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Metals in Enzyme-Catalyzed Enolization and Elimination Reactions A. S. MILDVAN The Institute for Cancer Research, Fox Chase, Philadelphia, Pa. 19111 and The University of Pennsylvania, Philadelphia, Pa. 19104
Nuclear relaxation studies of substrates and inhibitors have resulted in the detection of 10 enzyme-Mn-substrate and 4 enzyme-Mn-inhibitor bridge complexes possessing kinetic and thermodynamic properties consistent with their partici pation in enzyme catalysis. Three cases of αactivation, by divalent cations, of enzyme-catalyzed enolization reactions (pyruvate carboxylase, yeast aldolase, D-xylose isomerase), and one case of δ activation of an enzyme-catalyzed elimina tion reaction (histidine deaminase) have thereby been estab lished. Thus, in each proven case, the enzyme-bound Mn coordinates an electronegative atom (Z) of the substrate, which is attached to a carbon atom one or two bonds away from the carbon atom which is to be deprotonated:
By σ and π electron withdrawal, the metal ion increases the acidity of this proton and facilitates its removal.
/ C o n s i d e r i n g the role of metals in the mechanism of enzyme-catalyzed ^ elimination and enolization reactions, so that we might understand the role of the metal, we w i l l restrict ourselves to those cases i n which both the substrate and the enzyme donate ligands to the metal, i n the ternary complex; i.e., in which an enzyme-metal-substrate bridge com plex ( E - M - S ) has been established.
390 Dessy et al.; Bioinorganic Chemistry Advances in Chemistry; American Chemical Society: Washington, DC, 1971.
18.
MILD VAN
Enolization and Elimination Reactions
391
Figure 1. Distances in established enzyme-metal-substrate bridge complexes from longitudinal nuclear relaxation rates In 1966, two methods were introduced for the detection and study of E - M - S complexes i n solution: the E P R method (1) and the N M R method (2, 3 ) . Both require the presence of a paramagnetic metal. The E P R method, which was used to establish the structure of the metmyoglobin-Fe -fluoride complex (1), consists of the detection of hyperfine splitting i n the E P R spectrum of the metal by a magnetic nucleus of the ligand. Since hyperfine coupling operates only through chemical bonds (4), the E P R method rigorously demonstrates direct coordination, but is probably limited to complexes of F e and C u at liquid nitrogen temperatures. The N M R method, first used to detect the pyruvate kinase-Mn — 0 P F complex (2, 3 ) , consists of the demonstration of an enhanced effect of the enzyme-bound paramagnetic metal on the nuclear relaxation rates of magnetic nuclei of the ligand. The N M R method, which is useful i n the liquid state at ambient temperatures where the enzyme can function, has been used with M n , C o , and F e (5,6,7) and in principle should be applicable to C u enzymes as well. A large number of enzyme-metalsubstrate bridge complexes have been detected by the N M R method, which also permits the determination of their kinetic and thermodynamic properties ( 5 ) . The metmyoglobin-Fe -fluoride complex, originally demonstrated by the E P R method, has been detected b y the N M R method as well ( 6 ) . Those metal bridge complexes detected i n solution which possess kinetic and thermodynamic properties consistent with their participation in the catalytic process are summarized i n Figure 1. Parenthetically, the technique of x-ray diffraction, while providing a powerful method for determining the total structure of ternary E - M - S 3+
m
1 1
2+
3
2 +
2+
3+
2 +
in
Dessy et al.; Bioinorganic Chemistry Advances in Chemistry; American Chemical Society: Washington, DC, 1971.
392
BIOINORGANIC CHEMISTRY
Table I.
Longitudinal 1 Tip,
1 Solution H 0, ΙΟΙΟ" ΙΟΙΟ2
4
4
4 4
a
Tu
buffer Μ Μη (H 0) + M P C - M n (H 0) M PC-Mn-Py M PC-Mn-Oxalate 2
6
2
2
3
Sec
Sec-
Sec-
3.0 0.9 0.27 0.6 >2.0
0.3 1.1 3.7 1.7 3.1 3.4 ± 3.4 ±
5
3.5 =fc 0.2
Mn-F Mn F Mn HC Mn HC Mn HC (imidazole) Mn- - -HC (imidazole) 2
5
0.2* 0.8*
d
From Crystall ography, ο A 2.08 - 2.15 3.0, 4.2 3.27 3.24 3.27 6
C
e
0.2 0.2
d d
rf
e
e
3.24
e
Ref. 2,3. Ref. 46. A. Perloff, personal communication (CaOsPF). Ref. 39. Ref. 44 and 45 (Zn-histidine).
Dessy et al.; Bioinorganic Chemistry Advances in Chemistry; American Chemical Society: Washington, DC, 1971.
18.
MILD VAN
Enolization
Enolization and Elimination Reactions
and Elimination
397
Reactions
The mechanisms of enolization and elimination reactions, when generalized, are closely related.
enolization
elimination (3)
In both reactions, a proton is removed from a carbon atom (Cp) by a base, a double bond is formed, and an electron pair shifts from a carbon atom ( C ) to a basic (electronegative) atom. Elimination reactions have been more finely subdivided (17) depending on whether the atom removed initially is the proton (carbanion or E 1 C B mechanism), the base (carbonium ion or E - l mechanism), or both (concerted or E-2 mechanism). The mode of activation of enzyme-catalyzed enolization and elimination reactions by metals w i l l be classified according to the site on the substrate which is coordinated by the metal. a
a
Activation
In ternary enzyme-metal-substrate bridge complexes, metals might activate enolization and elimination reactions by coordination of the electronegative atom ( X ) attached to the a carbon atom ("a activation").
(4)
Pyruvate
Carboxylase
a Activation of pyruvate occurs with the enzyme pyruvate carboxylase which catalyzes the deprotonation (and carboxylation) of this substrate.
Dessy et al.; Bioinorganic Chemistry Advances in Chemistry; American Chemical Society: Washington, DC, 1971.
398
BIOINORGANIC CHEMISTRY
C H — C — C ^TT
~
2
ί
0 —
0
(5)
M n — Enz
The over-all reaction catalyzed by this manganese metallo-biotin enzyme (JO, 11) takes place i n two steps (18): E-Biotin + H C 0
3
Acetyl C o A
+ ATP
M + 2
E - B i o t i n - C 0 + A D P + P , (6) 2
E - B i o t i n + Pyruvate
E - B i o t i n + Oxalacetate
(7)
The substrates of step 1 do not interact with the enzyme-bound manga nese, as shown by the fact that they do not lower the enhanced effect of M n on the relaxation rate of water (10, 11). The substrates of step 2 (pyruvate, oxalacetate, and α-ketobutyrate) are coordinated by the en zyme-bound M n , as demonstrated indirectly b y decreases i n the water relaxation rates (Table I ) (10,11) and directly by enhancements of the relaxation rates of the carbon-bound protons of these substrates (Table RF
POWER OF
AT
ONSET
SATURATION
RF Power at Onset of Saturation (microwatts)
(microwatts)
25 mM
Tris Pyruvate
50 mM K* Oxalacetate
+ 93uM MnClj • Pyruvate Carboxylase (36/JM Mn)
31.4
+ Pyruvate Carboxylase + P.C. (0.019 mM Mn)
+ P C . (0.019 mM Mn) • I mM Na
Oxolate
X
(36»MK*Mn + 4.4mM O)xalate
\JA< \T
~
3
6
-5cps
Biochemistry
Figure 2. Effect of inorganic Mn and pyruvate carboxylase Mn on the proton NMR spectra of (A) pyruvate (Ref. 15) and (B) oxalacetate (Ref. 19) 2+
2+
Dessy et al.; Bioinorganic Chemistry Advances in Chemistry; American Chemical Society: Washington, DC, 1971.
18.
399
Enolization and Elimination Reactions
MILDVAN
II, Figure 2) (15, 19). The temperature dependencies of the relaxation rates of the methyl protons of pyruvate have been fit by an exchange contribution (l/r ), & TIM contribution, and an upper limit for T^u* from which the kinetics of pyruvate binding and dissociation (see Table V ) (Figure 3 ) , the Mn-to-methyl distances (Figure 1), and a lower limit to the Mn-to-methyl coupling constant (Table I V ) have been evaluated. M
A
A i
V
-TAS(25»)
PC-ΜηθφΐΟΑΑ
PC-Mn(oq) Pyruvott REACTION COORDINATE
Figure 3. Energy diagrams for the formation of the pyruvate carboxylaseMn-pyruvate and -oxalacetate bridge complexes based on the mechanism of Equation 8 (from Ref. 19) Table IV.
Hyperfine Coupling Constants (A/h) in E—M—S Complexes Complex
Pyruvate carboxylase-Mnpyruvate Pyruvate carboxylase-Mnoxalacetate Pyruvate carboxylase-Mn-aketobutyrate
Interaction
Log (A/h), Cps
Μ η · · • · H C - 3 >5.1
15,16
Μη·· • · -HC-3
4.6-5.1
19
Μη·· • · -HC-3 Μη·· • · H C 4
4.9-5.4 4.8-5.3
15,16
Aldolase-Mn-DHAP
Μ η · · • · H C - 1 4.7-5.2 Μ η · · • · - H C - 3 > 4.8-5.3 Μ η · · • · H C 1 > 4.4-4.9
Xylose isomerase-Mn-oc-D-xylose
Μη· · • · H C - 1 >5.3
Aldolase-Mn-acetol phosphate
Réf.
Histidine deaminase-Mn-imidazole Μ η · · • · - H C - 4 >5.2 Histidine deaminase-Mn-urocanate Μ η · · • · - H C - 4 >5.1
Dessy et al.; Bioinorganic Chemistry Advances in Chemistry; American Chemical Society: Washington, DC, 1971.
22
7,30,31 39
400
BIOINORGANIC CHEMISTRY
Table V .
Kinetic Parameters of Log (k ), Sec 0//
Complex
1
4.32 4.11 4.0
Pyruvate carboxylase-Mn-pyruvate Pyruvate carboxylase-Mn-oxalacetate Pyruvate carboxylase-Mn-a-ketobutyrate Aldolase-Mn-acetol phosphate Aldolase-Mn-DHAP Aldolase-Mn-FDP
>3.76 >3.58 4.79
Xylose isomerase-Mn-a-D-xylose
>4.63
Histidine deaminase-Mn-imidazole Histidine deaminase-Mn-urocanate
>4.72 >4.49
The rate constants are defined by the following equation: kon E-Mn(H 0) + L *± E-Mn-L + H 0 and by Equation 8 in the text. kotî Adjusted to the same conditions as used for the determination of kz,*-
α
2
6
2
32°C. 27°C.
C d
The coupling constant is inconsistent with carboxyl coordination but consistent with carbonyl coordination (15). Similar data for a-ketobutyrate ( 15) and oxalacetate (19) have been fit by exchange contributions ( 1 / T M ) and inner sphere contributions (T and T M). The rates of formation of these metal bridge complexes from an outer sphere complex (fc , ) are limited predominantly b y the rate of dissociation of a water molecule from the coordination sphere of the enzyme-bound manganese (Figure 3, Table V ) ( 15,19), as required by the S#l-outer sphere mechanism of Eigen and Tamm (20), 1M
3
2
4
E-Mn(H 0) + S 2
Fast 5.83< 7.79"
>4.94 >4.23 5.19
5.23 5.23 5.15
22
>7.29
>7.29
>5.77
7,30,31
>6.18 >7.19
>6.18 >6.71
>6.33 >6.33
39
Journal of Biological Chemistry
Figure 4.
Mechanism of the pyruvate carboxylase reaction (from Ref. 11 and 15)
Dessy et al.; Bioinorganic Chemistry Advances in Chemistry; American Chemical Society: Washington, DC, 1971.
402
BIOINORGANIC CHEMISTRY
Yeast Aldolase Another example of a activation of enolization of the substrate, dihydroxyacetone phosphate ( D H A P ) , occurs with yeast aldolase (22), a Z n metalloenzyme in which the Z n may be removed and replaced by M n (23).
-B0
--- H HOCH
rll
•CH
I
* ο
2
-o-
ο
(9)
\M n : ^Enz
The enolate of the substrate then condenses with 3-phosphoglyceraldehyde ( G - 3 - P ) to form fructose-1,6-diphosphate ( F D P ) . The over-all reaction is therefore: ο
CH,—Ο—Ρ—Ο" CH — Ο — Ρ — 0 2
C=0
+
Ο-
I
c=o
Η—C=0
H—C—OH 0 I
CH OH
II
CH 0—P-O°"
2
^
A l d o l a s e
^
0
I
HO—C—H I
H— C —OH H—C—OH
2
I
II
CH — O 2
DHAP
+
FDP
G—3—Ρ
o P—Oo-
The enzyme also catalyzes the exchange of a proton from the solvent into the C-3 position of D H A P and of acetol phosphate (24, 25). Ο Ç H — 0 — Ρ—O I I C = 0 0 I HCHOH
0
2
+
Η* 0 2
Aldolase .
C H — Ο — Ρ—Ο | | C = 0 Ο ι H*CH0H 2
Ν
Dessy et al.; Bioinorganic Chemistry Advances in Chemistry; American Chemical Society: Washington, DC, 1971.
(
Π
)
18.
II
II
CH —Ο — Ρ — 0 I I C = 0 0 + 2
I
HCH
403
Enolization and Elimination Reactions
MILDVAN
H* 0 2
Aldolase ν
CH — Ο — Ρ — Ο I I C = 0 ο 2
H*CH
2
( 1 2 )
I
2
As seen from the data in Table II, the enzyme enhances the effect of bound M n on the C-3 protons of acetol phosphate, indicating the forma tion of an enzyme-Mn-substrate bridge complex. However, the enzymebound M n has a smaller effect on the C - l protons, indicating that the presence of the enzyme alters the structure of the M n coordination com plexes. Thus, in the absence of enzyme, from distance calculations and from stability constants, inorganic M n forms a monodentate phosphate complex with acetol phosphate. 0
II CH —0 2
I
C=
0
Ρ—
I ο
Ο—Μη
(13)
I
CH
3
Monodentate phosphate coordination provides the only structure which can accommodate the fact that M n is 37% closer to the C - l protons than to the C-3 protons in the binary complexes. In contrast to inorganic M n , the enzyme-bound M n is equidistant from the C - l and C-3 protons in the ternary E - M n - a c e t o l phosphate complex (Figure 1), suggesting carbonyl coordination in addition to phosphoryl coordination. W h i l e the uncertainty in the absolute value of these distances in the ternary complexes is high (Figure 1), the error in the relative values of these distances is low ( ± 4 % ). Hence, it may be concluded that the enzyme has forced the M n to coordinate the carbonyl group at C-2 as well as the phosphate at C - l (Figure 1). The changes in the Mn-to-proton hyperfine coupling constants caused by the enzyme (Table I V ) are con sistent with this view. The exchange rates of D H A P and acetol phos phate into the coordination sphere of enzyme-bound M n are at least two orders of magnitude greater than the rate of catalysis. The dissociation constants of these E-Mn-substrate complexes, as determined by displace ment of the substrates in the N M R experiment by the competitive inhib itor arabinitol diphosphate, agree with their Michaelis constants. Hence, the kinetic and thermodynamic properties of these metal bridge com2 +
Dessy et al.; Bioinorganic Chemistry Advances in Chemistry; American Chemical Society: Washington, DC, 1971.
404
BIOINORGANIC CHEMISTRY
plexes are consistent with their participation i n catalysis. The results are consistent with an electrophilic role for the metal as proposed by Rutter (26). In addition, by coordinating the phosphate at C - l , the metal serves to orient the substrate (Figure 5 ) . In animal aldolases, no metal is found. Rather, a protonated Schiff base functions as the electrophile to facilitate deprotonation and enolization of the substrate (27) (Figure 5 C ) .
Figure 5. Structures and mechanisms in aldohse-Mn-substrate bridge complexes: A. acetol phosphate, B. dihydroxyacetone phosphate; Mech anism C is proposed for animal aldolases by anal ogy with A and Β (from Ref. 22)
Xylose Isomer use A third example of α activation occurs with D-xylose isomerase. The enzymes from lactobacillus (28) and streptomyces (29) require a d i valent cation for activity. Both enzymes form metal bridge complexes to the C - l hydroxyl group of a-D-xylose by the N M R method since these enzymes enhance the effect of M n on the relaxation rates of the C - l proton of a-D-xylose (Table II) (7, 30, 31). The calculated Mn -to-proton dis tances (Figure 1) and coupling constants (Table I V ) are consistent with the following structure. 2+
Dessy et al.; Bioinorganic Chemistry Advances in Chemistry; American Chemical Society: Washington, DC, 1971.
18.
405
Enolization and Elimination Reactions
MILDVAN
(14)
HO
After ring opening, the resulting aldose would enolize to form a cis-enediol intermediate (32) and the metal would provide a activation of this process.
Β
OH
H CH OH
C-
2
/ OH
/ H
ΗI
Η
/
—C / OH
(15)
C
^9 •Μη
—
Εηζ
The proton which has been removed from C-2 to form the cts-enediol is conserved (7, 30, 31, 32) and transferred to C - l from the same side of the double bond to form D-xylulose of the proper stereochemistry (32).
Β
H CH OH2
OH Η
-C— c - c = c ' OH H ( Ç - H V
Mn
(16)
OH Enz
Dessy et al.; Bioinorganic Chemistry Advances in Chemistry; American Chemical Society: Washington, DC, 1971.
406
BIOINORGANIC CHEMISTRY
Closure of the furanose ring from above the plane of the carbonyl group to form α-D-xylulose would complete the reaction:
The thermodynamic and kinetic properties of the enzyme-Mn-a-D-xylose bridge complex (Table V ) detected in the N M R experiment are con sistent with its participation in the catalytic process. The inactive β anomer of D-xylose binds to the Mn-enzyme as detected by changes in the water relaxation rate but in a manner which differs in structure from that of the active ( a ) substrate since no effect is observed on the relaxa tion rates of the C - l proton of the β form (31). Hence, the enzyme selects the α-anomer of the substrate from the mutarotated mixture. β
Activation
As judged by organic model reactions, β activation (i.e., coordination of a group on the β carbon atom by a metal ) should be an effective means of promoting an enolization or an elimination reaction.
—
B ( p l -- H
Κ
1
-C-2-C.
il
Y
(18)
*x
\
Enz M —
Thus, the elimination of H B r from ethylene bromide is accelerated 200fold by an electrophilic B r on the β carbon atom (33). Unfortunately, no clearcut cases of β activation have been established in enzyme-catalyzed enolization or elimination reactions. Indirect evidence exists for β acti-
Dessy et al.; Bioinorganic Chemistry Advances in Chemistry; American Chemical Society: Washington, DC, 1971.
18.
MILD VAN
Enolization and Elimination Reactions
407
vation (in addition to a activation) in the xylose isomerase reaction as depicted in the above figures. Thus, α-D-glucose, an alternative substrate for xylose isomerase, de-enhances the effect of the xylose isomerase-Mn complex on the relaxation rate of water protons more than D-2-deoxyglucose does, suggesting that glucose might donate an additional ligand to the M n .
γ
Activation
The coordination of a metal ion to a basic group ( Y ) on the y carbon atom could activate an elimination reaction by an inductive effect ( σ elec tron withdrawal) -B:
I
Ή
- ο -
I
Ι
(19)
χ
Y M —
Enz
which would increase the acidity of the departing proton or by a reso nance effect (π electron withdrawal)
which would also stabilize the intermediate carbanion in an E 1 C B mech anism. The latter effect has been suggested, but not proven, for the metal-requiring elimination reaction catalyzed by β methyl aspartase (34 ).
Dessy et al.; Bioinorganic Chemistry Advances in Chemistry; American Chemical Society: Washington, DC, 1971.
408
Γ
BIOINORGANIC CHEMISTRY
r-BH
Β Θ - Ϊ - - Η
Ο
[Ο
fl
c=c—CH—c: U
\ Μ -
C H
3
N H
3
I
Ο \
x
/
+
C H
M -
I Enz I- - -
Λ
3
( N H
H-
|Enz|~"
s 3
ô /
(21)
A combination of a and y activation of the elimination of water from citrate by the enzyme-bound Fe * in aconitase has been proposed (35). 2
ο
\
(22) in
consistent with such a mechanism, an aconitase-Mn-citrate bridge com plex has been detected by N M R (36), but its detailed structure is not yet known. A similar combination of a and y activation
r &\ ο B
Η
I-
• CC -—
A
, C H
2
ATT
Ο.
(23)
OH
M
—
Enz
has been proposed for the enolase reaction (37). Indirect evidence from water relaxation rate data suggests the presence of enzyme-Mn-substrate and enzyme-Mn-inhibitor bridge complexes (8, 38), but their detailed structures remain to be elucidated.
Dessy et al.; Bioinorganic Chemistry Advances in Chemistry; American Chemical Society: Washington, DC, 1971.
18.
δ
409
Enolization and Elimination Reactions
MILD VAN
Activation
Activation of an elimination reaction by coordination at the δ carbon atom might be expected to be small, but might be amplified by inter vening double bonds.
Enz
—M
Y /
c — Cc
α
θ
(24)
\ ι» (I :
A n example of 8 activation has been established by the N M R method i n the metal-activated histidine deaminase reaction (39). -B:
Η C H - — C H -
Enz
—Mn — Ν
(25)
o-
» τ
N - H
This enzyme utilizes a divalent cation (40) and also an electrophilic group, probably an activated dehydroalanine residue (41) to catalyze the elimination of ammonia from histidine to form urocanate.
U 1
^
L
C
^
H ^ ! - C H — C — O -
r\ * N H
*
J
NH + + 4
I
l = J ^
c
_
f
c
I H
3
(26)
(
\JP C
oThe enzyme binds 2 M n * ions/mole with a dissociation constant which agrees with its kinetically determined activator constant. Chemical modi fication of the electrophilic group has no effect on the Mn-enzyme inter action. The enhanced effect of the E - M n complex on the relaxation rate 2
Dessy et al.; Bioinorganic Chemistry Advances in Chemistry; American Chemical Society: Washington, DC, 1971.
410
BIOINORGANIC CHEMISTRY
of water protons is greatly reduced by the substrate L-histidine, or by inhibitors (urocanate, imidazole, cysteine) which contain liganding groups at the γ or δ carbon atoms, suggesting coordination of imidazole by the enzyme-bound M n . Such coordination is established by the en hanced effect of the enzyme-bound M n on the relaxation rates of the protons of imidazole and of urocanate. Cysteine displaces imidazole and urocanate from their metal bridge complexes at a concentration con sistent with the inhibitor constants of these ligands determined kinetically. F r o m 1/Γ , the rate of dissociation of the product urocanate from the bridge complex is more than 600 times V (Table V ) , consistent with its role i n catalysis. The distances between the enzyme-bound M n and the protons of urocanate and imidazole (Figure 1) are consistent with direct coordination of N-3 of urocanate (imidazole) by the Μη (δ acti vation) or, alternatively, with the formation of a π complex between the imidazole ring and the bound Μη (γ and δ activation). A mechanism of the histidine deaminase reaction consistent with the chemical (41) and N M R data (39) is given i n Figure 6. The M n coordinates the i m i 2
m a x
Figure 6. Mechanism of the histidine deaminase reaction (from Ref. 39 and 41) dazole and the electrophilic center holds the leaving amino group of the substrate. The δ activation by the M n would increase the acidity of the departing proton primarily by an inductive effect. A resonance effect is also possible, -B-H
-BH - C H — (Γ Enz
-Mn-
NH
2
^CH-CH— Enz
—Mn
î/
\ y
N - H NH
ι
Dessy et al.; Bioinorganic Chemistry Advances in Chemistry; American Chemical Society: Washington, DC, 1971.
2
°~
(27)
18.
MILD VAN
Enolization and Elimination Reactions
411
as suggested b y x-ray crystallographic studies of histidine and its Zn complex. A l l of the C - C and C - N bond lengths in the imidazole ring of histidine are shorter than single bonds, indicating a large amount of double bond character (>2Â% ). Coordination of Zn to histidine produces small increases in the lengths of all of the bonds of the imidazole ligands (0.01-0.03 Â ) , suggesting small decreases in the double bond character (42,43,44,45). Another role of the M n in histidine deaminase may be to mask the nucleophilic imidazole of the substrate to prevent its attacking the electrophilic center of the enzyme.
Acknowledgment I am grateful to my collaborators, J. J. Villafranca, T . Nowak, M . C . Scrutton, R. D . Kobes, W . J. Rutter, K . Schray, I. A . Rose, I. Givot, and R. H . Abeles, whose work is described here. This project was supported in part by U.S. Public Health Service Grants AM-13351, AM-09760, G M 12246, CA-06927 and FR-05539, National Science Foundation Grant G B 8579, and an appropriation from the Commonwealth of Pennsylvania. This work was done during the tenure of an Established Investigatorship from the American Heart Association.
Literature Cited (1) Kotani, M., Morimoto, H., in "Magnetic Resonance in Biological Systems," A. Ehrenberg, B. Malmstrom, and T. Vanngard, Eds., p. 135, Pergamon, New York, 1967. (2) Mildvan, A. S., Cohn, M., Leigh, J. S., in "Magnetic Resonance in Biological Systems," A. Ehrenberg, B. Malmstrom, and T. Vanngard, Eds., p. 113, Pergamon, New York, 1967. (3) Mildvan, A. S., Leigh, J. S., Cohn, M., Biochemistry (1967) 6, 1805. (4) Barfield, M., Karplus, M., J. Am. Chem. Soc. (1969) 91, 1. (5) Mildvan, A. S., Cohn, M., Advan. Enzymol. (1970) 33, 1. (6) Mildvan, A. S., Rumen, Ν. M., Chance, B., Johnson Foundation Symp. Probes Macromolecular Struct. Function (1970) in press. (7) Mildvan, A. S., Abstr. Middle Atlantic Regional Mtg., ACS, April (1970) 22. (8) Cohn, M., Leigh, J. S., Nature (1962) 193, 1037. (9) Eisinger, J., Shulman, R. G., Szymanski, Β. M., J. Chem. Phys. (1962) 36, 1721. (10) Scrutton, M. C., Utter, M. F., Mildvan, A. S., J. Biol. Chem. (1966) 241, 3480. (11) Mildvan, A. S., Scrutton, M. C., Utter, M. F., J. Biol. Chem. (1966) 241, 3488. (12) Mildvan, A. S., Cohn, M., Biochemistry (1963) 2, 910. (13) Mildvan, A. S., Cohn, M., J. Biol. Chem. (1965) 240, 238. (14) Mildvan, A. S., Cohn, M., J. Biol. Chem. (1966) 241, 1178. (15) Mildvan, A. S., Scrutton, M. C., Biochemistry (1967) 6, 2978.
Dessy et al.; Bioinorganic Chemistry Advances in Chemistry; American Chemical Society: Washington, DC, 1971.
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BIOINORGANIC
C H E M I S T R Y
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