Phase separation in the beta-coil transition of poly-S-carboxyethyl-L-cysteine

The visible phase separation encountered in aqeuous system involving the β-coil transition is investigated on poly-S-carboxyethyl-L -cysteine at a constant ionic strength of 0.2 molal. Solubility of the polymer decreases as the average charge density or pH is decreased, indicating that short-range interactions favor the phase separation. The titration curve of the gel phase (i.e., of the pure β-structure) is obtained by using the solubility data. Circular dichroism of the solution phase in equilibrium with the gel shows that the β-structure is present in the solution phase. To isolate the two phases, centrifugal force is applied and it is demonstrated that the polymers in the two phases are in true equilibrium with each other. The effect of total concentration on the solubility of polymer and the degree of neutralization in each phase is interpreted in terms of the poly-dispersity of the sample.     

Potentiometric titrations involving the beta-coil transition.

Potentiometric titrations of poly(S-carboxymethyl-L -cysteine) and poly(S-carboxy-ethyl-L -cysteine) were carried out in aqueous sodium chloride solutions and in water. For samples of both polymers of high molecular weight, a new pattern was observed concerning the change of titration curve with time; the β-coil transition became sharper and the transition free energy increased by about 100 cal mole^?1 as the equilibrium was approached. This suggests that equilibrium data were not obtained in most previous studies on the titration involving the β-coil transition. It also shows that the reversbility is not necessarily sufficient to confirm the equilibrium. Another pattern, which was previously observed, was also confirmed with a low molecular weight sample of poly(S-carboxymethytl-L -cysteine). The titration curves were shown to be insensitive to polymer concentration, even when aggregation or phase separation was present. The validity of the Gouy model to describe the titration curve of the β-structure was found to depend on molecular weight as well as on the nature of the side chain.     

Molecular conformation of poly-S-carboxymethyl-L-cysteine in aqueous solutions

Poly-S-carboxymethyl-L -cysteine has been prepared by debenzylation of poly-S-carbobenzoxymethyl-L -cysteine with hydrogen bromide in acetic acid. By the infrared spectroscopic method the polymer is found to be in the extended β-conformation with an antiparallel arrangement of polypeptide chains in solid film, if it has been regenerated from dimethyl sulfoxide solution. Aqueous solutions of the polymer have been investigated by measurements of optical rotatory dispersion and viscosity. Various properties sharply change around pH 5 at different ionic strengths. By combining these with infrared studies in D₂O solutions, it has been shown that the polymer exists in the random coil conformation at higher ionization but associates into the intermolecular β-conformation at lower ionization. At the lowest pH attainable in solution, the β-form is partly converted into the random coil as the temperature is raised. The rotatory dispersion of the polymer is described by the Moffitt equation. While the random coil form has a large negative a₀ value and a zero b₀ value, the β-form is characterized by a positive a₀ value and a negative b₀ value, ?130°.     

Conformation of poly-S-carboxyethyl-L-cysteine in aqueous solutions

Poly-S-carboxyethyl-L -cysteine, a higher side-chain homolog of poly-S-carboxymethyl-L -cysteine, has been prepared from poly-S-carbobenzoxyethyl-L -cysteine with hydrogen bromide in chloroform or acetic acid. The polymer is found to be in the β-conformation of an antiparallel arrangement of polypeptide chains in solid films, both in acid and salt forms, when examined by infrared spectra. Aqueous solutions of t he polymer have been investigated by measurements of rotatory dispersion and circular dichroism as well as by infrared spectra in D₂O. These properties show sharp changes around pH 5.5, as the pH of solution is varied. At higher ionization the polymer is randomly coiled, but at lower ionization it is in the β-conformation. Dependence of the rotatory properties upon polymer concentration as well as on ionic strength has been observed even at the lowest degree of ionization attained, and this has been attributed to the formation of intermolecular β-conformation in solutions. The β-structure is characterized by a negative circular dichroic band at 223 mμ and a positive dichroic band at a wavelength lower than 200 mμ, and furt her by a negative b_o value, ?140°. The pH-induced coil-β transition of the polymer is compared with that of poly-S-carboxymethl-L -cysteine.     

Isodichroic point and the β–random coil transition of poly(S-carboxymethyl-L-cysteine) and poly(S-carboxyethyl-L-cysteine) in the absence of added salt

The β-coil transition of poly(S-carboxymethyl-L -cysteine) (poly[Cys(CH₂CO₂H)]) and poly(S-carboxyethyl-L -cysteine) (poly[Cys((CH₂)₂CO₂H)]) was followed by CD, potentiometric titration, and viscosity in the absence of added salt. These different properties give consistent results for poly[Cys((CH₂)₂CO₂H)]. The CD spectra of poly[Cys(CH₂CO₂H)] change considerably with the degree of neutralization α even for a low-molecular-weight sample incapable of forming the β-structure. Because of the superposition of this additional effect, the dependence of CD on α is inconsistent with titration data for the case of poly[Cys(CH₂CO₂H)], particularly when the nπ transition is used to follow the β-coil transition. The change of CD inherent to the β-coil transition is characterized by an isodichroic point: 215 nm for poly[Cys((CH₂)₂CO₂H)] and 218 nm for poly[Cys(CH₂CO₂H)]. A criterion supporting the stacking of the pleated sheet is suggested based on the isodichroic point.     

Potentiometric titration of poly-S-carboxymethyl-L-cysteine in aqueous NaCl solution

pH titration measurements of poly- S-carboxymethyl-L -cysteine were undertaken in the aqueous Nacl solution in relation to the β form–random coil transition. The titration curves show a marked molecular weight dependence because of the shortened chain length of materials. Comparison of the optical rotatory dispersion parameter a₀ with the titration curve reveals that the titration curve apparently reflects a β structure–random coil transition. The β form of this polymer is assumed to be an intramolecular β form, rather than a β structure stabilized by an intermolecular hydrogen bond, at least in the polymer concentration range considered here. The standard free energy change per amino acid residue for the transition from un-ionized random coil to un-ionized β form is estimated to be about ?750 cal/mole residue in the range of 0.005–0.2M NaCl concentration.     

Application of the pH-jump method to the titration of tyrosine residues in bovine alpha-lactalbumin.

A stopped-flow technique has been developed for the zero-time spectrophotometric titration of tyrosine residues in the purely native or in the purely alkaline denatured state of alpha-lactalbumin that undergoes an alkaline conformational transition in the pH region of tyrosine ionization. The progressive absorption change at 298 nm caused by a pH jump from neutral pH is shown to result from the change in ionization of the tyrosine residues brought about by a first-order process of the conformational transition. Extrapolation to zero time gives the titration curve for purely native alpha-lactalbumin. Similarly, the pH jump from highly alkaline pH gives the titration curve for the purely alkaline denatured protein. The method should be generally applicable to other proteins that contain tyrosines. Analysis of the titration curves suggests that the four tyrosines in native alpha-lactalbumin have pK values of 10.5, 11.8, 11.8, and 12.7, respectively. After the alkaline transconformation, all of them become titrated normally with a pK value of 10.3. A comparison of these results with the ionization behavior of tyrosines in hen egg white and human lysozymes is presented and discussed in terms of differences in the sequences of the proteins.     

Circular dichroism and the pH-induced β-coil transition of poly(S-carboxymethyl-L-cysteine) and its side-chain homolog

The CD of aqueous solutions of poly(S-carboxymethyl-L -cysteine) and poly(S-carboxyethyl-L -cysteine) has been measured at different pH, and the pH-induced β-coil transition is observed by changes in residue ellipticity of dichroic bands around 200 and 225 nm. The residue ellipticity at 200 nm of the former polypeptide is twice as large as that of the latter, when the β-conformation is formed in solution. However, the β-conformation of the latter polypeptide is more stable against electrostatic repulsion than that of the former. The transition curve of poly(S-carboxymethyl-L -cysteine) has also been determined for different molecular weights. The curves were found to be completely coincident with one another if the degree of polymerization were higher than about 100. Such a transition curve is generally divided into three steps: initiation, cooperative formation, and rearrangement of hydrogen bonds. The cooperative step is very sharp, occurring at a constant pH. These steps become agglomerated into two or one when the polypeptide concentration or added salt concentration is increased.     

Volume and sound velocity changes accompanying the -helix to -form and coil to -helix transitions in aqueous solution

The volume increment per amino acid residue for the α-helix to β-form transition of uncharged poly-L -lysine in aqueous solution was 3.8 ml in water and 4.3 ml in 0.2M and 1M NaBr solutions at 26°C, respectively. The sound velocity of the polymer solution was greater with the β-helix than with the β-form, but the difference was less in dilute salt solutions and disappeared in 1 or 2M NaBr solution. Thus, the β poly-L -lysine solution was slightly more compressible than the α-polymer solution, but this difference was diminished with increasing salt concentration. Both the volume change and the change in adiabatic compressibility of the polymer solution suggest that hydrophobic interactions among the lysyl groups in the β-form reduce the amount of “icebergs” surrounding the polymer molecules as compared with the amount originally present with the α-helix. The coil-to-helix transition of poly-L -glutamic acid in aqueous solution was also accompanied by a decrease in sound velocity. This can be attributed to the reduction of the water of hydration which is less compressible than free water.     

pH-jump titration of the tyrosyl groups of bovine plasma albumin

Ionization properties of the tyrosyl groups of bovine plasma albumin in various conformational states—the native state (N), the two acid states (F and E), and the state (B) stable at slightly alkaline pH—were studied by means of a stopped-flow-pH-jump technique. The technique allows us to obtain the tyrosyl titration curve in a conformational state that is unstable in the pH region of the titration. The pH jumps from the N and B states to various alkaline pH's, where the tyrosines ionize to bring about a time-dependent increase in absorption at 296 nm, indicating that a number of the tyrosines buried initially become susceptible to ionization as a result of the alkaline transition occurring above pH 10.8. Extrapolation of the observed absorption change to zero time gives a spectrophotometric titration curve in the initial conformational state. Only 30–401% of the 19 tyrosines of the protein can ionize both in the N and the B state at pH 12. The pH jumps from the F and E states, on the other hand, give a decrease in absorption between pH 9 and 11.7, indicating that the tyrosyl groups initially exposed are remarked by refolding after the pH jumps, and the zero-time titration curves show that essentially all the tyrosyl groups ionize normally in these acid states. The results are discussed in relation to the known results of the tyrosyl exposure of the protein measured by other techniques, and the consistency among them demonstrates the effectiveness of the pH-jump titration method. Hydrogen bonding between the abnormal tyrosyl and carboxylate groups as a mechanism to stabilize native albumin is suggested from characteristics of the alkaline transition, which also involves the exposure of the tyrosyl groups, and from the tyrosyl titration curves in the native and acid states.     

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.     

Equilibrium swelling of pigment gallstones: Evidence for network polymer structure

A major component of pigment gallstones (PS) is a black, insoluble substance. It has been suggested that this pigment material might be a highly crosslinked polymer, and if such were the case, it should imbibe solvent (swell) to the maximum permitted by the crosslinks of its macromolecular network. We measured the equilibrium amount, q_eq, by which pulverized, desiccated PS swells in different liquids, including isotonic aqueous buffers at pH values from 1.5–11.5. For ionic strengths ≥ 0.15, the dependence of q_eq on pH exhibits a broad titration curve with a midpoint near pH 7. q_eq was < 1.2 in methanol, dimethylformamide, dimethylsulfoxide, and chloroform. The ir absorbance from vinyl groups in the black pigment was only one-eighth that of unconjugated bilirubin, the primary chemical building block of PS; this implicates vinyl groups in the formation of a polymer network. The rise in q_eq with increasing pH suggests that the carboxyl groups are free to ionize and are therefore not involved in the covalent bonds that make the crosslinked polymer. A network polymer structure would account for the inability to dissolve PS in those solvents in which unconjugated bilirubin is soluble.     

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.     

The temperature-dependent self-association of beta-lactoglobulin C in glycine buffers

The self-association of β-lactoglobulin C at low pH (ca. 2.5) in glycine buffers has been studied at four temperatures, 10, 16, 20, and 25 °C, by low- and high-speed sedimentation equilibrium experiments. One buffer had an ionic strength of 0.1 and the other an ionic strength of 0.2. With either buffer the concentration dependence of the apparent weight average molecular weight, M_wa, was characteristic of a nonideal self-association. Like its genetic variants, β-lactoglobulin A and B, the self-association of β-lactoglobulin C increased with decreasing temperature; however, at the same temperature the association was always stronger in the buffer having the higher ionic strength. Several models were used to test the self-association, and a monomer-dimer self-association seemed to describe the self-association best with either buffer. Values of the association equilibrium constant, K₂, and the second virial coefficient, BM₁, are reported at each temperature for both series of experiments. Values of the thermodynamic functions, ΔG °, ΔH °, and ΔS °, are also reported for these experiments.     

Temperature dependence of the hydrogen ion equilibria in poly(riboadenylic acid)

Hydrogen ion titration curves have been obtained for poly (riboadenylic acid) (poly A) at temperatures of 0–40°C, and ionic strengths of 0.001, 0.01, and 0.15. Where comparable, the data are in general agreement with those previously reported by other investigators. Correlations between the titration data and thermal denaturation curves have been obtained. Formation of a two-stranded helix is catalyzed by the uptake of protons by the adenine base. Partial protonation of the base is required for formation of the two-stranded helix, but under appropriate conditions it is stable at degrees of ionization less than 0.2. The degree of ionization required for formation of the two-stranded helix increases with temperature and decreases with ionic strength.     

Influence of ionic strength and pH on the interaction between high-affinity heparin and antithrombin

Binding constants for the binding of high-affinity heparin to antithrombin at different ionic strengths were determined by fluorescence titrations and were also estimated from dissociation curves of the heparin-antithrombin complex. These curves were monitored by near-ultraviolet circular dichroism or fluorescence. The dependence of the binding constant on the activity of NaCl suggested that maximally 5–6 charged groups are directly involved in the interaction between the two macromolecules. Major pH-dependent changes of the interaction, as evident by changes of the spectroscopic properties of the complex between the molecules, were found to occur below pH 5.5 and above pH 8.5. The acid change, which was irreversible, was most likely caused by an irreversible conformational change of antithrombin. At alkaline pH, however, the gross conformation of antithrombin was stable up to pH 12, while the affinity of high-affinity heparin for antithrombin began to decrease markedly at pH 8.5. The dissociation curve, which was reversible, had a midpoint around pH 9.5. This is compatible with the loss of affinity being caused by either a local conformational change, by ionization of tyrosine or by titration of one or more amino groups.     

Conformational studies of the copolymer poly(L-lysine,L-tyrosine) 1:1 in aqueous solution

The absorption and circular dichroism spectra of the 1:1 copolymer (L -Lys, L -Tyr)_n have been investigated in aqueous solutions at pH ranging from 3 to 13. The spectral patterns indicate that the fully charged polympholyte assumes a nonperiodic conformation on the acid and basic sides of the isoelectric point. At pH ranging from 9.2 to 11.6, the polymer is largely ordered and takes mostly an antiparallel β-structure as is shown by the infrared spectra in D₂O solutions. Moreover, the rotational strength of the L_a transition of tyrosyl is independent of the polymer conformation, whereas that of the L_b transition is strongly sensitive to it.     

Interaction of spermine and DNA

The effect of spermine upon the denaturation temperature (T_m) of DNA's of various base compositions has been found to depend upon both the base composition of the DNA and the pH of the solution. Measurement of the hydrogen ion titration curve of spermine as a function of temperature reveals that the net charge of the spermine molecule is undergoing a rapid change with temperature in the range of temperatures at which DNA denatures. Since the value of T_m depends upon base composition, the correlation of the effect of spermine upon T_m with the base composition of the DNA used may be explainable in terms of the changing degree of ionization of spermine. The binding of spermine to native DNA has also been studied by dialysis equilibrium. There is no significant variation either in the number of strongly binding sites or strength of binding with base composition. It is concluded that there is no evidence of correlation between the binding of spermine and the base composition of DNA.     

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.