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1.
K H Jung  E N Spudich  P Dag  J L Spudich 《Biochemistry》1999,38(40):13270-13274
Sensory rhodopsin I (SRI) is a seven-transmembrane helix retinylidene protein that mediates color-sensitive phototaxis responses through its bound transducer HtrI in the archaeon Halobacterium salinarum. Deprotonation of the Schiff base attachment site of the chromophore accompanies formation of the SRI signaling state, S(373). We measured the rate of laser flash-induced S(373) formation in the presence and absence of HtrI, and the effects of mutations in SRI or HtrI on the kinetics of this process. In the absence of HtrI, deprotonation occurs rapidly (halftime 10 micros) if the proton acceptor Asp76 is ionized (pK(a) = approximately 7), and only very slowly (halftime > 10 ms) when Asp76 is protonated. Transducer-binding, although it increases the pK(a) of Asp76 so that it is protonated throughout the range of pH studied, results in a first order, pH-independent rate of S(373) formation of approximately 300 micros. Therefore, the complexation of HtrI facilitates the proton-transfer reaction, increasing the rate approximately 50-fold at pH6. Arrhenius analysis shows that HtrI-binding accelerates the reaction primarily by an entropic effect, suggesting HtrI constrains the SRI molecule in the complex. Function-perturbing mutations in SRI and HtrI also alter the rate of S(373) formation and the lambda(max) of the parent state as assessed by laser flash-induced kinetic difference spectroscopy, and shifts to longer wavelength are correlated with slower deprotonation. The data indicate that HtrI affects electrostatic interactions of the protonated Schiff base and not only receives the signal from SRI but also optimizes the photochemical reaction process for SRI signaling.  相似文献   

2.
Sensory rhodopsin I (SRI) functions in both positive and negative phototaxis in complex with halobacterial transducer protein I (HtrI). Orange light activation of SRI results in deprotonation of the retinylidene chromophore of SRI to produce the S 373 photocycle intermediate, the signaling state for positive phototaxis. In this study, we observed pH dependence on structural coupling between the two molecules upon the formation of the S 373 intermediate by means of Fourier transform infrared spectroscopy. At alkaline pH, where Asp76 (one of the counterions of the protonated retinylidene Schiff base) is deprotonated, HtrI-dependent alteration of the light-induced difference spectra is limited to reduction of amide I bands at 1661 (+)/ 1647 (-) cm (-1), and perturbation of one of the protonated carboxylic acid bands occurs at 1734 (-) cm (-1) (which appears to become ionized only when complexed with HtrI). However, at acidic pH, HtrI-complexed SRI exhibits not only light-induced reduction of the amide I changes but a wider range of spectral alterations including the appearance of several new amide I bands, perturbation of the chromophore-related vibrational modes, and other additional changes characteristic of tyrosine, glutamate, and aspartate residues. Since such pH dependence of structural changes was not observed in the complex of the D76N mutant of SRI, which behaves much like HtrI-complexed SRI in acidic conditions, we conclude that extensive orange light-induced conformational coupling between SRI and HtrI occurs only when Asp76 is neutralized.  相似文献   

3.
Sensory rhodopsin I (SR-I lambda(max) 587 nm) is a phototaxis receptor in the archaeon Halobacterium salinarium. Photoisomerization of retinal in SR-I generates a long-lived intermediate with lambda(max) 373 nm which transmits a signal to the membrane-bound transducer protein HtrI. Although SR-I is structurally similar to the electrogenic proton pump bacteriorhodopsin (BR), early studies showed its photoreactions do not pump protons, nor result in membrane hyperpolarization. These studies used functionally active SR-I, that is, SR-I complexed with its transducer HtrI. Using recombinant DNA methods we have expressed SR-I protein containing mutations in ionizable residues near the protonated Schiff base, and studied wild-type and site-specifically mutated SR-I in the presence and absence of the transducer protein. UV-Vis kinetic absorption spectroscopy, FT-IR, and pH and membrane potential probes reveal transducer-free SR-I photoreactions result in vectorial proton translocation across the membrane in the same direction as that of BR. This proton pumping is suppressed by interaction with transducer which diverts the proton movements into an electroneutral path. A key step in this diversion is that transducer interaction raises the pK(a) of the aspartyl residue in SR-I (Asp76) which corresponds to the primary proton-accepting residue in the BR pump (Asp85). In transducer-free SR-I, our evidence indicates the pK(a) of Asp76 is 7.2, and ionized Asp76 functions as the Schiff base proton acceptor in the SR-I pump. In the SR-I/HtrI complex, the pK(a) of Asp76 is 8.5, and therefore at physiological pH (7.4) Asp76 is neutral. Protonation changes on Asp76 are clearly not required for signaling since the SR-I mutants D76N and D76A are active in phototaxis. The latent proton-translocation potential of SR-I may reflect the evolution of the SR-I sensory signaling mechanism from the proton pumping mechanism of BR.  相似文献   

4.
In bacteriorhodopsin Asp85 has been proposed to function both as a negative counterion to the Schiff base and as proton acceptor in the early stages of the photocycle. To test this proposal further, we have replaced Asp85 by His. The rationale for this replacement is that although His can function as a proton acceptor, it cannot provide a negative charge at residue 85 to serve as a counterion to the protonated Schiff base. We show here that the absorption spectrum of the D85H mutant is highly sensitive to the pH of the external medium. From spectroscopic titrations, we have determined the apparent pK for deprotonation of the Schiff base to be 8.8 +/- 0.1 and the apparent pK for protonation of the His85 side chain to be approximately 3.5. Between pH 3.5 and 8.8, where the Schiff base is protonated, and the His side chain is deprotonated, the D85H mutant is completely inactive in proton transport. Time-resolved studies show that there is no detectable formation of an M-like intermediate in the photocycle of the D85H mutant. These experiments show that the presence of a neutral proton-accepting moiety at residue 85 is not sufficient for carrying out light-driven proton transport. The requirements at residue 85 are therefore for a group that serves both as a negatively charged counterion and as a proton acceptor.  相似文献   

5.
Swartz TE  Szundi I  Spudich JL  Bogomolni RA 《Biochemistry》2000,39(49):15101-15109
Sensory rhodopsin-I (SRI) functions as a color discriminating receptor in halobacterial phototaxis. SRI exists in the membrane as a molecular complex with a signal transducer protein. Excitation of its thermally stable form, SRI(587), generates a long-lived photointermediate of its photocycle, S(373), and an attractant phototactic response. S(373) decays thermally in a few seconds into SRI(587.) However, when S(373) is excited by UV-blue light, it photoconverts into SRI(587) in less than a second, generating a repellent phototactic response. Only one intermediate of this back-photoreaction, S(b)(510), is known. We studied the back-photoreaction in both native SRI and its transducer free form fSRI by measuring laser flash induced absorption changes of S(373) photoproducts from 100 ns to 1 s in the 350-750 nm range. Using global exponential fitting, we determined the spectra and kinetics of the photointermediates. S(373) and fS(373) when pumped with 355 nm laser light generate in less than 100 ns two intermediate species: a previously undetected species that absorbs maximally at about 410 nm, S(b)(410), and the previously described S(b)(510). These two intermediates appear to be in a rapid equilibrium, which probably entails protonation change of the Schiff base chromophore. At pH 6 this system relaxes to SRI(587) via another intermediate absorbing maximally around 550 nm, which thermally decays back to the ground state. The same intermediates are seen in the presence and absence of transducer; however, the kinetics are affected by binding of the transducer.  相似文献   

6.
The role of Asp-96 in the bacteriorhodopsin (bR) photocycle has been investigated by time-resolved and static low-temperature Fourier transform infrared difference spectroscopy. Bands in the time-resolved difference spectra of bR were assigned by obtaining analogous time-resolved spectra from the site-directed mutants Asp-96----Ala and Asp-96----Glu. As concluded previously (Braiman, M. S., Mogi, T., Marti, T., Stern, L. J., Khorana, H. G., and Rothschild, K. J. (1988) Biochemistry 27, 8516-8520) Asp-96 is predominantly in a protonated state in the M intermediate. Upon formation of the N intermediate, deprotonation of Asp-96 occurs. This is consistent with its postulated role as a key residue in the reprotonation pathway leading from the cytoplasm to the Schiff base. A broad band centered at 1400 cm-1, which increases in intensity upon N formation is assigned to the Asp-96 symmetric COO- vibration. The Asp-96----Ala mutation also causes a delay in the Asp-212 protonation which normally occurs during the L----M transition. It is concluded that Asp-96 donates a proton into the Schiff base reprotonation pathway during N formation and that it accepts a proton from the cytoplasm during the N----O or O----bR transition.  相似文献   

7.
One of the distinctive features of eubacterial retinal-based proton pumps, proteorhodopsins, xanthorhodopsin, and others, is hydrogen bonding of the key aspartate residue, the counterion to the retinal Schiff base, to a histidine. We describe properties of the recently found eubacterium proton pump from Exiguobacterium sibiricum (named ESR) expressed in Escherichia coli, especially features that depend on Asp-His interaction, the protonation state of the key aspartate, Asp85, and its ability to accept a proton from the Schiff base during the photocycle. Proton pumping by liposomes and E. coli cells containing ESR occurs in a broad pH range above pH 4.5. Large light-induced pH changes indicate that ESR is a potent proton pump. Replacement of His57 with methionine or asparagine strongly affects the pH-dependent properties of ESR. In the H57M mutant, a dramatic decrease in the quantum yield of chromophore fluorescence emission and a 45 nm blue shift of the absorption maximum with an increase in the pH from 5 to 8 indicate deprotonation of the counterion with a pK(a) of 6.3, which is also the pK(a) at which the M intermediate is observed in the photocycle of the protein solubilized in detergent [dodecyl maltoside (DDM)]. This is in contrast with the case for the wild-type protein, for which the same experiments show that the major fraction of Asp85 is deprotonated at pH >3 and that it protonates only at low pH, with a pK(a) of 2.3. The M intermediate in the wild-type photocycle accumulates only at high pH, with an apparent pK(a) of 9, via deprotonation of a residue interacting with Asp85, presumably His57. In liposomes reconstituted with ESR, the pK(a) values for M formation and spectral shifts are 2-3 pH units lower than in DDM. The distinctively different pH dependencies of the protonation of Asp85 and the accumulation of the M intermediate in the wild-type protein versus the H57M mutant indicate that there is strong Asp-His interaction, which substantially lowers the pK(a) of Asp85 by stabilizing its deprotonated state.  相似文献   

8.
In the photocycle of bacteriorhodopsin (bR), light-induced transfer of a proton from the Schiff base to an acceptor group located in the extracellular half of the protein, followed by reprotonation from the cytoplasmic side, are key steps in vectorial proton pumping. Between the deprotonation and reprotonation events, bR is in the M state. Diverse experiments undertaken to characterize the M state support a model in which the M state is not a static entity, but rather a progression of two or more functional substates. Structural changes occurring in the M state and in the entire photocycle of wild-type bR can be understood in the context of a model which reconciles the chloride ion-pumping phenotype of mutants D85S and D85T with the fact that bR creates a transmembrane proton-motive force.  相似文献   

9.
Vertebrate rhodopsin shares with other retinal proteins the 11-cis-retinal chromophore and the light-induced 11-cis/trans isomerization triggering its activation pathway. However, only in rhodopsin the retinylidene Schiff base bond to the apoprotein is eventually hydrolyzed, making a complex regeneration pathway necessary. Metabolic regeneration cannot be short-cut, and light absorption in the active metarhodopsin (Meta) II intermediate causes anti/syn isomerization around the retinylidene linkage rather than reversed trans/cis isomerization. A new deactivating pathway is thereby triggered, which ends in the Meta III "retinal storage" product. Using time-resolved Fourier transform infrared spectroscopy, we show that the identified steps of receptor activation, including Schiff base deprotonation, protein structural changes, and proton uptake by the apoprotein, are all reversed. However, Schiff base reprotonation is much faster than the activating deprotonation, whereas the protein structural changes are slower. The final proton release occurs with pK approximately 4.5, similar to the pK of a free Glu residue and to the pK at which the isolated opsin apoprotein becomes active. A forced deprotonation, equivalent to the forced protonation in the activating pathway, which occurs against the unfavorable pH of the medium, is not observed. This explains properties of the final Meta III product, which displays much higher residual activity and is less stable than rhodopsin arising from regeneration with 11-cis-retinal. We propose that the anti/syn conversion can only induce a fast reorientation and distance change of the Schiff base but fails to build up the full set of dark ground state constraints, presumably involving the Glu(134)/Arg(135) cluster.  相似文献   

10.
Pharaonis phoborhodopsin (ppR, or pharaonis sensory rhodopsin II, NpsRII) is a sensor for the negative phototaxis of Natronomonas (Natronobacterium) pharaonis. Arginine 72 of ppR corresponds to Arg-82 of bacteriorhodopsin, which is a highly conserved residue among microbial rhodopsins. Using various Arg-72 ppR mutants, we obtained the following results: 1). Arg-72(ppR) together possibly with Asp-193 influenced the pK(a) of the counterion of the protonated Schiff base. 2). The M-rise became approximately four times faster than the wild-type. 3). Illumination causes proton uptake and release, and the pH profiles of the sequence of these two proton movements were different between R72A mutant and the wild-type; it is inferred that Arg-72 connects the proton transfer events occurring at both the Schiff base and an extracellular proton-releasing residue (Asp-193). 4). The M-decays of Arg-72 mutants were faster ( approximately 8-27 folds at pH 8 depending on mutants) than the wild-type, implying that the guanidinium prevents the proton transfer from the extracellular space to the deprotonated Schiff base. 5), The proton-pumping activities were decreased for mutants having increased M-decay rates, but the extent of the decrease was smaller than expected. The role of Arg-72 of ppR on the photochemistry was discussed.  相似文献   

11.
ESR from Exiguobacterium sibiricum is a retinal protein which functions as a proton pump. Unusual feature of ESR is that a lysine residue is present at a site for the internal proton donor, which in other proton pumps is a carboxylic residue. Replacement of Lys96 with alanine slows reprotonation of the Schiff base by two orders of magnitude, indicating that Lys96 and interacting water molecules function as internal proton donor to the Schiff base. In this work we examined time resolved generation of light-induced electric potential ΔΨ by the K96A mutant reconstituted into proteoliposomes. We found that the ΔΨ component, which accompanied reprotonation of the Schiff base in wild type ESR, was not only slowed but also decreased greatly in the mutant, and negative phase appeared at high pH. This indicates a higher probability of back reactions in ESR than in bacteriorhodopsin since no negative components have been observed in homologous mutants of BR, D96N and D96A. The higher rate of back reactions in ESR is probably caused by different arrangement of the proton acceptor site compared to that in BR and different sequence of proton release and uptake. Addition of sodium azide, which substitutes for the internal proton donor, restores both the rate and amplitude of the ΔΨ components related to the Schiff base reprotonation in the K96A mutant. This indicates that overall proton transport results from competition of forward and reverse reactions, and emphasizes the importance of internal donor for high efficiency and directionality of H+ transfer.  相似文献   

12.
The difference Fourier transform infrared spectrum for the N intermediate in the photoreaction of the light-adapted form of bacteriorhodopsin can be recorded at pH 10 at 274 K (Pfefferlé, J.-M., Maeda, A., Sasaki, J., and Yoshizawa, T. (1991) Biochemistry 30, 6548-6556). Under these conditions, Asp96-->Asn bacteriorhodopsin gives a photoproduct which shows changes in protein structure similar to those observed in N of wild-type bacteriorhodopsin. However, decreased intensity of the chromophore bands and the single absorbance maximum at about 400 nm indicate that the Schiff base is unprotonated, as in the M intermediate. This photoproduct was named MN. At pH 7, where the supply of proton is not as restricted as at pH 10, Asp96-->Asn bacteriorhodopsin yields N with a protonated Schiff base. The Asn96 residue, which cannot deprotonate as Asp96 in wild-type bacteriorhodopsin, is perturbed upon formation of both MN at pH 10 and N at pH 7. We suggest that the reprotonation of the Schiff base is preceded by a large change in the protein structure including perturbation of the residue at position 96.  相似文献   

13.
Continuous-flow resonance Raman experiments carried out in bacteriorhodopsin show that the exchange of a deuteron on the Schiff base with a proton takes place in times shorter than 3 ms. Exchange mechanisms based on a base-catalyzed deprotonation followed by reprotonation of the Schiff base are excluded. A mechanism is suggested in which a water molecule interacts directly with the Schiff base deuteron in a concerted exchange mechanism. It appears that in the dark, the binding site is more accessible to neutral water molecules than to charged protons.  相似文献   

14.
The pK(a) values of D85 in the wild-type and R82Q, as well as R82A recombinant bacteriorhodopsins, and the Schiff base in the D85N, D85T, and D85N/R82Q proteins, have been determined by spectroscopic titrations in the dark. They are used to estimate the coulombic interaction energies and the pK(a) values of the Schiff base, D85, and R82 during proton transfer from the Schiff base to D85, and the subsequent proton release to the bulk in the initial part of the photocycle. The pK(a) of the Schiff base before photoexcitation is calculated to be in effect only 5.3-5.7 pH units higher than that of D85; overcoming this to allow proton transfer to D85 requires about two thirds of the estimated excess free energy retained after absorption of a photon. The proton release on the extracellular surface is from an unidentified residue whose pK(a) is lowered to about 6 after deprotonation of the Schiff base (Zimanyi, L., G. Varo, M. Chang, B. Ni, R. Needleman, and J.K. Lanyi, 1992. Biochemistry. 31:8535-8543). We calculate that the pK(a) of the R82 is 13.8 before photoexcitation, and it is lowered after proton exchange between the Schiff base and D85 only by 1.5-2.3 pH units. Therefore, coulombic interactions alone do not appear to change the pK(a) of R82 as much and D85 only by 1.5-2.3 pH units. Therefore, coulombic interactions alone do not appear to change the pK(a) of R82 as much as required if it were the proton release group.  相似文献   

15.
The transfer of a proton from the retinal Schiff base to the nearby Asp85 protein group is an essential step in the directional proton-pumping by bacteriorhodopsin. To avoid the wasteful back reprotonation of the Schiff base from Asp85, the protein must ensure that, following Schiff base deprotonation, the energy barrier for back proton-transfer from Asp85 to the Schiff base is larger than that for proton-transfer from the Schiff base to Asp85. Here, three structural elements that may contribute to suppressing the back proton-transfer from Asp85 to the Schiff base are investigated: (i) retinal twisting; (ii) hydrogen-bonding distances in the active site; and (iii) the number and location of internal water molecules. The impact of the pattern of bond twisting on the retinal deprotonation energy is dissected by performing an extensive set of quantum-mechanical calculations. Structural rearrangements in the active site, such as changes of the Thr89:Asp85 distance and relocation of water molecules hydrogen-bonding to the Asp85 acceptor group, may participate in the mechanism which ensures that following the transfer of the Schiff base proton to Asp85 the protein proceeds with the subsequent photocycle steps, and not with back proton transfer from Asp85 to the Schiff base.  相似文献   

16.
Iwamoto M  Furutani Y  Kamo N  Kandori H 《Biochemistry》2003,42(10):2790-2796
pharaonis phoborhodopsin (ppR, also called pharaonis sensory rhodopsin II, psRII), a negative phototaxis receptor of Natronobacterium pharaonis, can use light to pump a proton in the absence of its transducer protein. However, the pump activity is much lower than that of the light-driven proton-pump bacteriorhodopsin (BR). ppR's pump activity is known to be increased in a mutant protein, in which Phe86 is replaced with Asp (F86D). Phe86 is the amino acid residue corresponding to Asp96 in BR, and we expect that Asp86 plays an important role in the proton transfer at the highly hydrophobic cytoplasmic domain of the F86D mutant ppR. In this article, we studied protein structural changes and proton transfer reactions during the photocycles of the F86D and F86E mutants in ppR by means of Fourier transform infrared (FTIR) spectroscopy and photoelectrochemical measurements using a tin oxide (SnO2) electrode. FTIR spectra of the unphotolyzed state and the K and M intermediates are very similar among F86D, F86E, and the wild type. Asp86 or Glu86 is protonated in F86D or F86E, respectively, and the pK(a) > 9. During the photocycle, the pK(a) is lowered and deprotonation of Asp86 or Glu86 is observed. Detection of both deprotonation of Asp86 or Glu86 and concomitant reprotonation of the 13-cis chromophore implies the presence of a proton channel between position 86 and the Schiff base. However, the photoelectrochemical measurements revealed proton release presumably from Asp86 or Glu86 to the cytoplasmic aqueous phase in the M state. This indicates that the ppR mutants do not have the BR-like mechanism that conducts a proton uniquely from Asp86 or Glu86 (Asp96 in BR) to the Schiff base, which is possible in BR by stepwise protein structural changes at the cytoplasmic side. In ppR, there is a single open structure at the cytoplasmic side (the M-like structure), which is shown by the lack of the N-like protein structure even in F86D and F86E at alkaline pH. Therefore, it is likely that a proton can be conducted in either direction, the Schiff base or the bulk, in the open M-like structure of F86D and F86E.  相似文献   

17.
18.
The phototaxis receptor sensory rhodopsin-I (SR-I) was genetically truncated in the COOH terminus which leads to overexpression in Halobacterium salinarium and was expressed in the presence and absence of its transducer, HtrI. Pyranine (8-hydroxyl-1,3,6-pyrene-trisulfonate) was used as a pH probe to show that proton release to the bulk phase results from the SR-I587 to S373 photoconversion, but only in the absence of transducer. The stoichiometry is 1 proton/S373 molecule formed. When SR-I is overexpressed in the presence of HtrI, the kinetics of the thermal return of S373 to SR-I587 is biphasic. A kinetic dissection indicates that overexpressed SR-I is present in two pools: one pool which generates an SR-I molecule possessing a normal (i.e., transducer-interacting) pH-independent rate of S373 decay, and a second pool which shows the pH-dependent kinetics of transducer-free S373 decay. The truncated SR-I receptor functions normally based on the following criteria: (i) Truncated SR-I restores phototaxis (attractant and repellent responses) when expressed in a strain lacking native SR-I, but containing HtrI. (ii) The absorption spectrum and the flash-induced absorption difference spectrum are indistinguishable from those of native SR-I. (iii) The rate of decay of S373 is pH-dependent in the absence of HtrI but not in the presence of HtrI. The data presented here indicate that a proton-conducting path exists between the protonated Schiff base nitrogen and the extramembranous environment in the transducer-free receptor, and transducer binding blocks this path.  相似文献   

19.
We produced the L intermediate of the photocycle in a bacteriorhodopsin crystal in photo-stationary state at 170 K with red laser illumination at 60% occupancy, and determined its structure to 1.62 A resolution. With this model, high-resolution structural information is available for the initial bacteriorhodopsin, as well as the first five states in the transport cycle. These states involve photo-isomerization of the retinal and its initial configurational changes, deprotonation of the retinal Schiff base and the coupled release of a proton to the extracellular membrane surface, and the switch event that allows reprotonation of the Schiff base from the cytoplasmic side. The six structural models describe the transformations of the retinal and its interaction with water 402, Asp85, and Asp212 in atomic detail, as well as the displacements of functional residues farther from the Schiff base. The changes provide rationales for how relaxation of the distorted retinal causes movements of water and protein atoms that result in vectorial proton transfers to and from the Schiff base.  相似文献   

20.
The gene coding for bacteriorhodopsin was modified in vitro to replace Asp212 with asparagine and expressed in Halobacterium halobium. X-ray diffraction measurements showed that the major lattice dimension of purple membrane containing the mutated bacteriorhodopsin was the same as wild type. At pH greater than 7, the Asp212----Asn chromophore was blue (absorption maximum at 585 nm) and exhibited a photocycle containing only the intermediates K and L, i.e. a reaction sequence very similar to that of wild-type bacteriorhodopsin at pH less than 3 and the blue form of the Asp85----Glu protein at pH less than 9. Since in the latter cases these effects are attributed to protonation of residue 85, it now appears that removal of the carboxylate of Asp212 has similar consequences as removing the carboxylate of Asp85. However, an important difference is that only Asp85 affects the pKa of the Schiff base. At pH less than 7, the Asp212----Asn protein was purple (absorption maximum at 569 nm) but photoexcitation produced only 15% of the normal amount of M and the transport activity was partial. The reactions of the blue and purple forms after photoexcitation are both quantitatively accounted for by a proposed scheme, K in equilibrium with L1 in equilibrium with L2----BR, but with the addition of an L1 in equilibrium with M reaction with unfavorable pKa for Schiff base deprotonation in the purple form. The latter hinders the transient accumulation of M, and the consequent branching at L1 allows only partial proton transport activity. The results are consistent with the existence of a complex counterion for the Schiff base proposed earlier (De Groot, H. J. M., Harbison, G. S., Herzfeld, J., and Griffin, R. G. (1989) Biochemistry 28, 3346-3353) and suggest that Asp85, Asp212, and at least one other protonable residue participate in it.  相似文献   

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