Effects of the phenylalanine-22----leucine, glutamic acid-49----methionine, glycine-234----aspartic acid, and glycine-234----lysine mutations on the folding and stability of the alpha subunit of tryptophan synthase from Escherichia coli

Mixed Macromolecular Crowding: A Protein and Solvent Perspective

In the living cell, biomolecules perform their respective functions in the presence of not only one type of macromolecules but rather in the presence of various macromolecules with different shapes and sizes. In this study, we have investigated the effects of five single macromolecular crowding agents, Dextran 6, Dextran 40, Dextran 70, Ficoll 70, and PEG 8000 and their binary mixtures on the modulation in the domain separation of human serum albumin using a Förster resonance energy transfer-based approach and the translational mobility of a small fluorescent probe fluorescein isothiocyanate (FITC) using fluorescence correlation spectroscopy (FCS). Our observations suggest that mixed crowding induces greater cooperativity in the domain movement as compared to the components of the mixtures. Thermodynamic analyses of the same provide evidence of crossovers from enthalpy-based interactions to effects dominated by hard-sphere potential. When compared with those obtained for individual crowders, both domain movements and FITC diffusion studies show significant deviations from ideality, with an ideal solution being considered to be that arising from the sum of the contributions of those obtained in the presence of individual crowding agents. Considering the fact that domain movements are local (on the order of a few angstroms) in nature while translational movements span much larger lengthscales, our results imply that the observed deviation from simple additivity exists at several possible levels or lengthscales in such mixtures. Moreover, the nature and the type of deviation not only depend on the identities of the components of the crowder mixtures but are also influenced by the particular face of the serum protein (either the domain I-II or the domain II-III face) that the crowders interact with, thus providing further insights into the possible existence of microheterogeneities in such solutions.

Pierced Lasso Bundles are a new class of knot-like motifs

A four-helix bundle is a well-characterized motif often used as a target for designed pharmaceutical therapeutics and nutritional supplements. Recently, we discovered a new structural complexity within this motif created by a disulphide bridge in the long-chain helical bundle cytokine leptin. When oxidized, leptin contains a disulphide bridge creating a covalent-loop through which part of the polypeptide chain is threaded (as seen in knotted proteins). We explored whether other proteins contain a similar intriguing knot-like structure as in leptin and discovered 11 structurally homologous proteins in the PDB. We call this new helical family class the Pierced Lasso Bundle (PLB) and the knot-like threaded structural motif a Pierced Lasso (PL). In the current study, we use structure-based simulation to investigate the threading/folding mechanisms for all the PLBs along with three unthreaded homologs as the covalent loop (or lasso) in leptin is important in folding dynamics and activity. We find that the presence of a small covalent loop leads to a mechanism where structural elements slipknot to thread through the covalent loop. Larger loops use a piercing mechanism where the free terminal plugs through the covalent loop. Remarkably, the position of the loop as well as its size influences the native state dynamics, which can impact receptor binding and biological activity. This previously unrecognized complexity of knot-like proteins within the helical bundle family comprises a completely new class within the knot family, and the hidden complexity we unraveled in the PLBs is expected to be found in other protein structures outside the four-helix bundles. The insights gained here provide critical new elements for future investigation of this emerging class of proteins, where function and the energetic landscape can be controlled by hidden topology, and should be take into account in ab initio predictions of newly identified protein targets.

Increased folding stability of TEM-1 beta-lactamase by in vitro selection

In vitro selections of stabilized proteins lead to more robust enzymes and, at the same time, yield novel insights into the principles of protein stability. We employed Proside, a method of in vitro selection, to find stabilized variants of TEM-1 beta-lactamase from Escherichia coli. Proside links the increased protease resistance of stabilized proteins to the infectivity of a filamentous phage. Several libraries of TEM-1 beta-lactamase variants were generated by error-prone PCR, and variants with increased protease resistance were obtained by raising temperature or guanidinium chloride concentration during proteolytic selections. Despite the small size of phage libraries, several strongly stabilizing mutations could be obtained, and a manual combination of the best shifted the profiles for thermal unfolding and temperature-dependent inactivation of beta-lactamase by almost 20 degrees C to a higher temperature. The wild-type protein unfolds in two stages: from the native state via an intermediate of the molten-globule type to the unfolded form. In the course of the selections, the native protein was stabilized by 27 kJ mol(-1) relative to the intermediate and the cooperativity of unfolding was strongly increased. Three of our stabilizing replacements (M182T, A224V, and R275L) had been identified independently in naturally occurring beta-lactamase variants with extended substrate spectrum. In these variants, they acted as global suppressors of destabilizations caused by the mutations in the active site. The comparison between the crystal structure of our best variant and the crystal structure of the wild-type protein indicates that most of the selected mutations optimize helices and their packing. The stabilization by the E147G substitution is remarkable. It removes steric strain that originates from an overly tight packing of two helices in the wild-type protein. Such unfavorable van der Waals repulsions are not easily identified in crystal structures or by computational approaches, but they strongly reduce the conformational stability of a protein.

Napin from Brassica juncea: thermodynamic and structural analysis of stability

The napin from Brassica juncea, oriental mustard, is highly thermostable, proteolysis resistant and allergenic in nature. It consists of two subunits - one small (29 amino acid residues) and one large (86 amino acids residues) - held together by disulfide bonds. The thermal unfolding of napin has been followed by differential scanning calorimetry (DSC) and circular dichroism (CD) measurements. The thermal unfolding is characterized by a three state transition with T(M1) and T(M2) at 323.5 K and 335.8 K, respectively; DeltaC(P1) and DeltaC(P2) are 2.05 kcal mol(-1) K(-1) and 1.40 kcal mol(-1) K(-1), respectively. In the temperature range 310-318 K, the molecule undergoes dimerisation. Isothermal equilibrium unfolding by guanidinium hydrochloride also follows a three state transition, N <_-_-> I <_-_-> U with DeltaG(1H2O) and DeltaG(2H2O) values of 5.2 kcal mol(-1) and 5.1 kcal mol(-1) at 300 K, respectively. Excess heat capacity values obtained, are similar to those obtained from DSC measurements. There is an increase in hydrodynamic radius from 20 A to 35.0 A due to unfolding by guanidinium hydrochloride. In silico alignment of sequences of napin has revealed that the internal repeats (40%) spanning residues 31 to 60 and 73 to 109 are conserved in all Brassica species. The internal repeats may contribute to the greater stability of napin. A thorough understanding of the structure and stability of these proteins is essential before they can be exploited for genetic improvements for nutrition.

A tightly packed hydrophobic cluster directs the formation of an off-pathway sub-millisecond folding intermediate in the alpha subunit of tryptophan synthase, a TIM barrel protein

Protein misfolding is now recognized as playing a crucial role in both normal and pathogenic folding reactions. An interesting example of misfolding at the earliest state of a natural folding reaction is provided by the alpha-subunit of tryptophan synthase, a (beta/alpha)(8) TIM barrel protein. The molecular basis for the formation of this off-pathway misfolded intermediate, I(BP), and a subsequent on-pathway intermediate, I1, was probed by mutational analysis of 20 branched aliphatic side-chains distributed throughout the sequence. The elimination of I(BP) and the substantial destabilization of I1 by replacement of a selective set of the isoleucine, leucine or valine residues (ILV) with alanine in a large ILV cluster external-to-the-barrel and spanning the N and C termini (cluster 2) implies tight-packing at most sites in both intermediates. Differential effects on I(BP) and I1 for replacements in alpha3, beta4 and alpha8 at the boundaries of cluster 2 suggest that their incorporation into I1 but not I(BP) reflects non-native folds at the edges of the crucial (beta/alpha)(1-2)beta(3) core in I(BP). The retention of I(BP) and the smaller and consistent destabilization of both I(BP) and I1 by similar replacements in an internal-to-the-barrel ILV cluster (cluster 1) and a second external-to-the-barrel ILV cluster (cluster 3) imply molten globule-like packing. The tight packing inferred, in part, for I(BP) or for all of I1 in cluster 2, but not in clusters 1 and 3, may reflect the larger size of cluster 2 and/or the enhanced number of isoleucine, leucine and valine self-contacts in and between contiguous elements of secondary structure. Tightly packed ILV-dominated hydrophobic clusters could serve as an important driving force for the earliest events in the folding and misfolding of the TIM barrel and other members of the (beta/alpha)(n) class of proteins.

A Stable Disulfide-free Gene-3-protein of Phage fd Generated by In vitro Evolution

Disulfide bonds provide major contributions to the conformational stability of proteins, and their cleavage often leads to unfolding. The gene-3-protein of the filamentous phage fd contains two disulfides in its N1 domain and one in its N2 domain, and these three disulfide bonds are essential for the stability of this protein. Here, we employed in vitro evolution to generate a disulfide-free variant of the N1-N2 protein with a high conformational stability. The gene-3-protein is essential for the phage infectivity, and we exploited this requirement for a proteolytic selection of stabilized protein variants from phage libraries. First, optimal replacements for individual disulfide bonds were identified in libraries, in which the corresponding cysteine codons were randomized. Then stabilizing amino acid replacements at non-cysteine positions were selected from libraries that were created by error-prone PCR. This stepwise procedure led to variants of N1-N2 that are devoid of all three disulfide bonds but stable and functional. The best variant without disulfide bonds showed a much higher conformational stability than the disulfide-containing wild-type form of the gene-3-protein. Despite the loss of all three disulfide bonds, the midpoints of the thermal transitions were increased from 48.5 degrees C to 67.0 degrees C for the N2 domain and from 60.0 degrees C to 78.7 degrees C for the N1 domain. The major loss in conformational stability caused by the removal of the disulfides was thus over-compensated by strongly improved non-covalent interactions. The stabilized variants were less infectious than the wild-type protein, probably because the domain mobility was reduced. Only a small fraction of the sequence space could be accessed by using libraries created by error-prone PCR, but still many strongly stabilized variants could be identified. This is encouraging and indicates that proteins can be stabilized by mutations in many different ways.

Pro-sequence and Ca2+-binding: Implications for Folding and Maturation of Ntn-hydrolase Penicillin Amidase from E.coli

Penicillin amidase (PA) is a bacterial periplasmic enzyme synthesized as a pre-pro-PA precursor. The pre-sequence mediates membrane translocation. The intramolecular pro-sequence is expressed along with the A and B chains but is rapidly removed in an autocatalytic manner. In extensive studies we show here that the pro-peptide is required for the correct folding of PA. Pro-PA and PA unfold via a biphasic transition that is more pronounced in the case of PA. According to size-exclusion chromatography and limited proteolysis experiments, the inflection observed in the equilibrium unfolding curves corresponds to an intermediate in which the N-terminal domain (A-chain) still possesses native-like topology, whereas the B-chain is unfolded to a large extent. In a series of in vitro experiments with a slow processing mutant pro-PA, we show that the pro-sequence in cis functions as a folding catalyst and accelerates the folding rate by seven orders of magnitude. In the absence of the pro-domain the PA refolds to a stable inactive molten globule intermediate that has native-like secondary but little tertiary structure. The pro-sequence of the homologous Alcaligenes faecalis PA can facilitate the folding of the hydrolase domain of Escherichia coli PA when added in trans (as a separate polypeptide chain). The isolated pro-sequence has a random structure in solution. However, difference circular dichroism spectra of native PA and native PA with pro-peptide added in trans suggest that the pro-sequence adopts an alpha-helical conformation in the context of the mature PA molecule. Furthermore, our results establish that Ca2+, found in the crystal structure, is not directly involved in the folding process. The cation shifts the equilibrium towards the native state and facilitates the autocatalytic processing of the pro-peptide.

Structures of wild-type and P28L/Y173F tryptophan synthase alpha-subunits from Escherichia coli

The alpha-subunit of tryptophan synthase (alphaTS) catalyzes the cleavage of indole-3-glycerol phosphate to glyceraldehyde-3-phosphate and indole, which is used to yield the amino acid tryptophan in tryptophan biosynthesis. Here, we report the first crystal structures of wild-type and double-mutant P28L/Y173F alpha-subunit of tryptophan synthase from Escherichia coli at 2.8 and 1.8A resolution, respectively. The structure of wild-type alphaTS from E. coli was similar to that of the alpha(2)beta(2) complex structure from Salmonella typhimurium. As compared with both structures, the conformational changes are mostly in the interface of alpha- and beta-subunits, and the substrate binding region. Two sulfate ions and two glycerol molecules per asymmetric unit bind with the residues in the active sites of the wild-type structure. Contrarily, double-mutant P28L/Y173F structure is highly closed at the window for the substrate binding by the conformational changes. The P28L substitution induces the exposure of hydrophobic amino acids and decreases the secondary structure that causes the aggregation. The Y173F suppresses to transfer a signal from the alpha-subunit core to the alpha-subunit surface involved in interactions with the beta-subunit and increases structural stability.

Involvement of single residue tryptophan 548 in the quaternary structural stability of pigeon cytosolic malic enzyme

Pigeon cytosolic malic enzyme has a double dimer quaternary structure with three tryptophanyl residues in each monomer distributed in different structural domains. The enzyme showed a three-state unfolding phenomenon upon increasing the urea concentration (Chang, H. C., Chou, W. Y., and Chang, G. G. (2002) J. Biol. Chem. 277, 4663-4671). At urea concentration of 4-4.5 m, where the intermediate form was detected, the enzyme existed as partially unfolded dimers, which were easily polymerized. Mn2+ provided full protection against the polymerization. To further characterize this phenomenon, three mutants of the enzyme (W129, W321, and W548), each with only one tryptophanyl residue left, were constructed. All these mutants were successfully overexpressed in Escherichia coli cells and purified to homogeneity. Changes in the circular dichroism spectra of all mutants revealed a three-state urea-unfolding process in the absence of Mn2+. In the presence of 4 mm Mn2+, W548 and wild type (WT) enzymes shifted to monophasic, while W129 and W321 were still biphasic. Similar results were obtained from the fluorescence spectral changes, except for W321, which showed monophasic denaturation curve with or without Mn2+. Analytical ultracentrifugation analysis indicated that the mutant enzymes were polymerized at 4.5 m urea, and Mn2+ provided protective effect on W548 and WT enzymes only. Other mutants with mutated Trp-548 polymerized at 4.5 m urea in the absence or presence of 4 mm Mn2+. The above results indicate that a single residue, Trp-548, in the subunit interface region, is responsible for the integrity of the quaternary structure of the pigeon cytosolic malic enzyme.

Evolutionary stabilization of the gene-3-protein of phage fd reveals the principles that govern the thermodynamic stability of two-domain proteins

The gene-3-protein (G3P) of filamentous phage is essential for their propagation. It consists of three domains. The CT domain anchors G3P in the phage coat, the N2 domain binds to the F pilus of Escherichia coli and thus initiates infection, and the N1 domain continues by interacting with the TolA receptor. Phage are thus only infective when the three domains of G3P are tightly linked, and this requirement is exploited by Proside, an in vitro selection method for proteins with increased stability. In Proside, a repertoire of variants of the protein to be stabilized is inserted between the N2 and the CT domains of G3P. Stabilized variants can be selected because they resist cleavage by a protease and thus maintain the essential linkage between the domains. The method is limited by the proteolytic stability of G3P itself. We improved the stability of G3P by subjecting the phage without a guest protein to rounds of random in vivo mutagenesis and proteolytic Proside selections. Variants of G3P with one to four mutations were selected, and the temperature at which the corresponding phage became accessible for a protease increased in a stepwise manner from 40 degrees C to almost 60 degrees C. The N1-N2 fragments of wild-type gene-3-protein and of the four selected variants were purified and their stabilities towards thermal and denaturant-induced unfolding were determined. In the biphasic transitions of these proteins domain dissociation and unfolding of N2 occur in a concerted reaction in the first step, followed by the independent unfolding of domain N1 in the second step. N2 is thus less stable than N1, and it unfolds when the interactions with N1 are broken. The strongest stabilizations were caused by mutations in domain N2, in particular in its hinge subdomain, which provides many stabilizing interactions between the N1 and N2 domains. These results reveal how the individual domains and their assembly contribute to the overall stability of two-domain proteins and how mutations are optimally placed to improve the stability of such proteins.

Fluorescence and folding properties of Tyr mutant tryptophan synthase alpha-subunits from Escherichia coli

The fluorescence of tyrosine has been used to monitor a folding process of tryptophan synthase alpha-subunit from Escherichia coli, because this protein has 7 tyrosines, but not tryptophan. Here to assess the contribution of each Tyr to fluorescence properties of this protein during folding, mutant proteins in which Tyr was replaced with Phe were analyzed. The result shows that a change of Tyr fluorescence occurring during folding of this protein is contributed to approximately 40% each by Tyr(4) and Tyr(115), and to the remaining approximately 20% by Tyr(173) and Tyr(175). Y173F and Y175F mutant proteins showed an increase in their fluorescence intensity by approximately 40% and approximately 10%, respectively. These increases appear to be due to multiple effects of increased hydrophobicity, quenching effect of nearby residue Glu(49), and/or energy transfer between Tyrs. Two data for Y173F alpha-subunit of urea-induced unfolding equilibrium monitored by UV and fluorescence were different. This result, together with ANS binding and far UV CD, shows that folding intermediate(s) of Y173F alpha-subunit, contrary to that of wild-type, may contain self-inconsistent properties such as more buried hydrophobicity, highly quenched fluorescence, and different dependencies on urea of UV absorbance, suggesting an ensemble of heterogeneous structures.

Parallel channels and rate-limiting steps in complex protein folding reactions: prolyl isomerization and the alpha subunit of Trp synthase, a TIM barrel protein

A kinetic folding mechanism for the alpha subunit of tryptophan synthase (alphaTS) from Escherichia coli, involving four parallel channels with multiple native, intermediate and unfolded forms, has recently been proposed. The hypothesis that cis/trans isomerization of several Xaa-Pro peptide bonds is the source of the multiple folding channels was tested by measuring the sensitivity of the three rate-limiting phases (tau(1), tau(2), tau(3)) to catalysis by cyclophilin, a peptidyl-prolyl isomerase. Although the absence of catalysis for the tau(1) (fast) phase leaves its assignment ambiguous, our previous mutational analysis demonstrated its connection to the unique cis peptide bond preceding proline 28. The acceleration of the tau(2) (medium) and tau(3) (slow) refolding phases by cyclophilin demonstrated that cis/trans prolyl isomerization is also the source of these phases. A collection of proline mutants, which covered all of the remaining 18 trans proline residues of alphaTS, was constructed to obtain specific assignments for these phases. Almost all of the mutant proteins retained the complex equilibrium and kinetic folding properties of wild-type alphaTS; only the P217A, P217G and P261A mutations caused significant changes in the equilibrium free energy surface. Both the P78A and P96A mutations selectively eliminated the tau(1) folding phase, while the P217M and P261A mutations eliminated the tau(2) and tau(3) folding phases, respectively. The redundant assignment of the tau(1) phase to Pro28, Pro78 and Pro96 may reflect their mutual interactions in non-random structure in the unfolded state. The non-native cis isomers for Pro217 and Pro261 may destabilize an autonomous C-terminal folding unit, thereby giving rise to kinetically distinct unfolded forms. The nature of the preceding amino acid, the solvent exposure, or the participation in specific elements of secondary structure in the native state, in general, are not determinative of the proline residues whose isomerization reactions can limit folding.

Homodimers of mutant tryptophan synthase alpha-subunits in Escherichia coli

Tryptophan synthase alpha-subunit from Escherichia coli functionally exists as a heterotetramer of alpha(2)beta(2) with beta-subunit. While wild-type and mutant (F139W, T24M/F139W, and T24L/F139W) alpha-subunits were expressed as a monomer from recombinant plasmids in Escherichia coli, T24A/F139W, T24S/F139W, and T24K/F139W mutant alpha-subunits were abnormally expressed as soluble homodimers in addition to monomers. Monomers of dimer-forming mutant alpha-subunits retain high affinity to beta-subunit, high activity in stimulating catalytic activities of beta-subunit, and nearly intact content of secondary structure, indicating that the global structures of these monomers are identical to that of F139W alpha-subunit. However, fluorescence spectra of Trp139 and ANS binding indicate that significant perturbations occur in the mutant proteins. Interestingly, these defective properties of monomers caused by residue replacement were partially repaired by the dimer formation. As a result, it is suggested that dimers may be formed by domain or loop swapping, and that residue 24 may play important role in maintaining on-pathway of alpha-subunit folding.

Involvement of cysteine residues and domain interactions in the reversible unfolding of lipoxygenase-1

Urea-induced unfolding of lipoxygenase-1 (LOX1) at pH 7.0 was followed by enzyme activity, spectroscopic measurements, and limited proteolysis experiments. Complete unfolding of LOX1 in 9 M urea in the presence of thiol reducing or thiol modifying reagents was observed. The aggregation and oxidative reactions prevented the reversible unfolding of the molecule. The loss of enzyme activity was much earlier than the structural loss of the molecule during the course of unfolding, with the midpoint concentrations being 4.5 and 7.0 M for activity and spectroscopic measurements, respectively. The equilibrium unfolding transition could be adequately fitted to a three-state, two-step model (N left arrow over right arrow I left arrow over right arrow U) and the intermediate fraction was maximally populated at 6.3 M urea. The free energy change (DeltaG(H(2)O)) for the unfolding of native (N) to intermediate (I) was 14.2 +/- 0.28 kcal/mol and for the intermediate to the unfolded state (U) was 11.9 +/- 0.12 kcal/mol. The ANS binding measurements as a function of urea concentration indicated that the maximum binding of ANS was in 6.3 M urea due to the exposure of hydrophobic groups; this intermediate showed significant amount of tertiary structure and retained nearly 60% of secondary structure. The limited proteolysis measurements showed that the initiation of unfolding was from the C-terminal domain. Thus, the stable intermediate observed could be the C-terminal domain unfolded with exposed hydrophobic domain-domain interface. Limited proteolysis experiments during refolding process suggested that the intermediate refolded prior to completely unfolded LOX1. These results confirmed the role of cysteine residues and domain-domain interactions in the reversible unfolding of LOX1. This is the first report of the reversible unfolding of a very large monomeric, multi-domain protein, which also has a prosthetic group.

Hydrogen exchange kinetics of proteins in denaturants: a generalized two-process model

The recent progress in measurements on the amide hydrogen exchange (HX) in proteins under varying denaturing conditions, both at equilibrium and in transient relaxation, necessitates the development of a unifying theory which quantitatively relates the HX rates to the conformational energetics of the proteins. We present here a comprehensive kinetic model for the site-specific HX of proteins under varying solvent denaturing conditions based on the two-state protein folding model. The generalized two-process model considers both conformational fluctuations and residual protections, respectively, within the folded and unfolded states of a protein, as well as a global kinetic folding-unfolding transition between the two states. The global transition can be either rapid or slow, depending on the solvent condition for the protein. This novel model is applicable to the traditional equilibrium HX measurements in both EX2 and EX1 regimes, and also the recently introduced transient pulse-labeling HX experiments. A set of simple analytical equations is provided for quantitative interpretation of experimental data. The model emphasizes the use of full time-course of bi-exponential HX kinetics, rather than fitting time-course data to single rate constants, to obtain quantitative information about fluctuating conformers within the folded and unfolded states of proteins. This HX kinetic model naturally unfolds into a simple two-state and two-stage kinetic interpretation for protein folding. It suggests that the various observed intermediates of a protein can be interpreted as dominant isomers of either the folded or the unfolded state under different solvent conditions. This simple, minimalist's view of protein folding is consistent with various recent experimental observations on folding kinetics by HX.

Parallel pathways in the folding of a short-term denatured scFv fragment of an antibody

BACKGROUND

Antibodies are prototypes of multimeric proteins and consist of structurally similar domains. The two variable domains of an antibody (VH and VL) interact through a large hydrophobic interface and can be expressed as covalently linked single-chain Fv (scFv) fragments. The in vitro folding of scFv fragments after long-term denaturation in guanidinium chloride is known to be slow. In order to delineate the nature of the rate-limiting step, the folding of the scFv fragment of an antibody after short-term denaturation has been investigated.

RESULTS

Secondary structure formation, measured by H/D-exchange protection, of a mutant scFv fragment of an antibody after short incubation in 6 M guanidinium chloride was shown to be multiphasic. NMR analysis shows that an intermediate with significant proton protection is observed within the dead time of the manual mixing experiments. Subsequently, the folding reaction proceeds via a biphasic reaction and mass spectrometry analyses of the exchange experiments confirm the existence of two parallel pathways. In the presence of cyclophilin, however, the faster of the two phases vanishes (when followed by intrinsic tryptophan fluorescence), while the slower phase is not significantly enhanced by equimolar cyclophilin.

CONCLUSIONS

The formation of an early intermediate, which shows amide-proton exchange protection, is independent of proline isomerization. Subsequently, a proline cis-trans isomerization reaction in the rapidly formed intermediate, producing 'non-native' isomers, competes with the fast formation of native species. Interface formation in a folding intermediate of the scFv fragment is proposed to prevent the back-isomerization of these prolines from being efficiently catalyzed by cyclophilin.

A folding pathway for betapep-4 peptide 33mer: from unfolded monomers and beta-sheet sandwich dimers to well-structured tetramers

It was recently reported that a de novo designed peptide 33mer, betapep-4, can form well-structured beta-sheet sandwich tetramers (Ilyina E, Roongta V, Mayo KH, 1997b, Biochemistry 36:5245-5250). For insight into the pathway of betapep-4 folding, the present study investigates the concentration dependence of betapep-4 self-association by using 1H-NMR pulsed-field gradient (PFG)-NMR diffusion measurements, and circular dichroism. Downfield chemically shifted alphaH resonances, found to arise only from the well-structured betapep-4 tetramer state, yield the fraction of tetramer within the oligomer equilibrium distribution. PFG-NMR-derived diffusion coefficients, D, provide a means for deriving the contribution of monomer and other oligomer states to this distribution. These data indicate that tetramer is the highest oligomer state formed, and that inclusion of monomer and dimer states in the oligomer distribution is sufficient to explain the concentration dependence of D values for betapep-4. Equilibrium constants calculated from these distributions [2.5 x 10(5) M(-1) for M-D and 1.2 x 10(4) M(-1) for D-T at 313 K] decrease only slightly, if at all, with decreasing temperature indicating a hydrophobically mediated, entropy-driven association/folding process. Conformational analyses using NMR and CD provide a picture where "random coil" monomers associate to form molten globule-like beta-sheet sandwich dimers that further associate and fold as well-structured tetramers. Betapep-4 folding is thermodynamically linked to self-association. As with folding of single-chain polypeptides, the final folding step to well-structured tetramer betapep-4 is rate limiting.

Mutational analysis of the BPTI folding pathway: II. Effects of aromatic-->leucine substitutions on folding kinetics and thermodynamics

The rates of the individual steps in the disulfide-coupled folding and unfolding of eight BPTI variants, each containing a single aromatic to leucine amino acid replacement, were measured. From this analysis, the contributions of the four phenylalanine and four tyrosine residues to the stabilities of the native protein and the disulfide-bonded folding intermediates were determined. While the substitutions were found to destabilize the native protein by 2 to 7 kcal/mol, they had significantly smaller effects on the intermediates that represent the earlier stages of folding, even when the site of the substitution was located within the ordered regions of the intermediates. These results suggest that stabilizing interactions contribute less to conformational stability in the context of a partially folded intermediate than in a fully folded native protein, perhaps because of decreased cooperativity among the individual interactions. The kinetic analysis also provides new information about the transition states associated with the slowest steps in folding and unfolding, supporting previous suggestions that these transition states are extensively unfolded. Although the substitutions caused large changes in the distribution of folding intermediates and in the rates of some steps in the folding pathway, the kinetically-preferred pathway for all of the variants involved intramolecular disulfide rearrangements, as observed previously for the wild-type protein. These results suggest that the predominance of the rearrangement mechanism reflects conformational constraints present relatively early in the folding pathway.

Intestinal fatty acid binding protein: a specific residue in one turn appears to stabilize the native structure and be responsible for slow refolding

The intestinal fatty acid binding protein is one of a class of proteins that are primarily beta-sheet and contain a large interior cavity into which ligands bind. A highly conserved region of the protein exists between two adjacent antiparallel strands (denoted as D and E in the structure) that are not within hydrogen bonding distance. A series of single, double, and triple mutations have been constructed in the turn between these two strands. In the wild-type protein, this region has the sequence Leu 64/Gly 65/Val 66. Replacing Leu 64 with either Ala or Gly decreases the stability and the midpoint of the denaturation curve somewhat, whereas mutations at Gly 65 affect the stability slightly, but the protein folds at a rate similar to wild-type and binds oleate. Val 66 appears not to play an important role in maintaining stability. All double or triple mutations that include mutation of Leu 64 result in a large and almost identical loss of stability from the wild-type. As an example of the triple mutants, we investigated the properties of the Leu 64 Ser/Gly 65 Ala/Val 66 Asn mutant. As measured by the change in intrinsic fluorescence, this mutant (and similar triple mutants lacking leucine at position 64) folds much more rapidly than wild-type. The mutant, and others that lack Leu 64, have far-UV CD spectra similar to wild-type, but a different near-UV CD spectrum. The folded form of the protein binds oleate, although less tightly than wild-type. Hydrogen/deuterium exchange studies using electrospray mass spectrometry indicate many more rapidly exchangeable amide protons in the Leu 64 Ser/Gly 65 Ala/Val 66 Asn mutant. We propose that there is a loss of defined structure in the region of the protein near the turn defined by the D and E strands and that the interaction of Leu 64 with other hydrophobic residues located nearby may be responsible for (1) the slow step in the refolding process and (2) the final stabilization of the structure. We suggest the possibility that this region of the protein may be involved in both an early and late step in refolding.

Speeding up protein folding: mutations that increase the rate at which Rop folds and unfolds by over four orders of magnitude

BACKGROUND

The dimeric four-helix-bundle protein Rop folds and unfolds extremely slowly. To understand the molecular basis for the slow kinetics, we have studied the folding and unfolding of wild-type Rop and a series of hydrophobic core mutants.

RESULTS

Mutation of the hydrophobic core creates stable, dimeric, and wild-type-like proteins with dramatically increased rates of both folding and unfolding. The increases in rates are dependent upon the number and position of repacked residues within the hydrophobic core.

CONCLUSIONS

Rop folds by a rapid collision of monomers to form a dimeric intermediate with substantial helical content, followed by a slow rearrangement to the final native structure. Rop unfolding is a single extremely slow kinetic phase. The slow steps of both folding and unfolding are dramatically increased by hydrophobic core replacements, suggesting that their main effect is to substantially decrease the energy of the transition state.

Surface point mutations that significantly alter the structure and stability of a protein's denatured state

Significantly different m values (1.9-2.7 kcal mol-1 M-1) were observed for point mutations at a single, solvent-exposed site (T53) in a variant of the B1 domain of streptococcal Protein G using guanidine hydrochloride (GuHCl) as a denaturant. This report focuses on elucidating the energetic and structural implications of these m-value differences in two Protein G mutants, containing Ala and Thr at position 53. These two proteins are representative of the high (m+) and low (m-) m-value mutants studied. Differential scanning calorimetry revealed no evidence of equilibrium intermediates. A comparison of GuHCl denaturation monitored by fluorescence and circular dichroism showed that secondary and tertiary structure denatured concomitantly. The rates of folding (286 S-1 for the m+ mutant and 952 S-1 for the m- mutant) and the rates of unfolding (11 S-1 for m+ mutant and 3 S-1 for the m- mutant) were significantly different, as determined by stopped-flow fluorescence. The relative solvation free energies of the transition states were identical for the two proteins (alpha ++ = 0.3). Small-angle X-ray scattering showed that the radius of gyration of the denatured state (Rgd) of the m+ mutant did not change with increasing denaturant concentrations (Rgd approximately 23 A); whereas, the Rgd of the m- mutant increased from approximately 17 A to 23 A with increasing denaturant concentration. The results indicate that the mutations exert significant effects in both the native and GuHCl-induced denatured state of these two proteins.

Tryptophan-containing alpha-subunits of the Escherichia coli tryptophan synthase. Enzymatic and urea stability properties

Early studies suggested that the Escherichia coli tryptophan synthase alpha-subunit unfolded in a two-step process in which there was a stable intermediate composed of a native alpha-1 folding unit (residues 1-188) and a completely unfolded alpha-2 folding unit (residues 189-268). More recent evidence has indicated that such a structure for the intermediate seems unlikely. In this report, single Trp residues (absent in the wild-type alpha-subunit) are substituted separately for Phe residues at positions 139 (in alpha-1) and 258 (in alpha-2) to produce the F139W, F258W, and F139W/F258W mutant alpha-subunits. The UV absorbance and fluorescence properties of the F139W/F258W double mutant are identical with those of equimolar mixtures of the single mutants, suggesting that the Trp residue at each position can independently report the behavior of its respective folding unit. Each mutant alpha-subunit is wild-type enzymatically, and when UV absorbance is monitored, the urea-induced unfolding of the three tryptophan-containing alpha-subunits is virtually identical to the wild-type protein. These wild-type properties make these proteins attractive candidates for a fluorescence examination of the behavior of the individual folding units and the structure of potential intermediate(s) and as host proteins for the insertion of our existing destabilizing and/or stabilizing mutational alterations.

Thermodynamic properties of the transition state for the rate-limiting step in the folding of the alpha subunit of tryptophan synthase

To gain insight into the physical properties of the transition state for the rate-limiting step in the folding of the alpha subunit of tryptophan synthase from Escherichia coli, the urea dependence of the unfolding reaction was examined as a function of temperature. Consistent with a previous, more limited study [Hurle, M.R., Michelotti, G.A., Crisanti, M.M., & Matthews, C.R. (1987) Proteins 2, 54], the activation entropy for unfolding was found to be negative above 4 M urea. The present study extends this finding to show that both the activation entropy and enthalpy decrease with increasing urea concentrations between 4 and 7.5 M. The change in the heat capacity from the native to the transition state is positive and appears to increase with the denaturant concentration. The urea and temperature dependences of the unfolding rates were analyzed in terms of the denaturant-binding model of Tanford [Tanford, C. (1970) Adv. Protein Chem. 24, 1]. The values for the activation enthalpy and activation entropy of binding are in good agreement with those obtained from a calorimetric study of urea binding to unfolded proteins [Makhatadze, G.I., & Privalov, P.L. (1992) J. Mol. Biol. 226, 491]. These results show that (1) the binding of urea to the transition state of the alpha subunit has thermodynamic properties which are similar to those for urea binding to unfolded proteins, (2) the transition state is distinct from the unfolded conformation and exposes only a fraction of its urea-binding sites to solvent, and (3) the negative value for the activation entropy for unfolding reflects, in part, the ordering of urea on newly exposed surfaces.(ABSTRACT TRUNCATED AT 250 WORDS)

Kinetic characterization of the chemotactic protein from Escherichia coli, CheY. Kinetic analysis of the inverse hydrophobic effect

CheY, the 129 amino acid chemotactic protein from Escherichia coli, is a good model for studying the folding process of the parallel alpha/beta family of proteins. A study of the folding kinetics of CheY using fluorescence and far-UV circular dichroism (CD) stopped-flow measurements is reported. CheY has three prolines, two of them in the trans conformation and one, Pro110, with a cis Lys-Pro peptide bond. This protein presents a unimolecular, but complex, kinetic mechanism that is dominated by a slow phase compatible with a trans-cis isomerization. Mutation of Pro110 to Gly results in the disappearance of this slow phase, indicating that this cis prolyl bond is responsible for it. The slow phase is catalyzed in a very inefficient way by prolyl isomerase, indicating that the cis bond is poorly accessible to the enzyme during refolding. In agreement with this is the fact that the isomerization of the Lys109-Pro110 bond occurs in an intermediate which contains 96% of the native far-UV CD signal and 80% of the native fluorescence signal. Analysis of the unfolded protein with all its prolines in the native conformation shows the existence of a very stable intermediate in the folding reaction. Mutation of a hyperexposed hydrophobic residue, Phe14, to Asn results in an increase in the free energy of unfolding of the protein of approximately 3 kcal mol-1. Kinetic analysis of the unfolding and refolding reactions of this mutant indicates that the major stabilization effect comes from the relative destabilization of the unfolded state and the kinetic intermediate with respect to the transition state, providing kinetic evidence for the inverse hydrophobic effect. This could also indicate the existence of nonnative interactions in folding intermediates.

Unfolding-refolding kinetics of the tryptophan synthase alpha subunit by CD and fluorescence measurements

To elucidate the folding mechanism of the tryptophan synthase alpha subunit from Escherichia coli, the kinetics of the unfolding-refolding were studied by peptidyl circular dichroism (CD) and aromatic fluorescence measurement at pH 7 and 25 degrees C. The reactions were induced by concentration jumps of guanidine hydrochloride (GuHCl). The results can be summarized as follows. (1) The kinetic properties of the unfolding-refolding monitored by CD at 222 nm and aromatic fluorescence coincided with each other, indicating that the changes in the secondary and tertiary structures proceed simultaneously. (2) The unfolding kinetics showed two phases in the range of final GuHCl concentration above 1.8 M. The total amplitudes in the unfolding kinetics accounted for about 100% of the total change. (3) The refolding kinetics also showed two phases in the native condition. The total amplitudes observed in the two phases accounted for only 41% of the total change in maximum, indicating the presence of an undetectable early folding intermediate in the folding process. (4) The fast phases in both the unfolding and refolding were major phases as judged by the magnitudes of the amplitudes. (5) The amplitudes in terms of the CD values at 222 nm for the undetectable early folding intermediate in the refolding kinetics showed little dependence on final GuHCl concentration in the native condition, but depended on final GuHCl concentration in the transition zone, resulting in a similar equilibrium GuHCl unfolding curve. (6) The CD spectrum in the far-UV region for the early folding intermediate was similar to that for the equilibrium unfolding intermediate. (7) It is concluded that the early folding intermediate of the alpha subunit is equivalent to the equilibrium unfolding intermediate, which is assumed to be a molten globule.

Urea-induced unfolding of the alpha subunit of tryptophan synthase: one-dimensional proton NMR evidence for residual structure near histidine-92 at high denaturant concentration

The urea-induced unfolding reaction of the alpha subunit of tryptophan synthase was monitored by examining the chemical shifts and peak areas of the C epsilon protons of the four histidine residues with 1D NMR spectroscopy. In a native base-line region defined by tyrosine absorbance and far-UV circular dichroism spectroscopy, histidine-146 appears to undergo a rapid, local unfolding reaction at increasing denaturant concentrations. As the native form is converted to a previously detected stable intermediate between 2 and 3 M urea [Matthews, C. R., & Crisanti, M. M. (1981) Biochemistry 20, 784], histidines-92 and -146 in the amino folding unit (residues 1-188) and histidines-195 and -244 in the carboxy folding unit (residues 189-268) all experience a change in their environments which is slow on the NMR time scale. The subsequent conversion of this intermediate to a newly detected, stable, partially folded form populated at 5 M urea appears to have no effect on any of the histidines at 25 degrees C when an intermolecular association process involving His-244 is taken into account. Strikingly, a slow exchange process involving only His-92 is observed to begin at 5 M urea where the unfolding transitions monitored by absorbance or far-UV circular dichroism spectroscopy are essentially complete. This residual tertiary structure unfolds in a cooperative fashion as the urea concentration is increased to 8 M.

The sixth Datta Lecture. Protein folding and stability: the pathway of folding of barnase

The pathway of folding of a protein will be completely solved when the structures and energetics of the initial unfolded states, all folding intermediates, all transition states and the final folded state, have been determined. The ultimate goal is to analyse, at the detail of individual residues, the non-covalent interactions that are primarily responsible for dictating secondary and tertiary structure. Until recently, the tools for tackling such a daunting task were quite inadequate, but recent developments in NMR and protein engineering have made it possible to determine crucial features in the folding process. It now seems feasible that sufficient experimental detail will be obtained to provide general principles that govern protein folding and provide the basis for its rigorous theoretical analysis. This lecture will outline the progress and prospects in attainment of the goals as applied to the small ribonuclease, barnase.

Disulfide bond-coupled folding of bovine pancreatic trypsin inhibitor derivatives missing one or two disulfide bonds

The disulfide bond-coupled folding and unfolding mechanism (at pH 8.7, 25 degrees C in the presence of oxidized and reduced dithiothreitol) was determined for a bovine pancreatic trypsin inhibitor mutant in which cysteines 30 and 51 were replaced with alanines so that only two disulfides, between cysteines 14 and 38 and cysteines 5 and 55, remain. Similar studies were made on a chemically-modified derivative of the mutant retaining only the 5-55 disulfide. The preferred unfolding mechanism for the Ala30/Ala51 mutant begins with reduction of the 14-38 disulfide. An intramolecular rearrangement via thiol-disulfide exchange, involving the 5-55 disulfide and cysteines 14 and/or 38, then occurs. At least five of six possible one-disulfide bond species accumulate during unfolding. Finally, the disulfide of one or more of the one-disulfide bond intermediates (excluding that with the 5-55 disulfide) is reduced giving unfolded protein. The folding mechanism seems to be the reverse of the unfolding mechanism; the observed folding and unfolding reactions are consistent with a single kinetic scheme. The rate constant for the rate-limiting intramolecular folding step--rearrangements of other one-disulfide bond species to the 5-55 disulfide intermediate--seems to depend primarily on the number of amino acids separating cysteines 5 and 55 in the unfolded chain. The energetics and kinetics of the mutant's folding mechanism are compared to those of wild-type protein [Creighton, T. E., & Goldenberg, D. P. (1984) J. Mol. Biol. 179, 497] and a mutant missing the 14-38 disulfide [Goldenberg, D. P. (1988) Biochemistry 27, 2481]. The most striking effects are destabilization of the native structure and a large increase in the rate of unfolding.

A model of the molten globule state from molecular dynamics simulations

It is generally accepted that a protein's primary sequence determines its three-dimensional structure. It has proved difficult, however, to obtain detailed structural information about the actual protein folding process and intermediate states. We present the results of molecular dynamics simulations of the unfolding of reduced bovine pancreatic trypsin inhibitor. The resulting partially "denatured" state was compact but expanded relative to the native state (11-25%); the expansion was not caused by an influx of water molecules. The structures were mobile, with overall secondary structure contents comparable to those of the native protein. The protein experienced relatively local unfolding, with the largest changes in the structure occurring in the loop regions. A hydrophobic core was maintained although packing of the side chains was compromised. The properties displayed in the simulation are consistent with unfolding to a molten globule state. Our simulations provide an in-depth view of this state and details of water-protein interactions that cannot yet be obtained experimentally.

Folding kinetics of T4 lysozyme and nine mutants at 12 degrees C

The kinetics of unfolding and refolding of T4 lysozyme and nine of its mutants have been investigated as a function of guanidinium chloride concentration at 12 degrees C. All show simple two-state, first-order kinetics. Two types of mutants were studied: proline-alanine interchanges and substitutions at position 3 with side chains of varying hydrophobicity. Crystal structures are available for seven of the ten proteins. The effect of mutations on the folding kinetics is more pronounced and complex than on equilibrium thermodynamics. The proteins fall into two broad kinetic classes with one class rather close to the wild type. P86A is a mutant with marked changes in kinetics but only a very small change in stability. Since the 86 position is in the middle of an alpha-helix, the indications are that the helix containing an A residue is more stable in the transition state than one containing a P residue. The other mutants are more complicated, with the refolding and unfolding rates unequally affected by the mutations. On the basis of comparisons with other investigations, we conclude that the rate-determining step in the presence of guanidinium chloride is not the same as in aqueous solution and that it most likely precedes it. The indications are that we are studying the formation of a transition intermediate which is destabilized by the denaturant and which resembles the A intermediate of the framework or molten globule models for protein folding.

Role of conserved proline residues in stabilizing tryptophan synthase alpha subunit: analysis by mutants with alanine or glycine

To study the role of Pro residues in the conformation and conformational stability of a protein, nine mutant alpha subunits of tryptophan synthase from Escherichia coli, in which Ala or Gly was substituted for each of six Pro residues (positions 28, 57, 62, 96, 132, and 207) that are conserved in 10 microorganisms, were constructed by means of site-directed mutagenesis. The far-ultraviolet (UV) CD spectra of five mutant alpha subunits with Ala in place of Pro were identical to the spectrum of the wild-type protein, the exception being the mutant at position 207 (P207A). CD values in the far-UV region were less negative for P207A, indicating that the Pro residue at position 207 plays a role in maintaining the intact structure of the alpha subunit. The negative CD values of the Gly mutants examined (P28G, P96G, and P132G) were also decreased. Calorimetric measurements showed that the two mutants at position 28 (P28G and P28A) gave two peaks in the excess heat capacity curve, whereas the wild type and other Pro mutants had only a single peak. The stability of each mutant protein relative to that of the wild type was about the same for P57A, less for P62A and P132A, and markedly decreased for P96A and P207A, which are substituted at less mobile positions. The changes of denaturation entropy (delta delta dS) at the denaturation temperature of the wild-type protein (54.1 degrees C at pH 9.0) were positive for P57A, P62A, and P132A, but negative for P96A, P207A, and P132G.(ABSTRACT TRUNCATED AT 250 WORDS)

Effect of single amino acid substitutions at positions 49 and 60 on the thermal unfolding of the tryptophan synthase alpha subunit from Salmonella typhimurium

We have used circular dichroism measurements to compare the thermal unfolding of the wild type tryptophan synthase alpha subunit from Salmonella typhimurium with that of seven mutant forms with single amino acid replacements at two active site residues. Glutamic acid 49 has been replaced by phenylalanine, glutamine, or aspartic acid. Aspartic acid 60 has been replaced by alanine, aspartic acid, asparagine, or tyrosine. Thermodynamic properties (delta G, delta H, delta S, and Tm) of the wild type and mutant forms have been determined experimentally by measuring the free energy of unfolding as a function of temperature. Increasing the pH from 7.0 to 8.8 decreases the tm of the wild type alpha subunit from 56 to 45 degrees C. The thermal unfolding of the wild type alpha subunit and of six of the seven mutant forms can be described as reversible, two-state transitions. In contrast, the melting curve of a mutant alpha subunit in which aspartic acid 60 is replaced by tyrosine indicates the presence of a folding intermediate which may correspond to a "molten globule." Correlations between our observations and previous folding studies and the X-ray crystallographic structure are presented. Substitution of glutamic acid 49, which is located in the hydrophobic "pit" of an eight-fold alpha/beta barrel, by a hydrophobic phenylalanine residue increases the tm from 56 to 60 degrees C. In contrast, replacement of aspartic acid 60, which is accessible to solvent, results in small reductions in the thermal stability.

Bacillus subtilis levansucrase: amino acid substitutions at one site affect secretion efficiency and refolding kinetics mediated by metals

Studies of the equilibrium between native and denatured forms of wild-type levansucrase showed that the denatured form was predominant at 37 degrees C and pH 7 in the absence of free metal. The shift to the native form was promoted by metal ions such as Fe3+ or Ca2+. This metal-dependent refolding process was not observed in levansucrase variants bearing the amino acid substitution Gly-366----Asp or Gly-366----Val. These variants were only slightly secreted by Bacillus subtilis although their signal sequences were normally cleaved and their exocellular forms stable. In contrast, the Gly-366----Ser variant was secreted at near-normal levels and shared a part of the in vitro refolding properties of the wild-type protein. These differential properties might be related to the ability of the altered region to form a beta-turn structure. We discuss the possible role of metal ions in the coupling of protein folding and secretion.

The tryptophan synthase multienzyme complex: exploring structure-function relationships with X-ray crystallography and mutagenesis

The bifunctional tryptophan synthase alpha 2 beta 2 complex that catalyzes the final two reactions in tryptophan biosynthesis is a classic example of a multienzyme complex that "channels" a metabolic intermediate (indole) between two active sites. The three-dimensional structure of the alpha 2 beta 2 complex from Salmonella typhimurium reveals that the four polypeptide subunits are arranged in an extended alpha beta beta alpha order forming a complex 150 A long. The active sites of the neighboring alpha and beta subunits are separated by about 30 A and appear to be connected by a tunnel, which may facilitate the intramolecular transfer of indole. The active site of the alpha subunit, which is centrally located near one end of an eight-fold alpha/beta barrel structure, contains the sites of most of the missense mutations which were identified as key residues by Yanofsky and colleagues in early genetic studies. Site-directed mutagenesis is being used to replace residues found in the active sites of the alpha and beta subunits in order to probe the mechanism of catalysis. Recombinant DNA technology should also be useful in analyzing protein-protein interaction, protein folding and the channeling phenomenon.

Effect of an engineered disulfide bond on the folding of T4 lysozyme at low temperatures

Equilibrium and kinetic effects on the folding of T4 lysozyme were investigated by fluorescence emission spectroscopy in cryosolvent. To study the role of disulfide cross-links in stability and folding, a comparison was made with a mutant containing an engineered disulfide bond between Cys-3 (Ile-3 in the wild type) and Cys-97, which links the C-terminal domain to the N terminus of the protein [Perry & Wetzel (1984) Science 226, 555]. In our experimental system, stability toward thermal and denaturant unfolding was increased slightly as a result of the cross-link. The corresponding reduced protein was significantly less stable than the wild type. Unfolding and refolding kinetics were carried out in 35% methanol, pH 6.8 at -15 degrees C, with guanidine hydrochloride as the denaturant. Unfolding/refolding of the wild-type and reduced enzyme showed biphasic kinetics both within and outside the denaturant-induced transition region and were consistent with the presence of a populated intermediate in folding. Double-jump refolding experiments eliminated proline isomerization as a possible cause for the biphasicity. The disulfide mutant protein, however, showed monophasic kinetics in all guanidine concentrations studied.