Distributed Kinetics of the Charge Movements in Bacteriorhodopsin: Evidence for Conformational Substates

The flash-induced charge movements during the photocycle of light-adapted bacteriorhodopsin in purple membranes attached to a black lipid membrane were investigated under voltage clamp and current clamp conditions. Signal registration ranged from 200 ns to 30 s after flash excitation using a logarithmic clock, allowing the equally weighted measurement of the electrical phenomena over eight decades of time. The active pumping signals were separated from the passive system discharge on the basis of an equivalent circuit analysis. Both measuring methods were shown to yield equivalent results, but the charge translocation could be accurately monitored over the whole time range only under current clamp conditions. To describe the time course of the photovoltage signals a model based on distributed kinetics was found to be more appropriate than discrete first order processes suggesting the existence of conformational substates with distributed activation energies. The time course of the active charge displacement is characterised by a continuous relaxation time spectrum with three broad peaks plus an unresolved fast transient (<0.3 μs) of opposite polarity. The time constants and relative amplitudes (in brackets) derived from the peak rate constants and relative areas of the three bands are: τ₁ = 32 μs (20%), τ₂ = 0.89 ms (15%) and τ₃ = 18 ms (65%) at 25°C in 150 mM KCl at pH7. The Arrhenius plots of the peak rate constants were linear yielding activation energies of E_A1 = 57 kJ/mol, E_A2 = 52 kJ/mol, and E_A3 = 44 kJ/mol. The electrical signal at 890 μs has no counterpart in the photocycle of bacteriorhodopsin suspensions. Fits with a sum of exponentials required 5 to 6 components and were not reproducible. Analysis of photoelectrical signals with continuous relaxation time spectra gave equally good fits with fewer parameters and were well reproducible.     

Events in proton pumping by bacteriorhodopsin.

The short-circuit photoresponse of a bacteriorhodopsin-based photoactive membrane is studied. The membrane is formed by first coating a Teflon membrane with lipid and then fusing bacteriorhodopsin vesicles to it. An incandescent light source was used to obtain the rise time of the photocurrent in response to a step-function illumination. A fast response, less than 1 ms, characterizes the initial rise and decay of the photocurrent. The trailing edge of the rise and trailing edge of the decay each exhibit different time constants both greater than 1 ms. These slower components show a sensitivity to membrane charging, the presence of diethylether in the bathing solution, and the presence of a charged cation complex in the lipid region. The photoresponse is not analyzed by means of the usual equivalent electrical circuit, but rather in terms of image charges in the conducting electrolyte bathing the membrane. Further experiments using a pulsed laser (pulse width less than 1 microseconds) resolve at least three time constants in the photoresponse: 0.057 ms, 1.06 ms, and 13 ms. Three distinct charge displacements (4.4, 7.5, and 33.1 A) are derived from the data, each corresponding to one of the above time constants.     

Photovoltage kinetics of the acid-blue and acid-purple forms of bacteriorhodopsin: evidence for no net charge transfer.

Time-resolved photovoltage measurements were performed with the acid-blue (bR605A) and acid-purple (bR565A) forms of bacteriorhodopsin (bR) in the time range from 25 ns to 100 s. The bR605A and bR565A pigments were formed by titration with H2SO4 in the absence and presence of 150 mM KCI, respectively. Qualitatively the kinetics of the charge displacement in these two states are similar and consist of two fast phases in one direction (100 ns bandwidth limited and approximately 1 microsecond) followed by a decay in the opposite direction via one component for bR605A (4.4 +/- 0.6 ms) or two components for bR565A (33 +/- 8 microseconds and 3.6 +/- 0.5 ms). The transient photovoltage signal returns exactly to the initial value after several milliseconds, well before the passive discharge of the electrical measuring system at 2 s. We conclude that no net charge transfer occurs in either bR605A or bR565A. The direction of the fast components is opposite that of net proton translocation in bR at pH 7. So, if the charge that moves back and forth is due to a proton, it moves first in the direction of the cytoplasmic side of the membrane (< 1 microsecond) and returns to its initial position via the 4.4 ms (bR605A) or the 33 microseconds and 3.6 ms (bR565A) decay components. The amplitude of the charge motion in both low pH forms is too large to be due to isomerization alone and is comparable to one of the major components in bR at pH 7.2     

Evidence that the photoelectric response of bacteriorhodopsin occurs in less than 5 picoseconds

The initial photoinduced charge separation in bacteriorhodopsin is shown to occur in <5 ps. This result is obtained by measuring the photovoltage rise time in an oriented film of bacteriorhodopsin (BR). A dye laser syncronously pumped by an Argon ion cw mode locked laser is used to produce 3-ps light pulses which, after passing through a dye amplifier chain, photoexcite the BR sample. The photovoltage transient is detected by an ultra-fast Josephson junction digital sampling oscilloscope with liquid-helium-cooled input circuitry.     

The reaction cycle of bacteriorhodopsin: an analysis using visible absorption,photocurrent and infrared techniques

The light activated absorbance changes and photo-electric events of bacteriorhodopsin (bR) were simultaneously measured. The results were compared with the kinetics of the time resolved infrared signals which are characteristic for protonation changes of Asp residues, chromophore vibrations, and amide I vibrations. Each data set was analyzed separately. Assuming first order reactions the experimental curves in the time range from L back to bR could be fitted by a sum of five exponentials. However, for the photocurrent signal only four exponentials were necessary. The corresponding half-life times were of the same order of magnitude. Simultaneous fits of the traces from absorption changes in the visible range and the photocurrent signal provided evidence that the photocurrent data could also be described by the same sum of exponentials as the data obtained in the visible range. The rate constants obtained from the different methods applied were, within the limits of error, identical. These results demonstrate that retinal monitors not only charge displacements but also conformational movements of the protein moiety. The reprotonation of the Schiff base occurs synchronously with a protonation change of an internal aspartic acid which absorbs at 1755 cm^–1. From the IR-signals, amplitude spectra could be derived which provided evidence that Asp-residues absorbing at 1765 cm^–1 (Asp85) and 1755 cm^–1 are still protonated in the O-intermediate. Major conformational changes of the peptide back bone occur in the time range of the L M transition and with opposite sign during the decay of the O-intermediate. Offprint requests to: M. Engelhard     

Ion transport and displacement currents with membrane-bound carriers

Summary The standard carrier model for ion transport by a one-to-one mechanism is developed to predict the time-dependent currents for systems that are symmetrical at zero applied potential. The complete solution for ions and carriers bearing any charge is derived by assuming that the concentration of ions in the membrane is low and either that the applied potential is small or that the applied potential affects equally all of the association and dissociation reactions between the ions and the carriers. The response to an abruptly applied potential is then given by the sum of a constant and two declining exponential terms. The time constants of these relaxations are described by the equations derived for neutral carriers by Stark, Ketterer, Benz and Läuger in 1971 (Biophys. J. 11:981). The sum of the amplitudes of the exponentials for small applied potentials obeys a relation like that first derived by Markin and Liberman in 1973 (Biofizika 18:453). For small applied potentials expressions are also provided for the voltage transients in charge-pulse experiments and for the membrane admittance.     

Volume and enthalpy changes in the early steps of bacteriorhodopsin photocycle studied by time-resolved photoacoustics.

We have studied the photoinduced volume changes, energetics, and kinetics in the early steps of the bacteriorhodopsin (BR) photocycle with pulsed, time-resolved photoacoustics. Our data show that there are two volume changes. The fast volume change ( < or = 200 ns) is an expansion (2.5 +/- 0.3 A3/molecule) and is observed exclusively in the purple membrane (PM), vanishing in the 3-[(3-cholamidopropyl)-dimethylammonio] -1-propane-sulfonate-sulfonate-solubilized BR sample; the slow change (approximately 1 micros) is a volume contraction (-3.7 +/- 0.3 A3/molecule). The fast expansion is assigned to the restructuring of the aggregated BR in the PM, and the 1-micros contraction to the change in hydrogen bonding of water at Asp 212 (Kandori et al. 1995. J. Am. Chem. Soc. 117:2118-2119). The formation of the K intermediate releases most of the absorbed energy as heat, with delta Hk = -36 +/- 8 kJ/mol. The activation energy of the K --> L step is 49 +/- 6 kJ/mol, but the enthalpy change is small, -4 +/- 10 kJ/mol. On the time scale we studied, the primary photochemical kinetics, enthalpy, and volume changes are not affected by substituting the solvent D2O for H2O. Comparing data on monomeric and aggregated BR, we conclude that the functional unit for the photocycle is the BR monomer, because both the kinetics (rate constant and activation energy) and the enthalpy changes are independent of its aggregation state.     

Two components of voltage-dependent inactivation in Ca(v)1.2 channels revealed by its gating currents

Voltage-dependent inactivation (VDI) was studied through its effects on the voltage sensor in Ca(v)1.2 channels expressed in tsA 201 cells. Two kinetically distinct phases of VDI in onset and recovery suggest the presence of dual VDI processes. Upon increasing duration of conditioning depolarizations, the half-distribution potential (V(1/2)) of intramembranous mobile charge was negatively shifted as a sum of two exponential terms, with time constants 0.5 s and 4 s, and relative amplitudes near 50% each. This kinetics behavior was consistent with that of increment of maximal charge related to inactivation (Qn). Recovery from inactivation was also accompanied by a reduction of Qn that varied with recovery time as a sum of two exponentials. The amplitudes of corresponding exponential terms were strongly correlated in onset and recovery, indicating that channels recover rapidly from fast VDI and slowly from slow VDI. Similar to charge "immobilization," the charge moved in the repolarization (OFF) transient became slower during onset of fast VDI. Slow VDI had, instead, hallmarks of interconversion of charge. Confirming the mechanistic duality, fast VDI virtually disappeared when Li(+) carried the current. A nine-state model with parallel fast and slow inactivation pathways from the open state reproduces most of the observations.     

Allosteric interactions of the membrane-bound acetylcholine reception: kinetic studies with alpha-bungarotoxin.

The specific and irreversible reaction of a snake neurotoxin, α-bungarotoxin, with the acetylcholine receptor of electroplax membrane preparations from $\text{Electrophorus electricus}$ proceeds by an initial fast phase followed by a slower one. The fraction of the reaction in the fast phase increases with increasing initial toxin concentrations, while the fraction going slowly decreases correspondingly. Both phases are affected by compounds which initiate or inhibit nerve impulse transmissions. The time course of the reaction can be fitted to the sum of two exponentials. The dependence on initial toxin concentration of the two exponentials, and of the fraction of reaction governed by the exponentials, can be fitted to a minimum reaction mechanism which involves at least two types of toxin binding sites with different dissociation constants and ligand-induced conversion of one type of site into the other. The mechanism is consistent with our previous data which showed that activators and inhibitors of membrane electrical potential changes occupy separate sites, only half of which interact. This type of mechanism has been seen in a number of allosteric regulatory enzymes.     

Recovery of Ca currents from inactivation: The roles of Ca influx,membrane potential,and cellular metabolism

Ca currents were examined with regard to their recovery from inactivation. The experiments were done on isolated nerve cell bodies of Helix aspersa using a combined suction pipet , microelectrode method for voltage clamp, and internal perfusion. Ca currents were separated by suppressing K and Na currents. The time course of recovery was determined by applying a test pulse at intervals ranging from 1 msec to 20 sec after prepulses varying from 20 to 3000 msec in duration. Each pair of pulses was preceded by a control pulse to ensure that the Ca currents had recovered before the next test pair was applied. Ba and Ca currents were compared and the effects of intracellular perfusion with EGTA, ATP, and vanadate were examined. Ba currents recovered in two stages and this time course was well fit by a sum of two exponentials with amplitudes and time constants given by A1 and tau 1 for the fast component and A2 and tau 2 for the slow component. In Ba the time constants were unchanged when prepulse durations were prolonged from 70 to 700 msec, although the initial amplitudes A1 and A2, particularly A2, were increased. Comparable influxes of Ca during the prepulse caused much more inactivation, but interestingly the recovery occurred at the same rate. The time course of Ca current recovery was also fit by a sum of two exponentials, the time constants of which were both smaller than the time constants of Ba current recovery. However, the time constants of Ca current recovery were increased markedly when prepulse durations were prolonged. Increasing the extracellular Ca concentration had a similar effect. Increasing the Ba influx had no effect on the recovery time constants, and the Ba results are consistent with reversible inactivation gating of potential-dependent membrane Ca channels. The Ca results show that Ca influx enhances inactivation. Intracellular perfusion with EGTA resulted in less inactivation in the cast of Ca but it had no effect on Ba currents. Intracellular ATP increased the rate of recovery of Ca currents, and intracellular vanadate inhibited recovery. It is concluded that recovery of Ca channels depends upon both Ca influx and membrane potential and is modulated by agents which affect Ca metabolism.     

Time-resolved charge movements in the sarcoplasmatic reticulum Ca-ATPase

The time-resolved kinetics of the Ca(2+)-translocating partial reaction of the sarcoplasmatic reticulum Ca-ATPase was investigated by ATP-concentration jump experiments. ATP was released by an ultraviolet light flash from its inactive precursor and charge movements in the membrane domain of the ion pumps were detected by the fluorescent styryl dye 2BITC. Two oppositely directed cation movements were found, which were assigned to Ca(2+) release and H(+) binding. The faster process with a typical time constant of 30 ms reports the rate-limiting process before Ca(2+) release, probably the conformation transition E(1) --> E(2). The following, slow uptake of positive charge had a pH-dependent time constant, which was 1 s at low pH and approximately 3 s at pH > 8. This process is assigned to an electrically silent conformational relaxation of the state P-E(2) preceding H(+) binding. This interpretation is in agreement with the observation that the fast process was independent of the substrate concentrations (i.e., when [Ca(2+)] > 200 nM, and [ATP] > 20 micro M). The slow process was independent of the Ca(2+) concentration. The activation energy of the resolved processes was between 80 kJ/mol and 90 kJ/mol, which is comparable to the activation energy of the enzymatic activity (92 kJ/mol) and these high values point to conformational changes underlying rate-limiting steps of the pump cycle.     

Studies on the reaction coordinates of the water oxidase in PS II membrane fragments from spinach.

The temperature dependence of the rate constants of the univalent redox steps YzoxSi----YzSi + 1 (i = 0,1,2) and YzoxS3----(YzS4)----YzSo + O2 in the water oxidase was investigated by measuring time resolved absorption changes at 355 nm induced by a laser flash train in dark adapted PS II membrane fragments from spinach. Activation energies of 5.0, 12.0 and 36.0 kJ/mol were obtained for the reactions YzoxSi----YzSi + 1 with i = 0,1 and 2, respectively. The reaction YzoxS3----(YzS4)----YzS0 + O2 exhibits a temperature dependence with a characteristic break point at 279 K with activation energies of 20 kJ/mol (T greater than 279 K) and 46 kJ/mol (T less than 279 K). Evaluation of the data within the framework of the classical Marcus theory of nonadiabatic electron transfer [(1985) Biochim. Biophys. Acta 811, 265-322] leads to the conclusion that the S2 oxidation to S3 is coupled with significant structural changes. Furthermore, the water oxidase in S3 is inferred to attain two different conformational states with populations that markedly change at a characteristic transition temperature.     

Kinetics of the association of potential-sensitive dyes with model and energy-transducing membranes: Implications for fast probe response times

Summary The second-order rate constants characterizing the association of potential-sensing dyes of the cyanine, merocyanine, and oxonol classes with glycerylmonooleate suspensions, azolectin vesicles, or submitochondrial particles have been measured and the implications for redistribution type mechanisms proposed to explain the potential-dependent optical signals of these probes considered. The second-order rate constants obtained for the cyanines and oxonols are compatible with microsecond probe response times only on the assumption that a high local dye concentration exists in the aqueous phase immediately adjacent to the membrane surface. Calculations based on a surface charge density induced by a bias potential suggest that the necessary local concentration cannot be attained by a diffusion polarization mechanism. A model based on the rapid recombination of ejected dye with the membrane bilayer seems capable of explaining microsecond probe response times in systems where the potential is rapidly changing polarity; calculations suggest that an ejected dye molecule would not diffuse out of an unstirred layer of 100 microns thickness on a millisecond time scale. Microsecond probe responses are also compatible with a first-order potential-dependent dye ejection from the membrane with no rapid recombination when the potential is not changing polarity. The apparent first-order rate constants describing the interaction of merocanine M-540 with a glycerylmonooleate suspension are independent of dye concentration; the reaction may be diffusion limited. The high local dye concentration need not be met in this case for a mechanism based on the transfer of dye onto the membrane from the aqueous phase to describe the microsecond signals of this dye, but other mechanisms have been proposed to explain such signals. The mechanism leading to potentialdependent signals from optical probes appear to differ substantially between suspensions of energy-transducing biological membranes and those involving excitable membranes such as the squid giant axon or model black lipid membranes.     

Kinetics of Ca2+ binding to the SR Ca-ATPase in the E1 state

The time-resolved kinetics of Ca2+ binding to the SR Ca-ATPase in the E1 state was investigated by Ca(2+)-concentration jump experiments. Ca2+ was released by an ultraviolet-light flash from caged calcium, and charge movements in the membrane domain of the ion pumps were detected by the fluorescent styryl dye 2BITC. The partial reaction (H3E1 <-->) E1 <--> CaE1 <--> Ca2E1 can be characterized by two time constants, tau1 and tau2, both of which are not significantly Ca(2+)-concentration-dependent and only weakly pH-dependent at pH < 7.5. Both time constants differ by a factor of approximately 50 (4.7 vs. 200 ms). The weak substrate-dependence indicates that the rate-limiting process is not related to Ca2+ migration through the access channel and ion binding to the binding sites but to conformational rearrangements preceding the ion movements. The high activation energy obtained for both processes, 42.3 kJ mol(-1) and 60.3 kJ mol(-1) at pH 7.2, support this concept. Transient binding of Ca ions to the loop L67 and a movement of the Ca-loaded loop are discussed as a mechanism that facilitates the entrance of both Ca ions into the access channel to the ion-binding sites.     

Evidence for multiple open states of sodium channels in neuroblastoma cells

Summary Open times of voltage-gated sodium channels in neuroblastoma cells were measured during repolarization (following a short depolarizing conditioning pulse) and during moderate depolarization. Conditional and unconditional channel open-time histograms were best fitted by the sum of two exponentials. (The conditional open time was measured from the end of the conditioning pulse until an open channel shuts provided it was open att=0). Time constants of both histograms depended on the postpulse and were shifted to more positive potentials with increasing conditioning pulse potential. This shift could be explained by assuming more than two time constants in the histograms, which could not be separated. Channel open-time histograms from single-pulse experiments showed a maximum att>0. These histograms could be best fitted by an exponential function with three time constants. One term of this function included the difference of two exponentials resulting in a maximum att>0. Open-time histograms showed a definite time dependence. At 2 to 6.5 msec after the beginning of the depolarization the best fit could be obtained by the difference of two exponentials. To these components another term had to be added at 0 to 2 msec. Between 6.5 and 14.0 msec the sum of two exponentials, and after 14.0 msec a single exponential resulted in a good fit. The results support the hypothesis that sodium channels in neuroblastoma cells may have multiple open states. Two of these states are irreversibly coupled.     

Cell responses to single pheromone molecules may reflect the activation kinetics of olfactory receptor molecules

Olfactory receptor cells of the silkmoth Bombyx mori respond to single pheromone molecules with "elementary" electrical events that appear as discrete "bumps" a few milliseconds in duration, or bursts of bumps. As revealed by simulation, one bump may result from a series of random openings of one or several ion channels, producing an average inward membrane current of 1.5 pA. The distributions of durations of bumps and of gaps between bumps in a burst can be fitted by single exponentials with time constants of 10.2 ms and 40.5 ms, respectively. The distribution of burst durations is a sum of two exponentials; the number of bumps per burst obeyed a geometric distribution (mean 3.2 bumps per burst). Accordingly the elementary events could reflect transitions among three states of the pheromone receptor molecule: the vacant receptor (state 1), the pheromone-receptor complex (state 2), and the activated complex (state 3). The calculated rate constants of the transitions between states are k(21)=7.7 s(-1), k(23)=16.8 s(-1), and k(32)=98 s(-1).     

Direct correlation between the R2 component of the early receptor potential and the formation of Metarhodopsin II in the excised bovine retina

The formation of Metarhodopsin II, measured spectroscopically in the excised bovine retina at 37 C, can be described by the sum of two exponentials. The R2 response of a simultaneously recorded early receptor potential can be matched by the difference of two weighted exponentials, whose time constants are identical to those obtained for the spectroscopic signal.     

I. Primary electrogenic processes in bacteriorhodopsin probed by photoelectric measurements with capacitative metal electrodes

Purple membranes in suspension were electrically oriented between metal electrodes forming a planar capacitor and the flash-induced charge displacements were measured as a photovoltage. This geometry brought about unprecedented high time resolution, even at low ionic strengths. An electrical transmission window of this capacitative cuvette for open circuit photovoltage was characterized. The photovoltage from purple membranes displayed two phases of opposite polarity. The early negative phase resembled a step function in the submicrosecond range. When excited with picosecond laser flashes, this phase showed an instrumentally limited rise-time of about 380 ps, proving a primary charge separation in bacteriorhodopsin which is faster than or equal to 100 ps. The separated charges are stable for about 1 μs. Within the experimental resolution and within the time range between 380 ps and 1 μs, there was no relaxation which could be attributed to a protein relaxation or to a K′ intermediate. The photovoltage decayed with different time constants of the order of 1 μs, depending on the conductance of the medium. Of the same order were the cell time constant and the time constant of the decay of the spectral K intermediate. This hampered the evaluation of the correlation between the photovoltage and the K-L transition. Another positive phase had a smaller amplitude and displayed a time constant of 30 μs which did not depend on the conductivity of the medium. This phase was approx. 40% faster than the decay of the spectroscopically measured L-intermediate. The latter result indicates that charge displacements occur in the time range of the L-M transition, and are not exactly correlated to spectroscopic transients in the visible range.     

Evidence that spermine, spermidine, and putrescine are transported electrophoretically in mitochondria by a specific polyamine uniporter.

We present evidence that polyamine uptake into rat liver mitochondria is mediated by a specific polyamine uniporter. Polyamine transport is not mediated by the ornithine, lysine, or Ca2+ transporters of mitochondria. Polyamine transport is a saturable process, with apparent Km values of 0.13 mM for spermine, 0.26 mM for spermidine, and 1 mM for putrescine. These substrates are mutually competitive inhibitors, indicating a common transport system. Polyamine transport is strictly dependent on membrane potential and insensitive to medium pH, showing that these polycations are transported electrophoretically. Spermine, spermidine, and putrescine are taken up by rat liver mitochondria at rates that increase with increasing valence of the transported species. The activation enthalpies for transport were 24, 32, and 59 kJ/mol for putrescine, spermidine, and spermine, respectively. These values, which amount to about 12 kJ/mol per charge transferred, may be compared to a value of 76 kJ/mol observed for monovalent tetraethylammonium cation. Flux-voltage analysis is consistent with the hypothesis that the mitochondrial polyamine transporter catalyzes transport via a channel mechanism.     

Conditional open and delay time histograms of sodium channels

Currents through single sodium channels were recorded in neuroblastoma cells. Open time histograms were constructed from openings which appeared between 2.0 and 5.0 ms after the onset of the depolarization. Histograms constructed from openings which were not preceded by other openings showed a maximum at t greater than 0 in contrast to those, which were preceded by other openings. Time constants of delay time histograms fitted by the sum of two exponentials were different for the first, second and third records of runs. The results support the view that sodium channels have multiple open and closed states and the transition probabilities among the states depend on local conditions of the membrane.