High-pressure effect on the equilibrium and kinetics of cyanide binding to chloroperoxidase

The kinetics of cyanide binding to chloroperoxidase were studied using a high-pressure stopped-flow technique at 25 degrees C and pH 4.7 in a pressure range from 1 to 1000 bar. The activation volume change for the association reaction is delta V not equal to + = -2.5 +/- 0.5 ml/mol. The total reaction volume change, determined from the pressure dependence of the equilibrium constant, is delta V degrees = -17.8 +/- 1.3 ml/mol. The effect of temperature was studied at 1 bar yielding delta H not equal to + = 29 +/- 1 kJ/mol, delta S not equal to + = -58 +/- 4 J/mol per K. Equilibrium studies give delta H degrees = -41 +/- 3 kJ/mol and delta S degrees = -59 +/- 10 J/mol per K. Possible contributions to the binding process are discussed: changes in spin state, bond formation and conformation changes in the protein. An activation volume analog of the Hammond postulate is considered.     

Alkylboronic acids accelerate affinity labelling of acetylcholinesterase with N,N,-dimethyl-2-phenylaziridinium ion

The kinetics of acetylcholinesterase alkylation with N,N-dimethyl-2-phenylaziridinium ion, the anionic-site-directed affinity label, has been investigated in the presence of alkylboronic acids, which are known as the esteratic-site-directed reversible inhibitors of the enzyme. The ternary complex of the enzyme, the aziridinium ion and alkylboronic acid, are formed in this reaction. In the case of propylboronic acid, for which the complete kinetic analysis of the acceleration effect has been carried out, the 85-fold increase in the rate of the enzyme alkylation reaction has been found. This acceleration effect was connected with the alkylation step, whereas the non-covalent binding of the aziridinium ion in the enzyme active centre was even hindered by the alkylboronic acid. The possible mechanism of this kinetic acceleration phenomenon is discussed with special reference to the kinetic data for the spontaneous solvolysis reaction of the aziridinium ion in water and organic solvents.     

Kinetic study of the activation process of frog epidermis pro-tyrosinase by trypsin

1. The rate of tyrosinase formation has been calculated by coupling the activatory process of frog epidermis pro-tyrosinase by trypsin to the oxidation of L-DOPA to dopachrome. Under certain conditions ([trypsin]/[pro-tyrosinase] greater than or equal to 300), the lag period of the coupled reactions, tau, is independent of trypsin concentration. 2. The specific rate constant of tyrosinase formation at different temperatures has been calculated, ranging from 0.025 sec-1, at 5 degrees C to 0.248 sec-1, at 30 degrees C. 3. Thermodynamic parameters of the activatory process (delta G not equal to = + 18.5 kcal/mol; delta H not equal to = + 14.8 kcal/mol; delta S not equal to = -12.4 e.u.; Ea = + 15.3 kcal/mol), have been determined by the study of the system at different temperatures. These values are characteristic for a normal chemical reaction. 4. From these kinetic data, the order of products formation in the proteolytic step, can be determined, active tyrosinase being the last product released.     

High-pressure stopped-flow spectrometry at low temperatures

A stopped-flow instrument operating over temperature and pressure ranges of +30 to -20 degrees C and 10(-3) to 2 kbar , respectively, is described. The system has been designed so that it can be easily interfaced with many commercially available spectrophotometers of fast response time, with the aid of quartz fiber optics. The materials used for the construction are inert, metal free and the apparatus has proven to be leak free at temperatures as low as -20 degrees C under a pressure of 2 kbar . The performance of the instrument was tested by measuring the rate of reduction of cytochrome c with sodium dithionite and the 2,6-dichloroindophenol/ascorbate reaction. The dead time of the system has been evaluated to be 20, 50, and congruent to 100 ms in water at 20 degrees C, in 40% ethylene glycol/water, and at 20 degrees C and -15 degrees C, respectively. These values are rather pressure independent up to 2 kbar . Application of the bomb was demonstrated using the cytochrome c peroxidase/ethyl peroxide reaction. This process occurred in two phases and an increase in pressure decreased the rates of reactions indicating two positive volumes of activation (delta V not equal to app (fast) = 9.2 +/- 1.5 ml X mol-1; delta V not equal to app (slow) = 14 +/- 1.5 ml X mol-1, temperature 2 degrees C). The data suggest that the fast reaction could involve a hydrophobic bond, whereas the slow process could be associated with a stereochemical change of the protein. The problem of temperature equilibrium for high-pressure experiments is also discussed.     

Temperature dependence of the conductivity of individual potential-dependent K+-channels in mollusk neurons]

Using the patch-clamp method temperature dependences of the chord conductance of single potential--dependent slow and fast K+ channels in mollusk neurons were studied. Under control conditions (20 degrees C, 0 mV, [K+]o = 1.5 mM and [K+]i = 100 mM) the conductances of the fast and slow K+ channels were equal to 20-25 pS and 30-40 pS, respectively. Besides, the temperature dependences of the currents through the K+ channels of lesser conductance (5-20 pS) were studied. Some of these channels may be regarded as subtypes of the fast and slow K+ channels named above. It was found that for the channels of all types single channel currents arise with temperature. However, in the range of 10-20 degrees C an anomalous conductance decrease at temperature elevation was observed. For all channels except for the fast one at temperatures above 20 degrees C activation energy (delta Ea) calculated from the Arrhenius plots of the currents was about 4 kcal/mol. At the temperatures below 10 degrees C delta Ea was equal to about 12 kcal/mol. In this temperature range delta Ea had a pronounced potential dependency. Temperature dependences of the fast K+ channel conductance were opposite to those of the slow K+ channel to some extent.     

Temperature dependence of enthalpy changes for ethidium and propidium binding to DNA: effect of alkylamine chains

Calorimetric titrations have been performed on the binding of ethidium and propidium to calf thymus DNA at temperatures in the 15-60 degrees C range. Enthalpy changes (delta HB) derived from these experiments performed with the new Omega reaction calorimeter have a precision of +/- 0.10 kcal/mol or less at all temperatures. For ethidium (a monocation), delta HB varies little with temperature, and the heat capacity change (delta CP) for the binding reaction derived from these parameters is 10 cal/deg/mol. In contrast, delta HB changes from -6.5 to -8.1 kcal/mol for DNA binding of propidium (a dication due to a charged amine group at the end of an alkyl chain attached to the phenanthridine ring nitrogen), and delta CP is -57 cal/deg/mol. At 21 degrees C a plot of delta HB vs mole ratio is curved downward for propidium in the 0.08-0.25 range, whereas the same plot at 45 degrees C is a straight line from 0.05 to 0.15 and sharply downward thereafter. Similar plots for ethidium follow the latter pattern between 25 and 50 degrees C. These observations and our analyses of delta HB and delta SB are consistent with the hypothesis that the location in the DNA complex and the rotational motion of the alkylamine chain change substantially over the temperature range in this study. Only near 50 degrees C is delta HB equal for the binding of these two cations to DNA, and caution must be used in analyses of enthalpic effects when the temperature dependence for delta HB is not available.     

NMR study of the alkaline isomerization of ferricytochrome c

The pH-induced isomerization of horse heart cytochrome c has been studied by 1H NMR. We find that the transition occurring in D2O with a pKa measured as 9.5 +/- 0.1 is from the native species to a mixture of two basic forms which have very similar NMR spectra. The heme methyl peaks of these two forms have been assigned by 2D exchange NMR. The forward rate constant (native to alkaline cytochrome c) has a value of 4.0 +/- 0.6 s-1 at 27 degrees C and is independent of pH; the reverse rate constant is pH-dependent. The activation parameters are delta H not equal to = 12.8 +/- 0.8 kcal.mol1, delta S not equal to = -12.9 +/- 2.0 e.u. for the forward reaction and delta H not equal to = 6.0 +/- 0.3 kcal.mol-1, delta S not equal to = -35.1 +/- 1.3 e.u. for the reverse reaction (pH* = 9.28). delta H degree and delta S degree for the isomerization are 6.7 +/- 0.6 kcal.mol-1 and 21.9 +/- 1.0 e.u., respectively.     

Titration of the phase transition of phosphatidylserine bilayer membranes. Effects of pH, surface electrostatics, ion binding, and head-group hydration

The dependence of the gel-to-fluid phase transition temperature of dimyristoyl- and dipalmitoylphosphatidylserine bilayers on pH, NaCl concentration, and degree of hydration has been studied with differential scanning calorimetry and with spin-labels. On protonation of the carboxyl group (pK2app = 5.5), the transition temperature increases from 36 to 44 degrees C in the fully hydrated state of dimyristoylphosphatidylserine (from 54 to 62 degrees C for dipalmitoylphosphatidylserine), at ionic strength J = 0.1. In addition, at least two less hydrated states, differing progressively by 1 H2O/PS, are observed at low pH with transition temperatures of 48 and 52 degrees C for dimyristoyl- and 65 and 68.5 degrees C for dipalmitoylphosphatidylserine. On deprotonation of the amino group (pK3app = 11.55) the transition temperature decreases to approximately 15 degrees C for dimyristoyl- and 32 degrees C for dipalmitoylphosphatidylserine, and a pretransition is observed at approximately 6 degrees C (dimyristoylphosphatidylserine) and 21.5 degrees C (dipalmitoylphosphatidylserine), at J = 0.1. No titration of the transition is observed for the fully hydrated phosphate group down to pH less than or equal to 0.5, but it affinity for water binding decreases steeply at pH greater than or equal to 2.6. Increasing the NaCl concentration from 0.1 to 2.0 M increases the transition temperature of dimyristoyphosphatidylserine by approximately 8 degrees C at pH 7, by approximately 5 degrees at pH 13, and by approximately 0 degrees C at pH 1. These increases are attributed to the screening of the electrostatic titration-induced shifts in transition temperature. On a further increase of the NaCl concentration to 5.5 M, the transition temperature increases by an additional 9 degree C at pH 7, 13 degree C at pH 13, approximately 7 degree C in the fully hydrated state at pH 1, and approximately 4 and approximately 0 degree C in the two less hydrated states. These shifts are attributed to displacement of water of hydration by ion binding. From the salt dependence it is deduced that the transition temperature shift at the carboxyl titration can be accounted for completely by the surface charge and change in hydration of approximately 1 H2O/lipid, whereas that of the amino group titration arises mostly from other sources, probably hydrogen bonding. The shifts in pK (delta pK2 = 2.85, delta pK3 = 1.56) are consistent with a reduced polarity in the head-group region, corresponding to an effective dielectric constant epsilon approximately or equal to 30, together with surface potentials of psi congruent to -100 and -150 mV at the carboxyl and amino group pKs, respectively. The transition temperature of dimyristoylphosphatidylserine-water mixtures decreases by approximately 4 degree C each water/lipid molecule added, reaching a limiting value at a water content of approximately 9-10 H2O/lipid molecule.     

Presynaptic effect of the aziridinium ion of acetylcholine mustard (methyl-2-acetoxyethyl-2'-chloroethylamine) on the phrenic nerve--rat diaphragm preparation.

The rat diaphragm has been used to investigate the neuromuscular blocking action of acetylcholine mustard which yields a potent nicotinic agonist, an aziridinium ion, in aqueous medium. Evidence was obtained that the acetylcholine mustard aziridinium ion impaired neuromuscular activity when the phrenic nerve was stimulated and that the ion did not directly inhibit muscle contraction. Impairment of neuromuscular activity was characterized by a latent period and depended both on the concentration of aziridinium ion and the frequency of stimulation of the phrenic nerve. Elevated concentrations of Ca-2+ and choline changed the response of the rat diaphragm to the aziridinium ion, the former increasing the rate of development of neuromuscular block and the latter protecting against neuromuscular block. These results indicated that the aziridinium ion may act either at the site of choline uptake or have an effect on acetylcholine synthesis in the nerve ending and that impairment of neuromuscular transmission in the rat diaphragm involved the availability of acetylcholine. Similar results were obtained with acetylcholine mustard aziridinium ion subjected to alkaline hydrolysis. This substance is thought to be choline mustard aziridinium ion. Although difficult to prove with the rat diaphragm it is possible that acetylcholinesterase of this preparation could hydrolyze acetylcholine mustard aziridinium ion at the neurotransmitter site and the resultant choline mustard aziridinium ion would interfere with the uptake of choline and eventually prevent neuromuscular transmission. This hemicholinium-like hypothesis for the mechanism of action of choline mustard aziridinium ion is compatible with reported date for toxicity of acetylcholine mustard aziridinium ion in the mouse.     

Thermal unfolding of dodecameric glutamine synthetase: inhibition of aggregation by urea.

Thermal unfolding of dodecameric manganese glutamine synthetase (622,000 M(r)) at pH 7 and approximately 0.02 ionic strength occurs in two observable steps: a small reversible transition (Tm approximately 42 degrees C; delta H approximately equal to 0.9 J/g) followed by a large irreversible transition (Tm approximately 81 degrees C; delta H approximately equal to 23.4 J/g) in which secondary structure is lost and soluble aggregates form. Secondary structure, hydrophobicity, and oligomeric structure of the equilibrium intermediate are the same as for the native protein, whereas some aromatic residues are more exposed. Urea (3 M) destabilizes the dodecamer (with a tertiary structure similar to that without urea at 55 degrees C) and inhibits aggregation accompanying unfolding at < or = 0.2 mg protein/mL. With increasing temperature (30-70 degrees C) or incubation times at 25 degrees C (5-35 h) in 3 M urea, only dodecamer and unfolded monomer are detected. In addition, the loss in enzyme secondary structure is pseudo-first-order (t1/2 = 1,030 s at 20.0 degrees C in 4.5 M urea). Differential scanning calorimetry of the enzyme in 3 M urea shows one endotherm (Tmax approximately 64 degrees C; delta H = 17 +/- 2 J/g). The enthalpy change for dissociation and unfolding agrees with that determined by urea titrations by isothermal calorimetry (delta H = 57 +/- 15 J/g; Zolkiewski M, Nosworthy NJ, Ginsburg A, 1995, Protein Sci 4: 1544-1552), after correcting for the binding of urea to protein sites exposed during unfolding (-42 J/g). Refolding and assembly to active enzyme occurs upon dilution of urea after thermal unfolding.     

Temperature dependence of the heat of activation in a single isometric contraction of the rat diaphragm. The effect of extra- and intracellular temperature

Using a myothermometric method it was found that at 27 degrees and 37 degrees C the activation heat (Qa) of a single isometric contraction of the Wistar's rats isolated diaphragm averages 0.26 +/- 0.02 mcal/g and 0.60 +/- 0.13 mcal/g, accordingly, and Q10 = 2.3. It has been proved that the value of Qa depends on the gradient of intracellular temperature decrease (delta T, r = 0.89, p less than or equal to 0.01) as Qa = 1.68 delta T + 1.30 under 0.01 less than or equal to delta T less than or equal to 1.0. It was concluded that high significance of Qa for the muscles of warm-blooded points to the damaged energetics of the contraction recovery period and delta T is an intracellular informative signal which always determines the value of Qa via the feedback mechanism.     

Temperature dependence of mammalian muscle contractions and ATPase activities

Isolated rat and mouse extensor digitorum longus (EDL) and soleus muscles were studied under isometric and isotonic conditions at temperatures from approximately 8 degrees -38 degrees C. The rate constant for the exponential rise of tension during an isometric tetanus had a Q10 of approximately 2.5 for all muscles (corresponding to an enthalpy of activation, delta H = 66 kJ/mol, if the rate was determined by a single chemical reaction). The half-contraction time, contraction time, and maximum rate of rise for tension in an isometric twitch and the maximum shortening velocity in an isotonic contraction all had a similar temperature dependence (i.e., delta H approximately 66 kJ/mol). The Mg++ ATPase rates of myofibrils prepared from rat EDL and soleus muscles had a steeper temperature dependence (delta H = 130 kJ/mol), but absolute rates at 20 degrees C were lower than the rate of rise of tension. This suggests that the Mg++ ATPase cycle rate is not limiting for force generation. A substantial fraction of cross-bridges may exist in a resting state that converts to the force-producing state at a rate faster than required to complete the cycle and repopulate the resting state. The temperature dependence for the rate constant of the exponential decay of tension during an isometric twitch or short tetanus (and the half-fall time of a twitch) had a break point at approximately 20 degrees C, with apparent enthalpy values of delta H = 117 kJ/mol below 20 degrees C and delta H = 70 kJ/mol above 20 degrees C. The break point and the values of delta H at high and low temperatures agree closely with published values for the delta H of the sarcoplasmic reticulum (SR) Ca++ ATPase. Thus, the temperature dependence for the relaxation rate of a twitch or a short tetanus is consistent with that for the reabsorption rate of Ca++ into the SR.     

A transient-kinetic study of the nitrogenase of Klebsiella pneumoniae by stopped-flow calorimetry. Comparison with the myosin ATPase.

The pre-steady-state kinetics of MgATP hydrolysis by nitrogenase from Klebsiella pneumoniae were studied by stopped-flow calorimetry at 6 degrees C and at pH 7.0. An endothermic reaction (delta Hobs. = +36 kJ.mol of ATP-1; kobs. = 9.4 s-1) in which 0.5 proton.mol of ATP-1 was released, has been assigned to the on-enzyme cleavage of MgATP to yield bound MgADP + Pi. The assignment is based on the similarity of these parameters to those of the corresponding reaction that occurs with rabbit muscle myosin subfragment-1 (delta Hobs. = +32 kJ.mol of ATP-1; kobs. = 7.1 s-1; 0.2 proton released.mol of ATP-1) [Millar, Howarth & Gutfreund (1987) Biochem. J. 248, 683-690]. MgATP-dependent electron transfer from the nitrogenase Fe-protein to the MoFe-protein was monitored by stopped-flow spectrophotometry at 430 nm and occurred with kobs. value of 3.0 s-1 at 6 degrees C. Thus, under these conditions, hydrolysis of MgATP precedes electron transfer within the protein complex. Evidence is presented that suggests that MgATP cleavage and subsequent electron transfer are reversible at 6 degrees C with an overall equilibrium constant close to unity, but that, at 23 degrees C, the reactions are essentially irreversible, with an overall equilibrium constant greater than or equal to 10.     

Inhibition of choline transport into human erythrocytes by choline mustard aziridinium ion.

Acetylcholine mustard aziridinium ion inhibited the transport of [3H]choline into human erythrocytes. Treatment of the erythrocytes with 1 X 10(-4) M tetraethylpyrophosphate prevented the inhibition of [3H]choline transport by acetylcholine mustard aziridinium ion. Hydrolyzed acetylcholine mustard aziridinium ion inhibited choline transport both in the presence and absence of 1 X 10(-4) M tetraethylpyrophosphate. The product of hydrolysis was equipotent with acetylcholine mustard in its ability to inhibit choline transport; incubation of this product with sodium thiosulfate prevented inhibition of choline transport thereby indicating the presence of an aziridinium ion. The hydrolysis product is likely to be choline mustard aziridinium ion. Results on the efflux of [3H]choline from erythrocytes in the presence of the proposed choline mustard aziridinium ion showed that the mustard moiety was transported into the red cells on the choline carrier. The rate of efflux of [3H]choline produced by choline mustard aziridinium ion was 55% of that produced by the same concentration of choline. It is concluded that acetylcholinesterase (EC 3.1.1.7) of red cells rapidly hydrolyzes acetylcholine mustard aziridinium ion to acetate and choline mustard aziridinium and the latter compound can act as a potent inhibitor of choline transport. This finding would indicate that the hemicholinium-like toxicity of acetylcholine mustard in the mouse is due to the formation of choline mustard aziridinium ion.     

Dynamic analysis of efficient heme rotation in myoglobin by NMR spectroscopy.

Sperm whale myoglobin was reconstituted with 1,4,5,8-tetramethylhemin. The hyperfine-shifted proton NMR signals from the prosthetic group exhibit remarkable pattern changes around 15 degrees C, while the globin resonances are normal to obey the Curie law. The NMR anomaly specifically observed for the heme signals suggests a slow to rapid rotational transition of the hemin about the iron-histidine bond. The temperature-dependent pattern changes were quantitatively analyzed by a dynamic NMR method. Two sets of analyses with the heme-methyl and pyrrole-proton lines consistently afforded delta H not equal to = 16.3 kcal/mol, delta S not equal to = 14.0 e.u., delta G not equal to = 12.1 kcal/mol at 298 K, and a frequency of 90 degrees heme rotation 5600 s-1 at 20 degrees C. The relatively large activation entropy suggests that structural rearrangements at the direct heme vicinity are involved and that efficient heme rotation is accomplished by a number of fluctuative local heme-globin contacts within a conserved crevice structure.     

Effect of NaCl addition on nanosecond O2 escaping reaction of myoglobin: evidences for the transition of myoglobin dynamic structure at 20 degrees C.

We studied the nanosecond (ns) geminate O2 escape reaction from the protein interior of myoglobin (Mb) to the solvent phase in the temperature range of 5-40 degrees C containing 0-0.1 M NaCl. In the flash photolysis experiments, we found that both the rate constant, kout, and its Arrhenius plot changed upon the variation of the NaCl concentration. In particular, it was noteworthy that the Arrhenius plot of kout dramatically changed in its slope, keeping the break at 20 degrees C, upon the addition of NaCl, indicating that the thermodynamic parameters such as an enthalpy of activation (delta H not equal to) and an entropy of activation (delta S not equal to) are different between above and below 20 degrees C, and that they are further altered upon the NaCl addition to the sample solution. From these results, we suggested that the Mb dynamic structure in the ns geminate O2 escape reaction is sensitively regulated by the interaction of the protein surface and the salt. The present study also showed that an inconsistency of the Arrhenius plot of kout between Chatfield et al. ((1990) J. Am. Chem. Soc. 112, 4680-4687) and us ((1990) J. Biol. Chem. 265, 18823-18828) is probably due to the difference in the solution condition.     

Conformational stability of ribonuclease T1. I. Thermal denaturation and effects of salts.

The thermal transition of RNase T1 was studied by two different methods; tryptophan residue fluorescence and circular dichroism. The fluorescence measurements provide information about the environment of the indole group and CD measurements on the gross conformation of the polypeptide chain. Both measurements at pH 5 gave the same transition temperature of 56 degrees C and the same thermodynamic quantities, delta Htr (= 120 kcal/mol) and delta Str (= 360 eu/mol), for the transition from the native state to the thermally denatured state, indicating simultaneous melting of the whole molecule including the hydrophobic region where the tryptophan residue is buried. Stabilization by salts was observed in the pH range from 2 to 10, since the presence of 0.5 m NaCL caused an increase of about 5 degrees C to 10 degrees C in the transition temperature, depending on the pH. The fluorescence measurements on the RNase T1 complexed with 2'-GMP showed a transition with delta Htr =167 kcal/mol and delta Str =497 eu/mol at a transition temperature about 6 degrees C higher than that for the free enzyme. The large value of delta Htr for RNase T1 indicates the highly cooperative nature of the thermal transition; this value is much higher than those of other globular proteins. Analysis of the CD spectrum of thermally denatured RNase T1 suggests that the denatured state is not completely random but retains some ordered structures.     

Kietics of thermal unfolding and refolding of thermostable phosphoglycerate kinase.

The kinetics of denaturation by guanidine hydrochloride (GuHCl) of a thermostable phosphoglycerate kinase (PGK) extracted from Thermus thermophilus and of yeast PGK at neutral pH were studied by circular dichroism. Denaturation by GuHCl proceeded as a first-order reaction. The activation free energy of the denaturation reactions (delta Gf not identical to ) in the absence of GuHCl was estimated to be 32.7 kcal/mol for T. thermophilus PGK and 27.9 kcal/mol for yeast PGK (at 25 degrees C). Measurements of the rate constants at various temperatures indicated that delta Gf not identical to has maximum values at 29 degrees C for T. thermophilus PGK and at 20 degrees C for yeast PGK, and that the temperature dependences of delta Gf not identical to, delta Hf not identical to, and delta Sf not identical to for T. thermophilus PGK are smaller than those of yeast PGK. Values of delta Sf not identical to for thermal denaturation for both PGK's are approximately 200 e.u.     

Temperature-dependent effects of high pressure on the bioluminescence of firefly luciferase.

This study measured the effect of high pressure on the enzyme kinetics of firefly luciferase. When firefly luciferase is mixed with luciferin and ATP, a transient flash of light is produced, followed by a weak light, lasting hours. The first stage reaction produces an enzyme-luciferin-AMP complex and pyrophosphate. Addition of pyrophosphate to the reaction mixture decelerated the reaction rate, and the initial flash was prolonged to a plateau, showing a quasi-equilibrium state. The effects of temperature and pressure were analyzed at the plateau. The temperature scan showed that the maximum light intensity was observed at about 22.5 degrees C. When pressurized below the temperature optimum, pressure decreased the light intensity, while increasing it above the temperature optimum. According to the theory of absolute reaction rate, the following values were obtained for the bioluminescent reaction: delta V++ = 823.7 - 2.8 T cm3/mol and delta V = -280.47 + 0.94T cm3/mol, where T is the absolute temperature, delta V++ and delta V are, respectively, activation volume and the volume change due to thermal unfolding. The optimal temperature for the maximum light output occurs because the reaction rate increases with the temperature elevation at low temperature range, but the thermal unfolding of the enzyme decelerates the reaction velocity when the temperature exceeds a critical value. The intensity of luminescence is modified by the influence of pressure on both delta V++ and delta V. So long as the volume of the activated complex (V++) exceeds the average volume of the nonactivated complex (VN), pressure will slow down the reaction. At the point where the volumes become equal, there is no change in the rate under pressure. When the volume of the activated complex is less than that of the reactants, pressure will speed up the rate. This study showed that firefly luciferase is not exceptional to other enzymes in responding to high pressure.