Steady-state kinetics of electron transfer through cytochrome chain of uncoupled submitochondrial particles. II. Influence of pH on kinetics of electron transfer.

pH Dependences of steady-state kinetic parameters of cytochrome chains of submitochondrial particles have been studies. It has been shown that the lifetimes of activated states (tau) of the pairs of cytochromes b leads to c1 and a leads to a3 have different pH dependences; those for the c1 leads to c and c leads to a cytochrome pairs being similar. The rate constants for the non-activated state of the respiratory chains decreased for the b leads to c1 pair and increased for the a leads to a3 pair when the pH value was increased. The values of pK calculated from these dependences for the pairs b leads to c1 and a leads to a3 were 7.2 and 8.9, respectively. It has been supposed that the ratio of activated to non-activated electron carriers may be controlled by the local pH value in the mitochondrial membrane, the latter being dependent upon the rate of electron transfer. The kinetic model based on this assumption allows one to explain the experimental dependences on pH of the rate constants for cytochromes b leads to c, and a leads to a3. The values of the diffusion rate constants for H+ and OH- ions in the mitochondrial membrane estimated from these kinetic data obtained in this study were 10(4)--10(5) s-1 and 10(2)--10(3) s-1, respectively.     

Influence of pH on the steady state kinetics of electron transfer through the cytochrome chain of submitochondrial particles. Kinetic model for regulating the activity of carriers by the local concentration of hydrogen ions in the membrane]

The kinetic parameters of the submitochondrial particles cytochrome chain obtained from steady-state kinetics were studied for pH dependence. The life-times of the activated states (tau) for cytochrome pairs b leads to c1 and a leads to a3 are shown to bear dissimilar dependence on pH of the medium, while for cytochrome pairs c1 leads to c and c leads to a they display practically no pH dependence at all. The rate constants of the non-activated state (alphai-kiCo) decreased for the pair b leads to c1 and increased for a leads to a3 with the increase of pH from 6.5 to 8.5. The apparent pK values obtained therefrom were 7.2 and 8.9, respectively. A kinetic model is proposed suggesting that local pH in the mitochondrial membrane, dependent on the rate of electron transfer, may be a controlling factor for the ratio of activated and non-activated carrier states. The model is in good consistence with the experimental dependences of k'i on V and the pH dependences of alpha2 for b leads to c1 and a leads to a3. It also gives a qualitative prediction for the pH dependences of the ordinate intercepts of the straight lines in l/(k'i--alphai) vs. l/V plots. The rate constants for the diffusion of hydrogen and hydroxyl ions in the membrane are estimated on the basis of our kinetic data to be 10(4)--10(5) s-1 and 10(2)--10(3) s-i, respectively.     

Steady-state kinetics of electron transfer through cytochrome chain of uncoupled submitochondrial particles. II. Influence of pH on kinetics of electron transfer

pH Dependences of steady-state kinetic parameters of cytochrome chains of submitochondrial particles have been studied. It has been shown that the lifetimes of activated states (τ) of the pairs of cytochromes b → c₁ and a → a₃ have different pH dependences; those for the c₁ → c and c → a cytochrome pairs being similar. The rate constants for the non-activated state of the respiratory chains decreased for the b → c₁ pair and increased for the a → a₃ pair when the pH value was increased.The values of pK calculated from these dependences for the pairs b → c₁ and a → a₃ were 7.2 and 8.9, respectively. It has been supposed that the ratio of activated to non-activated electron carriers may be controlled by the local pH value in the mitochondrial membrane, the latter being dependent upon the rate of electron transfer. The kinetic model based on this assumption allows one to explain the experimental dependences on pH of the rate constants for cytochromes b → c, and a → a₃.The values of the diffusion rate constants for H⁺ and OH^? ions in the mitochondrial membrane estimated from these kinetic data obtained in this study weree 10⁴–10⁵ s^?1 and 10²–10³ s^?1, respectively.     

The kinetics and mechanisms of reactions of iron(III) with caffeic acid, chlorogenic acid, sinapic acid, ferulic acid and naringin

The kinetics and mechanisms of the reactions of iron(III) with the hydroxy cinnamic acid based ligands caffeic, chlorogenic, sinapic and ferulic acids and the flavonoid naringin have been investigated in aqueous solution. The mechanisms for caffeic and chlorogenic acid are generally consistent with the formation of a 1:1 complex that subsequently decays through an electron transfer reaction. On reaction with iron(III), ferulic and sinapic acids undergo an electron transfer without the prior formation of any complex. There was no evidence of electron transfer occurring in the complex formed when iron(III) is reacted with naringin. Rate constants for k1 (formation) and k(-1) (dissociation) have been evaluated for the complex formation reactions of [Fe(H2O)6(OH)]2+ with caffeic acid, chlorogenic acid and naringin. Analysis of the kinetic data yielded stability constants, equilibrium constants for protonation of the iron(III) chlorogenic acid complex initially formed, together with the rate constants for complex decomposition through intramolecular electron transfers and in the case of caffeic acid and chlorogenic acid, rate constants for the iron(III) assisted decomposition of the initial complex formed. Some of the suggested mechanisms and calculated rate constants are validated by calculations carried out using global analysis of time dependent spectra.     

Kinetic and equilibrium studies of the reactions of heme-substituted horse heart myoglobins with oxygen and carbon monoxide.

In order to study the effects of chemical modifications of the vinyl groups of heme on oxygen and carbon monoxide binding to myoglobin, apomyoglobins from horse heart were reconstituted with six different hemins with various side chains. Laser flash photolysis experiments of these reconstituted myoglobins showed that the combination rate constants for oxygen (k') and carbon monoxide (l') were closely related to the electron-attractive properties of the side chains. The k' values obtained in 0.1 M potassium phosphate buffer, pH 7.0, at 20 degrees were 0.83 (meso-), 2.4 (deutero-), 1.1 (reconstituted proto-), 1.2 (native proto-), 1.5 (2-formyl-4-vinyl-), 1.9 (2-vinyl-4-formyl-), and 2.7 X 10(7) M-1 S-1 (2,4-diformylmyoglobins), and the corresponding l' values were 2.8, 18, 4.8, 5.1, 7.1, 15, and 35 X 10(5) M-1 S-1, respectively. These rate constants tend to increase as the electron-withdrawing power of the side chains increases, indicating that reduced electron density of the iron atom of heme in myoglobin favors the combination reaction for both oxygen and carbon monoxide. Equilibrium constants (L) between carbon monoxide and various myoglobins were also determined by measuring the partition coefficients (M) between oxygen and carbon monoxide for the myoglobins, and were also found to be closely related to the electronic properties (pK3 of porphyrin) of the heme side chains. The equilibrium association constants for carbon monoxide thus obtained increased with a decrease in pK3 value of the porphyrin. This order was completely opposite to the case of the oxygen binding reaction. The dissociation rate constants for oxygen (k) and carbon monoxide (l) were calculated from the equilibrium and the combination rate constants. The dissociation rate constants showed a similar characteristic to the combination rate constants and increased with the increase in electron attractivity of heme side chains. The concomitant increase in both the combination and dissociation rate constants with increase in electronegativity of the iron atom suggests that these reactions have different rate determining steps, although such a reaction process is contradictory to the generally accepted concept that in a reversible reaction, both on and off reactions proceed through the same transition state. In the on reaction sigma bond formation appears to be dominant, while in the off reaction eta bond break-up is more important.     

2D-SEIRA spectroscopy to highlight conformational changes of the cytochrome c oxidase induced by direct electron transfer

Potentiometric titrations of the cytochrome c oxidase (CcO) immobilized in a biomimetic membrane system were followed by two-dimensional surface-enhanced IR absorption spectroscopy (2D SEIRAS) in the ATR-mode. Direct electron transfer was employed to vary the redox state of the enzyme. The CcO was shown to undergo a conformational transition from a non-activated to an activated state after it was allowed to turnover in the presence of oxygen. Differences between the non-activated and activated state were revealed by 2D SEIRA spectra recorded as a function of potential. The activated state was characterized by a higher number of correlated transitions as well as a higher number of amino acids associated with electron transfer.     

Determining RuBisCO activation kinetics and other rate and equilibrium constants by simultaneous multiple non-linear regression of a kinetic model

The forward and reverse rate constants involved in carbamylation, activation, carboxylation, and inhibition of D-ribulose-1,5-bisphosphate carboxylase/oxygenase (RuBisCO) have been estimated by a new technique of simultaneous non-linear regression of a differential equation kinetic model to multiple experimental data. Parameters predicted by the model fitted to data from purified spinach enzyme in vitro included binding affinity constants for non-substrate CO2 and Mg2+ of 200+/-80 microM and 700+/-200 microM, respectively, as well as a turnover number (k(cat)) of 3.3+/-0.5 s(-1), a Michaelis half-saturation constant for carboxylation (K(M,C)) of 10+/-4 microM and a Michaelis constant for RuBP binding (K(M,RuBP)) of 1.5+/-0.5 microM. These and other constants agree well with previously measured values where they exist. The model is then used to show that slow inactivation of RuBisCO (fallover) in oxygen-free conditions at low concentrations of CO2 and Mg2+ is due to decarbamylation and binding of RuBP to uncarbamylated enzyme. In spite of RuBP binding more tightly to uncarbamylated enzyme than to the activated form, RuBisCO is activated at high concentrations of CO2 and Mg2+. This apparent paradox is resolved by considering activation kinetics and the fact that while RuBP binds tightly but slowly to uncarbamylated enzyme, it binds fast and loosely to activated enzyme. This modelling technique is presented as a new method for determining multiple kinetic data simultaneously from a limited experimental data set. The method can be used to compare the properties of RuBisCO from different species quickly and easily.     

The reversible depletion and reconstitution of a copper ion in Coprinus cinereus laccase followed by spectroscopic techniques

The specific activities of crude and purified Coprinus cinereus laccase preparations could be enhanced by a factor of 10-12 by activation with copper ions. The copper to protein contents of purified non-activated laccase were 2.3 ± 0.1 compared to 3.3 ± 0.1 in purified activated laccase indicating that only a fraction of the laccase can be activated. Purified laccase not activated with copper ions shows in isoelectric focusing four bands in order of decreasing pI in a ratio 1/5/3/1 where only bands I and II had laccase activity. Purified activated laccase showed only three bands (I, II and III) in the ratio 5/4/1 all with some laccase activity. The pH profile of the activity for activated and non-activated laccase showed identical behavior indicating that the active forms were the same. The change in UV-Vis around 330 nm following the depletion and reconstitution of the enzyme combined with activity measurements supports the reversibility of the selective removal and insertion of copper ions at the type 2 site. The circular dichroism spectrum of activated purified laccase has characteristic changes around 350 nm relative to non-activated laccase indicative of changes at the type 2/type 3 sites. The difference between the electron paramagnetic resonance spectra of non-activated and activated C. cinereus laccase indicates that a fraction of the non-activated purified laccase contained a copper(II) signal with a coupling constant between a type 1 and a type 2 copper(II). This electron paramagnetic resonance signal could be explained by an induced asymmetry in the type 3 site due to a missing type 2 copper ion.     

Kinetics and mechanism of reduction of ferricytochrome c by glutathione and L-cysteine: a comparative study

The kinetics and mechanism of the reduction of ferricytochrome c [Cyt c(III)] by substrates namely glutathione (GSH) and L-cysteine (L-cys) have been investigated spectrophotometrically employing [substrate]T > [Cyt c(III)]T. The reaction exhibits first order dependence in [substrate]T and [Cyt c(III)]T. The pseudo-first order rate constant increases with an increase in pH, indicating that the conjugate base form of the HCyt c(III) is a better oxidant than the parent HCyt c(III). The electron transfer rate constants between the oxidants and GSH for both the k1 and k2 paths are found to be greater than that with L-cysteine. Hence, GSH is a better reductant of Cyt c(III) as compared to L-cysteine. A suitable mechanism has been proposed on the basis of experimental findings. The deprotonation constant for HCyt c(III) and the second order rate constants of k1 and k2 paths for the present reaction at 25 degrees C have been determined.     

Ionic strength dependence of the non-physiological electron transfer between flavodoxin and cytochrome c 553 from D. vulgaris

A hypothetical model for the non-physiological electron transfer complex between cytochrome c553 (c553) and the flavodoxin (fld) from the sulphate-reducing bacteria Desulfovibrio vulgaris has been recently published [1] based on rigid-body docking and refined by molecular dynamics. In this study, the functional validity of this model is tested by looking at the role of electrostatics in the non-physiological interprotein electron transfer between the two proteins at different ionic strengths. The results are compared with the electron transfer between fld and cytochrome c from horse heart (hhc). Second-order rate constants (k2) were measured for both non-physiological systems at different ionic strengths: a complex, bell-shaped behaviour is observed for the k2 of the c553/fld redox pair with an optimum rate at I=58 mmol l(-1), whereas under the same conditions the k2 for hhc/fld decreased monotonically with increasing ionic strength. Results from the electron transfer kinetics are rationalised in terms of reorganisational effects of an ensemble of conformations of the electron transfer competent c553/fld complexes, consistent with the published model.     

In Rhodobacter sphaeroides reaction centers, mutation of proline L209 to aromatic residues in the vicinity of a water channel alters the dynamic coupling between electron and proton transfer processes.

The X-ray crystallographic structure of the photosynthetic reaction center from Rhodobacter sphaeroides obtained at high resolution has revealed a number of internal water molecules (Ermler, U., Fritzsch, G., Buchanan, S. K., and Michel, H. (1994) Structure 2, 925-936; Stowell, M. H. B., McPhillips, T. M., Rees, D. C., Soltis, S. M., Abresch, E., and Feher, G. (1997) Science 276, 812-816). Some of them are organized into distinct hydrogen-bonded water chains that connect Q(B) (the terminal quinone electron acceptor of the reaction center) to the aqueous phase. To investigate the role of the water chains in the proton conduction process, proline L209, located immediately adjacent to a water chain, was mutated to the following residues: F, Y, W, E, and T. We have first analyzed the effects of the mutations on the kinetic and thermodynamic properties of the rate constants of the second electron transfer (k(AB)(2)) and of the coupled proton uptake (k(H)+) at the second flash. In all aromatic mutants, k(AB)(2) and k(H)+ are notably and concomitantly decreased compared to the wild-type, while no effect is observed in the other mutants. The temperature dependence of these rates shows activation energy values (DeltaH) similar for the proton and electron-transfer processes in the wild-type and in most of the mutants, except for the L209PW and L209PF mutants. The analysis of the enthalpy factors related to the electron and proton-transfer processes in the L209PF and the L209PW mutants allows to distinguish the respective effects of the mutations for both transfer reactions. It is noteworthy that in the aromatic mutants a substantial increase of the free energies of activation is observed (DeltaG(L209PY) < DeltaG(L209PF) < DeltaG(L209PW)) for both proton and electron-transfer reactions, while in the other mutants, DeltaG is not affected. The salt concentration dependence of k(AB)(2) shows, in the L209PF and L209PW mutants, a higher screening of the protein surface potential experienced by Q(B). Our data suggest that residues F and W in position L209 increase the polarizability of the internal water molecules and polar residues by altering the organization of the hydrogen-bond network. We have also analyzed the rates of the first electron-transfer reaction (k(AB)(1)), in the 100 micros time domain. These kinetics have previously been shown to reflect protein relaxation events possibly including proton uptake events (Tiede, D. M., Vazquez, J., Cordova, J., and Marone, P. M. (1996) Biochemistry 35, 10763-10775). Interestingly, in the L209PF and L209PW mutants, k(AB)(1) is notably decreased in comparison to the wild type and the other mutants, in a similar way as k(AB)(2) and k(H)+. Our data imply that the dynamic organization of this web is tightly coupled to the electron transfer process that is kinetically limited by protonation events and/or conformational rearrangements within the protein.     

Factors modifying equilibrium between activated and non-activated forms of steroid-receptor complexes.

Steroid-receptor complexes formed in concentrated cytosol at low temperature, low ionic strength and neutral pH are unable to bind to nuclei. Various procedures are known to promote their 'activation'. In the present work it is shown that an increase in temperature only enhances the rate of the reaction whereas no change in the equilibrium between activated and non-activated complexes is observed. On the contrary an increase in ionic strength or pH, as well as a removal of a low-molecular-weight inhibitor, not only accelerate the reaction but also increase the concentration of activated complexes at equilibrium. Using two steroids differing 3-fold in their affinity for the receptor, no difference was seen in the effect of the bound steroid on receptor activation. When combining various activation procedures it was observed that they acted independently of each other and additively. In all cases they retained their property of either modifying only the rate of the reaction or both its rate and equilibrium. Using changes in pH, it was also possible to induce shifts in the equilibrium between activated and non-activated complexes. After activation at pH 6.5, a first equilibrium was attained. When the pH was increased to 8 the equilibrium was displaced towards higher concentrations of activated complexes. A lowering of the pH resulted in a reversal of steroid-receptor complexes from the activated to the non-activated state. To clearly establish that this was not due to irreversible damage of the receptor, which would render it unable to bind to nuclei, it was shown that the complexes which had reverted to the non-activated state were still susceptible to activation. Regulatory events may thus exist which, for a given level of hormone and receptor, modulate the concentration of activated steroid-receptor complexes.     

Possible states of photosystem II reaction center and thermoluminescence of the higher plants. I. Analysis of thermoluminescence models and their applicability to the description of experimental data

A method for the deconvolution of experimental glow curves into overlapping bands and determination of the activation energies for these bands is proposed. The model includes the S-states of the water-splitting complex, tyrozine Z and P680 on the donor side, pheophytine, primary and secondary quinone acceptors on the acceptor side, and takes into account the connection between different states of the reaction center complex. The rate constants of forward electron transport and the activation energies of backward reactions of electron transfer in photosystem II reaction center, included into the model, are estimated from the known experimental data using the proposed approach.     

"Oxygen regulation" of the respiratory chain composition in the yeast Debaryomyces hansenii under multiple stress

It was shown that two stress factors, hypoxia and hyperosmotic shock, if applied simultaneously to the yeast Debaryomyces hansenii, display an antagonistic mode of interaction, which results in an increased degree of halophily of this microorganism under microaerobic conditions. Studies of the effects of respiration inhibitors (sodium azide and salicyl hydroxamic acid, SHA) and of the pattern of changes in the composition of the respiratory chain of Debaryomyces hansenii under the stated stress conditions led to the suggestion of three (or four) chains of electron transfer functioning simultaneously in the cell: the classical respiratory chain involving cytochrome-c oxidase, an alternative respiratory chain involving a cyanide- and azide-resistant oxidase, and additional respiratory chains involving oxidases resistant to salt, azide and SHA. Thus, the antagonistic mode of interaction between hypoxia and hyperosmotic shock results from the redirection of the electron flow from the salt-susceptible respiratory systems to the salt-unsusceptible ones encoded by "the hypoxia genes" and activated (induced) under microaerobic conditions.     

EPR study of electron transport in the cyanobacterium Synechocystis sp. PCC 6803: oxygen-dependent interrelations between photosynthetic and respiratory electron transport chains

In this work, we investigated electron transport processes in the cyanobacterium Synechocystis sp. PCC 6803, with a special emphasis focused on oxygen-dependent interrelations between photosynthetic and respiratory electron transport chains. Redox transients of the photosystem I primary donor P700 and oxygen exchange processes were measured by the EPR method under the same experimental conditions. To discriminate between the factors controlling electron flow through photosynthetic and respiratory electron transport chains, we compared the P700 redox transients and oxygen exchange processes in wild type cells and mutants with impaired photosystem II and terminal oxidases (CtaI, CydAB, CtaDEII). It was shown that the rates of electron flow through both photosynthetic and respiratory electron transport chains strongly depended on the transmembrane proton gradient and oxygen concentration in cell suspension. Electron transport through photosystem I was controlled by two main mechanisms: (i) oxygen-dependent acceleration of electron transfer from photosystem I to NADP(+), and (ii) slowing down of electron flow between photosystem II and photosystem I governed by the intrathylakoid pH. Inhibitor analysis of P700 redox transients led us to the conclusion that electron fluxes from dehydrogenases and from cyclic electron transport pathway comprise 20-30% of the total electron flux from the intersystem electron transport chain to P700(+).     

Regulation of the activity of rabbit skeletal muscle phosphorylase kinase by glycogen

The effects of glycogen on the non-activated and activated forms of phosphorylase kinase were studied. It was found that in the presence of glycogen the activity of non-activated kinase at pH 6.8 and 8.2 and that of the activated (in the course of phosphorylation) form are enhanced. The degree of activation depends on glycogen concentration. At saturating concentrations, this enzyme activity increases 2-3-fold; the enzyme affinity for the protein substrate, phosphorylase b, also shows an increase. The polysaccharide has no effect on the activity of phosphorylase kinase stimulated by limited proteolysis. In the presence of glycogen, the rate of autocatalytic phosphorylation of the enzyme is increased. Glycogen stabilizes the enzyme activity upon dilution. The experimental results suggest that the polysaccharide directly affects the phosphorylase kinase molecule. The maximal binding was shown to occur at the enzyme/polysaccharide ratio of 1:10 (w/w) in the presence of Ca2+ and Mg2+.     

A new rapid and simple method to determine the kinetics of electrode reactions of biologically relevant compounds from the half-peak width of the square-wave voltammograms

A new method is introduced to determine the kinetic parameters of electron transfer reactions of biologically important compounds, based on the measurements of the half-peak width (DeltaE(p/2)) of the square-wave voltammograms. A simple surface (diffusionless) redox reaction, and a simple electrode reaction occurring from dissolved state are considered as model systems. In the region of quasireversible electron transfer, the half-peak widths of theoretical square-wave voltammograms are linear functions of the logarithm of the dimensionless kinetic parameter ln(K) that characterizes the rate of the electron transfer reaction. The dimensionless kinetic parameter K is defined as K=k(s)(fD)(-0.5) for the redox reaction taking place from dissolved state, whereas for the surface redox reaction K is defined as K=k(s)/f (k(s) is the standard rate constant of electron transfer, f is the SW frequency, and D is the diffusion coefficient). A set of linear regression equations for the dependences DeltaE(p/2)vs. ln(K) are derived, which can be used for rapid and precise determination of the charge-transfer kinetic parameters. The estimated values for the standard rate constants of various biologically relevant redox systems using this approach are in very good agreement with the experimental values determined by other square-wave voltammetric methods. The square-wave voltammetric half-peak width method can be used as a simple and reliable alternative to other voltammetric methods developed for the kinetic characterization of electron transfer rates.     

Electron transfer between flavodoxin semiquinone and c-type cytochromes: correlations between electrostatically corrected rate constants, redox potentials, and surface topologies

We have measured the ionic strength dependence of the rate constants for electron transfer from the semiquinone of Clostridium pasteurianum flavodoxin to 12 c-type cytochromes and several inorganic oxidants using stopped-flow methodology. The experimental data were fit quite well by an electrostatic model that represents the interaction domains as parallel disks with a point charge equal to the charge within this region of the protein. The analysis provides an evaluation of the electrostatic interaction energy and the rate constant at infinite ionic strength (k affinity). The electrostatic charge on the oxidant within the interaction site can be obtained from the electrostatic energy, and for most of those reactants for which structures are available, the results are in good agreement with expectation. The k affinity values were found to correlate with redox potential differences, as expected from the theory of adiabatic (or nonadiabatic) outer-sphere electron-transfer reactions. Deviations from the theoretical curves are interpreted in terms of the influence of surface topology on reaction rate constants. In general, we find that electrostatic effects, steric influences, and redox potential all exert a much larger effect on reaction rate constants for the flavodoxin-cytochrome system than has been previously observed for free flavin-cytochrome interactions. The implications of this for determining biological specificity are discussed.     

Kinetics of electron transfer between cytochrome c and laccase.

Rate constants have been determined for the electron-transfer reactions between reduced horse heart cytochrome c and resting Rhus vernicifera laccase as a function of pH, ionic strength, and temperature. The second-order rate constant for the oxidation of reduced cytochrome c was determined to be k = 125 M-1 s-1 at 25 degrees C in 0.2 M phosphate buffer at pH 6.0 with the activation parameters delta H++ = 16.2 kJ mol-1 and delta S++ = 28.9 J mol-1 K-1. The rate constants increased with decreasing buffer concentration, indicating that electron transfer from cytochrome c to laccase is favored by the local electrostatic interaction (ZAZB = -0.9 at pH 6 and -1.3 at pH 4.8) between the basic proteins with positive net charges. From the increase of the rate of electron transfer with decreasing pH, one of the driving forces of the reaction was suggested to be the difference in the redox potentials between the type 1 copper in laccase and the central iron in cytochrome c. Further, on addition of one hexametaphosphate anion per cytochrome c molecule, the rate of the electron transfer was increased, probably because the association of both proteins became more favorable.     

Amine inversion in proteins. A 13C-NMR study of proton exchange and nitrogen inversion rates in N epsilon,N epsilon,N alpha,N alpha-[13C]tetramethyllysine,N epsilon,N epsilon,N alpha,N alpha-[13C]tetramethyllysine methyl ester, and reductively methylated concanavalin A

Exchange rates were calculated as a function of pH from line widths of methylamine resonances in 13C-NMR spectra of N epsilon,N epsilon,N alpha,N alpha-[13C]tetramethyllysine (TML) and N epsilon,N epsilon,N alpha,N alpha-tetramethyllysine methyl ester (TMLME). The pH dependence of the dimethyl alpha-amine exchange rate could be adequately described by assuming base-catalyzed chemical exchange between two diastereotopic methyl populations related by nitrogen inversion. Deprotonation of the alpha-amine was assumed to occur by proton transfer to (1) OH-, (2) water, (3) a deprotonated amine or (4) RCO2-. Microscopic rate constants characterizing each of these transfer processes (k1, k2, k3 and k4, respectively) were determined by fitting the rates calculated from line width analysis to a steady-state kinetic model. Using this procedure it was determined that for both TML and TMLME k2 approximately equal to 1-10 M-1 s-1, k3 approximately equal to 10(6) M-1 s-1 and ki, the rate constant for nitrogen inversion was about 10(8)-10(9) s-1. Upper limits of 10(12) and 10(3) M-1 s-1 could be determined for k1 and k4, respectively. A similar kinetic analysis was used to explain pH-dependent line-broadening effects observed for the N-terminal dimethylalanyl resonance in 13C-NMR spectra of concanavalin A, reductively methylated using 90% [13C]formaldehyde. From exchange data below pH 4 it could be determined that amine inversion was limited by the proton transfer rate to the solvent, with a rate constant estimated at 20 M-1 s-1. Above pH 4, exchange was limited by proton transfer to other titrating groups in the protein structure. Based upon their proximity, the carboxylate side chains of Asp-2 and Asp-218 appear to be likely candidates. The apparent first-order microscopic rate constant characterizing proton transfer to these groups was estimated to be about 1 X 10(4) s-1. Rate constants characterizing nitrogen inversion (ki), proton transfer to OH- (k1) and proton transfer to the solvent (k2) were estimated to be of the same order of magnitude as those determined for the model compounds. On the basis of our results, it is proposed that chemical exchange processes associated with base-catalyzed nitrogen inversion may contribute to 15N or 13C spin-lattice relaxation times in reductively methylated peptides or proteins.