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Toraya T, Tobimatsu T, Mori K, Yamanishi M, Shibata N. Coenzyme B 12-dependent eliminases: Diol and glycerol dehydratases and ethanolamine ammonia-lyase. Methods Enzymol 2022; 668:181-242. [PMID: 35589194 DOI: 10.1016/bs.mie.2021.11.027] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
Adenosylcobalamin (AdoCbl) or coenzyme B12-dependent enzymes catalyze intramolecular group-transfer reactions and ribonucleotide reduction in a wide variety of organisms from bacteria to animals. They use a super-reactive primary-carbon radical formed by the homolysis of the coenzyme's Co-C bond for catalysis and thus belong to the larger class of "radical enzymes." For understanding the general mechanisms of radical enzymes, it is of great importance to establish the general mechanism of AdoCbl-dependent catalysis using enzymes that catalyze the simplest reactions-such as diol dehydratase, glycerol dehydratase and ethanolamine ammonia-lyase. These enzymes are often called "eliminases." We have studied AdoCbl and eliminases for more than a half century. Progress has always been driven by the development of new experimental methodologies. In this chapter, we describe our investigations on these enzymes, including their metabolic roles, gene cloning, preparation, characterization, activity assays, and mechanistic studies, that have been conducted using a wide range of biochemical and structural methodologies we have developed.
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Affiliation(s)
- Tetsuo Toraya
- Graduate School of Natural Science and Technology, Okayama University, Tsushima-naka, Kita-ku, Okayama, Japan.
| | - Takamasa Tobimatsu
- Graduate School of Natural Science and Technology, Okayama University, Tsushima-naka, Kita-ku, Okayama, Japan
| | - Koichi Mori
- Graduate School of Natural Science and Technology, Okayama University, Tsushima-naka, Kita-ku, Okayama, Japan
| | - Mamoru Yamanishi
- Graduate School of Natural Science and Technology, Okayama University, Tsushima-naka, Kita-ku, Okayama, Japan
| | - Naoki Shibata
- Graduate School of Life Science, University of Hyogo, 3-2-1 Koto, Kamigori-cho, Ako-gun, Hyogo, Japan
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Hassan S, Jackowska A, Gryko D. Truncated vitamin B12 derivative with the phosphate group retained. J PORPHYR PHTHALOCYA 2019. [DOI: 10.1142/s1088424619500421] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
Cobyric acid and cobinamide are valuable building blocks for the synthesis of artificial cobalamins modified at the nucleotide loop. However, truncated vitamin B[Formula: see text] derivatives are devoid of the phosphate group. We have found that 2-iodoxy benzoic acid-mediated phosphorolysis leads to the cleavage of only one of the phosphodiester bond giving a vitamin B[Formula: see text] analogue with the phosphate moiety preserved. Subsequent alkylation with an organic halide establishes its role as a precursor for the synthesis of vitamin B[Formula: see text] mimics modified at the nucleotide loop.
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Affiliation(s)
- Sidra Hassan
- Institute of Organic Chemistry Polish Academy of Sciences, Kasprzaka 44/52, 01-224 Warsaw, Poland
| | - Agnieszka Jackowska
- Institute of Organic Chemistry Polish Academy of Sciences, Kasprzaka 44/52, 01-224 Warsaw, Poland
| | - Dorota Gryko
- Institute of Organic Chemistry Polish Academy of Sciences, Kasprzaka 44/52, 01-224 Warsaw, Poland
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Cobalamin-dependent dehydratases and a deaminase: Radical catalysis and reactivating chaperones. Arch Biochem Biophys 2014; 544:40-57. [DOI: 10.1016/j.abb.2013.11.002] [Citation(s) in RCA: 52] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/08/2013] [Revised: 11/04/2013] [Accepted: 11/08/2013] [Indexed: 01/12/2023]
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Zelder F, Zhou K, Sonnay M. Peptide B12: emerging trends at the interface of inorganic chemistry, chemical biology and medicine. Dalton Trans 2013; 42:854-62. [PMID: 23160417 DOI: 10.1039/c2dt32005c] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022]
Abstract
The sophisticated and efficient delivery of vitamin B(12) ("B(12)") into cells offers promise for B(12)-bioconjugates in medicinal diagnosis and therapy. It is therefore surprising that rather little attention is presently paid to an alternative strategy in drug design: the development of structurally perfect, but catalytically inactive semi-artificial B(12) surrogates. Vitamin B(12) cofactors catalyse important biological transformations and are indispensible for humans and most other forms of life. This strong metabolic dependency exhibits enormous medicinal opportunities. Inhibitors of B(12) dependent enzymes are potential suppressors of fast proliferating cancer cells. This perspective article focuses on the design and study of backbone modified B(12) derivatives, particularly on peptide B(12) derivatives. Peptide B(12) is a recently introduced class of biomimetic cobalamins bearing an artificial peptide backbone with adjustable coordination and redox-properties. Pioneering biological studies demonstrated reduced catalytic activity, combined with inhibitory potential that is encouraging for future efforts in turning natural cofactors into new anti-proliferative agents.
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Affiliation(s)
- Felix Zelder
- Institute of Inorganic Chemistry, University of Zürich, Winterthurerstrasse 190, 8057 Zürich, Switzerland.
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Ogura KI, Kunita SI, Mori K, Tobimatsu T, Toraya T. Roles of adenine anchoring and ion pairing at the coenzyme B12-binding site in diol dehydratase catalysis. FEBS J 2008; 275:6204-16. [DOI: 10.1111/j.1742-4658.2008.06745.x] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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Brown KL, Zou X, Chen G, Xia Z, Marques HM. Solution structure, enzymatic, and non-enzymatic reactivity of 3-isoadenosylcobalamin, a structural isomer of coenzyme B12 with surprising coenzymic activity. J Inorg Biochem 2004; 98:287-300. [PMID: 14729309 DOI: 10.1016/j.jinorgbio.2003.10.016] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
Abstract
The coenzymic activity of eight analogs of coenzyme B(12) (5'-deoxyadenosyl-cobalamin, AdoCbl) with structural alterations in the Ado ligand has been investigated with the AdoCbl-dependent ribonucleoside triphosphate reductase (RTPR) from Lactobacillus leichmannii. Six of the analogs were partially active coenzymes, and one, 3-iso-5'-deoxyadenosylcobalamin (3-IsoAdoCbl) was nearly as active as AdoCbl itself. NMR-restrained molecular modeling of 3-IsoAdoCbl revealed a highly conformationally mobile structure which required a four state model to be consistent with the NMR data. Thus, two conformations, one with the IsoAdo ligand over the eastern quadrant of the corrin, and one with the IsoAdo ligand over the northern quadrant, each undergo a facile syn/anti conformational equilibrium in the IsoAdo ligand. Spectrophotometric measurement of the kinetics of RTPR-induced cleavage of the carbon-cobalt bond of 3-IsoAdoCbl showed that it binds to the enzyme with the same affinity as AdoCbl, but its homolysis is only 20% as rapid. Investigation of the non-enzymatic thermolysis of 3-IsoAdoCbl showed that like AdoCbl, 3-IsoAdoCbl decomposes by competing homolytic and heterolytic pathways. A complete temperature-dependent kinetic and product analysis, followed by correction for the base-off species permitted deconvolution of the specific rate constant for both pathways. Eyring plots for the homolysis and heterolysis rate constant cross at 93 degrees C, so that homolysis is the predominant pathway at high temperature, but heterolysis is the predominant pathway at low temperature. At 37 degrees C, the homolysis of 3-IsoAdoCbl is 5.5-fold faster than that of AdoCbl, and the enzyme catalyzes carbon-cobalt bond homolysis in 3-IsoAdoCbl by a factor of 5.9 x 10(7), only 3.9% of the catalytic efficiency with AdoCbl itself. It seems likely that the conformational flexibility of 3-IsoAdoCbl allows it to adopt a coformation in which the hydrogen bonding patterns of the adenine moiety are similar to those of AdoCbl itself, and that this is responsible for the high enzymatic activity of this analog.
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Affiliation(s)
- Kenneth L Brown
- Department of Chemistry and Biochemistry, Clippinger Laboratories, Ohio University, Athens, OH 45701, USA.
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Toraya T. Radical catalysis in coenzyme B12-dependent isomerization (eliminating) reactions. Chem Rev 2003; 103:2095-127. [PMID: 12797825 DOI: 10.1021/cr020428b] [Citation(s) in RCA: 312] [Impact Index Per Article: 14.9] [Reference Citation Analysis] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Tetsuo Toraya
- Department of Bioscience and Biotechnology, Faculty of Engineering, Okayama University, Tsushima-naka, Okayama 700-8530, Japan.
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Abstract
A peculiar function resides in a peculiar structure. Coenzyme B(12) or adenosylcobalamin, a naturally occurring organometallic compound, serves as a cofactor for enzymatic radical reactions. How do the enzymes form catalytic radicals at the active sites? How do the enzymes utilize and control the high reactivity of the radicals for catalysis? Recently, three-dimensional structures of several radical-containing or radical-forming enzymes including B(12) enzymes have been reported, enabling the analysis of the fine mechanisms of the action of these interesting enzymes. Our biochemical, mutational, and crystallographic studies as well as theoretical calculations on diol dehydratase, an adenosylcobalamin-dependent enzyme, revealed that its structure is adapted for its function-that is, activation of the Cobond;C bond toward homolysis, abstraction of a specific hydrogen atom from the substrate and its recombination to a particular product, and transition state stabilization in the hydroxyl group migration of a substrate-derived radical. The functions of K(+) and the active-site amino acid residues in enzyme catalysis are also investigated. Based on the results, the fine mechanism of the enzyme and the energetic feasibility of enzymatic radical catalysis are described here.
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Affiliation(s)
- Tetsuo Toraya
- Department of Bioscience and Biotechnology, Faculty of Engineering; Okayama University, Tsushima-naka, Okayama 700-8530, Japan.
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Hamza MSA, Zou X, Brown KL, van Eldik R. Kinetic and thermodynamic studies on the cyanation reactions and base-on/base-off equilibria of alkyl-13-epicobalamins. Dalton Trans 2003. [DOI: 10.1039/b304069k] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Brown KL, Zou X, Li J, Chen G. Enzymatic activity of coenzyme B(12) derivatives with altered axial nucleotides: probing the mechanochemical triggering hypothesis in ribonucleotide reductase. Inorg Chem 2001; 40:5942-7. [PMID: 11681909 DOI: 10.1021/ic010796i] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
Theoretical studies (J. Inorg. Biochem. 2001, 83, 121) of the involvement of the bulky 5,6-dimethylbenzimidazole (Dmbz) ligand of coenzyme B(12) (5'-deoxyadenosylcobalamin, AdoCbl) in the mechanism of activation of the carbon-cobalt bond of the coenzyme for homolytic cleavage by AdoCbl-dependent enzymes (the "mechanochemical triggering" mechanisms) have shown that a purely steric, ground-state mechanism can supply only a few kilocalories per mole (of the observed 13-16 kcal mol(-1)) of activation, but that an electronic mechanism, operating to stabilize the transition state, can explain all of the observed catalytic effect. To address these mechanisms experimentally, analogues of AdoCbl in which the Dmbz ligand is replaced by benzimidazole (Ado(Bzim)Cbl) or by imidazole (Ado(Im)Cbl) have been prepared and characterized. Both of these analogues support turnover in the AdoCbl-dependent ribonucleoside triphosphate reductase (RTPR) from Lactobacillus leichmannii at 100% of the activity of AdoCbl itself, but the Ado(Im)Cbl analogue has a significantly higher K(m). 5'-Deoxyadenosylcobinamide, the analogue in which the axial nucleotide has been chemically removed, in contrast, is inactive in the spectrophotometric assay, which indicates that it has at most 1% of the activity of AdoCbl. Stopped-flow spectrophotometric measurements of the formation of cob(II)alamin at the enzyme active site show that RTPR binds Ado(Bzim)Cbl slightly more weakly than it does AdoCbl, but binds Ado(Im)Cbl 8-fold more weakly. While the equilibrium constant for cob(II)alamin formation is nearly the same for Ado(Bzim)Cbl and AdoCbl, it is 5-fold smaller for Ado(Im)Cbl. Finally, the forward rate constant for enzyme-induced Co-C bond homolysis was about the same for Ado(Bzim)Cbl and for AdoCbl but was 17-fold smaller for Ado(Im)Cbl. These results are consistent with a small contribution from ground-state mechanochemical triggering, but they do not in themselves rule out transition-state mechanical triggering.
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Affiliation(s)
- K L Brown
- Department of Chemistry and Biochemistry, Ohio University, Athens, Ohio 45701, USA.
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Cheong CG, Escalante-Semerena JC, Rayment I. Structural investigation of the biosynthesis of alternative lower ligands for cobamides by nicotinate mononucleotide: 5,6-dimethylbenzimidazole phosphoribosyltransferase from Salmonella enterica. J Biol Chem 2001; 276:37612-20. [PMID: 11441022 DOI: 10.1074/jbc.m105390200] [Citation(s) in RCA: 37] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022] Open
Abstract
Nicotinate mononucleotide (NaMN):5,6-dimethylbenzimidazole phosphoribosyltransferase (CobT) from Salmonella enterica plays a central role in the synthesis of alpha-ribazole, a key component of the lower ligand of cobalamin. Surprisingly, CobT can phosphoribosylate a wide range of aromatic substrates, giving rise to a wide variety of lower ligands in cobamides. To understand the molecular basis for this lack of substrate specificity, the x-ray structures of CobT complexed with adenine, 5-methylbenzimidazole, 5-methoxybenzimidazole, p-cresol, and phenol were determined. Furthermore, adenine, 5-methylbenzimidazole, 5-methoxybenzimidazole, and 2-hydroxypurine were observed to react with NaMN within the crystal lattice and undergo the phosphoribosyl transfer reaction to form product. Significantly, the stereochemistries of all products are identical to those found in vivo. Interestingly, p-cresol and phenol, which are the lower ligand in Sporomusa ovata, bound to CobT but did not react with NaMN. This study provides a structural explanation for how CobT can phosphoribosylate most of the commonly observed lower ligands found in cobamides with the exception of the phenolic lower ligands observed in S. ovata. This is accomplished with minor conformational changes in the side chains that constitute the 5,6-dimethylbenzimidazole binding site. These investigations are consistent with the implication that the nature of the lower ligand is controlled by metabolic factors rather by the specificity of the phosphoribosyltransferase.
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Affiliation(s)
- C G Cheong
- Department of Biochemistry, University of Wisconsin, Madison, Wisconsin 53706, USA
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Affiliation(s)
- E N Marsh
- Department of Chemistry, University of Michigan, Ann Arbor, MI 48109, USA
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Brown KL, Marques HM. Molecular modeling of the mechanochemical triggering mechanism for catalysis of carbon-cobalt bond homolysis in coenzyme B12. J Inorg Biochem 2001; 83:121-32. [PMID: 11237251 DOI: 10.1016/s0162-0134(00)00188-4] [Citation(s) in RCA: 33] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
Abstract
The possible contributions of the mechanochemical triggering effect to the enzymatic activation of the carbon-cobalt bond of coenzyme B12 (5'-deoxyadenosylcobalamin, AdoCbl) for homolytic cleavage have been studied by molecular modeling and semiempirical molecular orbital calculations. Classically, this effect has envisioned enzymatic compression of the axial Co-N bond in the ground state to cause upward folding of the corrin ring and subsequent sterically induced distortion of the Co-C bond leading to its destabilization. The models of this process show that in both methylcobalamin (CH3Cbl) and AdoCbl, compression of the axial Co-N bond does engender upward folding of the corrin ring, and that the extent of such upward folding is smaller in an analog in which the normal 5,6-dimethylbenzimidazole axial ligand is replaced by the sterically smaller ligand, imidazole (CH3(lm)Cbl and Ado(lm)Cbl). Furthermore, in AdoCbl, this upward folding of the corrin is accompanied by increases in the carbon-cobalt bond length and in the Co-C-C bond angle (which are also less pronounced in Ado(Im)Cbl), and which indicate that the Co-C bond is indeed destabilized by this mechanism. However, these effects on the Co-C bond are small, and destabilization of this bond by this mechanism is unlikely to contribute more than ca. 3 kcal mol(-1) towards the enzymatic catalysis of Co-C bond homolysis, far short of the observed ca. 14 kcal mol(-1). A second version of mechanochemical triggering, in which compression of the axial Co-N bond in the transition state for Co-C bond homolysis stabilizes the transition state by increased Co-N orbital overlap, has also been investigated. Stretching the Co-C bond to simulate the approach to the transition state was found to result in an upward folding of the corrin ring, a slight decrease in the axial Co-N bond length, a slight displacement of the metal atom from the plane of the equatorial nitrogens towards the "lower" axial ligand, and a decrease in strain energy amounting to about 8 kcal mol(-1) for both AdoCbl and Ado(Im)Cbl. In such modeled transition states, compression of the axial Co-N bond to just below 2.0 A (the distance subsequently found to provide maximal stabilization of the transition state by increased orbital overlap) required about 4 kcal mol(-1) for AdoCbl, and about 2.5 kcal mol(-1) for Ado(Im)Cbl. ZINDO/1 calculations on slightly simplified structures showed that maximal electronic stabilization of the transition state by about 10 kcal mol(-1) occurred at an axial Co-N bond distance of 1.96 A for both AdoCbl and Ado(Im)Cbl. The net result is that this type of transition state mechanochemical triggering can provide 14 kcal mol(-1) of transition state stabilization for AdoCbl, and about 15.5 kcal mol(-1) for the Ado(Im)Cbl, enough to completely explain the observed enzymatic catalysis. These results are discussed in the light of current knowledge about class I AdoCbl-dependent enzymes, in which the coenzyme is bound in its "base-off" conformation, with the lower axial ligand position occupied by the imidazole moiety of an active site histidine residue, and the class II enzymes, in which AdoCbl binds to the enzyme in its "base-on" conformation, and the pendent 5,6-dimethylbenzimidazole base remains coordinated to the metal during Co-C bond activation.
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Affiliation(s)
- K L Brown
- Department of Chemistry and Biochemistry, Ohio University, Athens 45701-2979, USA.
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Yamanishi M, Yamada S, Muguruma H, Murakami Y, Tobimatsu T, Ishida A, Yamauchi J, Toraya T. Evidence for axial coordination of 5,6-dimethylbenzimidazole to the cobalt atom of adenosylcobalamin bound to diol dehydratase. Biochemistry 1998; 37:4799-803. [PMID: 9537996 DOI: 10.1021/bi972572a] [Citation(s) in RCA: 59] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/07/2023]
Abstract
It was demonstrated by electron paramagnetic resonance (EPR) spectroscopy that organic radical intermediates disappeared and cob(II)alamin accumulated upon suicide inactivation of diol dehydratase by 2-methyl-1,2-propanediol. The resulting EPR spectra showed that the eight hyperfine lines due to the divalent cobalt atom of cob(II)alamin further split into triplets by the superhyperfine coupling to the 14N nucleus. Essentially the same superhyperfine splitting of the octet into triplets was observed with [14N]- and [15N]apoenzyme. When the adenosyl form of [14N2]- and [15N2]imidazolyl analogues of the coenzyme [Toraya, T., and Ishida, A. (1991) J. Biol. Chem. 266, 5430-5437] was used with unlabeled apoenzyme, the octet showed superhyperfine splitting into triplets and doublets, respectively. Therefore, it was concluded that cobalamin is bound to this enzyme with 5,6-dimethylbenzimidazole coordinating to the cobalt atom. This conclusion is consistent with the fact that the consensus sequence forming part of a cobalamin-binding motif, conserved in methionine synthase and some of the other cobalamin enzymes, was not found in the deduced amino acid sequences of the subunits of diol dehydratase. Adenosylcobinamide methyl phosphate, a coenzyme analogue lacking the nucleotide moiety, underwent cleavage of the cobalt-carbon bond upon binding to the enzyme in the presence of substrate, forming a cob(II)inamide derivative without nitrogenous base coordination, as judged by EPR and optical spectroscopy. Therefore, this analogue may be a useful probe for determining whether the replacement of the 5, 6-dimethylbenzimidazole ligand by a histidine residue takes place upon binding of cobalamin to proteins.
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Affiliation(s)
- M Yamanishi
- Department of Bioscience and Biotechnology, Faculty of Engineering, Okayama University, Tsushima-Naka, Okayama 700, Japan
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Brown KL, Cheng S, Marques HM. Conformational studies of 5′-deoxyadenosyl-13-epicobalamin, a coenzymatically active structural analog of coenzyme B12. Polyhedron 1998. [DOI: 10.1016/s0277-5387(98)00053-9] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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Toraya T, Yamanishi M, Muguruma H, Ushio K, Yamauchi J, Kawamura T. An electron paramagnetic resonance study on the mechanism-based inactivation of adenosylcobalamin-dependent diol dehydrase by glycerol and other substrates. BIOCHIMICA ET BIOPHYSICA ACTA 1997; 1337:11-6. [PMID: 9003432 DOI: 10.1016/s0167-4838(96)00143-4] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/03/2023]
Abstract
Adenosylcobalamin-dependent diol dehydrase undergoes mechanism-based inactivation by glycerol or other substrates during catalysis. X-band electron paramagnetic resonance spectra of holoenzyme were measured at -130 degrees C after reaction with such substrates. After short time of incubation, broad signals assigned to low-spin Co(II) of cob(II)alamin and doublet signals assigned to an organic radical intermediate derived from each substrate were observed with 1,2-propanediol, 1,2-ethanediol, glycerol and meso-2,3-butanediol with the magnitude of their exchange interaction (J-value) decreasing in this order. A substrate with the smaller magnitude of exchange interaction between low-spin Co(II) and an organic radical intermediate seems to be an efficient mechanism-based inactivator. Since the magnitude of exchange interaction decreases with the distance between radical species in a radical pair, these results suggest that a stabilizing effect of holoenzyme on radical intermediates during reactions decreases with the distance between Co(II) and a radical.
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Affiliation(s)
- T Toraya
- Faculty of Engineering, Okayama University, Japan.
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