Standard thermodynamic formation properties for the adenosine 5'-triphosphate series.

The criterion for chemical equilibrium at specified temperature, pressure, pH, concentration of free magnesium ion, and ionic strength is the transformed Gibbs energy, which can be calculated from the Gibbs energy. The apparent equilibrium constant (written in terms of the total concentrations of reactants like adenosine 5'-triphosphate, rather than in terms of species) yields the standard transformed Gibbs energy of reaction, and the effect of temperature on the apparent equilibrium constant at specified pressure, pH, concentration of free magnesium ion, and ionic strength yields the standard transformed enthalpy of reaction. From the apparent equilibrium constants and standard transformed enthalpies of reaction that have been measured in the adenosine 5'-triphosphate series and the dissociation constants of the weak acids and magnesium complexes involved, it is possible to calculate standard Gibbs energies of formation and standard enthalpies of formation of the species involved at zero ionic strength. This requires the convention that the standard Gibbs energy of formation and standard enthalpy of formation for adenosine in dilute aqueous solutions be set equal to zero. On the basis of this convention, standard transformed Gibbs energies of formation and standard transformed enthalpies of formation of adenosine 5'-trisphosphate, adenosine 5'-diphosphate, adenosine 5'-monophosphate, and adenosine at 298.15 K, 1 bar, pH = 7, a concentration of free magnesium ions of 10(-3) M, and an ionic strength of 0.25 M have been calculated.     

The effects of ionic strength on the self-association of human spectrin.

The self-association of human spectrin has been studied by means of sedimentation equilibrium in the analytical ultracentrifuge at pH 7.5 and over a range of ionic strength from 0.009 to 1.0 M. Increasing ionic strength above 0.1 M reduces the equilibrium constants for all of the measurable steps in the self-association reaction. These results support the concept of charge-charge interactions stabilizing the tetramer and higher oligomers with respect to the heterodimer. In addition, increasing ionic strength brought about a dissociation of the heterodimer to component polypeptide chains. Dissociation to the heterodimers is also enhanced with a decrease in ionic strength below 0.05 M. This low ionic strength-dependent dissociation is consistent with generalised electrostatic repulsion; however, this effect also correlates with some loss of alpha-helical content as revealed by circular dichroism. The secondary, tertiary and quaternary structures may all be partially disrupted by electrostatic free energy at low ionic strength.     

pH-dependent self-association of influenza hemagglutinin fusion peptides in lipid bilayers

We have recently designed a host-guest peptide system that allows us to quantitatively measure the energetics of interaction of viral fusion peptides with lipid bilayers. Here, we show that fusion peptides of influenza hemagglutinin reversibly associate with one another at membrane surfaces above critical surface concentrations, which range from one to five peptides per 1000 lipids in the systems that we investigated. It is further demonstrated by using circular dichroism and Fourier transform infrared spectroscopy that monomeric peptides insert into the bilayers in a predominantly alpha-helical conformation, whereas self-associated fusion peptides adopt predominantly antiparallel beta-sheet structures at the membrane surface. The two forms are readily interconvertible and the equilibrium between them is determined by the pH and ionic strength of the surrounding solution. Lowering the pH favors the monomeric alpha-helical conformation, whereas increasing the ionic strength shifts the equilibrium towards the membrane-associated beta-aggregates. The binding data are interpreted in terms of a cooperative binding model that yields free energies of insertion and free energies of self-association for each of the peptides studied at pH 7.4 and pH 5. At pH 5 and 35 mM ionic strength, the insertion energy of the 20 residue influenza hemagglutinin fusion peptide is -7.2 kcal/mol and the self-association energy is -1.9 kcal/mol. We propose that self-association of fusion peptides could be a major driving force for recruiting a small number of hemagglutinin trimers into a fusion site.     

Force Balances in Systems of Cylindrical Polyelectrolytes

A detailed analysis is made of the model system of two parallel cylindrical polyelectrolytes which contain ionizable groups on their surfaces and are immersed in an ionic bathing medium. The interaction between the cylinders is examined by considering the interplay between repulsive electrostatic forces and attractive forces of electrodynamic origin. The repulsive force arises from the screened coulomb interaction between the surface charge distributions on the cylinders and has been treated by developing a solution to the linearized Poisson-Boltzmann equation. The boundary condition at the cylinder surfaces is determined as a self-consistent functional of the potential, with the input consisting of the density of ionizable groups and their dissociation constants. It is suggested that a reasonably accurate representation for the form of the attractive force can be obtained by performing a pairwise summation of the individual interatomic forces. A quantitative estimate is obtained using a Hamaker constant chosen on the basis of rigorous calculations on simpler systems. It is found that a balance exists between these repulsive and attractive forces at separations in good agreement with those observed in arrays of tobacco mosaic virus and in the A band myosin lattice in striated muscle. The behavior of the balance point as a function of the pH and ionic strength of the bathing medium closely parallels that seen experimentally.     

Gel filtration studies on oxyhemerythrin. II. Effect of temperature and ionic strength on the association-dissociation equilibria.

The effects of temperature and ionic strength on the association of oxyhemerythrin have been studied. deltaH degrees and deltaS degrees for association at pH 7.0 are -2.6 kcal and +16.5 eu per mol of monomer. These values suggest that solvent adjacent to the surface of the protein undergoes rearrangement on association. Increasing ionic strength is observed to promote dissociation while decreasing the rate of attainment of equilibrium between monomers and octamers. Qualitatively similar results are observed on lowering the pH from 7.0 to 4.8, thereby linking the effects of increasing ionic strength to those of protonation of specific amino acid residues at the subunit contacts of hemerythrin. The apparent enthalpy of ionization of the amino acid residue controlling dissociation at acidic pH was found to be -1.9 to +2.1 kcal/mol. These values are consistent with a carboxyl group.     

Boron adsorption by maize cell walls

Boron adsorption by cell walls isolated from corn (Zea mays) roots was investigated as a function of solution pH and ionic strength. Adsorption increased with increasing solution pH from pH 4.5 to 10, exhibited an adsorption maximum at pH 10–10.5, and decreased with increases in pH above 10.5. Boron adsorption increased with increasing solution ionic strength indicating the formation of strong inner-sphere surface complexes. A surface complexation model, the constant capacitance model was well able to describe the B adsorption data, optimizing two B surface complexes and the dissociation constant for the surface functional group, XOH. The large absolute value of the dissociation constant is consistent with phenolic functional groups.     

Proton-induced phase separation in phosphatidylserine/phosphatidylcholine membranes

Effects of ph and ionic strength on phosphatidylserine/phosphatidylcholine mixed membranes prepared on Millipore filter pore surfaces have been studied using spin-labeled phosphatidylcholine. Lowering pH at constant ionic strength and lowering ionic strength at constant pH caused a lateral reorganization of the membrane. The trigger was protonation of the serine carboxyl group which caused solidification of phosphatidylserine molecules in the membrane, leaving a fluid phase consisting mainly of phosphatidylcholine. The appearent pK for the proton-induced phase separation was measured in a wide range of salt concentrations. The ionic strength dependence was satisfactorily explained based on the electrostatic free energy of proton in the field of membrane surface potential. The Gouy-Chapman theory gave a good approximation for the surface potential. The surface pK of phosphatidylserine and phosphatidic acid vesicles was directly measured in various salt concentrations by 31P-NMR and the results confirmed validity of the Gouy-Chapman-type analysis. The lateral reorganization was triggered by electrostatic interaction but the bulk of the stabilization energy for the structural changes would be the gains in intermolecular van der Waals energy due to closer packing of phosphatidylserine on solidification.     

Studies on the binding of FMN by apoflavodoxin from Peptostreptococcus elsdenii, pH and NaCl concentration dependence.

1. The pH and ionic strength dependence of the interaction of FMN with apoflavodoxin has been studied by fluorometry in the pH region 2-5, at 22 degrees C. 2. The rate constant of dissociation and the dissociation constant were experimentally determined; the rate constants of association were claculated at a given pH value. These constants depend on the ionic strength. The plots of these constants against the square root of the ionic strength are straight. 3. Our data have been interpreted in terms of the Br?nsted theory, which relates chemical reaction rates to ionic strength. The data indicate that the apoenzyme reaches its maximum net positive charge at pH 2.0-2.6. The calculated net charge in this pH region is between 11 and 12 and is in agreement with the theoretical value of 12 as deduced from the primary structure of the protein. The isoelectric point of the holoenzyme is about 4. 4. The rate constant of association extrapolated to zero ionic strength is 3.2-10(5)M-1-s-1 and is pH-independent. 5. The rate constant of dissociation and the dissociation constant extrapolated to zero ionic strength depend on the pH. The results are explained by assuming that there are two protein ionizations with a pK value of 3.4; these ionizing groups are possibly close to the FMN binding site.     

荧光能量转移和偏振研究小牛胸腺DNA与组蛋白在高低离子盐溶液中的离合

本文研究小牛胸腺DNA和组蛋白在体外低、高离子强度盐溶液中的动态缔合与解离。 实验结果是低离子溶液中荧光给体DANsyl-Cl-组蛋白在发射峰位上荧光强度降低,荧光受体吖啶橙-DNA在发射峰位上的荧光强度增高。此两峰位上荧光受体的荧光增量比值是2.7/1(大于1),有能量转移发生,DNA和组蛋白缔合。高离子溶液中两峰位上受体的荧光增量比值降到1.6/1,能量转移减少,DNA和组蛋白解离。 低离子溶液中所得的吖啶橙-DNA的荧光偏振度P值小而高离子溶液中的P值大。说明解离的DNA硷基排列比缔合的DNA硷基排列有序程度强,进一步证明低离子溶液中DNA和组蛋白是缔合的,而高离子溶液中它们是解离的。     

A quantitative description of in vitro assembly of human papillomavirus 16 virus-like particles

The full-length human papillomavirus 16 major capsid protein L1 is expressed in Saccharomyces cerevisiae as virus-like particles (VLPs). However, yeast-expressed human papillomavirus 16 particles are irregular in shape and are prone to aggregate. When disassembled and reassembled, the resulting particles have improved stability and solubility. We have examined VLP dissociation and reassembly to define the important features of the assembly mechanism. We found that the VLPs rapidly disassemble at pH 8.2 and low ionic strength in the presence of low concentrations of reducing agents. The pH dependence of assembly kinetics and extent of assembly under reducing conditions were differentially sensitive to ionic strength. Assembly at pH 5.2 was very fast and led to heavily aggregated particles. This sort of kinetic trap is expected for overinitiated assembly. We observed that reassembly at pH 6.2, 7.2, and 8.2 yielded regular particles over a broad range of ionic strength. At these three pH values, assembly was quantitative at 1 M NaCl. At pH 7.2, much more than at pH 6.2 or pH 8.2, assembly decreased monotonically with ionic strength. The free energy of association ranged from − 8 to − 10 kcal/mol per pentamer. The effect of pH on assembly was further investigated by examining dissociation of reassembled particles. Though indistinguishable by negative stain electron microscopy, particles assembled at pH 7.2 disassembled slower than pH 5.2, 6.2, or 8.2 VLPs. We hypothesize that pH 7.2 assembly reactions lead to formation of particles with conformationally different interactions.     

A model for calculating the Bohr effect in hemoglobin equilibria.

The unusual aspects of the reaction of oxygen with hemoglobin are believed to be due to the free energy of the conformational change in the hemoglobin molecule upon oxygenation. The conformational free energy change due to oxygenation can be estimated in terms of the surface free energy of an emuslion droplet of the same size as the hemoglobin molecule. Calculations on the basis of this model lead to an equilibrium constant that varies with pH as in the acid and alkaline Bohr Effects, and that also varies with the ionic strength. The model used in this paper provides a simple way of estimating the variation of the equilibrium constant of a reaction involving a globular protein where the free energy of conformational changes can be evaluated in terms of surface properties.     

Differential scanning calorimetry of thermal unfolding of the methionine repressor protein (MetJ) from Escherichia coli.

The thermal stability of the methionine repressor protein from Escherichia coli (MetJ) has been examined over a wide range of pH (pH 3.5-10) and ionic strength conditions using differential scanning calorimetry. Under reducing conditions, the transitions are fully reversible, and thermograms are characteristic of the cooperative unfolding of a globular protein with a molecular weight corresponding to the MetJ dimer, indicating that no dissociation of this dimeric protein occurs before unfolding of the polypeptide chains under most conditions. In the absence of reducing agent, repeated scans in the calorimeter show only partial reversibility, though the thermodynamic parameters derived from the first scans are comparable to those obtained under fully reversible conditions. The protein is maximally stable (Tm 58.5 degrees C) at about pH 6, close to the estimated isoelectric point, and stability is enhanced by increasing ionic strength in the range I = 0.01-0.4 M. The average calorimetric transition enthalpy (delta Hm) for the dimer is 505 +/- 28 kJ mol-1 under physiological conditions (pH 7, I = 0.125, Tm = 53.2 degrees C) and shows a small temperature dependence which is consistent with an apparent denaturational heat capacity change (delta Cp) of about +8.9 kJ K-1 mol-1. The effects of both pH and ionic strength on the transition temperature and free energy of MetJ unfolding are inconsistent with any single amino acid contribution and are more likely the result of more general electrostatic interactions, possibly including significant contributions from electrostatic repulsion between the like-charged monomers which can be modeled by a Debye-Hückel screened potential.     

Membrane interactions in nerve myelin. I. Determination of surface charge from effects of pH and ionic strength on period.

We have used x-ray diffraction to study the interactions between myelin membranes in the sciatic nerve (PNS) and optic nerve (CNS) as a function of pH (2-10) and ionic strength (0-0.18). The period of myelin was found to change in a systematic manner with pH and ionic strength. PNS periods ranged from 165 to 250 A or more, while CNS periods ranged from 150 to 230 A. The native periods were observed only near physiological ionic strength at neutral or alkaline pH. The smallest periods were observed in the pH range 2.5-4 for PNS myelin and pH 2.5-5 for CNS myelin. The minimum period was also observed for PNS myelin after prolonged incubation in distilled water. At pH 4, within these acidic pH ranges, myelin period increased slightly with ionic strength; however, above these ranges, the period increased with pH and decreased with ionic strength. Electron density profiles calculated at different pH and ionic strength showed that the major structural alteration underlying the changes in period was in the width of the aqueous space at the extracellular apposition of membranes; the width of the cytoplasmic space was virtually constant. Assuming that the equilibrium myelin periods are determined by a balance of nonspecific forces/i.e., the electrostatic repulsion force and the van der Walls attractive force, as well as the short-range repulsion force (hydration force, or steric stabilization), then values in the period-dependency curve can be used to define the isoelectric pH and exclusion length of the membrane. The exclusion length, which is related to the minimum period at isoelectric pH, was used to calculate the electrostatic repulsion force given the other forces. The electrostatic repulsion was then used to calculate the surface potential, which in turn was used to calculate the surface charge density (at different pH and ionic strength). We found the negative surface charge increases with pH at constant ionic strength and with ionic strength at constant pH. We suggest that the former is due to deprotonation of the ionizable groups on the surface while the latter is due to ion binding. Interpretation of our data in terms of the chemical composition of myelin is given in the accompanying paper (Inouye and Kirschner, 1988). We also calculated the total potential energy functions for the different equilibrium periods and found that the energy minima became shallower and broader with increasing membrane separation. Finally, it was difficult to account directly for certain structural transitions from a balance of nonspecific forces.(ABSTRACT TRUNCATED AT 400 WORDS)     

Golgi β-glucuronidase of androgen-stimulated mouse kidney

The equilibrium constant of the phosphoglyceromutase reaction was determined over a range of pH (5.4-7.9), in solutions of different ionic strength (0.06-0.3) and in the presence of Mg(2+), at 30 degrees C and at 20 degrees C. The values obtained (8.65-11.65) differ substantially from previously published values. The third acid dissociation constants were redetermined for 2- and 3-phosphoglycerate, and in contrast with previous reports the pK values (7.03 and 6.97 respectively at zero ionic strength) were closely similar. The Mg(2+)-binding constants were measured spectrophotometrically and the values, 286mm(-1) and 255mm(-1) for 2- and 3-phosphoglycerate at pH7 and ionic strength 0.02, were also very similar. From the relative lack of effect of temperature, pH and ionic strength it is concluded that the equilibrium constant differs from unity largely because of entropic factors. At low ionic strength, in the neutral region, the pH-dependence can be attributed to the small difference in the acid dissociation constants, but the difference in dissociation constants does not explain the pH-dependence in the acid region or at high ionic strength. Within physiological ranges of pH, Mg(2+) concentration and ionic strength there will be little variation in equilibrium constant.     

Protonated polynucleotide structures. 16. Thermodynamics of the melting of the acid form of polycytidylic acid

A phase diagram (pH, ionic strength, temperature) for the double helical form of poly(C) is presented. The thermo-dynamic analysis of these data shows that poly(C) behaves essentially as cytidine, if the electrostatic (ionic strength) contributions and the free energy of double helix formation are considered and taken into account.     

Effects of pH and ionic strength on the binding of egg white riboflavin binding protein with flavins

The effects of pH and ionic strength on the equilibrium constants and rate constants (binding and dissociation rate constants) between riboflavin binding protein (RBP) and flavins (riboflavin, 3-carboxymethylriboflavin [CMRF], and FMN) were studied by fluorometry. The equilibrium constant and the binding rate constant between RBP and riboflavin were pH-independent between pH 6 and 9, and both constants were also independent of the ionic strength, while the constants between RBP and CMRF or FMN were dependent on both pH and ionic strength. The dissociation rate constants between RBP and the flavins used here were not so dependent on pH and ionic strength in the pH region 6 to 9, and the patterns of pH profiles as a whole were similar to each other, although the constants for FMN were about 30-60 times larger than those for CMRF or riboflavin. RBP had lower affinity for FMN than for riboflavin in the neutral pH region, which is based on the small binding rate constant and the large dissociation rate constant for FMN. The former is due to an electrostatic repulsion force between negative net charges of RBP and the phosphate group of FMN, and the latter is due to steric interference by the phosphate group of FMN.     

Binding of reduced and oxidized nicotinamide adenine dinucleotide to pig heart supernatant malate dehydrogenase.

The association reactions of NADH and NAD+ with dimeric pig heart supernatant malate dehydrogenase (s-MDH) have been measured at pH 6 and 8 by calorimetric and fluorescence methods, and the thermodynamic parameters describing these reactions have been evaluated. Coenzyme binding is associated with the uptake of 0.55 mol of H+/mol of NADH at pH 8 and 0.19 mol of H+ at pH 6. No significant effect of NAD+ binding on proton binding was observed. Increase in ionic strength strongly affects the free energies of binding of NAD+ and NADH. No cooperativity was observed in the enthalpy or free energy changes for binding of NAD+ or NADH. The differences in free energy of binding of NAD+ and NADH and the effect of pH on binding of NADH are entropy based. These effects are interpreted as reflecting a small number of interactions within the active site that are predominantly ionic.     

Kinetic studies of the interaction between MS2 phage and F pilus of Escherichia coli.

The kinetics of the binding reaction of MS2 phage to free F pili, which were highly purified from Escherichia coli, has been studied using a membrane filter assay. The rate of dissociation (kd) of the MS2-phage--F-pilus complex is very slow and follows first-order kinetics with a half-life of 4.2 h at 30 degrees C in the standard buffer. The dissociation rate is rather insensitive to temperature, but becomes more rapid at high ionic strength or at basic pH. In a 0.25 M ionic strength buffer, the half-life of the complex is about 1.0 min. The rate of association is very fast and follows second-order kinetics with the rate constant for association (ka) being 8 x 10(7) M-1 s-1 at 30 degrees C in the standard buffer. The rate of association is almost insensitive to ionic strength but slightly sensitive to pH or temperature. Monovalent cations can also promote the binding reaction as well as divalent cations but the complex formed with monovalent cation is unstable. A study of the kinetics of dissociation suggests that there are two types of interaction between MS2 phage and F pilus; one is a strong interaction formed with divalent cations and the other is a weak one formed with monovalent cations. The physical nature of the bonds involved in the former and the latter seems to be mainly electrostatic and non-electrostatic respectively. The mechanism of the binding reaction is discussed.     

Protein adsorption at solid-liquid interfaces: Part IV--Effects of different solid-liquid systems and various neutral salts.

Adsorption isotherms of BSA at the solid-water interfaces have been studied as a function of protein concentration, ionic strength of the medium, pH and temperature using silica, barium sulphate, carbon, alumina, chromium, ion-exchange resins and sephadex as solid interfaces. In most cases, isotherms for adsorption of BSA attained the state of adsorption saturation. In the presence of barium sulphate, carbon and alumina, two types in the isotherms are observed. Adsorption of BSA is affected by change in pH, ionic strength and temperature of the medium. In the presence of metallic chromium, adsorbed BSA molecules are either denatured or negatively adsorbed at the metallic interface. Due to the presence of pores in ion-exchange resins, adsorption of BSA is followed by preferential hydration on resin surfaces in some cases. Sometimes two steps of isotherms are also observed during adsorption of BSA on the solid resins in chloride form. Adsorption of BSA, beta-lactoglobulin, gelatin, myosin and lysozyme is negative on Sephadex surface due to the excess adsorption of water by Sephadex. The negative adsorption is significantly affected in the presence of CaCl2, KSCN, LiCl, Na2SO4, NaI, KCl and urea. The values of absolute amounts of water and protein, simultaneously adsorbed on the surface of different solids, have been evaluated in some cases on critical thermodynamic analysis. The standard free energies (delta G0) of excess positive and negative adsorption of the protein per square meter at the state of monolayer saturation have been calculated using proposed universal scale of thermodynamics. The free energy of adsorption with reference to this state is shown to be strictly comparable to each other. The magnitude of standard free energy of transfer (delta G0B) of one mole of protein or a protein mixture at any type of physiochemical condition and at any type of surface is observed to be 38.5 kJ/mole.