Potentiometric titration of poly-S-carboxyethyl-L-cysteine

Potentiometric titration curves have been determined for aqueous solutions of poly-S-carboxyethyl-L -cysteine, which is subject to the β-coil transition by a change in pH. Reversibility and time dependence of the titration curves are examined by different methods in order to establish the conditions for obtaining equilibrium curves. The β-coil transition is manifest, at some region on the equilibrium titration curve, if pH – log (α/1 – α) is plotted against α. Assuming a value, 4.00, for pK_int, the free-energy change for the β-coil transition of uncharged polymer has been evaluated from the extrapolation of the observed titration curves and is found to depend on the ionic strength and polymer concentration. The Henderson-Hasselbach plot of the titration curve yields clearer distinction between the β-form and random coil, and it permits estimation of the content of β-form at, a given pH. Comparison of the conformational titration curve with the circular dichroic measurements leads to a value of ?10,000° for [θ]₂₂₃ for the pure β-structure. Precipitation which occurs at low degrees of ionization and, especially, at high ionic strength does not reveal any discontinuous change of the titration curve, which suggests that, the degree of ionization of the precipitated β-form is not very different from that in solution.     

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.     

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.     

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.     

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.     

Sodium counterion activity of poly(S-carboxymethyl-L-cysteine) and the beta–random-coil transition

Sodium ion activity was measured using a Na-glass electrode in a solution of poly(S-carboxymethyl-L -cysteine) with no added salt at various degrees of neutralization and various concentrations for samples of different molecular weights. The conformational change from random coil to the β-structure was detected from the activity coefficient of counterions, as well as from CD. At a constant degree of neutralization, the activity coefficient is insensitive to a concentration change not only in the random-coil state, but also in the range of conformational change if the concentration is below about 3 × 10^?2 monomolal. At high concentrations of about 5 × 10^?2 monomolal, however, the activity coefficient becomes low, probably due to the occurrence of the stacking of the pleated sheets.     

The random coil → β transition of copolymers of L-lysine and L-isoleucine: Potentiometric titration and circular dichroism studies

Copolymers of L -lysine and L -isoleucine [poly(L -Lys^f,L -Val^{1 ? f})] containing 4–15% isoleucine were investigated using potentiometric titration and circular dichroism (CD) spectroscopy. With increasing isoleucine content, β-sheet formation is favored over α-helix formation at high pH and room temperature. The fraction of β-sheet present, as a function of pH, calculated from titrations of poly(L -Lys^85.2,L -Ile^14.8), agreed well with data obtained from CD studies for the same copolymer. Thermodynamic parameters were determined from titrations using the method of Zimm and Rice; the partial free energy (ΔG°_{C → β}) at 25° for the coil-to-β-sheet transition for isoleucine was estimated to be ?515 cal/mol; from the temperature dependence of free energy, the partial entropy (ΔS°_cβ), and the partial free enthalpy (ΔH°_{c → β}) of the coil → β transition for isoleucine is estimated to be 2.6 e.u. and 260 cal/mol, respectively. The partial thermodynamic parameters obtained for lysine are in good agreement with literature values. It is concluded from these studies that isoleucine has a very high potential for a β-sheet formation.     

The random coil leads to beta transition of copolymers of L-lysine and L-valine: potentiometric titration and circular dichroism studies.

A series of copolymers of L -lysine and L -valine [poly(L -lysine^f L -valine^100-f)] containing 0–13% L -valine have been studied, in 0.10M KF solution, using potentiometric titration and circular dichroism spectroscopy. Incorporation of increasing amounts of valine into the copolymers favors β-sheet formation over α-helix formation at high pH and room temperature. The titrations were analyzed using the method of Zimm and Rice and the partial free energy (ΔG⁰_cβ) for the coil-to-β-sheet transition for valine is estimated at 900 cal/mole at 25°C. From the temperature dependence of the free energy, the partial enthalpy, ΔH⁰_cβ, and entropy, ΔS⁰_cβ, of the transition for valine is estimated to be 854 cal/mole and 6.0 e.u., respectively. The corresponding partial thermodynamic parameters for L -lysine are in agreement with published results. The fraction of β-sheet versus pH has been calculated for poly(L -lysine^86.8 L -valine^13.2) at 25.0°C using the titration data; data obtained from circular dichroism spectroscopy for the same copolymer are in good accord. It is concluded from these results that L -valine is a very strong β-sheet forming amino acid. Furthermore, these results indicate that the Zimm–Rice method is applicable to transitions between the coil and β-sheet states for a polypeptide containing two different residues.     

S-Carboxymethylcysteine Synthase from Escherichia coli

An enzyme that catalyzes the synthesis of S-carboxymethyl- l-cysteine from 3-chloro- l-alanine (3-Cl-Ala) and thioglycolic acid was found in Escherichia coli W3110 and was designated as S- carboxymethyl-l-cysteine synthase. It was purified from the cell-free extract to electrophoretic homogeneity and was crystallized. The enzyme has a molecular weight of 84,000 and gave one band corresponding to a molecular weight of 37,000 on SDS-polyacrylamide gel electrophoresis. The purified enzyme catalyzed the β-replacement reactions between 3-CI-AIa and various thiol compounds. The apparent Km values for 3-Cl-Ala and thioglycolic acid were 40 mM and 15.4 mM. The enzyme showed very low activity as to the α,β-elimination reaction with 3-Cl-Ala and l-serine. It was not inactivated on the incubation with 3-Cl-Ala. The absorption spectrum of the enzyme shows a maximum at 412 nm, indicating that it contains pyridoxal phosphate as a cofactor. The N-terminal amino acid sequence was determined and the corresponding sequence was detected in the protein sequence data bank, but no homogeneous sequence was found.     

Preparation of fractionated low-molecular-weight poly(S-carboxymethyl-L-cysteine) by ion-exchange chromatography

N-Carboxyanhydride of S-carbobenzoxymethyl-L -cysteine was polymerized by the addition of ethylamine as an initiator at anhydride–initiator ratios A/I = 3, 4, 6, 8, 12, and 16. Acetylation of the amino terminal was carried out with p-nitrophenylacetate. After debenzylation, low-molecular-weight samples of poly(S-carboxymethyl-L -cysteine) were obtained for A/I = 8, 12, and 16. These samples were fractionated by ion-exchange chromatography (DEAE–cellulose). About six fractions of narrow molecular-weight distributions were obtained. Their degrees of polymerization (DP) ranged from 8 to 16, as determined from proton nmr and also estimated based on their elution volumes on the ion-exchange chromatography at constant ionic strengths. This range of DP covered the range of interest concerning the formation of the β-structure in aqueous solutions; a fraction did not form the β-structure, whereas another fraction did. The results of the gel filtration (Biogel P-10) of the fractionated samples were consistent with the estimated DPs.     

A study of DNA denaturation in the ultracentrifuge

The melting transition of DNA in alkaline CsCl can be followed in the analytical ultracentrifuge. Equilibrium partially denatured states can be observed. These partially denatured DNA bands have bandwidths of up to several times those of native DNA. Less stable molecules melt early and are found at heavier densities in the melting region. An idealized ultracentrifuge melting transition is described. The melting transition of singly nicked PM-2 DNA resembles the idealized curve. The DNA profile is a Gaussian band at all points in the melt. DNA's from mouse, D. Melanogaster, M. lysodeikticus, T4, and T7 also show equilibrium bands at partially denatured densities, some of which are highly asymmetric. Simple sequence satellite DNA shows an all-or-none transition with no equilibrium bands at partially denatured densities. The temperature at which a DNA denatures is an increasing function of the (G + C) content of the DNA. The T_m does not show a molecular-weight dependence in the range 1.2 × 10⁶–1.5 × 10⁷ daltons (single strand) for mouse, M. lysodeikticus, or T4 DNA. The mouse DNA partially denatured bands do not change shape as a function of molecular weight. The T4 DNA intermediate band develops a late-melting tail at low molecular weight. M. lysodeikticus DNA bands at partially denatured densities become broader as the molecular weight is decreased. Mouse DNA is resolved into six Gaussian components at each point in the melting transition.     

Volume and sound velocity changes associated with coil- transition of poly(S-carboxymethyl L-cysteine) in aqueous solution

The measurements were made for the volume and the sound velocity changes (ΔV and ΔU) on titrating the sodium salt of poly (S-carboxymethyl L -cysteine) with dilute HCl. For the reaction, ? COO^? + H⁺ → ? COOH, ΔV per mole of H⁺ bound was + 12. 7 ml and +11. 4 ml in salt-free and 0. 2 M NaCl solutions, respectively. Corresponding ΔU was about ?13 cm/sec in salt-free polymer solution where 11.5 mM carboxylate ion reacts with equimolar hydrogen ion. ΔV associated with the coil-to-β transition was found to be +2. 35 ml in H₂O and +1. 90 ml in 0. 2 M NaCl per mole of amino acid residue, respectively. These values are larger than those obtained for the coil-to-helix transition of poly (L -glutamic acid). ΔU for the transition was about ?30 cm/sec in salt-free solution of polymer concentration 0.0115 mole/liter. Possible sources of ΔV and ΔU for reaction; coil → β, are (1) the formation of void volume and (2) the changes in the extent of solvation in amide linkage and in side chain.     

Thermodynamic parameters of helix-coil transition in polypeptide chains. I. Poly-(L-glutamic acid)

The helix-coil transitions for poly(L -glutamic acid) (PGA) in 0.2M NaCl and in its mixture with dioxane were studied by the methods of spectropolarimetry, viscometry, and potentiometric titration at different temperatures from 8 to 50°C. The enthalpy and entropy differences between the helical and coillike states of uncharged PGA molecules were determined from the curves of potentiometric titration. The temperature dependence of the cooperativity parameter σ was determined by two methods: from the sharpness of transition and from the dependence of the intrinsic viscosity on the helical content in the transition region. In 0.2MNaCl, σ= (2.5 ± 0.5) × 10^?3 and practically does not depend on temperature, i.e., the cooperativity of the helix-coil transition is connected mainly with the entropy decrease in initiating helical regions (ΔS_i ≈ ?12 is mole of helical regions). On the contrary, initiation of a helical region in the water-organic solvent mixture is accompanied by a considerable enthalpy increase.     

Light scattering during the hysteresis effect in poly(A)·2poly(U)

Light-scattering studies on buffered aqueous solutions of the triple-stranded polyribonucleic acid poly(A)·2poly(U) were carried out at neutral pH and during titration. At pH 7.1 and 22°C, a sample of commercially available polymer in 0.005M phosphate buffer gave a Zimm plot which yielded values for the weight-average molecular weight, M _w, of 874,000 ± 1800 g/mol, a root-mean-square radius, ρ of 930 ± 22 Å, and a second viral coefficient of 0.51 ± 0.05 × 10 ^?3 cm³g^?1 mol. The light-scattering data were also analyzed by serval linear and nonlinear least-squares programs which were devised to determine the model (e.g., rod, coil, or zigzag) which could best describe the shape of the molecule. It was found that a rodlike model, perhaps with a few bends, was in best overall agreement with the data. The assumption that the molecule is a thin rod leads to a value for the linear density of 206 g mol^?1 Å^?1 and a translation of 3.3 Å per residue. These values are also in close agreement with those expected for a triple-stranded, thin, base-stacked molecule. During titration from neutral pH with 0.1M HCl, the observed apparent molecular weight slowly increased until at about pH 3.5 a sudden, large increase (about 30-fold) occurred. The root-mean-square radius, on the other hand, after an initial small decrease (of about 25%), also exhibited a large increase (about 4-fold). Upon back titration with 0.1M NaOH, the molecular parameters did not retrace the original path, but instead exhibited hysteresis—the M _w and ρ _z are both larger on the basic branch than on the acid branch at a corresponding pH. A plot of long ρ _z against log(M _w) during the interval in which the high-moelcular-weight form was present (below pH 3.5 on the acid branch, and on the basic branch) gave a straight line with a slope of ?. This suggests that the aggregates were composed of some tens of rather open radom coils, presumably of poly(A)·poly(A), and that the hysteresis may be caused under conditions by the metastability of the entangled coils.     

Syntheses and conformational studies of poly(Nε-methyl-L-lysine), poly(Nδ-methyl-L-ornithine), poly(Nδ-ethyl-L-ornithine), and their carbobenzoxy derivatives

The helix–coil transitions of poly(N^ε-methyl, N^ε-carbobenzoxy-L -lysine), poly(N^δ-methyl, N^δ-carbobenzoxy-L -ornithine), and poly(N^δ-ethyl, N^δ-carbobenzoxy-L -ornithine) in chloroform–dichloroacetic acid and their corresponding decarbobenzoxylated polypeptides in alkaline solutions were followed by optical rotation measurements. The introduction of a methyl or an ethyl group to the side chains of the carbobenzoxy derivatives of poly(L -lysine) and poly(L -ornithine) appeared to weaken the helical conformation at 25°C. The thermodynamic quantities of the three water-soluble polypeptides were calculated from the data on potentiometric titrations at several temperatures. For uncharged coil-to-helix transition, ΔH = ?370 cal/mol and ΔS = ?1.1 eu/mol for poly(N^ε-methyl-L -lysine), and ΔH = ?540 cal/mol and ΔS = ?1.6 eu/mol for poly(N^δ-ethyl-L -ornithine) (all on molar residue basis). The absolute values of ΔH and ΔS dropped in the region of pH-induced transition and eventually both quantities became positive. The initiation factor σ was about 2 × 10^?3, which was essentially independent of temperature. For poly(N^δ-methyl-L -ornithine) the coil-to-helix transition was not complete even when the polymer was uncharged at high pH.     

Kinetics of the salt-induced B- to Z-DNA transition

The salt-induced B- to Z-DNA conformational transition is a cooperative- and time-dependent process. From a modified form of the logistic equation which describes an equilibrium between two states we have deduced a kinetic function to quantify the degree of the B to Z transition of a synthetic (dG-dC) ⋅ (dG-dC) polynucleotide. This function was obtained by introduction of time as a variable in the logistic function so that the equilibrium constant, K, is replaced by a new constant K _s , characteristic of the type of salt used. This constant is defined as the salt concentration needed to reach the B-Z transition-midpoint in the time unit. The equation fits the data obtained by circular dichroism (CD) for changes in molecular ellipticity of poly(dG-m⁵dC) ⋅ poly(dG-m⁵dC) and poly(dG-dC) ⋅ poly(dG-dC) incubated with various concentrations of mono-, di-, and trivalent salts at a constant temperature. The derived expression may be a very useful tool for studying the kinetics of the B- to Z-DNA transition. Received: 1 December 1997 / Revised version: 16 March 1998 / Accepted: 27 March 1998     

Spectroscopic analysis of DNA base-pair opening by Escherichia coli RNA polymerase. Temperature and ionic strength effects

The interaction of Escherichia coli RNA polymerase with poly[d(A-T)] and poly[d-(I-C)] was studied by difference absorption spectroscopy at temperatures, from 5 to 45°C in the absence and presence of Mg²⁺. The effect of KCl concentration, at a fixed temperature, was studied from 12.5 to 400 mM. Difference absorption experiments permitted calculation of the extent of DNA opening induced by RNA polymerase and estimation of the equilibrium constant associated with the isomerization from a closed to an open RNA polymerase-DNA complex. ΔH⁰ and ΔS⁰ for the closed-to-open transition with poly[d(A-T)] or poly[d(I-C)] complexed with RNA polymerase are significantly lower than the values associated with the helix-to-coil transition for the free polynucleotides. For the RNA polymerase complexes with poly[d(A-T)] and poly[d(I-C)] in 50 mM KCl, ΔH⁰ ≈ 15–16 kcal/mol (63–67 kJ/mol) and ΔS⁰ ≈ 50–57 cal/K per mol (209–239 J/K per mol). The presence of Mg²⁺ does not change these parameters appreciably for the RNA polymerase-poly[d(A-T)] complex, but for the RNA polymerase-poly[d(I-C)] complex in the presence of Mg²⁺, the ΔH⁰ and ΔS⁰ values are larger and temperature-dependent, with ΔH⁰ ≈ 22 kcal/mol (92 kJ/mol) and ΔS⁰ ≈ 72 cal/K per mol (approx. 300 J/K per mol) at 25°C, and ΔC_p⁰ 2 kcal/K per mol (approx. 8.3 kJ/K per mol). The circular dichroism (CD) changes observed for helix opening induced by RNA polymerase are qualitatively consistent with the thermally induced changes observed for the free polynucleotides, supporting the difference absorption method. The salt-dependent studies indicate that two monovalent cations are released upon helix opening. For poly[d(A-T)], the temperature-dependence of enzyme activity correlates well with the helix opening, implying this step to be the rate-determining step. In the case of poly[d(I-C)], the same is not true, and so the rate-determining step must be a process subsequent to helix opening.     

Probing the behavior of bovine serum albumin upon binding to atenolol: insights from spectroscopic and molecular docking approaches

Molecular interaction of atenolol, a selective β₁ receptor antagonist with the major carrier protein, bovine serum albumin (BSA), was investigated under imitated physiological conditions (pH 7.4) by means of fluorescence spectroscopy, UV absorption spectroscopy, Fourier transform infrared spectroscopy (FT-IR), and molecular modeling studies. The steady-state fluorescence spectra manifested that static type, due to formation of the atenolol-BSA complex, was the dominant mechanism for fluorescence quenching. The characteristic information about the binding interaction of atenolol with BSA in terms of binding constant (K_b) were determined by the UV–vis absorption titration, and were found to be in the order of 10³ M^?1 at different temperatures, indicating the existence of a weak binding in this system. Thermodynamic analysis revealed that the binding process was primarily mediated by van der Waals force and hydrogen bonds due to the negative sign for enthalpy change (ΔH⁰), entropy change (ΔS⁰). The molecular docking results elucidated that atenolol preferred binding on the site II of BSA according to the findings observed in competitive binding experiments. Moreover, via alterations in synchronous fluorescence, three-dimensional fluorescence and FT-IR spectral properties, it was concluded that atenolol could arouse slight configurational and micro-environmental changes of BSA.     

Thermodynamic parameters of helix-coil transition in polypeptide chains. II. Poly-L-lysine

The helix–coil transitions for poly-L -lysine (PL) were investigated by the methods of spectropolarimetry, viscometry and potentiometric titration in 0.2M NaCl at different temperatures as well as in 0.2MNaBr, 1MKCl, and in mixtures of 0.2MNaCl or NaBr with methanol at room temperature. The enthalpy and entropy differences between the helical and coillike states of uncharged PL molecules in 0.2.M NaCl were determined from the potentiometric titration curves. The cooperativity parameters σ for PL in different solvents were determined by two methods (from the sharpness of the transition and from the dependence of the intrinsic viscosity on the helical content in the transition region). In 0.2MNaCl σ has a value of (2.3 ± 0.5) × 10^?4 and does not depend on temperature, i.e., the cooperativity of the helix-coil transition, as for PGA, is mainly of an entropy origin (the initiating of the helical region is accompanied by the entropy decrease ΔS_i = ?12 eu/mole of helical regions). A comparison of the obtained results for PGA and PL with the molecular theories of the helix-coil transitions shows that the role of dipole-dipole interactions of nonneighboring peptide groups is greatly overestimated in these theories, leading to a considerable enthalpy contribution to the free energy of initiating helical regions which is not observed in the experiment.     

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.