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i ¸. ~ . , , ) E ~ E ~ E R

Effects of Metal Ions on the Catalytic and

Thermodynamic Properties of the

Aminopeptidase Isolated from Pronase

Chien-Hou Wu and Wann-Yin Lin

Department of Chemistry, National Taiwan University, Taipei, Taiwan

A B S T R A C T

The effect of metal ions on the catalytic and thermodynamic properties of the aminopeptidase isolated from pronase has been investigated. A decrease in K M and enhanced activity were observed for most of the metal ions examined. Ca(II) exhibits the most prominent effect on enzyme activity. The observed stability constants for the enzyme-bound metal ions are in the range of 102-106 M - l , which is much smaller than that of a metalloenzyme, indicating that the metal ion is not an integral part of the enzyme. The complexation of L-leucine-p-nitroanilide and the transition metal ions causes a reduction in free substrate concentration and hence a concomitant decrease in enzyme activity. Therefore, care must be taken to account for this decrease in substrate concentration in order to obtain reliable kinetic parameters. Binding of E and S to form ES was accompanied by a decrease in Gibbs free energy, whereas a dramatic increase in the free energy was observed for the conversion of ES to ES*. Both the enthalpy and the entropy were found to be crucial in destabilizing ES*. In the presence of Ca(lI), ES is stabilized by ~ 1 k c a l / m o l and ES* by ~1.4 k c a l / m o l . The stabilization of ES by the presence of Ca(II) is reflected by a smaller KM value compared to that of the metal-free enzyme. The activation free energies for the process E + S ~ ES* were 10.8 and 9.4 k c a l / m o l for the metal-free and the Ca(II)-activated enzymes, respectively. The difference of ~ 1.4 k c a l / m o l in the activation free energy may account for enhanced activity by the presence of Ca(II).

A B B R E V I A T I O N S

Hepes, (N-[2-hydroxyethyl] piperazine-N'-[2-ethanesulfonic acid); LPNA, L-leucine-p-nitroanilide; AP-I, aminopeptidase-I; ES, ground-state enzyme-substrate complex; ES*, transition-state enzyme-substrate complex.

Address reprint requests to: Professor Wann-Yin Lin, Department of Chemistry, National Taiwan University, Roosevelt Road, Section 4, Taipei, Taiwan 10764.

Journal of Inorganic Biochemistry, 57, 79-89 (1995)

© 1995 Elsevier Science Inc., 0162-0134/95/$9.50

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80 C.-H. Wu and W.-Y. Lin

INTRODUCTION

The involvement of metal ions in metalloprotease catalysis has long been recognized [1]. The metal ion is considered to be an integral part of the protein structure and is likely to enhance the nucleophilicity of water, to polarize the peptide bond to be cleaved, or to stabilize the transition state of the enzyme- substrate complex [2, 3]. Recently, we purified from pronase two monomeric aminopeptidases with molecular masses of 32 kDa [4]. These two enzymes are very similar and do not necessarily require metal ions for activity. However, the presence of a calcium ion was found to dramatically enhance the activity and thermal stability of the enzyme. Chemical modification of the aminopeptidase also revealed that the calcium ion plays an important role in substrate binding and turnover, in particular for the enzyme with one histidine being modified [4]. In order to obtain further insights into the roles of metal ions in enzyme catalysis, we have investigated the effect of different metal ions on the catalytic properties of these enzymes and have determined the thermodynamic parame- ters for the enzyme-catalyzed reactions. The enzyme activity was modified to various extents by the presence of different metal ions with Ca(II) exhibiting the most prominent effect. The presence of a calcium ion was found to stabilize both the ground state and transition state of the enzyme-substrate complexes. Furthermore, the peptide substrates are capable of finding some transition metal ions. The formation constants of the substrate-bound metal ions have also been determined. This complexation process has to be taken into account in dealing with the kinetic results in order to obtain reliable kinetic parameters.

EXPERIMENTAL Materials

Pronase E, all metal salts, NaOH, and HC1 were purchased from E. Merck (Darmstadt, Germany). Hepes and LPNA were obtained from Sigma Chemical Co. (St. Louis, MO, U.S.). Procedures for metal-free water (with a resistivity of 18 M ~ / c m ) , buffers, plastic wares, and dialysis tubings were conducted as recommended [5-7]. The purification of aminopeptidases from pronase was performed as described previously [4]. The absorption measurements were performed on a Hitachi U-3210 spectrophotometer (Hitachi, Japan).

Effect of Metal Ions on Enzyme Activity

The enzyme activity against LPNA was determined by monitoring the ab- sorbance change at 405 nm using a molar absorptivity of 9900 M-1. cm-1 [8]. The enzyme was dialyzed extensively against 10 mM Hepes (pH 8.0) at 4°C to remove the calcium ion (which is not very tightly bound, as shown later) introduced during purification. Dialysis of the enzymes with EDTA is not necessary for the preparation of the metal-free enzymes because the activities for the EDTA-treated and the buffer-dialyzed enzymes are found to be the same. The enzyme was also assayed for its metal contents by inductively coupled plasma-mass spectrometer and the results indicated the absence of Zn(II) (the most common metal ion in aminopeptidase) and Ca(II). The absence of other

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E F F E C T S O F M E T A L I O N S O N P R O N A S E A M I N O P E P T I D A S E S 81

metal ions may result f r o m the t r e a t m e n t of the proteins with E D T A during the purification process [4]. T h e metal-free enzyme was incubated at 25°C in the presence of 1 m M of the a p p r o p r i a t e metal ion to be studied in 10 m M Hepes, p H 8.0, for 30 min and the kinetic p a r a m e t e r s

(kca t

and K M) were determined by the conventional initial-rate method.

T h e reaction m e c h a n i s m for the m e t a l - d e p e n d e n t A P - I is described in Scheme 1 [9] with the corresponding variations in kcat, KM, and k c a t / K M as functions of metal ion concentrations given by:

kca t = kp(ceK D + / 3 [ M ] ) / ( c e K D + [M]),

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K M = K s ( K D + [ M ] ) / ( K D + [ M ] / a ) , (2) k c a t / K M = ( k p / K s ) ( K D + / 3 [ M ] / o t ) / ( K D + [M]),

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where [M] is the metal ion concentration. O t h e r p a r a m e t e r s are defined in Scheme 1. Consequently, m e a s u r e m e n t s of

kcat, KM,

and k c a t / K M at various metal ion concentrations allow the determination of K D, o~, and /3 f r o m the curve fittings of Eqs. (1)-(3).

Measurements of the Binding Constants of LPNA and Metal Ions

T h e absorption spectrum of L P N A was dramatically changed upon addition of some transition metal ions. F o r Ni(II), Co(II), and Zn(II), a 1:1 complex is f o r m e d and the absorbance at a given wavelength, A, is given by:

A = ( A 0 + A 1 K f [ M ] ) / ( 1 + K f [ M ] ) (4) where A 0 and A 1 are the absorbances of the free L P N A and the m e t a l - L P N A complex, respectively; Kf is the conditional formation constant of L P N A and the metal ion. Thus, m e a s u r e m e n t s of the absorbances of L P N A at various metal ion concentrations allow the determination of Kf by nonlinear least- squares fit of Eq. (4).

F o r Cu(II), both 1:1 and 1:2 complexes are observed and the absorbance is given by: A = A o [ L ] / [ L ] o + A , K I [ M I [ L ] / [ L ] o + A 2 K 1 K 2 [ M ] [ L I 2 / [ L ] o , (5) Ks

kp

E + S ES -- E + P + + M M M E + S * M E S ~' M E + P

SCHEME 1. Kinetic mechanism for metal- dependent aminopeptidase catalysis. Sym- bols: E = enzyme, S = substrate, M = metal, P = products. K D is the dissociation constant of the enzyme-bound metal ion, K s the dissociation constant, and kp the turnover rate of the enzyme-substrate complex, a and /3 are constants describing the changes in K s (or K D) and kp, respectively, upon metal-ion binding.

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82 C-It. Wu and W.-Y Lin

where A 1 and A 2 are the absorbances for 1:1 and 1:2 Cu(II)-LPNA complexes, K 1 and K 2 their corresponding stepwise formation constants, and [L] 0 and [L] the total and equilibrium concentrations of LPNA. The mass balance equations for [M] 0 and [L] 0 are:

[M]o = [M](1 + K,[L] + K1Kz[L] 2) (6)

[L]o = [L] + KI[M][L] + 2KIK2[M][L] 2. (7)

The values of K 1 and K 2 are determined from the nonlinear least-squares fit of the absorbances of LPNA at various metal ion concentrations based on Eqs. (5)-(7) using our own computer program. The presence of Mn(II) causes only a small change in the absorption of LPNA and the binding constant was deter- mined by the conventional metal-competition method.

Determination of the Thermodynamic Parameters

Application of the transition state theory to a simple Michaelis-Menten mecha- nism, E + S ~ ES ~ products, reveals that the processes E + S ~ ES and ES -~ ES* are governed by the kinetic parameters 1 / K M and kca t, respectively [10]. Where E and S denote the enzyme and the substrate, ES and ES* are the ES complexes in the ground state and in the transition state, respectively. Therefore a plot of lnkca t versus 1 / T allows the determination of the activation energy, Ea, for ES -~ ES*. Other thermodynamic parameters for this transformation at a given temperature can be estimated by the following relations: AG* = RT- ln(kaT/kcath), AH* = E a - RT, AS* = ( A H * - AG*)/T, where ka, h, and R are the Boltzmann, Planck, and gas constants; other thermodynamic functions have the usual meanings. On the other hand, the values of AH and AS for the process E + S ~ ES can be determined from the plot of l n ( 1 / K M) versus 1 / T and the value of AG at a given temperature is calculated by: AG = AH - TAS.

RESULTS

Effects of Metal Ions on Enzyme Activity

As the two aminopeptidases from pronase were very similar [4], only aminopep- tidase-I was investigated. This enzyme exhibits a considerable activity against LPNA even in the absence of metal ions and its activity is unaffected by the presence of 1 m M of 1,10-phenanthroline. These results indicate that AP-I does not necessarily require a metal ion for activity. In the presence of various metal ions, three different types of variation in enzyme activity against LPNA (ex- pressed as v/[E] 0) were observed as demonstrated in Figure 1. For akaline earth metal ions, the enzyme activity increases and finally levels off as the metal ion concentration increases (e.g., Fig. 1A for Ca(II)). For Mn(II), Co(II), and Zn(II), the activity increases as metal ion concentration increases but decreases at large metal ion concentrations (e.g., Fig. 1B for Mn(II)). For Cu(II) and Ni(II), the

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E F F E C T S O F M E T A L I O N S O N P R O N A S E A M I N O P E P T I D A S E S 83 300' • ~, 2OO Q ~ 1 0 0 ' A

f

0 I I I 0.0 0.1 0.2 0.3 0.4 [Ca(II)] (raM) 19 D 10 8 6 O 4 I i I I I 5 10 15 20 [Mn(II)] (mM) C 0 ' ' • ' 0 20 40 60 [Cu(II)] (~tM)

FIGURE 1. Dependence of the activity of AP-I against LPNA on metal ion concentrations for (A) Ca(II), (B) Mn(II), and (C) Cu(II). 1 p~M of AP-I solution containing the appropriate metal ion was incubated at pH 8.0 and 25°C for 30 min. An aliquot of the enzyme solution was assayed against LPNA (1 mM for A; 0.1 mM for B and C) in the same buffer as used in the incubation.

activity decreases monotonically as the metal ion concentration increases (e.g., Fig. 1C for Cu(II)). To reveal the effect of metal-substrate interaction on enzyme activity at low concentrations of metal ions (0.1 M or less, because of p o o r solubility), low substrate concentration (0.1 M) was used in Fig. 1B and C. These three classes of activity-variations will be discussed in the following sections.

D e t e r m i n a t i o n o f a , /3, a n d K D

T h e values of kca t, K M, and k c a t / K M for the hydrolysis of L P N A catalyzed by A P - I in 10 m M H e p e s ( p H 8.0), 0.1 M NaCI at 25°C were d e t e r m i n e d at various concentrations of Ca(II) as d e m o n s t r a t e d in Figure 2. G r a d u a l increases in kca t (curve A) and k c a t / K M (curve C) and decrease in K M (curve B) were observed as Ca(II) was increased. Nonlinear least-squares fits of the kinetic p a r a m e t e r s to

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84 C.-H. Wu and W.-Y. Lin

Eqs. (1), (2), or (3) were performed as illustrated by the solid curves that were drawn through the data points in Figure 2. The values of a, fl, B / a , and K o

obtained from different plots of Figure 2 were in excellent agreement with each o t h e r and their average values are 0.18, 2.24, 12.4, and 0.14 mM, respectively. Similar procedures were also employed to Mg(II), Sr(II), and Ba(II) and the obtained values of a, /3, and K D were also given in Table 1.

Determination o f the Binding Constants o f LPNA and Metal Ions

The absorption spectra of L P N A taken at various [Ni(II)] in 10 mM Hepes (pH 8.0), 0.1 NaC1 at 25°C were shown in Figure 3. The spectra exhibited two isosbestic points at 268 and 344 nm. Nonlinear least-squares fit of the ab- sorbance changes (h = 320 nm) at various [Ni(II)] to Eq. (4) (represented by the solid curve in the inset of Fig. 3) gave a conditional formation constant of 950 M-1 for the Ni(II)-LPNA complex. Similar variations in the absorption spectra, with exactly the same isosbestic points, were observed for Zn(II) and Co(II). The values of Ky for these two metals were also given in Table 1.

Two stages of variations in the absorption spectra of L P N A were observed upon the addition of Cu(II). The spectra exhibited two sets of isosbestic points

400 ~,~ 300 200 A 1 0 0 ' ~ ' ~ ~ ' 0 100 200 300 4 0 0 2.0 1.5 q 1.0 0.5 0.0 0 1000 ~ ! 800 600 400 200 , 0 i B , I i I I 0 0 2 0 0 3 0 0 4 0 0 C I I I I00 200 300 400 [Ca(II)] (I~M)

FIGURE 2. (A) Dependence of k c a t o n

Ca(II). The solid curve was calculated by Eq. (1) using a = 0.18, /3 = 2.26, K o = 0.11 mM. (B) Dependence of K M on [Ca(II)]. The solid curve was calculated by Eq. (2) using a =0.18, K o = 0.16 mM. (C) Dependence of kcat/KM on [Ca(II)]. The solid curve was calculated by Eq. (3) using a = 0.18, /3 = 2.20, K o = 0.15 mM.

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EFFECTS OF METAL IONS ON PRONASE AMINOPEPTIDASES 85 T A B L E 1. Kinetic P a r a m e t e r s for M e t a l - D e p e n d e n t A P - I a n d F o r m a t i o n C o n s t a n t s of M e t a I - L P N A C o m p l e x e s a'b M e t a l ion a ~ fl/ot K D ( m M ) Kf (M i) None 1.00 1.00 1.00 Mg(II) 0.25 0.36 1.43 3.3 - - " Ca(II) 0.18 2.24 12.4 0.14 ... Sr(II) 0.34 1.44 4.24 1.8 " Ba(II) 0.49 1.55 3.16 2.1 - - " Mn(II) 0.24 0.74 3.08 0.40 70 Co(II) 0.13 0.61 4.69 0.67/~M 71 Zn(II) 0.57 0.71 1.24 0.06 160 Ni(II) 0.94 0.43 0.46 0.34 950

aMeasured at 25°C in 10 mM Hepes, 0.1 M NaC1, pH 8.0. bK s = 1.6 mM, kp = 150 s -1.

CNo interactions were observed for LPNA and the alkaline earth metals.

~9 c~ O 0.6 0.4 0.2 250 0.60 0.55 co < v.0 2.0 4.0 6.0 [Ni(U)] (raM) 300 350 400 450 W a v e l e n g t h

(nm)

F I G U R E 3. A b s o r p t i o n s p e c t r a o f 50 ~ M L P N A in 10 m M H c p e s ( p H 8.0), 0.1 M NaC1 at v a r i o u s [Ni(II)]. T h e a r r o w s i n d i c a t e t h e d i r e c t i o n o f a b s o r p t i o n c h a n g e as [Ni(II)] increases. T w o isosbestic p o i n t s at 268 a n d 344 n m w e r e o b s e r v e d . Insct: a b s o r b a n c e c h a n g e s at 320 n m at v a r i o u s [Ni(II)]. T h e solid curve was c a l c u l a t c d by Eq. (4) using a f o r m a t i o n c o n s t a n t o f 950 M - 1 .

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86 C.-H. Wu and W.-Y. Lin

at 278, 327 nm and 276, 343 nm, respectively. The two stages of absorption changes are due to the formation of 1:2 and 1:1 Cu(II)-LPNA complexes, respectively. Nonlinear least-squares fit of the biphasic absorbance changes (A = 315 nm) at various [Cu(II)] to Eqs. (5)-(7) gave two stepwise formation constants of 1.1 × 106 and 4.2 × l0 s M -1.

The formation of the metal-LPNA complexes causes a decrease in free LPNA concentration and hence a concomitant drop in enzyme activity because the metal-bound substrate is not hydrolyzed. With the known formation constants, the free substrate concentration can be calculated by IS] = [S]0/(1 + Kf[M]). The use of the free substrate concentration allowed the determination of a, fl, and K D for the metal-incubated AP-I by the same procedures described in the previous section; the results were given in Table 1.

According to Scheme 1, the activities (in terms of v/[E] 0) at various metal ion concentrations can be expressed as [9]:

v kp[S](otK D + f l [ M ] ) / ( a K D + [M])

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[E]0 Ks(K D + [ M ] ) / ( K D + [ M ] / a ) + [S]

As an example, the values of v/[E] 0 at various [Mn(II)], calculated from Eq. (8) using [S] = [S]0/(1 + Kf[M]) and the parameters listed in Table 1, were repre- sented by the solid curve in Figure lB. For Ca(II), which exhibits no appreciable binding with LPNA, [S] = [S] 0 was used in the calculation of v/[E] 0 and the results were expressed as the solid curve in Figure 1A. Both curves agree with the experimental data very well.

Determination of the Thermodynamic Parameters

Because Ca(II) exhibits the most prominent effect on enzyme activity, the thermodynamic parameters for the enzyme-catalyzed reaction in the absence or presence of Ca(II) were determined to obtain further insights into the role of the metal ion in enzyme catalysis. Typical plots of ln kca t or ln(1/K M) versus 1 / T for the hydrolysis of LPNA catalyzed by AP-I in the presence of 5 mM CaC12 were demonstrated in Figure 4. Linear least-squares fits of the data gave an activation energy of 7.5 _+ 0.4 kcal/mol for the process ES - , ES* from the plot of In kcat vs. 1 / T and AH = - 4 . 7 _+ 0.4 kcal/mol, AS = 0.6 _ 0.1 cal . K - l f o r E + S ~ ES from the plot of l n ( 1 / K M) vs. 1/T. Other thermodynamic parame- ters (at 25°C) were calculated using the relations described in the experimental section; the results are given in Table 2. Similar procedures were also employed to the enzyme-catalyzed reactions under the metal-free conditions and the obtained thermodynamic parameters are also given in Table 2. The activation free energies for the process E + S ~ ES *, calculated from the data in Table 2, were 10.8 and 9.4 kcal/mol for the metal-free and the Ca(II)-activated en~mes, respectively.

DISCUSSION

Most aminopeptidases contain an intrinsic catalytic-essential zinc ion [11-15]. Addition of different metal ions to a second metal-binding site or formation of hybrids of metal ions on both binding sites modify the enzyme activity to various extents [16-18]. The aminopeptidase reported in this study still exhibits Signifi-

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EFFECTS OF METAL IONS ON PRONASE AMINOPEPTIDASES 87 Z~ 6.2 5.8 5.4 5.0 4.6 o.o031 I 0.0033 1/T (K -I ) 0.0035 8.6 8.3 8.0 7.7 o.o031 0.0033 0.0035 1/T (K 1 )

F I G U R E 4. Plots of (A) lnkca t versus 1 / T and (B) l n ( 1 / K M) versus 1 / T for the hy- drolysis of L P N A catalyzed by 1 n M of A P - I in the presence of 5 m M CaCl 2 in 10 m M Hepes, p H 8.0.

cant activity against LPNA in the absence of metal ions and its activity was unaffected by the presence of 1,10-phenanthroline, indicating that this enzyme does not necessarily require a metal ion for activity. The observed conditional stability constants ( 1 / K D) for the enzyme-bound metal ions are in the range of 102-106 M -1, which are much smaller than that of an ordinary metalloenzyme ( 1 / K D > 108 M-1), in which the metal ion is considered to be an integral part of the protein. Thus, it may not be appropriate to classify it as a metalloenzyme. The metal ions was found to be indispensable for enzyme activity when one of the histidines in the enzyme was modified by diethylpyrocarbonate. The activity of the modified enzyme in the presence or absence of Ca(II) differed by more than two orders of magnitude [4] indicating that Ca(II) is catalytically important in enzyme catalysis. This enzyme seems to possess some characteristics of both

t h e m e t a l l o - a n d n o n m e t a l l o - a m i n o p e p t i d a s e .

T A B L E 2. T h e r m o d y n a m i c P a r a m e t e r s for the Hydrolysis of L P N A Catalyzed by A P - I at 25°C in the A b s e n c e or Presence of Ca(II) a

E + S ~ ES ES ~ ES*

[Ca(II)] A G A H AS AG* A H * AS* Ea

0 - 3 . 9 - 2 . 6 4.5 14.7 5.1 - 3 2 5.7

5 m M - 4 . 9 - 4.7 0.6 14.3 7.0 - 24 7.5

aThe units for AG, AH, and Ea are kcal/mol and AS is in cal/K. Ea was obtained from the plot of lnkca t vs. l / T ; AH and AS were obtained from the plot of l n ( l / K M) vs. 1/T.

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88 C.-H. Wu and W.-Y. Lin

The activity of AP-I against LPNA was found to be influenced by the presence of metal ions. A decrease in K M (i.e., oz < 1) was observed for all the metal ions examined (Table 1) suggesting an enhanced substrate affinity proba- bly due to a stabilization of the ES complex through the interaction of the enzyme-bound metal ion and the nucleophilic groups of the substrate. The kcat'S were increased (i.e., /3 > 1) by the presence of Ca(II), Sr(II), or Ba(II) and decreased by the rest of metal ions tested, whereas an enhanced activity (i.e.,

/3/a > 1) was observed for most of the metal ions examined except Ni(II). Ca(II) was found to exhibit the most prominent effect on enzyme activity.

The spectral changes of L P N A induced by the binding of some transition metal ions were utilized to determine the stability constants for the LPNA-bound metal ions. L P N A binds Cu(II) very tightly, as revealed by the large stepwise formation constants. As a result, very little free L P N A will be left when [Cu(II)] > 0.5[LPNA]. For example, in a typical assay of AP-I ([E] ~ 1 nM) with 0.1 m M LPNA, the fraction of the unbound LPNA is 8.0% in the presence of 0.05 m M Cu(II) and only 1.4% in the presence of 0.1 mM Cu(II). The decrease in free L P N A concentration will result in a concomitant decrease in enzyme activity, as seen in Figure 1C. Consequently, the effect of Cu(II) on the catalytic behavior of AP-I cannot be investigated by the kinetic method using the substrate LPNA. The decrease in enzyme activity at high concentrations of some transition metal ions (e.g., Fig. 1B) also resulted from the complexation of the substrate and the metal ions; corrections for the free substrate concentrations have to be made in order to obtain reliable kinetic parameters.

The thermodynamic parameters for Ca(II)-activated AP-I were also deter- mined to get a further insight into the role of the metal ions in enzyme catalysis. The obtained free energy changes for the processes E + S ~ ES ~ ES * are illustrated diagrammatically in Figure 5. Binding of E and S to form ES is energetically favorable (AG < 0) indicating a stabilization of the ES complex probably due to the complementary structures of the substrate and the active site of the enzyme. In contrast, the transformation of ES to ES * is unfavorable (AG > 0) because of the activation energy of the bond making and breaking. Both the enthalpy and the entropy were found to be crucial in destabilizing ES< A positive enthalpy indicates that substantial conformational changes may occur during the conversion of ES to ES< On the other hand, a large negative value of the entropy (Table 2) suggests that some of the molecular motions in the ES complex may become restricted or even frozen as ES is converted to ES< In the

ES*

14"71

... ~

49

3.9 /

ES

Reaction coordinate

FIGURE 5. Diagrammatic representation of the Gibbs free energy changes illustrating the conver- sions of E + S --* ES --* ES ~ for the hydrolysis of LPNA catalyzed by AP-I in the absence (solid line) or presence (dashed line) of 5 mM CaC12.

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E F F E C T S O F M E T A L I O N S O N P R O N A S E A M I N O P E P T I D A S E S 89

presence of Ca(II), ES is stabilized by ~ 1 k c a l / m o l and ES* by ~ 1.4 k c a l / m o l . T h e stabilization of ES by the presence of Ca(II) is reflected by a smaller K M value c o m p a r e d to that of the metal-free AP-I. T h e activation free energies for the process E + S ~ ES* were found to be 10.8 and 9.4 k c a l / m o l for the metal-free and the Ca(II)-activated AP-I, respectively. The difference of ~ 1.4 k c a l / m o l in the activation free energy may account for the enhanced enzyme activity (/3/o~ ~ 12) by the presence of Ca(II).

We thank the National Science Council of the Republic of China for financial support of this research.

R E F E R E N C E S

1. Bioactive Molecules, Vol. 8: Metalloproteins, S. Otska and T. Yamanaka, Eds. Elsevier,

Amsterdam, 1988, pp. 343-391.

2. D. M. Christianson and W. N. Lipscomb, Acc. Chem. Res. 22, 62 (1989).

3. B. W. Matthews, Acc. Chem. Res. 21, 333 (1988).

4. S.-H. Yang, C.-H. Wu, and W.-Y. Lin, submitted to Biochem. J.

5. J. F. Riordan and B. L. Vallee, Methods Enzymol. 158, 1 (1988).

6. B. Holmquist, Methods Enzymol. 158, 6 (1988).

7. D. S. Auld, Methods Enzymol. 158, 13 (1988).

8. G. P. Royer and T. P. Andrews, J. Biol. Chem. 248, 1807 (1973).

9. I. H. Segel, Enzyme Kinetics, John Wiley & Sons, New York, 1975, pp. 227-231.

10. A. Fersht, Enzyme Structure and Mechanism, 2nd edn., Freeman, New York, 1985, pp.

311-346.

11. F. H. Carpenter and J. M. Vahl, Biochemistry 248, 294 (1973).

12. S. R. Himmelhoch, Arch. Biochem. Biophys. 134, 597 (1969).

13. J. M. Prescott and S. H. Wilkes, Methods Enzymol. 45, 530 (1976).

14. J. Rodriguez-Absi and J. M. Prescott, Arch. Biochem. Biophys. 186, 383 (1978).

15. F. W. Wagner, L. E. Ray, M. A. Ajabnoor, P. E. Ziemba, and R. L. Hall, Arch. Biochem. Biophys. 197, 63 (1979).

16. H. E. Van Wart and S. H. Lin, Biochemistry 20, 5682 (1981).

17. M. P. Allen, A. H. Yamada, and F. H. Carpenter, Biochemistry 22, 3778 (1983).

18. J. M. Prescott, F. M. Wagner, B. Holmquist, and B. L. Vallee, Biochemistry 24, 5350

(1985).

數據

FIGURE  1.  Dependence  of the  activity  of AP-I  against  LPNA  on  metal  ion  concentrations  for  (A)  Ca(II), (B)  Mn(II),  and  (C)  Cu(II)
FIGURE  2.  (A)  Dependence  of  k c a  t  o n
FIGURE  5.  Diagrammatic  representation  of  the  Gibbs  free  energy  changes  illustrating  the  conver-  sions  of  E + S --* ES --* ES ~  for  the  hydrolysis  of  LPNA catalyzed by AP-I in the absence  (solid line) or  presence  (dashed line) of 5 mM

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Then, we tested the influence of θ for the rate of convergence of Algorithm 4.1, by using this algorithm with α = 15 and four different θ to solve a test ex- ample generated as

Particularly, combining the numerical results of the two papers, we may obtain such a conclusion that the merit function method based on ϕ p has a better a global convergence and

Then, it is easy to see that there are 9 problems for which the iterative numbers of the algorithm using ψ α,θ,p in the case of θ = 1 and p = 3 are less than the one of the

volume suppressed mass: (TeV) 2 /M P ∼ 10 −4 eV → mm range can be experimentally tested for any number of extra dimensions - Light U(1) gauge bosons: no derivative couplings. =&gt;

Define instead the imaginary.. potential, magnetic field, lattice…) Dirac-BdG Hamiltonian:. with small, and matrix

incapable to extract any quantities from QCD, nor to tackle the most interesting physics, namely, the spontaneously chiral symmetry breaking and the color confinement.. 

• Formation of massive primordial stars as origin of objects in the early universe. • Supernova explosions might be visible to the most