Electron transfer and protein dynamics in the photosynthetic reaction center

Protein dynamics and reactions of photosystem II

The kinetics of charge recombination by electron transfer from Q(A)(*-) to P680(*+) on the reducing branch of PSII is likely to be strongly dependent on protein dynamics, in analogy with the kinetics of the corresponding reaction in the reaction center of purple bacteria [Biophys. J. 74 (1998) 2567]. On the oxidizing branch of PSII, the kinetics of electron hole transfer from P680(*+) to Y(Z) is known to be multiexponential. This transfer is in the Babcock model of the reactions of the water-oxidizing complex coupled with proton transfer from Y(Z). The proton is via switching hydrogen bonds in the protein transferred to the thylakoid lumen. The demand for successive proton transfers requires rearrangement of the hydrogen bonds, which in turn requires a flexible protein making fluctuating excursions among all its conformations. In the equilibrated protein, only a fractional part of the molecules is in a conformation that is able to support the proton transfer from Y(Z). The kinetics of the rearrangement to this active conformation will be multiexponential and dependent on the distribution among all conformations, which is likely to be sensitive to various influences, in particular from changes in the protein coordination to the (Mn)(4) cluster between the different S states.

Modulation of the free energy of the primary quinone acceptor (QA) in reaction centers from Rhodobacter sphaeroides: contributions from the protein and protein-lipid(cardiolipin) interactions

The redox midpoint potential (E(m)) of Q(A), the primary quinone of bacterial reaction centers, is substantially modulated by the protein environment. Quite subtle mutations in the Q(A) binding site, e.g., at residues M218, M252 and M265, cause significant increases in the equilibrium constant for electron transfer to Q(B), which indicate relative lowering of the E(m) of Q(A). However, reports of functional linkage between the Q(A) and Q(B) sites make it difficult to partition such effects between Q(A) and Q(B) from purely relative changes. We report here measurements on the yield of delayed fluorescence emission from the primary donor (P) accompanying the thermally activated charge recombination of P(+)Q(A)(-) to form the excited singlet state of the primary donor, P*. The results show that for mutations of the Q(A) site residues, Met(M218) and Ile(M265), essentially all the substantial thermodynamic effect is localized at Q(A), with no evidence for a significant effect of these residues on the properties of Q(B) or the mutual influence (linkage) of Q(A) and Q(B). We also report a significant lowering of the E(m) of Q(A) by the native lipid, cardiolipin, which brings the E(m) in isolated reaction centers more in line with that seen in native membrane vesicles (chromatophores). Possible origins of this effect are discussed in the context of the Q(A) binding site structure.

Residual water modulates QA- -to-QB electron transfer in bacterial reaction centers embedded in trehalose amorphous matrices

The role of protein dynamics in the electron transfer from the reduced primary quinone, Q(A)(-), to the secondary quinone, Q(B), was studied at room temperature in isolated reaction centers (RC) from the photosynthetic bacterium Rhodobacter sphaeroides by incorporating the protein in trehalose water systems of different trehalose/water ratios. The effects of dehydration on the reaction kinetics were examined by analyzing charge recombination after different regimes of RC photoexcitation (single laser pulse, double flash, and continuous light) as well as by monitoring flash-induced electrochromic effects in the near infrared spectral region. Independent approaches show that dehydration of RC-containing matrices causes reversible, inhomogeneous inhibition of Q(A)(-)-to-Q(B) electron transfer, involving two subpopulations of RCs. In one of these populations (i.e., active), the electron transfer to Q(B) is slowed but still successfully competing with P(+)Q(A)(-) recombination, even in the driest samples; in the other (i.e., inactive), electron transfer to Q(B) after a laser pulse is hindered, inasmuch as only recombination of the P(+)Q(A)(-) state is observed. Small residual water variations ( approximately 7 wt %) modulate fully the relative fraction of the two populations, with the active one decreasing to zero in the driest samples. Analysis of charge recombination after continuous illumination indicates that, in the inactive subpopulation, the conformational changes that rate-limit electron transfer can be slowed by >4 orders of magnitude. The reported effects are consistent with conformational gating of the reaction and demonstrate that the conformational dynamics controlling electron transfer to Q(B) is strongly enslaved to the structure and dynamics of the surrounding medium. Comparing the effects of dehydration on P(+)Q(A)(-)-->PQ(A) recombination and Q(A)(-)Q(B)-->Q(A)Q(B)(-) electron transfer suggests that conformational changes gating the latter process are distinct from those stabilizing the primary charge-separated state.

Electron transfer kinetics in photosynthetic reaction centers embedded in polyvinyl alcohol films

The coupling between electron transfer and protein dynamics has been studied at room temperature in isolated reaction centers (RCs) from the photosynthetic bacterium Rhodobacter sphaeroides by incorporating the protein in polyvinyl alcohol (PVA) films of different water/RC ratios. The kinetic analysis of charge recombination shows that dehydration of RC-containing PVA films causes reversible, inhomogeneous inhibition of electron transfer from the reduced primary quinone acceptor (Q(A)(-)) to the secondary quinone Q(B). A more extensive dehydration of solid PVA matrices accelerates electron transfer from Q(A)(-) to the primary photooxidized electron donor P(+). These effects indicate that incorporation of RCs into dehydrated PVA films hinders the conformational dynamics gating Q(A)(-) to Q(B) electron transfer at room temperature and slows down protein relaxation which stabilizes the primary charge-separated state P(+)Q(A)(-). A comparison with analogous effects observed in trehalose-coated RCs suggests that protein motions are less severely reduced in PVA films than in trehalose matrices at comparable water/RC ratios.

Absence of Large-Scale Displacement of Quinone QB in Bacterial Photosynthetic Reaction Centers

Photosynthesis transforms light into chemical energy by coupling electron transfer to proton uptake at the quinone Q(B). The possibility of initiating this process with a brief pulse of light and the known X-ray structure makes the photosynthetic bacterial reaction center a paradigm for studying coupled electron-proton transfer in biology. It has been established that electron transfer from the primary quinone Q(A) to Q(B) is gated by a protein conformational change. On the basis of a dramatic difference in the location of Q(B) in structures derived from crystals cooled to 90 K either under illumination or in the dark, a functional model for the gating mechanism was proposed whereby neutral Q(B) moves 4.5 A before receiving the electron from Q(A)(-) [Stowell, M. H. B., McPhillips, T. M., Rees, D. C., Soltis, S. M., Abresch, E., and Feher, G. (1997) Science 276, 812-816]. Isotope-edited FTIR difference spectroscopy of Q(B) photoreduction at 290 and 85 K is used to investigate whether Q(B) moves upon reduction. We show that the specific interactions of the carbonyl groups of Q(B) and Q(B)(-) with the protein at a single binding site remain identical at both temperatures. Therefore, the different locations of Q(B) reported in many X-ray crystal structures probably are unrelated to functional electron transfer from Q(A)(-) to Q(B).

Structural, dynamic, and energetic aspects of long-range electron transfer in photosynthetic reaction centers

Intramolecular electron transfer within proteins plays an essential role in biological energy transduction. Electron donor and acceptor cofactors are bound in the protein matrix at specific locations, and protein-cofactor interactions as well as protein conformational changes can markedly influence the electron transfer rates. To assess these effects, we have investigated charge recombination from the primary quinone acceptor to the special pair bacteriochlorophyll dimer in wild-type reaction centers of Rhodobacter sphaeroides and four mutants with widely modified free energy gaps. After light-induced charge separation, the recombination kinetics were measured in the light- and dark-adapted forms of the protein from 10 to 300 K. The data were analyzed by using the spin-boson model, which allowed us to self-consistently determine the electronic coupling energy, the distribution of energy gaps, the spectral density of phonons, and the reorganization energy. The analysis revealed slow changes of the energy gap after charge separation. Interesting correlations of the control parameters governing electron transfer were found and related to structural and dynamic properties of the protein.

Photodynamics of red fluorescent proteins studied by fluorescence correlation spectroscopy

Red fluorescent proteins are important tools in fluorescence-based life science research. Recently, we have introduced eqFP611, a red fluorescent protein with advantageous properties from the sea anemone Entacmaea quadricolor. Here, we have studied the submillisecond light-driven intramolecular dynamics between bright and dark states of eqFP611 and, for comparison, drFP583 (DsRed) by using fluorescence correlation spectroscopy on protein solutions. A three-state model with one dark and two fluorescent states describes the power-dependence of the flickering dynamics of both proteins at different excitation wavelengths. It involves two light-driven conformational transitions. We have also studied the photodynamics of individual (monomeric) eqFP611 molecules immobilized on surfaces. The flickering rates and dark state fractions of eqFP611 bound to polyethylene glycol-covered glass surfaces were identical to those measured in solution, showing that the bound FPs behaved identically. A second, much slower flickering process was observed on the 10-ms timescale. Deposition of eqFP611 molecules on bare glass surfaces yielded bright fluorescence without any detectable flickering and a >10-fold decreased photobleaching yield. These observations underscore the intimate connection between protein motions and photophysical processes in fluorescent proteins.

Direct observation of tiers in the energy landscape of a chromoprotein: a single-molecule study

Single-molecule spectroscopic techniques were applied to individual pigments embedded in a chromoprotein. A sensitive tool to monitor structural fluctuations of the protein backbone in the local environment of the chromophore is provided by recording the changes of the spectral positions of the pigment absorptions as a function of time. The data provide information about the organization of the energy landscape of the protein in tiers that can be characterized by an average barrier height. Additionally, a correlation between the average barrier height within a distinct tier and the time scale of the structural fluctuations is observed.

Spectroscopic characterization of a semi-stable, charge-separated state in Cu2+-substituted reaction centers from Rhodobacter sphaeroides

In reaction centers from Rhodobacter sphaeroides exposed to continuous illumination in the presence of an inhibitor of the Q(A)(-) to Q(B) electron transfer, a semi-stable, charge-separated state was formed with halftimes of formation and decay of several minutes. When the non-heme iron was replaced by Cu(2+), the decay of the semi-stable, charge-separated state became much slower than in centers with bound Fe(2+) with about the same rate constant for formation. In Cu(2+)-substituted reaction centers, the semi-stable state was associated with an EPR signal, significantly different from that observed after chemical reduction of the acceptor-side quinone or after illumination at low temperature, but similar to that of an isolated Cu(2+) in the absence of magnetic interaction. The EPR results, obtained with Cu(2+)-substituted reaction centers, suggest that the slow kinetics of formation and decay of the charge-separated, semi-stable state is associated with a structural rearrangement of the acceptor side and the immediate environment of the metal-binding site.

Length, time, and energy scales of photosystems

The design of photosynthetic systems reflects the length scales of the fundamental physical processes. Energy transfer is rapid at the few angstrom scale and continues to be rapid even at the 50-A scale of the membrane thickness. Electron tunneling is nearly as rapid at the shortest distances, but becomes physiologically too slow well before 20 A. Diffusion, which starts out at a relatively slow nanosecond time scale, has the most modest slowing with distance and is physiologically competent at all biologically relevant distances. Proton transfer always operates on the shortest angstrom scale. The structural consequences of these distance dependencies are that energy transfer networks can extend over large, multisubunit and multicomplex distances and take leaps of 20 A before entering the domain of charge separating centers. Electron transfer systems are effectively limited to individual distances of 15 A or less and span the 50 A dimensions of the bioenergetic membrane by use of redox chains. Diffusion processes are generally used to cover the intercomplex electron transfer distances of 50 A and greater and tend to compensate for the lack of directionality by restricting the diffusional space to the membrane or the membrane surface, and by multiplying the diffusing species through the use of pools. Proton transfer reactions act over distances larger than a few angstroms through the use of clusters or relays, which sometimes rely on water molecules and which may only be dynamically assembled. Proteins appear to place a premium on robustness of design, which is relatively easily achieved in the long-distance physical processes of energy transfer and electron tunneling. By placing cofactors close enough, the physical process is relatively rapid compared to decay processes. Thus suboptimal conditions such as cofactor orientation, energy level, or redox potential level can be tolerated and generally do not have to be finely tuned. The most fragile regions of design tend to come in areas of complex formation and catalysis involving proton management, where relatively small changes in distance or mutations can lead to a dramatic decrease in turnover, which may already be limiting the overall speed of energy conversion in these proteins. Light-activated systems also face a challenge to robust function from the ever-present dangers of high redox potential chemistry. This can turn the protein matrix and wandering oxygen molecules into unintentional redox partners, which in the case of PSII requires the frequent, costly replacement of protein subunits.

Electron transport dynamics at the quinone acceptor site of bacterial photosynthetic reaction centers as probed using fast temperature changes

Methods of laser-induced temperature jumps and fast freezing were used for testing the rates of thermoinduced conformational transitions of reaction center (RC) complexes in chromatophores and isolated RC preparations of various photosynthesizing purple bacteria. An electron transfer reaction from primary to secondary quinone acceptors was used as a probe of electron transport efficiency. The thermoinduced transition of the acceptor complex to the conformational state facilitating electron transfer to the secondary quinone acceptor was studied. To investigate the dynamics of spontaneous decay of the RC state induced by the thermal pulse, the thermal pulse was applied either before or during photoinduced activation of electron transport reactions in the RC acceptor complex. The maximum effect was observed if the thermal pulse was applied against the background of steady-state photoactivation of the RC. It was shown that neither the characteristic time of the thermoinduced transition within the temperature range 233-253 K nor the characteristic time of spontaneous decay of this state at 253 K exceeded several tens of milliseconds. Independent support of the estimates was obtained from experiments with varied cooling rates of the samples tested.

Charge recombination and protein dynamics in bacterial photosynthetic reaction centers entrapped in a sol-gel matrix

Many proteins can be immobilized in silica hydrogel matrices without compromising their function, making this a suitable technique for biosensor applications. Immobilization will in general affect protein structure and dynamics. To study these effects, we have measured the P(+)Q(A)(-) charge recombination kinetics after laser excitation of Q(B)-depleted wild-type photosynthetic reaction centers from Rhodobacter sphaeroides in a tetramethoxysilane (TMOS) sol-gel matrix and, for comparison, also in cryosolvent. The nonexponential electron transfer kinetics observed between 10 and 300 K were analyzed quantitatively using the spin boson model for the intrinsic temperature dependence of the electron transfer and an adiabatic change of the energy gap and electronic coupling caused by protein motions in response to the altered charge distributions. The analysis reveals similarities and differences in the TMOS-matrix and bulk-solvent samples. In both preparations, electron transfer is coupled to the same spectrum of low frequency phonons. As in bulk solvent, charge-solvating protein motions are present in the TMOS matrix. Large-scale conformational changes are arrested in the hydrogel, as evident from the nonexponential kinetics even at room temperature. The altered dynamics is likely responsible for the observed changes in the electronic coupling matrix element.

Effect of dehydration on light-induced reactions in photosystem II: photoreactions of cytochrome b559

The effect of dehydration on the reaction pattern of photosystem II (PS II) has been studied by measuring and analyzing spectral changes induced by continuous wavelength illumination in films of untreated and hydroxylamine-washed PS II membrane fragments dehydrated to different levels. The obtained data revealed (i) the extent of light-induced formation of about one Q(A)(-*)per 230 chlorophylls (Chl) remains virtually invariant to dehydration down to the lowest values of relative humidity (6-8% RH); (ii) a decrease of the RH to 30% leads to severe blockage of the electron transfer from Q(A)(-*) to Q(B) and the progressive replacement of water oxidation by photooxidation of high potential (HP) cytochrome (Cyt) b559 in untreated PS II samples or accessory Chl and carotenoid (Car) molecules in samples with preoxidized Cyt b559; (iii) photooxidation of Cyt b559 is followed by its photoreduction, concomitant with photooxidation of Chl and Car; (iv) in dry samples with preoxidized Cyt b559, not more than a half of total Cyt b559 can be photochemically reduced, independent of the extent of Cyt b559 in the HP form; (v) at low RH values, Cyt b559 photoreduction in samples with preoxidized heme groups and photoaccumulation of Q(A)(-*) take place with biphasic kinetics with similar rate constants for both processes; (vi) Cyt b559 photoreduction in dry samples is DCMU insensitive, while the dark rereduction of photooxidized Cyt b559 is inhibited by DCMU; (vii) fast and slow kinetic phases of Cyt b559 photoreduction dramatically differ in their dependencies on the intensity of CW illumination and are associated with electron donation to Cyt b559 from Q(A)(-*) and pheophytin(-*), respectively. The pathways of light-induced electron transfer in PS II involving Cyt b559 are discussed.

Charge-transfer mechanism for cytochrome c adsorbed on nanometer thick films. Distinguishing frictional control from conformational gating

Using nanometer thick tunneling barriers with specifically attached cytochrome c, the electron-transfer rate constant was studied as a function of the SAM composition (alkane versus terthiophene), the omega-terminating group type (pyridine, imidazole, nitrile), and the solution viscosity. At large electrode-reactant separations, the pyridine terminated alkanethiols exhibit an exponential decline of the rate constant with increasing electron-transfer distance. At short separations, a plateau behavior, analogous to systems involving -COOH terminal groups to which cytochrome c can be attached electrostatically, is observed. The dependence of the rate constant in the plateau region on system properties is investigated. The rate constant is insensitive to the mode of attachment to the surface but displays a significant viscosity dependence, change with spacer composition (alkane versus terthiophene), and nature of the solvent (H(2)O versus D(2)O). Based on these findings and others, the conclusion is drawn that the charge-transfer rate constant at short distance is determined by polarization relaxation processes in the structure, rather than the electron tunneling probability or large-amplitude conformational rearrangement (gating). The transition in reaction mechanism with distance reflects a gradual transition between the tunneling and frictional mechanisms. This conclusion is consistent with data from a number of other sources as well.

Self-regulation phenomena applied to bacterial reaction centers: 2. Nonequilibrium adiabatic potential: dark and light conformations revisited

Experimental and theoretical results in support of nonlinear dynamic behavior of photosynthetic reaction centers under light-activated conditions are presented. Different conditions of light adaptation allow for preparation of reaction centers in either of two different conformational states. These states were detected both by short actinic flashes and by the switching of the actinic illumination level between different stationary state values. In the second method, the equilibration kinetics of reaction centers isolated from Rhodobacter sphaeroides were shown to be inherently biphasic. The fast and slow equilibration kinetics are shown to correspond to electron transfer (charge separation) at a fixed structure and to combined electron-conformational transitions governed by the bounded diffusion along the potential surface, respectively. The primary donor recovery kinetics after an actinic flash revealed a pronounced dependence on the time interval (deltat) between cessation of a lengthy preillumination of a sample and the actinic flash. A pronounced slow relaxation component with a decay half time of more than 50 s was measured for deltat > 10 s. This component corresponds to charge recombination in reaction centers for which light-induced structural changes have not relaxed completely before the flash. The amplitude of this component depended on the conditions of the sample preparation, specifically on the type of detergent used in the preparation. The redox potential parameters as well as the structural diffusion constants were estimated for samples prepared in different ways.

Characterization of a semi-stable, charge-separated state in reaction centers from Rhodobacter sphaeroides

In reaction centers from Rhodobacter sphaeroides, subjected to continuous illumination in the presence of an inhibitor of the Q(A) to Q(B) electron transfer, the oxidation of P870 consisted of several kinetic phases with a fast initial reaction followed by very slow accumulation of P870(+) with a halftime of several minutes. When the light was turned off, a phase of fast charge recombination was followed by an equally slow reduction of P870(+). In reaction centers depleted of Q(B), where forward electron transfer from Q(A) is also prevented, the slow reactions were also observed but with different kinetic properties. The kinetic traces of accumulation and decay of P870(+) could be fitted to a simple three-state model where the initial, fast charge separation is followed by a slow reversible conversion to a long-lived, charge-stabilized state. Spectroscopic examination of the charge-separated, semi-stable state, using optical absorbance and EPR spectroscopy, suggests that the unpaired electron on the acceptor side is located in an environment significantly different from normal. The activation parameters and enthalpy and entropy changes, determined from the temperature dependence of the slow conversion reaction, suggest that this might be coupled to changes in the protein structure of the reaction centers, supporting the spectroscopic results. One model that is consistent with the present observations is that reaction centers, after the primary charge separation, undergo a slow, light-induced change in conformation affecting the acceptor side.

Slaving: solvent fluctuations dominate protein dynamics and functions

Protein motions are essential for function. Comparing protein processes with the dielectric fluctuations of the surrounding solvent shows that they fall into two classes: nonslaved and slaved. Nonslaved processes are independent of the solvent motions; their rates are determined by the protein conformation and vibrational dynamics. Slaved processes are tightly coupled to the solvent; their rates have approximately the same temperature dependence as the rate of the solvent fluctuations, but they are smaller. Because the temperature dependence is determined by the activation enthalpy, we propose that the solvent is responsible for the activation enthalpy, whereas the protein and the hydration shell control the activation entropy through the energy landscape. Bond formation is the prototype of nonslaved processes; opening and closing of channels are quintessential slaved motions. The prevalence of slaved motions highlights the importance of the environment in cells and membranes for the function of proteins.

Modeling of the P700+ charge recombination kinetics with phylloquinone and plastoquinone-9 in the A1 site of photosystem I

Light activation of photosystem I (PS I) induces electron transfer from the excited primary electron donor P700 (a special pair of chlorophyll a/a' molecules) to three iron-sulfur clusters, F(X), F(A), and F(B) via acceptors A(0) (a monomeric chlorophyll a) and A(1) (phylloquinone). PS I complexes isolated from menA and menB mutants contain plastoquinone-9 rather than phylloquinone in the A(1) site and show altered rates of forward electron transfer from A to [F(A)/F(B)] and altered rates of back electron transfer from [F(A)/F(B)](-) to P700+ (Semenov, A. Y., et al., J. Biol. Chem. 275:23429-23438, 2000). To identify the modified electron transfer steps, we studied the kinetics of flash-induced P700+ reduction in PS I that contains either an intact set or a subset of iron-sulfur clusters F(X), F(A), and F(B) and with the A(1) binding site occupied by phylloquinone or plastoquinone-9. A modeling of the forward and backward electron transfer kinetics in P700-F(A)/F(B) complexes, P700-F(X) cores, and P700-A(1) cores shows that the replacement of phylloquinone by plastoquinone-9 induces a decrease in the free energy gap between A(1) and F(A)/F(B) from approximately -205 mV in wild-type PS I to approximately -70 mV in menA PS I. The +135 mV increase in the midpoint potential of A(1) explains the acceleration in the rate of P700+ dark reduction in menA PS I, and the resulting uphill electron transfer from A(1) to F(X) in menA PS I explains the absence of a contribution from F to the reduction of P700+. This fully quantitative description of PS I relates electron transfer rates, equilibrium constants, and redox potentials, and can be used to predict changes in these parameters upon substitution of electron transfer cofactors.

Exploring the energy profile of the Q(A)(-) to Q(B) electron transfer reaction in bacterial photosynthetic reaction centers: pH dependence of the conformational gating step

Both large- and small-scale conformational changes are needed as proteins carry out reactions. However, little is known about the identity, energy of, and barriers between functional substates on protein reaction coordinates. In isolated bacterial photosynthetic reaction centers, the electron transfer from the reduced primary quinone, Q(A)(-), to the secondary quinone, Q(B), is rate limited by conformational changes at low pH and by proton binding at high pH. The kinetics and thermodynamics of this reaction were determined between 200 and 300 K from pH 6 to pH 10.5. A model with two substates of the reactant, P(+)Q(A)(-)Q(B), one protonated (state A) and one unprotonated (alpha), and one state of the product, P(+)Q(A)Q(B)(-) (B), was able to simulate the dependence of the rate on temperature and pH fairly well. The equilibrium between the three states were measured in situ at each temperature. Proton binding (alpha to A transition) has a favorable DeltaH and unfavorable DeltaS as does the conformational changes required for electron transfer at low pH (A to B). The pK for the A to alpha transition is 9.7 at room temperature, consistent with previous measurements, and equivalent to 13.5 at 200 K. The activation barriers were determined for each transition. Both the alpha to A and the A to B transitions are limited primarily by the activation enthalpy with modest DeltaS.

Electron transfer kinetics in photosynthetic reaction centers embedded in trehalose glasses: trapping of conformational substates at room temperature

We report on room temperature electron transfer in the reaction center (RC) complex purified from Rhodobacter sphaeroides. The protein was embedded in trehalose-water systems of different trehalose/water ratios. This enabled us to get new insights on the relationship between RC conformational dynamics and long-range electron transfer. In particular, we measured the kinetics of electron transfer from the primary reduced quinone acceptor (Q(A)(-)) to the primary photo oxidized donor (P(+)), by time-resolved absorption spectroscopy, as a function of the matrix composition. The composition was evaluated either by weighing (liquid samples) or by near infrared spectroscopy (highly viscous or solid glasses). Deconvolution of the observed, nonexponential kinetics required a continuous spectrum of rate constants. The average rate constant (<k> = 8.7 s(-1) in a 28% (w/w) trehalose solution) increases smoothly by increasing the trehalose/water ratio. In solid glasses, at trehalose/water ratios > or = 97%, an abrupt <k> increase is observed (<k> = 26.6 s(-1) in the driest solid sample). A dramatic broadening of the rate distribution function parallels the above sudden <k> increase. Both effects fully revert upon rehydration of the glass. We compared the kinetics observed at room temperature in extensively dried water-trehalose matrices with the ones measured in glycerol-water mixtures at cryogenic temperatures and conclude that, in solid trehalose-water glasses, the thermal fluctuations among conformational substates are inhibited. This was inferred from the large broadening of the rate constant distribution for electron transfer obtained in solid glasses, which was due to the free energy distribution barriers having become quasi static. Accordingly, the RC relaxation from dark-adapted to light-adapted conformation, which follows primary charge separation at room temperature, is progressively hindered over the time scale of P(+)Q(A)(-) charge recombination, upon decreasing the water content. In solid trehalose-water glasses the electron transfer process resulted much more affected than in RC dried in the absence of sugar. This indicated a larger hindering of the internal dynamics in trehalose-coated RC, notwithstanding the larger amount of residual water present in comparison with samples dried in the absence of sugar.

The effect of ligand dynamics on heme electronic transition band III in myoglobin

Band III is a near-infrared electronic transition at ~13,000 cm(-1) in heme proteins that has been studied extensively as a marker of protein conformational relaxation after photodissociation of the heme-bound ligand. To examine the influence of the heme pocket structure and ligand dynamics on band III, we have studied carbon monoxide recombination in a variety of myoglobin mutants after photolysis at 3 K using Fourier transform infrared temperature-derivative spectroscopy with monitoring in three spectral ranges, (1) band III, the mid-infrared region of (2) the heme-bound CO, and (3) the photodissociated CO. Here we present data on mutant myoglobins V68F and L29W, which both exhibit pronounced ligand movements at low temperature. From spectral and kinetic analyses in the mid-infrared, a small number of photoproduct populations can be distinguished, differing in their distal heme pocket conformations and/or CO locations. We have decomposed band III into its individual photoproduct contributions. Each photoproduct state exhibits a different "kinetic hole-burning" (KHB) effect, a coupling of the activation enthalpy for rebinding to the position of band III. The analysis reveals that the heme pocket structure and the photodissociated CO markedly affect the band III transition. A strong kinetic hole-burning effect results only when the CO ligand resides in the docking site on top of the heme group. Migration of CO away from the heme group leads to an overall blue shift of band III. Consequently, band III can be used as a sensitive tool to study ligand dynamics after photodissociation in heme proteins.

Relaxations and fluctuations in myoglobin

One major goal of biological physics is the discovery and understanding of the concepts and laws that govern biomolecules, in particular proteins. Since there exist at least 10(5) different proteins, the choice of a suitable prototype is necessary. Myoglobin (Mb) has for many years played the role of such a prototype. It appears to be simple enough so that many of its properties can be understood, yet it is complex enough to display many of the fascinating characteristics of biomolecules. One major achievement in the study of any protein would be the establishment of convincing connections among structure, kinetics, energy landscape, dynamics, and function. We believe that this goal has not yet been reached in any protein, but the present knowledge of Mb gives some hope that the end is near in this case. Here, we sketch some of the results that have been obtained in the past 50 or more years in the research on Mb, obtained by an army of investigators.

Photoinduced transient absorbance spectra of P840/P840(+) and the FMO protein in reaction centers of Chlorobium vibrioforme

The kinetics of photoinduced absorbance changes in the 400-ns to 100-ms time range were studied between 770 and 1025 nm in reaction center core (RCC) complexes isolated from the green sulfur bacterium Chlorobium vibrioforme. A global, multiple stretched-exponential analysis shows the presence of two distinct but strongly overlapping spectra. The spectrum of the 70-micros component consists of a broad bleaching with two minima at 810 and 825 nm and a broad positive band at wavelengths greater than 865 nm and is assigned to the decay of (3)Bchl a of the Fenna-Matthews-Olson (FMO) protein. The contribution of the 70-micros component correlates with the amount of FMO protein in the isolated RCC complex. The spectrum of the 1.6-micros component has a sharp bleaching at 835 nm, a maximum at 805 nm, a broad positive band at wavelengths higher than 865 nm, and a broad negative band at wavelengths higher than 960 nm. When the RCC is incubated with inorganic iron and sulfur, the 1.6-micros component is replaced by a component with a lifetime of approximately 40 micros, consistent with the reconstruction of the F(X) cluster. We propose that the 1.6-micros component results from charge recombination between P840(+) and an intermediate electron acceptor operating between A(0) and F(X). Our studies in Chlorobium RCCs show that approaches that employ a single wavelength in the measurement of absorption changes have inherent limitations and that a global kinetic analysis at multiple wavelengths in the near-infrared is required to reliably separate absorption changes due to P840/P840(+) from the decay of (3)Bchl a in the FMO protein.

Electrogenic proton transfer in Rhodobacter sphaeroides reaction centers: effect of coenzyme Q(10) substitution by decylubiquinone in the Q(B) binding site

An electrometric technique was used to investigate the effect of coenzyme Q(10) (UQ), substitution by decylubiquinone (dQ) at the Q(B) binding site of reaction centers (UQ-RC and dQ-RC, respectively) on the electrogenic proton transfer kinetics upon Q(B) reduction in Rhodobacter sphaeroides chromatophores. Unlike dQ-RC, the kinetics of the second flash-induced proton uptake in UQ-RC clearly deviated from the mono-exponential one. The activation energy (about 30 kJ/mol) and the pH profile of the kinetics in dQ-RC were similar to those in UQ-RC, with the power law approximation used in the latter case. The interpretation of the data presumed the quinone translocation between the two binding positions within the Q(B) site. It is proposed that the native isoprenyl side chain (in contrast to decyl chain) favors the equilibrium binding of neutral quinone at the redox-active 'proximal' position, but causes a higher barrier for the hydroquinone movement from 'proximal' to 'distal' position.

Evidence for protein dielectric relaxations in reaction centers associated with the primary charge separation detected from Rhodospirillum rubrum chromatophores by combined photovoltage and absorption measurements in the 1-15 ns time range

Fast photovoltage measurements in Rhodospirillum rubrum chromatophores in the nanosecond time range, escorted by time-resolved absorption measurements, are described. Under reducing conditions, the photovoltage decayed significantly faster than the spectroscopically detected charge recombination of the radical pair P(+)H(A)(-). This indicates the occurrence of considerable dielectric relaxations. Our data and data from the literature were analyzed by means of a reaction scheme consisting of three states, namely, A, P, and P(+)H(A)(-). A time-dependent DeltaG(t) was introduced by assuming a time-dependent rate constant of the back-reaction, k(-1)(t). With the exception of the latter rate constant, all other parameters of the model are reliably known within narrow limits. This allowed us to distinguish between the three cases assumed for DeltaG degrees (t): (1)DeltaG degrees (t) = constant; (2)DeltaG degrees (t) as published by Peloquin et al. [Peloquin, J. M., Williams, J. C., Lin, X. M., Alden, R. G., Taguchi, A. K. W., Allen, J. P., and Woodbury, N. W. (1994) Biochemistry 33, 8089-8100]; and a (3)DeltaG degrees (t) that fits the present data. The assumption that (1)DeltaG degrees (t) = constant is incompatible with our photovoltage data, and (2)DeltaG degrees (t) is incompatible with the constraint that the ratio of fluorescence yields in the closed and open state is F(m)/F(o) approximately 2. We specify a (3)DeltaG degrees (t) that should be valid for photosynthetic reaction centers in vivo. Furthermore, the overall kinetics of the electric relaxation, e(t), in response to the primary charge separation were determined.

Long-lived charge-separated states in bacterial reaction centers isolated from Rhodobacter sphaeroides

We studied the accumulation of long-lived charge-separated states in reaction centers isolated from Rhodobacter sphaeroides, using continuous illumination, or trains of single-turnover flashes. We found that under both conditions a long-lived state was produced with a quantum yield of about 1%. This long-lived species resembles the normal P(+)Q(-) state in all respects, but has a lifetime of several minutes. Under continuous illumination the long-lived state can be accumulated, leading to close to full conversion of the reaction centers into this state. The lifetime of this accumulated state varies from a few minutes up to more than 20 min, and depends on the illumination history. Surprisingly, the lifetime and quantum yield do not depend on the presence of the secondary quinone, Q(B). Under oxygen-free conditions the accumulation was reversible, no changes in the normal recombination times were observed due to the intense illumination. The long-lived state is responsible for most of the dark adaptation and hysteresis effects observed in room temperature experiments. A simple method for quinone extraction and reconstitution was developed.

Trapping conformational intermediate states in the reaction center protein from photosynthetic bacteria

In protein, conformational changes are often crucial for function but not easy to observe. Two functionally relevant conformational intermediate states of photosynthetic reaction center protein (RCs) are trapped and characterized at low temperature. RCs frozen in the dark do not allow electron transfer from the reduced primary quinone, Q(A)(-), to the secondary quinone, Q(B). In contrast, RCs frozen under illumination in the product (P(+)Q(A)Q(B)(-)) state, with the oxidized electron donor, P(+), and reduced Q(B)(-), return to the ground state at cryogenic temperature in a conformation that allows a high yield of Q(B) reduction. Thus, RCs frozen under illumination are found to be trapped above the ground state in a conformation that allows product formation. When the temperature is raised above 120 K, the protein relaxes to an inactive conformation which is different from the RCs frozen in the dark. The activation energy for this change is 87 +/- 8 meV, and the active and inactive states differ in energy by only 16 +/- 3 meV. Thus, there are several conformational substates along the reaction coordinate with different transition temperatures. The ground state spectra of the RCs in active and inactive conformations report differences in the intraprotein electrostatic field, demonstrating that the dipole or charge distribution has changed. In addition, the electrochromic shift associated with the Q(A)(-) to Q(B) electron transfer at low temperature was characterized. The electron-transfer rate from Q(B)(-) to P(+) was measured at cryogenic temperature and is similar to the rate at room temperature, as expected for an exothermic, electron tunneling reaction in RCs.

Photosynthetic electron transfer controlled by protein relaxation: analysis by Langevin stochastic approach

Relaxation processes in proteins range in time from picoseconds to seconds. Correspondingly, biological electron transfer (ET) could be controlled by slow protein relaxation. We used the Langevin stochastic approach to describe this type of ET dynamics. Two different types of kinetic behavior were revealed, namely: oscillating ET (that could occur at picoseconds) and monotonically relaxing ET. On a longer time scale, the ET dynamics can include two different kinetic components. The faster one reflects the initial, nonadiabatic ET, whereas the slower one is governed by the medium relaxation. We derived a simple relation between the relative extents of these components, the change in the free energy (DeltaG), and the energy of the slow reorganization Lambda. The rate of ET was found to be determined by slow relaxation at -DeltaG < or = Lambda. The application of the developed approach to experimental data on ET in the bacterial photosynthetic reaction centers allowed a quantitative description of the oscillating features in the primary charge separation and yielded values of Lambda for the slower low-exothermic ET reactions. In all cases but one, the obtained estimates of Lambda varied in the range of 70-100 meV. Because the vast majority of the biological ET reactions are only slightly exothermic (DeltaG > or = -100 meV), the relaxationally controlled ET is likely to prevail in proteins.

The role of structure, energy landscape, dynamics, and allostery in the enzymatic function of myoglobin

The grail of protein science is the connection between structure and function. For myoglobin (Mb) this goal is close. Described as only a passive dioxygen storage protein in texts, we argue here that Mb is actually an allosteric enzyme that can catalyze reactions among small molecules. Studies of the structural, spectroscopic, and kinetic properties of Mb lead to a model that relates structure, energy landscape, dynamics, and function. Mb functions as a miniature chemical reactor, concentrating and orienting diatomic molecules such as NO, CO, O(2), and H(2)O(2) in highly conserved internal cavities. Reactions can be controlled because Mb exists in distinct taxonomic substates with different catalytic properties and connectivities of internal cavities.

Dynamically controlled protein tunneling paths in photosynthetic reaction centers

Marcus theory has explained how thermal nuclear motions modulate the energy gap between donor and acceptor sites in protein electron transfer reactions. Thermal motions, however, may also modulate electron tunneling between these reactions. Here we identify a new mechanism of nuclear dynamics amplification that plays a central role when interference among the dominant tunneling pathway tubes is destructive. In these cases, tunneling takes place in protein conformations far from equilibrium that minimize destructive interference. As an example, we demonstrate how this dynamical amplification mechanism affects certain reaction rates in the photosynthetic reaction center and therefore may be critical for biological function.

Self-regulation phenomena in bacterial reaction centers. I. General theory

A model for light-induced charge separation in a donor-acceptor system of the reaction center of photosynthetic bacteria is described. This description is predicated on a self-regulation of the flow of photo-activated electrons due to self-consistent, slow structural rearrangements of the macromolecule. Effects of the interaction between the separated charges and the slow structural modes of the biomolecule may accumulate during multiple, sequential charge transfer events. This accumulation produces non-linear dynamic effects on system function, providing a regulation of the charge separation efficiency. For a biomolecule with a finite number of different charge-transfer states, the quasi-stationary populations of these states with a localized electron on different cofactors may deviate from a Lagmuir law dependence with actinic light intensity. Such deviations are predicted by the model to be due to light-induced structural changes. The theory of self-regulation developed here assumes that light-induced changes in the effective adiabatic potential occur along a slow structural coordinate. In this model, a "light-adapted" conformational state appears when bifurcation produces a new minimum in the adiabatic potential. In this state, the lifetime of the charge-separated state may be quite different from that of the "dark-adapted" conformation. The results predicted by this theory agree with previously obtained experimental results on photosynthetic reaction centers.

Cumulant analysis of charge recombination kinetics in bacterial reaction centers reconstituted into lipid vesicles

The kinetics of charge recombination between the primary photoxidized donor (P(+)) and the secondary reduced quinone acceptor (Q(B)(-)) have been studied in reaction centers (RCs) from the purple photosynthetic bacterium Rhodobacter sphaeroides incorporated into lecithin vesicles containing large ubiquinone pools over the temperature range 275 K </= T </= 307 K. To account for the non-exponential kinetics of P(+) re-reduction observed following a flash, a new approach has been developed, based on the following assumptions: 1) the exchange of quinone between different vesicles is negligible; 2) the exchange of quinone between the Q(B) site of the RC and the quinone pool within each single vesicle is faster than the return of the electron from the primary reduced acceptor Q(A)(-) to P(+); 3) the size polydispersity of proteoliposomes and the distribution of quinone molecules among them result in a quinone concentration distribution function, P(Q). The first and second moments of P(Q) have been evaluated from the size distribution of proteoliposomes probed by quasi-elastic light scattering (mean radius, <R> = (50 +/- 15) nm). Following these premises, we describe the kinetics of P(+)Q(B)(-) recombination with a truncated cumulant expansion and relate it to P(Q) and to the free energy changes for Q(A)(-)Q(B) --> Q(A)Q(B)(-) electron transfer (DeltaG(AB)(o)) and for quinone binding (DeltaG(bind)(o)) at Q(B). The model accounts well for the temperature and quinone dependence of the charge recombination kinetics, yielding DeltaG(AB)(o) = -7.67 +/- 0.05 kJ mol(-1) and DeltaG(bind)(o) = -14.6 +/- 0.6 kJ mol(-1) at 298 K.

Dipyridamole and its derivatives modify the kinetics of the electron transport in reaction centers from Rhodobacter sphaeroides

A well known vasodilator dipyridamole (DIP), 2,6-bis(diethanolamino)-4,8-dipiperidinopyrimido[5,4-d]pyrim idine, and its derivatives have recently been shown as potential co-activators (modulators) in the phenomenon of multidrug resistance (MDR) in cancer therapy. They inhibit the specific function of a transmembrane P-glycoprotein responsible for the ex-flux of anti-cancer drugs from tumor cells. To clarify molecular mechanisms of the anti-MDR activity of DIP and its two derivatives, RA25 and RA47, we have studied their effects on electron transport in reaction centers (RC) from purple photosynthetic bacteria Rb. sphaeroides, using RC as a model system. Increasing concentrations of DIP and RA47 progressively accelerate the back electron transfer from the primary quinone acceptor QA to the bacteriochlorophyll dimer Bchl2 (Bchl2+ -QA- recombination). In the absence of o-phenantroline, when both quinone acceptors QA and QB are involved in the electron transport, RA47 is more effective than DIP. DIP stabilizes the electron on the secondary quinone acceptor QB, the effect manifested as the retardation of Bchl2+ -QB- recombination. Effects of RA25 are negligible in all cases. The drugs are proposed to change the electron transport affecting the RC structural dynamics and the stabilization of the electron on quinone acceptors through modification of H-bonds in the system.

A kinetic assessment of the sequence of electron transfer from F(X) to F(A) and further to F(B) in photosystem I: the value of the equilibrium constant between F(X) and F(A)

The x-ray structure analysis of photosystem I (PS I) crystals at 4-A resolution (Schubert et al., 1997, J. Mol. Biol. 272:741-769) has revealed the distances between the three iron-sulfur clusters, labeled F(X), F(1), and F(2), which function on the acceptor side of PS I. There is a general consensus concerning the assignment of the F(X) cluster, which is bound to the PsaA and PsaB polypeptides that constitute the PS I core heterodimer. However, the correspondence between the acceptors labeled F(1) and F(2) on the electron density map and the F(A) and F(B) clusters defined by electron paramagnetic resonance (EPR) spectroscopy remains controversial. Two recent studies (Diaz-Quintana et al., 1998, Biochemistry. 37:3429-3439;, Vassiliev et al., 1998, Biophys. J. 74:2029-2035) provided evidence that F(A) is the cluster proximal to F(X), and F(B) is the cluster that donates electrons to ferredoxin. In this work, we provide a kinetic argument to support this assignment by estimating the rates of electron transfer between the iron-sulfur clusters F(X), F(A), and F(B). The experimentally determined kinetics of P700(+) dark relaxation in PS I complexes (both F(A) and F(B) are present), HgCl(2)-treated PS I complexes (devoid of F(B)), and P700-F(X) cores (devoid of both F(A) and F(B)) from Synechococcus sp. PCC 6301 are compared with the expected dependencies on the rate of electron transfer, based on the x-ray distances between the cofactors. The analysis, which takes into consideration the asymmetrical position of iron-sulfur clusters F(1) and F(2) relative to F(X), supports the F(X) --> F(A) --> F(B) --> Fd sequence of electron transfer on the acceptor side of PS I. Based on this sequence of electron transfer and on the observed kinetics of P700(+) reduction and F(X)(-) oxidation, we estimate the equilibrium constant of electron transfer between F(X) and F(A) at room temperature to be approximately 47. The value of this equilibrium constant is discussed in the context of the midpoint potentials of F(X) and F(A), as determined by low-temperature EPR spectroscopy.

Conformational gating of the electron transfer reaction QA-.QB --> QAQB-. in bacterial reaction centers of Rhodobacter sphaeroides determined by a driving force assay

The mechanism of the electron transfer reaction, QA-.QB --> QAQB-., was studied in isolated reaction centers from the photosynthetic bacterium Rhodobacter sphaeroides by replacing the native Q10 in the QA binding site with quinones having different redox potentials. These substitutions are expected to change the intrinsic electron transfer rate by changing the redox free energy (i.e., driving force) for electron transfer without affecting other events that may be associated with the electron transfer (e.g., protein dynamics or protonation). The electron transfer from QA-. to QB was measured by three independent methods: a functional assay involving cytochrome c2 to measure the rate of QA-. oxidation, optical kinetic spectroscopy to measure changes in semiquinone absorption, and kinetic near-IR spectroscopy to measure electrochromic shifts that occur in response to electron transfer. The results show that the rate of the observed electron transfer from QA-. to QB does not change as the redox free energy for electron transfer is varied over a range of 150 meV. The strong temperature dependence of the observed rate rules out the possibility that the reaction is activationless. We conclude, therefore, that the independence of the observed rate on the driving force for electron transfer is due to conformational gating, that is, the rate limiting step is a conformational change required before electron transfer. This change is proposed to be the movement, controlled kinetically either by protein dynamics or intermolecular interactions, of QB by approximately 5 A as observed in the x-ray studies of Stowell et al. [Stowell, M. H. B., McPhillips, T. M., Rees, D. C., Soltis, S. M., Abresch, E. & Feher, G. (1997) Science 276, 812-816].