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* Laser Laboratory for Fast Reactions in Biology, Department of Biochemistry, Tel Aviv University, Israel;
Department of Biophysics, Technical University of Darmstadt, Darmstadt, Germany; and
the Max-Planck-Institute for Biochemistry, Martinsried, Germany
Correspondence: Address reprint requests to Menachem Gutman, George S. Wise Faculty of Life Sciences, Tel Aviv University, Ramat Aviv 69978, Israel. Phone 972-3-640-9875; Fax: 972-3-640-6834; E-mail: me{at}hemi.tau.ac.il.
| ABSTRACT |
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-function release of protons to the bulk, the system was seen to regain its state of equilibrium within a few hundreds of microseconds. These measurements set the time frame for the relaxation of any state of acid-base disequilibrium between the bacteriorhodopsin's surface and the bulk. It was also deduced that the released protons react with the various proton binding within less than 10 µs. In the present study, we monitored the photocycle and the proton-cycle of photo-excited bacteriorhodopsin, in the absence of added buffer, and calculated the proton balance between the Schiff base and the bulk phase in a time-resolved mode. It was noticed that the late phase of the M decay (beyond 1 ms) is characterized by a slow (subsecond) relaxation of disequilibrium, where the Schiff base is already reprotonated but the pyranine still retains protons. Thus, it appears that the protonation of D96 is a slow rate-limiting process that generates a "proton hole" in the cytoplasmic section of the protein. The velocity of the hole propagation is modulated by the ionic strength of the solution and by selective replacements of charged residues on the interhelical loops of the protein, at domains that seems to be remote from the intraprotein proton conduction trajectory. | INTRODUCTION |
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410 nm, characterizing the deprotonated state of the Schiff base. During the transition between the substates of the M intermediates (M1, M2) (Lanyi, 1992
In the present study we shall refer to the deprotonated state of D96 as a "proton hole," and study how a proton coming from the bulk is filling up this deficit. Reprotonation of D96 occurs during or after the N-intermediate, yet this carboxylate is so far from the Schiff base that its protonation state does not affect the protein's absorption spectrum. Therefore, reprotonation of D96 cannot be directly observed by visible absorption spectroscopy but inferred from monitoring the proton abstraction from the bulk phase using a pH indicator. The most probable proton donor to D96 is D38, which in its turn is protonated by D36, a residue that is fully exposed to the bulk. The distance between these proton binding sites is
12 Å for the initial step, D96
Schiff base,
9.5 Å for D38
D96, and 6.3Å for the proton transfer from D36 to D38. The reaction of D36 with bulk protons is a fast, diffusion-controlled reaction. The mechanism of the proton propagation along this set of temporary proton binding sites is the subject of the present study.
As will be shown below, the hole propagation toward the cytoplasmic surface caused by deprotonation of D96 is a rather slow process, lasting in some mutants up to 1 s. Such a slow passage implies that the rate-limiting step of the reaction is a structural fluctuation in the protein, leading through one or more steps to the protonation of D96 at the expense of deprotonation of D38 (Riesle et al., 1996
), which is located near the cytoplasmic surface. The protonation of D38 is a fast and complex reaction, where both D36 and a cluster of three carboxylates on the cytoplasmic surface (D104, E161, and E234; Checover et al., 2001
, 1997
) assist in the reaction. Thus, it appears that the protein's surface does not only serve as a coating of the protein's functional matrix, but itself functions as an active element by bulk-surface proton transfer reactions.
The indicator of choice for monitoring the dynamics of bulk-surface proton transfer is pyranine (
OH) that, due to its negative charge (Z = -3 or -4, depending on its state of protonation) is not adsorbed to the net negatively charged purple membrane's surface. Pyranine is also an efficient excited-state proton emitter, suitable for perturbing the bulk-surface protonation equilibrium by injecting free protons into the solution (Checover et al., 2001
, 1997
; Nachliel et al., 1997
; Sacks et al., 1998
).
The process of proton transfer between the protein's surface and the mobile indicator in the bulk follows two pathways. One process consists of dissociation of the proton from a donor residue and its diffusion-controlled reaction with various acceptors. In most cases, the rate-limiting step of this pathway is the dissociation of the proton donor. The alternative mechanism, which operates in parallel, is a collisional proton-transfer reaction between the pyranine molecule and the membrane surface. The rate-limiting step for this mechanism is the collision between the reactants (Gutman and Nachliel, 1995
). The velocity of the collisional pathway varies with the concentration of the reactants, their diffusivity, and the accessibility of the protonated sites on the protein. In previous studies (Checover et al., 2001
; Yaniv-Checover, 2002
) we investigated the rate constants of the two pathways and concluded that, through the operation of the two pathways, the equilibrium between the bulk and the surface of bacteriorhodopsin is fully established within 100200 µs. The relative dominance of each pathway varies with time as a function of the reactants' concentrations. A high concentration of either an indicator or a mobile buffer enhances the contribution of the collisional mechanism to the overall rate of reaction. The analysis of the proton pulse experiments yielded the rate constants for proton transfer reactions between pyranine and the various proton-binding sites of bacteriorhodopsin. Accordingly, these very same rate constants can determine the proton exchange reactions between the pyranine and the protein during the photocycle.
In the present study, we focused our attention on the last steps of the catalytic cycle, and noticed a slow relaxation of a state of disequilibrium between two well-defined chromophores: the unprotonated Schiff base (monitored at 412 nm) and the protonated pyranine in the bulk (monitored at 458 nm). For a rather long time (10100 ms), the amount of protons, stored in the form of
OH, exceeded the capacity of the deprotonated Schiff base to accept them. The relaxation of the disequilibrium was orders-of-magnitude longer than the bulk-surface equilibration time, suggesting that the rate-limiting step of the relaxation was associated with an intraprotein proton transfer reaction from a bulk-accessible donor to the deprotonated D96. To indicate that the mechanism of this reaction is the compensation of a deprotonated reservoir located inside the protein by a donor that is in equilibrium with the bulk, we refer to the process as proton-hole propagation to the cytoplasmic surface of the protein. The protein matrix is spaced between D96 and D38 and consists of hydrophobic residues through which the proton must propagate; it was termed "hydrophobic gate" (Dencher et al., 1992
).
The slow proton-hole propagation was detected with the WT protein, and in a more pronounced mode, with some mutants in which charged surface residues, located far from the proton-pumping channel, were mutated to uncharged ones. These observations indicate that a minor modulation of the charge distribution on the exposed loops connecting the transmembrane helices is sufficient to cause aberrations in the conformational changes that are essential for the normal operation of the photocycle. To validate whether replacement of a charged residue on the loops can alter the structure of the protein, the very same mutants, whose photocycle was measured, were subjected to a brief proton pulse and the µs reprotonation dynamics of the pyranine anion was subjected to a rigorous kinetic analysis (Checover et al., 2001
). These experiments demonstrate that the mutations affect the pK values and the kinetic properties of the bacteriorhodopsin's proton-binding sites while still in its BR ground state.
| MATERIALS AND METHODS |
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Photocycle measurements
The purple membranes were kept frozen (-80°C) in a solution containing buffer and reducing agent to prevent the oxidation of the cysteine. Before use, the membranes were washed three times by centrifugation using either ultra-pure water or 150 mM KCl. The membranes were then dispersed to a final concentration of 0.10.4 mg/ml.
The measurements were carried out within 2 h of the washing procedure in the presence of 20 µM pyranine, pH = 7.5, at 25°C.
The extinction coefficients used for calculating the concentrations of the pyranine and the BR state were 20,000 M-1cm-1 (459 nm) and 63,000 M-1cm-1 (568 nm), respectively. The differential extinction coefficient for the M state (
M
BR)412nm was taken as 34,300 M-1cm-1.
Proton pulse measurements
The experiment consists of a
-function perturbation of the acid-base equilibrium in the membrane suspension, attained by a UV laser pulse. (For details, see Checover et al., 2001
, 1997
.) Following the relaxation of the dye to the ground state (
5 ns), the system is poised in a temporary state of disequilibrium, wherein both free protons and
O- concentrations are above the equilibrium level, while the
OH population is transiently depleted. This initial perturbation propagates to all other proton-binding sites present in the pulsed solution through diffusion-controlled reactions with the photo-dissociation products (H+ and
O-). The response of the system to the perturbation proceeds through many parallel pathways, where the velocity of each reaction is determined by the concentrations of the reactants and the respective rate constants. The kinetic and stoichiometric coupling between all reactants implies that a followup of one reactant would yield information concerning the state of protonation of all others.
Proteins, as polyelectrolytes, are thermodynamically coupled, and the charging of any site affects the pK value of all others (Tanford, 1957
; Tanford and Roxby, 1972
). Thus, when a large proton pulse challenges a protein, its thermodynamic and kinetic characteristics may vary during the reaction time. To avoid these complications, the experiments were carried out under strict restrictions where the incremental proton concentration was smaller than the total protein concentration, ensuring that each protein molecule reacts with no more than a single proton.
The instrumental setup for the photocycle and proton transfer measurements
The optical geometry and electronic setup were as previously described in Checover et al. (2001)
. Pyranine (8-hydroxy-pyrene-1,3,6-trisulfonate, laser grade) was purchased from Eastman Kodak (Rochester, NY).
Preparation of the sample
Purple membranes were extensively washed with pure water by three repeated centrifugations to remove buffers and the reductant. Finally the membrane was suspended as a concentrated suspension, either in water or in 150 mM KCl, and diluted to the desired concentration inside the measuring cell.
The proton pulse experiments were carried out within 2 h of the washing procedure, using varying concentrations of protein (320 µM with respect to the retinal concentration) or pyranine (2030 µM) at 25°C. The pH of the measurements was varied within the pH range of 68 and at each pH, the kinetics were measured both at 4 and 20 µs/div. The measured signals are an average of 1024 traces.
Kinetic analysis of the absorbance signals after Laser Induced Proton Pulse Method
The experimental curves were analyzed by a detailed reconstruction of the dynamics of all chemical reactions that are affected by the acid-base perturbation. (For details, see Checover et al., 2001
.)
| RESULTS |
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< 100 µs), while the decay is significantly slower and extends over the ms time range. Fig. 1 B depicts the transient protonation of the pyranine anion, added to the solution as a pH indicator. In the absence of another proton acceptor, any proton released from the protein should be present either as a free diffusing one bound to the dye, or to some residues on the PM. As will be shown below, after a
-function proton pulse, the free proton concentration relaxes to the prepulse level within a few µs. As the photocycle lasts many ms, the contribution of the free protons to the total proton balance is limited to the most initial phase of the observation and at any time point later than a few µs, the free proton concentration can be ignored.
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50% of the protons released from the Schiff base reacted with the indicator during the photocycle, whereas the rest of the released protons reacted with the various proton-binding sites on the protein's surface. Due to these reactions, which affect the
O- concentration but not the protonation state of the Schiff base, the time constants of the pyranine's protonation and the dynamics of the M state are not the same. Repetition of the same experiment in the presence of a screening electrolyte (150 mM KCl; see Fig. 1 A, dashed line) demonstrates that the BR and the M dynamics are unaffected by the addition of the electrolyte, yet the amount of protonated pyranine (Fig. 1 B) was significantly increased: up to
70% with respect to the amount of protons released from the Schiff base. It should be mentioned that in absorbance measurements, the protonation of the pyranine is recorded as a decrement of the
O- concentration. For this reason, the transient protonation of the pyranine is presented with the polarity of the experimental observations, as a negative signal. The ratio of the time constants of the kinetics of protonation and deprotonation of pyranine in water and in salt reflects the easier dispersion of protons between the surface and the bulk, leading to a twice-faster protonation and a twice-slower deprotonation of pyranine in 150 mM KCl as compared to the measurements in water. The apparent enhancement is attributed to ionic screening that facilitates the dispersion of the protons from the surface toward the bulk. Thus, whereas the quantitation of the amount of moles of protein that had lost their Schiff base's protons is feasible, a positive identification of the protonated sites on the protein, except for the Schiff base, is unattainable.
In the present study, we shall focus on the comparison between the residual concentration of the nonprotonated Schiff base (M(t) measured at 412 nm), and the increment of the protonated pyranine at the same time point (
OH(t)). Examination of the residuals at the 10-ms time point reveals that, whereas the reprotonation of the Schiff base is almost identical in the absence or presence of the screening electrolyte (M(t) = 0.33 and 0.38 µM, respectively), the residual
OH at that time is significantly higher than the residual M state, and the discrepancy increases in the presence of a screening electrolyte, 0.6 and 1.4 µM of
OH, respectively. Namely, the reprotonation of the Schiff base proceeds faster than the proton transfer from the bulk to the protein.
The discrepancy between the two measured parameters 
OHt and
Mt is best demonstrated in frame C, where the incremental concentration of protonated pyranine at time t (
OHt), divided by the amount of protons missing at that time point from the Schiff base (
Mt) is plotted as a function of time. In the short time range, where both amplitudes are small, the ratio is close to zero and exhibits a large noise. With time, the ratio become large and the curve is much smoother. With longer time, the ratio declines and fades into a noisy region, where both parameters become small. Once the ratio is higher than 1, the number of protons released from the Schiff base exceeds the number of deprotonated Schiff base present in the solution. Considering the mass conservation law, we must conclude that, at that time range, the Schiff base had been already protonated by D96, yet the local proton deficit had not been compensated by a bulk proton. When measured in water, the ratio 
OHt/
Mt is as large as
1.6 and attains its maximal value at
10 ms. In the presence of a screening electrolyte, it is as high as 5.7 and the maximum is slightly delayed in time.
It should be emphasized that our previous studies on the rate of bulk surface equilibration revealed that an acid-base disequilibrium between the two phases relaxes within less than 250 µs (Checover et al., 2001
; and see below). Consequently, the temporal discrepancy between the residual kinetics of M(t) and
OH(t) should be interpreted by implicating the rate of the intraprotein proton transfer as the cause for the transient disequilibrium.
Time-resolved measurements of bulk-surface proton transfer reactions
The transient protonation of WT bacteriorhodopsin was measured by Laser Induced Proton Pulse Method (LIPPME) in the presence and absence of 150 mM KCl, and subjected to a kinetic analysis. The analysis is consistent with the dynamics calculated for the presence of five proton attractors, namely the pyranine anion, the carboxylates of D36 and D38 (these residues differ in their rate constants and pK values), a cluster of three carboxylates present on the cytoplasmic surface of the membrane, and a single carboxylate located on the extracellular surface (for details, see Checover et al., 2001
).
The rate constants and pK values of the proton binding sites, measured either in pure water or in 150 mM KCl, are listed in Table 1.
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25%, the diffusion-controlled reactions between the free protons and the dye, and the carboxylates' cluster on the cytoplasmic surface. This effect is readily explained by the screening effect that lowers the electrostatic attraction between the free proton and the negatively charged acceptor. In parallel, the rate constants of the collisional proton transfer between the cluster and the pyranine anion increased by 25%. This effect is also in accord with the expected effect of the ionic screening on the encounter of the pyranine molecule (Z = -3; -4 depending on its state of protonation) with the negatively charged protein's surface. The rate constants characterizing the external carboxylate residue remain constant. Please note that the site identified as D38 has a somewhat limited accessibility to free proton and it hardly reacts with the pyranine anion. Yet, even a rate constant of 4 x 109 M-1s-1 is within the range of diffusion-controlled reactions.
As seen in Fig. 2, the protonation reactions of the protein's proton-binding sites are extremely fast. The cluster attains its maximal level of protonation within less than 5 µs, whereas for D38, where the process is a little slower, maximal protonation is attained at
15 µs. The proton-binding capacity of D36, because of its lower pK, is rather small and its transient protonation is observed only on expansion of the y-axis (see inset). The relaxation of the free proton population is extremely fast and within less than 3 µs, the free proton concentration is almost identical with the prepulse level. The rapid uptake of the free protons by the various proton-binding sites present in the reaction mixture implies that the relaxation of the system proceeds, almost exclusively, by collisional proton transfer reaction between the pyranine anion and the proton binding sites on the protein. The signals measured in 150-mM electrolyte, and their subsequent analysis, revealed a practically identical pattern.
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2% of the initial amplitude within less than 250 µs. Thus, while monitoring the proton balance between the purple membranes and the pyranine in the bulk, any state of bulk-protein disequilibrium that extends beyond the ms time point implies that the rate-limiting step of the process involves an intraprotein proton transfer.
The fast relaxation of the free proton population has a direct implication on the present study, as it allows a crucial approximation which is essential for the proton balance calculations; at any given time, which is more than 5 µs past the proton's ejection to the bulk, we can assume that the proton will be bound either to the pyranine or to the protein. Accordingly, Eq. 1 expresses the proton balance at any given time:
![]() | (1) |
M(t) is the amount of protons that are still detached from the Schiff base, 
OH(t) is the amount of protons bound to the pyranine in the bulk, whereas the difference between the two quantities (
Hprotein(t)+) is equal to the amount of protons that are bound to all other proton-binding sites present in the system (bacteriorhodopsin and the anionic sites of the membranal lipids). When
M(t) is smaller than 
OH(t), the
Hprotein(t)+ becomes negative, meaning that somewhere in the protein there are site(s) which are in a temporary state of disequilibrium with the bulk.
The effect of replacement of charged surface residues on the photocycle
Fig. 3 depicts the photocycle traces of the WT protein and of nine mutants where a charged residue, located far from the immediate vicinity of the Schiff base, was replaced by cysteine or glutamine. Traces in the right panels were recorded in the presence of a screening electrolyte, whereas the left panels show traces recorded in pure water. Fig. 3 A (top panels, left and right) depict the dynamics measured at 412 nm, where the M state is characterized by a differential extinction coefficient of 
M = 34300 M-1cm-1.
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The concentrations of the protonated pyranine are consistently smaller than the M signal and exhibit a large variation in amplitude and relaxation time. The low yield of protonated indicator is attributed to the binding of protons to various sites on the purple membrane, which compete with the pyranine anion for the free proton. The addition of the screening electrolyte apparently increased the yield of
OH in most cases, yet for two mutants (D104C, cyan; R227Q, gray), the amplitudes of the pyranine signals were decreased. The fact that the screening electrolyte can either increase or decrease the amplitude of
OH implies a complex correlation between the nature of the mutation and affects the intraprotein proton transfer mechanism. Because of the adjustment procedure used in Fig. 3, internal normalization of 
OHt/
Mt as in Fig. 1 C, will be used below (Fig. 7) for the precise analysis of the signal.
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50- to 100-fold slower than its rise and varied between the mutants from
4 ms (measured with the WT) up to
30 ms (R227Q). The pyranine dynamics exhibit a large variation in the apparent time constant of deprotonation, varying by up to fivefold (R227Q) with respect to the time constant measured with the WT.
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Quantitative expression of the proton hole is attained by direct comparison between the residuals (in molar units) of the M state and
OH at 10 ms. This time point was selected as it is orders-of-magnitude later than the time when the bulk-surface equilibration occurs, and all exposed proton-binding sites had ample time to equilibrate with the bulk. The comparison between the residuals at the 10-ms time point is given in Table 3
.
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OH as measured in water. In the case of the WT and one mutant (E161C) we notice a significant excess of
OH over the M concentration. When the screening electrolyte is present (columns 4 and 5), the excess of
OH over M state is prevalent with the WT and with E161C and also seen in four more mutants (D102C, D104C, R164C, and E166C) (see bold numbers in the Table).
In the remainder of the mutants, at the 10-ms time mark, the value of 

OH(t) was found to be lower than
M(t). The source of this observation can be attributed to a variation of the proton-binding capacity of the surface of the mutated proteins, and to partial aggregation of the purple membranes, topics that may merit research. In the present study we shall not investigate the reactions of these mutants where, at the 10-ms time point,
M(t) > 

OH(t).
It should be emphasized that the detected variation in the hole propagation is affected not only by the site of mutation, but also by the nature of the replacing residue. Thus the two mutants E166C and E166Q markedly differ in the ratio of residuals at the 10-ms time mark. For E166C, 
OH(10 ms) exceeds that of
M(10 ms), whereas, with E166Q, the 
OH(10 ms) is smaller than the residual M concentration.
The effect of replacement of charged surface residues on the dynamics of bulk-surface equilibration
The results presented above may be explained by assuming that the replacement of charged surface residues reduces the rate constants of bulk-surface proton exchange up to the point of creating a rate-limiting step. This hypothesis can be investigated by measuring the dynamics of bulk-surface equilibration whereas the protein retains a constant photocycle state (BR) during the whole length of the observation time. This requirement is met by the LIPPME technique, as used above for evaluation of the effect of the screening electrolyte on the bulk-surface equilibration dynamics. The measurements, which were carried out with the WT protein (Fig. 2 and Table 1), were repeated with each of the mutants. The analysis was carried out by assuming that the mutation had no effect on the pK and kinetic parameters of the surface groups, and the fitting of the signals was attempted by using the parameters of the WT protein. When this failed, the features of the proton binding sites were varied until more than 20 independently measured signals could be fitted within the limits set by the electronic noise by the same set of parameters.
Fig. 4 represents two typical transient absorbance signals that were measured either with E166C or R227Q (Fig. 4, A and B, respectively). The first mutant exhibits pyranine reprotonation dynamics that are faster than those measured with the WT protein, whereas, in the latter, the reprotonation of the pyranine is slower than the WT dynamics.
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Table 4 lists the kinetic and thermodynamics parameters characterizing the reactions between free proton and pyranine and the cluster on the cytoplasmic surface of the purple membrane preparation. For sake of brevity, no other parameters were included as they varied within ±20% from the values determined for the WT protein.
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The dynamics measured with R227Q are characterized by a slow deprotonation of pyranine (see Fig. 2, and Fig. 5 below). Reaction kinetics of the reversible protonation of this mutant are presented in Fig. 4 B. The results obtained with the proton pulse technique reveal that the initial reprotonation of the pyranine, measured with R227Q, is compatible with that of the WT protein (represented by the reconstructed dynamics). Yet,
5 µs after the laser pulse, the protonation of pyranine as measured in the presence of the mutant becomes significantly slower than that calculated for the WT protein. The kinetic and thermodynamic parameters characterizing R227Q (Table 4) reveal an increase of the pK of the three-carboxylate cluster, and a 20-fold reduction in the rate constant of proton transfer from the cluster to the dye. It should be pointed out that the 20-fold reduction of the collisional proton transfer is not sufficient to impose a rate-limiting step on the bulk-surface equilibration. When approximating a pyranine concentration of
10 µM (in accordance with the pH and pyranine concentration used in the measurements) and the rate constant of proton exchange between the cluster and the pyranine (k = 2 x 108 M-1s-1), the time constant of the relaxation will not exceed 500 µs. Even such a slow reaction cannot account for the persistence of the proton hole beyond the 10-ms time point.
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Mutations affecting both M decay and deprotonation of
OH
Two of the mutants reported in this study (D38C and R227Q) exhibited extended decay of the two proton binding chromophores; the Schiff base and the pyranine. These measured signals, as recorded in water and in the presence of 150 mM KCl, are shown in Fig. 5.
The M dynamics of the two mutants in water and in salt (Fig. 5, A and C) are characterized by a rise time that overlaps the WT dynamics, indicating that the deprotonation of the Schiff base proceeds at a normal rate. The relaxation of the M state is much slower than that of the WT, indicating that in these mutants the proton transfer from the D96 to the Schiff base is delayed. The photocycle of the two mutants is hardly affected by the screening electrolyte.
The dynamics of the pyranine deprotonation in the presence of the mutants, shown in Fig. 5, B and D, clearly deviate from the WT pattern; the deprotonation of the pyranine extends in time, matching the reprotonation dynamics of the Schiff base, as if the same rate-limiting step controls the two processes. The measurements of the two mutants, in the presence of a screening electrolyte do not exhibit any extension of the relaxation to a longer time frame than in water (in contrast to dynamics measured with the WT) suggesting that, with these mutants, the ionic screening has no delaying effect on the proton passage from the bulk toward D96 as it has for the WT. Unless we reject all the accumulated evidence that D96 is the only proton donor on the cytoplasmic section of the protein that reprotonates the Schiff base in the M state, it must be concluded that the proton transfer between D96 and the Schiff base is the common rate-limiting step for the two events. Once the reprotonation of the Schiff base is sufficiently slow, the proton transfer from the surface groups toward the D96 easily follows up this slower process.
Fig. 6 depicts another type of relaxation dynamics, which was recorded with D102C (Fig. 6 A) and E166Q (Fig. 6 B). In both mutants the late phase of the
OH deprotonation is a mirror image of the reprotonation of the Schiff base, which is also comparable with that of the WT. Thus, although for D38C and R227Q we concluded that the slow relaxation was attributed to a common rate-limiting step, from D96 to the Schiff base, the dynamics measured with D102C and E166Q suggest that the protonation of D96 was accelerated up to the point that it is sufficiently fast to match the D96
Schiff base proton transfer. The two pairs of mutation, D38C and R227Q vs. D102C and E166Q, indicate that the rate constants of proton transfer between D96
Schiff base and D38
D96 are independent of each other.
Mutations that delay the proton hole propagation with respect to the WT
Fig. 6, A and B, depict experimental curves measured with D104C, E161C, E166C, and R164C, where the deprotonation of the pyranine extends up to the one second time point, whereas the reprotonation of the Schiff base of these mutants relaxes in dynamics similar to those of the WT. The relaxation curves of the pyranine's deprotonation, recorded in the presence of these mutants, do not follow either a first- or a second-order reaction (data not shown), indicating that the mechanism leading to the slow-hole propagation represents a complex process with possible shifting of the rate-limiting step as a function of time (or the progression of the reaction).
The signals presented in Fig. 6 were normalized, according to their absorbance at 568 nm, with respect to the WT. To evaluate the results in a more quantitative presentation, they are presented in Fig. 7 by the ratio 
OHt/
Mt vs. time. Thus, when comparing the two mutations, D102C and D104C, which are close to each other and may replace each other in the cluster (Nachliel et al., 2002
), the result of their replacement by cysteine on the rate of intraprotein proton transfer is entirely different. The mutant D102C exhibits a fast proton transfer toward D96, as the maximal 
OHt/
Mt ratio is lower than in the WT, inasmuch as the replacement of the carboxylate of D104 causes a large delay of the proton transfer and the ratio is as large as 3. In the same sense, the data presented in Fig. 7 B indicates that the replacement of the same residue (E166) by either cysteine or glutamine affects the rate of intraprotein proton transfer in a most astonishing way; E166C exhibits the largest ratio, whereas with E166Q the ratio is smaller than that recorded for the WT protein (compare the results with Fig. 1 C).
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| DISCUSSION |
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The proton binding sites that are involved in this process are schematically presented in Scheme 1. At the beginning of the observation the Schiff base is deprotonated and, being the strongest base in the system, it regains a proton at the expense of the free proton in the bulk. The mechanism of proton delivery from the bulk to the Schiff base consists of at least four distinct steps that differ in their rate constants. The fastest one is the delivery of proton from the bulk to the surface of the protein, marked in Scheme 1 as a combination of a cluster and the carboxylate of D36 (Checover et al., 2001
, 1997
; Nachliel et al., 2002
, 1997
; Yaniv-Checover, 2002
). The next carrier is the carboxylate moiety of D38, which is only partially exposed to the bulk, and most of the proton flux toward this carrier is through proton exchange reaction with the carboxylate of D36 (Checover et al., 1997
; Nachliel et al., 2002
). These reactions are fast and D38 equilibrates with the bulk within 10200 µs. Thus, whatever was the cause for the slow proton transfer between the bulk and the Schiff base, it must be attributed to the intraprotein proton-transfer mechanism.
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The accepted mechanism of the catalytic cycle shows this transient disequilibrium as a state where D96 had already delivered a proton to the Schiff base but failed to be reprotonated by protons present in the bulk. Thus, the most relevant structure for our discussion should be a post-M intermediate (N or O) of the photocycle.
The passage of a proton from D38 to D96 takes place through a narrow opening that is located between the carboxylate of D38 and the positive charge of K41. The passage is illustrated using the O-like structure of Rouhani et al. (2001)
, 1jv7.pbd, where hydrogen atoms were added and the structure was relaxed by a brief minimization to release some Van der Waals interactions. As seen in Figure 8 A, the oxygen atom (yellow) of the carboxylate of D96 is partially exposed to the bulk through a narrow shaft
10 Å deep that runs parallel to the hydrophobic surface of F42. The passage is too narrow to allow a water molecule to pass through, as evident by comparison with the two structural resolved water molecules (HOH512 and HOH523) located in the vicinity.
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It should be pointed out that the shaft structure is not a unique feature of the O structure. It can easily be detected in the ground state structure of the 1brr.pdb file (Essen et al., 1998
).
Fig. 9 is a longitudal section along the long axis of the protein extending from the cytoplasmic surface toward the Schiff base. The residues forming the hydrophobic collar and F42 are colored as in Fig. 8 B. The Schiff base and its proton donor (D96) are
13 Å apart. Yet, the presence of water molecules in that space, observed in all post-M structures, render the passage of proton from D96 to Schiff Schiff base base to be faster than the hole propagation process described above. It is of interest to point out that for two mutations, D38C and R227Q, the M decay was extremely long, whereas the 
OHt/
Mt ratios indicated no delay in the hole-propagation mechanism. Thus, we have to consider that some surface mutations can affect the dynamics of the proton transfer reaction in the D96-Schiff base section.
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30% of the rate of protonation of a fully exposed residue (D36) and considered to be only partially accessible to the bulk.
The passage between the residues D38 and D96 is blocked by the bulky aromatic ring of F42, which is surrounded by a rim of hydrophobic residues. The space between F42 and the atoms of the nearby residues is in the order of 45 Å (center to center), which is too narrow to permit free passage of a water molecule. Indeed, the nearest stable site for a water molecule (HOH512, colored green) is not inside the hydrophobic domain and is located 3.5 Å from the carboxylate of D38. Thus, even though there seems to be an open path between the carboxylates of D96 and D38, the passage is too narrow to be permanently solvated. Accordingly, a passage of proton (or hydroxyl) between the two residues necessitates the overcoming of a high potential barrier associated with the insertion of a charge into a low dielectric matrix with a thickness of
12 Å. A transient solvation of the domain will reduce the electrostatic barrier, but requires a major conformational change. For this reason we shall refer to the projected conducting pathway as a fracture zone, a site having a finite (but small) probability of temporal solvation.
Charge passage between D96 and D38
The passage of a charged particle from D38 to D96 proceeds through an
12-Å thick hydrophobic slab, made by a large number of residues (P42, T46, A44, I45, L48, F72, L92, L95, L99, L100, T170, P171, and L223). It is of interest to note that this domain is even more resistant to solvent permeation than the D96
Schiff base section of the proton-conducting channel. In the BR ground state, the section between D96 and the Schiff base is devoid of water molecules, which accounts for the high pK of D96 (Cao et al., 1993
; Zscherp et al., 1999
). During the photocycle, following the translational motion of helix F in the M state of the protein, few water molecules (502, 503, and 504) are inserted between the carboxylate of D96 and the Schiff base. The introduction of these polarizable molecules into the hydrophobic space suffices to lower the pK of D96 from pK > 12 down to 7.17.5 (Zscherp et al., 1999
; Szaraz et al., 1994
; Dioumaev et al., 2001
). In contrast, the section between the carboxylates of D96 and D38 remains unhydrated in the post-M states, retaining a low dielectric constant. As seen in Figs. 7 and 8, the domain between D38 and D96 is dominated by the aromatic structure of F42. When the residues surrounding F42 were replaced by smaller ones (L100C, F171C, L223C, and F24C; see Dioumaev et al., 2001
), the velocity of proton passage to D96 was even slower (Dioumaev et al., 2001
). Apparently, the hydrophobic forces operating in the core of the protein are strong enough to let the structure collapse around the space vacated by the mutations. The replacement of a bulky residue by a smaller one allowed, on collapse, a better sealing of the passage and the reprotonation of D96 to be slowed down.
The rate-limiting step controlling the hole propagation
We can envision two mechanisms through which proton-hole migration takes place: 1) The carboxylate of D96 hydrolyzes a nearby water molecule and the product, OH- residue, diffuses toward the bulk. The slowness of the reaction is mostly attributed to the low rate of hydrolysis. 2) The protonated carboxylate of D38 dissociates and the proton, instead of taking the most probable trajectory toward the bulk phase, is attracted by the negative charge of the ionized carboxylate of D96, causing it to penetrate into the fracture zone. In this case, the low frequency of the event is due to the high-energy barrier associated with charge entry into a low dielectric constant matrix.
The rate constant of the hydrolysis can be estimated using the relationship kh
2 x 1010 x 10(pK-15.74) (Gutman and Nachliel, 1990
). Assuming that the pK of D96 in the post-M state is 7.17.5 (Dioumaev et al., 2001
; Zscherp et al., 1999
), the hydrolysis will occur once in
25 ms, which is within the time frame of the hole-propagation process. Even though the approximation does not account for the specific conditions in the reaction site, such as the availability of the nearby water molecule, the hydrolysis appears to be sufficiently slow to account for the observed rate. A possible argument against this mechanism is based on the direction of the electrostatic forces inside the reaction space. Once D96 has donated its proton to the Schiff base, the hydroxyl will be attracted toward the positive charge of the Schiff base, interfering with the diffusion of the hydroxyl toward the bulk. Yet, the positive charge of K41, located at the exit of the shaft (11.2 Å from D96 and 6.4 Å from D38; see Fig. 8) may serve as an electrostatic attractor pulling the hydroxyl from the inside of the protein toward the surface.
The second mechanism is initiated by the spontaneous proton dissociation from the carboxylate of D38. The acceptance of this scenario is limited by the fact that the bulk is a preferred attractor for a free proton and the probability that the released proton will propagate through the hydrophobic gate is much smaller than the frequency of the carboxylate dissociation. The insertion of the proton into the protein can only take place when the fracture zone is temporarily solvated so that the combination of the attractive potential of the D96 anion plus the polarizability of the solvated shaft can effectively compete for the proton. Assuming that the diffusion coefficient of the proton (or the hydroxyl) within the hydrophobic barrier is smaller than in bulk water (Shimoni et al., 1993
), then even a diffusion coefficient as small as 0.1% of the bulk value would yield a passage time of less than 1 ns.
Mutations affecting the rate of proton-hole propagation
The slow proton-hole propagation is a feature of the photocycle that was measured for the WT protein and for some mutants: D104C, E161C, R164C, and E166C. The fast kinetic measurements of bulk-surface proton transfer of the above mutants (Tables 1 and 4 above) indicated that the delay in the protonation of D96 could not be attributed to a slow proton transfer between bulk and surface. Even in the case of the purple membrane of the R227Q mutant, where the rate of proton exchange between the cluster and the pyranine is 20-fold slower than that of the WT, it is not slow enough to impose a rate-limiting proton transfer step between the bulk and the protein's surface.
Four of the tested mutants (D38C, D102C, E166Q, and R227Q) failed to exhibit the slow-hole propagation. In the case of D38C and R227Q, the proton transfer from D96 to the Schiff base is the rate-limiting step of the relaxation, so that the reprotonation dynamics of D96 cannot be recorded. Yet, close examination of the pyranine deprotonation dynamics, measured with D38C in the presence of screening electrolyte, reveals some lengthening of its relaxation time (Table 2 B). This may be reminiscent of the slow-hole propagation mechanism that might be also operating in this protein.
In contrast to the above mutants, where the hole propagation cannot be observed due to the slow proton transfer from D96 to the Schiff base, the mutants E166Q and D102C exhibit a fast deprotonation of pyranine at a rate that kinetically matches the protonation of the Schiff base and no appreciable disequilibrium is detected. Apparently in some mutants the proton transfer between D38 and D96 can be faster than in the WT protein.
The effect of the screening electrolyte
The phenomenon recorded for the WT protein and some mutants was markedly enhanced when measured in the presence of a screening electrolyte. The effect of ionic screening on the electrostatic potential inside a membrane was elegantly discussed by McLaughlin (Mathias et al., 1992
), who used a model of a low-dielectric slab immersed in an electrolyte solution. Their study showed that the ionic screening hardly affects the electrostatic potential at a distance shorter than the Debye length,
-1, that for a 150 mM KCl solution is 7.8Å. On the other hand, at distances exceeding
-1, the ionic screening affects the steepness of the electrostatic potential. Therefore, the forces operating on a mobile charge inside the protein are modulated by the screening electrolyte, affecting the velocity of intraprotein proton transfer reactions.
It should be emphasized that the addition of the screening electrolyte either increased the amplitude of
OH formation or in some cases (D102C, E166Q, and K159C) lowered it. The maximal concentration of
OH is determined by many parallel reactions that take place both inside the protein and at the bulk- protein interface and more than one of them can be affected by the electrolyte. Accordingly a general treatment of the correlation between the electrolyte and the amplitude of
OH is beyond the scope of the present study.
| SUMMARY |
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| ACKNOWLEDGEMENTS |
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Submitted on August 1, 2002; accepted for publication September 17, 2002.
| REFERENCES |
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Checover, S., Y. Marantz, E. Nachliel, M. Gutman, M. Pfeiffer, J. Tittor, D. Oesterhelt, and N. A. Dencher. 2001. Dynamics of the proton transfer reaction on the cytoplasmic surface of bacteriorhodopsin. Biochemistry. 40:42814292.[Medline]
Checover, S., E. Nachliel, N. A. Dencher, and M. Gutman. 1997. Mechanism of proton entry into the cytoplasmic section of the proton-conducting channel of bacteriorhodopsin. Biochemistry. 36:1391913928.[Medline]
Dencher, N. A., J. Heberle, G. Büldt, H.-D. Höltje, and M. Höltje. 1992. Active and passive proton transfer steps through bacteriorhodopsin are controlled by a light-triggered hydrophobic gate. In Structures and Functions of Retinal Proteins. J. L. Rigaud, editor. John Libbey Eurotext Ltd., Colloque, Paris, France. 221:213216.