRV structures responsible for the different kinetic classes of association.

Using solution synchrotron x-ray scattering, we measure the variation of DNA-DNA $d$ spacings in bacteriophage $\ensuremath{\lambda}$ with mono-, di-, and polyvalent salt concentrations, for wild-type [$48.5\ifmmode\times\else\texttimes\fi{}{10}^{3}$ base pairs (bp)] and short-genome-mutant (37.8 kbp) strains. From the decrease in $d$ spacings with increasing salt, we deduce the relative contributions of DNA self-repulsion and bending to the energetics of packaged phage genomes. We quantify the DNA-DNA interaction energies within the intact phage by combining the measured $d$ spacings in the capsid with measurements of osmotic pressure in DNA assemblies under the same salt conditions in bulk solution. In the commonly used Tris-Mg buffer, the DNA-DNA interaction energies inside the phage capsids are shown to be about $1kT/\mathrm{bp}$, an order of magnitude larger than the bending energies.

The actin-activated Mg(2+)-ATPase activity of filamentous Acanthamoeba myosin II is regulated by the state of phosphorylation of three sites at the C terminus of each heavy chain. This phosphorylation at the tip of the tails of monomers in a bipolar filament abolishes the activity of sites some 90 nm distant in the globular heads. Previous studies with copolymeric filaments of phosphorylated and dephosphorylated monomers strongly indicated that the activity of each monomer in a filament is dependent on the level of phosphorylation of neighboring monomers in the filament. We report here electric birefringence measurements showing that, although the overall structures of phosphorylated and dephosphorylated filaments are very similar, large, Mg2+ concentration-dependent differences in internal motion and flexibility are observed. Filaments of dephosphorylated myosin II appear to be about 50-fold stiffer than filaments of phosphorylated myosin II at 4 mM Mg2+. These results are consistent with a model in which the stiffness of the putative hinge region within the rod-like tail of each monomer is determined by the phosphorylation state of the C-terminal tails of overlapping, neighboring monomers. The flexibility of the filaments appears to be directly related to their actin-activated Mg(2+)-ATPase activity.

Binding of Zn 2+ to the 5 S RNA gene sequence of Xenopus borealis results in strong bending of the DNA, as inferred from transient electric birefringence data. The effect is specific for Zn 2+ ; several other divalent ions are not able to induce a bend of a similar magnitude. Using five different fragments that span the binding sequence, we are able to estimate a bend magnitude of at least 55 ° centered at base-pair +65 within the gene. This places the bend within the binding domain of the gene-regulatory protein transcription factor (TF) IIIA. Recent evidence has shown that the protein-DNA complex is also bent. Although our data do not allow us directly to link the two bends, our results suggest that TFIIIA could form a folded structure by stabilizing the same bent conformation that is induced by binding of Zn 2+ . The chemistry of Zn 2+ binding to DNA, and the sequence around the bend center, suggest that the bend is most probably caused by joint co-ordination of Zn 2+ to the N-7 groups of stacked purine residues.

Recent work has shown that pressures inside dsDNA phage capsids can be as high as many tens of atmospheres; it is this pressure that is responsible for initiation of the delivery of phage genomes to host cells. The forces driving ejection of the genome have been shown to decrease monotonically as ejection proceeds, and hence to be strongly dependent on the genome length. Here we investigate the effects of ambient salts on the pressures inside phage-lambda, for the cases of mono-, di-, and tetravalent cations, and measure how the extent of ejection against a fixed osmotic pressure (mimicking the bacterial cytoplasm) varies with cation concentration. We find, for example, that the ejection fraction is halved in 30 mM Mg(2+) and is decreased by a factor of 10 upon addition of 1 mM spermine. These effects are calculated from a simple model of genome packaging, using DNA-DNA repulsion energies as determined independently from x-ray diffraction measurements on bulk DNA solutions. By comparing the measured ejection fractions with values implied from the bulk DNA solution data, we predict that the bending energy makes the d-spacings inside the capsid larger than those for bulk DNA at the same osmotic pressure.

Direct osmotic stress measurements have been made of forces between helices of xanthan, an industrially important charged polysaccharide. Exponentially decaying hydration forces, much like those already measured between lipid bilayer membranes or DNA double helices, dominate the interactions at close separation. Interactions between uncharged schizophyllans also show the same kind of hydration force seen between xanthans. In addition to the practical possibilities for modifying solution and suspension properties through recognition and control of molecular forces, there is now finally the opportunity for theorists to relate macroscopic properties of a polymer solution to the microscopic properties that underlie them.

Corrigendum: Solid-to-fluid DNA transition inside HSV-1 capsid close to the temperature of infection