Correlation between the sequence-length distribution and structure of statistical copolymers of L-valine and γ-benzyl-L-glutamate

Statistical copolymers were prepared from N-carboxyanhydrides of L -valine and γ-benzyl-L -glutamate in dioxan with triethylamine as an initiator. The copolymerization conversion was determined by ir spectroscopy, the copolymer composition by amino acid analysis, and the molecular weights by light scattering. The monomer reactivity ratios were found to be r_Val = 0.14 and r_Glu(OBzl) = 6.4. High-molecular-weight copolymers are formed even at low conversions. The content of β-structure in the copolymers was estimated from the ir spectra in copolymerization mixtures. The sequence-length distribution of L -valine and γ-benzyl-L -glutamate copolymers was calculated and its dependence on copolymerization conversion is discussed. Relations between the sequence-length distribution and the content of β-structure were studied. It was found that the content of β-structure in samples with the same composition is different for low- and high-conversion copolymers. The formation of β-structure in copolymers in the copolymerization mixture requires a certain minimal sequence length, which has been found to be about 6 valine units.     

Structure of micelles formed by monodisperse hexa-(γ-benzyl-L-glutamate) in solution

The angular dependence of light scattering and the concentration dependence of the relative viscosity have been measured in solutions of o-nitrophenylthio-hexa-(γ-benzyl-L -glutamate) ethylamide in ethylene dichloride. Both the reduced intensity of scattered light and the reduced viscosity of the solution suddenly increase above a certain critical concentration, below which both of them remain low and constant. The Debye plot of light scattering indicates that primary micelles having an aggregation number 48 are formed at the critical micelle concentration and that secondary micelles, each consisting of 294 molecules, then appear in increasing amounts with increasing concentration beyond the critical micelle concentration. The secondary micelle is rodlike and has a length of 1170 Å, if it is rigid. An analysis of the reduced viscosity leads to the intrinsic viscosity for the primary micelle, 0.360 dL g^?1, and to that of the secondary micelle, 1.28 dL g^?1. If the secondary micelle is represented by a prolate ellipsoid, it should have an axial ratio of 47. If the polypeptide chains are extended in the micelle, the observed aggregation number and axial ratio of the secondary micelle can well accommodate the intermolecularly hydrogen-bonded in-register β-structure of anti-parallel chains. In the primary micelle, some folded polypeptide chains are involved, and an intermolecularly hydrogen-bonded out-of-register structure would form a rather open network.     

Relative stability of the α-helix of deuterated poly(γ-benzyl-L-glutamate)

The coil-to-helix transition temperatures of hydrogen bearing and deuterated poly(γ-benzyl-L -glutamate) in 1,3-dichlorotetrafluoroacetone/H₂O and/D₂O mixtures, respectively, have been determined. Together with previously obtained data for the conformational transition of this polypeptide in normal and deuterated dichloroacetic acid, these results have been used in an analysis of the effect of deuterium substitution on the intrinsic stability of the α-helical form of poly(γ-benzyl-L -glutamate). The findings, consistent for both solvent systems, showed that the deuterated polypeptide is some 5% more stable than the normal protonated poly(γ-benzyl-L -glutamate), while the polypeptide-active solvent interaction enthalpy is also slightly increased by deuterium substitution in the respective molecules. A consideration of available data for poly(β-benzyl-L -aspartate) reveals an anomaly with respect to the present analysis.     

Further evidence of the protonation of the C-terminal of the poly-γ-benzyl-L-glutamate helix by acids

The change of the specific Kerr constant upon the addition of several acids to poly-γ-benzyl-L -glutamate solution in ethylene dichloride has been measured by the rectangular pulse method. The addition of a small amount of strong acid (trifluoroacetic acid, trichloroacetic acid, monochloroacetic acid, or hydrogen chloride) caused a rapid decrease of the specific Kerr constant. On the other hand, the effect of weak acids (formic acid, acetic acid, and propionic acid) was small. These facts show that the apparent dipole moment of a helical poly-γ-benzyl-L -glutamate molecule is considerably diminished by the protonation of terminal peptide groups. The electric conductivity of poly-γ-benzyl-L -glutamate solution in ethylene dichloride–dichloroacetic acid mixtures has been measured. It was found that the specific conductivity per unit concentration of poly-γ-benzyl-L -glutamate increased considerably at small fractions of dichloroacetic acid. This shows that poly-γ-benzyl-L -glutamate can react as a base (proton acceptor) with dichloroacetic acid. This result also confirms the previous conclusion.     

The viscosity behavior and conformations of low-molecular-weight poly-γ-benzyl-L-glutamate in various solvents

Reduced viscosity and infrared spectra of low-molecular-weight poly-γ-benzyl-L -glutamate (which was prepared by polymerization of the N-carboxyanhydride with n-hexylamine initiation at [A]/[I] 3, 4, and 8) have been measured in various organic solvents. Infrared spectra indicate that the polypeptide molecules consist of a series of residues of two forms, the solvated σ-form and the hydrogen-bonded β-form, and relative abundance of the two forms depends on solvent species and polypeptide concentration. An approximate method is developed for estimating the content of β-structure from a single spectrum of dissolved polypeptide. The reduced viscosity of some solutions is scarcely dependent in polypeptide concentration, in which a single conformation is predominantly kept over the concentration range. In the other solutions the reduced viscosity displays a strong concentration dependence or some anomalous behavior. The observed viscosity behavior has been attributed to the changes in size and shape of aggregates, which are determined by the number of hydrogen bonds in the aggregate. This unusual behavior is exhibited by solutions of the polypeptides which have a moderate content of β-structure at a finite concentration. Both the content of β-structure and the extent of association increase in the following solvents, ranked in order of effectiveness: dimethylformamide, trifluoroethanol < trimethyl phosphate < chloroform < dioxane < ethylene dichloride < ethylene dibromide. Infrared spectra suggest that the conformation of the polypeptide in dichloroacetic acid differs from either the σ- or the β-conformation.     

Nuclear magnetic resonance and optical spectroscopic studies of block copolymers of polypeptides. I. Block copoly((benzyl-L-glutamate) n : (benzyl-L-aspartate) m )

In a study of A–B type block copolymers of γ benzyl-L -gultamate and β-benzyl-L -aspartate use has been made of the observations: (1) that for poly aspartate esters the chemical shifts of the α-CH and NH resonances are sensitive to the helix sense, (2) that in both helical and random coil conformations the same resonances of poly-γ-benzyl-L -glutamate are well separated from those of poly aspartates. Since the sense of poly-β-benzyl-L -aspartate is very sensitive to the inclusion of γ-benzyl-L -glutamate residues, the degree of overlap between the blocks can be studied by monitoring the helix sense of the aspartate. The ability of the NMR method to make separate observation of the two blocks removes the necessity of relying on an overall ORD parameter such as b₀. The copolymers studied include those having lefthanded, righthanded, and mixed-sense aspartate, corresponding to differing degrees of overlap.     

The random copolymerization of γ-benzyl-L-glutamate and L-valine N-carboxyanhydrides: Reactivity ratio and heteogeneity studies

The random copolymerization of the N-carboxyhydrides of γ-benzyl-L -glutamate and L -valine using triethylamine as the initiator in low dielectric media reults in high-molecular-weight copolymers at low convenrson. This behavior makes it possible to apply the monomer reactivity ration theory, which was dervied for addition polymerizations, and from the use of the copolymer composition equation, the respective monomer reactivity ratios, the average and incremental copolymer compositions, and the monomer feed ratio at any conversion can be determined. A comparison of the reactivity ratios for the copolymerization of γ-benzyl-L -glutamate NCA and L -valine NCA in benzene/methylene chloride (r_G = 2.1, r_V = 0.6) with those obtained using dioxane (r_G = 2.7, r_V = 0.3) indicates that the interchain compositional heterogeneity is greater for copolymers prepared in the dioxane. For Example, at 100% conversion of the monomeric NCAs, Poly[Glu(OBzl)⁵⁰Val⁵⁰] prepared in dioxance has an interchain composition ranging from 74 to 0 mol % γ-benzyl-L -glutamate, whereas in benzene/methylene chloride the interchain composition of γ-benzyl-L -glutamae ranges from 65 to 0 mol %. Once the reactivity ratios are obtained for any pair of α-amino and N-carboxyanhydrides, the use of the aforementioned parameters relating to interchain composition can give insight into the compositional heterogeneity between chains as a function of conversion and provide a basis for the preparation of random α-amino acid copolymers that are homogeneous.     

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.     

On the amino-acid-sequence distribution in benzylglutamate-methionine copolymers prepared from N-carboxyanhydrides

The amino-acid-sequence distribution in poly(γ-benzyl-L -glutamate, L -methionine) prepared by polymerization of the respective N-carboxyanhydrides has been investigated. This copolymer was converted first to poly(L -glutamic acid, L -methionine), which was subsequently cleaved by treatment with cyanogen bromide. The resulting material was fractionated into oligomers of (glutamic acid)_n-homoserine whose relative molar amounts were determined quantitatively. The results have been compared with those for a random incorporation of the methionine in a γ-benzylglutamate host polymer. Fairly close agreement has been found.     

Étude thermodynamique de la transition hélice–pelote statistique en solvants mixtes de différents esters de l'acide poly(L-glutamique)

Helix–coil transition of poly(γ-methyl-L -glutamate), poly(γ-ethyl-L -glutamate), and poly(γ-benzyl-L -glutamate) has been studied in mixed solvents by calorimetry, polarimetry, and viscometry. The experimental data have allowed the evaluation of solvation enthalpy Δh_b, equilibrium constant K for hydrogen bond formation between the active solvent component and CO and NH groups, and the cooperativity parameter σ. The conformational transition of polypeptides in solution in a mixed solvent containing enough active solvent to maintain the coiled conformation has been produced by dilution with the helix-supporting solvent for the measurements of enthalpy of transition Δh_s. The average value for Δh_s is 3550 ± 300 J/mol and is practically independent of the nature of the side chain for the dichloroacetic acid-ethylene dichloride solvent pair at 25°C. A noticeable concentration effect exists in the case of poly(γ-benzyl-L -glutamate). The helical conformation is less stable for poly(γ-ethyl-L -glutamate), and this is explained by a steric effect hindering the access of dichloroacetic acid to side chains. Constant K has been calculated using polarimetric data and also from values of Δh_s obtained at different temperatures using the Bixon and Lifson theory on the one hand and that of Sayama and coworkers on the other hand. Values of σ for poly(γ-ethyl-L -glutamate) have been calculated according to both theories mentioned, and the results show that the two sets of values are quite similar. The constant σ depends on the nature of the active solvent, on temperature, and on the binary-solvent composition. These conclusions are confirmed by viscometric results. Values of Δh_b calculated from constant K are 5230 J/mol when Bixon and Lifson theory is used and 5569 J/mol when the theory at Sayama and coworkers is used. In both cases the value for Δh_b is much lower than that of an intramolecular hydrogen bond. Experimental results suggest that the solvation mechanism would proceed in a manner so that mechanisms described in both theories are involved.     

13C and 1H NMR studies of helix-coil transition of poly(β-benzyl-L-aspartate) and poly(γ-benzyl-L-glutamate): Behavior in nonprotonating solvent mixtures,and origin of solvent-induced chemical shift

From the results of ¹³C-nmr measurement of poly(β-benzyl-L -aspartate) and its model compounds in dimethyl sulphoxide/deuterated chloroform mixtures, it was found that the side chain of poly(β-benzyl-L -aspartate) is solvated by dimethyl sulphoxide in the region more than dimethyl sulphoxide 20% (v/v), where the backbone maintains the α-helix. The chemical shift differences in the benzyl group carbons of poly(γ-benzyl-L -glutamate) (trifluoroacetic acid/deuterated chloroform) accompanied by the helix-coil transition, originate from the interaction between the ester group of the side chain and trifluoroacetic acid. The chemical shift difference in the ester carbon is similar. On the other hand, the chemical shift differences of the side-chain carbons in the alkyl portion (C^β, C^γ) originate not only from the interaction between the ester group of the side chain and trifluoroacetic acid, but also from some other unknown factors. The chemical shift differences of the side-chain carbons of poly(β-benzyl-L -aspartate) originate from the interaction between the ester group of the side chain and trifluoroacetic acid.     

The -conformation and association of low-molecular-weight poly- -benzyl-L-glutamate in solutions

Three samples of poly-γ-benzyl-L -glutamate have been prepared from γ-benzyl-N-carboxy-L -glutamate anhydride with n-hexylamine initiation at anhydride-to-initiator molar ratios, [A]/[I], of 3, 4, and 8, and their conformation and association in ethylene dichloride and dioxane have been investigated by means of infrared spectra and vapor-pressure osmometry. Two conformations, σ-and β-forms, are present in those solvents, and the content of β-form increases with increasing A/I value and concentration. At infinite dilution molecular association is absent, but the number-average molecular weight increases with cocentration, markedly in ethylene dichloride and, to a lesser extent, in dioxane. The fraction of residues involved in associated molecules have been estimated as a function of concentration. Combination of the content of β-structure with the fraction of association leads to the following results. The A/I 3 and 4 polymers form intermolecularly hydrogen-bonded aggregates, in which hydrogen-bonded residues are in the β-structure. The A/I 8 polymer has the intramolecularly hydrogen-bonded β-structure at very low concentrations, but it also forms intermolecularly hydrogen-bonded aggregates at high concentrations.     

Solution properties of synthetic polypeptides. II. Sedimentation and viscosity of poly-γ-benzyl-L-glutamate in dimethylformamide

Nine samples of poly-γ-benzyl-L -glutamate (PBLG), ranging in M?_w from 19,000 to 410,000, were examined viscomctrically and by ultracentrifugation with dimethylforma-mide (DMF) at 25°C. as helicogenic solvent. The data for [η] and s₀ (limiting sedimentation coefficient) as functions of M?_w were fitted well by the theories for a rigid prolate ellipsoid of revolution whose major axis increases linearly with M?_w, but whose minor axis is independent of M?_w. This implies that the overall shape of the PBLG molecule in DMF is represented by a straight cylinder whose cross section is independent of its length. The length per monomeric residue h evaluated from [η] is about 1.3 A., whereas that from s₀ is about 1.6 A. No adequate explanation for this difference in h can be found at present. More serious is the fact that these hydrodynamically evaluated values of h are appreciably larger than, the value obtained from our light-scattering measurements reported previously. All these values of h from our studies are not consistent with the value characteristic of the α-helix, for which h is 1.5 A. The concentration dependence of s₀ was found to agree well with the recent theoretical prediction of Peterson for cylindrical macromolecules.     

Effect of concentration on the aggregation of poly(γ-benzyl-L-glutamate) in dioxane: Critical concentration and maximum length for linear head to tail aggregates

Dielectric relaxation studies in the frequency range 100 Hz to 2 MHz of poly(γ-benzyl-L -glutamate) in dioxane have been carried out over a range of concentration 10^?4–10^?2g/g. The structure of aggregates is analyzed in terms of dipole moment and relaxation time. A critical concentration (? 10^?3 g/g for the studied molecular weights) has been determined below which the aggregates are found to have linear head to tail type structure. Above the critical concentration a different structure of aggregates is apparent which could not be fully analyzed by these measurements alone. Possible forms of aggregation above the critical concentration are discussed. Formation of long range order which would lead to nematic liquid crystalline phase at higher concentrations has been discussed as one of the possible explanations for the observed behavior above the critical concentration. Maximum length of linear head to tail type aggregates for poly(γ-benzyl-L -glutamate) in dioxane as determined from these results correspond to an α-helix of molecular weight 210,000. A slight difference in the purity of dioxane has been shown to have an influence on the reproducibility of the state of aggregation as well as on the rate of disaggregation on dilution.     

Rigidity of α-helical polypeptides. A new method of obtaining the persistence length from viscosimetric data

The hydrodynamic properties of α-helical poly(L -glutamic acid), (Glu)_n in aqueous solutions and in mixtures of water with organic solvents have been interpreted in terms of the persistence length of the macromolecule. A modification of the method of Vitovskaya and Tsvetkov has been proposed in order to allow a more accurate determination of this parameter. The addition of an organic solvent increases strongly the rigidity of the helical conformation of (Glu)_n. A comparison is made with some data of the literature of poly[N⁵-(3-hydroxy propyl)L -glutamine], [Gln(CH₂)₃OH]_n, and poly(γ-benzyl-L -glutamate), [Glu(OBzl)]_n.     

Reversing-pulse electric birefringence of poly (γ-benzyl-L-glutamate). II. Field-strength dependence of steady-state and decay signals of well-fractionated samples

The electric field dependence (up to 21 kV/cm) of the steady-state and decay signals has been examined on the four well-fractionated samples of poly(γ-benzyl-L -glutamate), [Glu(OBzl)]_n, in N,N-dimethylformamide at 535 nm and 20°C. Together with the data previously obtained from the reversing-pulse electric birefringence [Ueda, K., Nomura, M. & Yamaoka, K. (1983) Biopolymers 22 , 2077–2090], the steady-state birefringence and field-free relaxation time were analyzed by a method that takes into account the polydispersity of the chain length. The weight-average chain length, (l_w), permanent dipole moment, (μ_w), electric polarizability anisotropy, (Δα_w), and the length-independent optical anisotropy factor were evaluated. The axial translation per residue was calculated for the [Glu(OBzl)]_n helix, but the uncertainly involved in the weight-average molecular weights, determined from light scattering by different investigators, makes the determination of the exact conformation of [Glu(OBzl)]_n difficult. The contribution of Δα_w to electric field orientation was found to be significant, since Δα_w was approximately proportional to l_w. A linear relationship also exists between μ_w and l_w, when the [Glu(OBzl)]_n helix is shorter than about 1200 Å.     

Laser light scattering of PBLG in DMF

We report measurements of static and dynamic properties of poly(γ-benzyl-L -glutamate) (PBLG) in dimethyl formamide at 25 °C using laser light scattering. Correlation-function profile analyses were performed using the histogram method. The resultant average linewidth and dispersion were reconfirmed using the cumulants method. We were able to determine the molecular-weight distribution of PBLG using the histogram method and to confirm the polydispersity for rod polymers in solution to be roughly M_w/M_n ～ 1 + μ₂/Γ ². In our analysis of the Rayleigh linewidth, we used both the rigid-rod model and the Fujime approach involving rod flexibility. We obtained very reasonable agreement between the Fujime theory and our experiments and concluded that for most stiff polymers of interest, it would be more appropriate to use the Fujime approach, which could also yield a rod-flexibility parameter. In semidilute solutions, we observed two effects, namely, a maximum in the diffusion coefficient and a broadening of the linewidth distribution function at both low and high frequencies, which were not predicted by the Doi-Edwards theory.     

Infinite dilution viscoelastic properties of poly(gamma-benzyl-L-glutamate) in m-cresol.

The real and imaginary parts of complex viscosity, η′ and η″, are measured for dilute solutions of poly(γ-benzyl-L -glutamate) in m-cresol, a helicogenic solvent. The frequency range is 2.2–525 kHz; the concentration range 0.2–5 g/dl; the temperature 30°C, and the molecular weights M_r are 6.4 × 10⁴–17 × 10⁴. The dispersion curve of extrapolated intrinsic dynamic viscosity [η′] of samples with M_r > 10⁵ is interpreted in terms of three mechanisms appearing from low to high frequencies: end-over-end rotation, flexural deformation, and side-chain motion. For a sample with M_r < 10⁵, the flexural relaxation disappears and a plateau of [η′] is distinctly observed between rotational and side-chain relaxations. Rotational relaxation times of all the samples obey the Kirkwood–Auer theory. The strong concentration dependence of rotational relaxation time is explained by collisions of molecules rather than association. Flexural relaxation times calculated from a theory by assuming the persistence length as 1200 Å are consistent with observed dispersion curves of [η′].     

Deuteration and solvent composition effects in the helix–coil transition of poly-γ-beiizyl-L-glutamate

The effects of deuteration and of changes in solvent composition on the thermo dynamics of the helix–coil transition have been studied by calorimetric and optical measurements in the poly-γ-benzyl-L -glutamate–dichloroacetic acid–1,2-dichloro-ethanc system. For a given solvent composition, deuteration of the polypeptide and of the acid lowers the transition temperature T_c, while an increase in the volume fraction of acid in the solvent raises T_c. A rise in T_c is accompanied by a decrease in both the van't Hoff and the calorimetric heats of transition, but at different rates. The result is a temperature dependency in the Zimm-Bragg cooperation parameter σ. Possible causes of this result and its implications are discussed.     

Proton magnetic resonance studies on conformation and association of oligo-γ-benzyl-L-glutamates in solution

The proton magnetic resonance spectra of o-nitrophenylthio-tetra- and hexa-γ-benzyl-L -glutamate ethylamides have been measured at different concentrations in CDCl₃ and CD₂₂C1. The NH and α-CH resonances of the tetrapeptide show downfield shifts with increasing concentration, accompanying disappearance of their fine structure and line broadening. The apparent feature of chemical shifts against concentration is sigmoidal, and it can be interpreted by assuming the presence of a step or more of association–dissociation equilibria of tetrapeptide. With increasing concentration, small aggregates are formed by intermolecular hydrogen bonding, the size of which is not sufficiently large to exhibit critical micelle concentrations. In contrast to the tetrapeptide, the hexapeptide has constant chemical shifts of the NH and α-CH resonances, independent of concentration, which implies that only the unassociated molecules show observable sharp resonances. In the hexapeptide, the phenyl CH and benzyl CH₂ groups of the side chains exhibit new resonances above certain critical concentrations, indicating the restriction of rotational freedom of the side chains in the aggregated states.