Buoyant and potentiometric titrations of synthetic polpeptides. II. Five copolypeptides and two nonionizable homopolypeptides in CsCl solutions.

The buoyant density titrations of five ionizable copolypeptides in concentrated CsCl solutions have been determined. The results are used to formulate models for predicting the buoyant density titration behavior of copolypeptides and proteins using the previously reported homopolypeptide buoyant density titration curves. It was determined for these copolypeptides that the best predictive model must include not only the buoyant densities of the constituent amino acid residues and the relative composition, but also hydration and salt binding. Hydrations determined for the homopolypeptides are used in the copolypeptide predictive model. The hydrations of the neutral homopolypeptides were readily calculable since their buoyant densities are thermodynamically defined in terms of their partial specific volumes and hydrations. For the case of a charged macromolecule, an expression for the buoyant density as a function of the number and nature of the bound ions, its partial specific volume, and its relative hydration has also been available for some time. This heretofore intuitive relationship is now derived from thermodynamic principles and allows calculations of hydrations to charged macromolecules which bind either cations, anions, or both. The potentiometric titrations of three of the five copolypeptides in concentrated CsCl solutions were determined in order to study the effect of residue interaction and solvation effects on their ionization behavior. The potentiometric results are also combined directly with the buoyant density titration results to determine the correlation of the buoyant density with the degree of ionization. As in the cases of poly(Glu) and poly(His), the buoyant density of the copolypeptides changed linearily with the degree of ionization. The buoyant density titrations of two nonionizable homopolypeptides, poly(Gly) and poly(Ala), were determined in concentrated CsCl solutions. The buoyant density was found to increase with increasing pH, despite the fact that side chains do not contain ionizable groups. This is the first evidence from homopolypeptide or copolypeptide data that buoyant density changes can be observed from effects other than side-chain ionizations.     

Sedimentation equilibrium of proteins in density gradients.

The technique of sedimentation equilibrium in density gradients in the analytical ultracentrifuge has been applied to the study of proteins. A variety of effects and procedures including the use of density marker beads, the effects of pressure on buoyant density and pH, and the calculation of compositional density gradient proportionality constants and density--refractive index relations have been developed. The buoyant densities of twenty-four proteins have been measured and hydration values computed. The buoyant titrations of six proteins have been measured. These data have been interpreted in terms of the buoyant titrations which have been obtained for six ionizable homopolypeptides, five copolypeptides, two non-ionizable homopolypeptides and three chemically modified proteins. Spectropolarimetry and potentiometric titrations were employed to further interpret these data. Approximate values for dissociation constants, numbers of ionizable residues, and the nature of ions bound or dissociated upon ionization have been obtained. The relation between potentiometric and buoyant titrations and the use of density gradient centrifugation as a probe for protein structure have been explored.     

Discrete charge calculations of potentiometric titrations for globular proteins: sperm whale myoglobin, hemoglobin alpha chain, cytochrome c.

The modified Tanford-Kirkwood theory of Shire et al. for intramolecular electrostatic interactions has been applied to hydrogen ion equilibria of sperm whale ferrimyoglobin, human hemoglobin α-chain and horse cytochrome c. The model employs two sets of parameters derived from the crystalline protein structures, first, the atomic coordinates of charged amino acid residues and, second, static accessibility factors to reflect their solvent exposure. In addition, a consistent set of intrinsic pK values (pK_int) for the individual groups is employed. The theoretical pK values at half-titration for individual groups in each protein correspond to the available observed pK values, and the theoretical titration curves compare closely with experimental potentiometric curves.     

Buoyant and potentiometric titrations of synthetic polypeptides. I. Six ionizable homopolypeptides in CsCl solutions

The buoyant density and potentiometric titrations of six ionizable homopolypeptides in concentrated CsCI solutions have been studied. These six homopolypeptides were chosen as models of the behavior of ionizable residues in proteins. Their buoyant and potentiometric results will be of value in interpreting the buoyant and potentiometric results observed for proteins. The buoyant densities for all six homopolypeptides were found to increase sigmoidally as the pH is increased. These density changes are interpreted in terms of changes in the hydrations and ion binding which are associated with the titration of the residues. Preferential hydrations for the homopolypeptides are calculated. The buoyant density titrations are combined with the potentiometric titrations to determine the relationship between the buoyant density and the degree of ionization. A better method of computing buoyant densities of proteins is described. The slope of β(ρ) has been computed for CsCl using least-squares curve fitting and this is used in calculating the isoconcentration position. This method has been found to be more accurate than calculating the isoconcentration position from the normalized isoconcentration ratio, which is known only under limited conditions.     

Isolation and characterization of the membrane-bound cytochrome c-554 from the thermophilic green photosynthetic bacterium Chloroflexus aurantiacus

The membrane-bound photooxidizable cytochrome c-554 from Chloroflexus aurantiacus has been purified. The purified protein runs as a single heme staining band on SDS-PAGE with an apparent molecular mass of 43 000 daltons. An extinction coefficient of 28 ± 1 mM^–1 cm^–1 per heme at 554 nm was found for the dithionite-reduced protein. The potentiometric titration of the hemes takes place over an extended range, showing clearly that the protein does not contain a single heme in a well-defined site. The titration can be fit to a Nernst curve with midpoint potentials at 0, +120, +220 and +300 mV vs the standard hydrogen electrode. Pyridine hemochrome analysis combined with a Lowry protein assay and the SDS-PAGE molecular weight indicates that there are a minimum of three, and probably four hemes per peptide. Amino acid analysis shows 5 histidine residues and 29% hydrophobic residues in the protein. This cytochrome appears to be functionally similar to the bound cytochrome from Rhodopseudomonas viridis. Both cytochrome c-554 from C. aurantiacus and the four-heme cytochrome c-558-553 from R. viridis appear to act as direct electron donors to the special bacteriochlorophyll pair of the photosynthetic reaction center. They have a similar content of hydrophobic amino acids, but differ in isoelectric point, thermodynamic characteristics, spectral properties, and in their ability to be photooxidized at low temperature.Abbreviations LDAO lauryl dimethyl amine-N-oxide - SDS-PAGE sodium dodecyl sulfate polyacrylamide gel electrophoresis - mV millivolt - E_m.8 midpoint potential at pH 8.0 - ODV optical density x volume in ml     

Potentiometric titration curves of oxidized and reduced horse heart cytochrome c

Potentiometric titration curves of oxidized and reduced horse heart cytochrome c in 0.15M KCl at 20°C have been obtained by timed titration (0.125–0.500 μmol/sec) from the isoionic points (pH 10.2–10.4) to pH 3 and back to the isoionic point. Computer-assisted (PROPHET) data acquisition and blank corrections give curves with good precision with a maximum standard deviation of 0.3 groups for an average error of 1%. The potentiometric titration curve of reduced cytochrome c is reversible within the precision of the method and for the pH range studied. The potentiometric curves for oxidized cytochrome c titrated upscale (pH 3–10) and downscale (pH 10–3) are not reversible. However, they show the same ionization behavior after the initial downscale titration. This is probably the result of a conformational change. Comparison of the data herein reported with the titration curves of oxidized cytochrome c already published by others indicates good agreement on the basis of a normalization of the concentration of protein or on the basis of 25 titrable groups between the acid end point and the isoionic pH. Titration of the 2 μmol imidazole in the upscale or downscale direction gives the correct analytical concentration and pK′ after correction for the solvent titration. Titration of reduced cytochrome c in the presence and absence of an additional equivalent of imidazole gave a difference titration curve, which indicates that a group on the protein shifts from pK′ 5.8 to pK′ 5.3 in the presence of imidazole. The pK′ of imidazole, in the presence of the protein, remains at a nearly normal value of 7.34.     

Potentiometric titration studies on globular proteins

A power series method was applied to solve the Poisson-Boltzmann equation for the spherical polyelectrolyte model and numerical calculation with an electronic computer was performed to obtain surface electric potential on rigid globular proteins. Deviation from the ideal linear relationship in Linderstrom-Lang's plot was found to become noticeable as the surface charge density and the radius of protein increases and ionic strength decreases. The calculated surface potential was compared with potentiometric titration data of several proteins whose radii have been analyzed. Assuming the radius of the counterions to be equal to about 1.0 Å, the data for phenolic groups in ribonuclease and for carboxyl groups in conalbumin were interpreted. Reversible intramolecular transformation was found for α-lactalbumin by comparing the present results with the potentiometric titration data for carboxyl groups. The molecular size of each protein was discussed.     

Ionization behaviour of native apolipoproteins and of their complexes with lecithin. 2. Potentiometric titration of the native apo-A-II, apoC-I, apoC-III proteins and of their complexes with dimyristoyl lecithin.

A comparison of the ionization behaviour of the human apoA-II, apoC-I, apoC-III proteins and of their complexes with dimyristoyl lecithin is based on potentiometric titration of the basic and acidic residues and spectrophotometric titration of the phenolic groups. Experimental data suggest that a number of lysine, arginine, aspartic acid and glutamic acid residues are masked in the complexes. For each of these amino acids and in all three proteins the number of masked residues is consistent with the content of those regions predicted to be involved in lipid binding by the model of Segrest et al. [FEBS Lett. 38, 247-253 (1974)]. These data taken together with the results of calorimetric and titration experiments with the apoA-I protein reported in the accompanying article [Rosseneu et al. (1977) Eur. J. Biochem. 79, 251-257] strongly support the general nature of the proposed model and further suggest that ionic interactions have some role in the formation of the dimyristoyl lecithin/apolipoprotein complexes.     

On the hydration of DNA. I. Preferential hydration and stability of DNA in concentrated trifluoroacetate solution

The hydration of DNA is an important factor in the stability of its secondary structure. Methods for measuring the hydration of DNA in solution and the results of various techniques are compared and discussed critically. The buoyant density of native and denatured T-7 bacteriophage DNA in potassium trifluoroacetate (KTFA) solution has been measured as a function of temperature between 5 and 50°C. The buoyant density of native DNA increased linearly with temperature, with a dependence of (2.3 ± 0.5) × 10^?4 g/cc-°C. DNA which has been heat denatured and quenched at 0°C in the salt solution shows a similar dependence of buoyant density on temperature at temperatures far below the T_m, and above the T_m. However, there is an inflection region in the buoyant density versus T curve over a wide range of temperatures below the T_m. Optical density versus temperature studies showed that this is due to the. inhibition by KTFA of recovery of secondary structure on quenching. If the partial specific volume is assumed to be the same for native and denatured DNA, the loss of water of hydration on denaturation is calculated to be about 20% in KTFA at a water activity of 0.7 at 25°C. By treating the denaturation of DNA as a phase transition, an equation has immmi derived relating the destabilizing effect of trifluoroacetate to the loss of hydration on denaturation. The hydration of native DNA is abnormally high in the presence of this anion, and the loss of hydration on denaturation is greater than in CsCl. In addition, trifluoroacetate appears to decrease the ΔHof denaturation.     

Electrostatic effects in hemoglobin: hydrogen ion equilibria in human deoxy- and oxyhemoglobin A.

The modified Tanford-Kirkwood theory of Shire et al. [Shire, S. J., Hanania, G.I.H., & Gurd, F.R.N. (1974) Biochemistry 13, 2967] for electrostatic interactions was applied to the hydrogen ion equilibria of human deoxyhemoglobin and oxyhemoglobin. Atomic coordinates for oxyhemoglobin were generated by the application of the appropriate rigid rotation function to alpha and beta chains of the deoxyhemoglobin structure [Fermi, G. (1975) J. Mol. Biol. 97, 237]. The model employs two sets of parameters derived from the crystalline protein structures, the atomic coordinates of charged amino acid residues and static solvent accessibility factors to reflect their individual degrees of exposure to solvent. Theoretical titration curves based on a consistent set of pKint values compared closely with experimental potentiometric curves. Theoretical pK values at half-titration for individual protein sites corresponded to available observed values for both quaternary states. The results bring out the cumulative effects of numerous electrostatic interactions in the tetrameric structures and the major effects of the quaternary transition that result from changes in static solvent accessibility of certain ionizable groups.     

Characterization and determination of titratable groups of proteins by linearization of titration curves. II. Application to lysozyme

The potentiometric acid-base titration curve of fully protonated lysozyme at ionic strengths of 0.10 and 1.0 m has been performed. The stoichiometry and the pK_a values of each titratable group have been determined through the linearization of titration curves. Two types of carboxylic groups with pK_a values of 3.76 and 5.02, the imidazole group with pK_a 7.37 and the amine group with pK_a 9.63, have been identified at an ionic strength of 0.10 m at 25.0°C. The number of titratable groups found per mole of protein has been 5.12 and 5.60 for the two types of carboxylic groups, 1.13 for the imidazole group, and 3.19 for the amino groups. The endpoint of the titration of the protein obtained by this method accords quite well with the endpoint obtained by the use of Gran function applied to the excess of strong base.     

Spectrophotometric,potentiometric, and density gradient ultracentrifugation studies of the binding of silver ion by DNA

The equilibrium and the stoichiometry for the reversible complexing of silver ion by DNA have been studied by potentiometric titrations, proton release pH-stat titrations, and by spectrophotometry. The complexing reactions involve primarily the purine and pyrimidine residues, not the phosphate groups. There are at least three types of binding (types I, II, and III), of which the first two have been intensively studied in this work. The sum of type I and type II binding saturates at one silver atom per two nucleotide residues. In the type I and type II reactions, zero and one proton, respectively, are displaced per silver ion bound. At pH 5.6, the reactions occur stepwise, type I being first, while at pH 8.0, they occur simultaneously. The silver ion binding curve is very sharp at pH 8, indicating a cooperative reaction. The strength of the binding increases with increasing GC content. Type I binding is more important for GC-rich DNA's than for GC-poor ones. Denatured DNA binds more strongly than does native DNA. The silver ion complexing reaction is chemically and biologically reversible. We propose that type II binding essentially involves the conversion of an \documentclass{article}\pagestyle{empty}\begin{document}$ {\rm N} - {\rm H} \cdots {\rm N} $\end{document} hydrogen bond of a complementary base pair to an N—Ag—N bond. The nature of type I binding is less clear, but it may involve a π interaction with stacked bases. The buoyant density (ρ₀) of DNA in a Cs₂SO₄ density gradient increases when the DNA reacts with silver ion. The buoyant density change is about 0.15 g./ml. for 0.5 silver bound per nucleotide. The large buoyant density changes and the selective nature of the complexing reaction make it possible to perform good separations between native and denatured DNA or between GC-rich and GC-poor native DNA's by density gradient centrifugation.     

The buoyant titration of native and carbamylated bovine serum mercaptalbumin.

The buoyant density titration curves of native and carbamylated bovine serum mercaptalbumin were measured throughout the pH range 5.3-12.7. Large increments in the buoyant density were observed above pH 10, with inflection pH values of 11.2 and 11.4 for native and carbamylated bovine serum mercaptalbumin, respectively. For the modified protein in which 25 out of 58 lysine residues were carbamylated, the buoyant densities were 0.048 g/ml higher at neutral pH and 0.024 g/ml higher at the extrapolated pH 13. The carbamyl groups apparently produce a larger residual density at pH 13 than they did in the case of ovalbumin. Homopolymer buoyant density titration data were demonstrated to be of value in calculating the contributions of titratable residues to the buoyant density of both proteins. The buoyant density increment at high pH was due largely to the deprotonation of the lysines as indicated by the diminished change in buoyant density between pH 10 and 12.7 for the modified protein. These density changes were attributable primarily to a gain of cesium ions. The limited modification of the lysine residues under mild reaction conditions and the rather high intrinsic dissociation constant of tyrosine residues in mercaptalbumin may indicate a preferential modification of easily accessible lysine residues. Phenolic deprotonation is facilitated by the neutralization of normally charged lysine residues and demonstrates ionic interactions between internal lysines and certain carboxyl and tyrosine residues thereby stabilizing the native state of the protein.     

Binding of zinc and cadmium to human serum albumin

1. The interaction of zinc and cadmium ion with human serum albumin (HSA) is evaluated and compared by potentiometric titration method and computer simulation of complex equilibria. 2. Zinc binds to histidine and free amino groups, cadmium in addition to basic functional groups of the protein. 3. Whereas zinc binds stronger in 1:1 complexes, chelate binding favours cadmium ions. 4. Within biological pH-conditions, high amounts Zn(II) and even more of Cd(II) will be bound to HSA.     

Phytic acid-metal ion interactions. II. The effect of pH on Ca(II) binding

The interaction of phytic acid with Ca(II) has been studied by potentiometric titration and by measurement of free Ca(II) concentrations using an ion Selective electrode. With increasing Ca(II) concentration, the titration curve of phytic acid is displaced to regions of lower pH. In the binding of calcium ions to phytic acid, there is no evidence that significant binding occurs below approximately pH 5. Above this pH, the extent of binding is dependent upon both pH and the calcium to phytic acid ratios. Maximum binding obtains at a Ca(II):phytate ratio of 6 with 4.8 mol of Ca(II) bound per mol of phytate above pH ca. 8. Binding constants are apparently very large since binding isotherms at any Ca(II):phytate ratio are a linear function of the total calcium ion concentration. In all cases, binding occurs only when one or more phosphate groups have been converted to the oxo dianion form. The apparent pK' values (curve-fit parameters) that describe the potentiometric titration data are in good agreement with the constants evaluated from the binding of Ca(II) to phytate as a function of pH. Using CPK space-filling models, structures containing six metal ions in coordinate linkage to pairs of oxo dianions have been constructed and discussed within the framework of the axial conformation of phytic acid and the order of proton removal with an increase in pH based upon NMR studies.     

The preparation and properties of gonococcal pili.

Pili have been isolated from Neisseria gonorrhoeae by controlled homogenization followed by selective disaggregation in sucrose and purification by CsCl density gradient centrifugation. Pili from six gonococcal strains had buoyant densities of 1-30 to 1-31 g ml-1 on CsCl. The pili were immunologically distinct when tested with rabbit antisera to purified pili. The amino acid composition of pilin from strains P9 and 201 was very similar, consisting of 208 and 212 amino acid residues respectively giving molecular weights of 22 600 and 22352. The pili contained a high proportion (46%) of non-polar amino acids. Further analysis of strain P9 pili revealed the presence of 1 to 2 phosphate groups and 1 to 2 hexose groups per pilin subunit; no amino sugars were detected. Pili from strain P9 were resolved into two bands by equilibrium density gradient centrifugation or column isoelectric focusing, suggesting the presence of more than one kind of pilus.     

Comparison of helix stabilities of poly-L-lysine, poly-L-ornithine, and poly (L-diaminobutyric acid)

The helix–coil transitions of aqueous solutions of poly-α-L -lysine (PLL), poly-α-L -ornithine (PLO), and poly(α,γ-L -diaminobutyric acid) (PLDBA) have been investigated as functions of pH at 25°C and of temperature at pH 11.75, where these polymers are uncharged; in the cases of the latter two polyamino acids, the transitions have also been studied as functions of apparent pH in methanol-water solution (50/50 by volume). The helix stability of the polypeptides is shown to be a direct function of the number of methylene groups on the side chain. From an analysis of potentiometric titration data, we find that the difference between the helix stability of PLL and that of PLO is due to a difference of about 1 e.u. in the ΔS° of the transition. Combining the “melting curves” obtained from optical rotatory dispersion studies with the potentiometric titration data permits evaluation of the initiation parameter Z (or 1/σ^½) of the statistical mechanical theories for these transitions. The value obtained for Z in the case of uncharged aqueous PLO is ca. 35.     

Monte Carlo studies on potentiometric titration of poly(glutamic acid)

The potentiometric titration of poly(glutamic acid) with special attention to its helix-coil transition is investigated in terms of the previously developed Monte Carlo method. The simulations of the potentiometric titration are carried out for helical and coiled form of the peptide, separately. A cylindrical rod with spherical ionizable groups is adopted as each conformational model of poly(glutamic acid) molecule. A spherical charge with a hard core potential is assumed as a mobile hydrated ion. The helix-coil transition curves are analyzed by the Zimm-Bragg theory. A satisfactory agreement is achieved for the titration curves with the experimental data in most cases. The significance and the limitations of the simulation method are discussed.     

Proton equilibria in the minor groove of DNA.

Poisson-Boltzmann calculations by Pack and co-workers suggest the presence of regions of increased hydrogen ion density in the grooves of DNA. As an experimental test of this prediction, we have attached proton-sensitive probes, with variable linker lengths, to random-sequence DNA at G sites in the minor groove. The amino groups of beta-alanine, gamma-aminobutyric acid (GABA), and epsilon-aminocaproic acid have been coupled at pH 5, via a formaldehyde link, to the exocyclic amino group of guanine, utilizing a reaction that has been extensively investigated by Hanlon and co-workers. The resulting adducts at pH 5 retained duplex B form but exhibited typical circular dichroism (CD) changes previously shown to be correlated with the presence of a net positive charge in the minor groove. Increases in the solvent pH reversed the CD spectral changes in a manner suggesting deprotonation of the carboxylic acid group of the adduct. These data were used to calculate an apparent pK(a) for the COOH. The pK(a) was increased by 2.4 units for beta-alanine, by 1.7 units for GABA, and by 1.5 units for epsilon-amino caproic acid, relative to their values in the free amino acid. This agrees well with Poisson-Boltzmann calculations and the energy minimization of the structures of the adducts that place the carboxyl groups in acidic domains whose hydrogen ion density is approximately 2 orders of magnitude greater than that of bulk solvent.     

Calorimetric determination of the enthalpy of ionization of oxidized and reduced horse heart cytochrome c

The heats of ionization of protons, ΔH_i, of oxidized and reduced horse heart cytochrome c in 0.15M KCl at 20°C were determined using a titration calorimeter which simultaneously afforded the potentiometric titration curve. Reproducibility of the thermal titrations is within 2%, and evaluation of the heats observed after the heat loss corrections is estimated to be within 5%. A single titration of oxidized cytochrome c from pH 11 to 3 is in excellent agreement with the thermal titration of this protein obtained with flow calorimetry. The thermal titration, however, is not reversible, due in part to the loss of titratable group(s) in this pH region and to the heat contribution of the acid and alkaline conformational changes which occur. Although of lesser magnitude, the reduced form also indicates similar thermal transitions. These differences are due solely to conformational contributions to the thermal process, since the potentiometric curves are reversible. The nature of the irreversibility for oxidized cytochrome c appears to involve the loss of a group with pK′ 8.9 and the shift of two groups from pK′ 5.6 to 4.8. Thermal difference curves for this process indicate that heats of ?7.8 and ?24.1 kcal/mol are liberated which are centered at pH 9.3 and 3.9, respectively.