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1.
Metallochaperones are soluble proteins involved in metal transport and regulation in vivo. Copper metallochaperones belong to a structural family of metal binding domains displaying a ferredoxin-like fold (betaalphabetabetaalphabeta) and a consensus metal-binding motif MXCXXC. The metal-binding selectivities for this class of proteins are poorly documented so far. The present study focuses on the measurement of the selectivity of the copper metallochaperone CopZ from Enterococcus hirae for different metal ions using an experimental approach based on electrospray ionization mass spectrometry (ESI-MS). All the metal cations tested, i.e. Cu(I), Cu(II), Hg(II), Cd(II) and Co(II), form specific metal complexes with CopZ. The study of a chemically modified CopZ as well as variants of CopZ in the active site demonstrated that the complexes observed by ESI-MS, i.e. in the gas phase, corresponded to the complexes previously observed by other analytical methods in solution. Competition experiments allowed the classification of the metal ions by increasing affinities for CopZ as follows: Co < Cd < Hg < Cu. A dissociation constant in the range of 20 microM was determined for cobalt. The affinity of CopZ for the other metals tested was found to be higher, with dissociation constants smaller than micromolar.  相似文献   

2.
Copper is trafficked to cellular destinations by homeostatic proteins that also prevent adverse reactivity of the metal. The copper metallochaperone HAH1 (human Atx1) binds Cu(I) via a CXXC motif on loop1/α1 of a βαββαβ ferredoxin-like structure. A similar fold constitutes each of the six metal-binding domains (MBDs) of the two P-type ATPases (Menkes and Wilson disease proteins), the destination for copper bound to HAH1. In this work we have investigated the influence of pH on copper trafficking between HAH1 and the first MBD of the Menkes protein (MNK1). Cu(I) affinities of 5.6 × 10(17) and 3.6 × 10(17) M(-1) have been determined at pH 7.0 for HAH1 and MNK1, respectively, from competition titrations with the chromophoric Cu(I) ligand bathocuproine disulfonate. The mutation of Lys60 on loop5 of HAH1 to Ala (the corresponding residue is Phe67 in MNK1) results in a 3-fold lowering of the affinity for Cu(I) at pH 7.0. The Cu(I) affinity of WT HAH1 exhibits a different pH-dependence compared to MNK1 and Lys60Ala HAH1. This arises because the pK(a) of the second Cys ligand in the CXXC motif of HAH1 is 1.5 pH units lower due to stabilization of the thiolate via a hydrogen-bonding interaction with the side chain of Lys60. The thermodynamic gradient for Cu(I) transfer between HAH1 and MNK1 depends on pH. The decrease in the pK(a) of the Cys ligand in HAH1 can also influence the kinetics of Cu(I) transfer.  相似文献   

3.
The ubiquitous protein metallothionein (MT) has proven to be a major player not only in the homeostasis of Cu(I) and Zn(II), but also binds all the Group 11 and 12 metals. Metallothioneins are characterised by the presence of numerous cys-x-cys and cys-cys motifs in the sequence and are found naturally with either one domain or two, linked, metal-binding domains. The use of chains of these metal-thiolate domains offers the possibility of creating chemically tuneable and, therefore, chemically dependent electrochemical or photochemical surface modifiers or as nanomachinery with nanomechanical properties. In this work, the metal-binding properties of the Cd(4)-containing domain of alpha-rhMT1a assembled into chains of two and three concatenated domains, that is, "necklaces", have been studied by spectrometric techniques, and the interactions within the structures modelled and interpreted by using molecular dynamics. These chains are metallated with 4, 8 or 12 Cd(II) ions to the 11, 22, and 33 cysteinyl sulfur atoms in the alpha-rhMT1a, alphaalpha-rhMT1a, and alphaalphaalpha-rhMT1a proteins, respectively. The effect of pH on the folding of each protein was studied by ESI-MS and optical spectroscopy. MM3/MD simulations were carried out over a period of up to 500 ps by using force-field parameters based on the reported structural data. These calculations provide novel information about the motion of the clustered metallated, partially demetallated, and metal-free peptide chains, with special interest in the region of the metal-binding site. The MD energy/time trajectory conformations show for the first time the flexibility of the metal-sulfur clusters and the bound amino acid chains. We report unexpected and very different sizes for the metallated and demetallated proteins from the combination of experimental data, with molecular dynamics simulations.  相似文献   

4.
Due to the lipophilicity of the metal-ion receptor, previously reported Cu(I)-selective fluorescent probes form colloidal aggregates, as revealed by dynamic light scattering. To address this problem, we have developed a hydrophilic triarylpyrazoline-based fluorescent probe, CTAP-2, that dissolves directly in water and shows a rapid, reversible, and highly selective 65-fold fluorescence turn-on response to Cu(I) in aqueous solution. CTAP-2 proved to be sufficiently sensitive for direct in-gel detection of Cu(I) bound to the metallochaperone Atox1, demonstrating the potential for cation-selective fluorescent probes to serve as tools in metalloproteomics for identifying proteins with readily accessible metal-binding sites.  相似文献   

5.
The ability to image the concentration of transition metals in living cells in real time is important for further understanding of transition metal homeostasis and its involvement in diseases. The goal of this study was to develop a genetically encoded FRET-based sensor for copper(I) based on the copper-induced dimerization of two copper binding domains involved in human copper homeostasis, Atox1 and the fourth domain of ATP7B (WD4). A sensor has been constructed by linking these copper binding domains to donor and acceptor fluorescent protein domains. Energy transfer is observed in the presence of Cu(I), but the Cu(I)-bridged complex is easily disrupted by low molecular weight thiols such as DTT and glutathione. To our surprise, energy transfer is also observed in the presence of very low concentrations of Zn(II) (10(-)(10) M), even in the presence of DTT. Zn(II) is able to form a stable complex by binding to the cysteines present in the conserved MXCXXC motif of the two copper binding domains. Co(II), Cd(II), and Pb(II) also induce an increase in FRET, but other, physiologically relevant metals are not able to mediate an interaction. The Zn(II) binding properties have been tuned by mutation of the copper-binding motif to the zinc-binding consensus sequence MDCXXC found in the zinc transporter ZntA. The present system allows the molecular mechanism of copper and zinc homeostasis to be studied under carefully controlled conditions in solution. It also provides an attractive platform for the further development of genetically encoded FRET-based sensors for Zn(II) and other transition metal ions.  相似文献   

6.
The Cu(II)- and Co(II)-binding properties of two peptides, designed on the basis of the active site sequence and structure of the blue copper protein plastocyanin, are explored. Peptide BCP-A, Ac-Trp-(Gly)(3)-Ser-Tyr-Cys-Ser-Pro-His-Gln-Gly-Ala-Gly-Met-(Gly )(3)-His-(Gly)(2)-Lys-CONH(2), conserves the Cu-binding loop of plastocyanin containing three of the four copper ligands and has a flexible (Gly)(3) linker to the second His ligand. Peptide BCP-B, Ac-Trp-(Gly)(3)-Cys-Gly-His-Gly-Val-Pro-Ser-His-Gly-Met-Gly-CONH(2), contains all four blue copper ligands, with two on either side of a beta-turn. Both peptides form 1:1 complexes with Cu(II) through His and Cys ligands. BCP-A, the ligand loop, binds to Cu(II) in a tetrahedrally distorted square plane with axial solvent ligation, while BCP-B-Cu(II) has no tetrahedral distortion in aqueous solution. In methanolic solution, distortion of the square plane is evident for both BCP-Cu(II) complexes. Tetrahedral Co(II) complexes are observed for both peptides in aqueous solution but with 4:2 peptide:Co(II) stoichiometries as estimated by ultracentrifugation. Cu(II) reduction potentials for the aqueous peptide-Cu(II) complexes were measured to be +75 +/- 30 mV vs NHE for BCP-A-Cu(II) and -10 +/- 20 mV vs NHE for BCP-B-Cu(II). The results indicate that the plastocyanin ligand loop can act as a metal-binding site with His and Cys ligands in the absence of the remainder of the folded protein but, by itself, cannot stabilize a type 1 copper site, emphasizing the role of the protein matrix in protecting the Cu binding site from solvent exposure and the Cys from oxidation.  相似文献   

7.
The metal binding properties of peptides corresponding to metal-binding sites spanning regions that normally function as linkers in tandem arrays of metal-binding domain-containing proteins were examined. For a peptide with two His residues from one TFIIIA-like zinc finger domain, a canonical TFIIIA-like linker, and two Cys residues from an adjacent zinc domain, the dissociation constant for the 1:1 peptide to cobalt(II) was found to be 15 +/- 10 microM, compared with 60 nM for the corresponding zinc finger domains themselves. Peptides overlapping two sets of metal-binding domains from human TRAF (tumor necrosis factor receptor-associated factor) proteins were examined. In one case, the affinity of the presumed metal-binding domain and that for the linker region were comparable, while in the second case, the affinity of the linker peptide was higher than that for the corresponding presumed metal-binding domain peptide. These studies revealed that cobalt(II) affinities in the micromolar range can occur even for peptides that do not correspond to natural zinc-binding domains and that the degree of distinction between authentic metal-binding domains and the corresponding linker-spanning peptides may be modest, at least for single domain peptide models.  相似文献   

8.
The copper binding site and electronic structure of the metallochaperone protein Atx1 were investigated using the combination of quantum mechanics methods and molecular mechanics methods in the ONIOM(QM:MM) scheme at the density functional theory (DFT) B3LYP/ 6-31G(d):AMBER level. The residues in the binding site, -Met13-Thr14-Cys15-Cu(I)-Cys18-Gly17-Ser16-, were modeled with QM and the rest of the residues with MM. Our results indicate that the structure for Cu(I)-Atx1 has the copper atom coordinated to two sulfur atoms from Cys15 (2.110 A) and Cys18 (2.141 A) with an angle S-Cu(I) -S of 166 degrees . The potential energy surface of the copper atom is used to estimate its binding energy and the force field for the copper ligands. The potential surface is shallow for the bending mode S-Cu-S, which explains the origin of the disorder observed in crystallographic and nuclear magnetic resonance studies. Using molecular dynamics for Cu(I)-Atx1 in a box of water molecules and in vacuum, with the force field derived in this work, we observed a correlated motion between the side chains of Thr14 and of Lys65 which enhances distortions in the S-Cu-S geometry. The results are compared with recent experiments and the previous models. The vibrational spectra for the copper ligands and for the residues in the binding site were computed. The localized modes for the copper ligands and the amide bands were assigned. The presence of the copper atom affects the amide bands' frequencies of the residues Cys15 and Cys18, giving resolved bands that can be used to sense changes in the binding site upon translocation of copper atom or interaction with target proteins. Furthermore, the EXAFS (extended X-ray absorption fine structure) spectrum of the proposed structure for Cu(I)-Atx1 was calculated and reproduced the experiments fairly well.  相似文献   

9.
Koay M  Zhang L  Yang B  Maher MJ  Xiao Z  Wedd AG 《Inorganic chemistry》2005,44(15):5203-5205
The CopC protein from Pseudomonas syringae pathovar tomato is expressed as one of four proteins encoded by the operon CopABCD that is responsible for copper resistance. It is a small soluble molecule (10.5 kDa) with a beta-barrel structure and features two distinct copper binding sites, which are highly specific for Cu(I) (K(D) > or = 10(-)(13)) and Cu(II) (K(D) approximately 10(-)(15)). These dissociation constants were estimated via ligand competition experiments monitored by electronic spectral and fluorescence probes. The chemistries of the two copper sites are interdependent. When the Cu(II) site is empty, the Cu(I) ion is oxidized by air, but when both sites are occupied, the molecule is stable in air. The availability of an unoccupied site of higher affinity induces intermolecular transfer of either Cu(I) or Cu(II) while maintaining free copper ion concentrations in solution at sub-picomolar levels. This intriguing copper chemistry is consistent with the proposed role of CopC as a copper carrier in the oxidizing periplasmic space. These properties would allow it to exchange either Cu(I) or Cu(II) with its putative partners CopA, CopB, and CopD, contrasting with the role of the Cu(I) (only) chaperones found in the reducing cytoplasm.  相似文献   

10.
11.
Bridging cysteine ligands of the Cu(A) center in an engineered Cu(A) azurin were replaced with serine, and the variants (Cys116Ser and Cys112Ser Cu(A) azurin) were characterized by mass spectrometry, as well as UV-vis and electron paramagnetic resonance (EPR) spectroscopic techniques. The replacements resulted in dramatically perturbed spectroscopic properties, indicating that the cysteines play a critical role in maintaining the structural integrity of the Cu center. The replacements at different cysteine residues resulted in different perturbations, even though the two cysteines are geometrically symmetrical in the primary coordination sphere with respect to the two copper ions. The Cys112Ser variant contains two distinct type 2 copper centers, while the Cys116Ser variant has one type 1 copper center with slight tetragonal distortion. Both the UV-vis and EPR spectra of the Cys116Ser variant change with pH, and the pK(a) of the transition is 6.0. A type 1 copper EPR spectrum with A(||) = 26 G was obtained at pH 7.0, while a type 2 copper EPR spectrum with A(||) = 140 G was found at pH 5.0. Interestingly, lowering the temperature from 290 to 85 K resulted in conversion of the Cys116Ser variant from a type 1 copper center to a type 2 copper center, suggesting rearrangement of the ligand around the copper or binding of an exogenous ligand at low temperature. This difference in mutation effects at different cysteines may be due to different constraints exerted on the two cysteines by hydrogen-bonding patterns in the ligand loop.  相似文献   

12.
Many proteins in living cells coordinate cofactors, such as metal ions, to attain their activity. Since the cofactors in such cases often can interact with their corresponding unfolded polypeptides in vitro, it is important to unravel how cofactors modulate protein folding. In this review, I will discuss the role of cofactors in folding of the blue-copper protein Pseudomonas aeruginosa azurin. In the case of both copper (Cu(II) and Cu(I)) and zinc (Zn(II)), the metal can bind to unfolded azurin. The residues involved in copper (Cu(II) and Cu(I)) coordination in the unfolded state have been identified as Cys112, His117, and Met121. The affinities of Cu(II), Cu(I), and Zn(II) are all higher for the folded than for the unfolded azurin polypeptide, resulting in metal stabilization of the native state as compared to the stability of apo-azurin. Cu(II), Zn(II), and several apo forms of azurin all fold in two-state kinetic reactions with roughly identical polypeptide-folding speeds. This suggests that the native-state beta-barrel topology, not cofactor interactions or thermodynamic stability, determines azurin's folding barrier. Nonetheless, copper binds much more rapidly (i.e., 4 orders of magnitude) to unfolded azurin than to folded azurin. Therefore, the fastest route to functional azurin is through copper binding before polypeptide folding; this sequence of events may be the relevant biological pathway.  相似文献   

13.
Copper transfer to cuproproteins located in vesicular compartments of the secretory pathway depends on activity of the copper-translocating ATPase (ATP7A), but the mechanism of transfer is largely unexplored. Copper-ATPase ATP7A is unique in having a sequence rich in histidine and methionine residues located on the lumenal side of the membrane. The corresponding fragment binds Cu(I) when expressed as a chimera with a scaffold protein, and mutations or deletions of His and/or Met residues in its sequence inhibit dephosphorylation of the ATPase, a catalytic step associated with copper release. Here we present evidence for a potential role of this lumenal region of ATP7A in copper transfer to cuproenzymes. Both Cu(II) and Cu(I) forms were investigated since the form in which copper is transferred to acceptor proteins is currently unknown. Analysis of Cu(II) using EPR demonstrated that at Cu:P ratios below 1:1 (15)N-substituted protein had Cu(II) bound by 4 His residues, but this coordination changed as the Cu(II) to protein ratio increased toward 2:1. XAS confirmed this coordination via analysis of the intensity of outer-shell scattering from imidazole residues. The Cu(II) complexes could be reduced to their Cu(I) counterparts by ascorbate, but here again, as shown by EXAFS and XANES spectroscopy, the coordination was dependent on copper loading. At low copper Cu(I) was bound by a mixed ligand set of His + Met, whereas at higher ratios His coordination predominated. The copper-loaded loop was able to transfer either Cu(II) or Cu(I) to peptidylglycine monooxygenase in the presence of chelating resin, generating catalytically active enzyme in a process that appeared to involve direct interaction between the two partners. The variation of coordination with copper loading suggests copper-dependent conformational change which in turn could act as a signal for regulating copper release by the ATPase pump.  相似文献   

14.
CopC is a small soluble protein expressed in the periplasm of Pseudomonas syringae pathovar tomato as part of its copper resistance response (cop operon). Equilibrium competition reactions confirmed two separated binding sites with high affinities for Cu(I) (10(-7) > or = K(D) > or = 10(-13) M) and Cu(II) (K(D) = 10(-13(1)) M), respectively. While Cu(I)-CopC was converted cleanly by O2 to Cu(II)-CopC, the fully loaded form Cu(I)Cu(II)-CopC was stable in air. Variant forms H1F and H91F exhibited a lower affinity for Cu(II) than does the wild-type protein while variant E27G exhibited a higher affinity. Cation exchange chromatography detected each of the four different types of intermolecular copper transfer reactions possible between wild type and variant forms: Cu(I) site to Cu(II) site; Cu(II) site to Cu(I) site; Cu(I) site to Cu(I) site; Cu(II) site to Cu(II) site. The availability of an unoccupied site of higher affinity induced intermolecular transfer of either Cu(I) or Cu(II) in the presence of O2 while buffering concentrations of cupric ion at sub-picomolar levels. Crystal structures of two crystal forms of wild-type Cu(I)Cu(II)-CopC and of the apo-H91F variant demonstrate that the core structures of the molecules in the three crystal forms are conserved. However, the conformations of the amino terminus (a Cu(II) ligand) and the two copper-binding loops (at each end of the molecule) differ significantly, providing the structural lability needed to allow transfer of copper between partners, with or without change of oxidation state. CopC has the potential to interact directly with each of the four cop proteins coexpressed to the periplasm.  相似文献   

15.
The redox potentials and reorganization energies of the type 1 (T1) Cu site in four multicopper oxidases were calculated by combining first principles density functional theory (QM) and QM/MM molecular dynamics (MD) simulations. The model enzymes selected included the laccase from Trametes versicolor, the laccase-like enzyme isolated from Bacillus subtilis, CueO required for copper homeostasis in Escherichia coli, and the small laccase (SLAC) from Streptomyces coelicolor. The results demonstrated good agreement with experimental data and provided insight into the parameters that influence the T1 redox potential. Effects of the immediate T1 Cu site environment, including the His(N(δ))-Cys(S)-His(N(δ)) and the axial coordinating amino acid, as well as the proximate H(N)(backbone)-S(Cys) hydrogen bond, were discerned. Furthermore, effects of the protein backbone and side-chains, as well as of the aqueous solvent, were studied by QM/MM molecular dynamics (MD) simulations, providing an understanding of influences beyond the T1 Cu coordination sphere. Suggestions were made regarding an increase of the T1 redox potential in SLAC, i.e., of Met198 and Thr232 in addition to the axial amino acid Met298. Finally, the results of this work presented a framework for understanding parameters that influence the Type 1 Cu MCO redox potential, useful for an ever-growing range of laccase-based applications.  相似文献   

16.
17.
Evolutionary links between type 1 blue copper (T1 Cu), type 2 red copper (T2 Cu), and purple Cu(A) cupredoxins have been proposed, but the structural features and mechanism responsible for such links as well as for assembly of Cu(A) sites in vivo are poorly understood, even though recent evidence demonstrated that the Cu(II) oxidation state plays an important role in this process. In this study, we examined the kinetics of Cu(II) incorporation into the Cu(A) site of a biosynthetic Cu(A) model, Cu(A) azurin (Cu(A)Az) and found that both T1 Cu and T2 Cu intermediates form on the path to final Cu(A) reconstitution in a pH-dependent manner, with slower kinetics and greater accumulation of the intermediates as the pH is raised from 5.0 to 7.0. While these results are similar to those observed previously in the native Cu(A) center of nitrous oxide reductase, the faster kinetics of copper incorporation into Cu(A)Az allowed us to use lower copper equivalents to reveal a new pathway of copper incorporation, including a novel intermediate that has not been reported in cupredoxins before, with intense electronic absorption maxima at ~410 and 760 nm. We discovered that this new intermediate underwent reduction to Cu(I), and proposed that it is a Cu(II)-dithiolate species. Oxygen-dependence studies demonstrated that the T1 Cu species only formed in the presence of molecular oxygen, suggesting the T1 Cu intermediate is a one-electron oxidation product of a Cu(I) species. By studying Cu(A)Az variants where the Cys and His ligands are mutated, we have identified the T2 Cu intermediate as a capture complex with Cys116 and the T1 Cu intermediate as a complex with Cys112 and His120. These results led to a unified mechanism of copper incorporation and new insights regarding the evolutionary link between all cupredoxin sites as well as the in vivo assembly of Cu(A) centers.  相似文献   

18.
The Cu(I)-detoxifying P-type ATPase CopA from Bacillus subtilis contains two N-terminal soluble domains, CopAa and CopAb, connected by a short linker. This arrangement is extremely common in prokaryotic Cu(I) transporters and is also found amongst the multiple soluble domains of eukaryotic homologues. Previous studies of a protein containing only these domains (CopAab) revealed complex Cu(I)-binding properties: both domains are able to bind Cu(I) extremely tightly and, at levels of Cu(I) > 1 per CopAab, the protein undergoes dimerisation, yielding a highly luminescent multi-Cu(I) bound species (Singleton and Le Brun, Dalton Trans., 2009, 688-696). To investigate this complex Cu(I)-binding behaviour and, in particular, to determine the contributions of the two domains to the overall behaviour of the N-terminal part, we generated and purified each domain in isolation. Here, we report studies of the second domain, CopAb. The protein was found to bind Cu(I) with an extremely high affinity (K = ~1 × 10(18) M(-1)) and remained as a monomer up to a level of 1 Cu(I) per protein. Above this level, the protein dimerised, generating a weakly luminescent species. Studies of the acid-base properties of the binding motif Cys residues revealed pK(a) values of < ~5 and ~6.3, adding further support to the proposal that high Cu(I)-affinity is correlated with low proton affinity. Exchange of Cu(I) between the protein and a high affinity chelator was found to occur rapidly via Cu(I)-mediated association, a process that is relevant to in vivo Cu(I) trafficking. Overall, the Cu(I)-binding properties of CopAb are very similar to those of the two-domain protein CopAab, indicating that this domain plays a dominant role in determining the binding properties of CopAab.  相似文献   

19.
Cellular acquisition of copper in eukaryotes is primarily accomplished through the Ctr family of copper transport proteins. In both humans and yeast, methionine-rich "Mets" motifs in the amino-terminal extracellular domain of Ctr1 are thought to be responsible for recruitment of copper at the cell surface. Unlike yeast, mammalian Ctr1 also contains extracellular histidine-rich motifs, although a role for these regions in copper uptake has not been explored in detail. Herein, synthetic model peptides containing the first 14 residues of the extracellular domain of human Ctr1 (MDHSHHMGMSYMDS) have been prepared and evaluated for their apparent binding affinity to both Cu(I) and Cu(II). These studies reveal a high affinity Cu(II) binding site (log K = 11.0 ± 0.3 at pH 7.4) at the amino-terminus of the peptide as well as a high affinity Cu(I) site (log K = 10.2 ± 0.2 at pH 7.4) that utilizes adjacent HH residues along with an additional His or Met ligand. These model studies suggest that the histidine domains may play a direct role in copper acquisition from serum copper-binding proteins and in facilitating the reduction of Cu(II) to the active Ctr1 substrate, Cu(I). We tested this hypothesis by expressing a Ctr1 mutant lacking only extracellular histidine residues in Ctr1-knockout mouse embryonic fibroblasts. Results from live cell studies support the hypothesis that extracellular amino-terminal His residues directly participate in the copper transport function of Ctr1.  相似文献   

20.
A series of mutations was targeted at the methionine residue, Met471, coordinating the Cu(M) site of tyramine beta-monooxygenase (TbetaM). The methionine ligand at Cu(M) is believed to be key to dioxygen activation and the hydroxylation chemistry of the copper monooxygenases. The reactivity and copper binding properties of three TbetaM mutants, Met471Asp, Met471Cys, and Met471His, were examined. All three mutants show similar metal binding affinities to wild type TbetaM in the oxidized enzyme forms. EPR spectroscopy suggests that the Cu(II) coordination geometry is identical to that of the WT enzyme. However, substrate hydroxylation was observed for the reaction of tyramine solely with Met471Cys TbetaM. Met471Cys TbetaM provides the first example of an active mutant directed at the Cu(M) site of this class of hydroxylases. The reactivity and altered kinetics of the Met471Cys mutant further highlight the central role of the methionine residue in the enzyme mechanism. The sole ability of the cysteine residue to support activity among the series of alternate amino acids investigated is relevant to theoretical and biomimetic investigations of dioxygen activation at mononuclear copper centers.  相似文献   

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