Phosphorylation reaction of vertebrate smooth muscle myosin: an enzyme kinetic analysis

Phosphorylation of vertebrate smooth muscle myosin or its isolated 20 000-dalton light chains by myosin light-chain kinase (MLCK) was found to follow first-order kinetics not only at low ([M] much less than Km) but also at high ([M] greater than or equal to Km) substrate concentration. This observation can most simply be explained by a product inhibition for which the Michaelis constants (Km) of the enzyme for the substrate (dephosphorylated myosin) and for the product (phosphorylated myosin) are approximately the same. For such a case, integration of the kinetic velocity equation gives an exponential formula similar to that of a true first-order reaction, the only difference being that its rate constant (k) depends additionally on the initial substrate concentration ([M]0). The standard kinetic constants (k, Km, Vmax) have been calculated by using this pseudo-first-order relationship. Independent evidence for the validity of the derived kinetic relationship was obtained from binding studies with myosin and MLCK. These showed that MLCK binds to phosphorylated and dephosphorylated myosin with approximately equal affinity (Ks = 30 X 10(-9) M). The possible applicability of the same kinetic relationship to other enzyme systems is discussed.     

Binding and hydrolysis of ATP by cardiac myosin subfragment 1: effect of solution parameters on transient kinetics

Transient kinetic data of ATP binding and cleavage by cardiac myosin subfragment 1 (S1) were obtained by fluorescence stopped flow and analyzed by using computer modeling based on a consecutive, reversible two-step mechanism: (formula: see text) where M1 and M12 denote myosin species with enhanced fluorescence and K'O = K0/(K0[ATP] + 1). The kinetic constants K0, k12, k23, and k32 and the fractional contributions of M1 and M12 to the total fluorescence are analyzed over a range of systematically varied solution parameters. The initial ATP binding equilibrium (K0), which decreases with increasing pH, is facilitated by a positively charged protein residue with a pK of 7.1. An active-site charge of +1.5 is determined from the ionic strength dependence. The rate constants k12, k23, and k32 also exhibit pK's near neutrality but increase with increasing pH. The majority of the large (-54 kJ/mol) negative free energy of ATP binding occurs upon S1 isomerization, k12, and a large increase in entropy (183 J/kmol at 15 degrees C) is associated with the cleavage step. The equilibrium constant for the cleavage step, K2, is determined as 3.5 at pH 7.0, 15 degrees C, and 200 mM ionic strength. There are no significant changes in fractional contributions to total fluorescence enhancement due to solvent-dependent conformational changes of S1 in these data. When values for the combined rate constants are calculated and compared with those determined by graphical analysis, it is observed that graphical analysis overestimates the binding rate constant (K0k12) by 25% and the hydrolysis rate constant (k23 + k32) by as much as 30%.(ABSTRACT TRUNCATED AT 250 WORDS)     

Kinetic analysis of the dual phospholipid model for phospholipase A2 action

A kinetic scheme is proposed for the action of cobra venom phospholipase A2 on mixed micelles of phospholipid and the nonionic detergent Triton X-100, based on the "dual phospholipid model." (formula; see text) The water-soluble enzyme binds initially to a phospholipid molecule in the micelle interface. This is followed by binding to additional phospholipid in the interface and then catalytic hydrolysis. A kinetic equation was derived for this process and tested under three experimental conditions: (i) the mole fraction of substrate held constant and the bulk substrate concentration varied; (ii) the bulk substrate concentration held constant and the Triton X-100 concentration varied (surface concentration of substrate varied); and (iii) the Triton X-100 concentration held constant and the bulk substrate concentration varied. The substrates used were chiral dithiol ester analogs of phosphatidylcholine (thio-PC) and phosphatidylethanolamine (thio-PE), and the reactions were followed by reaction of the liberated thiol with a colorimetric thiol reagent. The initial binding (Ks = k1/k-1) was apparently similar for thio-PC and thio-PE (between 0.1 and 0.2 mM) as were the apparent Michaelis constants (Km = (k-2 + k3)/k2) (about 0.1 mol fraction). The Vmax values for thio-PC and thio-PE were 440 and 89 mumol min-1 mg-1, respectively. The preference of cobra venom phospholipase A2 for PC over PE in Triton X-100 mixed micelles appears to be an effect on k3 (catalytic rate) rather than an effect on the apparent binding of phospholipid in either step of the reaction.     

The pH-dependence of second-order rate constants of enzyme modification may provide free-reactant pKa values.

1. Reactions of enzymes with site-specific reagents may involve intermediate adsorptive complexes formed by parallel reactions in several protonic states. Accordingly, a profile of the apparent second-order rate constant for the modification reaction (Kobs., the observed rate constant under conditions where the reagent concentration is low enough for the reaction to be first-order in reagent) against pH can, in general, reflect free-reactant-state molecular pKa values only if a quasi-equilibrium condition exists around the reactive protonic state (EHR) of the adsorptive complex. 2. Usually the condition for quasi-equilibrium is expressed in terms of the rate constants around EHR: (formula: see text) i.e. k mod. less than k-2. This often cannot be assessed directly, particularly if it is not possible to determine kmod. 3. It is shown that kmod. must be much less than k-2, however, if kobs. (the pH-independent value of kobs.) less than k+2. 4. Since probable values of k+2 greater than 10(6)M-1.S-1 and since values of kobs. for many modification reactions less than 10(6)M-1.S-1, the equilibrium assumption should be valid, and kinetic study of such reactions should provide reactant-state pKa values. 5. This may not apply to catalyses, because for them the value of kcat./Km may exceed 5 X 10(5)M-1.S-1. 6. The conditions under which the formation of an intermediate complex by parallel pathways may come to quasi-equilibrium are discussed in the Appendix.     

Activation of plasminogen by pro-urokinase. II. Kinetics

The kinetics of the activation of plasminogen by recombinant pro-urokinase obtained by expression of human urokinase cDNA in Escherichia coli was studied. The conversion of pro-urokinase (U) and plasminogen (P) to urokinase (u) and plasmin (p) is represented by a sequence of three reactions which each obey Michaelis-Menten kinetics, i.e. (Formula: see text). In this model, pro-urokinase formally behaves as an enzyme in Reaction I and as a substrate in reaction II. The experimentally measured overall rates of formation of urokinase and plasmin are in good agreement with those calculated from the kinetic parameters and the initial concentrations of pro-urokinase and plasminogen, confirming the validity of the model. It appears that recombinant pro-urokinase is an equally potent activator of plasminogen (k2/Km = 0.05 microM-1 s-1), as in urokinase (k"2/K"m = 0.02 microM-1 s-1). This is due to the fact that the proenzyme, which is virtually inactive toward low Mr substrates for urokinase, forms an intermediate of the Michaelis-Menten type with plasminogen, with a much higher affinity than that of the active enzyme with its substrate. This is an exceptional phenomenon among the serine proteases.     

Effects of acid-base imbalance on pulmonary angiotensin-converting enzyme in vivo

The effects of acid-base balance disturbances on pulmonary endothelial angiotensin-converting enzyme (ACE) were studied in anesthetized mechanically ventilated rabbits. Enzyme function was estimated from [3H]benzoyl-Phe-Ala-Pro ([3H]BPAP) utilization under first-order reaction conditions during a single transpulmonary passage and expressed as 1) substrate metabolism (M), 2) Amax/Km (Amax being equal to the product of enzyme mass and the constant of product formation), and 3) (Amax/Km)/100 ml blood flow. When respiratory acidosis/alkalosis was produced by altering respiratory rate at constant airway pressure, substrate (BPAP) utilization varied proportionally to arterial pH and inversely proportionally to arterial PCO2 (PaCO2) (P less than 0.05). Percent BPAP metabolism (%M) ranged from 92 +/- 3 (respiratory alkalosis) to 85 +/- 3 (normal), 82 +/- 3 (respiratory acidosis), and 78 +/- 2% (severe respiratory acidosis). Amax/Km similarly decreased from 899 +/- 129 to 825 +/- 143, 601 +/- 74, and 450 +/- 34 ml/min, respectively, and (Amax/Km)/100 ml blood flow was reduced from 176 +/- 26 to 131 +/- 22, 111 +/- 12, and 97 +/- 5, respectively. However, when respiratory acidosis/alkalosis was produced by altering both respiratory rate and airway pressure, no changes were observed in either %M, Amax/Km or (Amax/Km)/100 ml blood flow. Similarly metabolic alkalosis or acidosis did not alter M, Amax/Km or (Amax/Km)/100 ml blood flow. These results indicate that pulmonary endothelial ACE function can be affected by acid-base disturbances, probably indirectly through changes in perfused microvascular surface area.     

Specific metabolic rate, longevity and "Rubner constant" for birds

An assumption was made that age constituent alpha x(beta) of mortality of individuals in a population in Weibull equation mx = m0 + alpha x(beta) (Ricklefs, 2000) reflects change of specific metabolic rate of one individual with age. Based upon that hypothesis a formula was proposed for relationship of specific metabolic rate of an adult individual after cessation of growth, when mass W is attained, and age t: q(t) = q0(1-omega(beta) + 1t(beta)) where q0 = aW(-b) is value q(t) at the moment of growth cessation and omega = alpha(1/(beta + 1)) is "ageing rate", determined and estimated by R. Ricklefs. Maximum longevity of an individual was determined as [equation: see text], where qcrit is specific metabolic rate at the age tmax. Parameter beta and relationships omega(W) and (qcrit/q0)(W) were approximated for birds from data of Ricklefs. Statistical comparison of results of calculations of tmax was carried out on the basis of the above formula and other known formulas for groups of Passeriformes and non-Passeriformes. Rubner constant [equation: see text] was calculated assuming that body mass of an adult individual (W) is attained in the first year of life (tA = 0). Average values of 602.4 +/- 2.5 kcal g(-1) (n = 83) for non-Passeriformes and 963 +/- 6.3 kcal g(-1) (n = 41) for Passeriformes were obtained.     

The kinetics of a two-state transition of myosin subfragment 1. A temperature-jump relaxation study.

Temperature-jump measurements were carried out on myosin subfragment 1 (S1) labeled at Cys-707 with 5-(iodoacetamido)fluorescein (S1-AF). The relaxation was monitored by following the increase in the fluorescence intensity of the attached probe after a jump of 5.8 degrees C. A single relaxation process was observed over a range of final temperatures, and the relaxation time decreased from 16.69 ms at 15 degrees C to 3.91 ms at 27 degrees C. The relaxation results are interpreted in terms of a two-state transition: (S1-AF)L K+ in equilibrium with K- (S1-AF)H, and the observed single relaxation time (tau) equals l/(k(+) + k-). The individual first-order rate constants, k+ and k-, were calculated from tau and the equilibrium constant previously determined. The activation energy was 21.9 kcal/mol for the forward reaction and 9.3 kcal/mol for the reverse reaction, corresponding to an enthalpy value of 12.6 kcal/mol for the two-state transition. The results provide, for the first time, direct kinetic evidence of a two-state transition of S1 in the absence of bound nucleotide, and support a two-state model of unliganded myosin subfragment 1.     

Two-photon excitation and photolysis by pulsed laser illumination modelled by spatially non-uniform reactions with simultaneous diffusion

Two-photon absorption in the focus of a pulsed laser has the potential for localized photolysis of caged compounds, generating high concentrations of neurotransmitters, hormones and messengers. The concentrations of cage, intermediates and products in the femtolitre focal volume depend on reaction rates and diffusional exchange with the external volume. This problem of reaction with diffusion was analysed with analytical and numerical methods to determine simple relations between parameters useful in the design and interpretation of experiments. The diffraction-limited laser spot is approximated well by a sphere, radius A, in diffusional exchange with either an infinite uniform medium, representing extracellular photolysis, or within a non-permeable sphere, a "cell" of radius B, representing intracellular photolysis. Photolysis is modelled as sequential irreversible reactions, with either the excitation step alone, rate constant k(e), or with a subsequent "dark" reaction, rate constant k(p). For extracellular photolysis, steady-state depletion of a cage averaged in a spherical spot increases hyperbolically with k(e) with half-maximum depletion at k(e) = K0.5 = 2.5 D/A2, where D is the diffusion coefficient. With measured parameters for spot size A = 0.3 microm and diffusion D = 800 microm2/s, K0.5 = 22,200 s(-1). The optimal exposure for localized photolysis is the characteristic diffusion time tau = A2/D, 113 micros in this example, and is the time taken to reach 57% of steady state in the diffusion-limited case. In the two-step model, with excitation and "dark" reaction steps, rate constants both exceeding K0.5 are necessary to generate 50% of maximal product concentration in the illuminated volume. High concentrations of photolysis products depend particularly on a high excitation rate constant (k(e) > K0.5), and localization of the products requires fast dark reactions (k(p) > K0.5). If products diffuse faster than the cage, their steady-state concentrations are decreased, and concentration transients may occur. For localized intracellular photolysis, the duration of exposure that generates product concentration at the cell boundary, B, less than 10% of the spot concentration should be shorter than 0.043(B/A)3tau, and is determined by diffusion.     

A new rapid and simple method to determine the kinetics of electrode reactions of biologically relevant compounds from the half-peak width of the square-wave voltammograms

A new method is introduced to determine the kinetic parameters of electron transfer reactions of biologically important compounds, based on the measurements of the half-peak width (DeltaE(p/2)) of the square-wave voltammograms. A simple surface (diffusionless) redox reaction, and a simple electrode reaction occurring from dissolved state are considered as model systems. In the region of quasireversible electron transfer, the half-peak widths of theoretical square-wave voltammograms are linear functions of the logarithm of the dimensionless kinetic parameter ln(K) that characterizes the rate of the electron transfer reaction. The dimensionless kinetic parameter K is defined as K=k(s)(fD)(-0.5) for the redox reaction taking place from dissolved state, whereas for the surface redox reaction K is defined as K=k(s)/f (k(s) is the standard rate constant of electron transfer, f is the SW frequency, and D is the diffusion coefficient). A set of linear regression equations for the dependences DeltaE(p/2)vs. ln(K) are derived, which can be used for rapid and precise determination of the charge-transfer kinetic parameters. The estimated values for the standard rate constants of various biologically relevant redox systems using this approach are in very good agreement with the experimental values determined by other square-wave voltammetric methods. The square-wave voltammetric half-peak width method can be used as a simple and reliable alternative to other voltammetric methods developed for the kinetic characterization of electron transfer rates.     

Biochemistry and Physiology of Alligator Metabolism in vivo

The metabolic rate of the alligator is a direct function ofthe volume of blood flowing through the capillaries/unit time/unitweight, which in turn, is determined by the heart rate and thestroke volume. For an animal with such a low metabolic rate,the heart rate is relatively rapid, in part because the heartis relatively small. Metabolic rate of the smallest alligatorexceeds that of the largest by about 25 to 1. Lowering the temperaturedecreases blood flow without decreasing the oxygen and substrateextracted from each liter. Metabolic rate (oxygen consumption)is expressed by the equation M.R. = F(A – V), where Fis the blood flow and A – V is the oxygen A – Vdifference. For the catabolism of compounds in which oxygenis not directly involved, the expression is V = KF[S], whereV is the velocity of the reaction, F is the blood flow, and[S] is the concentration of the substrate. K is a constant,differing for each catabolite, but having about the same valuefor any one catabolite in vertebrates, cold- or warm-blooded.Enzyme kinetics in a live vertebrate has little in common withthat determined in the usual experiments in vitro. A 70 kg alligatorat 28°C has a blood flow of 0.2 liters/min, a stroke volumeof 6.3 ml, a circulation time of 27 min, and it produces about72 kcal/day, or about 4% of that of a man of equal size.     

Mechanism of formation of the complex between transferrin and bismuth, and interaction with transferrin receptor 1

The kinetics and thermodynamics of Bi(III) exchange between bismuth mononitrilotriacetate (BiL) and human serum transferrin as well as those of the interaction between bismuth-loaded transferrin and transferrin receptor 1 (TFR) were investigated at pH 7.4-8.9. Bismuth is rapidly exchanged between BiL and the C-site of human serum apotransferrin in interaction with bicarbonate to yield an intermediate complex with an effective equilibrium constant K(1) of 6 +/- 4, a direct second-order rate constant k(1) of (2.45 +/- 0.20) x 10(5) M(-1) s(-1), and a reverse second-order rate constant k(-1) of (1.5 +/- 0.5) x 10(6) M(-1) s(-1). The intermediate complex loses a single proton with a proton dissociation constant K(1a) of 2.4 +/- 1 nM to yield a first kinetic product. This product then undergoes a modification in its conformation followed by two proton losses with a first-order rate constant k(2) = 25 +/- 1.5 s(-1) to produce a second kinetic intermediate, which in turn undergoes a last modification in the conformation to yield the bismuth-saturated transferrin in its final state. This last process rate-controls Bi(III) uptake by the N-site of the protein and is independent of the experimental parameters with a constant reciprocal relaxation time tau(3)(-1) of (3 +/- 1) x 10(-2) s(-1). The mechanism of bismuth uptake differs from that of iron and probably does not involve the same transition in conformation from open to closed upon iron uptake. The interaction of bismuth-loaded transferrin with TFR occurs in a single very fast kinetic step with a dissociation constant K(d) of 4 +/- 0.4 microM, a second-order rate constant k(d) of (2.2 +/- 1.5) x 10(8) M(-1) s(-1), and a first-order rate constant k(-d) of 900 +/- 400 s(-1). This mechanism is different from that observed with the ferric holotransferrin and implies that the interaction between TFR and bismuth-loaded transferrin probably takes place on the helical domain of the receptor which is specific for the C-site of transferrin and HFE. The relevance of bismuth incorporation by the transferrin receptor-mediated iron acquisition pathway is discussed.     

Aluminum exchange between citrate and human serum transferrin and interaction with transferrin receptor 1

The kinetics and thermodynamics of Al(III) exchange between aluminum citrate (AlL) and human serum transferrin were investigated in the 7.2-8.9 pH range. The C-site of human serum apotransferrin in interaction with bicarbonate removes Al(III) from Al citrate with an exchange equilibrium constant K1 = (2.0 +/- 0.6) x 10(-2); a direct second-order rate constant k1 = 45 +/- 3 M(-1) x s(-1); and a reverse second-order rate constant k(-1) = (2.3 +/- 0.5) x 10(3) M(-1) x s(-1). The newly formed aluminum-protein complex loses a single proton with proton dissociation constant K1a = (15 +/- 3) nM to yield a first kinetic intermediate. This intermediate then undergoes a modification in its conformation followed by two proton losses; first-order rate constant k2 = (4.20 +/- 0.02) x 10(-2) s(-1) to produce a second kinetic intermediate, which in turn undergoes a last slow modification in the conformation to yield the aluminum-loaded transferrin in its final state. This last process rate-controls Al(III) uptake by the N-site of the protein and is independent of the experimental parameters with a constant reciprocal relaxation time tau3(-1) = (6 +/- 1) x 10(-5) x s(-1). The affinities involved in aluminum uptake by serum transferrins are about 10 orders of magnitude lower than those involved in the uptake of iron. The interactions of iron-loaded transferrins with transferrin receptor 1 occur with average dissociation constants of 3 +/- 1 and 5 +/- 1 nM for the only C-site iron-loaded and of 6.0 +/- 0.6 and 7 +/- 0.5 nM for the iron-saturated ST in the absence or presence of CHAPS, respectively. No interaction is detected between receptor 1 and aluminum-saturated or mixed C-site iron-loaded/N-site aluminum-loaded transferrin under the same conditions. The fact that aluminum can be solubilized by serum transferrin in biological fluids does not necessarily imply that its transfer from the blood stream to cytoplasm follows the receptor-mediated pathway of iron transport by transferrins.     

Effect of ultrasound on DNA polymerase reactions: monitoring on a 27-MHz quartz crystal microbalance

Effects of ultrasound irradiation on DNA polymerase (Klenow fragment, KF) reactions were studied on the template/primer DNA-immobilized quartz crystal microbalance (QCM). Under ultrasound irradiation, binding of KF to the DNA was suppressed due to the decrease of the binding rate constant (k(1)) and the increase of the dissociation rate constant (k(-)(1)). The catalytic elongation rate (k(cat)) was increased, but the stability of the KF/DNA/monomer ternary complex (K(m)) was decreased by the ultrasound irradiation. Ultrasound effects are discussed in correlation with the conformation changes of domain structures in KF.     

The determination of specificity constants in enzyme-catalysed reactions.

A convenient and accurate procedure for determining the kinetic parameter Vmax./Km is described. This avoids the error in the usual method of taking the observed first-order rate constant of an enzymic reaction at low substrate concentration as Vmax./Km. A series of reactions is used in which the initial concentration of substrate is below Km (e.g. from 5% to 50% of Km). Measurements are taken over the same extent of reaction (e.g. 70%) for each member of the series, and treated as if the kinetics were truly first-order. The reciprocal of the observed first-order rate constant is then plotted against the initial concentration of substrate: the reciprocal of the ordinate intercept is Vmax./Km. The procedure, as well as being applicable to simple reactions, is shown to be valid when there is competitive inhibition by the product, or when the reaction is reversible, or when there is competitive or mixed inhibition. The hydrolysis of cephalosporin C by a beta-lactamase from Pseudomonas aeruginosa is used to illustrate the method.     

Photophysics of the fluorescent K+ indicator PBFI.

The fluorescent indicator PBFI is widely used for the determination of intracellular concentrations of K+. To investigate the binding reaction of K+ to PBFI in the ground and excited states, steady-state and time-resolved measurements were performed. The fluorescence decay surface was analyzed with global compartmental analysis yielding the following values for the rate constants at room temperature in aqueous solution at pH 7.2: k01 = 1.1 x 10(9) s-1, k21 = 2.7 x 10(8) M-1s-1, k02 = 1.8 x 10(9) s-1, and k12 = 1.4 x 10(9) s-1. k01 and k02 denote the respective deactivation rate constants of the K+ free and bound forms of PBFI in the excited state. k21 represents the second-order rate constant of binding of K+ to the indicator in the excited state whereas k12 is the first-order rate constant of dissociation of the excited K(+)-PBFI complex. From the estimated values of k12 and k21, the dissociation constant Kd* in the excited state was calculated. It was found that pKd* (-0.7) is smaller than pKd (2.2). The effect of the excited-state reaction can be neglected in the determination of Kd and/or the K+ concentration. Therefore, intracellular K+ concentrations can be accurately determined from fluorimetric measurements by using PBFI as K+ indicator.     

Rate-determining folding and association reactions on the reconstitution pathway of porcine skeletal muscle lactic dehydrogenase after denaturation by guanidine hydrochloride

Reactivation of tetrameric porcine skeletal muscle lactic dehydrogenase after dissociation and extensive unfolding of the monomers by 6 M guanidine hydrochloride (Gdn . HCl) is characterized by sigmoidal kinetics, indicating a complex mechanism involving rate-limiting folding and association steps. For analysis of the association reactions, chemical cross-linking with glutaraldehyde may be used [Hermann, R., Jaenicke, R., & Rudolph, R. (1981) Biochemistry 20, 2195-2201]. The data clearly show that the formation of a dimeric intermediate is determined by a first-order folding reaction of the monomers with k1 = (8.0 +/- 0.1) x 10(-4) s-1. The rate constant of the association of dimers to tetramers which represents the second rate-limiting step on the pathway of reconstitution after guanidine denaturation, was then determined by reactivation and cross-linking experiments after dissociation in 0.1 M H3PO4 containing 1 M Na2SO4. The rate constant for the dimer association (which is the only rate-limiting step after acid dissociation) was k2 = (3.0 +/- 0.5) x 10(4) M-1 s-1. On the basis of the given two rate constants, the complete reassociation pattern of porcine lactic dehydrogenase after dissociation and denaturation in 6 M Gdn . HCl can be described by the kinetic model (formula: see text).     

The sulphatase of ox liver. XXI: kinetic studies of the substrate-induced inactivation of sulphatase A.

The theoretical basis is given for methods of determining the apparent velocity constant, k*, for the substrate-induced inactivation of sulphatase A (aryl-sulphate sulphohydrolase, EC 3.1.6.1) and the initial velocity, vo, of the catalytic reaction. The expression is of the same form as the empirical relationships previously used but the significance of the various terms is clearly established. The method has been applied to the characterisation of the inactivation occurring during the hydrolysis of a number of substrates and it has been shown that k* varies with so in a hyperbolic relationship described by k, a velocity constant at infinite substrate concentrations and by K, a constant analogous to the Michaelis constant. Although K varies considerably for different substrates, and is consistently less than the corresponding Km, k is almost constant at 0.23 min-1. It is therefore suggested that the inactivation of the enzyme does not proceed through an enzyme . substrate complex but through the enzyme . SO2-4 complex produced during the catalytic reaction. The effects of several variables on these parameters are described.     

Cytochrome c folds through a smooth funnel

A dominant feature of folding of cytochrome c is the presence of nonnative His-heme kinetic traps, which either pre-exist in the unfolded protein or are formed soon after initiation of folding. The kinetically trapped species can constitute the majority of folding species, and their breakdown limits the rate of folding to the native state. A temperature jump (T-jump) relaxation technique has been used to compare the unfolding/folding kinetics of yeast iso-2 cytochrome c and a genetically engineered double mutant that lacks His-heme kinetic traps, H33N,H39K iso-2. The results show that the thermodynamic properties of the transition states are very similar. A single relaxation time tau(obs) is observed for both proteins by absorbance changes at 287 nm, a measure of solvent exclusion from aromatic residues. At temperatures near Tm, the midpoint of the thermal unfolding transitions, tau(obs) is four to eight times faster for H33N,H39K iso-2 (tau(obs) approximately 4-10 ms) than for iso-2 (tau(obs) approximately 20-30 ms). T-jumps show that there are no kinetically unresolved (tau < 1-3 micros T-jump dead time) "burst" phases for either protein. Using a two-state model, the folding (k(f)) and unfolding (k(u)) rate constants and the thermodynamic activation parameters standard deltaGf, standard deltaGu, standard deltaHf, standard deltaHu, standard deltaSf, standard deltaSu are evaluated by fitting the data to a function describing the temperature dependence of the apparent rate constant k(obs) (= tau(obs)(-1)) = k(f) + k(u). The results show that there is a small activation enthalpy for folding, suggesting that the barrier to folding is largely entropic. In the "new view," a purely entropic kinetic barrier to folding is consistent with a smooth funnel folding landscape.     

Kinetics of the oxidation of ferrocyanide by lactoperoxidase compound II

The kinetics of the oxidation of ferrocyanide by lactoperoxidase compound II has been studied over the pH range 5.2-9.9 at 25 degrees C and an ionic strength of 0.11 M. For all pH values, exponential decay curves are obtained for the reaction of compound II in the presence of ferrocyanide which yielded pseudo-first-order rate constants kobs. The spontaneous decay of compound II in the absence of ferrocyanide occurs at an appreciable rate which was measured independently and used in the data analysis. At all pH values two striking effects were observed when the rate of the decay reaction in the presence of ferrocyanide, kobs, was plotted against ferrocyanide concentration: a saturation effect and positive intercepts which are attributable to the spontaneous decay. The plots of kobs versus ferrocyanide concentration were analyzed in terms of the following parameters: a first-order rate constant k3,obs, a Michaelis constant Km,obs and a spontaneous-decay rate constant k4. The parameters k3,obs and Km,obs describe the reaction of compound II with ferrocyanide, independently of the spontaneous decay. The parameter k4 has only a small pH dependence, whereas plots of the logs of k3,obs and Km,obs versus pH have slopes of -1 at high pH. The major part of the pH dependence can be explained by the influence of a single heme-linked acid group in the LPO-compound-II-ferrocyanide complex.