Characterization of a novel pH-sensitive peptide that enhances drug release from folate-targeted liposomes at endosomal pHs

Although liposomes have proven useful for the delivery of drugs and gene therapy vectors, their potencies are often compromised by poor unloading following uptake into their target cells. We have consequently explored the properties of a novel 29-residue amphipathic peptide that was designed by arrangement of hydrophobic and hydrophilic residues to disrupt liposomes at lower peptide concentrations than previously tested peptides. The peptide was indeed found to promote pH-dependent liposome unloading with improved efficiency. A peptide of the same sequence, but half the length, however, promoted pH-dependent permeabilization only at much higher concentrations. Further characterization of the longer peptide revealed that release of liposome contents (i) occurred at a pH of ∼6, (ii) became less efficient as the size of the encapsulated cargo increased, and (iii) was moderately suppressed in cholesterol-containing liposomes. Use of this peptide to enhance the cytotoxicity of cytosine arabinoside encapsulated in folate-targeted liposomes demonstrated an increase in drug potency of ∼30-fold. Gene expression by a serum-stable folate-targeted liposomal vector was also measurably enhanced by inclusion of the peptide. We conclude that intracellular unloading of liposomal contents can be significantly improved by co-encapsulation of an optimally designed, pH-sensitive peptide.     

Characterization of a novel pH-sensitive peptide that enhances drug release from folate-targeted liposomes at endosomal pHs

Although liposomes have proven useful for the delivery of drugs and gene therapy vectors, their potencies are often compromised by poor unloading following uptake into their target cells. We have consequently explored the properties of a novel 29-residue amphipathic peptide that was designed by arrangement of hydrophobic and hydrophilic residues to disrupt liposomes at lower peptide concentrations than previously tested peptides. The peptide was indeed found to promote pH-dependent liposome unloading with improved efficiency. A peptide of the same sequence, but half the length, however, promoted pH-dependent permeabilization only at much higher concentrations. Further characterization of the longer peptide revealed that release of liposome contents (i) occurred at a pH of approximately 6, (ii) became less efficient as the size of the encapsulated cargo increased, and (iii) was moderately suppressed in cholesterol-containing liposomes. Use of this peptide to enhance the cytotoxicity of cytosine arabinoside encapsulated in folate-targeted liposomes demonstrated an increase in drug potency of approximately 30-fold. Gene expression by a serum-stable folate-targeted liposomal vector was also measurably enhanced by inclusion of the peptide. We conclude that intracellular unloading of liposomal contents can be significantly improved by co-encapsulation of an optimally designed, pH-sensitive peptide.     

Coil-to-helix transition and ligand release of Bombyx mori pheromone-binding protein

The transport of hydrophobic insect pheromones through the aqueous medium surrounding their receptors is assisted by pheromone-binding proteins (PBPs). The protein from the silkworm moth Bombyx mori, BmorPBP, exhibits a pH-dependent conformational change postulated to trigger the release of the pheromone bombykol to its receptor. At low pH, an alpha-helix occupies the same binding pocket that houses the pheromone in the BmorPBP-bombykol complex at high pH. We have determined the crystal structure of apo BmorPBP at a resolution of 2.3 angstroms and pH 7.5, which has surprisingly a structure similar to the A-form. These data suggest that BmorPBP undergoes a ligand-dependent conformational change in addition to the previously described pH-dependent conformational change. Analysis of the alpha-helix occupying the binding pocket reveals an amphipathic helix with three acidic residues along one face that are conserved among lepidopteran PBPs and may be involved in a conformational transition of BmorPBP at the receptor membrane.     

Testing the limits of rational design by engineering pH sensitivity into membrane-active peptides

In this work, we sought to rationally design membrane-active peptides that are triggered by low pH to form macromolecular-sized pores in lipid bilayers. Such peptides could have broad utility in biotechnology and in nanomedicine as cancer therapeutics or drug delivery vehicles that promote release of macromolecules from endosomes. Our approach to rational design was to combine the properties of a pH-independent peptide, MelP5, which forms large pores allowing passage of macromolecules, with the properties of two pH-dependent membrane-active peptides, pHlip and GALA. We created two hybrid sequences, MelP5_Δ4 and MelP5_Δ6, by using the distribution of acidic residues on pHlip and GALA as a guide to insert acidic amino acids into the amphipathic helix of MelP5. We show that the new peptides bind to lipid bilayers and acquire secondary structure in a pH-dependent manner. The peptides also destabilize bilayers in a pH-dependent manner, such that lipid vesicles release the small molecules ANTS/DPX at low pH only. Thus, we were successful in designing pH-triggered pore-forming peptides. However, no macromolecular release was observed under any conditions. Therefore, we abolished the unique macromolecular poration properties of MelP5 by introducing pH sensitivity into its sequence. We conclude that the properties of pHlip, GALA, and MelP5 are additive, but only partially so. We propose that this lack of additivity is a limitation in the rational design of novel membrane-active peptides, and that high-throughput approaches to discovery will be critical for continued progress in the field.     

Tertiary structural changes associated with iron binding and release in hen serum transferrin: a crystallographic and spectroscopic study

The iron binding and release of serum transferrin are pH-dependent and accompanied by a conformational change between the iron-bound (holo-) and iron-free (apo-) forms. We have determined the crystal structure of apo-hen serum transferrin (hAST) at 3.5A resolution, which is the first reported structure to date of any full molecule of an apo-serum transferrin and studied its pH-dependent iron release by UV-vis absorption and near UV-CD spectroscopy. The crystal structure of hAST shows that both the lobes adopt an open conformation and the relative orientations of the domains are different from those of apo-human serum transferrin and human apolactoferrin but similar to that of hen apo-ovotransferrin. Spectroscopic analysis reveals that in hen serum transferrin, release of the first iron starts at a pH approximately 6.5 and continues over a broad pH range (6.5-5.2). The complete release of the iron, however, occurs at pH approximately 4.0. The near UV-CD spectra show alterations in the microenvironment of the aromatic residues surrounding the iron-binding sites.     

Molecular studies of pH-dependent ligand interactions with the low-density lipoprotein receptor

The release of ligand from the low-density lipoprotein receptor (LDLR) has been postulated to involve a "histidine switch"-induced intramolecular rearrangement that discharges bound ligand. A recombinant soluble low-density lipoprotein receptor (sLDLR) was employed in ligand binding experiments with a fluorescently tagged variant apolipoprotein E N-terminal domain (apoE-NT). Binding was monitored as a function of fluorescence resonance energy transfer (FRET) from excited Trp residues in sLDLR to an extrinsic fluorophore covalently attached to Trp-null apoE3-NT. In binding experiments with wild-type (WT) sLDLR, FRET-dependent AEDANS fluorescence decreased as the pH was lowered. To investigate the role of His190, His562, and His586 in sLDLR in pH-dependent ligand binding and discharge, site-directed mutagenesis studies were performed. Compared to WT sLDLR, triple His --> Ala mutant sLDLR displayed attenuated pH-dependent ligand binding and a decreased level of ligand release as a function of low pH. When these His residues were substituted for Lys, the positively charged side chain of which does not ionize over this pH range, ligand binding was nearly abolished at all pH values. When sequential His to Lys mutants were examined, the evidence suggested that His562 and His586 function cooperatively. Whereas the sedimentation coefficient for WT sLDLR increased when the pH was reduced from 7 to 5, no such change occurred in the case of the triple Lys mutant receptor or a His562Lys/His586Lys double mutant receptor. The data support the existence of a cryptic, histidine side chain ionization-dependent alternative ligand that modulates ligand discharge via conformational reorganization.     

Halide-selective,proton-coupled anion transport by phenylthiosemicarbazones

Phenylthiosemicarbazones (PTSCs) are proton-coupled anion transporters with pH-switchable behaviour known to be regulated by an imine protonation equilibrium. Previously, chloride/nitrate exchange by PTSCs was found to be inactive at pH 7.2 due to locking of the thiourea anion binding site by an intramolecular hydrogen bond, and switched ON upon imine protonation at pH 4.5. The rate-determining process of the pH switch, however, was not examined. We here develop a new series of PTSCs and demonstrate their conformational behaviour by X-ray crystallographic analysis and pH-switchable anion transport properties by liposomal assays. We report the surprising finding that the protonated PTSCs are extremely selective for halides over oxyanions in membrane transport. Owing to the high chloride over nitrate selectivity, the pH-dependent chloride/nitrate exchange of PTSCs originates from the rate-limiting nitrate transport process being inhibited at neutral pH.     

Role of the buried glutamate in the alpha-helical coiled coil domain of the macrophage scavenger receptor

The macrophage scavenger receptor exhibits a pH-dependent conformational change around the carboxy-terminal half of the alpha-helical coiled coil domain, which has a representative amino acid sequence of a (defgabc)n heptad. We previously demonstrated that a peptide corresponding to this region formed a random coil structure at pH 7 and an alpha-helical coiled coil structure at pH 5 [Suzuki, K., Doi, T., Imanishi, T., Kodama, T., and Tanaka, T. (1997) Biochemistry 36, 15140-15146]. To determine the amino acid responsible for the conformational change, we prepared several peptides in which the acidic amino acids were replaced with neutral amino acids. Analyses of their structures by circular dichroism and sedimentation equilibrium gave the result that the presence of Glu242 at the d position was sufficient to induce the pH-dependent conformational change of the alpha-helical coiled coil domain. Furthermore, we substituted a Glu residue for the Ile residue at the d or a position of a de novo designed peptide (IEKKIEA)4, which forms a highly stable triple-stranded coiled coil. These peptides exhibited a pH-dependent conformational change similar to that of the scavenger receptor. Therefore, we conclude that a buried Glu residue in the hydrophobic core of a triple-stranded coiled coil has the potential to induce the pH-dependent conformational change. This finding makes it possible to elucidate the functions of natural proteins and to create a de novo protein designed to undergo a pH-dependent conformational change.     

Mycobacterium tuberculosis ESAT-6 Exhibits a Unique Membrane-interacting Activity That Is Not Found in Its Ortholog from Non-pathogenic Mycobacterium smegmatis

Mycobacterium tuberculosis ESAT-6 (MtbESAT-6) reportedly shows membrane/cell-lysis activity, and recently its biological roles in pathogenesis have been implicated in rupture of the phagosomes for bacterial cytosolic translocation. However, molecular mechanism of MtbESAT-6-mediated membrane interaction, particularly in relation with its biological functions in pathogenesis, is poorly understood. In this study, we investigated the pH-dependent membrane interaction of MtbESAT-6, MtbCFP-10, and the MtbESAT-6/CFP-10 heterodimer, by using liposomal model membranes that mimic phagosomal compartments. MtbESAT-6, but neither MtbCFP-10 nor the heterodimer, interacted with the liposomal membranes at acidic conditions, which was evidenced by release of K⁺ ions from the liposomes. Most importantly, the orthologous ESAT-6 from non-pathogenic Mycobacterium smegmatis (MsESAT-6) was essentially inactive in release of K⁺. The differential membrane interactions between MtbESAT-6 and MsESAT-6 were further confirmed in an independent membrane leakage assay using the dye/quencher pair, 8-aminonapthalene-1,3,6 trisulfonic acid (ANTS)/p-xylene-bis-pyridinium bromide (DPX). Finally, using intrinsic and extrinsic fluorescence approaches, we probed the pH-dependent conformational changes of MtbESAT-6 and MsESAT-6. At acidic pH conditions, MtbESAT-6 underwent a significant conformational change, which was featured by an increased solvent-exposed hydrophobicity, while MsESAT-6 showed little conformational change in response to acidification. In conclusion, we have demonstrated that MtbESAT-6 possesses a unique membrane-interacting activity that is not found in MsESAT-6 and established the utility of rigorous biochemical approaches in dissecting the virulence of M. tuberculosis.     

pH dependent conformational changes in the T- and R-states of insulin in solution: circular dichroic studies in the pH range of 6 to 10.

Zinc insulin hexamer has been shown to undergo a phenol-induced T6 to R6 conformational transition in solution. Our circular dichroic (CD) studies demonstrate that insulin undergoes pH-dependent conformational changes over the pH range of 6-10 in the T-state and in the R- state. In order to determine which specific amino acid residues may be responsible for these pH-dependent changes, a series of insulin analogs were utilized. In the T-state, the pH dependent CD changes monitored in the far UV region have a pK of 8.2 and appear to be related to the titration of the A1-Gly amino group. Using the near UV CD a second pH-dependent conformational change was detected with a pK of 7.5 in the T-state. 1H N.M.R. studies suggest that B5-His may be responsible for this conformational transition. In the presence of m-cresol (R-state), the pK value was found to be 6.9. During this titration, the increased ellipticity for the R-state is diminishing as pH decreases from pH 8 to 6, and no difference in ellipticity was observed at 255 nm between T- and R-states at pH 6. Therefore, this may be due to the transition from the R back to the T-state.     

NMR structures of the histidine-rich peptide LAH4 in micellar environments: membrane insertion, pH-dependent mode of antimicrobial action, and DNA transfection

The LAH4 family of histidine-rich peptides exhibits potent antimicrobial and DNA transfection activities, both of which require interactions with cellular membranes. The bilayer association of the peptides has been shown to be strongly pH-dependent, with in-planar alignments under acidic conditions and transmembrane orientations when the histidines are discharged. Therefore, we investigated the pH- and temperature-dependent conformations of LAH4 in DPC micellar solutions and in a TFE/PBS solvent mixture. In the presence of detergent and at pH 4.1, LAH4 adopts helical conformations between residues 9 and 24 concomitantly with a high hydrophobic moment. At pH 6.1, a helix-loop-helix structure forms with a hinge encompassing residues His¹⁰-Ala¹³. The data suggest that the high density of histidine residues and the resulting electrostatic repulsion lead to both a decrease in the pK values of the histidines and a less stable α-helical conformation of this region. The hinged structure at pH 6.1 facilitates membrane anchoring and insertion. At pH 7.8, the histidines are uncharged and an extended helical conformation including residues 4-21 is again obtained. LAH4 thus exhibits a high degree of conformational plasticity. The structures provide a stroboscopic view of the conformational changes that occur during membrane insertion, and are discussed in the context of antimicrobial activity and DNA transfection.     

Interstrand loops CD and EF act as pH-dependent gates to regulate fatty acid ligand binding in tear lipocalin

Tear lipocalin (TL), a major component of human tears, shows pH-dependent endogenous ligand binding. The structural and conformational changes associated with ligand release in the pH range of 7.5-3.0 are monitored by circular dichroism spectroscopy and site-directed tryptophan fluorescence. In the transition from pH 7.5 to pH 5.5, the ligand affinity for 16-(9-anthroyloxy)palmitic acid (16AP) and 8-anilino-1-naphthalenesulfonic acid is reduced. At pH 4.0 these ligands no longer bind within the TL calyx. From pH 7.3 to pH 3.0, the residues on loops CD and EF, which overhang the calyx entrance, show reduced accessibility to acrylamide. In addition resonance energy transfer is enhanced between residues on the two loops; the distance between the loops narrows. These findings suggest that apposition of the loops at low pH excludes the ligand from the intracavitary binding site. The conformational changes observed in transition from pH 7.3 to pH 3.0 for loops CD and EF are quite different. The CD loop shows less population reshuffling than the EF loop with an acidic environment, probably because backbone motion is restrained by the adjacent disulfide bond. The Trp fluorescence wavelength maximum (lambda(max)) reflects internal electrostatic interactions for positions on loops CD and EF. The titration curves of lambda(max) for mutants on the EF loop fit the Hendersen-Hasselbalch equation for two apparent pK(a) values, while the CD loop positions fit satisfactorily with one pK(a) value. Midpoints of transition for the binding affinity of TL tryptophan mutants to 16AP occur at pH 5.5-6.1. Replacement of each amino acid on either loop by single tryptophan mutation does not disrupt the pH-dependent binding affinity to 16AP. Taken together the data suggest that pH-driven ligand release involves ionization changes in several titratable residues associated with CD and EF loop apposition and occlusion of the calyx.     

Chemical reactivity of brome mosaic virus capsid protein

Viral particles are biological machines that have evolved to package, protect, and deliver the viral genome into the host via regulated conformational changes of virions. We have developed a procedure to modify lysine residues with S-methylthioacetimidate across the pH range from 5.5 to 8.5. Lysine residues that are not completely modified are involved in tertiary or quaternary structural interactions, and their extent of modification can be quantified as a function of pH. This procedure was applied to the pH-dependent structural transitions of brome mosaic virus (BMV). As the reaction pH increases from 5.5 to 8.5, the average number of modified lysine residues in the BMV capsid protein increases from 6 to 12, correlating well with the known pH-dependent swelling behavior of BMV virions. The extent of reaction of each of the capsid protein's lysine residues has been quantified at eight pH values using coupled liquid chromatography-tandem mass spectrometry. Each lysine can be assigned to one of three structural classes identified by inspection of the BMV virion crystal structure. Several lysine residues display reactivity that indicates their involvement in dynamic interactions that are not obvious in the crystal structure. The influence of several capsid protein mutants on the pH-dependent structural transition of BMV has also been investigated. Mutant H75Q exhibits an altered swelling transition accompanying solution pH increases. The H75Q capsids show increased reactivity at lysine residues 64 and 130, residues distal from the dimer interface occupied by H75, across the entire pH range.     

Composition of pH-sensitive triad in C-lobe of human serum transferrin. Comparison to sequences of ovotransferrin and lactoferrin provides insight into functional differences in iron release

The transferrins (TF) are a family of bilobal glycoproteins that tightly bind ferric iron. Each of the homologous N- and C-lobes contains a single iron-binding site situated in a deep cleft. Human serum transferrin (hTF) serves as the iron transport protein in the blood; circulating transferrin binds to receptors on the cell surface, and the complex is internalized by endocytosis. Within the cell, a reduction in pH leads to iron release from hTF in a receptor-dependent process resulting in a large conformational change in each lobe. In the hTF N-lobe, two critical lysines facilitate this pH-dependent conformational change allowing entry of a chelator to capture the iron. In the C-lobe, the lysine pair is replaced by a triad of residues: Lys534, Arg632, and Asp634. Previous studies show that mutation of any of these triad residues to alanine results in significant retardation of iron release at both pH 7.4 and pH 5.6. In the present work, the role of the three residues is probed further by conversion to the residues observed at the equivalent positions in ovotransferrin (Q-K-L) and human lactoferrin (K-N-N) as well as a triad with an interchanged lysine and arginine (K534R/R632K). As expected, all of the constructs bind iron and associate with the receptor with nearly the same K(D) as the wild-type monoferric hTF control. However, interesting differences in the effect of the substitutions on the iron release rate in the presence and absence of the receptor at pH 5.6 are observed. Additionally, titration with KCl indicates that position 632 must have a positively charged residue to elicit a robust rate acceleration as a function of increasing salt. On the basis of these observations, a model for iron release from the hTF C-lobe is proposed. These studies provide insight into the importance of charge and geometry of the amino acids at these positions as a partial explanation for differences in behavior of individual TF family members, human serum transferrin, ovotransferrin, and lactoferrin. The studies collectively highlight important features common to both the N- and C-lobes of TF and the critical role of the receptor in iron release.     

Calculating pKa values in the cAMP-dependent protein kinase: the effect of conformational change and ligand binding

The conformational change observed upon ligand binding and phosphorylation for the cAMP-dependent protein kinase (protein kinase A-PKA) is of high importance for the regulation of its activity. We calculate pKa values and net charges for 18 3D structures of PKA in various conformations and liganded states to examine the role of electrostatics in ligand binding and activation. We find that the conformational change of PKA takes place without any significant net proton uptake/release at all pH values, thus indicating that PKA has evolved to reduce any pH-dependent barriers to the conformational motion. We furthermore find that the binding of ligands induces large changes in the net charge of PKA at most pH values, but significantly, we find that the net charge difference at physiological pH is close to zero, thus indicating that the active-site pKa values have been preorganized for substrate binding. We are unable to unequivocally resolve the identity of the groups responsible for determining the pH-activity profile of PKA but speculate that the titration of Lys 168 or the titration of ATP itself could be responsible for the loss of activity at high pH values. Finally, we examine the effect of point mutations on the pKa values of the PKA catalytic residues and find these to be relatively insensitive to both noncharge-altering and charge-altering mutations.     

A structural basis for the pH-dependence of cofilin. F-actin interactions.

A marked pH-dependent interaction with F-actin is an important property of typical members of the actin depolymerizing factor (ADF)/cofilin family of abundant actin-binding proteins. ADF/cofilins tend to bind to F-actin with a ratio of 1 : 1 at pH values around 6.5, and to G-actin at pH 8.0. We have investigated the mechanism for the pH-sensitivity. We found no evidence for pH-dependent changes in the structure of cofilin itself, nor for the interaction of cofilin with G-actin. None of the actin-derived, cofilin-binding peptides that we had previously identified [Renoult, C., Ternent, D., Maciver, S.K., Fattoum, A., Astier, C., Benyamin, Y. & Roustan, C. (1999) J. Biol. Chem. 274, 28893-28899] bound cofilin in a pH-sensitive manner. However, we have detected a conformational change in region 75-105 in the actin subdomain 1 by the use of a peptide-directed antibody. A pH-dependent conformational change has also been detected spectroscopically in a similar peptide (84-103) on binding to cofilin. These results are consistent with a model in which pH-dependent motion of subdomain 1 relative to subdomain 2 (through region 75-105) of actin reveals a second cofilin binding site on actin (centered around region 112-125) that allows ADF/cofilin association with the actin filament. This motion requires salt in addition to low pH.     

NMR studies and semi-empirical energy calculations for cyclic ADP-ribose

A possible pH-dependent conformational switch was investigated for cyclic ADP-ribose. NMR signals for the exchangeable protons were observed in H2O at low temperature, but there was no direct evidence for the protonation of N-3 at neutral pH that has previously been postulated. MNDO calculations indicated that pH dependent 31P chemical shift changes are attributable to protonation of the phosphate adjacent to the N-1 of adenine, and not due to trans-annular hydrogen bonding with a protonated N-3.     

Change in pH-dependent membrane insertion characteristics of trichosanthin caused by deletion of its last seven C-terminal amino acid residues

Trichosanthin (TCS) is a type I ribosome-inactivating protein (RIP) that can selectively kill some types of cells at low concentration (0.1-1 nM). The pH-dependent membrane insertion ability of TCS makes it possible that the internalized toxin avoids degradation in lysosomes and further undergoes transportation into the cytosol by some still unidentified mechanism. Here, we show that deletion of C-terminal residues affects interactions of modified TCS (C7-TCS) with lipids and reduces its pH-dependent membrane insertion ability. Fluorescence measurements indicate that at low pH C7-TCS undergoes profound conformational changes that causes exposure of a hydrophobic region and leads to oligomerization of the C7-TCS molecules. The results suggest that the membrane insertion of TCS at low pH might be important for translocation of TCS into the cytosol, which is important for exertion of the RIP activity of TCS. Deletion of the last seven C-terminal residues of TCS would reduce both its RIP activity in vitro and cytotoxicity in vivo, with the degree of decrease being more significant for the cytotoxicity in vivo.     

Elucidation of the nature of the conformational changes of the EF-interhelical loop in bacteriorhodopsin and of the helix VIII on the cytoplasmic surface of bovine rhodopsin: a time-resolved fluorescence depolarization study

The conformation of the AB-loop and EF-loop of bacteriorhodopsin and of the fourth cytoplasmic loop (helix VIII) of bovine rhodopsin were assessed by a combination of time-resolved fluorescence depolarization and site-directed fluorescence labeling. The fluorescence anisotropy decays were measured employing a tunable Ti:sapphire laser/microchannel plate based single-photon counting apparatus with picosecond time resolution. This method allows measurement of the diffusional dynamics of the loops directly on a nanosecond time-scale. We implemented the method to study model peptides and two-helix systems representing sequences of bacteriorhodopsin. Thus, we systematically analyzed the anisotropic behavior of four different fluorescent dyes covalently bound to a single cysteine residue on the protein surface and assigned the anisotropy decay components to the modes of motion of the protein and its segments. We have identified two mechanisms of loop conformational changes in the functionally intact proteins bacteriorhodopsin and bovine rhodopsin. First, we found a surface potential-dependent transition between two conformational states of the EF-loop of bacteriorhodopsin, detected with the fluorescent dye bound to position 160. A transition between the two conformational states at 150mM KCl and 20 degrees C requires a surface potential change that corresponds to Deltasigma approximately -1.0e(-)/bacteriorhodopsin molecule. We suggest, that the surface potential-based switch of the EF-loop is the missing link between the movement of helix F and the transient surface potential change detected during the photocycle of bacteriorhodopsin. Second, in the visual pigment rhodopsin, with the fluorescent dye bound to position 316, a particularly striking pH-dependent conformational change of the fourth loop on the cytoplasmic surface was analyzed. The loop mobility increased from pH 5 to 8. The midpoint of this transition is at pH 6.2 and correlates with the midpoint of the pH-dependent equilibrium between the active metarhodopsin II and the inactive metarhodopsin I state.