The Temperature Dependence of the Steady State Kinetic Parameters of the Fumarase Reaction

Carbon Acidity in Enzyme Active Sites

The pK_a values for substrates acting as carbon acids (i.e., C-H deprotonation reactions) in several enzyme active sites are presented. The information needed to calculate them includes the pK_a of the active site acid/base catalyst and the equilibrium constant for the deprotonation step. Carbon acidity is obtained from the relation pK_eq = pKar–pKap = ΔpK_a for a proton transfer reaction. Five enzymatic free energy profiles (FEPs) were calculated to obtain the equilibrium constants for proton transfer from carbon in the active site, and six additional proton transfer equilibrium constants were extracted from data available in the literature, allowing substrate C-H pK_as to be calculated for 11 enzymes. Active site-bound substrate C-H pK_a values range from 5.6 for ketosteroid isomerase to 16 for proline racemase. Compared to values in water, enzymes lower substrate C-H pK_as by up to 23 units, corresponding to 31 kcal/mol of carbanion stabilization energy. Calculation of Marcus intrinsic barriers (ΔG0‡) for pairs of non-enzymatic/enzymatic reactions shows significant reductions in ΔG0‡ for cofactor-independent enzymes, while pyridoxal phosphate dependent enzymes appear to increase ΔG0‡ to a small extent as a consequence of carbanion resonance stabilization. The large increases in carbon acidity found here are central to the large rate enhancements observed in enzymes that catalyze carbon deprotonation.

Sub-minute kinetics of human red cell fumarase: 1 H spin-echo NMR spectroscopy and 13 C rapid-dissolution dynamic nuclear polarization

Fumarate is an important probe of metabolism in hyperpolarized magnetic resonance imaging and spectroscopy. It is used to detect the release of fumarase in cancer tissues, which is associated with necrosis and drug treatment. Nevertheless, there are limited reports describing the detailed kinetic studies of this enzyme in various cells and tissues. Thus, we aimed to evaluate the sub-minute kinetics of human red blood cell fumarase using nuclear magnetic resonance (NMR) spectroscopy, and to provide a quantitative description of the enzyme that is relevant to the use of fumarate as a probe of cell rupture. The fumarase reaction was studied using time courses of 1 H spin-echo and 13 C-NMR spectra. 1 H-NMR experiments showed that the fumarase reaction in hemolysates is sufficiently rapid to make its kinetics amenable to study in a period of approximately 3 min, a timescale characteristic of hyperpolarized 13 C-NMR spectroscopy. The rapid-dissolution dynamic nuclear polarization (RD-DNP) technique was used to hyperpolarize [1,4-13 C]fumarate, which was injected into concentrated hemolysates. The kinetic data were analyzed using recently developed FmRα analysis and modeling of the enzymatic reaction using Michaelis-Menten equations. In RD-DNP experiments, the decline in the 13 C-NMR signal from fumarate, and the concurrent rise and fall of that from malate, were captured with high spectral resolution and signal-to-noise ratio, which allowed the robust quantification of fumarase kinetics. The kinetic parameters obtained indicate the potential contribution of hemolysis to the overall rate of the fumarase reaction when 13 C-NMR RD-DNP is used to detect necrosis in animal models of implanted tumors. The analytical procedures developed will be applicable to studies of other rapid enzymatic reactions using conventional and hyperpolarized substrate NMR spectroscopy.

Identification of critical steps governing the two-component alkanesulfonate monooxygenase catalytic mechanism

The alkanesulfonate monooxygenase enzyme (SsuD) catalyzes the oxygenolytic cleavage of a carbon-sulfur bond from sulfonated substrates. A mechanism involving acid-base catalysis has been proposed for the desulfonation mechanism by SsuD. In the proposed mechanism, base catalysis is involved in abstracting a proton from the alkane peroxyflavin intermediate, while acid catalysis is needed for the protonation of the FMNO(-) intermediate. The pH profiles of k(cat) indicate that catalysis by SsuD requires a group with a pK(a) of 6.6 ± 0.2 to be deprotonated and a second group with a pK(a) of 9.5 ± 0.1 to be protonated. The upper pK(a) value was not present in the pH profiles of k(cat)/K(m). Several conserved amino acid residues (His228, His11, His333, Cys54, and Arg226) have been identified as having potential catalytic importance due to the similar spatial arrangements with close structural and functional relatives of SsuD. Substitutions to these amino acid residues were generated, and the pH dependencies were evaluated and compared to wild-type SsuD. Although a histidine residue was previously proposed to be the active site base, the His variants possessed similar steady-state kinetic parameters as wild-type SsuD. Interestingly, R226A and R226K SsuD variants possessed undetectable activity, and there was no detectable formation of the C4a-(hydro)peroxyflavin intermediate for the Arg226 SsuD variants. Guanidinium rescue with the R226A SsuD variant resulted in the recovery of 1.5% of the wild-type SsuD k(cat) value. These results implicate Arg226 playing a critical role in catalysis and provide essential insights into the mechanistic steps that guide the SsuD desulfonation process.

Impact of temperature on the time required for the establishment of primordial biochemistry, and for the evolution of enzymes

All reactions are accelerated by an increase in temperature, but the magnitude of that effect on very slow reactions does not seem to have been fully appreciated. The hydrolysis of polysaccharides, for example, is accelerated 190,000-fold when the temperature is raised from 25 to 100 °C, while the rate of hydrolysis of phosphate monoester dianions increases 10,300,000-fold. Moreover, the slowest reactions tend to be the most heat-sensitive. These tendencies collapse, by as many as five orders of magnitude, the time that would have been required for early chemical evolution in a warm environment. We propose, further, that if the catalytic effect of a "proto-enzyme"--like that of modern enzymes--were mainly enthalpic, then the resulting rate enhancement would have increased automatically as the environment became cooler. Several powerful nonenzymatic catalysts of very slow biological reactions, notably pyridoxal phosphate and the ceric ion, are shown to meet that criterion. Taken together, these findings greatly reduce the time that would have been required for early chemical evolution, countering the view that not enough time has passed for life to have evolved to its present level of complexity.

Frequency factors in a landscape model of filamentous protein aggregation

Using quantitative measurements of protein aggregation rates, we develop a kinetic picture of protein conversion from a soluble to a fibrillar state which shows that a single free energy barrier to aggregation controls the addition of protein molecules into amyloid fibrils, while the characteristic sublinear concentration dependence emerges as a natural consequence of finite diffusion times. These findings suggest that this reaction does not follow a simple chemical mechanism, but rather operates in a way analogous to the landscape models of protein folding defined by stochastic dynamics on a characteristic energy surface.

Kinesin's backsteps under mechanical load

Kinesins move processively toward the plus end of microtubules by hydrolyzing ATP for each step. From an enzymatic perspective, the mechanism of mechanical motion coupled to the nucleotide chemistry is often well explained using a single-loop cyclic reaction. However, several difficulties arise in interpreting kinesin's backstepping within this framework, especially when external forces oppose the motion of kinesin. We review evidence, such as an ATP-independent stall force and a slower cycle time for backsteps, that has emerged to challenge the idea that kinesin backstepping is due to ATP synthesis, i.e., the reverse cycle of kinesin's forward-stepping chemomechanics. Supplementing the conventional single-loop chemomechanics with routes for ATP-hydrolyzing backward steps and nucleotide-free steps, especially under load, gives a better physical interpretation of the experimental data on backsteps.

Crystal structure of thermostable aspartase from Bacillus sp. YM55-1: structure-based exploration of functional sites in the aspartase family

The crystal structure of the thermostable aspartase from Bacillus sp. YM55-1 has been solved and refined for 2.5A resolution data with an R-factor of 22.1%. The present enzyme is a homotetramer with subunits composed of three domains. It exhibits no allosteric effects, in contrast to the Escherichia coli aspartase, which is activated by divalent metal cation and L-aspartate, but is four-times more active than the E.coli enzyme. The overall folding of the present enzyme subunit is similar to those of the E.coli aspartase and the E.coli fumarase C, both of which belong to the same superfamily as the present enzyme. A local structural comparison of these three enzymes revealed seven structurally different regions. Five of the regions were located around putative functional sites, suggesting the involvement of these regions into the functions characteristic of the enzymes. Of these regions, the region of Gln96-Gly100 is proposed as a part of the recognition site of the alpha-amino group in L-aspartate for aspartase and the hydroxyl group in L-malate for fumarase. The region of Gln315-Gly323 is a flexible loop with a well-conserved sequence that is suggested to be involved in the catalytic reaction. The region of Lys123-Lys128 corresponds to a part of the putative activator-binding site in the E.coli fumarase C. The region in the Bacillus aspartase, however, adopts a main-chain conformation that prevents the activator binding. The regions of Gly228-Glu241 and Val265-Asp272, which form a part of the active-site wall, are suggested to be involved in the allosteric activation of the E.coli aspartase by the binding of the metal ion and the activator. Moreover, an increase in the numbers of intersubunit hydrogen bonds and salt-bridges is observed in the Bacillus aspartase relative to those of the E.coli enzyme, implying a contribution to the thermostability of the present aspartase.

The structure of L-aspartate ammonia-lyase from Escherichia coli

The X-ray crystal structure of l-aspartate ammonia-lyase has been determined to 2.8 A resolution. The enzyme contains three domains, and each domain is composed almost completely of alpha helices. The central domain is composed of five long helices. In the tetramer, these five helices form a 20-helix cluster. Such clusters have also been seen in delta-crystallin and in fumarase. The active site of aspartase has been located in a region that contains side chains from three different subunits. The structure of the apoenzyme has made it possible to identify some of the residues that are involved in binding the substrate. These residues have been examined by site-directed mutagenesis, and their putative roles have been assigned [Jayasekera, M. M. K., Shi, W., Farber, G. K., & Viola, R. E. (1997) Biochemistry 36, 9145-9150].

Mutations of fumarase that distinguish between the active site and a nearby dicarboxylic acid binding site

Two mutant forms of fumarase C from E. coli have been made using PCR and recombinant DNA. The recombinant form of the protein included a histidine arm on the C-terminal facilitating purification. Based on earlier studies, two different carboxylic acid binding sites, labeled A- and B-, were observed in crystal structures of the wild type and inhibited forms of the enzyme. A histidine at each of the sites was mutated to an asparagine. H188N at the A-site resulted in a large decrease in specific activity, while the H129N mutation at the B-site had essentially no effect. From the results, we conclude that the A-site is indeed the active site, and a dual role for H188 as a potential catalytic base is proposed. Crystal structures of the two mutant proteins produced some unexpected results. Both mutations reduced the affinity for the carboxylic acids at their respective sites. The H129N mutant should be particularly useful in future kinetic studies because it sterically blocks the B-site with the carboxyamide of asparagine assuming the position of the ligand's carboxylate. In the H188N mutation at the active site, the new asparagine side chain still interacts with an active site water that appears to have moved slightly as a result of the mutation.

Low-barrier hydrogen bonds and enzymic catalysis

Formation of a short (less than 2.5 angstroms), very strong, low-barrier hydrogen bond in the transition state, or in an enzyme-intermediate complex, can be an important contribution to enzymic catalysis. Formation of such a bond can supply 10 to 20 kilocalories per mole and thus facilitate difficult reactions such as enolization of carboxylate groups. Because low-barrier hydrogen bonds form only when the pKa's (negative logarithm of the acid constant) of the oxygens or nitrogens sharing the hydrogen are similar, a weak hydrogen bond in the enzyme-substrate complex in which the pKa's do not match can become a strong, low-barrier one if the pKa's become matched in the transition state or enzyme-intermediate complex. Several examples of enzymatic reactions that appear to use this principle are presented.

Sensory rhodopsin-controlled release of the switch factor fumarate in Halobacterium salinarium

Halobacterium salinarium responds to blue light by reversing its swimming direction. Fumarate has been proposed as one of the molecular components of this sensory system and is involved in the switching process of the flagellar motor. In order to obtain chemical proof for this role of fumarate, cells were stimulated with a pulse of blue light and lysed by rapid mixing with distilled water. The lysate contained fumarate in free and bound form, which were separated by ultrafiltration. The fumarate concentration in the low-molecular-mass fraction (< 5 kDa) of the lysate was assayed enzymatically and a light-induced increase was observed. Additionally, the total cellular fumarate content decreased in response to light, indicating that fumarate was released from a cellular pool rather than being formed by de novo synthesis. The light-induced release was not detected in a mutant defective in sensory rhodopsin-I and -II. Therefore it is concluded that photoreceptor activation rather than a direct effect of light on the activity of metabolic enzymes causes fumarate release. For each photoactivated sensory rhodopsin-II molecule at least 350 molecules of fumarate were liberated demonstrating efficient amplification. The rate of light-induced fumarate release is at least 10-times faster than the fumarate turnover number of the citric acid cycle which was estimated as approximately 4300 per cell and second. Therefore this metabolic process is not expected to be part of the signal transduction chain in the halobacterial cell.

Thermodynamics of the maleate and citraconate hydration reactions catalysed by malease from Pseudomonas pseudoalcaligenes

Malease from Pseudomonas pseudoalcaligenes catalyses the hydration of both maleate and citraconate to D-malate and D-citramalate, respectively. The Kapp for these hydration reactions were 2050 and 104, respectively, under standard biochemical conditions (25 degrees C, pH 7.0, I = 0.1). The influence of the pH (6.0-8.5) on Kapp was determined. The Gibbs-free-energy changes under standard biochemical conditions for the hydration of the dianionic acids were calculated to be -19.28 kJ.mol-1 and -11.65 kJ.mol-1, respectively. From the obtained data together with data from the literature, the Gibbs free energy of formation of maleate2- and citraconate2- were calculated to be -588.91 kJ.mol-1 and -600.56 kJ.mol-1, respectively. The influence of the temperature (10-40 degrees C) on Kapp was determined for both hydration reactions. The enthalpy change (delta H degrees') and entropy change (delta S degrees') under standard biochemical conditions for the maleate2- (delta H degrees' = 18.07 kJ.mol-1, delta S degrees' = 2.94 J.mol-1 x K-1) and citraconate2- (delta H degrees' = -22.55 kJ.mol-1, delta S degrees' = -35.92 kJ.mol-1 x K-1) hydration reactions were calculated. The reaction rate of malease from Ps. pseudoalcaligenes was studied for both hydration reactions as a function of temperature. From these studies, the Gibbs free energies of activation for the maleate and citraconate hydration reactions catalysed by malease from Ps. pseudoalcaligenes were calculated to be 62.21 kJ.mol-1 and 63.43 kJ.mol-1, respectively.

Kinetic studies of L-aspartase from Escherichia coli: pH-dependent activity changes

The pH dependence of the kinetic parameters of the L-aspartase-catalyzed reaction have been examined in both the amination and the deamination directions. The enzyme isolated from Escherichia coli exists in a pH-dependent equilibrium between a higher pH form that has an absolute requirement for a divalent metal ion and for substrate activation, and a low pH form that does not require activation by either substrate or metal ions. The interconversion between these enzyme forms is observed near neutral pH in the profiles examined for the reaction in either direction. This pH-dependent activation has not been observed for other bacterial aspartases. Loss of activity is observed at high pH with a pK value of 9. The pH profiles of competitive inhibitors such as 3-nitropropionic acid and succinic acid have shown that the enzyme group responsible for this activity loss must be protonated for substrate binding at the active site. An enzymatic group has also been identified that must be protonated in the amination reaction, with a pK value near 6.5, and deprotonated in the deamination reaction. This group, tentatively assigned as a histidyl residue, fulfills the criteria for the acid-base catalyst at the active site of L-aspartase.

Use of isotope effects to elucidate enzyme mechanisms

The chemical bond breaking steps are normally not rate limiting for enzymatic reactions. However, comparison of deuterium and tritium isotope effects on the same reaction, especially when coupled with 13C isotope effects for the same step measured with deuterated as well as unlabeled substrates, allows calculation of the intrinsic isotope effects on the bond breaking steps and thus a determination of the commitments to catalysis for the reactants. The variation in observed isotope effects as a function of reactant concentration can be used to determine kinetic mechanisms, while the pH variation of isotope effects can determine the stickiness of the reactants and which portions of the reactant mechanism are pH dependent. Finally the size of primary and secondary intrinsic isotope effects can be used to determine transition state structure.

A differential labelling model for determining the number of catalytically essential carboxyl groups in fumarase

We have developed a mathematical model of the nonideal case in which enzymatic activity changes may also result from modification of non-essential groups. As an illustration of this method, the number of essential carboxyl groups in pig heart fumarase (L-malate hydro-lyase, ED 4.2.1.2) was determined by the differential labeling technique. Enzymatic activity was related to the number of modified carboxyl groups according to the model and the results were compatible with the existence of two essential carboxyl groups in fumarase.

Biogenesis of microsomal membrane glycoproteins in rat liver. IV. Characteristics of a cytoplasmic lipoprotein having properties of a membrane precursor

The supernatant fraction from a rat liver homogenate contains a lipoprotein complex which can be incorporated into microsomal membranes in vitro. The lipoprotein can be purified by gel filtration and flotation in a NaBr solution. The isolated lipoprotein has an equilibrium density in the range of 1.07-1.14 g/ml, a sedimentation coefficient of 4.9 S and a calculated molecular weight of 210 000. The isolated complex contains 44% lipid by weight, half of which is phospholipid. The protein also has covalently bound sugar moieties, namely mannose, galactose, glucosamine, and sialic acid. The complex is unstable and may dissociate during the isolation procedure. The complex and its fragments contain two peptides with molecular weights of 11-13000 and 67-69000. These two components have practically identical amino acid compositions.

Chicken fumarase. II. Kinetic studies

The catalysis of the hydration of fumarate and deshydration of L - malate by chicken fumarase was measured spectrophotometrically over a range of substrate concentrations from 4 times 10(-3) M to 8 times 10(-5) M for fumarate and from 8 times 10(-2) M to 10(-3) M for L - malate. For the forward and reverse reactions, linear Lineweaver and Burk plots were obtained. The Michaelis constants and the maximum initial velocities for both substrates were determined and the Haldane relation was found to be obeyed. The effect of pH on activity was investigated over a pH range from 5.5 to 9.0 and the data indicate the presence, in the active site, of two ionizable groups, one in the acidic form and one in the basic form. The values of the ionization constants, determined for the enzyme - substrate complexes, agree closely with the ones obtained for the porcine enzyme. The mode of action of twenty-four structural analogs on the initial velocity of the dehydration of L-malate, by chicken fumarase was examined. From these studies, two regions positively charged appear necessary for the effective binding of the carboxylates of the substrates and competitive inhibitors to the active center. Moreover, the data suggest the presence of an additional group, in the catalytic site of chicken fumarase, that stabilizes the carbon-carbon double bond common to fumarate and its structural analogs. Finally, from the comparison of the kinetic properties of the chicken and pig fumarases, it may be concluded that the catalytic mechanism of the homologous enzymes are very similar, if not identical.