Temperature and requency dependence of solvent proton relaxation rates in solutions of manganese(II) carbonic anhydrase.

Longitudinal and transverse proton relaxation rates of water in solutions of manganese(II) bovine carbonic anhydrase have been measured by pulsed nuclear magnetic resonance spectrometry as a function of temperature (2-35 degrees), frequently (5-100 MHz) and pH. The pH dependence of the longitudinal relaxation rate was fitted to a sigmoidal curve with a pK value at 7.8, while the esterase activity of the manganese(II) enzyme in the hydrolysis of p-nitrophenyl acetate revealed an inflection point at pK = 8.2. The hydration number of manganese(II) carbonic anhydrase could be derived using either the frequency dependence of T1p or the T1p/T2p ratio at only one (high) frequency. Both treatments are in agreement with a model in which one water molecule is bound to the metal at high pH. At low pH the relaxation data imply that no-H20 exists in the first coordination sphere of the manganese ion. The various parameters which are responsible for the proton relaxation mechanisms have been evaluated and are compared to other manganese(II) enzyme systems. The pH dependence of the binding constant of manganese to apocarbonic anhydrase is also reported.     

Kinetics of a general model for enzyme activation through a limited proteolysis

The kinetics of a general model for enzyme activation through a limited proteoylsis has been studied, and equations which show the dependence on time of the concentration of the products have been deduced. A method for determination of rate constants is proposed, and several other mechanisms have been treated as particular cases of the general model.     

Relaxation studies of enzymes: rapid isomerization in deoxyribonuclease I.

Temperature-jump relaxation studies in deoxy-ribonuclease I were carried out at 10 degrees C and [I] = 0.1 M. The single observed relaxation time, which varied from 10(-4) to 10(-5) s, was characterized as a function of enzyme concentration, pH, and indicator concentration. The concentration and pH dependences of the relaxation time are in quantitative agreement with a mechanism involving an isomerization of the enzyme coupled to a rapid proton ionization process. The best fit forward and reverse isomerization rate constants are 6.5 X 10(3) and 7.2 X 10(4) s-1, respectively; the apparent pK is 5.7. The addition of urea brought about reductions in both the amplitude of the relaxation effect and the enzyme activity.     

Dielectric properties of polyelectrolytes. V. Dielectric dispersion of heavy meromyosin

Dielectric constant and dielectric loss of heavy meromyosin (HMM) were measured with varying pH. HMM showed a broader dispersion pattern than that with a single relaxation time especially on the high-frequencey side. The dielectric increment increased sharply with pH, above p^{H 6}, whereas the mean relaxation time and whole dispersion pattern were unchanged in the same region. The values of the increment and the mean relaxation time were much larger than those of usual globular proteins. The dispersion profile, pH dependence, and values of the increment are well explained by Oosawa's counterion fluctuation theory. Other mechanisms are more or less inadequate to our results. In the low pH region below the isoelectric precipitation region, both the increment and the mean relaxation time decreased; this is probably due to partial denaturation and suppression of the dissociation of carboxyl groups. An experiment on a urea-denatured sample supports this assumption. The biological significance of the pH dependence is discussed.     

Estimation of the dissociation constants of enzyme-substrate complexes from steady-state measurements. Interpretation of pH-independence of Km.

If the Michaelis constant of an enzyme-catalysed reaction is independent of pH under conditions where the catalytic constant varies with pH, it is equal to the thermodynamic dissociation constant of the enzyme-substrate complex. This is true for realistic mechanisms in which binding and catalytic steps, are clearly distinguished, as well as for the simpler mechanisms that have been considered previously. It is also true for a mechanism in which a bell-shaped pH profile for the catalytic constant results from a change of rate-limiting step with pH. The relaxation time for ionization of a typical group in unbuffered solutions at 25 degrees C is of the order of 0.1 ms at the longest, and is much shorter in buffered solutions. Thus ionizations in almost all enzyme mechanisms can properly be treated as equilibria, provided that ionization is not accompanied by a slow, compulsory change in conformation.     

A temperature-jump study of the electron transfer reactions in Hansenula anomala flavocytochrome b2

Temperature-jump experiments on flavocytochrome b2 were carried out at different levels of heme reduction at pH 7.0 and 6.0, and as a function of pyruvate concentration. The relaxation, corresponding to an increase in the concentration of reduced heme, is in no case a simple process. AtpH 7.0 the mean reciprocal relaxation time is 1/tau* = 190 s-1, independent of enzyme concentration, wavelength of observation and percentage of heme reduction. Flavin semiquinone has been identified as the major electron donor to the heme in this process. At the same pH the presence of pyruvate in the millimolar concentration range increases the relaxation rate and affects its amplitude. The latter effect could be accounted for by a change in redox equilibria between heme and flavin upon pyruvate binding. At pH 6.0 the relaxation pattern depends more clearly on the level of heme reduction. A rapid process (tau-1 = 2500 s-1), predominant at high percentages of reduced heme, has been assigned to the reduction of heme by flavin hydroquinone, while the slower process (tau-1 = 350 s-1), essentially the only one present at or below 50% of heme reduction, has been ascribed to the reduction of heme by flavin semiquinone. These results are discussed in relation to the catalytic mechanism of the enzyme.     

Temperature-jump studies on benzeneboronic acid-serine protease interactions. Subtilisin and alpha-chymotrypsin.

The interactions of benzeneboronic acid (BBA) as a transition state analog with subtilisin (EC 3.4.21.4) and with alpha-chymotrypsin (EC 3.4.21.1) were investigated kinetically by the temperature-jump method using pH indicators. For both enzymes, the concentration dependence of the relaxation time was consistent with a two-step mechanism involving a fast bimolecular association followed by a slow, unimolecular process. The possibility of a trigonal-tetrahedral interconversion of BBA at the active site of the enzyme is discussed.     

Properties of microfiltration membranes: Mechanisms of flux loss in the recovery of an enzyme

The transmission and rate of filtration of the enzyme yeast alcohol dehydrogenase (YADH) has been studied at capillary pore microfiltration membranes. Photon correlation spectroscopy (PCS) with nanometer resolution showed that the enzyme existed as discreate molecules only for a narrow range of pH and ionic strength. Under such conditions, the transmission of the enzyme was high. However, the rate of filtration still decreased continuously with time. Analyssis of the time dependence of the rate of filtration indicated that this decrease was due to in-pore enzyme deposition at low concentration ("standard blocking model") and suface depositon at high concentration ("cake filtration model"). Use of atomic force microscopy (AFM) gave unequivocal and quantitative confirmation of these inferences. The work shows the great advantage of using advanced physical characterization techniques, both for the identification of the optimum conditions for filtration (PCS) and for the elucidation of mechanisms giving rise to inefficiencies in the filtration process (AFM). (c) 1995 John Wiley & Sons, Inc.     

Elementary processes in the interaction of serine protease with a possible transition state analog. Subtillisin-benzeneboronic acid system.

The interaction of benzeneboronic acid(BBA), a possible transition state analog, with subtilisin BPN' [EC 3.4.21.14] was studied by the temperature-jump method at various pH's, temperatures and in D2O as well as H2O. From analysis of the concentration dependence of the relaxation times, it was suggested that the subtillsin-BBA interactions consist of at least two elementary steps, a fast bimolecular association followed by a slow unimolecular process. Similar concentration dependence was observed at pH 6.1-6.7 at 25degrees. However, in D2O the reciprocal relaxation times generally decreased compared to those in H2O and became concentration-independent below pD 6.5. The relaxation times were influenced considerably by the temperature. From these results, the slow unimolecular process was assigned to the trigonal-tetrahedral interconversion of BBA at the active site of the enzyme.     

The kinetics of binding of o-methyl red to the outer surface of unilamellar spherical phospholipid vesicles

The kinetics of adsorption of the proton carrier o-methyl red to the surface of unilamellar spherical phospholipid vesicles have been investigated by means of the temperature-jump relaxation technique with absorbance detection. Single-exponential relaxation curves were observed with time constants in the range 30-130 microseconds. o-Methyl red binds in both its anionic form A- and protonated form AH. Adsorption-desorption of the two species is coupled by two fast protolytic reactions, occurring in the aqueous bulk phase and in the surface region of the membrane. The rate constants for adsorption and desorption of the two species were obtained from the dependences of the relaxation time on lipid concentration at different pH values. The analysis yielded apparent adsorption rate constants of kasAH = 9.8 X 10(6) M-1 s-1 and kasA = 1.3 X 10(6) M-1 s-1 (expressed in terms of monomeric lipid), and kasAH = 1.2 X 10(11) M-1 s-1 and kasA = 1.6 X 10(10) M-1 s-1 (expressed in terms of vesicle concentration). From the order of these rate constants it is concluded that adsorption of both species is actually diffusion-controlled. The peculiar pH dependence of the relaxation time is a consequence of the protolytic reaction in the surface region of the membrane. Its implication for the kinetics of adsorption-desorption processes are discussed.     

Chemical relaxation studies on the horse liver alcohol dehydrogenase system.

Chemical relaxation studies on the system horse liver alcohol dehydrogenase, nicotinamide adenine dinucleotide, and ethanol were conducted observing fluorescence changes between 400 and 500 nm. Temperature-jump experiments were performed at pH 6.5, 7.0, 8.0, and 9.0; concentration-jump experiments at pH 9.0. The reciprocal of the slowest relaxation time was found to be linearly dependent upon the enzyme concentration for relatively low enzyme concentrations, as predicted earlier. Use of the wide pH-range necessitated expression of the four apparent dissociation constants of the catalytic reaction cycle in terms of pH-independent constants. The system was described in terms of only one (or two) catalysis-linked protons not associated with the electron transfer. Protonic steps in a buffered system are in rapid equilibrium, too fast to be measured with the equipment available. Assuming only two of the four bimolecular reaction steps in the four-step cycle are fast compared to the remaining two, six cases may be considered with six expressions for the reciprocal of the slowest relaxation time. Comparison with the experimental data revealed that the bimolecular reaction steps governing the slowest relaxation time change with pH. Above the effective time resolution of the temperature-lump instrument with fluorescence detection (0.1 msec) only one other relaxation time was detectable and only at pH 9. This relaxation time, found to be independent of the concentration of all reactants within experimental error (r = 10 +/- 5 msec), is most likely due to an interconversion among ternary complexes.     

An extended kinetic analysis of valinomycin-induced Rb-transport through monoglyceride membranes

Summary The time course of the current following a voltage jump, which is applied to monoglyceride bilayers in the presence of valinomycin, shows two relaxation times. This is basically in agreement with a simple carrier model which has been described in full detail formerly. Relaxation times and amplitudes allow a calculation of the rate constants of the transport model. The presented data supplement an analysis which was hitherto based only on the slower relaxation process and on information derived from the nonlinearity of currentvoltage characteristics. The additional resolution of the faster relaxation time allowed an approximate determination of the voltage dependence of the translocation rate constant for the carrier-ion-complex and provided evidence for a small voltage dependence of the interfacial reaction. The dependence of the relaxation parameters on the ion concentration in the aqueous phase was interpreted assuming a saturation of the ion concentration at the reaction plane at high bulk concentrations.     

An extended kinetic analysis of valinomycin-induced Rb-transport through monoglyceride membranes.

The time course of the current following a voltage jump, which is applied to monoglyceride bilayers in the presence of valinomycin, shows two relaxation times. This is basically in agreement with a simple carrier model which has been described in full detail formerly. Relaxation times and amplitudes allow a calculation of the rate constants of the transport model. The presented data supplement an analysis which was hitherto based only on the slower relaxation process and on information derived from the nonlinearity of current-voltage characteristics. The additional resolution of the faster relaxation time allowed an approximate determination of the voltage dependence of the translocation rate constant for carrier-ion-complex and provided evidence for a small voltage dependence of the interfacial reaction. The dependence of the relaxation parameters on the ion concentration in the aqueous phase was interpreted assuming a saturation of the ion concentration at the reaction plane at high bulk concentrations.     

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

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

Ion binding to cytochrome c studied by nuclear magnetic quadrupole relaxation.

The enhancement of the 35Cl- transverse relaxation rate on binding of chloride ions to oxidized and reduced cytochrome c has been studied under conditions of variable sodium chloride concentration, temperature, pH, sodium phosphate, iron hexacyanide, and sodium cyanide concentration. The results revealed the presence of a strong binding site(s) for chloride in both oxidized and reduced cyt c, with a higher affinity in ferrocytochrome c. Competition experiments suggest that these sites also bind iron hexacyanide and phosphate. Cyanide binding to the iron in ferricytochrome c at alkaline and neutral pH was shown to decrease the binding of chloride. The pH dependence of the 35Cl- relaxation rate has been fitted by using literature pK values for ionizable groups. No indications of Na+ binding to oxidized and reduced cytochrome c have been observed by using 23Na+ NMR. Our results suggest that chloride is bound near the exposed heme edge and that the surface structure or dynamics in this region are different in the two oxidation states.     

The active site of Manganese-containing superoxide dismutase fromBacillus stearothermophilus studied by1H and19F magnetic relaxation

The dependence of the magnetic relaxation rates of¹H and¹⁹F on temperature, frequency, pH and N ₃ ^- concentration, were measured in solutions of Manganese-containing superoxide dismutase ofBacillus stearothermophilus, and were compared to activity measurements, in order to obtain some information on the structure and dynamics at Mn(III) present in the active site of the enzyme. The experimental data lead us to hypothesize the presence of two binding sites in the coordination sphere of the enzyme bound Mn(III), which are accessible to water and anions and have different chemical and spectroscopic properties. NMR measurements carried out in the presence of competitive inhibitors and the pH dependence of both NMR relaxation rates suggest that F^-, N ₃ ^- and OH^- ions bind to one site, while a water molecule binds to the other one. The stability constant values of the complexes between these anions and the enzyme are reported. The influence of the anions on activity and the pH dependence of NMR parameters are discussed.Abbreviations MnSOD Manganese containing superoxide dismutase     

Pressure-jump kinetics of bovine beta-casein micellization

Two samples of highly purified bovine beta-casein supplied to us by Dr. T.A.J. Payens of the National Institute for Dairy Research, Ede, The Netherlands, were studied over a range of concentration from just below the critical micelle concentration (CMC) to 0.46%, in 0.2 ionic strength phosphate buffer (pH 7.0), at 20 and 25 degrees C. The relaxation process studied by pressure jump using a 90 degree scattered light detector was also confirmed by the temperature-jump method. In the pressure-jump experiments, the process could be separated into two general time domains, with an approximate ratio of 10-25:1, a behavior reminiscent of that found for synthetic micellar systems. The faster relaxation process was still exhibited below the CMC, however. The concentration dependence of the faster relaxation time agreed very satisfactorily with predictions from the micelle model described in the companion paper.     

Dynamics of human serum albumin studied by acoustic relaxation spectroscopy

Sonic absorption spectra of solutions of human serum albumin (SA) in water and in aqueous phosphate buffer systems have been measured between 0.2 and 2000 MHz at different temperatures (15-35 degrees C), pH values (1.8-12.3), and protein concentrations (1-40 g/L). Several spectra, indicating relaxation processes in the whole frequency range, have been found. The spectra at neutral pH could be fitted well with an analytical function consisting of the asymptotic high frequency absorption and two relaxation contributions, a Debye-type relaxation term with discrete relaxation time and a term with asymmetric continuous distribution of relaxation times. Both relaxation contributions were observed in water and in buffer solutions and increased with protein concentration. The contribution represented by a Debye-type term is practically independent of temperature and was attributed to cooperative conformational changes of the polypeptide chain featuring a relaxation time of about 400 ns. The distribution of the relaxation times corresponding to the second relaxation contribution was characterized by a short time cutoff, between about 0.02 and 0.4 ns depending on temperature, and a long time tail extending to microseconds. Such relaxation behavior was interpreted in terms of solute-solvent interactions reflecting various hydration layers of HSA molecules. At acid and alkaline pH, an additional Debye-type contribution with relaxation time in the range of 30-100 ns exists. It seems to be due to proton transfer reactions of protein side-chain groups. The kinetic and thermodynamic parameters of these processes have been estimated from these first measurements to indicate the potential of acoustic spectra for the investigation of the elementary kinetics of albumin processes.     

Factors determining the sequence of oxidative decarboxylation of the 2- and 4-propionate substituents of coproporphyrinogen III by coproporphyrinogen oxidase in rat liver

The relaxation behaviour of a system of reactants equilibrated in the presence of pig heart lactate dehydrogenase was studied after pressure perturbation. Two relaxations were observed when protein fluorescence was recorded, but only the slower relaxation was apparent in observations of A340. The faster relaxation therefore involves transfer between free and enzyme-bound NADH, whereas the slower relaxation represents the reduction of NAD+. Both relaxations were observed in Tris buffer, where there is little effect of pressure on pH, and in phosphate buffer, where pH changes are significant; however, the amplitudes depended on the buffer used. The slower reciprocal relaxation time increases with increasing total enzyme concentration and decreases slightly with increasing NAD+ concentration. Computer simulations, based on a proposed mechanism, were compared with the experimentally determined amplitudes and relaxation times as a test of the mechanism.     

Kinetics of the interaction between aspartic aminotransferase and anions.

The kinetics of the interaction between deionized supernatant aspartic aminotransferase and various anions (cacodylate, phosphate and chloride) were studied by the temperature-jump technique. The anion concentration in the range covered by our experiments does not affect the transamination rate. On the other hand the conformational transition, recently observed at the active site of the enzyme, is hindered by an excess of anions. A single relaxation effect was observed at the enzyme chromophore wavelength in systems containing the aldimine form of the enzyme and the above anions. It is shown that this effect corresponds to the protonation of the chromophore. The relaxation times were of about 10 mus with phosphate, 20-100 mus with cacodylate and 1-2 ms with chloride. The pH and concentration dependence of this effect were studied. The fits of experimental data to a rate equations for various models were tested by a chi2 analysis. The best fit was obtained with models where anions bind rapidly to a site close to the chromophore, so that the pK of the chromophore is affected by anions binding. The rate of the observed relaxation considerably increased when the anion has buffering capacities; this indicates, in the case of cacodylate and phosphate, that the acidic component of the buffer directly exchanges a proton with the enzyme chromophore.