Series-type enzyme deactivations: Influence of intermediate activity on deactivation kinetics

A series-type enzyme deactivation model involving an active enzyme precursor is proposed wherein the enzyme activity is a weighted function of the active enzyme states. The active enzyme precursor may be less active, as active or more active than the initial enzyme form. The proposed model is shown to fit the soluble and immobilized enzyme deactivation data presented reasonably well. Some enzymes exhibit a ‘compensation-like’ effect. In other enzymes, if the deactivation rate coefficient for the second step, k₂, is zero, then the activity may stabilize to a value that depends upon the relative activities of the two active enzyme states.     

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.     

Starting D-optimal designs for batch kinetics studies of enzyme-catalyzed reactions in the presence of enzyme deactivation.

This paper describes a strategy for the starting experimental design of experiments required by general research in the field of biochemical kinetics. The type of experiments that qualify for this analysis involve batch reactions catalyzed by soluble enzymes where the activity of the enzyme decays with time. Assuming that the catalytic action of the enzyme obeys a Michaelis-Menten rate expression and that the deactivation of the enzyme follows a first-order decay, the present analysis employs the dimensionless, integrated form of the overall rate expression to obtain a criterion (based on the maximization of the determinant of the derivative matrix) that relates the a priori estimates of the parameters with the times at which samples should be withdrawn from the reacting mixture. The analysis indicates that the initial concentration of substrate should be as large as possible, and that the samples should be taken at times corresponding to substrate concentrations of approximately 2/3, 1/4, and I/epsilon of the initial concentration (where epsilon should be as large as possible).     

Kinetics of milk coagulation: I. The kinetics of kappa casein hydrolysis in the presence of enzyme deactivation

The kinetics of the primary phase of the enzymatic coagulation of milk, i.e., kappa-casein hydrolysis, was investigated in the presence and in the absence of concurrent enzyme deactivation processes. For conditions under which the enzyme is stable, the rate of hydrolysis can be described by Michaelis-Menten kinetics, as has been reported by previous investigators. A mathematical model, experimental data, and parameter estimates are provided for kappa-casein hydrolysis in the presence of concurrent deactivation of enzyme. The model accurately describes the experimental results when porcine pepsin was used as the renneting enzyme. The model and the experimental results indicate that samples of milk treated under conditions where deactivation of enzyme is significant can have fractional conversions of kappa-casein ranging from zero to unity and yet contain no active enzyme at the termination of the treatment.     

Enzyme deactivation in fixed bed reactors with michaelis-menten kinetics

Rate expression for enzyme poisoning which are consistent with a Michaelis-Menten main reaction are used to analyze the performance of a fixed bed reactor containing immobilized enzyme. When enzyme deactivation results from the irreversible bonding of a product molecule to an existing substrate-enzyme complex, it is shown that minimum enzyme activity can occur in the interior of the bed, well away from the ends. This suggests that bed sectioning techniques may enable direct evaluation of fundamental poisoning mechanisms.     

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.     

Solid-state enzyme deactivation in air and in organic solvents

Thermal deactivation of solid-state acid phosphates (E.C. 3.1.3.2, from potato) is analyzed, both in the presence and in the absence of organic solvents. The thermal deactivation profile departs from first order kinetics and shows an unusual activity. The process is described by a phenomenological equation, whose theoretical implications are also discussed. The total amount of buffer salts in the enzyme powder dramatically affects enzyme stability in the range 70xC to 105xC. The higher salt/protein ratio increases the rate of thermal deactivation. The deactivation rate is virtually unaffected by the presence of organic solvents, independent of their hydrophilicity. (c) 1994 John Wiley & Sons, Inc.     

Effect of activation energy microheterogeneity on first-order enzyme deactivation

The influence of microheterogeneity on enzyme inactivation kinetics is examined. A continuous normal distribution of the thermal activation energy is assumed, and using this, a simple mathematical model is developed to find the activity-time trajectories for a microheterogeneous enzyme. Using an example, the model is used to show the quantitative effects of microheterogeneity such as increased order and stability observed during an enzyme inactivation. Experimental measurement of the extent of microheterogeneity in an enzyme sample is also discussed.     

Theme and variations on kinetics of GPCR activation/deactivation

G protein-coupled receptors (GPCRs) initiate intracellular signaling pathways in response to physiologically and medically important extracellular ligands such as peptide and large glycoprotein hormones, neurotransmitters, sensory stimuli (odorant and taste molecules, light), calcium, l-amino acids, and are the target of many clinical drugs. The conversion of these extracellular stimuli into intracellular signals involves sequential and reversible reactions that initially take place at the plasma membrane. These reactions are mediated not only by dynamic interactions between ligands, receptors and heterotrimeric G proteins, but also by conformational changes associated with the activation/deactivation process of each protein. This review discusses the kinetic characteristics and rate-limiting reactions engaged in signal propagation that are involved in systems as diverse as neurotransmitter and hormonal signaling, and that have been recorded in live cells by Förster resonance energy transfer (FRET) approaches.     

Series mechanism of enzyme deactivation. Characterization of intermediate forms

Acid phosphatase (E.C. 3.1.3.2) undergoes complex thermal deactivation phenomena, as revealed by the two-slope pattern of the enzyme logarithmic-specific-activity versus time curves. The native enzyme first decays toward an equilibrium distribution of less, but still active, intermediate structures and these, in turn, undergo a final degradation to a completely inactive form. The effect of the experimental conditions at which the enzyme is kept during the deactivation process on the characteristics of these intermediate enzymatic structures has been investigated. The kinetic parameters of p-nitro-phenyl phosphate hydrolysis, as catalyzed by some of these intermediate forms, have been determined and the results compared to those obtained with the native enzyme.     

A novel pathway to enzyme deactivation: the cutinase model

Cutinase in aqueous solution at pH 4.5 deactivates following a parallel pathway. At 53 degrees C, 88% of the cutinase molecules are in the unfolded conformation, which can aggregate with a reaction order of 3 if the protein concentration is high (>/=12 microM). The aggregates show a sixfold increase in size as determined by dynamic light scattering. This aggregation process is the first phase observed during a deactivation experiment; however, after significant cutinase depletion and maturation of the aggregates, a first-order step starts to dominate and a second phase independent of the protein concentration is observed. Kinetic partitioning between aggregation and first-order irreversible changes of the unfolded conformation can occur during enzyme deactivation when the equilibrium between the native and the unfolded conformation is shifted and kept toward the unfolded conformation.     

Effect of immobilized enzyme deactivation in fixed- and fluid-bed reactors

A two-parameter theoretical model is developed to evaluate the effect of immobilized enzyme deactivation on substrate conversion in fixed- and fluid-bed reactors under diffusion-free conditions. The method describes a simple reaction in which three different immobilized enzyme deactivation forms are considered, and an expression is developed to evaluate the effect of immobilized enzyme deactivation on yield in a consecutive reaction. Comparison of reactor performances for the two reactor types reduces to a comparison of the appropriate dimensionless parameters. The practical implications of the development are illustrated through an example.     

The kinetics of the thermal deactivation of transglutaminase from guinea-pig liver

By incubating native (N) transglutaminase from guinea-pig liver at various temperatures and assaying it at 25 degrees C, two steps in the irreversible deactivation process to the denatured form (D) have been found. The fitting of the data to the equations of two possible models (the two-steps model and the two-isoenzymes model) is only compatible with the first one (N----X----D). It is shown that the structure of the active intermediate, X, depends on the deactivation temperature and on the thermal history of the enzyme. This may mean that transglutaminase exists in a large number of microstates. Surprisingly, the activation energy of deactivation is lower than that of activity (36.6 +/- 3.4 against 47.2 +/- 2.2 kJ.mol-1). By deactivating transglutaminase at a constant temperature (55 degrees C) and assaying it at variable temperatures, the activation energy of the intermediate, (X55), has been determined to be 40.2 +/- 5 kJ.mol-1, of the same order of magnitude as the native form. Among several agents assayed, only Ca2+ had a positive effect on the thermal stability of this enzyme. At 40 degrees C, transglutaminase was quite stable in the presence of Ca2+ (in its absence, the half-life was 65 min) and at 45 degrees C, its thermostability had been considerably increased, the half-life being raised from 47 min to 275 min.     

Peripheral N- and C-terminal domains determine deactivation kinetics of HCN channels

Among four subtypes of mammalian HCN channels, HCN1 has the fastest activation and deactivation kinetics while HCN4 shows the slowest. We previously showed that the activation kinetics are determined mainly by S1, S1-S2, and the S6-cyclic nucleotide binding domain. However, the effects of those regions on the deactivation kinetics were relatively small. Therefore, we investigated the structural basis for deactivation kinetics. Substitution of the core region (from S3 to S6) between HCN1 and HCN4 did not affect deactivation kinetics. This suggests that the peripheral regions (outside of S3 to S6) determine subtype-specific deactivation kinetics. Furthermore, we examined whether peripheral regions determined the deactivation kinetics across species by introducing the core region of DMIH (Drosophila homologue) into both HCN1 and HCN4. The DMIH core with HCN1 activated and deactivated more than threefold faster than that with HCN4. Taken together, the peripheral domains are diversified to create distinct kinetics.     

Optimal control of an enzyme reaction subject to enzyme deactivation. I. Batch process

This paper is concerned with the study of an enzymatic system in a repeated batch process where the enzyme is subject to deactivation. The particular system studied was the enzymatic hydrolysis of Penicillin G to 6-aminopenicillanic acid. Utilizing standard optimization techniques, pH and temperature control policies were determined that would maximize the product yield.