CHEMICAL PACEMAKERS : PART I. CATALYTIC BRAIN IRON. PART II. ACTIVATION ENERGIES OF CHEMICAL PACEMAKERS

1. Iron spicules found in the brains of general paretic patients are formed from endogenous brain iron normally present in another form. This supports our earlier view that the µ value of 16,000 obtained in advanced paretics for alpha brain wave frequencies as a measure of cortical respiration comes about from the slowing of an iron catalyzed link in cortical respiration such as would result from the reduction of available cytochrome and its oxidase, thus making this step a chemical pacemaker. 2. To test the basic theory of chemical pacemakers, a study was made of the succinate-fumarate enzyme system containing succino-dehydrogenase and cytochrome-cytochrome oxidase acting sequentially. 3. The µ value for the unpoisoned system is 11,200 ± 200 calories. 4. According to theory, the addition of a critical amount of cyanide known to be a specific poison of the cytochrome-cytochrome oxidase system (and not of the dehydrogenase) should shift the µ cleanly to 16,000 calories, and it does. 5. According to theory, selenite, a specific poison for the dehydrogenase, should stop all respiration without shifting the µ. This also is found to be the case. 6. The theory also predicts that if the µ is shifted from 11,000 ± to 16,000 ± by cyanide, the subsequent addition of a critical amount of selenite should shift the µ back again to 11,000 ± calories, and this is found to occur. 7. It is concluded that approximately 11,000 calories is the energy of activation of the succino-dehydrogenase-catalyzed step and 16,000 calories is that for the cytochrome-cytochrome oxidase-catalyzed step. These two values are encountered more frequently than any others in physiological systems. It is to be recalled that a shift of µ for alpha brain wave frequencies from 11,000 to 16,000 calories occurs in the course of advancing syphilitic brain infection and is accompanied by a change in form of brain iron.     

Identification of

The succinate dehydrogenases (SDH: soluble, membrane-extrinsic subunits of succinate:quinone oxidoreductases) from Escherichia coli and beef heart mitochondria each adsorb at a pyrolytic graphite 'edge' electrode and catalyse the interconversion of succinate and fumarate according to the electrochemical potential that is applied. E. coli and beef heart mitochondrial SDH share only ca. 50% homology, yet the steady-state catalytic activities, when measured over a continuous potential range, display very similar catalytic operating potentials and energetic biases (the relative ability to catalyse succinate oxidation vs. fumarate reduction). Importantly, E. coli SDH also exhibits the interesting 'tunnel-diode' behaviour previously reported for the mitochondrial enzyme. Thus as the potential is lowered below ca. -60 mV (pH 7, 38 degrees C) the rate of catalytic fumarate reduction decreases abruptly despite an increase in driving force. Since the homology relates primarily to residues associated with active site regions, the marked similarity in the voltammetry reaffirms our previous conclusions that the tunnel-diode behaviour is a characteristic property of the enzyme active site. Thus, succinate dehydrogenase is an excellent fumarate reductase, but its activity in this direction is limited to a very specific range of potential.     

Succinate oxidase and fumarate reductase systems of filarial parasite Setaria digitata

Activities of succinate oxidase, fumarate reductase (FR) and succinate dehydrogenase (SDH) under a set of defined conditions were determined in the mitochondrial isolate from Setaria digitata, the filarial parasite from the cattle Bos indicus. Presence of only two activities namely SDH and succinate--UQ reductase of the succinate oxidase system could be detected in S. digitata. In the absence of cytochromes, the 3rd enzyme of the complex namely cytochrome oxidase is absent and it is proposed that an alternative oxidase is responsible for completing the succinate oxidation expressed as succinate oxidase activity. Though SDH and FR catalyse reverse reactions, they responded differently to modulators such as oxaloacetate, aspartate, alanine, pyruvate and fumarate. The degree of response of the two activities against inhibitors of electron transport was also different. Interestingly fumarate caused only 50% inhibition of succinate oxidation, while the effect against FR was more convincing.     

THE KINETICS OF EXCYSTMENT IN COLPODA DUODENARIA

1. Extensive experimental data have been collected on the time required for the excystment process of the small ciliate Colpoda duodenaria throughout a range of temperatures of 8° through 32°C. and a range of concentrations of yeast extract excystment media of 0.08 through 22.4 gm./liter. 2. The excystment process has been separated into two periods, the first inversely proportional to the concentration of the yeast extract and the second independent of its concentration. 3. The first excystment period has been found to depend on the time for diffusion through the protoplasm of a compound from the yeast extract and on the time for a chemical reaction with the extremely high energy of activation of 220,000 calories/mole. 4. The changes in viscosity with temperature for this Colpoda, inferred from diffusion rate changes, have been found to be almost the same as those found by Heilbrunn for Amoeba dubia by the direct method of centrifuging granules. 5. The second excystment period is shown to be controlled by reactions whose apparent activation energies are 44,000 calories/mole below 15°C. and 18,000 calories/mole above 15°C.; above 25°C. this period is independent of temperature. 6. The distribution of the log excystment times of individual organisms about the mean log excystment time is found to be independent of temperature except in the range where the reaction with highest activation energy takes a significant length of time, and to increase rapidly with decreasing temperatures in this range.     

Growth of Syntrophic Propionate-Oxidizing Bacteria with Fumarate in the Absence of Methanogenic Bacteria

Oxidation of succinate to fumarate is an energetically difficult step in the biochemical pathway of propionate oxidation by syntrophic methanogenic cultures. Therefore, the effect of fumarate on propionate oxidation by two different propionate-oxidizing cultures was investigated. When the methanogens in a newly enriched propionate-oxidizing methanogenic culture were inhibited by bromoethanesulfonate, fumarate could act as an apparent terminal electron acceptor in propionate oxidation. ¹³C-nuclear magnetic resonance experiments showed that propionate was carboxylated to succinate while fumarate was partly oxidized to acetate and partly reduced to succinate. Fumarate alone was fermented to succinate and CO₂. Bacteria growing on fumarate were enriched and obtained free of methanogens. Propionate was metabolized by these bacteria when either fumarate or Methanospirillum hungatii was added. In cocultures with Syntrophobacter wolinii, such effects were not observed upon addition of fumarate. Possible slow growth of S. wolinii on fumarate could not be demonstrated because of the presence of a Desulfovibrio strain which grew rapidly on fumarate in both the absence and presence of sulfate.     

Isolation of succinate dehydrogenase from Desulfobulbus elongatus, a propionate oxidizing, sulfate reducing bacterium

Succinate dehydrogenase was purified from the particulate fraction of Desulfobulbus. The enzyme catalyzed both fumarate reduction and succinate oxidation but the rate of fumarate reduction was 8-times less than that of succinate oxidation. Quantitative analysis showed the presence of 1 mol of covalently bound flavin and 1 mol of cytochrome b per mol of succinate dehydrogenase. The enzyme contained three subunits with molecular mass 68.5, 27.5 and 22 kDa. EPR spectroscopy indicated the presence of at least two iron sulfur clusters. 2-Heptyl-4-hydroxy-quinoline-N-oxide inhibited the electron-transfer between succinate dehydrogenase and a high redox potential cytochrome c3 from Desulfobulbus elongatus.     

Inhibition of membrane-bound succinate dehydrogenase by disulfiram

The effect of disulfiram on succinate oxidase and succinate dehydrogenase activities of beef heart submitochondrial particles was studied. Results show that disulfiram inhibits both functions. Succinate and malonate suppress the inhibitory action of disulfiram when succinate dehydrogenase is stabilized in an active conformation. Disulfiram is not able to inhibit the enzyme when succinate dehydrogenase is inactivated by oxaloacetate. The inhibitory effect of disulfiram is reverted by the addition of dithiothreitol. From these results, it is proposed that disulfiram inhibits the utilization of succinate by a direct modification of an -SH group located in the catalytically active site of succinate dehydrogenase.     

Enrichment of Thermophilic Propionate-Oxidizing Bacteria in Syntrophy with Methanobacterium thermoautotrophicum or Methanobacterium thermoformicicum

Thermophilic propionate-oxidizing, proton-reducing bacteria were enriched from the granular methanogenic sludge of a bench-scale upflow anaerobic sludge bed reactor operated at 55°C with a mixture of volatile fatty acids as feed. Thermophilic hydrogenotrophic methanogens had a high decay rate. Therefore, stable, thermophilic propionate-oxidizing cultures could not be obtained by using the usual enrichment procedures. Stable and reproducible cultivation was possible by enrichment in hydrogen-pregrown cultures of Methanobacterium thermoautotrophicum ΔH which were embedded in precipitates of FeS, achieved by addition of FeCl₂ to the media. The propionate-oxidizing bacteria formed spores which resisted pasteurization for 30 min at 90°C or 10 min at 100°C. Highly purified cultures were obtained with either M. thermoautotrophicum ΔH or Methanobacterium thermoformicicum Z245 as the syntrophic partner organism. The optimum temperature for the two cultures was 55°C. Maximum specific growth rates of cultures with M. thermoautotrophicum ΔH were somewhat lower than those of cultures with M. thermoformicicum Z245 (0.15 and 0.19 day^-1, respectively). Growth rates were even higher (0.32 day^-1) when aceticlastic methanogens were present as well. M. thermoautotrophicum ΔH is an obligately hydrogen-utilizing methanogen, showing that interspecies hydrogen transfer is the mechanism by which reducing equivalents are channelled from the acetogens to this methanogen. Boundaries of hydrogen partial pressures at which propionate oxidation occurred were between 6 and 34 Pa. Formate had a strong inhibitory effect on propionate oxidation in cultures with M. thermoautotrophicum. Inhibition by formate was neutralized by addition of the formate-utilizing methanogen or by addition of fumarate. Results indicate that formate inhibited succinate oxidation to fumarate, an intermediate step in the biochemical pathway of propionate oxidation.     

Effects of Temperature on Electron Transport in Arum maculatum Mitochondria

The effects of temperature upon the respiratory pathways of Arum maculatum mitochondria have been studied. The alternate oxidase sustained a greater proportion of the total respiration at low temperatures than at higher temperatures. Arrhenius plots of respiratory activities show two discontinuities, one at 14°C and one at 21°C. The lower temperature discontinuity was associated with electron transport from succinate dehydrogenase to the alternative oxidase, enzymes that face the inner side of the membrane while the higher temperature discontinuity was associated with electron transport from the external NADH dehydrogenase to cytochrome c oxidase, which face the outer side of the membrane. Both discontinuities resulted in a decrease in the activation energy for electron transport on one side of the membrane. Arrhenius plots of transmembrane electron transport showed discontinuities at both 14° and 21°C but the upper discontinuity resulted in an increase in the activation energy. Activation energies determined for the respiratory activities show that above 21°C the exogenous NADH-cytochrome pathway and the succinate-alternative oxidase pathway were lower than those for the NADH-alternative pathway or the succinate cytochrome pathway.     

Temperature activation of certain respiratory enzymes of stenothermophilic bacteria

The results of this study of the effect of temperature on the respiratory mechanism of five stenothermophilic bacteria may be summarized as follows:- 1. The respiratory mechanism and its various components of the stenothermophilic bacteria were found to function at temperatures below the minimum temperature for growth of these organisms. In every case the rates of the individual reactions involved in the respiratory chain increased exponentially with temperature until the temperature at which inactivation became apparent was reached. 2. The mean activation energies, calculated from the "best" value for the slope of the straight lines resulting from a plot of log rate against the reciprocal of the absolute temperature were: Dehydrogenases: 28,000 to 28,500 calories per gram molecule. Glucose, fructose, galactose, mannose, xylose, arabinose, maltose, lactose, sucrose, glycine, beta-alanine, monosodium glutamate, (asparagine). 19,500 to 20,500 calories per gram molecule. Ethyl alcohol, succinate, pyruvate, lactate, acetate. 19,500 to 20,500 calories per gram molecule. Ethyl alcohol, succinate, pyruvate, lactate, acetate. 15,000 calories per gram molecule. Formate. Cytochrome oxidase and cytochrome b and c (substrate: p-phenylenediamine): 16,800 calories per gram molecule. Cytochrome oxidase and cytochrome c (substrate: hydroquinone): 20,200 calories per gram molecule. Catalase: 4,100 calories per gram molecule. Complete aerobic respiratory system (plus added glucose): 29,500 calories per gram molecule. 3. The identity of the energies of activation of the respiratory system and its enzymic components at temperatures above and below the minimum temperature for growth of the stenothermophilic bacteria was demonstrated. 4. An attempt has been made to indicate a relationship between the nature of the substrate and the activation energy by grouping substrates on the basis of common micro values obtained for their dehydrogenation by resting cell preparations of stenothermophilic bacteria. The dehydrogenation reactions have been found to be the rate-controlling reactions in the aerobic respiratory system of these bacteria.     

Micelle-supported electroenzymology: Succinate dehydrogenation by escherichia coli fumarate reductase in decylubiquinone and octyl glucoside micelles

The concept of micelle-supported electroenzymology is demonstrated using a system consisting of the membrane enzyme Escherichia coli fumarate reductase (FRD), the amphiphilic coenzyme analogue decylubiquinone (DU), the micelle-forming surfactant n-octyl glucoside (OG), and a gold electrode. The OG micelles provide a hydrophobic, membrane mimetic medium for FRD and DU to exchange electrons while the gold electrode serves to regenerate DU. When succinate is presented to the FRD/DU/OG micelle system, electroenzymatic oxidation of succinate to fumarate occurs as evidenced using cyclic voltammetry. DU is shown to be the only electroactive species in the system; and as increasing amounts of succinate are added, the expected increase in the peak anodic (oxidative) current and decrease in the peak cathodic (reductive) current are observed. The peak anodic current approaches a limiting value with succinate concentration in qualitative agreement with simple Michaelis-Menten enzyme kinetics. When the strong competitive inhibitor oxaloacetate is added, enzymatic oxidation of succinate is inhibited as indicated by no change in the peak anodic and cathodic currents with increasing succinate concentration. (c) 1993 John Wiley & Sons, Inc.     

Anaerobic Expression of Escherichia coli Succinate Dehydrogenase: Functional Replacement of Fumarate Reductase in the Respiratory Chain during Anaerobic Growth

Succinate-ubiquinone oxidoreductase (SQR) from Escherichia coli is expressed maximally during aerobic growth, when it catalyzes the oxidation of succinate to fumarate in the tricarboxylic acid cycle and reduces ubiquinone in the membrane. The enzyme is similar in structure and function to fumarate reductase (menaquinol-fumarate oxidoreductase [QFR]), which participates in anaerobic respiration by E. coli. Fumarate reductase, which is proficient in succinate oxidation, is able to functionally replace SQR in aerobic respiration when conditions are used to allow the expression of the frdABCD operon aerobically. SQR has not previously been shown to be capable of supporting anaerobic growth of E. coli because expression of the enzyme complex is largely repressed by anaerobic conditions. In order to obtain expression of SQR anaerobically, plasmids which utilize the P_FRD promoter of the frdABCD operon fused to the sdhCDAB genes to drive expression were constructed. It was found that, under anaerobic growth conditions where fumarate is utilized as the terminal electron acceptor, SQR would function to support anaerobic growth of E. coli. The levels of amplification of SQR and QFR were similar under anaerobic growth conditions. The catalytic properties of SQR isolated from anaerobically grown cells were measured and found to be identical to those of enzyme produced aerobically. The anaerobic expression of SQR gave a greater yield of enzyme complex than was found in the membrane from aerobically grown cells under the conditions tested. In addition, it was found that anaerobic expression of SQR could saturate the capacity of the membrane for incorporation of enzyme complex. As has been seen with the amplified QFR complex, E. coli accommodates the excess SQR produced by increasing the amount of membrane. The excess membrane was found in tubular structures that could be seen in thin-section electron micrographs.     

Redox potentials and kinetic properties of fumarate reductase complex from Vibrio succinogenes

The isolated menaquinol: fumarate oxidoreductase (fumarate reductase complex) from Vibrio succinogenes was investigated with respect to the redox potentials and the kinetic response of the prosthetic groups. The following results were obtained. (1) The redox state of the components was measured as a function of the redox potential established by the fumarate/succinate couple, after freezing of the samples (173 K). From these measurements, the midpoint potential of the [2Fe-2S] cluster (−59 mV), the [4Fe-4S] cluster (−24 mV) and the flavin/flavosemiquinone couple (about −20 mV) was obtained. (2) Potentiometric titration of the enzyme in the presence of electron-mediating chemicals gave, after freezing, apparent midpoint potentials that were 30–100 mV more negative than those found with the fumarate/succinate couple. (3) The rate constants of reduction of the components on the addition of succinate or 2,3-dimethyl-1,4-naphthoquinol were as great as or greater than the corresponding turnover numbers of the enzyme in quinone reduction by succinate or fumarate reduction by the quinol. In the oxidation of the reduced enzyme by fumarate, cytochrome b oxidation was about as fast as the corresponding turnover number of quinol oxidation by fumarate, while the [2Fe-2S] and half of the [4Fe-4S] cluster responded more than 2-times slower. The rate constant of the other half of the 4-Fe cluster was one order of magnitude smaller than the turnover number.     

Reactivity of the Bacillus subtilis succinate dehydrogenase complex with quinones.

The succinate dehydrogenase isolated from Bacillus subtilis was found to catalyze the oxidation of succinate with hydrophilic quinones. Either naphthoquinones or benzoquinones served as acceptors. The enzyme activity increased with the redox potential of the quinone. The highest turnover number was commensurate with that of the bacterial succinate respiration in vivo. The succinate dehydrogenase was similarly active in fumarate reduction with quinols. The highest activity was obtained with the most electronegative quinol. The fumarate reductase isolated from Wolinella succinogenes catalyzed succinate oxidation with quinones and fumarate reduction with the corresponding quinols at activities similar to those of the B. subtilis enzyme. Succinate oxidation by the lipophilic quinones, ubiquinone or vitamin K-1, was monitored as cytochrome c reduction using proteoliposomes containing succinate dehydrogenase together with the cytochrome bc1 complex. The activity with ubiquinone or vitamin K-1 was commensurate with the succinate respiratory activity of bacteria or of the bacterial membrane fraction. The results suggest that menaquinone is involved in the succinate respiration of B. subtilis, although its redox potential is unfavorable.     

Effects of Q metabolites and related compounds on mitochondrial succinate and NADH oxidase systems

The effects of Q metabolites (Q acid-I, Q acid-II) and related compounds (dihydro Q acid-I, dehydro Q acid-II, QS-n, and their esters) on mitochondrial succinate and NADH oxidase systems were investigated. The activity restoring succinate oxidation in acetone-treated beef heart mitochondria was found to decrease with descending order of carbon number (n) of the side chain of the Q metabolites; activity was restored with Q acid-I (n = 7) to one-third as much as that with Q-7 and Q-10, but Q acid-II (n = 5) did not restore any activity. Of the related compounds with a carboxyalkyl group (QS-n), QS-16-QS-18 (n = 16–18) were found to be most active, and their activities were also correlated with n. The relationship between the restoration of activity and the partition coefficient was considered. NADH oxidation in pentane-treated beef heart submitochondrial particles could be restored with esters of low molecular weight quinones to the same extent as with Q-10, but not with the metabolites.     

Electron transfer in monomeric forms of beef and shark heart cytochrome c oxidase

Beef heart cytochrome c oxidase is dimeric in reconstituted membranes and in nonionic detergents at physiological pH [Henderson, R., Capaldi, R. A., & Leigh, J. (1977) J. Mol. Biol. 112, 631; Robinson, N.C., & Capaldi, R. A. (1977) Biochemistry 16, 375], raising the possibility that this aggregation state is a prerequisite for enzymatic activity. A procedure for dissociating the enzyme into monomers is presented. This involves treating the protein with high concentrations of Triton X-100 at pH 8.5. The electron transfer activity of the monomer is comparable to that of the dimer under identical assay conditions. The beef heart cytochrome c oxidase monomer was found to be heterogeneous in hydrodynamic studies, probably due to dissociation of associated polypeptides, including subunit III. Monomer molecular weights in the range 129 000-160 000 were obtained. Previous studies have indicated that shark heart cytochrome c oxidase is monomeric under physiological conditions. Sedimentation equilibrium studies reported here confirm this. The elasmobranch enzyme, with a similar polypeptide composition to that of beef enzyme, was determined to have a molecular weight of 158 000.     

TEMPERATURE ACTIVATION OF THE UREASE-UREA SYSTEM USING CRUDE AND CRYSTALLINE UREASE

1. The hydrolysis of urea catalyzed by jack bean meal has been followed by determining colorimetrically after Nesslerization the ammonia nitrogen, and volumetrically the carbon dioxide liberated at successive intervals during the reaction. During the early part of hydrolysis the rate of ammonia or carbon dioxide liberation is constant for all the urease solutions which were used. 2. When log rate of NH₃ or CO₂ formation was plotted against 1/T, the points fell along a straight line, the slope of which corresponded to an activation energy of either 8,700 or 11,700 calories per gram mol. Frequently urease, when dissolved in sulfite solution, was characterized by an activation energy of 11,700 below and 8,700 above the critical temperature of about 23°C. At high temperatures the plotted points fell off from the curve due to temperature inactivation. 3. Essentially the same results on temperature activation were obtained with crude jack bean meal, Arlco urease, crystalline urease not recrystallized, and crystalline urease once recrystallized. The temperature characteristic which was obtained depended in part upon the composition of the medium. When dissolved in water, or aqueous solutions of glycerine, KCN, Na₂S₂O₂, cystine, Na₂SO₄, and K₄Fe(CN)₆, the temperature characteristic or µ of urease is 8,700. On the other hand, when urease is dissolved in solutions of K₃Fe(CN)₆ or H₂O₂ the µ value is 11,700. When dissolved in a solution containing Na₂SO₃ and NaHSO₃ the µ value may be either 8,700 or 11,700 over the whole temperature range, or 11,700 below and 8,700 above 23°C. 4. When crystalline urease is dissolved in varying mixtures of K₄Fe(CN)₆ and K₃Fe(CN)₆, the temperature characteristic depends upon the oxidation-reduction potential of the digest. When E_h is greater than +0.46 volt µ = 11,700, when less than +0.42 volt µ = 8,700, when between +0.42 – +0.46 µ = 11,700 below and 8,700 above the critical temperature. 5. It is suggested that in reducing or in indifferent solutions the configuration of the urease molecule (as determined especially by SH groups present) is such that the activation energy is 8,700 calories. In oxidizing solutions the urease molecule has been so altered (perhaps by the oxidation of the SH groups) as to be partly inactivated and now has an activation energy of 11,700. Such changes in the urease molecule are reversible (unless oxidation has proceeded too far) and are accompanied by a corresponding change in the activation energy.     

Electron transport in a Park-Williams strain of Corynebacterium diphtheriae

1. The electron-transport mechanism was examined in the ;particulate' and ;supernatant' fractions of disintegrated cells of a Park-Williams strain of Corynebacterium diphtheriae. 2. Succinate-oxidase activity was found mainly in the ;particulate' fraction, and NADH(2) oxidase mainly in the ;supernatant', which was devoid of cytochromes and menaquinone. 3. The sum of the activities of particles and supernatant fractions, with respect to both succinate oxidase and NADH(2) oxidase, was substantially less than that of the crude cell extract from which they were obtained. Full activity was restored on recombining ;particles' and ;supernatant'. The characteristics of this reassembled system were investigated. 4. The strain of organism (CN2000) examined contained cytochromes corresponding spectroscopically to ;a', ;b' and ;c' types. All three were reduced by succinate, lactate or NADH(2); but a portion of the cytochrome b, susceptible to reduction by dithionite, could not be reduced by the substrates. 5. Triton X-100 inhibits oxidation of succinate by particulate fraction; on adding succinate, the reduction of cytochrome b is not affected but that of cytochromes a and c is delayed. 6. Irradiation at 360mmu completely destroys menaquinone in the particle fraction. Succinate oxidation is severely decreased; succinate dehydrogenase and NADH(2) oxidation are little affected. Certain menaquinones will restore succinate oxidation in the irradiated material. 7. On adding succinate to irradiated particulate material cytochrome b is partially reduced at once, but reduction of cytochromes a and c is much delayed. A portion of the cytochrome b remains not reduced, but reduction occurs rapidly on the addition of menaquinone (MK-2).     

The kinetics of the succinoxidase

Rate equations for the enzymatic oxidation of succinic acid are derived on the assumption that when a single molecule of substrate combines with an enzyme molecule, it can do so with either one or two sites on the enzyme, and that oxidation occurs only in the second case. In addition it is assumed that the product of the reaction, fumaric acid, combines reversibly with the enzyme. With certain enzyme preparations the data fitted such an equation satisfactorily. In others the rate was that of a first-order reaction, but addition of cytochrome changed it to the former type. It was concluded that the transfer of hydrogen to oxygen was a first-order reaction and dominated the whole rate when enzyme preparations were used which had been washed relatively free of cytochrome. When the limiting factor was succino-dehydrogenase the rates followed the new equation. Criteria for recognizing noncompetitive inhibition are given, and inhibition by di-tertiary butyl peroxide was shown to be of this type.