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"Viral" expansion of enzyme flux and use of quasi-chemical approximation for two-state enzymes with enzyme-enzyme interactions.

Two examples of enzyme systems with interactions, at steady state, are treated here. In both cases, the enzyme cycle has two states and quasi-equilibrium in spatial distributions obtains at steady state (because f alpha + f beta = 1). The first example is a dilute solution of enzyme molecules in a solvent. The flux (turnover) per molecule is expanded in powers of the enzyme concentration (a "viral" expansion). Aggregation of the enzyme molecules in solution is considered as a special case. In the second example, we treat an arbitrary lattice of enzyme molecules, with nearest-neighbor interactions, using the well-known quasi-chemical approximation. The flux per molecule is obtained. Critical behavior and hysteresis are illustrated.

Enzymes

Characterization of "thyroliberin-deamidating enzyme" as a post-proline-cleaving enzyme. Partial purification and enzyme-chemical analysis of the enzyme from anterior pituitary tissue.

An enzyme which catalyzes the deamidation of thyroliberin (TRF; less than Glu-His-Pro-NH2) has been purified 110-fold from extracts of bovine anterior pituitary by ammonium sulfate fractionation, ion exchange chromatography on DEAE-cellulose, and gel filtration. This enzyme of 76,000 molecular weight (as estimated by gel filtration) exhibits maximal activity at neutral pH (optimum pH 7.4 to 7.6) in buffers of high ionic strength supplemented with thiol-protecting agents. As indicated by the strong inhibition of the enzymatic activity by N-ethylmaleimide and Hg2+, as well as by the extreme sensitivity toward diisopropyl fluorophosphate, -SH, and -OH residues apparently represent essential functional groups of the enzyme. The stereospecific deamidation of TRF (Km = 4.1 . 10(-4) M) is inhibited competitively by TRF analogues which contain proline or by the proline containing biologically active peptides luliberin (LH-RF), oxytocin, vasopressin, angiotensin II, and Substance P. TRF analogues without proline or peptide amides without proline are ineffective. This enzyme cleaves the appropriate Pro-X bonds in luliberin, angiotensin II, pyroGlu-His-Pro-Gly-NH2, and the collagenase substrate Z-Gly-Pro-Leu-Gly-Pro. Thus, it may be characterized as a post-proline-cleaving enzyme.

Amidohydrolases

An alternative hypothesis of cellular transport of lysosomal enzymes in fibroblasts. Effect of inhibitors of lysosomal enzyme endocytosis on intra- and extra-cellular lysosomal enzyme activities.

Recapture of lysosomal enzymes secreted by fibroblasts was inhibited by growing the cells in the presence of either free or immobilized antibodies against lysosomal enzymes or in the presence of phosphorylated carbohydrates known to interact with the cell-surface receptors for lysosomal enzymes. The following results were obtained. 1. Conditions that prevent recapture of released lysosomal enzymes increase the rate of extracellular accumulation of these enzymes up to twice that of controls. 2. Growing cells for 12 days in the presence of 0.5mm-mannose 6-phosphate, which decreases beta-N-acetylglucosaminidase endocytosis to less than 10% of that of controls, has no effect on the intracellular activity of this and four other lysosomal enzymes. 3. Growing cells for 4 days in the presence of 50mm-mannose 6-phosphate, which is a 1000-fold higher concentration than that required for 50% inhibition of lysosomal enzyme endocytosis, leads to a 4-fold increase in extracellular beta-N-acetylglucosaminidase accumulation and a decrease in intracellular enzyme. These results give evidence that, in fibroblasts, transfer of lysosomal enzymes into lysosomes does not require secretion before a receptor-mediated recapture [Hickman & Neufeld (1972) Biochem. Biophys. Res. Commun.49, 992-999]. We propose that (a) lysosomal enzymes are present in a receptor-bound form in those vesicles that fuse with the cell membrane, (b) the major part of the lysosomal enzyme cycles via the cell surface in a receptor-bound form and (c) only a minor part of the lysosomal enzyme is released into the extracellular space during its life cycle.

Acetylglucosaminidase

Enzyme inactivation by a cellular neutral protease: enzyme specificity, effects of ligands on inactivation, and implications for the regulation of enzyme degradation.

A protease from Tetrahymena pyriformis inactivated eight of nine commercially available enzymes tested, including lactate deyhdrogenase, isocitrate dehydrogenase (TPN-specific), glucose-6 phosphate dehydrogenase, D-amino acid oxidase, fumarase, pyruvate kinase, hexokinase, and citrate synthase. Urate oxidase was not inactivated. Inactivation occurred at neutral pH, was prevented by inhibitors of the protease, and followed first order kinetics. In those cases tested, inactivation was enhanced by mercaptoethanol. Most of the enzyme-inactivating activity was due to a protease of molecular weight 25,000 that eluted from DEAE-Sephadex at 0.3 M KCl. A second protease of this molecular weight, which was not retained by the gel, inactivated only isocitrate dehydrogenase and D-amino acid oxidase. These two proteases could also be distinguished by temperature and inhibitor sensitivity. Two other protease peaks obtained by DEAE-Sephadex chromatography had little or no no enzyme inactivating activity, while another attacked only D-amino acid oxidase. At least six of the enzymes could be protected from proteolytic inactivation by various ligands. Isocitrates dehydrogenase was protected by isocitrate, TPN, or TPNH, glucose-6-dehydrogenase by glucose-6-P or TPN, pyruvate kinase by phosphoenolypyruvate or ADP, hexokinase by glucose, and fumarase by a mixture of fumarate and malate. Lactate dehdrogenase was not protected by either of its substrates of coenzymes. Citrate synthase was probably protected by oxalacetate. Our data suggest that the protease or proteases discussed here may participate in the inactivation or degradation of a least some enzymes in Tetrahymena. Since the inactivation occurs at neutral pH, this process could be regulated by variations in the cellular levels of substrates, coenzymes, or allosteric regulators resulting form changes in growth conditions or growth state. Such a mechanism would permit the selective retention of enzymes of metabolically active pathways.

Animals

Malate dehydrogenase, circular dichroism difference spectra of porcine heart mitochondrial and supernatant enzymes, binary enzyme-coenzyme, and ternary enzyme-coenzyme-substrate analog complexes.

Circular dichroism spectra and circular dichroism difference spectra, generated when porcine heart mitochondrial and supernatant malate dehydrogenase bind coenzymes or when enzyme dihydroincotinamide nucleotide binary complexes bind substrate analogs, are presented. No significant changes are observed in protein chromophores in the 200- to 240-nm spectral range indicating that there is apparently little or no perturbation of the alpha helix or peptide backbone when binary or ternary complexes are formed. Quite different spectral perturbances occur in the two enzymes with reduced coenzyme binding as well as with substrate-analog binding by enzyme-reduced coenzyme binding. Comparison of spectral perturbations in both enzymes with oxidized or reduced coenzyme binding suggests that the dihydronicotinamide moiety of the coenzyme interacts with or perturbs indirectly the environment of aromatic amino acid residues. Reduced coenzyme binding apparently perturbs tyrosine residues in both mitochondrial malate dehydrogenase and lactic dehydrogenase. Reduced coenzyme binding perturbs tyrosine and tryptophan residues in supernatant malate dehydrogenase. The number of reduced coenzyme binding sites was determined to be two per 70,000 daltons in the mitochondrial enzyme, and the reduced coenzyme dissociation constants, determined through the change in ellipticity at 260 nm, with dihydronicotinamide adenine dinucleotide binding, were found to be good agreement with published values (Holbrook, J. J., and Wolfe, R. G. (1972) Biochemistry 11, 2499-2502) obtained through fluorescence-binding studies and indicate no apparent extra coenzyme binding sites. When D-malate forms a ternary complex with malate dehydrogenase-reduced coenzyme complexes, perturbation of both adenine and dihydronicotinamide chromophores is evident. L-Malate binding, however, apparently produces only a perturbation of the adenine chromophore in such complexes. Since the coenzyme has been found to bind in an open conformation on the surface of the enzyme and the substrate analogs bind at or very near the dihydronicotinamide moiety binding site, protein conformational changes are implicated during ternary complex formation with D-malate which can effect the adenine chromophore at some distance from the substrate binding site.

Animals

Theoretical study of the effect of enzyme-enzyme interactions on steady-state enzyme kinetics.

Equilibrium statistical mechanics is much concerned with problems involving intermolecularinteractions, either in lattices or in pure fluids or solutions. The possibility of enzyme-enzyme interactions suggests that the same problems might be studied profitably at steady state as well as at equilibrium. In the systems we consider, each of the identical enzyme molecules of the system undergoes steady-state stochastic cycling among states i equal 1,....,n. But the molecules do not cycle independently. Two neghboring molecules, in states i and j, interact with a free energy wij (a function of the distance r in the solution case). The instantaneous transition probabilities between states for a given molecule will depend on the instantaneous interactions between the molecule in question and its neighbors. The primary question of interest is how the enzyme flux is influenced by the interactions. The general problem is outlined here and some simple special cases are treated. The discussion will be continued in a following paper [Hill, T. L. (1977) Proc. Natl. Acad. Sci. USA 74, in press]

Enzymes

Further study of the effect of enzyme-enzyme interactions on steady-state enzyme kinetics.

This paper continues an earlier one [Hill, T.L. (1977) Proc. Natl . Acad. Sci. USA 74, 3632-3632] and presents further introductory examples. Most attention is devoted to a closed linear chain of two-state enzyme molecules with nearest-neighbor interactions. The one-dimensional Ising theory can be used here. The Bragg-Williams (mean field) approximation is introduced to deal with a one-, two-, or three-dimensional lattice of enzyme molecules, at steady state, with an arbitrary kinetic diagram. The behavior of the flux in a phase transition is noted. Finally, a treatment is given for the first effect (second "viral" coefficient) of interactions on the flux in a dilute solution of two-state enzyme molecules.

Enzymes

Unsymmetrical and concerted examples of the effect of enzyme--enzyme interactions on steady-state enzyme kinetics.

In previous papers of this series, emphasis has been placed on the steady-state phase transition and critical properties of large lattices of interacting, symmetrical, and identical enzyme molecules. The present paper is concerned with a number of examples of enzyme--enzyme interactions that do not belong to the class of models of the earlier papers. These are more biochemically oriented and include heterologous dimers, a linear chain with unsymmetrical interactions, and concerted isologous dimers (half-the-sites reactivity).

Catalysis

3-Hydroxy-3-methylgutaryl-CoA synthase. Participation of acetyl-S-enzyme and enzyme-S-hydroxymethylgutaryl-SCoA intermediates in the reaction.

Acetyl-CoA reacts stoichiometrically with a cysteinyl sufhydryl group of avian liver 3-hydroxy-3-methylglutaryl (HMG)-CoA synthase to yield acetyl-S-enzyme (Miziorko H.M., Clinkenbeard, K.D., Reed, W.D., and Lane, M.D. (1975) J. Biol. Chem. 250, 5768-5773). Evidence that acetyl-S-enzyme condenses with the second substrate, acetoacetyl CoA, to form enzyme-S-HMG-SCoA has been obtained by trapping and characterizing this putative intermediate. [14C]Acetyl-S-enzyme was incubated briefly at -25 degrees with acetoacetyl-CoA, precipitated with trichloroacetic acid, and the labeled acylated enzyme species were isolated. Performic acid oxidation of the precipitated [14C]acyl-S-enzyme intermediates produced volatile [14C]acetic acid from unreacted [14C]acetyl-S-enzyme and nonvolatile [14C]3-hydroxy-3-methyl glutaric acid from enzyme-S-[14C]HMG-SCoA. Condensation of unlabeled acetyl-S-enzyme with [14C]aceto-acetyl-CoA or acetoacetyl-[3H]CoA also produced labeled enzyme-S-HMG-SCoA. Thus, the acetyl moiety from acetyl-CoA and the acetoacetyl and CoA moieties from acetoacetyl-CoA all are incorporated into the HMG-CoA which is covalently-linked to the enzyme. Enzyme-S-[14C]HMG-SCoA was subjected to proteolytic digestion under conditions favorable for intramolecular S to N acyl transfer in the predicted cysteine-S-[14C]HMG-SCoA fragment. Performic acid oxidation of the protease-digested material yields N-[14C]HMG-cysteic acid indicating that HMG-CoA had been covalently bound to the enzyme via the -SH of an active site cysteine. An isotope trapping technique was employed to test the kinetic competence of acetyl-S-enzyme as an intermediate in the HMG-CoA synthase-catalyzed reaction. Evidence is presented which indicates that the rate of condensation of acetoacetyl-CoA with acetyl-S-enzyme to form enzyme-S-HMG-SCoA is more rapid than either the acetylation of the synthase by acetyl-CoA or the overall forward reaction leading to HMG-CoA. These observations, together with indirect evidence that hydrolysis of enzyme-S-HMG-SCoA is extremely rapid, suggest that acetylation of synthase is the rate-limiting step in HMG-CoA synthesis.

Acetates

Studies on regulatory functions of malic enzymes. V. Comparative studies of malic enzymes in bacteria.

Screening of four malic enzymes--NAD-linked enzyme [EC 1.1.1.38], NAD, NADP-linked enzyme [EC 1.1.1.39], NADP-linked enzyme [EC 1.1.1.40], and D-malic enzyme--was carried out with cell-free extracts of the following 16 strains of bacteria by the aid of Sepharose 6B column chromatography: 9 strains of enteric bacteria, 3 strains of Pseudomonas, Alcaligenes faecalis, Agrobacterium tumefaciens, Rhodospirillum rubrum, and Clostridium tetanomorphum. All the strains tested contained at least one malic enzyme. The NADP-linked enzyme activity was found in all the strains except C. tetanomorphum, the NAD-linked enzyme activity in 12 strains--8 strains of enteric bacteria, 2 strains of Pseudomonas, Ag. tumefaciens, and C. tetanomorphum--and D-malic enzyme activity in 4 strains--A, aerogenes (IFO 3319 and 12059), Ps. fluorescens, and R. rubrum. The NADP-linked and NAD-linked enzyme activities of two strains of Pseudomonas were not separated by the chromatography. The available evidence suggested that the NAD, NADP-linked enzyme was not present in these 16 strains. The comparative studies of molecular, enzymatic, and serological properties of the malic enzymes in these 16 strains revealed a close similarity of the same types of malic enzymes among enteric bacteria.

Alcaligenes

The constant proportion enzyme group concept in the selection of reference enzymes in metabolism.

Comparative analyses of enzyme activity patterns reveal groups of enzymes with constant proportions and enzymes with variable proportions of their maximum activities. Constant proportion groups comprise enzymes of unbranched metabolic sequences or functionally related pathways. Ratios of constant proportion groups reflect metabolic correlations, which may be used as discriminative magnitudes of metabolic specialization. Comparison of closely related muscles reveals that differences in the absolute levels of the constant proportion group enzymes of glycolysis parallel differences in maximum glycolytic flux rates. This holds for near-equilibrium as well as for non-equilibrium enzymes. In any case, maximum enzyme activities are significantly higher than maximum metabolic flux rates. Maximum enzyme activities therefore do not permit conclusions on maximum metabolic capacities to be drawn. They may, however, be compared in closely related tissues or different metabolic conditions of a given tissue as relative magnitudes of maximum flux rates. Reference enzymes of constant proportion groups as well as of other enzymes which are representative of distinct metabolic pathways may be used in this sense for the evaluation of enzyme activity patterns. Selection of appropriate enzymes depends on the aim of the intended study, on a thorough knowledge of their individual properties, and on the possibility of measuring their maximum activity under reproducible conditions.

Animals

Studies on regulatory functions of malic enzymes. VII. Structural and functional characteristics of sulfhydryl groups in NADP-linked malic enzyme from Escherichia coli W.

NADP-linked malic enzyme from Escherichia coli W contains 7 cysteinyl residues per enzyme subunit. The reactivity of sulfhydryl (SH) groups of the enzyme was examined using several SH reagents, including 5,5'-dithiobis(2-nitrobenzoic acid) (DTNB) and N-ethylmaleimide (NEM). 1. Two SH groups in the native enzyme subunit reacted with DTNB (or NEM) with different reaction rates, accompanied by a complete loss of the enzyme activity. The second-order modification rate constant of the "fast SH group" with DTNB coincided with the second-order inactivation rate constant of the enzyme by the reagent, suggesting that modification of the "fast SH group" is responsible for the inactivation. When the enzyme was denatured in 4 M guanidine HCl, all the SH groups reacted with the two reagents. 2. Althoug the inactivation rate constant was increased by the addition of Mg2+, an essential cofactor in the enzyme reaction, the modification rate constant of the "fast SH group" was unaffected. The relationship between the number of SH groups modified with DTNB or NEM and the residual enzyme activity in the absence of Mg2+ was linear, whereas that in the presence of Mg2+ was concave-upwards. These results suggest that the Mg2+-dependent increase in the inactivation rate constant is not the result of an increase in the rate constant of the "fast FH group" modification. 3. The absorption spectrum of the enzyme in the ultraviolet region was changed by addition of Mg2+. The dissociation constant of the Mg2+-enzyme complex obtained from the Mg2+- dependent increment of the difference absorption coincided with that obtained from the Mg2+- dependent enhancement of NEM inactivation. 4. Both the inactivation rate constant and the modification rate constant of the "fast SH group" were decreased by the addition of NADP+. The protective effect of NADP+ was increased by the addition of Mg2+. Based on the above results, the effects of Mg2+ on the SH-group modification are discussed from the viewpoint of conformational alteration of the enzyme.

Cysteine

The mitochondrial malic enzymes. I. Submitochondrial localization and purification and properties of the NAD(P)+-dependent enzyme from adrenal cortex.

Rat and calf adrenal cortex homogenates were found to contain three different malic enzymes. Two were strictly NADP+-dependent and were localized, one each, in the cytosol and the mitochondrial fractions, respectively. These two enzymes appear to be identical to those described by Simpson and Estabrook (Simpson, E. R., and Estabrook, R. W. (1969) Arch. Biochem. Biophys. 129, 384-395). The third was NAD(P)+-linked and was present in the mitochondrial fraction only. All three malic enzymes separated as distinct bands during electrophoresis on 5 percent polyacrylamide slab gels at pH 9.0. Marker enzymes and the mitochondrial malic enzymes migrated together in intact mitochondria during sucrose density gradient centrifugations despite changes in the equilibrium position of the mitochondria promoted by energy-dependent calcium phosphate accumulation. In adrenal cortex mitochondria subfractionated by the method of Sottocasa et al. (SOTTOCASA, G.L., KUYLENSTIERNA, B., ERNSTER, L., and BERGSTAND, A. (1967) J. Cell Biol. 32, 415-438), both malic enzymes were associated with the inner membrane-matrix space. Sonication solubilized the two malic enzymes along with the matrix space marker enzymes. The NAD(P)+-dependent malic enzyme was purified 100-fold from calf adrenal cortex mitochondria. The final preparation was free of malic dehydrogenase, fumarase, the strictly NADP+-linked malic enzyme and adenylate kinase. Either Mn24 orMg2+ was required for activity and 1 mol of pyruvate was formed for each mole of NAD+ and NADP+ reduced. The pH optima with NAD+ and NADP+ were 6.5 tp 7.0 and 6.0 to 6.5, respectively. Michaelis-Menten kinetics were observed on the alkaline side. Fumarate, succinate, and isocitrate were positive and ATP and ADP were negative modulators of the regulatory enzyme. The modulators did not influence the stoichiometry and they were not metabolized during the reaction. Under Vmax conditions the ratios for the rate of NAD+:NADP+ reduction were 1.76 and 1.15 at pH 7.4 and 6.0, respectively. The apparent Michaelis constants also differed depending on the pH and the coenzyme. At pH 7.4 (in the presence of 5 mM fumarate) and at pH 6.0 (no fumarate) the Km values for (-)-malate, NAD+, and Mn2+ were 1.7, 0.16, and 0.15 mM, and 0.31, 0.06, and 0.09 mM, respectively. At pH 7.4 (5MM fumarate) and pH 6.0 (no fumarate), the Km values for (-)-malate, NADP+, and Mn2+ were 6.5, 0.62, and 0.59 mM, and 0.68. 0.12, and 0.31 mM, respectively. The apparent Ki values for ATP with NAD+ and NADP+ as coenzyme were 0.42 and 0.27 mM, respectively.

Adrenal Cortex

Human prostatic acid phosphatases: purification of a minor enzyme and comparisons of the enzymes.

The minor enzyme of human prostatic acid phosphatases (pI 5.5) with high specific activity (orthophosphoric monoester phosphohydrolase, acid optimum, EC 3.1.3.2) has been purified for the first time as a pure enzyme protein. The enzyme was a single protein when examined by polyacrylamide gel electrophoresis and isotachophoresis. The specific activity was 1080 micromole per (min X mg) for hydrolysis of 5.5 mmole per liter of p-nitrophenylphosphate at pH 4.8 and 37 C. The purification coefficient was 540 and the recovery of enzyme activity was 2 per cent. The molecular weight of the enzyme subunit when measured by polyacrylamide gel electrophoresis in the presence of sodium dodecyl sulfate was 54,000. The Km of the purified enzyme was 3 X 10(-4) mole per liter for p-nitrophenylphosphate. An antiserum to this enzyme was prepared. The enzyme was cross-reactive with the main enzyme (pI 4.9) of human prostatic acid phosphatases in immunoelectrophoresis. No precipitin arc with the acid phosphatase in the serum of a prostatic carcinoma patient could be shown. Antiserum to the main enzyme caused a precipitin line with the same serum sample.

Acid Phosphatase

The role of enzyme degradation in enzyme turnover during tissue differentiation.

1. The role of enzyme degradation in enzyme turnover during tissue differentiation has been investigated by the use of equations based on the model of Berlin and Schimke (Mol. Pharmacol. 1 (1965) 149-156). 2. A digital computer has been used to calculate the change in enzyme amounts which would result from different changes in the rates of synthesis and degradation of an enzyme during cell differentiation. The energetics of these alternative processes have been compared. 3. The results demonstrate that changes in the rates of synthesis and degradation of an enzyme after a differentiation stimulus enhance the flexibility and rapidity of changes in enzyme amount during enzyme accumulation. Decreases in the rate of degradation of an enzyme during enzyme accumulation lead to a considerable saving of energy. 4. Hypotheses are proposed to account for the different modes of turnover of protein subgroups during cytodifferentiation in terms of specific changes in the rates of synthesis and degradation of the subgroups.

Cell Differentiation

DeepES: deep learning-based enzyme screening to identify orphan enzyme genes.

MOTIVATION: Progress in sequencing technology has led to determination of large numbers of protein sequences, and large enzyme databases are now available. Although many computational tools for enzyme annotation were developed, sequence information is unavailable for many enzymes, known as orphan enzymes. These orphan enzymes hinder sequence similarity-based functional annotation, leading gaps in understanding the association between sequences and enzymatic reactions. RESULTS: Therefore, we developed DeepES, a deep learning-based tool for enzyme screening to identify orphan enzyme genes, focusing on biosynthetic gene clusters and reaction class. DeepES uses protein sequences as inputs and evaluates whether the input genes contain biosynthetic gene clusters of interest by integrating the outputs of the binary classifier for each reaction class. The validation results suggested that DeepES can capture functional similarity between protein sequences, and it can be implemented to explore orphan enzyme genes. By applying DeepES to 4744 metagenome-assembled genomes, we identified candidate genes for 236 orphan enzymes, including those involved in short-chain fatty acid production as a characteristic pathway in human gut bacteria. AVAILABILITY AND IMPLEMENTATION: DeepES is available at https://github.com/yamada-lab/DeepES. Model weights and the candidate genes are available at Zenodo (https://doi.org/10.5281/zenodo.11123900).

Deep Learning