A mathematical analysis of enzyme stabilization by a series-type mechanism: Influence of chemical modifiers

A series-type enzyme deactivation model is utilized to theoretically analyze and to quantify the effect of chemical modifier concentration on the eventual level of enzyme activity stabilization, alpha(2). An increase in the concentration of phosphate ion and NADP increases alpha(2) for the enzymes studied. One example of each enzyme deactivation is given wherein the introduction of chemical modifiers changes the deactivation mechanism from a single-step to a series-type mechanism, and from a series-type to a single-step mechanism. Simple empirical equations are proposed to quantify the effect of chemical modifier concentration on alpha(2).     

Enzyme deactivation

Enzyme deactivation kinetics is often first-order. Different examples of first-order deactivation kinetics exhibited by different enzymes under a wide variety of conditions are presented. Examples of both soluble and immobilized enzymes are presented. The influence of different parameters, chemical modification of specific residues, inhibitors, inactivators, protecting agents, induced conformational changes by external agents, enzyme concentration, and different substrates on the first-order inactivation kinetics of different enzymes is analyzed. The different examples presented from a variety of different areas provides a judicious framework and collection demonstrating the wide applicability of first-order deactivation kinetics. Examples of reversible first-order deactivation kinetics and deactivation-disguise kinetics are also presented.Different mechanisms are also presented to model complex enzyme deactivations. The non-series type mechanisms are emphasized and these involve the substrate and chemical modifiers. Substrate-dependent deactivation rate expressions that are of "separable" and "non-separable" type are presented. Rate expressions involving time-dependent rate constants along with their corresponding mechanisms are presented. Examples of enzymes that exhibit a deactivation-free grace period are also given. An interesting case of enzyme inactivation is the loss of activity in the presence of an auto-decaying reagent. The method is presented by which the intrinsic inactivation rate constants may be obtained. Examples of pH-dependent enzyme inactivation are presented that may be modelled by a five-step (or a simplified two-step) mechanism, and also by a single-step mechanism involving residual activity for the final state. Appropriate examples of enzyme inactivation are presented in each case to highlight the different mechanisms involved.     

Ultrasonic and thermal inactivation of catalases from the bovine liver, the methylotrophic yeast Pichia pastoris, and the fungus Penicillium piceum

The kinetics of inactivation of catalases from bovine liver (CAT), the fungus Penicillium piceum (CAT1), and the methylotrophic yeast Pichia pastoris (CAT2) was studied in phosphate buffer (pH 5.5 or 7.4) at 45 and 50 degrees C or under the conditions of exposure to low-frequency ultrasound (LFUS; 27 kHz, 60 W/cm2). The processes were characterized by effective first-order rate constants (s(-1)): kin (total inactivation), k*in in (thermal inactivation), and k*in (us) (ultrasonic inactivation). The values of kin and k*in increased in the following order: CAT1 < CAT < CAT2. CD spectra of the enzyme solutions were recorded in the course of inactivation by high temperatures (45 and 50 degrees C) and LFUS, and the ratios of secondary structures were calculated. Processes of thermal and ultrasonic inactivation of catalases were associated with a decrease in the content of alpha helices and an increase in that of antiparallel beta structures and irregular regions (CAT1 < CAT < CAT2). We conclude that the enzymes exhibit the following rank order of resistance: CAT1 > CAT >CAT2. Judging from the characteristics of CAT1, it appears to be an optimum component for antioxidant enzyme complexes.     

Influence of modifying agents on enzyme inactivation studies. An analysis using a series mechanism and a form of the Hill-type equations

A series deactivation model is utilized to theoretically examine the influence of different modifying agents on enzyme deactivation kinetics. A form of the Hill-type equation is used to describe the effect of the modifying agents on the model parameters. Modification-induced inactivation equations are presented for the acetylation and succinylation of E. Coli asparaginase, for the site-specific reagent and substrate modification of flavocytochrome b(2) from Baker's yeast, and for the guanidinium chloride inactivation of cathepsin D. The analysis of more data for these and other enzymes would help further substantiate the technique presented and enhance the applicability of the model.     

Microheterogeneity of enzymes and deactivation

The influence of microheterogeneity on enzyme inactivation kinetics is presented. Examples of different enzymes are given where microheterogeneity has been detected by different techniques. The different statistical models are presented which include the influence of microheterogeneity on enzyme inactivation kinetics and stability. As the microheterogeneity of the enzyme increases, there is a sharper decline in the normalized activity during the initial stages of the deactivation but a greater stability and activity, compared to similar homogeneous enzyme, as the deactivation proceeds. Microheterogeneity makes the deactivation reaction have a higher apparent order of reaction. The implications of microheterogeneity on enzyme inactivations are high lighted by different examples. The analysis provides fresh physical insights into the chemistry, subpopulations, structure, and function of enzymes.     

Mechanistic analysis of complex enzyme deactivations: influence of various parameters on series-type inactivations

A series-type enzyme deactivation model is used to model and to quantitate some more complex enzyme deacti-vations. The influence of temperature, pH, immobilization, chemical modifier (inhibitor or protector), substrate, and metal ion on the inactivation kinetics and on the parameter values is examined. In some cases the influence of two parameters on enzyme inactivations is presented. This provides further physical insights into enzyme inactivation and stabilization processes.     

pH-Dependent enzyme deactivation models

A pH-dependent "series-type" enzyme deactivation model using rapid protonation and deprotonation equilibria and the relatively slower inactivation rates is presented. From the enzyme activity-time trajectories at different pH the models presented permit the evaluation of some of the protonation and inactivation rate constants as well as the specific activities of the different enzyme forms. pH dependence of enzyme deactivations may also exhibit deactivation disguised kinetics. Three different examples of pH-dependent enzyme deactivations available in the literature are appropriately modeled to indicate the general applicability of the model. The model presented is consistent with the data and provides mechanistic insights into the pH-dependent deactivation of different enzymes.     

Stabilization of alkaline proteinase and cellulases via complex formation with chitosan for use as detergent components

An effective approach to the stabilization of hydrolytic enzymes (alkaline proteinase and cellulases) via the complex formation with chitosan for their further use as detergent components has been developed. Interaction with chitosan results in a 35–50% increase in the level of catalytic activity of the enzymes after incubation for 60 min under the conditions of detergent use (alkaline pH, increased temperature, the presence of anionic surfactants) as compared to the system in the absence of chitosan both due to the enzyme stabilization and the increase of the starting level of catalytic activity. A twofold decrease of the enzyme inactivation constant is observed under the aforementioned conditions in the case of alkaline proteinase. In the case of cellulase preparation, the method for the control of the concentration of the active enzyme in the system modeling synthetic detergents has been suggested. The method is based on the enzymatic destruction of the stabilizing agent, chitosan, by enzymes of the cellulase complex. The destruction of chitosan removed the stabilizing effect, thus resulting in the inactivation of cellulases. The developed approaches allow for the widening of the field of the possible application of enzymes as detergent components.     

Suicide-peroxide inactivation of horseradish peroxidase in the presence of sodium n-dodecyl sulphate: a study of the enzyme deactivation kinetics

In the presence of the anionic surfactant sodium n-dodecyl sulphate (SDS), horseradish peroxidase (HRP) undergoes a deactivation process. Suicide inactivation of horseradish peroxidase by hydrogen peroxide(3 mM) was monitored by the absorbance change in product formation in the catalytic reaction cycle. The progress curve of the catalytic reaction cycle was obtained at 27degrees C and phosphate buffer 2.5 mM (pH = 7.0). The corresponding kinetic parameters i.e., intact enzyme activity (alpha i); the apparent rate constant of suicide inactivation by peroxide (ki); and the apparent rate constants of enzyme deactivation by surfactant (kd) were evaluated from the obtained kinetic equations. The experimental data are accounted for by the equations used in this investigation. Addition of SDS to the reaction mixture intensified the inactivation process. The deactivation ability of denaturant could be resolved from the observed inactivation effect of the suicide substrate by applying the proposed model. The results indicate that the deactivation and the inactivation processes are independent of each other.     

Reactions of the class II peroxidases, lignin peroxidase and Arthromyces ramosus peroxidase, with hydrogen peroxide. Catalase-like activity, compound III formation, and enzyme inactivation

The reactions of the fungal enzymes Arthromyces ramosus peroxidase (ARP) and Phanerochaete chrysosporium lignin peroxidase (LiP) with hydrogen peroxide (H(2)O(2)) have been studied. Both enzymes exhibited catalase activity with hyperbolic H(2)O(2) concentration dependence (K(m) approximately 8-10 mm, k(cat) approximately 1-3 s(-1)). The catalase and peroxidase activities of LiP were inhibited within 10 min and those of ARP in 1 h. The inactivation constants were calculated using two independent methods; LiP, k(i) approximately 19 x 10(-3) s(-1); ARP, k(i) approximately 1.6 x 10(-3) s(-1). Compound III (oxyperoxidase) was detected as the majority species after the addition of H(2)O(2) to LiP or ARP, and its formation was accompanied by loss of enzyme activity. A reaction scheme is presented which rationalizes the turnover and inactivation of LiP and ARP with H(2)O(2). A similar model is applicable to horseradish peroxidase. The scheme links catalase and compound III forming catalytic pathways and inactivation at the level of the [compound I.H(2)O(2)] complex. Inactivation does not occur from compound III. All peroxidases studied to date are sensitive to inactivation by H(2)O(2), and it is suggested that the model will be generally applicable to peroxidases of the plant, fungal, and prokaryotic superfamily.     

Molecular asymmetry in alkaline phosphatase of Escherichia coli

Thermal inactivation of alkaline phosphatase of Escherichia coli has been studied at different temperatures (45 to 70 degrees C) and pHs (7.5, 9.0, and 10.0) for the commercial, buffer-dialyzed (pH 9.0) and EDTA-dialyzed (pH 9.0) enzymes. In each case, the inactivation exhibits biphasic kinetics consistent with the rate equation, (formula; see text) where A0 and A are activities at time zero and t, and k1 and k2 are first-order rate constants for the fast and slow phase, respectively. Values of k1 and k2 change independently with temperature, pH, and pretreatment (dialysis) of the enzyme. Time course of inactivation of the enzyme with excess EDTA and effect of Zn2+ ion concentration on the activity of EDTA-dialyzed enzyme have been investigated. The data suggest that the dimeric enzyme protein has two types of catalytic sites which have equal catalytic efficiency (or specific activity) but differ in several other properties. Structural implications of these results have been discussed.     

Specific properties of T-type calcium channels generated by the human alpha 1I subunit

We have cloned and expressed a human alpha(1I) subunit that encodes a subtype of T-type calcium channels. The predicted protein is 95% homologous to its rat counterpart but has a distinct COOH-terminal region. Its mRNA is detected almost exclusively in the human brain, as well as in adrenal and thyroid glands. Calcium currents generated by the functional expression of human alpha(1I) and alpha(1G) subunits in HEK-293 cells were compared. The alpha(1I) current activated and inactivated approximately 10 mV more positively. Activation and inactivation kinetics were up to six times slower, while deactivation kinetics was faster and showed little voltage dependence. A slower recovery from inactivation, a lower sensitivity to Ni(2+) ions (IC(50) approximately 180 micrometer), and a larger channel conductance (approximately 11 picosiemens) were the other discriminative features of the alpha(1I) current. These data demonstrate that the alpha(1I) subunit encodes T-type Ca(2+) channels functionally distinct from those generated by the human alpha(1G) or alpha(1H) subunits and point out that human and rat alpha(1I) subunits have species-specific properties not only in their primary sequence, but also in their expression profile and electrophysiological behavior.     

Rational protein modification leading to resistance of enzymes to TiO2-UV irradiation-induced inactivation

Photoexcited TiO2 degrades biomolecules such as nucleic acids, cell membrane proteins, and enzymes. Stabilization of enzyme activity against the deactivation caused by the combination of TiO2-UV is essential if we are to develop novel hybrid materials exhibiting photocatalytic and biocatalytic activities useful for decontamination applications. In this paper we describe the stabilization of a model enzyme, chymotrypsin, against TiO2-UV-induced deactivation by conjugating the enzyme with UV-absorbing, carboxyl-terminated oligo[2-[3-(2H-benzotriazol-2-yl)-4-hydroxyphenyl]ethyl methacrylate] [oligo(HBMA)-COOH]. Chymotrypsin was completely deactivated within 3 h, whereas the chymotrypsin-oligo(HBMA) conjugate retained > 50% activity even after 5 h of exposure to TiO2-UV (lambdamax 365 nm). The degree of enzyme stabilization induced by the conjugated UV absorber was 2-fold higher than that from the equivalent number of conjugated PEG chains. Spectroscopic characterizations revealed that chymotrypsin-oligo(HBMA) absorbs UV light and initially resists photoexcitation of TiO2. Modified chymotrypsin also exhibited resistance to changes in the secondary structure during the deactivation. This method of stabilizing enzymes against photodegradation could be also useful in photolithographic enzyme immobilizations for sensors and arrays or for stabilization of any UV-sensitive protein.     

Rapid kinetics of regulator of G-protein signaling (RGS)-mediated Galphai and Galphao deactivation. Galpha specificity of RGS4 AND RGS7

Regulator of G-protein signaling (RGS) proteins accelerate GTP hydrolysis by Galpha subunits speeding deactivation. Galpha deactivation kinetics mediated by RGS are too fast to be directly studied using conventional radiochemical methods. We describe a stopped-flow spectroscopic approach to visualize these rapid kinetics by measuring the intrinsic tryptophan fluorescence decrease of Galpha accompanying GTP hydrolysis and Galpha deactivation on the millisecond time scale. Basal k(cat) values for Galpha(o), Galpha(i1), and Galpha(i2) at 20 degrees C were similar (0.025-0.033 s(-1)). Glutathione S-transferase fusion proteins containing RGS4 and an RGS7 box domain (amino acids 305-453) enhanced the rate of Galpha deactivation in a manner linear with RGS concentration. RGS4-stimulated rates could be measured up to 5 s(-1) at 3 microm, giving a catalytic efficiency of 1.7-2.8 x 10(6) m(-1) s(-1) for all three Galpha subunits. In contrast, RGS7 showed catalytic efficiencies of 0.44, 0.10, and 0.02 x 10(6) m(-1) s(-1) toward Galpha(o), Galpha(i2), and Galpha(i1), respectively. Thus RGS7 is a weaker GTPase activating protein than RGS4 toward all Galpha subunits tested, but it is specific for Galpha(o) over Galpha(i1) or Galpha(i2). Furthermore, the specificity of RGS7 for Galpha(o) does not depend on N- or C-terminal extensions or a Gbeta(5) subunit but resides in the RGS domain itself.     

Transient model of thermal deactivation of enzymes

The kinetics of enzyme deactivation provide useful insights on processes that determine the level of biological function of any enzyme. Photinus pyralis (firefly) luciferase is a convenient enzyme system for studying mechanisms and kinetics of enzyme deactivation, refolding, and denaturation caused by various external factors, physical or chemical by nature. In this report we present a study of luciferase deactivation caused by increased temperature (i.e., thermal deactivation). We found that deactivation occurs through a reversible intermediate state and can be described by a Transient model that includes active and reversibly inactive states. The model can be used as a general framework for analysis of complex, multiexponential transient kinetics that can be observed for some enzymes by reaction progression assays. In this study the Transient model has been used to develop an analytical model for studying a time course of luciferase deactivation. The model might be applicable toward enzymes in general and can be used to determine if the enzyme exposed to external factors, physical or chemical by nature, undergoes structural transformation consistent with thermal mechanisms of deactivation.     

Identification of a histidyl residue in the active center of endoglucanase D from Clostridium thermocellum

Diethylpyrocarbonate modification of endoglucanase D from Clostridium thermocellum, cloned in Escherichia coli, resulted in a rapid but partial (maximally 70-80%) loss of activity. The second-order rate constant of inactivation proved to be exceptionally high (3210 M-1.min-1). A 3-fold reduction of the kcat and a 2-fold increase of the Km for 2'-chloro-4'-nitrophenyl beta-cellobioside were observed. Spectrophotometric analysis indicate the presence of one rapidly (k = 0.45 min-1) and two slower (k = 0.23 min-1) reacting histidyl residues. In the presence of 50 mM methyl beta-cellotrioside, the rate of inactivation was reduced 16-fold, and the kinetics of modification were compatible with the protection of 1 histidyl residue. Since peptide analysis was inconclusive, identification of the critical residue was attempted by site-directed mutagenesis. Each of the 12 histidyl residues present in the endoglucanase D sequence was mutated into either Ala or Ser. Seven of the mutant enzymes had specific activities lower than 50% of the wild-type. Only in the case of the Ser-516 mutant, however, was the residual activity not affected by diethyl pyrocarbonate. These findings suggest an important functional or structural role for His-516 in the wild-type enzyme.     

Metabolic activation of AMP kinase in vascular smooth muscle.

AMP-activated kinase (AMPK) is a highly conserved heterotrimeric kinase that functions as a metabolic master switch to coordinate cellular enzymes involved in carbohydrate and fat metabolism that regulate ATP conservation and synthesis. AMPK is activated by conditions that increase AMP-to-ATP ratio, such as exercise and metabolic stress. In the present study, we probed whether AMPK was expressed in vascular smooth muscle and would be activated by metabolic stress. Endothelium-denuded porcine carotid artery segments were metabolically challenged with 2-deoxyglucose (10 mM) plus N(2) (N(2)-2DG). These vessels exhibited a rapid increase in AMPK activity by 1 min that was near maximal by 20 min. AMPK inactivation on return to normal physiological saline was approximately 50% in 1 min and fully recovered by 5 min. Immunoprecipitation of the alpha(1)- and alpha(2)-catalytic subunit followed by immunoblot analysis for [P]Thr(172)-AMPK indicates that alpha(1)-AMPK accounts for all activity. Little if any alpha(2)-AMPK was detected in carotid smooth muscle. AMPK activity was not increased by contractile agonist (endothelin-1) or by the reported AMPK activators 5-aminoimidazole-4-carboxamide ribofuranoside (2 mM), metformin (2 mM), or phenformin (0.2 mM). AMPK activation by N(2)-2DG was associated with a rapid and pronounced reduction in endothelin-induced force and reduced phosphorylation of Akt and Erk 1/2. These data demonstrate that AMPK expression differs in vascular smooth muscle compared with striated muscles and that activation and inactivation after metabolic stress occur rapidly and are associated with signaling pathways that may regulate smooth-muscle contraction.