The generation of the proton electrochemical potential and its role in energy transduction

Summary The evidence that all energy transducing membranes can generate a proton electrochemical potential difference, _H, across the membrane and that this potential can be used to transfer energy among energy transducing units and to generate ATP, has increased the interest for the view that _H plays an obligatory role in energy transduction and ATP synthesis. In the present article we shall concentrate on two experimental questions related with the generation and role of _H: (a) the charge/site ratio; (b) the relation between the proton electrochemical potential on one side and the cation electrochemical potential, the phosphate potential and the redox potential on the other. We shall then discuss the view that energy transduction corresponds to a molecular energy machine rather than to a fuel cell.     

Relationship between the octanol-water partition coefficient of tertiary amines and their effect of ‘selective’ uncoupling of photophosphorylation

A series of tertiary amines was investigated for effects on the transmembrane proton potential difference ( H), on photophosphorylation and on electron-flux control related to the intrathylakoid proton potential ( H_I), using isolated chloroplasts ofSpinacia oleracea L. As indicated by 9-aminoacridine fluorescence and [14C]methylamine uptake, all amines studied inhibited a build-up of H and, in parallel, ATP synthesis. Even when H was low, strong H₁-dependent electron-flux control was observed under the influence of tertiary amines. The strength of flux control in the presence of low H and the effectiveness of inhibition of ATP synthesis linearly increased with the lipophilicity of the amines. The most effective of the amines tested caused 50% inhibition of ATP synthesis at a concentration of 6 M, which is about 1000-fold lower than the concentration required for inhibition by methylamine. The data presented indicate the existence of two proton domains in the thylakoid vesicles, one of them feeding the ATP-synthase, the other the sites of pH-dependent electron-flux control. It is concluded that tertiary amines develop their action in a lipophilic domain of the thylakoid membrane, in the vicinity of the ATP-synthase complex. A mechanism for selective uncoupling and for the maintenance of H_I-dependent electron flux control in the presence of low H is discussed.Abbreviations and symbols coefficient for pH-dependent electron flux control - 9-AA 9-aminoacridine - Chl chlorophyll - I₅₀ amine concentration producing 50% inhibition of ATP-synthesis - J_e flux of photosynthetic electron transport - k _H apparent rate constant for proton efflux - H₁ proton potential in the thylakoid lumen - H₁ transthylakoid proton potential difference - p partition coefficient - q _AA coefficient for 9-aminoacridine fluorescence quenching - PS photosystem - Q quantum flux of photosynthetically active light Dedicated to Professor Wilhelm Simonis, on the occasion of his 80th birthday     

The electrochemical proton potential generated by the sulphur respiration of Wolinella succinogenes

Wolinella succinogenes grown on formate and elemental sulphur was found to use the polysulphide derivatives 2,2-tetrathiobispropionate (R₂S₄) or pentathionate (S₅O ₆ ⁼ ) as acceptors for formate oxidation. The specific activities of formate oxidation with these acceptors were similar to those with elemental sulphur. The main reaction products of R₂S₄ reduction were 2,2-dithiobispropionate (R₂S₂) and sulphide. Pentathionate was converted to thiosulphate and some elemental sulphur. The electrochemical proton potential across the cytoplasmic membrane of the bacterium was measured in the steady state of electron transport from formate to R₂S₄. The electrical proportion () of the determined through the distribution of labeled tetraphenylphosphonium cation was obtained as 0.17 Volt. The was zero, when a protonophore was present. The pH-difference across the membrane was negligible. Thus the generated by sulphur respiration is close to that measured earlier with fumarate as the terminal acceptor of electron transport.Abbreviations DMO 5,5-dimethyloxazolidine-2,4-dione - R₂S_n (n=2–5) 2,2-polythiobispropionate - TTFB 4,5,6,7-tetrachloro-2-trifluoromethylbenzimidazol - TPP tetraphenylphosphonium cation     

Chemiosmotic systems in bioenergetics: H+-cycles and Na+-cycles

The development of membrane bioenergetic studies during the last 25 years has clearly demonstrated the validity of the Mitchellian chemiosmotic H⁺ cycle concept. The circulation of H⁺ ions was shown to couple respiration-dependent or light-dependent energy-releasing reactions to ATP formation and performance of other types of membrane-linked work in mitochondria, chloroplasts, some bacteria, tonoplasts, secretory granules and plant and fungal outer cell membranes. A concrete version of the direct chemiosmotic mechanism, in which H⁺ potential formation is a simple consequence of the chemistry of the energy-releasing reaction, is already proved for the photosynthetic reaction centre complexes.Recent progress in the studies on chemiosmotic systems has made it possible to extend the coupling-ion principle to an ion other than H⁺. It was found that, in ceertain bacteria, as well as in the outer membrane of the animal cell, Na⁺ effectively substitutes for H⁺ as the coupling ion (the chemiosmotic Na⁺ cycle). A precedent is set when the Na⁺ cycle appears to be the only mechanism of energy production in the bacterial cell. In the more typical case, however, the H⁺ and Na⁺ cycles coexist in one and the same membrane (bacteria) or in two diffeerent membranes of one and the same cell (animals). The sets of and generators as well as and consumers found in different types of biomembranes, are listed and discussed.     

The protonmotive force and phosphorylation potential developed by whole cells of the methylotrophic bacteriumMethylophilus methylotrophus

The and the Gp have been measured in whole cells ofMethylophilus methylotrophus during the oxidation of various respiratory chain substrates. The magnitude of the depended on the external pH and the composition of the assay medium, and varied from-109 to-165 mV. The relative contributions of the and the pH to the were found to vary with the external pH such that the internal pH remained constant; depending on the composition of the assay medium, this value was between 6.6 and 7.0. A Gp of approximately-46 kJ/mol was generated during the oxidation of methanol, and either the or pH alone was fully competent to drive ATP synthesis. Respiration and ATP synthesis were found to be poised far from equilibrium under the conditions of these experiments, and the value of the Gp was thus controlled kinetically. Comparison of the with the Gp yielded an H⁺/ATP quotient >2.6 g-ion H⁺/mol ATP.Abbreviations TMPD N,N,N,N-tetramethyl-p-phenylenediamine - FCCP carbonylcyanidep-trifluoromethoxyphenylhydrazone - DMO 5,5-dimethyloxazolidine-2,4-dione - TPMP⁺ triphenylmethylphosphonium (iodide salt); Tween 20, polyoxyethylenesorbitan monolaurate - TPP⁺ tetraphenylphosphonium (bromide salt) - bulk phase transmembrane electrochemical potential difference of protons ( ) - pH bulk phase transmembrane pH difference (pHin-pHout) - bulk phase transmembrane electrical potential difference (in-out) - p true protonmotive force (incorporating both bulk phase and localised protons; )     

Activity and oxygen consumption during hypoxic exposure in high altitude and lowland sceloporine lizards

Summary Resting rates of O₂ consumption against , exercise endurance times and during recovery from vigorous exercise were measured inSceloporus occidentalis captured near sea level and inS. graciosus captured above 2850 m. Oxygen consumption against was also measured inS. occidentalis captured above 2850 m. When was recorded continuously, as ambient was slowly reduced from 155 Torr, it became directly dependent upon ambient between 110 and 120 Torr. The critical for the high altitude lizards was lower than that for the lowland lizards, which enabled the former to maintain relatively higher 's when ambient was reduced below 120 Torr. The high altitude lizards also had significantly greater endurance when stimulated to exercise at 1600 m ( 130 Torr). Both the higher under hypoxia and the greater endurance roughly parallel a significantly greater maximum in the high altitude lizards. At a simulated altitude of 3600 m ( 100 Torr), maximum and rate of recovery of the O₂ debt calculated from post active were significantly reduced in the lowland but not the high altitude lizards. The effects of simulated altitude conditions on the lowland but not the mountaine animals indicate adaptations to altitude in these sceloporine lizards. We did not find any consistent relationship between organ/body weight ratios or hematocrit and our measures of endurance or the altitude at which the lizards were captured.     

Evidence that the intrinsic membrance protein LHCII in thylakoids is necessary for maintaining localized\Delta \tilde \mu _{H^ + } energy coupling

This work tested the hypothesis that thylakoid localized proton-binding domains, suggested to be involved in localized -driven ATP formation, are maintained with the involvement of several membrane proteins, including the LHCII (Laszlo, J. A., Baker, G. M., and Dilley, R. A. (1984) Biochim. Biophys. Acta 764, 160–169), which comprises about 50% of the total thylakoid protein. The concept we have in mind is that several membrane proteins cooperate to shield a localized proton diffusion pathway from direct contact with the lumen, thus providing a physical barrier to H⁺ equilibration between the sequestered domains and the lumen. A barely mutant,chlorina f ₂, that lacks Chl b and does not accumulate some of the LHCII proteins, was tested for its capacity to carry out localized-proton gradient-dependent ATP formation. Two previously developed assays permit clear discrimination between localized and delocalized gradient-driven ATP formation. Those assays include the effect of a permeable buffer, pyridine, on the number of single-turnover flashes needed to reach the energetic threshold for ATP formation and the more recently developed assay for lumen pH using 8-hydroxy-1,3,6-pyrene trisulfonic acid as a lumenally loaded pH-sensitive fluorescent probe. By those two criteria, the wild-type barley thylakoids revealed either a localized or a delocalized energy coupling mode under low- or high-salt storage conditions, respectively. Addition of Ca⁺⁺ to the high-salt storage medium caused those thylakoids to maintain a localized energy-coupling response, as previously observed for pea thylakoids. In contrast, thechlorina f ₂ mutant thylakoids had an active delocalized energy coupling activity but did not show localized energy coupling under any conditions, and added Ca⁺⁺ to the thylakoid storage medium did not alter the delocalized energy coupling mode. One interpretation of the results is that the absence of the LHCII polypeptides produces a leaky pathway for protons which allows the gradient to equilibrate with the lumen under all conditions. Another interpretation is possible but seems less likely, that being that the absence of the LHCII polypeptides in some way causes the proposed Ca⁺⁺ -gated H⁺ flux site on the membrane sector (CF₀) of the energy coupling complex to lose its gating function.     

Bacterial sodium ion-coupled energetics

For many bacteria Na⁺ bioenergetics is important as a link between exergonic and endergonic reactions in the membrane. This article focusses on two primary Na⁺ pumps in bacteria, the Na⁺-translocating oxaloacetate decarboxylase ofKlebsiella pneumoniae and the Na⁺-translocating F₁F₀ ATPase ofPropionigenium modestum. Oxaloacetate decarboxylase is an essential enzyme of the citrate fermentation pathway and has the additional function to conserve the free energy of decarboxylation by conversion into a Na⁺ gradient. Oxaloacetate decarboxylase is composed of three different subunits and the related methylmalonyl-CoA decarboxylase consists of five different subunits. The genes encoding these enzymes have been cloned and sequenced. Remarkable are large areas of complete sequence identity in the integral membrane-bound -subunits including two conserved aspartates that may be important for Na⁺ translocation. The coupling ratio of the decarboxylase Na⁺ pumps depended on and decreased from two to zero Na⁺ uptake per decarboxylation event as increased from zero to the steady state level.InP. modestum, is generated in the course of succinate fermentation to propionate and CO₂. This is used by a unique Na⁺-translocating F₁F₀ ATPase for ATP synthesis. The enzyme is related to H⁺-translocating F₁F₀ ATPases. The F₀ part is entirely responsible for the coupling of ion specificity. A hybrid ATPase formed by in vivo complementation of anEscherichia coli deletion mutant was completely functional as a Na⁺-ATP synthase conferring theE. coli strain the ability of Na⁺-dependent growth on succinate. The hybrid consisted of subunits a, c, b, and part of fromP. modestum and of the remaining subunits fromE. coli. Studies on Na⁺ translocation through the F₀ part of theP. modestum ATPase revealed typical transporter-like properties. Sodium ions specifically protected the ATPase from the modification of glutamate-65 in subunit c by dicyclohexylcarbodiimide in a pH-dependent manner indicating that the Na⁺ binding site is at this highly conserved acidic amino acid residue of subunit c within the middle of the membrane.     

Energetics of CO formation and CO oxidation in cell suspensions of Acetobacterium woodii

Cell suspensions of Acetobacterium woodii produced CO from H₂ and CO₂. Depending on the conditions, more than 1,000 ppm CO were measured in the gas phase. This concentration was more than 10-fold higher than the thermodynamic equilibrium concentration that can be calculated to be 83.5 ppm for the experimental conditions used. This finding is taken as evidence that, besides the activation of formate, also CO production from CO₂ is an energy-dependent step in the reduction of CO₂ to acetate. Studies on the influence of ionophores and dicyclohexylcarbodiimide (DCCD) as well as that of CO and formaldehyde on acetate synthesis were undertaken in order to determine whether ATP or is the driving for CO₂ reduction to CO.Cells of A. woodii also catalyzed the conversion of CO (5% in the gas phase) to CO₂ and H₂. This process was coupled to the generation of metabolic energy, which could be used by the cells to drive the uptake of histidine into the cells; histidine uptake was almost completely inhibited by the ionophores valinomycin plus nigericin. The data were taken to indicate that in this acetogen the energy derived from CO oxidation can be converted to metabolic energy.Abbreviations DCCD dicyclohexylcarbodiimide - THF tetrahydrofolate - TCS tetrachlorosalicylanilide - TPP⁺ tetraphenylphosphonium ion - Val valinomycin; Nig, nigericin - DTT dithiothreitol - DTE dithioerythritol - DTE dithioerythritol - membrane potential - electrochemical proton potential - ppm parts per million     

Electrogenic proton transport in epithelial membranes

Summary Certain polar epithelial cells have strong transport capacities for protons and can be examinedin vitro as part of an intact epithelial preparation. Recent studies in the isolated turtle bladder and other tight urinary epithelia indicate that the apical membranes of the carbonic anhydrase-containing cell population of these tissues contain an electrogenic proton pump which has the characteristics of a proton-translocating ATPase. The translocation of protons is tightly coupled to the energy of ATP hydrolysis. Since the pump translocates protons without coupling to the movement of other ions, it may be regarded as an ideal electrogenic pump. The apparent simplicity of the functional properties has led to extensive studies of the characteristics of this pump and of the cellular organization of the secondary acid-base flows in the turtle bladder. Over a rather wide range of electrochemical potential gradients for protons ( ) across the epithelium, the rate of H⁺ transport is nearly linear with . The formalisms of equivalent circuit analysis and nonequilibrium thermodynamics have been useful in describing the behavior of the pump, but these approaches have obvious limitations. We have attempted to overcome some of these limitations by developing a more detailed set of assumptions about each of the transport steps across the pump complex and to formulate a working model for proton transport in the turtle bladder that can account for several otherwise unexplained experimental results. The model suggests that the real pump is neither a simple electromotive force nor a constant current source. Depending on the conditions, it may behave as one or the other.     

A simple method to quantitatively measure polypeptide JHNHα coupling constants from TOCSY or NOESY spectra

A simple linear relationship between the J coupling constant and the linewidth (_1/2) of in-phase NMR peaks has been identified. This relationship permits the rapid and accurate determination of polypeptide J coupling constants from a simple inspection of amide cross peaks in homonuclear ¹H TOCSY or ¹H NOESY spectra. By using the appropriate set of processing parameters we show that J = 0.5(_1/2) – MW/5000 + 1.8 for TOCSY spectra and J = 0.6(_1/2) – MW/5000 – 0.9 for NOESY spectra, where _1/2 is the half-height linewidth in Hz and MW is the molecular weight of the protein in Da. The simplicity of this relationship, combined with the ease with which _1/2 measurements can be made, means that J coupling constants can now be rapidly determined (up to 100 measurements in less than 30 min) without the need for any complex curve-fitting algorithms. Tests on 11 different polypeptides involving more than 650 separate J measurements have shown that this method yields coupling constants with an rmsd error (relative to X-ray data) of less than 0.9 Hz. Furthermore, the correlation coefficient between the predicted NMR coupling constants and those derived from high-resolution X-ray crystal structures is typically better than 0.89. These simple linear relationships have been found to be valid for peptides as small as 1 kDa to proteins as large as 20 kDa. Despite the method's simplicity, these results are comparable to the accuracy and precision of the best techniques published to date.     

The electrochemical H+ gradient in the yeastRhodotorula glutinis

The electrochemical gradient of protons, , was estimated in the obligatory aerobic yeastRhodotorula glutinis in the pH₀ range from 3 to 8.5. The membrane potential, , was measured by steady-state distribution of the hydrophobic ions, tetraphenylphosphonium (TPP⁺) for negative above pH₀ 4.5, and thiocyanate (SCN^–) for positive below pH₀ 4.5. The chemical gradient of H⁺ was determined by measuring the chemical shift of intracellular P_i by³¹P-NMR at given pH₀ values. The values of pH_i increased almost linearly from 7.3 at pH₀ 3 to 7.8 at pH₀ 8.5. In the physiological pH₀ range from 3.5 to 6, was fairly constant at values between 17–18 KJ mol^–1, gradually decreasing at pH₀ above 6. In deenergized cells, the intracellular pH_i decreased to values as low as 6, regardless of whether the cell suspension was buffered at pH₀ 4.5 or 7.5. There was no membrane potential detectable in deenergized cells.     

Altered membrane fluidity in rat hepatocytes during endotoxic shock

Steady-state fluorescence anisotropy measurements of the fluorescent hydrocarbon probe 1,6-diphenyl-1,3,4-hexatriene (DPH) were carried out in isolated hepatocytes of saline control andSalmonella enteritidis endotoxin (20 mg/kg) injected rats. Statistically significant differences were observed in the fluorescent anisotropy (r_s) and membrane microviscosity ( ) values of control (r_s=0.107±0.004 (SEM), =0.98±0.08, n±6) versus endotoxin injected rat hepatocytes (r_s=0.134±0.005, =1.43±0.08, n=6, p<0.001) at 37°C. Fluidity was similarly lower in the isolated plasma membrane preparations from endotoxin-injected rat livers relative to control livers. When endotoxin-injected rats were treated with the calcium channel-blocker diltiazem, the anisotropy and microviscosity values were comparable to thos eobtained from control rats (r_s=0.152±0.003, =1.00±0.003, n=6). These measurements were made in animals five hours after endotoxin had been injected, and thus represent thein vivo effects of bacterial endotoxins. Temperature scan studies of DPH from 5–40°C revealed that the membrane fluidity of endotoxin-injected rat hepatocytes was significantly lower than control hepatocytes at all temperatures investigated. The data suggest that endotoxin alters the membrane fluidity of hepatocytes, and that calcium-channel blockers can prevent the alteration. Our previous studies have shown that calcium channel blocker prevented endotoxin induced alterations in hepatic cellular regulation of Ca²⁺. Thus, cellular calcium homeostasis may be important in the maintenance of membrane fluidity and other membrane-associated transport functions. (Mol Cell Biochem121: 143–148, 1993)     

Respiration of the emersed shore crab at variable ambient oxygenation

Summary In the intertidal shore crab,Carcinus maenas, pH and values of the prebranchial venous hemolymph, and , the PO₂ values of the arterialized cardiac hemolymph, , were measured, and the ventilatory activity was assessed by measuring the hydrostatic pressures at the exits of the epibranchial cavities, under four environmental conditions: normoxic water, normoxic air, hypoxic gas, hyperoxic gas.In the crab breathing normoxic air, was lower and higher than in animals breathing normoxic water. With the switch to hypoxic gas, ventilation increased and and decreased. With the switch to hyperoxic gas, ventilation decreased, and increased and decreased.Thus these crabs breathing air were not as well oxygenated as when breathing air-equilibrated water, and because of their low , they were relatively hypervetilating and hypocapnic compared to air-breathing vertebrates. Hyperoxic breathing, increasing and reducing ventilatory drive, led to increased . Conversely, was reduced by hypoxic breathing. These observations suggest that the gas exchanger of intertidal crabs is not as successfully designed for air breathing as that of land-colonizing insects and air-breathing vertebrates.     

Linkage analysis using multiple DNA polymorphic markers in normal families and in families with fragile X syndrome

Summary Linkage data, using the polymorphic markers 52A (DXS51), F9, 4D-8(DXS98), and St14(DXS52), are presented from 14 fragile X pedigrees and from 7 normal pedigrees derived from the collection of the Centre d'Étude du Polymorphisme Humaine. A multipoint linkage analysis indicates that the most probable order of these four loci in normal families is DXS51-F9-DXS98-DXS52. Recombination frequencies ( ) corresponding to maximum LOD scores ( ) were obtained by two-point linkage analysis for a nuber of linkage groups, including: DXS51-F9 ( =5.94, =0.03), F9-DXS98 ( =0.51, =0.26), F9-DXS52 ( =0.84, =0.27), and DXS98-DXS52 ( =0.32, =0.20). A multipoint linkage analysis of these loci, including the fragile X locus, was also performed for the fragile X population and the data support the relative order (DSX51, F9, DXS98)-FRAXA-DXS52. Recombination frequencies and maximum LOD scores, which again were derived from two-point linkage analyses, were obtained for the linkage groups DXS51-F9 ( =9.96, =0) and F9-DXS52 ( =0.07, =0.45), as well as for the groups DXS51-FRAXA ( =2.42, =0.15), F9-FRAXA ( =1.30, =0.18), DXS98-FRAXA ( =0.05 =0.36), and DXS52-FRAXA ( =2.42 =0.15). The linkage data was further tested for the presence of genetic heterogeneity both within and between the fragile X and normal families for the intervals DXS51-F9, F9-DXS52, F9-FRAXA, and DXS52-FRAXA using a modification of the A test. Except for the interval F9-FRAXA (P<0.10) there was no evidence of genetic heterogeneity for each of the various linkage groups examined. The heterogeneity detected for the interval F9-FRAXA, however, was most likely due to one family (Fx-28) that displayed very tight linkage between these two loci.     

Dynamics of cardiorespiratory function in Standardbred horses during different intensities of constant-load exercise

Summary Six Standardbred horses were used to evaluate the time course of pulmonary gas exchange, ventilation, heart rate (HR) and acid base balance during different intensities of constant-load treadmill exercise. Horses were exercised at approximately 50%, 75% and 100% maximum oxygen uptake ( max) for 5 min and measurements taken every 30 s throughout exercise. At all work rates, the minute ventilation, respiratory frequency and tidal volume reached steady state values by 60 s of exercise. At 100% max, the oxygen consumption ( ) increased to mean values of approximately 130 ml/kg·min, which represents a 40-fold increase above resting . At the low and moderate work rates, showed no significant change from 30 s to 300 s of exercise. At the high work rate, the mean at 30 s was 80% of the value at 300 s. The HR showed no significant change over time at the moderate work rate but differing responses at the low and high work rates. At the low work rate, the mean HR decreased from 188 beats/min at 30 s to 172 beats/min at 300 s exercise, whereas at the high work rate the mean HR increased from 204 beats/min at 30 s to 221 beats/min at 300 s exercise. No changes in acid base status occurred during exercise at the low work rate. At the moderate work rate, a mild metabolic acidosis occurred which was nonprogressive with time, whereas the high work rate resulted in a progressive metabolic acidosis with a base deficit of 16 mmol/l by 300 s exercise. It is concluded that the kinetics of gas exchange during exercise are more rapid in the horse than in man, despite the relatively greater change in in the horse when going from rest to high intensity exercise.Symbols and abbreviations E minute ventilation - V _T tidal volume - oxygen uptake - carbon dioxide output - oxygen pulse - ventilatory equivalent for oxygen - ventilatory equivalent for carbon dioxide - R respiratory exchange ratio - HR heart rate - SBC standard bicarbonate - STPD standard temperature and pressure dry - BTPS body temperature and pressure saturated - arterial oxygen content - arteriovenous oxygen content difference - Rf respiratory frequency     

The regulation of K+ influx in excised barley roots

The electrochemical potential differences for potassium, between excised barley (Hordeum vulgare L.) roots and external media containing 0.05 mM KCl+0.5 mM CaSO₄, were determined over a 4-h period during which initially low-K⁺ roots accumulated K⁺ by pretreatment in 50 mM KCl plus 0.5 mM CaCl₂. This pretreatment resulted in increased internal [K⁺], decreased K⁺ influx (as measured from 0.05 mM KCl+0.5 mM CaSO₄) and decreased values of . These observations indicate that the decline of K⁺ influx associated with increased internal K⁺ concentration cannot be accounted for by passive adjustment to the electrochemical gradient for this ion.     

A study on Na+-coupled oxidative phosphorylation: ATP formation supported by artificially imposed ΔpNa and ΔpK inVibrio alginolyticus cells

Addition of Na⁺ to the K⁺-loadedVibrio alginolyticus cells, creating a 250-fold Na⁺ gradient, is shown to induce a transient increase in the intracellular ATP concentration, which is abolished by the Na⁺/H⁺ antiporter, monensin. The pNa-supported ATP synthesis requires an additional driving force supplied by endogenous respiration or, alternatively, by a K⁺ gradient (high [K⁺] inside). In the former case, ATP formation is resistant to the protonophorous uncoupler. Dicyclohexylcarbodiimide and diethylstilbestrol, but not vanadate, completely inhibit Na⁺ pulse-induced ATP formation. The data agree with the assumption that Na⁺-ATP-synthase is involved in oxidative phosphorylation inV. alginolyticus. Interrelation of H⁺ and Na⁺ cycles in bacteria is discussed.Abbreviations and electrochemical gradients of H⁺ and Na⁺, respectively - transmembrane electric potential difference - pH, pNa, and pK concentration gradients of H⁺, Na⁺, and K⁺, respectively - CCCP carbonyl cyanidem-chlorophenylhydrazone - DCCD N,N-dicyclohexylcarbodiimide - DES diesthylstilbestrol - HQNO 2-heptyl-4-hydroxyquinolineN-oxide - Tricine N[2-hydroxy-1,1-bis(hydroxymethyl)ethyl]glycine     

Bubble column bioreactors

Summary The photographic and electrical conductivity methods to measure the structure of two phase flow, especially bubble size, bubble frequency, local gas hold-up and, for the latter, the bubble velocity are described.Symbols specific interfacial area - a gas/liquid interfacial area - B constant in Eq. (4) - d diameter of the bubbles - d mean diameter of the bubbles - d_S Sauter diameter - E_G relative gas hold up - I current - k_L mass transfer coefficient across the gas/liquid interface - k_L local k_L - LT^–1 - LT^–1 - 1 longitudinal distance between the start and stop sensors - 1_B pierced length of the bubble - t time - t₁ length of the square-wave signal at the start sensor - t₂ length of the square-wave signal at the stop sensor - t₁₂ time delay between start and stop signals - V volume of the bubbling layer - V_L volume of the bubble free layer - V_B bubble volume - v_B bubble velocity     

Two-substrates packed-bed bioreactors: inhibition of enzyme and competitive binding of substrate and product to a ligand

An analytical model is developed to describe the performance of a packed-bed immobilized enzyme reactor in which parallel processes take place. In particular, two-substrate reaction, inhibition of the enzyme by one of the reaction products, and binding of one substrate and/or one product to an added ligand are taken into account. In addition, substrates and product diffusion into the porous catalyst are also considered. Using this model, numerical simulations were performed. The results point to the fact that, when all the above processes occur concomitantly, a variety of performance characteristics can be obtained, depending on the particular values of the related parameters. Moreover, under certain conditions, the reactor performance can be improved by controlled addition of ligand.List of Symbols A total concentration of ligand - C _1,i concentration of Substrate-1 in the pores of stage i - C _2,i concentration of Substrate-2 in its free form in the pores of stage i - _2,i concentration of the Substrate-2-Ligand Complex in the pores of stage i - total concentration of Substrate-2 in the pores of stage i - _i concentration of the Product-Ligand Complex in the pores of stage i - concentration of the free Product in the pores of stage i - total concentration of the Product in the pores of stage i - internal (pore) diffusion coefficient for the Substrate-Ligand Complex - D ₁ internal (pore) diffusion coefficient of Substrate-1 - D ₂ internal (pore) diffusion coefficient of Substrate-2 - effective (pore) diffusion coefficient for Substrate-2 - internal (pore) diffusion coefficient for the Product - internal (pore) diffusion coefficient for the Product-Ligand Complex - effective (pore) diffusion coefficient for the Product - K thermodynamic equilibrium constant for binding Substrate-2 to Ligand - K _m,1,K _m,2 Michaelis constants for Substrates-1 and 2, respectively - effective Michaelis constant for Substrate-2 - K _p thermodynamic equilibrium constant for binding the reaction Product to Ligand - effective equilibrium constant for binding Substrate-2 to Ligand - effective equilibrium constant for binding the reaction Product to Ligand. - K _b inhibition constant - K _q inhibition constant - effective inhibition constant - effective inhibition constant - k _a, k _d association and dissociation rate constants for Substrate-2 — Ligand complex - association and dissociation constants for Product —Ligand complex - n total number of elementary stages in the reactor - Q volumetric flow rate throughout the reactor - R _j,i reaction rate of Substrate-j in stage i, in terms of volumetric units - S _1,0 concentration of Substrate-1 in the reactor feed - total concentration of Substrate-2 in the reactor feed - S _1,i–1,S _1,i concentration of Substrate-1 in the bulk phase leaving stages i–1 and i, respectively - S _2,i concentration of Substrate-2 in its free form, in the bulk phase leaving stage i - _2,i–1, _2,i concentration of Substrate-2 in the bulk phase leaving stage i–1 and i, respectively - total concentration of Substrate-2 in the bulk phase leaving stages i–1 and i, respectively - _i concentration of the Product-Ligand Complex in the bulk phase of stage i - concentration of free Product in the bulk phase of stage i - total concentration of Product in the bulk phase of stage i - V total volume of the reactor - V _m maximal reaction rate in terms of volumetric units - y axial coordinate of the pores - y ₀ depth of the pores Greek Symbols ₁ dimensionless parameter - dimensionless parameter - dimensionless parameter - ₁ dimensionless parameter - dimensionless parameter - _1,i dimensionless concentration of Substrate-1 in pores of stage i - dimensionless total concentration of Substrate-2 (in both free and bound form) in pores of stage i - dimensionless total concentration of the reaction product in the pores of stage i - ₁ dimensionless parameter - dimensionless parameter - dimensionless parameter - dimensionless parameter - dimensionless parameter - dimensionless position along the pore - volumetric packing density of catalytic particles (dimensionless) - porosity of the catalytic particles (dimensionless) - _1,i dimensionless concentration of Substrate-1 in the bulk phase of stage i - dimensionless total concentration of Substrate-2 (in both free and bound form) in the bulk phase of stage i