Donald C. Rau

[3] Macromolecules and water: Probing with osmotic stress

Publisher Summary This chapter presents specific examples to describe procedures and use osmotic stress with maximum ease and efficiency. These examples are systems where intentionally varied water activity has revealed a connection between different functional states of proteins or other large molecules with different amounts of water associated with them. The method––osmotic stress on macromolecules–– is applied to four kinds of processes, which are (1) ionic channel opening/closing, (2) enzyme/ substrate association and turnover, (3) molecular binding, and (4) longrange interaction. Through these examples, a thermodynamic relations is developed that is useful in the interpretation of osmotic stress data. Osmotic stress experiments, in explicitly recognizing the importance of water activity, are designed to buffer it so that it is as well defined as other more familiar solution variables. Osmotic stress measurements have revealed a surprisingly large influence of water activity on macromolecular reactions and conformational transitions. It even appears that small solutes, typically thought to affect macromolecules only through direct binding, show an indirect effect through their influence on water activity.

Higher order structure of chromatin: Orientation of nucleosomes within the 30 nm chromatin solenoid is independent of species and spacer length

We have used electric dichroism to study the arrangement of nucleosomes in 30 nm chromatin solenoidal fibers prepared from a variety of sources (CHO cells, HeLa cells, rat liver, chicken erythrocytes, and sea urchin sperm) in which the nucleosome spacer length varies from approximately 10 to approximately 80 bp. Field-free relaxation times are consistent only with structures containing 6 +/- 1 nucleosomes for every 11 nm of solenoidal length. With very few assumptions about the arrangement of the spacer DNA, our dichroism data are consistent with the same orientation of the chromatosomes for every chromatin sample examined. This orientation, which maintains the faces of the radially arranged chromatosomes inclined at an angle between 20 degrees-33 degrees to the solenoid axis, thus appears to be a general structural feature of the higher order chromatin fiber.

Direct measurement of temperature-dependent solvation forces between DNA double helices

The assembly of double stranded DNA helices with divalent manganese ion is favored by increasing temperature. Direct force measurements, obtained from the osmotic stress technique coupled with x-ray diffraction, show that the force characteristics of spontaneously precipitated Mn(2+)-DNA closely resemble those observed previously by us for other counterion condensed DNA assemblies. At temperatures below the critical one for spontaneous assembly, we have quantitated the changes in entropy and manganese ion binding associated with the transition from repulsive to attractive interactions between helices mediated by osmotic stress. The release of structured water surrounding the DNA helix to the bulk solution is the most probable source of increased entropy after assembly. Increasing the water entropy of the bulk solution by changing the manganese salt anion from CI- to ClO4- predictably and quantitatively increases the transition entropy. This is further evidence for the dominating role of water in the close interaction of polar surfaces.

DNA-DNA interactions

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.

Attractive forces between cation condensed DNA double helices.

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.

Molecular Mechanism for the Preferential Exclusion of TMAO from protein surfaces

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.

Interplay of ion binding and attraction in DNA condensed by multivalent cations

We have measured forces generated by multivalent cation-induced DNA condensation using single-molecule 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 spermidine3+/Na+ phase diagram measured previously.

Polarization of the ion atmosphere of a charged cylinder.

The dipole moment is calculated for an electric-field-induced polarization of a Debye-Hückel ion atmosphere surrounding a charged rod. If L is the length of a thin rod. Q is its linear charge density, Z is charge of the salt ion in solution, and k is the Debye-Hückel shielding parameter, then for KL less, similar 10, the calculated polarizability is proportional to Z(2)Q(2)L(1.8)/K(1.2). Comparison with experimental data for DNA shows that the ion atmosphere dipole is of the correct magnitude and is consistent with observed variations with Z, Q, L and k.

Divalent counterion-induced condensation of triple-strand DNA.

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 (Mg2+, Ba2+, and Ca2+) 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.

A comparison of DNA compaction by arginine and lysine peptides: a physical basis for arginine rich protamines.

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.