Helix–coil transition kinetics in aqueous poly(α,L-glutamic acid)

A polarimetric electric-field-jump relaxation apparatus is described and used to determine the relaxation spectrum for the helix–coil transition of poly(α,L -glutamic acid) in water at 24°C. A maximum relaxation time of 1.7 μc occurs at the transition midpoint (pH = 5.9) yielding a rate constant for helical growth of 6 × 10⁷ sec^?1.     

Helix–coil transition of poly(α,L-glutamic acid) at an interface: Correlation with static and dynamic membrane properties

When adsorbed from an aqueous dilute solution at high pH into the pores of an inert cellulose acetate filter, poly(α,L -glutamic acid) remains strongly anchored to the pore walls. The existence of the helix–coil transition for the adsorbed polypeptide in a certain pH range is evidenced by static and dynamic membrane properties displayed by the “activated” filter, such as excess cation uptake, membrane potential, and hyraulic permeability. In particular, the variations of the hydrodynamic thickeness present a sigmoidal shape characteristic of the helix–coil transition at the interface, a transition apparently less sharp than in solution.     

A nuclear magnetic resonance study of the helix–coil transition of poly(L-glutamic acid)

There have been many reports that the nuclear magnetic resonance (nmr) spectra of a large number of polypeptides exhibit peak doubling of the α-carbon and the α-carbon proton in the helix–coil transition region. One apparent exception to this generalization has been polypeptides with ionizable side chains, where the helix–coil transition is induced by changes in pH in aqueous solution. Because it is important to establish the proper theoretical reason for the peak doubling and its relation to the rate of conformational change of amino acid residues, we have reexamined the proton and carbon-13 nmr spectra, at high field, for two polydisperse samples of poly(L -glutamic acid). Doubling of the α-carbon proton resonance as well as those of the α- and β-carbon, and backbone carbonyl are observed for a low-molecular-weight sample (DP = 54), while a higher molecular weight sample (DP = 309), exhibits only single resonances. Thus, polydispersity by itself is not sufficient to observe peak doubling; low-molecular weight is also required.     

Helix–coil transition in poly(γ-benzyl-L-glutamate) and poly-ε-carbobenzoxy-L-lysine

In this paper two points are considered: the methods of evaluating the helical content θ and the calculation of the parameters of the transition from experimental data and its interpretation. The parameter ΔH obtained is in good agreement with the calorimetric one and v is found to be independent of temperature and solvent and in agreement with the ordinarily accepted value for poly(γ-benzyl-L -glutamate). The different methods of estimating θ are discussed for both polypeptides.     

Helix–coil transition in nucleoprotein—theory and applications

A general theory of helix–coil transition of irreversibly complexed nucleoproteins is presented. The equations are tested by experimental results in basic polypeptide–DNA complexes, nucleohistone I and pea bud nucleohistones. They show good agreement between theory and experiments. The theory provides direct measurement of a fraction of DNA base pairs covered by proteins, yielding a value of about 75% histone-covered base pairs in pea bud nucleohistone. It also provides a measurement of an average number of amino acid residues per nucleotide in protein-bound regions. This number varies from 1.0 to 1.4 in DNA–polylysine or DNA–polyarginine and from 2.9 to 3.3 in nucleohistone Ia, Ib, f1, and pea bud nucleohistone.     

Helix–coil transition and conformational studies of protamine–DNA complexes

Protamine–DNA complexes prepared by the method of direct and slow mixing in 2.5 × 10^?4M EDTA, pH 8.0, have been studied by thermal denaturation and circular dichroism. The complexes show biphasic melting with T_m at about 50 °C corresponding to the melting of free DNA regions and T_m′ at about 92 °C corresponding to the melting of protamine-bound regions. In protamine-bound regions there are 1.38 amino acid residues per nucleotide, indicating a nearly completely charge neutralization. T_m is increased but T_m′ is not when the ionic strength of the buffer is raised. This also supports a full charge neutralization in protamine-bound regions. The circular dichroism of the complexes can be decomposed into two components, Δ_ε0 of free DNA regions in B-form conformation and Δ_εb of protamine-bound regions in a characteristic conformation neither that of B- nor C-form but somewhere between them.     

High-resolution study of the helix–coil transition of poly(L-glutamic acid): Spectroscopic data correlation and the discovery of a new transition

This article reports on both (1) the precision and capability of a computerized multidimensional spectrophotometric system recently developed in our laboratory and (2) the high-resolution study of the helix–coil transition of poly(L-glutamic acid)[poly(Glu)], especially with regard to the discovery of an overlooked transition which is attributable to order–disorder rearrangement of the poly(Glu) side chain in the α-helical conformation. This study was made possible by the high performance of the system used. The simultaneous and continuous measurement of the circular dichroism, the absorbance and light-scattering intensity, and the pH titration curve of poly(Glu) in aqueous salt solution was carried out under continuous scanning of pH ranging from 8 to 2. Besides the well-known random coil to α-helix transition that occurs at about pH 5.5, a highly cooperative transition, which is indicated as a small but definite step in several spectral dimensions, is observed for the first time at pH 4.3. The transition is ascribed to an order–disorder conversion of the side chain on the α-helix backbone.     

Kinetic studies of the helix–coil transition in aqueous solutions of poly(L-lysine)

The rate of conformational change of aqueous poly(α-L -lysine) solutions was measured using the electric field pulse relaxation method with conductivity detection. The relaxation time as a function of pH exhibits two maxima. One is assigned to a proton transfer reaction and the other to the helix–coil conformational transition. The helix nucleation parameter and the maximum relaxation time yield the rate constant of helix growth process (k_F) according to Schwarz's kinetic theory as k_F = 2 × 10⁷ sec^?1, which is comparable to that of the poly(glutamic acid) solution. The thermodynamic parameters of the helix growth process are compared with those of poly(glutamic acid).     

Solution properties of synthetic polypeptides. V. Helix–coil transition in poly(β-benzyl L-aspartate)

Simple approximate expressions have been derived from the theory of Zimm and Bragg for use in the analysis of experimental data on the helix-coil transition in polypeptide. On the basis of the resulting expressions practical procedures are proposed to determine two basic parameters characterizing a thermally induced transition, i.e., helix initiation parameter σ and enthalpy change for helix formation, ΔH. They have been applied to the data for poly(β-benzyl L -aspartate) (PBLA) with the result: σ = 1.6 × 10^?4 and ΔH = ?450 cal/mole for PBLA in m-cresol; σ = 0.6 × 10^?4 and ΔH = 260 cal/mole for PBLA in chloroform containing 5.7 vol-% of dichloroacetic acid. This result gives evidence that σ may change not only from one polypeptide to another but also for a given polypeptide in different solvents. The change in limiting viscosity number [η] accompanying the transition was measured in the same solvents. The curve of [η] versus helical content had a relatively monotonic shape for the chloroformdichloroacetic acid solutions as compared with that for the m-cresol solutions, indicating that [η] depended largely on σ. Provided that [η] is a direct measure of the mean-square radius of gyration, 〈S²〉, the results are consistent with the theoretical predictions of Nagai and of Miller and Flory for 〈S²〉.     

Conformational transition of poly(L-glutamic acid) in aqueous solution

Further direct evidences are given that a clear correlation exists between potentiometric and spectroscopic measurements in monitoring the poly(L-glutamic, acid) helix⁺ coil transtition. Specific Li⁺ ion poly (L -glUtamic acid) interactions have been observed, suresting that Li⁺ ions may exert a distinct destabilizing action on the helical conformation of the polyelectrolyte.     

Helix–coil transition in heterogeneous chains. II. DNA model

Melting curves are calculated for infinitely long DNA-like random copolymers composed of AT and GC pairs of nucleotides. The entropy of random coil rings formed on melting is explicitly included through use of the Jacobson-Stockmayer ring-weighting factors. Transition curves are calculated for values of the cooperativity parameter σ in the range 10^?2 ? σ ? 10^?4. Ninety percent of the melting occurs in ca. 0.2°C for σ ? 10^?3 regardless of the mole fraction of GC. We conclude that observed breadths of thermal denaturation curves for native DNAs result from a superposition of essentially all-or-none melting of various regions of the molecule. It is argued that refined approximations to the ring-weighting factors are probably not important when compared with the effects produced by long-range base sequence correlations which are known to occur in native DNA.     

Dielectric studies of aqueous solutions of poly(L-glutamic acid)

The dielectric features of poly(L -glutamic acid) are studied by the Fourier synthesized pseudorandom noise method in a time domain combined with a four-electrode cell. Polymer concentration dependence, the effect of the solvent viscosity, salt effects, and pH dependence are studied concomitantly with measurements of CD. A helix-to-coil transition occurs near pH 5.6 for a salt-free solution; at higher pH values, the polymer has an ionized random-coil conformation, and at lower pH, it has a deionized α-helical conformation. When it is in the ionized random-coil conformation, with the usual features of an electrolytic polymer, the solution shows a relaxation spectrum with a large dielectric increment at low frequencies. In the deionized α-helical state, no distinct relaxation curves are obtained, which does not deny the existence of a permanent peptide dipole. The pH dependence of the dielectric increment does not mainly correspond to the conformational change from helix to coil, but rather corresponds to the change of chain expansion on account of a charge–charge interaction under low ionic strength, which is conceived of by a viscosity measurement.     

Potentiometric titrations and the helix-coil transition of poly(L-glutamic acid) and poly-L-lysine in aqueous salt solutions

The objective have been to establish if those ions which are known to change the stability of the structure of proteins, have any influence on the properties of ionizable polypeptides. Potentiometric titrations and complementary optical rotation data are presented for aqueous solutions of poly-L -lysine (PLL) in the presence of KSCN, KCl, and KF, and for poly(L -glutamic acid) (PLGA) in the presence of KSCN, KCl, and LiCl. The following measured quantities which are affected by salt concentration were obtained: intrinsic pK (pK₀), slope of pK_app versus degree of ionization (α) curves, the degree of ionization at which the helix to coil transition occurs, and the free energy of this transition for the uncharged molecule (δG°_hel). The effects of nonspecific salts (KCl and LiCl for PLL and KSCN and KCl for PLGA) are small, and about, as expected from general electrostatic considerations. In line with the observations made with isoelectric and cat ionic collagen, specific, effects were noted with KSCN–PLL and with LiCl–PLGA. In the presence of KSCN, the poly-L -lysine helix becomes stabilized at much lower degree of ionization than in the presence of KCl, and the slope of the pK_app versus α plots is greatly reduced. However, ΔG°_hel (for the uncharged molecule) is not affected, and pK₀ is only slightly higher. We interpret these data in terms of binding of SCN^? primarily to the side-chain amino groups (both to R? NH₃⁺ and to R? NH₂) solutions. (L -glutamic acid) in LiCl solution has its transition at the same α value as in KCl solution. However, both the slopes of the pK_app versus α plots and the absolute values of ΔG°_hel are lower than in KCl solution. We interpret these results in terms of binding of Li⁺ to side chains as well as to the peptide bond.     

Helix–coil transition of poly-N5-(3-hydroxypropyl)-L-glutamine: Thermodynamic and statistical analysis

The thermally induced conformational changes of poly-N⁵-(3-hydroxypropyl)-L -glutamine in water and in methanol–water (3:7 v/v) have been analyzed in terms of the Lifson-Roig theory. The transitions in both solvents can be described by using v = 0.017. The thermodynamic parameters for the random coil-to-helix transition of one amino acid residue at room temperature were found to be: in water, ΔH = ? 130 cal/mole and ΔS = ? 0.45 e.u.; in methanol–water (3:7 v/v), ΔH = ? 170 cal mole and ΔS = ? 0.45 e.u. The size distribution of helical segments is broad, and the results of numerical calculations are presented for three degrees of polymerization (DP = 100, 300, and 750).     

Solvent- and salt-induced coil–helix transition of alkali metal salts of poly(L-glutamic acid) in aqueous organic solvents

The coil–helix transition has been studied for alkali metal salts of poly (L -glutamic acid) (PLG), i.e., PLGLi, -Na, -K, and -Cs, in aqueous organic solvent systems. Dependence of the transition on the solvent composition has been qualitatively discussed in terms of the solvent dielectric constant D, Gutmann's acceptor number AN, and water activity a_w. The helix formation induced by addition of alkali chlorides has also been studied. The sharpness of the transition has been interpreted as a measure of reduction of electrostatic energy of helical PLG through contact ion-pair formation between a counterion and carboxyl anion.     

Helix–coil transitions of compositionally heterogeneous DNA

Fragmented and mitomycin C cross-linked E. coli DNA was fractionated according to base composition by means of hydroxylapatite chromatography and density-gradient centrifugation in order to determine the effect of compositional heterogeneity on the breadth of the helix–coil transition. The transitions of some of the fractions are broader than that of the unfractionated DNA, due, presumably, to nonrandom sequences in molecules of 5 × 10⁵ daltons. Analysis of the transition breadths in terms of the known heterogeneity leads to reconsideration of current DNA helix–coil transition theory. We propose that partially denatured states include those for which the chains do not remain in strict register. Denaturation profiles are comprehensible only if this multitude of entropically favorable, degenerate states is included in the theory.     

Conformational studies of poly(L-tyrosine). A helix–coil transition in dimethyl sulfoxide–dichloroacetic acid mixtures

Poly(L -tyrosine) is a random coil in dimethyl sulfoxide. Upon addition of dichloroacetic acid, poly(L -tyrosine) undergoes a conformational transition centered at about 10% dichloroacetic acid. The transition is nearly complete at 20% dichloroacetic acid. Further addition of dichloroacetic acid leads to precipitation of poly(L -tyrosine). We have characterized this transition by optical rotation, viscosity, circular dichroism, and infrared. The optical rotation at 350 nm and the intrinsic viscosity increase sharply to values that are consistent with a transition to the α-helix conformation. The circular dichroism of poly(L -tyrosine) in dimethyl sulfoxide and in dimethyl sulfoxide/dichloroacetic acid (80:20 v/v) agrees with previous reports for random-coil and α-helix conformations, respectively. The infrared spectrum of poly(L -tyrosine) in dimethyl sulfoxide/dichloroacetic acid (80:20 v/v) shows no evidence of β-structure. We conclude that the transition on going from dimethyl sulfoxide to 20% dichloroacetic acid in dimethyl sulfoxide is a coil → α-helix transition. The amide-I band of poly(L -tyrosine) in dimethyl sulfoxide/dichloroacetic acid (80:20) is found to be at 1662 cm^?1. It has been suggested that this high frequency may be indicative of a left-handed α-helix. However, this high amide-I frequency is consistent with conformational energy calculations of Scheraga and co-workers. The mechanism of the dichloroacetic acid-induced transition to an α-helix is discussed. Dichloroacetic acid and dimethyl sulfoxide interact strongly and the transition presumably involves a marked decrease in the ability of dimethyl sulfoxide to solvate the peptide backbone and aromatic side chains upon complex formation with dichloroacetic acid.     

Helix–coil stability constants for the naturally occurring amino acids in water. XXI. Glutamine parameters from random poly(hydroxypropylglutamine-co-L-glutamine) and poly(hydroxybutylglutamine-co-L-glutamine)

Water-soluble, random copolymers containing L -glutamine and either N⁵-(3-hydroxypropyl)-L -glutamine or N⁵-(4-hydroxybutyl)-L -glutamine were synthesized, fractionated, and characterized. The thermally induced helix–coil transitions of these copolymers were studied in water. A short-range interaction theory was used to deduce the Zimm-Bragg parameters σ and s for the helix–coil transition in poly(L -glutamine) in water from an analysis of the melting curves of the copolymers in the manner described in earlier papers. The computed values of s indicate that L -glutamine is helix-indifferent at low temperature and a helix-destabilizing residue at high temperature in water. At all temperatures in the range of 0–70°C, the glutamine residue promotes helix–coil boundaries since the computed value of σ is large.     

Single crystals of poly(L-glutamic acid)

Lamellar single crystals of alkaline earth salts of poly(L -glutamic acid) have been grown by precipitation from dilute aqueous solution and studied by optical and electron microscopy and by x-ray and electron diffraction. The calcium, strontium and barium salts were crystallized in the β form above room temperature and could be converted to crystals of β-poly(L -glutamic acid) by washing in dilute hydrochloric acid. The magnesium salt, on the other hand, was crystallized in the α form at or below room temperature but could not be converted into crystals of α-poly(L -glutamic acid) by washing in hydrochloric acid. The crystalline lamellae are very thin (thicknesses range from 25 to 60 Å in β crystals and are about 100 Å in α crystals) and the polypeptide chains are oriented normal to the planes of the lamellae. It is clear from the disparity between crystal thickness and molecular length that the molecules crystallize by folding at the upper and lower surfaces of the crystals. Conformations of the molecules at these folds are discussed briefly.