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PubMed1978

Steady-state kinetics of electron transfer through cytochrome chain of uncoupled submitochondrial particles. II. Influence of pH on kinetics of electron transfer.

pH Dependences of steady-state kinetic parameters of cytochrome chains of submitochondrial particles have been studies. It has been shown that the lifetimes of activated states (tau) of the pairs of cytochromes b leads to c1 and a leads to a3 have different pH dependences; those for the c1 leads to c and c leads to a cytochrome pairs being similar. The rate constants for the non-activated state of the respiratory chains decreased for the b leads to c1 pair and increased for the a leads to a3 pair when the pH value was increased. The values of pK calculated from these dependences for the pairs b leads to c1 and a leads to a3 were 7.2 and 8.9, respectively. It has been supposed that the ratio of activated to non-activated electron carriers may be controlled by the local pH value in the mitochondrial membrane, the latter being dependent upon the rate of electron transfer. The kinetic model based on this assumption allows one to explain the experimental dependences on pH of the rate constants for cytochromes b leads to c, and a leads to a3. The values of the diffusion rate constants for H+ and OH- ions in the mitochondrial membrane estimated from these kinetic data obtained in this study were 10(4)--10(5) s-1 and 10(2)--10(3) s-1, respectively.

Cytochrome c Group↗

PubMed1984

Kinetic studies of latent microsomal UDP-glucuronyltransferases. Kinetics of glucuronidation in intact and perturbant-treated membranes.

Double-reciprocal plots (with UDP-glucuronate as varied substrate) of the rate of glucuronidation of p-nitrophenol by the latent UDP-glucuronyltransferases of intact guinea pig and rat liver microsomal membranes (prepared with 154 mM KCl and 0.25 M sucrose) were continuously curved concave-downwards. Good fits to the kinetic data were obtained by using two different calculation methods which assume that two forms (high K and low K) of the transferase catalyse the reaction simultaneously. No evidence of cooperativity in binding of UDP-glucuronate to the enzyme was found. When latency of the enzymes of these preparations was destroyed by disrupting the membranes with Triton X-100 or lysophosphatidylcholine, double-reciprocal plots were linear. With guinea pig membranes, lysophosphatidylcholine generated an activated single-enzyme form obeying the simple Michaelis-Menten rate law; K for the activated species was close to that (K1) for the native low K form and its value of V was greater than the combined maximum velocities (V1 + V2) of the two forms in intact membranes. With rat membranes, both perturbants produced a single activated form also with V greater than (V1 + V2) and with K2 greater than K greater than K1. These results are discussed and are consistent with the view of transferase latency which envisages that there are two populations (buried and exposed) of enzyme molecules in intact microsomal membranes. The effects of membrane perturbants on the kinetic parameters of the two native transferase forms were assessed by accounting for the possibility that the reactivity of the buried transferase is controlled by the rate of transport of UDP-glucuronate across the membrane matrix. The data are compatible with a model which supposes that UDP-glucuronate gains access to the buried population by a process with the kinetic characteristics of a facilitated transport system.

Animals↗

PubMed1989

Analysis of fractal ion channel gating kinetics: kinetic rates, energy levels, and activation energies.

Ion channels in the cell membranes of the corneal endothelium, hippocampal neurons, and fibroblasts, and gramicidin channels in lipid bilayers have open and closed times that can be fit, in whole or part, by power law distributions. That is, the gating is self-similar when viewed at different time scales. Hence, kinetic processes at slow and fast time scales are not independent but rather are interrelated. To study how such a relationship can arise we analyze a closed in equilibrium open channel with the fractal dimension for leaving the closed state DCO approximately 2 and the fractal dimension for leaving the open state DOC approximately 1. This special case can be analyzed because it can be represented by equivalent Markov processes. We show that it is equivalent to Markov chains with forward and backward kinetic rate constants approximately equal at each stage, and forming an approximate geometric progression along the different stages. These kinetic rates determine the energy levels and activation energy barriers separating those levels. We find that there are many conformational states (substates) separated by high activation energy barriers. This is similar to the energy structure found for globular proteins such as myoglobin. However, the novel feature reported here is that the activation energy barriers are not independent but are interrelated and form an arithmetic progression. Because of this relationship the fast processes across the low activation energy barriers are linked to slow processes across the high activation energy barriers.

Endothelium, Corneal↗

PubMed1984

Kinetic study on the initial stage of the fibrinogen-fibrin conversion by thrombin. (II) Application of enzyme kinetics to turbidimetrical method.

The kinetic treatment of the initial stage of the fibrinogen-fibrin conversion, reported in our preceding paper, was improved. Presuming zero turbidity in the induction period, Ip, of turbidity-time curves, the zero concentration of fibrin monomer at the end of induction period was considered to be constant. At that time, the formation velocity of such smallest polymers of fibrin monomer as detectable by turbidimetry was represented by an equation similar to an equation described in the enzyme kinetics. The constant, Kmp, derived from our equation, corresponding to the Michaelis-Menten constant to be 1.79 X 10(-6) M, which is somewhat smaller than the Michaelis-Menten constant of proteolysis of fibrinogen by thrombin. Thus, it was concluded that practical and handy kinetic assay was possible on the initial stage of the fibrinogen-fibrin conversion.

Animals↗

PubMed1992

Preferred order random kinetic mechanism for homoserine dehydrogenase of Escherichia coli (Thr-sensitive) aspartokinase/homoserine dehydrogenase-I: equilibrium isotope exchange kinetics.

Isotope exchange kinetics at chemical equilibrium have been used to investigate the kinetic mechanism of homoserine dehydrogenase (EC 1.1.1.3) of the (Thr-sensitive) aspartokinase/homoserine dehydrogenase-I multifunctional enzyme from E. coli. For the reaction (L-ASA + NADPH + H+ = L-Hse + NADP+), at pH 9.0, 37 degrees C, Keq = 100 (+/- 20). Under these conditions, the rate for exchange of [14C]-L-homoserine (Hse) in equilibrium L-aspartate-beta-semialdehyde (ASA) is nearly twice that for the [3H]-NADP+ in equilibrium NADPH exchange. This indicates that covalent interconversion between reactants and products bound in the active site cannot be rate-limiting. Upon variation of the concentrations of all four substrates in constant ratio at equilibrium (to minimize dead-end complex formation), the Hse in equilibrium ASA exchange increased smoothly toward a maximum. In contrast, the NADP+ in equilibrium NADPH exchange rate increased to a maximum value at partial saturation, then decreased to approximately half the maximum rate. These data are consistent with a preferred-order random kinetic mechanism in which the dominant pathway involves association of NADPH prior to L-ASA and dissociation of L-Hse prior to NADP+.

Aspartic Acid↗

PubMed2000

Decay kinetics and quantum yields of fluorescence in photosystem I from Synechococcus elongatus with P700 in the reduced and oxidized state: are the kinetics of excited state decay trap-limited or transfer-limited?

Transfer and trapping of excitation energy in photosystem I (PS I) trimers isolated from Synechococcus elongatus have been studied by an approach combining fluorescence induction experiments with picosecond time-resolved fluorescence measurements, both at room temperature (RT) and at low temperature (5 K). Special attention was paid to the influence of the oxidation state of the primary electron donor P700. A fluorescence induction effect has been observed, showing a approximately 12% increase in fluorescence quantum yield upon P700 oxidation at RT, whereas at temperatures below 160 K oxidation of P700 leads to a decrease in fluorescence quantum yield ( approximately 50% at 5 K). The fluorescence quantum yield for open PS I (with P700 reduced) at 5 K is increased by approximately 20-fold and that for closed PS I (with P700 oxidized) is increased by approximately 10-fold, as compared to RT. Picosecond fluorescence decay kinetics at RT reveal a difference in lifetime of the main decay component: 34 +/- 1 ps for open PS I and 37 +/- 1 ps for closed PS I. At 5 K the fluorescence yield is mainly associated with long-lived components (lifetimes of 401 ps and 1.5 ns in closed PS I and of 377 ps, 1.3 ns, and 4.1 ns in samples containing approximately 50% open and 50% closed PS I). The spectra associated with energy transfer and the steady-state emission spectra suggest that the excitation energy is not completely thermally equilibrated over the core-antenna-RC complex before being trapped. Structure-based modeling indicates that the so-called red antenna pigments (A708 and A720, i.e., those with absorption maxima at 708 nm and 720 nm, respectively) play a decisive role in the observed fluorescence kinetics. The A720 are preferentially located at the periphery of the PS I core-antenna-RC complex; the A708 must essentially connect the A720 to the reaction center. The excited-state decay kinetics turn out to be neither purely trap limited nor purely transfer (to the trap) limited, but seem to be rather balanced.

Chlorophyll↗

PubMed1992

Computer modeling of fibrin polymerization kinetics correlated with electron microscope and turbidity observations: clot structure and assembly are kinetically controlled.

Although much is known about fibrin polymerization, because it is complex, the effects of various modifications are not intuitively obvious and many experimental observations remain unexplained. A kinetic model presented here that is based on information about mechanisms of assembly accounts for most experimental observations and allows hypotheses about the effects of various factors to be tested. Differential equations describing the kinetics of polymerization were written and then solved numerically. The results have been related to turbidity profiles and electron microscope observations. The concentrations of intermediates in fibrin polymerization, and fiber diameters, fiber and protofibril lengths have been calculated from these models. The simplest model considered has three steps; fibrinopeptide A cleavage, protofibril formation, and lateral aggregation of protofibrils to form fibers. The average number of protofibrils per fiber, which is directly related to turbidity, can be calculated and plotted as a function of time. The lag period observed in turbidity profiles cannot be accurately simulated by such a model, but can be simulated by modifying the model such that oligomers must reach a minimum length before they aggregate. Many observations, reported here and elsewhere, can be accounted for by this model; the basic model may be modified to account for other experimental observations. Modeling predicts effects of changes in the rate of fibrinopeptide cleavage consistent with electron microscope and turbidity observations. Changes only in the rate constants for initiation of fiber growth or for addition of protofibrils to fibers are sufficient to account for a wide variety of other observations, e.g., the effects of ionic strength or fibrinopeptide B removal or thrombospondin. The effects of lateral aggregation of fibers has also been modeled: such behavior has been observed in turbidity curves and electron micrographs of clots formed in the presence of platelet factor 4. Thus, many aspects of clot structure and factors that influence structure are directly related to the rates of these steps of polymerization, even though these effects are often not obvious. Thus, to a large extent, clot structure is kinetically determined.

Biophysical Phenomena↗

PubMed1992

Steady-state kinetics of solitary batrachotoxin-treated sodium channels. Kinetics on a bounded continuum of polymer conformations.

The underlying principles of the kinetics and equilibrium of a solitary sodium channel in the steady state are examined. Both the open and closed kinetics are postulated to result from round-trip excursions from a transition region that separates the openable and closed forms. Exponential behavior of the kinetics can have origins different from small-molecule systems. These differences suggest that the probability density functions (PDFs) that describe the time dependences of the open and closed forms arise from a distribution of rate constants. The distribution is likely to arise from a thermal modulation of the channel structure, and this provides a physical basis for the following three-variable equation: [formula; see text] Here, A0 is a scaling term, k is the mean rate constant, and sigma quantifies the Gaussian spread for the contributions of a range of effective rate constants. The maximum contribution is made by k, with rates faster and slower contributing less. (When sigma, the standard deviation of the spread, goes to zero, then p(f) = A0 e-kt.) The equation is applied to the single-channel steady-state probability density functions for batrachotoxin-treated sodium channels (1986. Keller et al. J. Gen. Physiol. 88: 1-23). The following characteristics are found: (a) The data for both open and closed forms of the channel are fit well with the above equation, which represents a Gaussian distribution of first-order rate processes. (b) The simple relationship [formula; see text] holds for the mean effective rat constants. Or, equivalently stated, the values of P open calculated from the k values closely agree with the P open values found directly from the PDF data. (c) In agreement with the known behavior of voltage-dependent rate constants, the voltage dependences of the mean effective rate constants for the opening and closing of the channel are equal and opposite over the voltage range studied. That is, [formula; see text] "Bursts" are related to the well-known cage effect of solution chemistry.

Batrachotoxins↗

PubMed1994

Transient state kinetics tutorial using the kinetics simulation program, KINSIM.

This article provides an introduction to a computer tutorial on transient state kinetics. The tutorial uses our Macintosh version of the computer program, KINSIM, that calculates the time course of reactions. KINSIM is also available for other popular computers. This program allows even those investigators not mathematically inclined to evaluate the rate constants for the transitions between the intermediates in any reaction mechanism. These rate constants are one of the insights that are essential for understanding how biochemical processes work at the molecular level. The approach is applicable not only to enzyme reactions but also to any other type of process of interest to biophysicists, cell biologists, and molecular biologists in which concentrations change with time. In principle, the same methods could be used to characterize time-dependent, large-scale processes in ecology and evolution. Completion of the tutorial takes students 6-10 h. This investment is rewarded by a deep understanding of the principles of chemical kinetics and familiarity with the tools of kinetics simulation as an approach to solve everyday problems in the laboratory.

Actins↗

PubMed2001

Inactivation kinetics of alkaline phosphatase and lactoperoxidase, and denaturation kinetics of beta-lactoglobulin in raw milk under isothermal and dynamic temperature conditions.

A detailed kinetic study of alkaline phosphatase, lactoperoxidase and beta-lactoglobulin was carried out in the context of identifying intrinsic time-temperature indicators for controlling the heat processing of milk. The heat inactivation or denaturation of alkaline phosphatase, lactoperoxidase and beta-lactoglobulin under isothermal conditions was found to follow first order kinetics. Experimental results were analysed using both a two step linear regression and a one step non-linear regression method. Results obtained using the two statistical techniques were comparable, but the 95% confidence interval for the predicted values was smaller when the one step non-linear regression method was used, indicating its superiority for estimating kinetic parameters. Thermal inactivation of alkaline phosphatase and lactoperoxidase was characterized by z values of 5.3 deg C (D60 degrees C = 24.6 min) and 4.3 deg C (D71 degrees C = 38.6 min) respectively. For the denaturation of beta-lactoglobulin we found z values of 7.9 deg C (D7.5 degrees C = 49.9 min) in the temperature range 70-80 degrees C and 24.2 deg C (D85 degrees C = 3.53 min) in the range 83-95 degrees C. Dref and z were evaluated under dynamic temperature conditions. To estimate the statistical accuracy of the parameters, 90% joint confidence regions were constructed.

Alkaline Phosphatase↗

PubMed1991

An induced-fit kinetic mechanism for DNA replication fidelity: direct measurement by single-turnover kinetics.

An exonuclease-deficient mutant of T7 DNA polymerase was constructed and utilized in a series of kinetic studies on misincorporation and next correct dNTP incorporation. By using a synthetic oligonucleotide template-primer system for which the kinetic pathway for correct incorporation has been solved [Patel, S.S., Wong, I., & Johnson, K. A. (1991) Biochemistry (first of three papers in this issue)], the kinetic parameters for the incorporation of the incorrect triphosphates dATP, dCTP, and dGTP were determined, giving, respectively, kcat/Km values of 91, 23, and 4.3 M-1 s-1 and a discrimination in the polymerization step of 10(5)-10(6). The rates of misincorporation in all cases were linearly dependent on substrate concentration up to 4 mM, beyond which severe inhibition was observed. Competition of correct incorporation versus dCTP revealed an estimated Ki of approximately 6-8 mM, suggesting a corresponding kcat of 0.14s-1. Moderate elemental effects of 19-, 17-, and 34-fold reduction in rates were measured by substituting the alpha-thiotriphosphate analogues for dATP, dCTP, and dGTP, respectively, indicating that the chemistry step is partially rate-limiting. The absence of a burst of incorporation during the first turnover places the rate-limiting step at a triphosphate binding induced conformational change before chemistry. In contrast, the incorporation of the next correct triphosphate, dCTP, on a mismatched DNA substrate was saturable with a Km of 87 microM for dCTP, 4-fold higher than the Kd for the correct incorporation on duplex DNA, and a kcat of 0.025 s-1. A larger elemental effect of 60, however, suggests a rate-limiting chemistry step. The rate of pyrophosphorolysis on a mismatched 3'-end is undetectable, indicating that pyrophosphorolysis does not play a proofreading role in replication. These results show convincingly that the T7 DNA polymerase discriminates against the incorrect triphosphate by an induced-fit conformational change and that, following misincorporation, the enzyme then selects against the resultant mismatched DNA by a slow, rate-limiting chemistry step, thereby allowing sufficient time for the release of the mismatched DNA from the polymerase active site to be followed by exonucleolytic error correction.

DNA Replication↗

PubMed2002

Neuronal nitric oxide synthase: substrate and solvent kinetic isotope effects on the steady-state kinetic parameters for the reduction of 2,6-dichloroindophenol and cytochrome c(3+).

The neuronal nitric oxide synthase (nNOS) basal and calmodulin- (CaM-) stimulated reduction of 2,6-dichloroindophenol (DCIP) and cytochrome c(3+) follow ping-pong mechanisms [Wolthers and Schimerlik (2001) Biochemistry 40, 4722-4737]. Primary deuterium [NADPH(D)] and solvent deuterium isotope effects on the kinetic parameters were studied to determine rate-limiting step(s) in the kinetic mechanisms for the two substrates. nNOS was found to abstract the pro-R (A-side) hydrogen from NADPH. Values for (D)V and (D)(V/K)(NADPH) were similar for the basal (1.3-1.7) and CaM-stimulated (1.5-2.1) reduction of DCIP, while (D)V (2.1-2.8) was higher than (D)(V/K)(NADPH) (1.1-1.5) for cytochrome c(3+) reduction with and without CaM. This suggests that the rate of the reductive half-reaction (NADPH oxidation) rather than that of the oxidative half-reaction (reduction of DCIP or cytochrome c(3+)) limits the overall reaction rate. A value for (D)(V/K)(NADPH) close to 1 indicates the intrinsic isotope effect on hydride transfer is suppressed by a slower step in the reductive half-reaction. The oxidative half-reaction is insensitive to NADPD isotope effects as both (D)(V/K)(DCIP) and (D)(V/K)(cytc) equal 1 within experimental error. Large solvent kinetic isotope effects (SKIE) observed for (V/K)(cytc) for basal (approximately 8) and CaM-stimulated (approximately 31) reduction of cytochrome c(3+) suggest that proton uptake from the solvent limits the rate of the oxidative half-reaction. This step does not severely limit the overall reaction rate as (D2O)V equaled 2 and (D2O)(V/K)(NADPH) was between 0.9 and 1.3 for basal and CaM-stimulated cytochrome c(3+) reduction.

2,6-Dichloroindophenol↗

PubMed1997

Quantitative kinetic model for photoassembly of the photosynthetic water oxidase from its inorganic constituents: requirements for manganese and calcium in the kinetically resolved steps,.

The process of photoactivation, the assembly of a functional water-oxidizing complex (WOC) from the apoproteins of photosystem II of higher plants and inorganic cofactors (Mn2+, Ca2+, and Cl-), was known from earlier works to be a two-step kinetic process, requiring two light-induced processes separated by a slower dark period. However, these steps had not been directly resolved in any kinetic experiment, until development of an ultrasensitive polarographic O2 electrode and synthesis of an improved chelator for cofactor removal allowed direct kinetic resolution of the first pre-steady state intermediate [Ananyev, G. M. & Dismukes, G. C. (1996a) Biochemistry 35, 4102-4109]. Herein, the dependence of the rates of each of the first two light steps and the dark step of photoactivation was directly determined in spinach PSII membranes over a range of calcium and manganese concentrations at least 10-fold lower than those possible using commercial O2 electrodes. The following results were obtained. (1) One Mn2+ ion binds and is photooxidized to Mn3+ at a high-affinity site, forming the first light-induced intermediate, IM1. Formation of IM1 is coupled to the dissociation of a bound Ca2+ ion either located in the Mn site or coupled to it. (2) The inhibition constant for Ca2+ dissociation from this site is equal to 1.5 mM. (3) The dissociation constant of Mn2+ at this high-affinity site is equal to 8 microM at the optimum calcium concentration for O2-evolving activity of 8 mM, in agreement with the high-affinity site for electron donation to PSII. (4) Prior to the next photolytic step, one Ca2+ ion must bind at its effector site so that stable photooxidation of a second Mn2+ ion can occur, forming the second light-induced intermediate, IM2. This dark process is the rate-determining step. (5) The Michaelis constant for recovery of O2 evolution by Ca2+ binding at this effector site (Km) is equal to 1.4 mM, a value that is the same as that measured for the calcium requirement for O2 evolution in intact PSII. (6) The low quantum yield for the formation of IM2 from IM1 increases linearly with the duration of the dark period up to the longest period we could examine (10 s). Accordingly, the rate limitation in the second photolytic step originates from a slow calcium-induced dark rearrangement of the first intermediate, IM1, which we propose to be a protein conformational change that allows stable binding of the next Mn2+ ion. We further propose that the single Ca2+ ion which is required for assembly of the Mn4 cluster is equivalent to the Ca2+ ion which functions at the "gatekeeper" site in intact O2-evolving centers, where it plays a role in limiting substrate access to the Mn4 cluster [Sivaraja, M., et al. (1989) Biochemistry 28, 9459-9464; Tso, J., et al., (1991) Biochemistry 30, 4734-4739]. A molecular model for photoactivation is proposed and discussed.

Calcium↗

PubMed2003

Palladium catalyzed kinetic and dynamic kinetic asymmetric transformations of gamma-acyloxybutenolides. Enantioselective total synthesis of (+)-Aflatoxin B1 and B2a.

The reaction of gamma-tert-butoxycarbonyloxy-2-butenolide with phenol nucleophiles in the presence of a Pd(0) complex with chiral ligands may be performed under conditions that favor either a kinetic resolution or a kinetic asymmetric transformation (KAT) or dynamic kinetic asymmetric transformation (DYKAT). Performing the reaction at high concentration (0.5 M) in the presence of a carbonate base favors the former, i.e., KAT; whereas, running the reaction at 0.1M in the presence of tetra-n-butylammonium chloride favors the DYKAT process. Syntheses of aflatoxin B(1) and B(2a) employs the DYKAT to introduce the stereochemistry. Starting with Pechmann condensation of the monomethyl ether of phloroglucinol, the requisite phenol nucleophile is constructed in two steps. The DYKAT proceeds with > 95% ee. A reductive Heck cyclization followed by a lanthanide catalyzed intramolecular acylation completes the synthesis of the pentacyclic nucleus in 3 steps. Reduction of the lactone provides aflatoxin B(2a) and its dehydration product B(1). This synthetic strategy creates an asymmetric synthesis of the former in only 7 steps and the latter in 9 steps. Thus, the ultimate synthetic sequence involves 3 + 5 --> 39 --> 40 --> 42 --> 43 --> 46 --> 47 --> 48 (aflatoxin B(2a)) --> 49 (aflatoxin B(1)).

4-Butyrolactone↗

PubMed2002

Enzymatic kinetic resolution and chemoenzymatic dynamic kinetic resolution of delta-hydroxy esters. An efficient route to chiral delta-lactones.

A successful kinetic resolution of a racemic mixture of delta-hydroxy esters 1 was obtained via lipase-catalyzed transesterification (E value up to 360). The combination of the enzymatic kinetic resolution with a ruthenium-catalyzed alcohol racemization led to an efficient dynamic kinetic resolution (ee up to 99% and conversion up to 92%). The synthetic utility of this procedure was illustrated by the practical syntheses of delta-lactones (R)-6-methyl- and (R)-6-ethyl-tetrahydropyran-2-one and (S)-5-(tert-butyldimethylsiloxy)heptanal. The former are important building blocks in the synthesis of natural products and biologically active compounds, and the latter is a key intermediate in the synthesis of widely used commercial insecticide Spinosyn A.

Aspergillus↗

PubMed1980

Deviations from Michaelis-Menten kinetics. The possibility of complicated curves for simple kinetic schemes and the computer fitting of experimental data for acetylcholinesterase, acid phosphatase, adenosine deaminase, arylsulphatase, benzylamine oxidase, chymotrypsin, fumarase, galactose dehydrogenase, beta-galactosidase, lactate dehydrogenase, peroxidase and xanthine oxidase.

The possible graph shapes for one-site/two-state and substrate-modifier models are discussed. The two-state model is a version of the Monod-Wyman-Changeux model and gives a rate equation with 240 denominator terms. Discussion in terms of K and V effects is not possible. A simplified version of the mechanism can be shown to give v-versus-[S] curves that are either sigmoid or non-sigmoid. They may show substrate inhibition or no final maximum, and the double-reciprocal plots can be concave up or down. The corresponding binding model is determined by only two constants and gives a linear double-reciprocal plot. The substrate-modifier mechanism is a simple example of a mechanism where inclusion of catalytic steps leads to a genuine increase in degree of the rate equation. The v-versus-[S] curve can show such complexities as two maxima and a minimum, and the double-reciprocal plot can cross its asymptote twice, proving the rate equation to be 4:4. A simplified version is 3:3, and analysis shows that at least 18 of the 27 double-reciprocal plots that can arise with 3:3 functions are possible with this particular mechanism. Representative double-reciprocal and Scatchard plots are presented for several sets of rate-constant values. It is concluded that relatively simple mechanisms give pseudo-steady-state rate equations of high degree and considerable complexity. With extended ranges of substrate concentrations there is every reason to believe that experimental data would show the sort of deviations from Michaelis-Menten kinetics seen with calculated curves for such simple mechanisms. Narrow ranges of substrate concentration, on the other hand, would lead to inflexions and curvature being overlooked. It is not possible to discuss such deviations from Michaelis-Menten kinetics in terms of kinetic constants such as Km and V, and, in general, it is also difficult to see any simple way to explain intuitively such features as sigmoidicity, substrate inhibition, double-reciprocal convexity and decrease in degree by cancellation of common factors between numerator and denominator of rate equations. These conclusions apply with even more force when catalytic steps are included, for then the rate equations, are for multi-site mechanisms, of higher degree, allowing increasingly complex curve shapes. A number of enzymes were studied and initial-rate data were fitted by computer.(ABSTRACT TRUNCATED AT 400 WORDS)

Acetylcholinesterase↗

PubMed2002

Stopped-flow kinetic studies of electron transfer in the reductase domain of neuronal nitric oxide synthase: re-evaluation of the kinetic mechanism reveals new enzyme intermediates and variation with cytochrome P450 reductase.

The reduction by NADPH of the FAD and FMN redox centres in the isolated flavin reductase domain of calmodulin-bound rat neuronal nitric oxide synthase (nNOS) has been studied by anaerobic stopped-flow spectroscopy using absorption and fluorescence detection. We show by global analysis of time-dependent photodiode array spectra, single wavelength absorption and NADPH fluorescence studies, that at least four resolvable steps are observed in stopped-flow studies with NADPH and that flavin reduction is reversible. The first reductive step represents the rapid formation of an equilibrium between an NADPH-enzyme charge-transfer species and two-electron-reduced enzyme bound to NADP(+). The second and third steps represent further reduction of the enzyme flavins and NADP(+) release. The fourth step is attributed to the slow accumulation of an enzyme species that is inferred not to be relevant catalytically in steady-state reactions. Stopped-flow flavin fluorescence studies indicate the presence of slow kinetic phases, the timescales of which correspond to the slow phase observed in absorption and NADPH fluorescence transients. By analogy with stopped-flow studies of cytochrome P450 reductase, we attribute these slow fluorescence and absorption changes to enzyme disproportionation and/or conformational change. Unlike for the functionally related cytochrome P450 reductase, transfer of the first hydride equivalent from NADPH to nNOS reductase does not generate the flavin di-semiquinoid state. This indicates that internal electron transfer is relatively slow and is probably gated by NADP(+) release. Release of calmodulin from the nNOS reductase does not affect the kinetics of inter-flavin electron transfer under stopped-flow conditions, although the observed rate of formation of the equilibrium between the NADPH-oxidized enzyme charge-transfer species and two-electron-reduced enzyme bound to NADP(+) is modestly slower in calmodulin-depleted enzyme. Our studies indicate the need for significant re-interpretation of published kinetic data for electron transfer in the reductase domain of neuronal nitric oxide synthase.

Animals↗

PubMed1991

Structure-function relationships in the cysteine proteinases actinidin, papain and papaya proteinase omega. Three-dimensional structure of papaya proteinase omega deduced by knowledge-based modelling and active-centre characteristics determined by two-hydronic-state reactivity probe kinetics and kinetics of catalysis.

1. A model of the three-dimensional structure of papaya proteinase omega, the most basic cysteine proteinase component of the latex of papaya (Carica papaya), was built from its amino acid sequence and the two currently known high-resolution crystal structures of the homologous enzymes papain (EC 3.4.22.2) and actinidin (EC 3.4.22.14). The method used a knowledge-based approach incorporated in the COMPOSER suite of programs and refinement by using the interactive graphics program FRODO on an Evans and Sutherland PS 390 and by energy minimization using the GROMOS program library. 2. Functional similarities and differences between the three cysteine proteinases revealed by analysis of pH-dependent kinetics of the acylation process of the catalytic act and of the reactions of the enzyme catalytic sites with substrate-derived 2-pyridyl disulphides as two-hydronic-state reactivity probes are reported and discussed in terms of the knowledge-based model. 3. To facilitate analysis of complex pH-dependent kinetic data, a multitasking application program (SKETCHER) for parameter estimation by interactive manipulation of calculated curves and a simple method of writing down pH-dependent kinetic equations for reactions involving any number of reactive hydronic states by using information matrices were developed. 4. Papaya proteinase omega differs from the other two enzymes in the ionization characteristics of the common (Cys)-SH/(His)-Im+H catalytic-site system and of the other acid/base groups that modulate thiol reactivity towards substrate-derived inhibitors and the acylation process of the catalytic act. The most marked difference in the Cys/His system is that the pKa for the loss of the ion-pair state to form -S-/-Im is 8.1-8.3 for papaya proteinase omega, whereas it is 9.5 for both actinidin and papain. Papaya proteinase omega is similar to actinidin in that it lacks the second catalytically influential group with pKa approx. 4 present in papain and possesses a catalytically influential group with pKa 5.5-6.0. 5. Papaya proteinase omega occupies an intermediate position between actinidin and papain in the sensitivity with which hydrophobic interaction in the S2 subsite is transmitted to produce changes in transition-state geometry in the catalytic site, a fact that may be linked with differences in specificity in P2-S2 interaction exhibited by the three enzymes.(ABSTRACT TRUNCATED AT 400 WORDS)

Amino Acid Sequence↗