Quantitative measurements of proton motive force and motility in Bacillus subtilis.

The protein motive force of metabolizing Bacillus subtilis cells was only slightly affected by changes in the external pH between 5 and 8, although the electrical component and the chemical component of the proton motive force contributed differently at different external pH. The electrical component of the proton motive force was very small at pH 5, and the chemical component was almost negligible at pH 7.5. At external pH values between 6 and 7.7, swimming speed of the cells stayed constant. Thus, either the electrical component or the chemical component of the proton motive force could drive the flagellar motor. When the proton motive force of valinomycin-treated cells was quantitatively decreased by increasing the external K+ concentration, the swimming speed of the cells changed in a unique way: the swimming speed was not affected until about--100 mV, then decreased linearly with further decrease in the proton motive force, and was almost zero at about--30 mV. The rotation rate of a flagellum, measured by a tethered cell, showed essentially the same characteristics. Thus, there are a threshold proton motive force and a saturating proton motive force for the rotation of the B. subtilis flagellar motor.     

Rhizobium meliloti swims by unidirectional, intermittent rotation of right-handed flagellar helices.

The 5 to 10 peritrichously inserted complex flagella of Rhizobium meliloti MVII-1 were found to form right-handed flagellar bundles. Bacteria swam at speeds up to 60 microns/s, their random three-dimensional walk consisting of straight runs and quick directional changes (turns) without the vigorous angular motion (tumbling) seen in swimming Escherichia coli cells. Observations of R. meliloti cells tethered by a single flagellar filament revealed that flagellar rotation was exclusively clockwise, interrupted by very brief stops (shorter than 0.1 s), typically every 1 to 2 s. Swimming bacteria responded to chemotactic stimuli by extending their runs, and tethered bacteria responded by prolonged intervals of clockwise rotation. Moreover, the motility tracks of a generally nonchemotactic ("smooth") mutant consisted of long runs without sharp turns, and tethered mutant cells showed continuous clockwise rotation without detectable stops. These observations suggested that the runs of swimming cells correspond to clockwise flagellar rotation, and the turns correspond to the brief rotation stops. We propose that single rotating flagella (depending on their insertion point on the rod-shaped bacterial surface) can reorient a swimming cell whenever the majority of flagellar motors stop.     

Study of the torque of the bacterial flagellar motor using a rotating electric field.

Bacterial flagella are driven by a rotary motor that is energized by an electrochemical ion gradient across the cell membrane. In this study the torque generated by the flagellar motor was measured in tethered cells of a smooth-swimming Escherichia coli strain by using rotating electric fields to determine the relationship between the torque and speed over a wide range. By measuring the electric current applied to the sample cell and combining the data obtained at different viscosities, the torque of the flagellar motor was estimated up to 55 Hz, and also at negative rotation rates. By this method we have found that the torque of the flagellar motor linearly decreases with rotation rate from negative through positive rate of rotation. In addition, the dependence of torque upon temperature was also investigated. We showed that torque at the high speeds encountered in swimming cells had a much steeper dependence on temperature that at the low speeds encountered in tethered cells. From these results, the activation energy of the proton transfer reaction in the torque-generating unit was calculated to be about 7.0 x 10(-20) J.     

Characterization of the Bacillus subtilis motile system driven by an artificially created proton motive force.

Transient swimming was induced in energy-depleted cells of Bacillus subtilis by an artificial proton motive force, which was created by valinomycin addition and a pH reduction. This system did not require any ions except protons in the medium. The size of the induced motility was strongly influenced by changes in the size of either the K+ diffusion potential or the pH gradient. A rough estimation indicated that a proton motive force higher than -100 mV was required for induction of translational swimming of the cell. Corresponding with the transient appearance of swimming, a rapid but transient efflux of K+ and influx of H+ were observed. With decreases in the rate of H+ influx, the amount of motility decreased. A rate of H+ influx higher than 0.2 mumol/s per ml of cell water gave translational swimming. These results suggest direct coupling of H+ influx to rotation of bacterial flagella.     

Effect of intracellular pH on rotational speed of bacterial flagellar motors

Weak acids such as acetate and benzoate, which partially collapse the transmembrane proton gradient, not only mediate pH taxis but also impair the motility of Escherichia coli and Salmonella at an external pH of 5.5. In this study, we examined in more detail the effect of weak acids on motility at various external pH values. A change of external pH over the range 5.0 to 7.8 hardly affected the swimming speed of E. coli cells in the absence of 34 mM potassium acetate. In contrast, the cells decreased their swimming speed significantly as external pH was shifted from pH 7.0 to 5.0 in the presence of 34 mM acetate. The total proton motive force of E. coli cells was not changed greatly by the presence of acetate. We measured the rotational rate of tethered E. coli cells as a function of external pH. Rotational speed decreased rapidly as the external pH was decreased, and at pH 5.0, the motor stopped completely. When the external pH was returned to 7.0, the motor restarted rotating at almost its original level, indicating that high intracellular proton (H+) concentration does not irreversibly abolish flagellar motor function. Both the swimming speeds and rotation rates of tethered cells of Salmonella also decreased considerably when the external pH was shifted from pH 7.0 to 5.5 in the presence of 20 mM benzoate. We propose that the increase in the intracellular proton concentration interferes with the release of protons from the torque-generating units, resulting in slowing or stopping of the motors.     

Protonmotive force and bacterial sensing

The role of the proton gradient and external pH in the motility and chemotaxis of Bacillus subtilis was investigated. Presence of a substantial proton gradient is not necessary for motility or chemotaxis, as long as the electrical potential is sufficient to maintain motility. Changes in the proton gradient do, however, lead to changes in swimming behavior, and these changes are mediated by two processes. One is sensitive to external pH and probably operates through a pH receptor. The second is sensitive to changes in the proton gradient. When the level of the protonmotive force is high enough to maintain motiligy, changes in the components of the protonmotive force are sensed by the bacteria and lead to behavioral changes, but changes in the protonmotive force are not necessary for chemotaxis.     

Ion selectivity of the Vibrio alginolyticus flagellar motor.

The marine bacterium, Vibrio alginolyticus, normally requires sodium for motility. We found that lithium will substitute for sodium. In neutral pH buffers, the membrane potential and swimming speed of glycolyzing bacteria reached maximal values as sodium or lithium concentration was increased. While the maximal potentials obtained in the two cations were comparable, the maximal swimming speed was substantially lower in lithium. Over a wide range of sodium concentration, the bacteria maintained an invariant sodium electrochemical potential as determined by membrane potential and intracellular sodium measurements. Over this range the increase of swimming speed took Michaelis-Menten form. Artificial energization of swimming motility required imposition of a voltage difference in concert with a sodium pulse. The cation selectivity and concentration dependence exhibited by the motile apparatus depended on the viscosity of the medium. In high-viscosity media, swimming speeds were relatively independent of either ion type or concentration. These facts parallel and extend observations of the swimming behavior of bacteria propelled by proton-powered flagella. In particular, they show that ion transfers limit unloaded motor speed in this bacterium and imply that the coupling between ion transfers and force generation must be fairly tight.     

Excitatory signaling in bacterial probed by caged chemoeffectors.

Chemotactic excitation responses to caged ligand photorelease of rapidly swimming bacteria that reverse (Vibrio alginolyticus) or tumble (Escherichia coli and Salmonella typhimurium) have been measured by computer. Mutants were used to assess the effects of abnormal motility behavior upon signal processing times and test feasibility of kinetic analyses of the signaling pathway in intact bacteria. N-1-(2-Nitrophenyl)ethoxycarbonyl-L-serine and 2-hydroxyphenyl 1-(2-nitrophenyl) ethyl phosphate were synthesized. These compounds are a 'caged' serine and a 'caged' proton and on flash photolysis release serine and protons and attractant and repellent ligands, respectively, for Tsr, the serine receptor. The product quantum yield for serine was 0.65 (+/- 0.05) and the rate of serine release was proportional to [H+] near-neutrality with a rate constant of 17 s-1 at pH 7.0 and 21 degrees C. The product quantum yield for protons was calculated to be 0.095 on 308-nm irradiation but 0.29 (+/- 0.02) on 300-350-nm irradiation, with proton release occurring at > 10(5) s-1. The pH jumps produced were estimated using pH indicators, the pH-dependent decay of the chromophoric aci-nitro intermediate and bioassays. Receptor deletion mutants did not respond to photorelease of the caged ligands. Population responses occurred without measurable latency. Response times increased with decreased stimulus strength. Physiological or genetic perturbation of motor rotation bias leading to increased tumbling reduced response sensitivity but did not affect response times. Exceptions were found. A CheR-CheB mutant strain had normal motility, but reduced response. A CheZ mutant had tumbly motility, reduced sensitivity, and increased response time to attractant, but a normal repellent response. These observations are consistent with current ideas that motor interactions with a single parameter, namely phosphorylated CheY protein, dictate motor response to both attractant and repellent stimuli. Inverse motility motor mutants with extreme rotation bias exhibited the greatest reduction in response sensitivity but, nevertheless, had normal attractant response times. This implies that control of CheY phosphate concentration rather than motor reactions limits responses to attractants.     

Kinetic model of ATP synthase: pH dependence of the rate of ATP synthesis

Recently, a novel molecular mechanism of torque generation in the F(0) portion of ATP synthase was proposed [Rohatgi, Saha and Nath (1998) Curr. Sci. 75, 716-718]. In this mechanism, rotation of the c-subunit was conceived to take place in 12 discrete steps of 30 degrees each due to the binding and unbinding of protons to/from the leading and trailing Asp-61 residues of the c-subunit, respectively. Based on this molecular mechanism, a kinetic scheme has been developed in this work. The scheme considers proton transport driven by a concentration gradient of protons across the proton half-channels, and the rotation of the c-subunit by changes in the electrical potential only. This kinetic scheme has been analyzed mathematically and an expression has been obtained to explain the pH dependence of the rate of ATP synthesis by ATP synthase under steady state operating conditions. For a single set of three enzymological kinetic parameters, this expression predicts the rates of ATP synthesis which agree well with the experimental data over a wide range of pH(in) and pH(out). A logical consequence of our analysis is that DeltapH and Deltapsi are kinetically inequivalent driving forces for ATP synthesis.     

Unidirectional, intermittent rotation of the flagellum of Rhodobacter sphaeroides.

The single flagellum of the photosynthetic bacterium Rhodobacter sphaeroides was found to be medially located on the cell body. Observation of free-swimming bacteria, and bacteria tethered by their flagellar filaments, revealed that the flagellum could only rotate in the clockwise direction; switching of the direction of rotation was never observed. Flagellar rotation stopped periodically, typically several times a minute for up to several seconds each. Reorientation of swimming cells appeared to be the result of Brownian rotation during the stop periods. The flagellar filament displayed polymorphism; detached and nonrotating filaments were usually seen as large-amplitude helices of such short wavelength that they appeared as flat coils or circles, whereas the filaments on swimming cells showed a normal (small-amplitude, long-wavelength) helical form. With attached filaments, the transition from the normal to the coiled form occurred when the flagellar motor stopped rotating, proceeding from the distal end towards the cell body. It is possible that both the relaxation process and the smaller frictional resistance after relaxation may act to enhance the rate of reorientation of the cell. The transition from the coiled to the normal form occurred when the motor restarted, proceeding from the proximal end outwards, which might further contribute to the reorientation of the cell before it reaches a stable swimming geometry.     

Correlation between bacteriophage chi adsorption and mode of flagellar rotation of Escherichia coli chemotaxis mutants

We studied the adsorption of phage chi to various behavioral mutants (che mutants) of Escherichia coli having different swimming modes. Bacteriophage chi infects only bacteria with active flagella, and it was therefore of interest to examine whether the mode of swimming has an effect on the susceptibility of the bacteria to the phage. Neither the mode of swimming (smooth swimming or tumbling) nor the direction of flagellar rotation affected the degree of chi adsorption to the bacterial cells. Furthermore, the tumbling frequency, the rotation speed (tethered cells of all of the strains examined had the same average speed of rotation), the time proportion of rotation, and the reversal frequency were not important in determining susceptibility to chi. The only variable that influenced chi adsorption was the fraction of the population whose flagella rotated incessantly. A direct, linear correlation was found between chi adsorption and the fraction of unceasing rotation in each population. It seems, therefore, that an individual bacterium whose flagella pause periodically and briefly during rotation is not susceptible to irreversible adsorption of the phage. Pausing of rotation thus seems to be a new feature of motility that is prevalent especially in che mutants. It is concluded that irreversible chi adsorption can serve as a quantitative assay only for incessant flagellar rotation of E. coli.     

Electron transport and electrochemical proton gradient in membrane vesicles of Clostridium thermoautotrophicum.

Membrane vesicles of Clostridium thermoautotrophicum containing carbon monoxide dehydrogenase generated a proton motive force when exposed to CO. This proton motive force, with a value of -140 mV, consisted of only an electrical potential at pH 7.5 and above and of an electrical potential and pH gradient at a lower pH. The proton motive force drove the uptake of L-alanine by the vesicles to a concentration of 300 times that of the medium.     

Real time computer tracking of free-swimming and tethered rotating cells

A computerized image processing system has been developed that tracks individual free-swimming cells and rotating bacterial cell bodies tethered by their flagella in real time. Free-swimming bacteria of Rhodobacter sphaeroides, Rhodospirullum rubrum, and Salmonella typhimurium have been tracked swimming at speeds from 0 to over 120 microns s-1. A high level of discrimination is exerted against noncellular objects, allowing analysis of stopped as well as moving cells. This enabled detection of both speed and qualitative change in the swimming patterns of R. sphaeroides WS8 upon tactic stimulation. Comparison with darkfield microscopy indicated that the two techniques were in substantial agreement. The unidirectional rotation of cells of R. sphaeroides WS8 could be detected when the cells were either parallel to the microscope slide or end on. Frequencies of rotation of up to 10 Hz were monitored before image blurring became a problem. True rods would be easier to analyze at higher speeds of rotation. Although developed for photosynthetic bacteria, a wide range of bacteria, eucaryotic organisms, and subcellular organelles could be tracked with this system. Minor modifications to the software allow customization to different types of motility analysis.     

Simultaneous measurement of bacterial flagellar rotation rate and swimming speed.

Swimming speeds and flagellar rotation rates of individual free-swimming Vibrio alginolyticus cells were measured simultaneously by laser dark-field microscopy at 25, 30, and 35 degrees C. A roughly linear relation between swimming speed and flagellar rotation rate was observed. The ratio of swimming speed to flagellar rotation rate was 0.113 microns, which indicated that a cell progressed by 7% of pitch of flagellar helix during one flagellar rotation. At each temperature, however, swimming speed had a tendency to saturate at high flagellar rotation rate. That is, the cell with a faster-rotating flagellum did not always swim faster. To analyze the bacterial motion, we proposed a model in which the torque characteristics of the flagellar motor were considered. The model could be analytically solved, and it qualitatively explained the experimental results. The discrepancy between the experimental and the calculated ratios of swimming speed to flagellar rotation rate was about 20%. The apparent saturation in swimming speed was considered to be caused by shorter flagella that rotated faster but produced less propelling force.     

The stall torque of the bacterial flagellar motor.

The bacterial flagellar motor couples the flow of protons across the cytoplasmic membrane to the rotation of a helical flagellar filament. Using tethered cells, we have measured the stall torque required to block this rotation and compared it with the torque of the running motor over a wide range of values of proton-motive force and pH. The stall torque and the running torque vary identically: both appear to saturate at large values of the proton-motive force and both decrease at low or high pH. This suggests that up to speeds of approximately 5 Hz the operation of the motor is not limited by the mobility of its internal components or the rates of proton transfer reactions coupled to flagellar rotation.     

Transmembrane pH gradient and membrane potential in Clostridium acetobutylicum during growth under acetogenic and solventogenic conditions.

The proton motive force and its electrical and chemical components were determined in Clostridium acetobutylicum, grown in a phosphate-limited chemostat, using [14C]dimethyloxazolidinedione and [14C]benzoic acid as transmembrane pH gradient (delta pH) probes and [14C]triphenylmethylphosphonium as a membrane potential (delta psi) indicator. The cells maintained an internal-alkaline pH gradient of approximately 0.2 at pH 6.5 and 1.5 at pH 4.5. The delta pH was essentially constant between pH 6.5 and 5.5 but increased considerably at lower extracellular pH values down to 4.5. Hence, the intracellular pH fell from 6.7 to 6.0 as the external pH was lowered from 6.5 to 5.5 but did not decrease further when the external pH was decreased to 4.5. The transmembrane electrical potential decreased as the external pH decreased. At pH 6.5, delta psi was approximately -90 mV, whereas no negative delta psi was detectable at pH 4.5. The proton motive force was calculated to be -106 mV at pH 6.5 and -102 mV at pH 4.5. The ability to maintain a high internal pH at a low extracellular pH suggests that C. acetobutylicum has an efficient deacidification mechanism which expresses itself through the production of neutral solvents.     

Non-ohmic proton conductance of mitochondria and liposomes

Direct measurements of the proton/hydroxyl ion flux across rat liver mitochondria and liposome membranes are reported. H+/OH- fluxes driven by membrane potential (delta psi) showed nonlinear dependence on delta psi both in mitochondria and in liposomes whereas delta pH-driven H+/OH- flux shows linear dependence on delta pH in liposomes. In the presence of low concentrations of a protonophore the H+/OH- flux was linearly dependent on delta psi and showed complex dependence on delta pH. The nonlinearity of H+/OH- permeability without protonophore is described by an integrated Nernst- Plank equation with trapezoidal energy barrier. Permeability coefficients depended on the driving force but were in the range 10(-3) cm/s for mitochondria and 10(-4)-10(-6) cm/s for liposomes. The nonlinear dependence of H+/OH- flux on delta psi explains the nonlinear dependence of electrochemical proton gradient on the rate of electron transport in energy coupling systems.     

Electron transfer in reaction centers of Rhodopseudomonas sphaeroides. II. Free energy and kinetic relations between the acceptor states Q(-)A Q(-)B and QAQ(2-)B

Thermodynamic equilibria and electron transfer kinetics involving the quinone acceptor complex in reaction centers from Rhodopseudomonas sphaeroides were investigated. We focussed on reactions involving the two-electron states QA Qn and QAQ~-, described by the scheme DQAQa~-D +X,~~A- , ~~a- ~k~ .~D+ "r~~ AK~'La2- - k~2~ k~lk O~ (2)D+~D The equilibrium partitioning between QA Q n and QAQ 2n- was determined spectroscopically from either the concentration of oxidized cytochrome c or the concentration of semiquinone after successive flashes of light.At pH < 9.5, QAQ2n - is stabilized relative to QAQn, while for pH > 9.5, QAQB is energetically favored.The reduction of QA, to form QAQ~, is not associated with a protonation step (pK< 8). However, the reduction of Q~, to form the final state QAQ~-, is accompanied by an uptake of a proton (pK >/10.7). The preferential interaction of a proton with QAQ2n - provides the driving force for the forward electron transfer.The shift toward the photochemically inactive state QAQa with increasing pH may serve as a feedback mechanism in photosynthetic organisms to limit the rise in intracellular pH. The electron-transfer rate constants were determined from the observed kinetics and the equilibria between the states QAQ2n - and QA Q n. The forward rate constant z-.A~2n~ was approximately proportional to the proton concentration, whereas kta2A~ depended only weakly on pH. The recombination kinetics of D +QAQ2n- was biphasic. The slow rate agreed with the predicted charge recombination via the intermediate state D +QAQff; the fast rate may be due to the recombination from a separate (conformational) state. The results of this work were combined with those of a previous study on reactions involving the one-electron precursor states QAQa and QAQn(Kleinfeld, D., Okamura, M.Y., and Feher, G. (1984) Biochim. Biophys. Acta 766, 126-140). The overall sequence for the protonation of the reaction center in response to successive reductions of the accept or complex involves the uptake of one proton for each electron transferred to QB- This sequential uptake initiates the formation of a proton gradient across the cell membrane.     

An estimation of the light-induced electrochemical potential difference of protons across the membrane of Halobacterium halobium.

The light-dependent uptake of triphenylmethylphosphonium (TPMP+) and of 5,5-dimethyloxazolidine-2,4-dione (DMO) by starved purple cells of Halobacterium halobium was investigated. DMO uptake was used to calculate the pH difference (deltapH) across the membrane, and TPMP+ was used as an index of the electrical potential difference, deltapsi. Under most conditions, both in the light and in the dark, the cells are more alkaline than the medium. In the light at pH 6.6, deltapH amounts to 0.6-0.8 pH unit. Its value can be increased to 1.5-2.0 by either incubating the cells with TPMP+ (10(-3) M) or at low external pH (5.5). --deltapH can be lowered by uncoupler or by nigericin. The TPMP+ uptake by the cells indicates a large deltapsi across the membrane, negative inside. It was estimated that in the light, at pH 6.6, deltapsi might reach a value of about 100 mV and that consequently the electrical equivalent of the proton electrochemical potential difference, deltamuH+/F, amounts under these conditions to about 140 mV. The effects of different ionophores on the light-drive proton extrusion by the cells were in agreement with the effects of these compounds on --deltapH.     

Light-induced proton permeability changes in retinal rod photoreceptor disk membranes.

We have used the membrane-permeant charged fluorescent dye, 3,3'-dipropylthiadicarbocyanine iodide (diS-C3[5]), to monitor electrical potentials across the membranes of isolated bovine disks. Calibration curves obtained from experiments where a potential was created across the disk membrane by a potassium concentration gradient and valinomycin showed an approximately linear relation between dye fluorescence and calculated membrane potential from 0 to -120 mV. Light exposure in the presence of the permeant buffer, imidazole, caused a rapid decay of the membrane potential to a new stable level. Addition of CCCP, a proton ionophore, in the dark produced the same effect as illumination. When the permeant buffer, imidazole, was replaced by the impermeant buffer, Hepes, neither light nor CCCP discharged the gradient. We interpret the changes in membrane potential measured upon illumination to be the result of a light-induced increase in the permeability of the disk membrane to protons. A permeant buffer is required to prevent the build-up of a pH gradient which would inhibit the sustained proton flow needed for an observable change in membrane potential.