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1.
Cytochrome c1aa3 from Thermus thermophilus has optical and EPR properties similar to bovine cytochrome c oxidase. We have studied 87Fe-enriched samples with M?ssbauer spectroscopy in the fully oxidized and fully reduced states and in the oxidized state complexed with cyanide. The cytochromes a and c1 yielded spectra quite similar to those reported for the cytochromes c and b5; in the oxidized state the spectra reflect noninteracting, low spin ferric hemes, whereas the a- and c1-sites of the reduced enzyme are typical of low spin ferrous hemochromes. The spectra of the reduced enzyme show that reduced cytochrome a3 is high spin ferrous, with M?ssbauer parameters quite similar to those of deoxymyoglobin. Upon addition of cyanide to the oxidized enzyme, the a3-site exhibits in the absence of an applied magnetic field and at temperatures down to 1.3 K a quadrupole doublet with parameters typical of low spin ferric heme-CN complexes. The low temperature spectra taken in applied magnetic fields show that the electronic ground state of the a3-CN complex has integer electronic spin, suggesting ferromagnetic coupling of the low spin ferric heme (S = 1/2) to Cu2+ (S = 1/2) to yield as S = 1 ground state. We have examined the oxidized enzyme from two different preparations. Both had good activity and identical optical and EPR spectra. The M?ssbauer spectra, however, revealed that the a3-site had a substantially different electronic structure in the two preparations. Neither configuration had properties in accord with the widely accepted spin-coupling model proposed for the bovine enzyme.  相似文献   

2.
The single subunit terminal oxidase of Sulfolobus acidocaldarius, cytochrome aa3, was studied by resonance Raman spectroscopy. Results on the fully oxidized, the fully reduced, and the reduced carbon monoxide complex are reported and compared with those of eucaryotic cytochrome oxidase. It is shown that in both redox states the hemes a and a3 are in the six-coordinated low-spin and six-coordinated high-spin configuration, respectively. The resonance Raman spectra reveal far-reaching similarities of this archaebacterial with mammalian or plant enzymes except for the reduced form of heme a. The formyl substituent of this heme appears above 1640 cm-1, ruling out significant hydrogen bonding interactions which is in sharp contrast to beef heart cytochrome oxidase. In addition, frequency upshifts of the marker bands v4 and v2 are noted indicating differences in the electron density distribution within the molecular orbitals of the porphyrin.  相似文献   

3.
P Hellwig  T Soulimane  G Buse  W M?ntele 《Biochemistry》1999,38(30):9648-9658
The ba3 cytochrome c oxidase from Thermus thermophilus has been studied with a combined electrochemical, UV/VIS, and FTIR spectroscopic approach. Oxidative electrochemical redox titrations yielded midpoint potentials of Em1= -0.02 +/- 0.01 V and Em2 = 0.16 +/- 0.04 V for heme b and Em1 = 0.13 +/- 0.04 V and Em2 = 0.22 +/- 0.03 V for heme a(3) (vs Ag/AgCl/3 M KCl). Fully reversible electrochemically induced UV/VIS and FTIR difference spectra were obtained for the full potential step from -0. 5 to 0.5 V as well as for the critical potential steps from -0.5 to 0.1 V (heme b is fully oxidized and heme a3 remains essentially reduced) and from 0.1 to 0.5 V (heme b remains oxidized and heme a3 becomes oxidized). The difference spectra thus allow to us distinguish modes coupled to heme b and heme a3. Analogous difference spectra were obtained for the enzyme in D2O buffer for additional assignments. The FTIR difference spectra reveal the reorganization of the polypeptide backbone, perturbations of single amino acids and of hemes b and a3 upon electron transfer to/from the four redox-active centers heme b and a3, as well as CuB and CuA. Proton transfer coupled to redox transitions can be expected to manifest in the spectra. Tentative assignments of heme vibrational modes, of individual amino acids, and of secondary structure elements are presented. Aspects of the uncommon electrochemical and spectroscopic properties of the ba3 oxidase from T. thermophilus are discussed.  相似文献   

4.
The interactions of yeast iso-1 cytochrome c with bovine cytochrome c oxidase were studied using cytochrome c variants in which lysines of the binding domain were substituted by alanines. Resonance Raman spectra of the fully oxidized complexes of both proteins reveal structural changes of both the heme c and the hemes a and a3. The structural changes in cytochrome c are the same as those observed upon binding to phospholipid vesicles where the bound protein exists in two conformers, B1 and B2. Whereas the structure of B1 is the same as that of the unbound cytochrome c, the formation of B2 is associated with substantial alterations of the heme pocket. In cytochrome c oxidase, the structural changes in both hemes refer to more subtle perturbations of the immediate protein environment and may be a result of a conformational equilibrium involving two states. These changes are qualitatively different to those observed for cytochrome c oxidase upon poly-l-lysine binding. The resonance Raman spectra of the various cytochrome c/cytochrome c oxidase complexes were analyzed quantitatively. The spectroscopic studies were paralleled by steady-state kinetic measurements of the same protein combinations. The results of the spectra analysis and the kinetic studies were used to determine the stability of the complexes and the conformational equilibria B2/B1 for all cytochrome c variants. The complex stability decreases in the order: wild-type WT > J72K > K79A > K73A > K87A > J72A > K86A > K73A/K79A (where J is the natural trimethyl lysine). This order is not exhibited by the conformational equilibria. The electrostatic control of state B2 formation does not depend on individual intermolecular salt bridges, but on the charge distribution in a specific region of the front surface of cytochrome c that is defined by the lysyl residues at positions 72, 73 and 79. On the other hand, the conformational changes in cytochrome c oxidase were found to be independent of the identity of the bound cytochrome c variant. The maximum rate constants determined from steady-state kinetic measurements could be related to the conformational equilibria of the bound cytochrome c using a simple model that assumes that the conformational transitions are faster than product formation. Within this model, the data analysis leads to the conclusion that the interprotein electron transfer rate constant is around two times higher in state B2 than in B1. These results can be interpreted in terms of an increase of the driving force in state B2 as a result of the large negative shift of the reduction potential.  相似文献   

5.
A novel bo3-type quinol oxidase was highly purified from Bacillus cereus PYM1, a spontaneous mutant unable to synthesize heme A and therefore spectroscopically detectable cytochromes aa3 and caa3. The purified enzyme contained 12.4 nmol of heme O and 11.5 nmol of heme B mg-1 protein. The enzyme was composed of two subunits with an Mr of 51,000 and 30,000, respectively. Both subunits were immunoreactive to antibodies raised against the B cereus aa3 oxidase. Moreover, amino-terminal sequence analysis of the 30-kDa subunit revealed that the first 19 residues were identical to those from the 30-kDa subunit of the B. cereus aa3 oxidase. The purified bo3 oxidase failed to oxidize ferrrocytochrome c (neither yeast nor horse) but oxidized tetrachlorohydroquinol with an apparent Km of 498 microM, a Vmax of 21 micromol of O2 min-1mg-1, and a calculated turnover of 55 s-1. The quinol oxidase activity with tetrachlorohydroquinol was inhibited by potassium cyanide and 2-n-heptyl 4-hydroxyquinoline-N-oxide with an I50 of 24 and 300 microM, respectively. Our results demonstrate that the bo3 oxidase of this mutant is not the product of a new operon but instead is a cytochrome aa3 apoprotein encoded by the qox operon of the aa3 oxidase of B. cereus wild type promiscuously assembled with hemes B and O replacing heme A, producing a novel bo3 cytochrome. This is the first reported example of an enzymatically active promiscuous oxidase resulting from the simultaneous substitution of its original hemes in the high and low spin sites.  相似文献   

6.
Cytochrome c oxidase forms tight binding complexes with the cytochrome c analog, porphyrin cytochrome c. The behaviour of the reduced and pulsed forms of the oxidase with porphyrin cytochrome c have been followed as functions of ionic strength; this behaviour has been compared with that of the resting oxidase [Kornblatt, Hui Bon Hoa and English (1984) Biochemistry 23, 5906-5911]. All forms of the cytochrome oxidase studied bind one porphyrin cytochrome c per 'functional' cytochrome oxidase (two heme a); it appears as though porphyrin cytochrome c and cytochrome c compete for the same site on the oxidase. The resting enzyme binds cytochrome c 8 times more strongly than porphyrin cytochrome c; the reduced enzyme, in contrast, binds the two with almost equal affinity. In all three cases, resting, pulsed and reduced, the heme-to-porphyrin distance is estimated to be about 3 nm. The tight-binding complexes formed between cytochrome oxidase and porphyrin cytochrome c can be dissociated by salt. Debye-Hückel analysis of salt titrations indicate that the resting enzyme and the reduced enzyme are similar in that the product of the interaction charges on the two proteins is about -14. The product of the charges for the pulsed enzyme is -25, indicating that on average another positive and negative charge take part in the interaction of the two proteins. While there is one tight binding site for cytochrome c per two heme a, cytochrome c is able to 'communicate' with four heme a. In the absence of cytochrome c, electron transfer from tetramethylphenylenediamine to the oxidase to oxygen results in the conversion of the resting form to the 'oxygenated'; in the presence of cytochrome c, the same electron transfer results in the appearance of the 'pulsed' form. Cytochrome c titrations of the enzyme show that a ratio of only one cytochrome c to four heme a is sufficient to convert all the oxidase to the 'pulsed' form. Porphyrin cytochrome c, like cytochrome c, catalyzes the same conversion with the same stoichiometry. The binding data and salt effects indicate that major structural alterations occur in the oxidase as it is converted from the resting to the partially reduced and subsequently to the pulsed form.  相似文献   

7.
Spectroelectrochemistry was used to determine the midpoint redox potentials of heme cofactors of the caa3-type cytochrome oxidase from the alkaliphilic bacterium Bacillus pseudofirmus FTU. The apparent midpoint potentials (E(m)(app)) for the most prominent transitions of hemes a and a3 (+193 and +334 mV, respectively) were found to be similar to the values reported for other enzymes with high homology to the caa3-type oxidase. In contrast, the midpoint potential of the covalently bound cytochrome c (+89 mV) was 150-170 mV lower than in cytochromes c, either low molecular weight or covalently bound to the caa3 complex in all known aerobic neutralophilic and thermo-neutralophilic bacteria. Such an unusually low redox potential of the covalently bound cytochrome c of the caa3-type oxidase of alkaliphilic bacteria, together with high redox potentials of hemes a and a3, ensures more than twice higher difference in redox potentials inside the respiratory complex compared to the homologous mitochondrial enzyme. The energy released during this redox transition might be stored in the transmembrane H+ gradient even under low Deltap in the alkaline environment of the bacteria at the expense of a significant increase in DeltaG of the coupled redox reaction.  相似文献   

8.
The 1:1 complex between horse heart cytochrome c and bovine cytochrome c oxidase, and between yeast cytochrome c and Paracoccus denitrificans cytochrome c oxidase have been studied by a combination of second derivative absorption, circular dichroism (CD), and resonance Raman spectroscopy. The second derivative absorption and CD spectra reveal changes in the electronic transitions of cytochrome a upon complex formation. These results could reflect changes in ground state heme structure or changes in the protein environment surrounding the chromophore that affect either the ground or excited electronic states. The resonance Raman spectrum, on the other hand, reflects the heme structure in the ground electronic state only and shows no significant difference between cytochrome a vibrations in the complex or free enzyme. The only major difference between the Raman spectra of the free enzyme and complex is a broadening of the cytochrome a3 formyl band of the complex that is relieved upon complex dissociation at high ionic strength. These data suggest that the differences observed in the second derivative and CD spectra are the result of changes in the protein environment around cytochrome a that affect the electronic excited state. By analogy to other protein-chromophore systems, we suggest that the energy of the Soret pi* state of cytochrome a may be affected by (1) changes in the local dielectric, possibly brought about by movement of a charged amino acid side chain in proximity to the heme group, or (2) pi-pi interactions between the heme and aromatic amino acid residues.  相似文献   

9.
M?ssbauer spectroscopy was used to study the tetraheme cytochrome c3 from Desulfovibrio baculatus (DSM 1743). Samples with different degrees of reduction were prepared using a redoxtitration technique. In the reduced cytochrome c3, all four hemes are reduced and exhibit diamagnetic M?ssbauer spectra typical for low-spin ferrous hemes (S = 0). In the oxidized protein, the hemes are low-spin ferric (S = 1/2) and exhibit overlapping magnetic M?ssbauer spectra. A method of differential spectroscopy was applied to deconvolute the four overlapping heme spectra and a crystal-field model was used for data analysis. Characteristic M?ssbauer spectral components for each heme group are obtained. Hyperfine and crystal-field parameters for all four hemes are determined from these deconvoluted spectra.  相似文献   

10.
Stabilized intermediate redox states of cytochrome c are generated by radiolytic reduction of initially oxidized enzyme in glass matrices at liquid nitrogen temperature. In the intermediate states the heme group is reduced by hydrated electrons, whereas the protein conformation is restrained close to its oxidized form by the low-temperature glass matrix. The intermediate and stable redox states of cytochrome c at neutral and alkaline pH are studied by low-temperature resonance Raman spectroscopy using excitations in resonance with the B (Soret) and Q1 (beta) optical transitions. The assignments of the cytochrome c resonance Raman bands are discussed. The observed spectral characteristics of the intermediate states as well as of the alkaline transition in the oxidized state are interpreted in terms of oxidation-state marker modes, spin-state marker modes, heme iron--axial ligand stretching modes, totally symmetric in-plane porphyrin modes, nontotally symmetric in-plane modes, and out-of-plane modes.  相似文献   

11.
The spectral and kinetic characteristics of two oxidized states of bovine heart cytochrome c oxidase (CcO) have been compared. The first is the oxidized state of enzyme isolated in the fast form (O) and the second is the form that is obtained immediately after oxidation of fully reduced CcO with O2 (OH). No observable differences were found between O and OH states in: (i) the rate of anaerobic reduction of heme a3 for both the detergent-solubilized enzyme and for enzyme embedded in its natural membraneous environment, (ii) the one-electron distribution between heme a3 and CuB in the course of the full anaerobic reduction, (iii) the optical and (iv) EPR spectra. Within experimental error of these characteristics both forms are identical. Based on these observations it is concluded that the reduction potentials and the ligation states of heme a3 and CuB are the same for CcO in the O and OH states.  相似文献   

12.
The interaction of solvent water protons with the bound paramagnetic metal ions of beef heart cytochrome c oxidase has been examined. The observed proton relaxation rates of enzyme solutions had a negative temperature dependence, indicating a rapid exchange between solvent protons in the coordination sphere of the metal ions and bulk solvent. An analysis of the dependence of the proton relaxation rate on the observation frequency indicated that the correlation time, which modulates the interaction between solvent protons and the unpaired electrons on the metal ions, is due to the electron spin relaxation time of the heme irons of cytochrome c oxidase. This means that at least one of the hemes is exposed to solvent. The proton relaxation rate of the oxidized enzyme was found to be sensitive to changes in ionic strength and to changes in the spin states of the metal ions. Heme a3 was found to be relatively inaccessible to bulk solvent. Partial reduction of the enzyme caused a slight increase in the relaxation rate, which may be due to a change in the antiferromagnetic coupling between two of the bound paramagnetic centers. Further reduction resulted in a decreased relaxation rate, and the fully reduced enzyme was no longer sensitive to changes in ionic strength. The binding of cytochrome c to cytochrome c oxidase had little effect on the proton relaxation rates of oxidized cytochrome oxidase indicating that cytochrome c binding has little effect on solvent accessibility to the metal ion sites.  相似文献   

13.
Redox transitions in a film of detergent-purified bovine cytochrome bc(1) complex were investigated by perfusion-induced attenuated total reflection Fourier transform infrared (ATR-FTIR) spectroscopy. The technique provides a flexible method for generating redox-induced IR changes of components of bovine cytochrome bc(1) complex at a high signal:noise ratio. These IR redox difference spectra arise from perturbations of prosthetic groups and surrounding protein. Visible difference spectra were recorded synchronously using a light beam reflected from the exposed prism surface and provided a quantitative means of determining the redox transitions that were occurring. IR and visible redox difference spectra of iron-sulfur protein/cytochrome c(1), heme b(H), and heme b(L) were separated by selective reduction and/or oxidation that extends published data on the homologous bacterial enzyme. Several bands could be tentatively assigned to redox-sensitive modes of hemes and ubiquinone and changes in the surrounding protein by comparison with available data for bacterial bc(1) complex, other related heme proteins, and model compounds. Some tentative assignments of further signals to specific amino acids are made on the basis of known crystal structures.  相似文献   

14.
The EPR absorption properties of the hemes of cytochrome oxidase and their liganded derivatives were examined in oriented multilayers from isolated oxidase, mitochondrial membranes and membrane fragments of a bacterium, Paracoccus denitrificans. The hemes of the oxidase in all the systems investigated were oriented normal to the plane of the multilayers. The directions of the g signals corresponding to the gx and gy axes of the g tensor were found to be different in low-spin ferric heme in fully oxidized oxidase and in half-reduced liganded oxidase. It is suggested that this different orientation of gx and gy in fully oxidized oxidase and half-reduced liganded oxidase arises because the respective EPR signals belong to two different hemes, those of cytochrome a and a3.  相似文献   

15.
Parul D  Palmer G  Fabian M 《Biochemistry》2005,44(11):4562-4571
Three forms of cytochrome c oxidase, fully oxidized CcO (CcO-O), oxidized CcO complexed with cyanide (CcO.CN), and mixed valence CcO, in which both heme a(3) and Cu(B) are reduced and stabilized by carbon monoxide (MV.CO), were investigated by optical spectroscopy, MCD, and stopped-flow for the pH sensitivity of spectral features. In the pH range between pH 5.7 and 9.0, both heme a and heme a(3) in CcO-O interact with a single protolytic group. From the variation of the position of the Soret peak with changes in pH, a pK(a) of 6.6 +/- 0.2 was determined for this group. The pH sensitivity of heme a(3) is lost in the CcO.CN complex, and only heme a responds to pH changes. In MV.CO the spectra of both hemes are almost independent of pH between 5.7 and 11.0. The stoichiometry of proton uptake in the conversion of CcO-O both to MV.CO and to fully reduced CcO was determined between pH 5.8 and pH 8.2. Formation of MV.CO from CcO-O was accompanied by the uptake of approximately two protons, and this value was almost independent of pH. Full reduction of oxidized CcO was associated with the uptake of approximately 2 H(+) at basic pH, and this value increases with decreasing pH. On the basis of these proton uptake measurements, it is concluded that the pK(a) of the group is independent of the redox state of CcO. It is suggested that Glu60 of subunit II, located at the entrance of the proton conducting K-channel, is the protolytic residue that interacts with both hemes through a hydrogen-bonding network.  相似文献   

16.
I Salmeen  L Rimai  G Babcock 《Biochemistry》1978,17(5):800-806
We report 441.6 nm excitation resonance Raman spectra of oxidized and reduced monomeric heme a-imidazole, cytochrome oxidase-exogenous ligand complexes in various redox states, and alkaline denatured oxidase. These data show that, in reduced oxidase, the cytochrome a3 Raman spectrum has bands at 215, 364, 1230, and 1670 cm-1 not observed in the cytochrome a spectrum. The appearance of these bands in the reduced cytochrome a3 spectrum is due to interactions between the heme a of cytochrome a3 and its protein environment and not to intrinsic properties of heme a. These interactions are pH sensitive and strongly influence the vibrational spectra of both heme a groups. We assign the 1670-cm-1 band to the heme a formyl substituent and propose that the intensity of the 1670 cm-1 is high for reduced cytochrome a3 because the C==O lies in the porphyrin plane and is very weak for oxidized and reduced cytochrome a, oxidized cytochrome a3, and oxidized and reduced heme a-imidazole because the C==O lies out of the plane. We suggest that movement of the C==O in and out of the plane explains the ligand induced spectral shift in the optical absorption spectrum of reduced cytochrome a3. Finally, we confirm the observation of Adar & Yonetani (private communication) that, under laser illumination, resting oxidase is photoreactive.  相似文献   

17.
A Desbois  M Tegoni  M Gervais  M Lutz 《Biochemistry》1989,28(20):8011-8022
Resonance Raman spectra of Hansenula anomala L-lactate:cytochrome c oxidoreductase (or flavocytochrome b2), of its cytochrome b2 core, and of a bis(imidazole) iron-protoporphyrin complex were obtained at the Soret preresonance from the oxidized and reduced forms. Raman contributions from both the isoalloxazine ring of flavin mononucleotide (FMN) and the heme b2 were observed in the spectra of oxidized flavocytochrome b2. Raman diagrams showing frequency differences of selected FMN modes between aqueous and proteic environments were drawn for various flavoproteins. These diagrams were closely similar for flavocytochrome b2 and for flavodoxins. This showed that the FMN structure must be very similar in both types of proteins, despite their very different proteic pockets. However, the electron density at this macrocycle was found to be higher in flavocytochrome b2 than in these electron transferases. No significant difference was observed between the heme structures in flavocytochrome b2 and in cytochrome b2 core. The porphyrin center-N(pyrrole) distances in the oxidized and reduced heme b2 were estimated to be 1.990 and 2.022 A from frequencies of porphyrin skeletal modes, respectively. The frequency of the vinyl stretching mode of protoporphyrin was found to be very affected in resonance Raman spectra of flavocytochrome b2 and of cytochrome b2 core (1634-1636 cm-1) relative to those observed in the spectra of iron-protoporphyrin [bis(imidazole)] complexes (1620 cm-1). These specificities were interpreted as reflecting a near coplanarity of the vinyl groups of heme b2 with the pyrrole rings to which they are attached. The low-frequency regions of resonance Raman indicated that the iron atoms of the four hemes b2 are in the porphyrin plane whatever their oxidation state. The histidine-Fe-histidine symmetric stretching mode was located at 205 cm-1 in the spectra of flavocytochrome b2 and of cytochrome b2 core. It was insensitive to the iron oxidation state and indicated strong Fe-His bonds in both states.  相似文献   

18.
Resonance Raman studies of oxidized and reduced cytochrome oxidase and liganded derivatives of the oxidized enzyme have been performed by using direct-Soret excitation at 413.1 and 406.7 nm, as well as near-Soret excitation (457.9 nm) and alpha-band excitation (604.6 nm). The Soret results clearly show selective enhancement of Raman modes of the hemes of cytochromes a and a3, depending upon the excitation wavelength chosen. For the preparations employed in this study, photoreduction of cytochrome oxidase in the laser beam was not a significant problem. Resonance Raman frequencies sensitive to oxidation state and spin state or core expansion of the a and a3 hemes are identified and correlated with those previously identified for other heme proteins. An unusual low-frequency (less than 500 cm(-1)) spectrum is observed for oxidized high-spin cytochrome a3, which may be due to axial nonheme structures in this cytochrome.  相似文献   

19.
Cytochrome bd is a bacterial respiratory oxidase carrying three hemes but no copper. We show that nitric oxide (NO) reacts with the intermediate F of cytochrome bd from Azotobacter vinelandii: (i) with a 1:1 stoichiometry, (ii) rapidly (k=1.2 +/- 0.1 x 10(5)M(-1)s(-1) at 20 degrees C), and (iii) yielding the oxidized enzyme with nitrite bound to heme d at the active site. Unexpectedly, the NO reaction mechanism of this catalytic intermediate in the Cu(B)-lacking cytochrome bd appears similar to that of beef heart cytochrome c oxidase, where Cu(B) was proposed to play a key role.  相似文献   

20.
The effect of ionic strength on the one-electron reduction of oxidized bovine cytochrome c oxidase by reduced bovine cytochrome c has been studied by using flavin semiquinone reductants generated in situ by laser flash photolysis. In the absence of cytochrome c, direct reduction of the heme a prosthetic group of the oxidase by the one-electron reductant 5-deazariboflavin semiquinone occurred slowly, despite a driving force of approximately +1 V. This is consistent with a sterically inaccessible heme a center. This reduction process was independent of ionic strength from 10 to 100 mM. Addition of cytochrome c resulted in a marked increase in the amount of reduced oxidase generated per laser flash. Reduction of the oxidase at the heme a site was monophasic, whereas oxidation of cytochrome c was multiphasic, the fastest phase corresponding in rate constant to the reduction of the heme a. During the fast kinetic phase, 2 equiv of cytochrome c was oxidized per heme a reduced. We presume that the second equivalent was used to reduce the Cua center, although this was not directly measured. The first-order rate-limiting process which controls electron transfer to the heme a showed a marked ionic strength effect, with a maximum rate constant occurring at mu = 110 mM (1470 s-1), whereas the rate constant obtained at mu = 10 mM was 630 s-1 and at mu = 510 mM was 45 s-1. There was no effect of "pulsing" the enzyme on this rate-limiting one-electron transfer process. These results suggest that there are structural differences in the complex(es) formed between mitochondrial cytochrome c and cytochrome c oxidase at very low and more physiologically relevant ionic strengths, which lead to differences in electron-transfer rate constants.  相似文献   

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