Characterization of the transition state of Lysozyme unfolding. I. Effect of protein-solvent interactions on the transition state

The influence of proline cis-trans isomerization on the kinetics of lysozyme unfolding was examined carefully according to the theory of Hagerman and Baldwin [(1976) Biochemistry 15, 1462–1473]. As a result, the kinetics of lysozyme unfolding was found to follow the two-state transition model well. The temperature dependencies of k_uf and k_f over a wide temperature range showed that ΔC = 0 and ΔC = ?6.7 kJ K^?1 mol^?1 in solutions of different concentrations of GuHCl. The data observed in solutions containing other denaturants also supported the conclusion that ΔC is nearly equal to zero. The activation enthalpies of unfolding (ΔH) were observed at various concentrations of several kinds of denaturants. They were independent of species and concentrations of denaturants ΔH = 200 kJ mol^?1). These facts indicate that the aspect of interaction between protein and different kinds of solvent molecules varies only slightly during the unfolding to the transition state, that is, the transition state is at compact as the native one. Therefore, it is also suggested that ΔH of 200 kJ mol^?1 is primarily required for the disruption of long-range interactions among different structural domains through a subtle conformational change. We compared the effects of several kinds of denaturants on the unfolding rate. The addition of PrOH more remarkably increases the unfolding rate than do other hydrophilic denaturants. This is probably because PrOH molecules can penetrate into the hydrophobic core of lysozyme, but hydrophilic reagents cannot because of the compactness of the transition state.     

Kinetics of ethidium's intercalation in packaged bacteriophage T7 DNA: effects of DNA packing density

The kinetics of ethidium's intercalative binding to DNA packaged in bacteriophage T7 and two T7 deletion mutants have been determined, using enhancement of fluorescence to quantitate binding. At a constant ethidium concentration, the results can be described as first-order binding with two different rate constants, k (= k₁ + k_?1) and k (= k₂ + k_?2). The larger rate constant (k) was at least four orders of magnitude smaller than the comparable first-order forward rate constant for binding to DNA released from its capsid. At 25°C values of k decreased as the amount of DNA packaged per internal volume increased. This latter observation indicates that the rate of ethidium's binding to packaged T7 DNA is limited by an event that occurs inside of the DNA-containing region of T7, not by the crossing of T7 capsid's outer shell. Arrhenius plots of kM are biphasic, indicating a transition for packaged DNA at a temperature of 20°C. The data indicate that k s are limited by either sieving of ethidium during its passage through the packaged DNA or subsequent hindered intercalation.     

Application of the nearest-neighbor Ising model to the helix-coil transition of polypeptides in mixed organic solvents.

Using the formalism of nearest-neighbor Ising model and assuming that the allowed states for a monomeric unity of a polypeptide chain in solutions containing strong acids are E (helix), C (coil), and CS (solvent-bonded coil), the partition function of the system was deduced analytically. Equations were obtained which permitted the prediction of the characteristic thermodynamic behavior of the helix–coil transition under these conditions. These equations were used to examine critically the possible correlations between experimental data obtained using different techniques. Particular attention was devoted to quantities called “transition enthalpies,” obtained from the slope of the transition curves at the point where the helix fraction is one-half (ΔH), or for measurements of the heat of solution of the polymer over the total range of solvent composition (ΔH), or from heat capacity measurements taken at various temperatures (ΔH). Literature data of ΔH(j = opt, sol, cal) for the system poly-γ-benzyl-L -glutamate in mixtures of dichloroacetic acid and 1,2-dichloroethane were carefully analyzed.     

Bromophenol red as a probe of lysozyme-active site environment: a temperature-jump study.

Spectrophotometric techniques have been employed to study the binding of bromophenol red (BPR) to hen egg white lysozyme and the consequent inhibition of enzyme activity. Experimental evidence is given from the dye binding studies in the presence of hexasaccharide and from the studies on activity that BPR binds at a site outside the proposed cleft region (A–F) in such a way that it inhibits the lytic activity towards cell walls but does not inhibit the activity towards hexasaccharide. These observations are consistent with the kinetics of binding [studied using temperature-jump (T-jump)] in the presence of Co⁺⁺ or chitotriose in large concentrations and the experiments with acetylated lysozyme which suggest that the binding site of BPR is closer to a lysine residue near the cleft. It is suggested that the binding site of BPR could be important in positioning the peptide segment of the cell walls, which are cleaved in the cleft. Evidence for the statement that this binding takes place at least by a two-step process, in which the bimolecular step is followed by a slower monomolecular step, is given from the observations of two types of 1:1 complexes at 24°C in equilibrium studies and from the concentration dependence of the relaxation observed at 605 nm in the T-jump experiments. The binding process is examined by analyzing the T-jump data obtained between 18 and 33°C in the pH range 5.2–9.2 and ionic strength 0.01–01. The ionic strength and pH dependences of the equilibrium constant associated with the bimolecular step k₂/k₁ and the forward rate constant associated with monomolecular step k₃ have been given as evidence for the suggestion that a Coulombic interaction is involved in the first step of binding. However, the final state of binding is hydrophobic in nature. The enthalpy of activation ΔH and the entropy of activation ΔS associated with k_f[= k₃(k₁/k₂)] showed compensation behavior with pH variation, with maxima around pH ～ 7.5 in H₂O. This has been interpreted as a maximal disordering of water structure in a region of the enzyme at this pH during the monomolecular step. However, the binding of chitotriose or Co⁺⁺ in the cleft reduces the ΔH and ΔS associated with the monomolecular step of BPR binding, probably by disordering the structured water during their binding in the cleft. The differences in the kinetic parameters obtained in H₂O and in D₂O probably arise due to subtle differences in the conformation of the enzyme in the two solvents and apart from isotope effects. The correlation between the pH (or pD) dependence of the “intrinsic activity” towards cell walls and ΔH or ΔS indicates that ordered water structure could be playing a role in controlling the catalytic activity. It is also suggested that this factor is associated with the rate constant k₃^s of the monomolecular step leading to the formation of the final bound state of the substrate in cell lysis, which is also a factor controlling k_cat.     

Conformation of poly(L-arginine). I. Effects of anions

The conformational transition of poly(L -agrignine) by binding with various mono-, di-, and polyvalent anions, especially with SO, was studied by CD measurements. The intramolecular random coil-to-α-helix conformational transition and the subsequent transition to the β-turn-like structure was caused by binding with SO. The binding data obtained from equilibrium dialysis experiments showed that the α-helical conformation of poly(L -arginine) is stabilized at a 1:3 stoichiometric ratio of bound SO to arginine residue; at higher free SO concentrations, the α-helix converts to the β-turn-like structure accompanied by a decrease in amount of bound SO. The same conformaitonal transition of poly(L -arginine) also occurred in the solutions of other divalent anions (SO, CO, and HPO) and polyvalent anions (P₂O, P₃O). Among the monovalent anions examined, CIO and dodecyl sulfate were effective in including α-helical conformation, while the other monovalent anions (OH^?, Cl^?, F^?, H₂PO, HCO and CIO) failed to induce poly(L -arginine) to assume the α-helical conformation. Thus, we noticed that, except for dodecyl sufate, the terahedral structure is common to the α-helix-forming anions. A well-defined model to the α-helical poly(L -arginine)/anion complex was proposed, in which both the binding stoichiometry of anions to the arginine residue and the tetrahedral structure of anions were taken into consideration. Based on these results, it was concluded that the tetrahedral-type anions stabilize the α-helical conformation of poly(L -arginine) by crosslinking between two guanidinium groups of nearby side chains on the same α-helix through the ringed structures stabilized by hydrogen bonds as well as by electrostatic interaction. Throughout the study it was noticed that the structural behavior of poly(L -arginine) toward anions is distinct from that of poly(L -lysine).     

Conformational analysis of acetyl-L-phenylalanine p-acetyl and p-valeryl anilides

Empirical force-field calculations and ir and ¹H-nmr spectra indicate that five-membered (C₅) and seven-membered (C) hydrogen-bonded rings are the preferred conformations of acetyl-L -Phe p-acetyl and p-valeryl anilides in nonpolar media. The C₅/C ratio was found to be dependent on the dryness of the solute and the solvent. This fact and the results from conformational-energy calculations suggest that a molecule of water participates in the stabilization of the C conformation.     

On the blue color of triiodide ions in starch and starch fractions. I. Characterization and assignment of absorption and circular dichroism spectra of triiodide ions in amylose

Four fundamental Raman lines were observed at 159, 111, 55 and 27 cm^-1 corresponding to the I bound (I) in amyloses with DP from 20 to 100, regardless of the degree of polymerization of I and the excitation wavelength. The spectral resolution was based on the molar extinction coefficient and molar ellipticity spectra of I. Eight bands, named, S₁, S₂, ?, S₈ from long to short wavelength, were isolated. These were found regardless of the DP. By a resonance excitation Raman study, the characteristics of S₃ and S₄, comprising the shoulder around 480 nm, were found to be different from those of S₁ and S₂, comprising the blue band. The assignment of the spectra was based on the electronic states of the monomeric I in the exciton-coupled dimeric unit. It was concluded that the blue band (S₁,S₂) belonged to the long-axis transitions and the shoulder band (S₃,S₄) to the short-axis ones on the monmeric coordinate system.     

Biopolymer–surfactant interaction. I. Kinetics of binding of cetyltrimethyl ammonium bromide with carboxymethyl cellulose (Na Salt)

The kinetics of binding of the cationic surfactant cetyltrimethyl ammonium bromide with the Na salt of carboxymethyl cellulose was studied by the electrometric method using cetyltrimetlyl ammonium⁺ (CTA⁺) ion-selective polyvinyl chloride membrane electrode. The binding process followed the first-order kinetics and occurred in three stages. Its affinity increased with increasing CTA bromide concentration and decreased with ionic strength. The activation process comprised moderate E and ΔH^≠ and negative ΔS^≠ for all three stages with a ΔH^≠ < TδS^≠ trend proving it to be entropy controlled. The ΔG^≠ values followed the trend ΔG < ΔG < ΔG (in accordance with k₁ > k₂ > k₃). The enthalpies (ΔH^≠) and entropies (ΔS^≠) of activation followed a systematic and interdependent trend. The multiple-stage binding kinetics is grossly comparable with the kinetics of binding of proteins to solid surfaces. © 1995 John Wiley & Sons, Inc.     

Thermodynamics of stabilization of RNA pseudoknots by cobalt(III) hexaammine

Equilibrium unfolding (folding) studies reveal that the autoregulatory RNA pseudoknots derived from the bacteriophage T2 and T4 gene 32 mRNAs exhibit significant stabilization by increasing concentrations of divalent metal ions in solution. In this report, the apparent affinities of exchange inert trivalent Co(NH₃) have been determined, relative to divalent Mg²⁺, for the folded, partially folded (K_f), and fully unfolded (K_u) conformations of these molecules. A general nonspecific, delocalized ion binding model was developed and applied to the analysis of the metal ion concentration dependence of individual two‐state unfolding transitions. Trivalent Co(NH₃) was found to associate with the fully folded and partially unfolded pseudoknotted forms of these RNAs with a K_f of 5–8 × 10⁴ M⁻¹ in a background of 0.10 M K⁺, or 3‐ to 5‐fold larger than the K_f obtained for two model RNA hairpins and hairpin unfolding intermediates, and ≈ 40–50‐fold larger than K_f for Mg²⁺. The magnitude of K_f was found to be strongly dependent on the monovalent salt concentration in a manner qualitatively consistent with polyelectrolyte theory, with K_f reaching 1.2 × 10⁵ M⁻¹ in 50 mM K⁺. Two RNA hairpins were found to have affinities for Co(NH₃) and Ru(NH₃) of 1–2 ×10⁴ M⁻¹, or ≈ 15‐fold larger than the K_f of ∼ 1000 M⁻¹ observed for Mg²⁺. Additionally, the K_u of 4,800 M⁻¹ for the trivalent ligands is ≈ 8‐fold larger than the K_u of 600 M⁻¹ observed for Mg²⁺. These findings suggest that the T2 and T4 gene 32 mRNA pseudoknots possess a site(s) for Mg²⁺ and Co(NH₃) binding of significantly higher affinity than a “duplexlike” delocalized ion binding site that is strongly linked to the thermodynamic stability of these molecules. Imino proton perturbation nmr spectroscopy suggests that this site(s) lies near the base of the pseudoknot stem S2, near a patch of high negative electrostatic potential associated with the region where the single loop L1 adenosine crosses the major groove of stem S2. © 1999 John Wiley & Sons, Inc. Biopoly 50: 443–458, 1999     

On the “filterable aggregates and other particles” interpretation of the extraordinary regime of polyelectrolytes

Quasi-elastic light scattering studies on some polyelectrolyte systems exhibit a somewhat “bizarre” behavior in the profile of the apparent diffusion coefficient D_app as a function of the salt concentration C_s. As C_s is decreased, D_app first increases in accordance with polyelectrolyte theories, and then undergoes a precipitous drop in value by over an order of magnitude at a well-defined critical value C_s = C. This “transition” from C_s > C (ordinary) to C_s < C (extraordinary) is referred to as the “ordinary-extraordinary” (o-e) transition. Ghosh, Peitzsch, and Reed [(1992) Biopolymers, Vol. 32, pp. 1105–1122] proposed a “filterable aggregate” (FA) and “other particle” interpretation for the o-e transition and its reversibility in regard to ionic strength changes. The present communication examines in detail the FA model as applied to the o-e transition. It is shown that the FA model fails to account of the established characteristics of the o-e transition. © 1993 John Wiley & Sons, Inc.     

Conformation and folding in histones H1 and H5

Denatured histones H1 and H5 can be readily refolded on salt addition. Their digestion by trypsin leads to limit peptides of about 80 residues having the same nmr and CD spectra as those of the intact parent histones. Scanning microcalorimetry shows that (1) the folded structures of H1 and H5 are located entirely in their limit peptides; (2) both have values of the specific denaturation enthalpy typical for small globular proteins; and that (3) both exhibit a classic “2-state” transition (ΔH = ΔH). The heat-denaturation profiles of H5 measured using intrinsic and extrinsic Cotton effect and side-chain nmr peaks do not coincide at all. Only the intrinsic Cotton effects give a T_m and ΔH close to that from microcalorimetry. We conclude that these proteins exhibit large-scale side-chain motions that precede the macroscopic cooperative transition.     

Heat capacity changes and partial molal heat capacities of some di- and tripeptides in water

Integral enthalpies of solution of several dipeptides and tripeptides in water at low concentrations have been determined at 25 and 35°C. These data have been used to derive the changes in heat capacity on dissolution at infinite dilution ΔC at 30°C. Limiting partial molal heat capacities ΔC have been determined by combining ΔC with C_p2 (heat capacity of pure solid peptides). Using the data on ω-amino acids and these peptides, the partial molal heat capacity of a peptide group ? CONH? was semiquantitatively estimated.     

Apparent molar volumes of some amino acids and peptides in aqueous urea solutions

Densities of solutions of several α-amino acids and peptides in 3 and 6m aqueous urea solvents have been determined at 298.15 K. These data have been used to evaluate the infinite-dilution apparent molar volumes of the solutes and the volume changes due to transfer (V ) of the α-amino acids and peptides at infinite dilution from water to aqueous urea solutions. The sign and magnitude of the V values have been rationalized in the framework of Friedman's cosphere-overlap model. The V values for the glycyl group (? CH₂CONH? ) and alkyl side chains have been estimated.     

Order–Disorder conformation change of xanthan in 0.01M aqueous sodium chloride: Dimensional behavior

Weight-average molecular weights M_w, second virial coefficients, and z-average radii of gyration 〈S²〉 were determined by light scattering as a function of temperature T for four sodium salt samples of xanthan in 0.01M aqueous NaCl, in which the polysaccharide undergoes an order–disorder conformation change with increasing T. The data for 〈S²〉 and M_w at 25 and 80°C, the lowest and highest temperatures studied, confirmed the previous conclusion that the predominant conformation at the former T, i.e., in the ordered state, is a double helix, while that at the latter T, i.e., in the disordered state, is a dimerized coil expanded by electrostatic repulsions between charged groups of the polymer. As T was increased from 25 to 80°C, 〈S²〉 sigmoidally decreased or increased depending on the dimer's molecular weight. This temperature dependence of 〈S²〉 and that determined elsewhere for a high molecular weight sample were found to be described almost quantitatively by a simple dimer model in which the double helix melts from both ends, when the double-helical fraction in the dimer at a given T estimated previously from optical rotation data was used.     

Interchain hydrogen bonds via bound water molecules in the collagen triple helix

If the collagen triple helix is so built as to have one set of NH ? O hydrogen bonds of the type N₃H₃(A) ? O₂(B), then it is possible to have a linkage between N₁H₁(B) and O₁(A) through the intermediary of a water molecule with an oxygen O leading to the formation of the hydrogen bonds N₁(B) ? O and O (A). In the same configuration, another water molecule with an oxygen O can link two earbonyl oxygens of chains A and B forming the hydrogen bonds O O₁(A) and O O₀ (B). The two water oxygens also become receptors at the same time for CH ? O hydrogen bonds. Thus, the neighboring chains in the triple helix are held together by secondary valence bond linkages occurring regularly sit intervals of about 3 Å along the length of the protofibril. The additional water molecules occur on the periphery of the proto-fibril and will contribute their full share towards stabilizing the structure in the solid state. In solution, they will be disturbed by the medium unless they are protected by long side groups. It appears that this type of two-bonded structure, in which one NH ? O bond is to a water molecule, can explain several observations on the stability and hydrogen exchange properties of collagen itself and related synthetic polypeptides. The nature of the water bonds and their strength are found to be better in the one-bonded structure proposed from Madras than in the one having the coordinates of Rich and Crick.     

Collapse of DNA caused by trivalent cations: pH and ionic specificity effects

A comparison of the condensation of T4 phage DNA by spermidine and Co(NH₃) at pH values between 5.1 and 10.2 has been made using quasielastic light scattering to determine translational diffusion coefficients and Stokes radii. Co(NH₃) is more effective than spermidine in causing condensation at all pH, indicating that the differences observed in previous work were not due to pH effects, as might have been inferred from recent theories of intermolecular forces. The DNA particles collapsed with Co(NH₃) are smaller than those obtained with spermidine. The hydrodynamic radius of spermide-collapsed structures decreases slightly with increasing pH, while the size of the Co(NH₃)collapsed structures is almost independent of pH. These results confirm that there are specific ion effects in DNA condensation by oligocations, in addition to the dominant general polyelectrolyte effects.     

Polyiodine units in starch–iodine complex: INDO CI study of spectra and comparison with experiments

The starch–iodine blue complex formation does not involve negatively charged iodine species like I, I, or I; rather, neutral iodine units are involved. The heat of reaction is determined to be about ?110 kJ for every mole of I-I unit in the amylose helix, which suggests that the dissociation of I₂ (binding energy 149 kJ/mol) does not take place during the complex formation. Quantum mechanical (INDO CI) calculations indicate that the linear as well as nonlinear polyiodine units, I₆, with interiodine distance of 3.0 Å are responsible for characteristic absorbance bands of the starch–iodine complex. Based on our previous article [(1989) J. Polym. Sci. A 27 , 4161] and the present studies we identify (C₆H₁₀O₅)_16.5I₆ to be the polymeric unit responsible for the characteristic blue color of the complex.     

The osmolyte trimethylamine‐N‐oxide stabilizes the Fyn SH3 domain without altering the structure of its folding transition state

Trimethylamine‐N‐oxide (TMAO) is a naturally occurring osmolyte that stabilizes proteins against denaturation. Although the impact of TMAO on the folding thermodynamics of many proteins has been well characterized, far fewer studies have investigated its effects on protein folding kinetics. In particular, no previous studies have used Φ‐value analysis to determine whether TMAO may alter the structure of the folding transition state. Here we have measured the effects on folding kinetics of 16 different amino acid substitutions distributed across the structure of the Fyn SH3 domain both in the presence and absence of TMAO. The folding and unfolding rates in TMAO, on average, improved to equivalent degrees, with a twofold increase in the protein folding rate accompanied by a twofold decrease in the unfolding rate. Importantly, TMAO caused little alteration to the Φ‐values of the mutants tested, implying that this compound minimally perturbs the folding transition state structure. Furthermore, the solvent accessibility of the transition state was not altered as reflected in an absence of a TMAO‐induced change in the denaturant β factors. Through TMAO‐induced folding studies, a β factor of 0.5 was calculated for this compound, suggesting that the protein backbone, which is the target of action of TMAO, is 50% exposed in the transition state as compared to the native state. This finding is consistent with the equivalent effects of TMAO on the folding and unfolding rates. Through thermodynamic analysis of mutants, we also discovered that the stabilizing effect of TMAO is lessened with increasing temperature.     

Effects of hydrophobicity and anions on self‐assembly of the peptide EMK16‐II

Effects of hydrophobic and electrostatic interactions on the self‐assembling process of the ionic‐complementary peptide EMK16‐II are investigated by atomic force microscopy imaging, circular dichroism spectra, light scattering, and chromatography. It is found that the hydrophobicity of the peptide promotes the aggregation in pure water even at a very low concentration, resulting in a much lower critical aggregation concentration than that of another peptide, EAK16‐II. The effect of anions in solution with different valences on electrostatic interactions is also important. Monovalent anions (Cl^? and Ac^?) with a proper concentration can facilitate the formation of peptide fibrils, with Cl^? of smaller size being more effective than Ac^? of larger size. However, only small amounts of fibrils, but plenty of large amorphous aggregates, are found when the peptide solution is incubated with multivalent anions, such as SO, C₆H₅O, and HPO. More importantly, by gel filtration chromatography, the citrate anion, which induces a similar effect on the self‐assembling process of EMK16‐II as that of SO and HPO, can interact with two or more positively charged residues of the peptide and reside in the amorphous aggregates. This implies a “salt bridge” effect of multivalent anions on the peptide self‐assembling process, which can interpret a previous puzzle why divalent cations inhibit the formation of ordered nanofibrils of the ionic‐complementary peptides. Thus, our results clarify the important effects of hydrophobic and electrostatic interactions on the self‐assembling process of the ionic‐complementary peptides. These are greatly helpful for us to understand the mechanism of peptides' self‐assembling process and protein folding and aggregation. © 2009 Wiley Periodicals, Inc. Biopolymers 93: 318–329, 2010. This article was originally published online as an acceptedpreprint. The “Published Online” date corresponds to the preprintversion. You can request a copy of the preprint by emailing the Biopolymers editorial office at biopolymers@wiley.com