Chloride net efflux from intact erythrocytes under slippage conditions. Evidence for a positive charge on the anion binding/transport site

Cell Physiology and Molecular Mechanism of Anion Transport by Erythrocyte Band 3/AE1

The major transmembrane protein of the red blood cell, known as band 3, AE1, and SLC4A1, has two main functions: 1) catalysis of Cl^-/HCO₃^- exchange, one of the steps in CO₂ excretion; 2) anchoring the membrane skeleton. This review summarizes the 150 year history of research on red cell anion transport and band 3 as an experimental system for studying membrane protein structure and ion transport mechanisms. Important early findings were that red cell Cl^- transport is a tightly coupled 1:1 exchange and band 3 is labeled by stilbenesulfonate derivatives that inhibit anion transport. Biochemical studies showed that the protein is dimeric or tetrameric (paired dimers) and that there is one stilbenedisulfonate binding site per subunit of the dimer. Transport kinetics and inhibitor characteristics supported the idea that the transporter acts by an alternating access mechanism with intrinsic asymmetry. The sequence of band 3 cDNA provided a framework for detailed study of protein topology and amino acid residues important for transport. The identification of genetic variants produced insights into the roles of band 3 in red cell abnormalities and distal renal tubular acidosis. The publication of the membrane domain crystal structure made it possible to propose concrete molecular models of transport. Future research directions include improving our understanding of the transport mechanism at the molecular level and of the integrative relationships among band 3, hemoglobin, carbonic anhydrase, and gradients (both transmembrane and subcellular) of HCO₃^-, Cl^-, O₂, CO₂, pH, and NO metabolites during pulmonary and systemic capillary gas exchange.

Up-down biphasic volume response of human red blood cells to PIEZO1 activation during capillary transits

In this paper we apply a novel JAVA version of a model on the homeostasis of human red blood cells (RBCs) to investigate the changes RBCs experience during single capillary transits. In the companion paper we apply a model extension to investigate the changes in RBC homeostasis over the approximately 200000 capillary transits during the ~120 days lifespan of the cells. These are topics inaccessible to direct experimentation but rendered mature for a computational modelling approach by the large body of recent and early experimental results which robustly constrain the range of parameter values and model outcomes, offering a unique opportunity for an in depth study of the mechanisms involved. Capillary transit times vary between 0.5 and 1.5s during which the red blood cells squeeze and deform in the capillary stream transiently opening stress-gated PIEZO1 channels allowing ion gradient dissipation and creating minuscule quantal changes in RBC ion contents and volume. Widely accepted views, based on the effects of experimental shear stress on human RBCs, suggested that quantal changes generated during capillary transits add up over time to develop the documented changes in RBC density and composition during their long circulatory lifespan, the quantal hypothesis. Applying the new red cell model (RCM) we investigated here the changes in homeostatic variables that may be expected during single capillary transits resulting from transient PIEZO1 channel activation. The predicted quantal volume changes were infinitesimal in magnitude, biphasic in nature, and essentially irreversible within inter-transit periods. A sub-second transient PIEZO1 activation triggered a sharp swelling peak followed by a much slower recovery period towards lower-than-baseline volumes. The peak response was caused by net CaCl2 and fluid gain via PIEZO1 channels driven by the steep electrochemical inward Ca2+ gradient. The ensuing dehydration followed a complex time-course with sequential, but partially overlapping contributions by KCl loss via Ca2+-activated Gardos channels, restorative Ca2+ extrusion by the plasma membrane calcium pump, and chloride efflux by the Jacobs-Steward mechanism. The change in relative cell volume predicted for single capillary transits was around 10-5, an infinitesimal volume change incompatible with a functional role in capillary flow. The biphasic response predicted by the RCM appears to conform to the quantal hypothesis, but whether its cumulative effects could account for the documented changes in density during RBC senescence required an investigation of the effects of myriad transits over the full four months circulatory lifespan of the cells, the subject of the next paper.

Acid-sensitive outwardly rectifying anion channels in human erythrocytes

Acid-sensitive outwardly rectifying anion channels (ASOR) have been described in several mammalian cell types. The present whole-cell patch-clamp study elucidated whether those channels are expressed in erythrocytes. To this end whole-cell recordings were made in human erythrocytes from healthy donors treated with low pH and high osmotic pressure. When the pipette solution had a reduced Cl(-) concentration, treatment of the cells with Cl(-)-containing normal and hyperosmotic (addition of sucrose and polyethelene glycol 1000 [PEG-1000] to the Ringer) media with low pH significantly increased the conductance of the cells at positive voltages. Channel activity was highest in the PEG-1000 media (95 and 300 mM PEG-1000, pH 4.5 and 4.3, respectively) where the current-voltage curves demonstrated strong outward rectification and reversed at -40 mV. Substitution of the Cl(-)-containing medium with Cl(-)-free medium resulted in a decrease of the conductance at hyperpolarizing voltages, a shift in reversal potential (to 0 mV) and loss of outward rectification. The chloride currents were inhibited by chloride channels blockers DIDS and NPPB (IC(50) for both was approximately 1 mM) but not with niflumic acid and amiloride. The observations reveal expression of ASOR in erythrocytes.

Bubbles, gating, and anesthetics in ion channels

We suggest that bubbles are the bistable hydrophobic gates responsible for the on-off transitions of single channel currents. In this view, many types of channels gate by the same physical mechanism-dewetting by capillary evaporation-but different types of channels use different sensors to modulate hydrophobic properties of the channel wall and thereby trigger and control bubbles and gating. Spontaneous emptying of channels has been seen in many simulations. Because of the physics involved, such phase transitions are inherently sensitive, unstable threshold phenomena that are difficult to simulate reproducibly and thus convincingly. We present a thermodynamic analysis of a bubble gate using morphometric density functional theory of classical (not quantum) mechanics. Thermodynamic analysis of phase transitions is generally more reproducible and less sensitive to details than simulations. Anesthetic actions of inert gases-and their interactions with hydrostatic pressure (e.g., nitrogen narcosis)-can be easily understood by actions on bubbles. A general theory of gas anesthesia may involve bubbles in channels. Only experiments can show whether, or when, or which channels actually use bubbles as hydrophobic gates: direct observation of bubbles in channels is needed. Existing experiments show thin gas layers on hydrophobic surfaces in water and suggest that bubbles nearly exist in bulk water.

Substrates Induce Conformational Changes in Human Anion Exchanger 1 (hAE1) as Observed by Fluorescence Resonance Energy Transfer

The one-for-one exchange of Cl(-) and HCO(3)(-) ions is catalyzed by human erythrocyte anion exchanger 1 (hAE1) through a ping-pong mechanism whereby the protein exists in two main conformations, with the single anion-binding site exposed at either the cytoplasmic (inner) side (E(i)) or the extracellular side (E(o)), with interconversion between the two states being possible only after anion binding. Steady-state and time-resolved resonance energy transfer (FRET) techniques were used to determine the distance of the binding site for diTBA (bis-(1,3-diethylthiobarbituric acid)trimethine oxonol), a high affinity fluorescent oxonol inhibitor of hAE1, from a benchmark site (probably Lys-430) labeled by external fluorescein maleimide (FM). Using red cell ghost membranes, energy transfer distances were measured in media containing different anions between FM as the donor, covalently attached to one monomer, and diTBA as the acceptor, reversibly bound to the adjacent monomer of a hAE1 dimer. Energy transfer increased significantly in chloride or bicarbonate buffers relative to conditions where no transportable anions were present, that is, in citrate buffer. These differences in transfer efficiencies were interpreted in light of the conformational distributions of hAE1 in various buffers and the possible effects of diTBA itself on the distribution. The analysis indicates that the diTBA binding site comes closer to the FM site by approximately 7 A in chloride buffer as compared to that in citrate (or equivalent changes in diTBA orientation occur) because of the effects of anion binding. This provides the first direct physical evidence for structural changes in hAE1 induced by substrates.

Ion transport pathology in the mechanism of sickle cell dehydration

Polymers of deoxyhemoglobin S deform sickle cell anemia red blood cells into sickle shapes, leading to the formation of dense, dehydrated red blood cells with a markedly shortened life-span. Nearly four decades of intense research in many laboratories has led to a mechanistic understanding of the complex events leading from sickling-induced permeabilization of the red cell membrane to small cations, to the generation of the heterogeneity of age and hydration condition of circulating sickle cells. This review follows chronologically the major experimental findings and the evolution of guiding ideas for research in this field. Predictions derived from mathematical models of red cell and reticulocyte homeostasis led to the formulation of an alternative to prevailing gradualist views: a multitrack dehydration model based on interactive influences between the red cell anion exchanger and two K(+) transporters, the Gardos channel (hSK4, hIK1) and the K-Cl cotransporter (KCC), with differential effects dependent on red cell age and variability of KCC expression among reticulocytes. The experimental tests of the model predictions and the amply supportive results are discussed. The review concludes with a brief survey of the therapeutic strategies aimed at preventing sickle cell dehydration and with an analysis of the main open questions in the field.

Evidence for a second binding/transport site for chloride in erythrocyte anion transporter AE1 modified at glutamate 681

Transport kinetics have been examined in erythrocyte anion transporter AE1 that has been chemically modified to convert glutamate 681 to an alcohol (E681OH AE1). Outward conductive Cl(-) flux in E681OH AE1 is inhibited by removal of extracellular Cl(-); this effect is the opposite of that in native AE1 and is consistent with coupled electrogenic 2:1 Cl(-)/Cl(-) exchange. A second Cl(-) binding/transport site is also suggested by the characteristics of (35)SO(4)(2-) flux in E681OH AE1: bilateral and cis Cl(-), which are normally inhibitory, accelerate (35)SO(4)(2-) flux. These effects would be expected if Cl(-) binds to a second transport site on SO(4)(2-)-loaded E681OH AE1, thereby allowing Cl(-)/SO(4)(2-) cotransport. Alternatively, the data can be explained without proposing Cl(-)/SO(4)(2-) cotransport if the rate-limiting event for (35)SO(4)(2-)/SO(4)(2-) exchange is external SO(4)(2-) release, and the binding of external Cl(-) accelerates SO(4)(2-) release. With either interpretation, these data indicate that E681OH AE1 has a binding/transport site for Cl(-) that is distinct from the main transport site. The effects of graded modification of E681 or inhibition by H(2)DIDS are consistent with the idea that the new Cl(-) binding site is on the same E681OH-modified subunit of the AE1 dimer as the normal transport site.

Plasmodium falciparum likely encodes the principal anion channel on infected human erythrocytes

Invasion by the human malaria parasite, Plasmodium falciparum, is associated with marked yet selective increases in red blood cell (RBC) membrane permeability. We previously identified an unusual voltage-dependent ion channel, the plasmodial surface anion channel (PSAC), which may account for these increases. Since then, controversy has arisen about whether there are additional parasite-induced anion channels on the RBC membrane and whether these channels are parasite-encoded proteins or the result of modifications of an endogenous host protein. Here, we used genetically divergent parasite isolates and quantitative transport measurements to examine these questions. Our studies indicate that PSAC alone can adequately account for the increased permeability of infected RBCs to key solutes. Two distinct parasite isolates, grown in RBCs from a single donor, exhibit channel activity with measurably different voltage-dependent gating, a finding difficult to reconcile with simple activation or modification of a host protein. Instead, this difference in channel gating can be conservatively explained by a small number of polymorphisms in a parasite gene that encodes PSAC. The absence of known eukaryotic ion channel homologues in the completed P falciparum genome suggests a novel channel gene, and substantiates PSAC as a target for antimalarial development.

The noncompetitive inhibitor WW781 senses changes in erythrocyte anion exchanger (AE1) transport site conformation and substrate binding

WW781 binds reversibly to red blood cell AE1 and inhibits anion exchange by a two-step mechanism, in which an initial complex (complex 1) is rapidly formed, and then there is a slower equilibration to form a second complex (complex 2) with a lower free energy. According to the ping-pong kinetic model, AE1 can exist in forms with the anion transport site facing either inward or outward, and the transition between these forms is greatly facilitated by binding of a transportable substrate such as Cl(-). Both the rapid initial binding of WW781 and the formation of complex 2 are strongly affected by the conformation of AE1, such that the forms with the transport site facing outward have higher affinity than those with the transport site facing inward. In addition, binding of Cl(-) seems to raise the free energy of complex 2 relative to complex 1, thereby reducing the equilibrium binding affinity, but Cl(-) does not compete directly with WW781. The WW781 binding site, therefore, reveals a part of the AE1 structure that is sensitive to Cl(-) binding and to transport site orientation, in addition to the disulfonic stilbene binding site. The relationship of the inhibitory potency of WW781 under different conditions to the affinities for the different forms of AE1 provides information on the possible asymmetric distributions of unloaded and Cl(-)-loaded transport sites that are consistent with the ping-pong model, and supports the conclusion from flux and nuclear magnetic resonance data that both the unloaded and Cl(-)-loaded sites are very asymmetrically distributed, with far more sites facing the cytoplasm than the outside medium. This asymmetry, together with the ability of WW781 to recruit toward the forms with outward-facing sites, implies that WW781 may be useful for changing the conformation of AE1 in studies of structure-function relationships.

Electrodiffusion, barrier, and gating analysis of DIDS-insensitive chloride conductance in human red blood cells treated with valinomycin or gramicidin

Current-voltage curves for DIDS-insensitive Cl- conductance have been determined in human red blood cells from five donors. Currents were estimated from the rate of cell shrinkage using flow cytometry and differential laser light scattering. Membrane potentials were estimated from the extracellular pH of unbuffered suspensions using the proton ionophore FCCP. The width of the Gaussian distribution of cell volumes remained invariant during cell shrinkage, indicating a homogeneous C1- conductance among the cells. After pretreatment for 30 min with DIDS, net effluxes of K+ and Cl- were induced by valinomycin and were measured in the continued presence of DIDS; inhibition was maximal at approximately 65% above 1 microM DIDS at both 25 degrees C and 37 degrees C. The nonlinear current-voltage curves for DIDS-insensitive net Cl- effluxes, induced by valinomycin or gramicidin at varied [K+] o, were compared with predictions based on (1) the theory of electrodiffusion, (2) a single barrier model, (3) single occupancy, multiple barrier models, and (4) a voltage-gated mechanism. Electrodiffusion precisely describes the relationship between the measured transmembrane voltage and [K+]o. Under our experimental conditions (pH 7.5, 23 degrees C, 1-3 microM valinomycin or 60 ng/ml gramicidin, 1.2% hematocrit), the constant field permeability ratio PK/PCl is 74 +/- 9 with 10 microM DIDS, corresponding to 73% inhibition of PCl. Fitting the constant field current-voltage equation to the measured Cl- currents yields PCl = 0.13 h-1 with DIDS, compared to 0.49 h-1 without DIDS, in good agreement with most previous studies. The inward rectifying DIDS-insensitive Cl- current, however, is inconsistent with electrodiffusion and with certain single-occupancy multiple barrier models. The data are well described either by a single barrier located near the center of the transmembrane electric field, or, alternatively, by a voltage-gated channel mechanism according to which the maximal conductance is 0.055 +/- 0.005 S/g Hb, half the channels are open at -27 +/- 2 mV, and the equivalent gating charge is -1.2 +/- 0.3.

Potassium and voltage dependence of the inorganic pyrophosphatase of intact vacuoles from Chenopodium rubrum

The activity and the voltage dependence of the inorganic pyrophosphatase (PPase) was measured on intact vacuoles of Chenopodium rubrum cells using the patch-clamp technique. With K+ at the cytoplasmic side a negative current representing the forward mode of the pump was measured after addition of pyrophosphate (PPi). The pump was reversed and a positive current was detected after addition of orthophosphate (Pi) in the presence of K+ at the vacuolar side when a pH gradient across the tonoplast was applied. The PPase operates as a constant current source, because no voltage dependence was observed (-60 to 60 mV). The K+ dependence of the PPi-induced current was investigated by substitution of cytoplasmic K+ by other cations. The selectivity sequence was: K+ > or = Rb+ > NH4+ = Cs+ > Na+ > Li+ = choline+, and was independent of the membrane voltage and pHcyt. With Cs+ or Li+ in the bath and K+ inside the vacuole the PPi-induced current became voltage-dependent, and positive currents were observed even if the pump was geared to operate in the forward mode. We suggest a "tunneling' effect through a channel-like domain in the PPase molecule which, under defined electrochemical gradient conditions and in the presence of PPi, allows K+ ions to cross the energy barrier usually separating the cytoplasmic from the vacuolar face of the pump.

Effects of external pH on binding of external sulfate, 4.4-dinitro-stilbene-2,2'-disulfonate (DNDS), and chloride to the band 3 anion exchange protein

A model in which two positively-charged titratable sites enhance the affinity for anionic substrates can explain the increase in external iodide dissociation constant (K(O)(I)) with increasing pH(O) (Liu, S. J., F.-Y. Law, and P.A. Knauf. 1996.f Gen.Physiol. 107:271-291). If sulfate binds to the same external site as I-, this model predicts that the SO(4)= dissociation constant (K(O)(S)) should also increase. The data at pH 0 8.5 to 10 fit this prediction, and the pK for the titration is not significantly different from that (pKc) for the low-pK group that affects K(O)(1). The dissociation constant for the apparently competitive inhibitor, DNDS (4,4-dinitrostilbene-2,2'-disulfonate), also increases greatly as pH(O) increases. Particularly at high pH(O), a noncompetitive inhibition by DNDS is also evident. Increasing pH(O) from 7.2 to 11.2 increases the competitive dissociation constant by 700-fold, but the noncompetitive is only increased 20-fold. The pK values for these effects are similar to pKc for K(O)(1), as expected if DNDS binds near the external transport site, but it seems likely that additional titratable groups also affect DNDS binding. The apparent affinity for external Cl- is also affected by pH(O), in a manner similar to that observed for I-. Pretreatment with the amino-selective reagent, bis-sulfosuccinimidyl suberate (BSSS), decreases the apparent Cl- affinity at pH 8.5, but two titrations are still evident, the first (lower) of which decreases the apparent C- affinity, and the second of which surprisingly increases it. Thus, the BSSS-reactive amino groups (probably Lys-539 and Lys-851) do not seem to be involved in the titrations that affect Cl- affinity. In general, the data support the concept that a positively charged amino group (or groups), together with a guanidino group, plays an important role in the binding of substrates and inhibitors at or near the external transport site.

Effects of external pH on substrate binding and on the inward chloride translocation rate constant of band 3

To test the hypothesis that amino acid residues in band 3 with titratable positive charges play a role in the binding of anions to the outside-facing transport site, we measured the effects of changing external pH (pH(O)) on the dissociation constant for binding of external iodide to the transport site, K(O)(I). K(O)(I) increased with increasing pH(O), and a significant increase was seen even at pH(O) values as low as 9.9. The dependence of K(O)(I) on pH(O) can be explained by a model with one titratable site with pK 9.5 +/- 0.2 (probably lysine), which increases anion affinity for the external transport site when it is in the positively charged form. A more complex model, analogous to one recently proposed by Bjerrum (1992), with two titratable sites, one with pK 9.3 +/- 0.3 (probably lysine) and another with pK > 11 (probably arginine), gives a slightly better fit to the data. Thus, titratable positively charged residues seem to be functionally important for the binding of substrate anions to the outward-facing anion transport site. In addition, analysis of Dixon plot slopes for L inhibition of Cl- exchange at different pH 0 values, coupled with the assumption that pH(O) has parallel effects on external I- and Cl- binding, indicates that k', the rate-constant for inward translocation of the complex of Cl- with the extracellular transport site, decreases with increasing pH(O). The data are compatible with a model in which titration of the pK 9.3 residue decreases k to 14 +/- 10% of its value at neutral pH(O). This result, however, together with Bjerrum's (1992) observation that the maximum flux J(M)) increases 1.6-fold when this residue is deprotonated, makes quantitative predictions that raise significant questions about the adequacy of the two titratable site ping-pong model or the assumptions used in analyzing the data.

Hydrochlorothiazide enhances the apical Cl- backflux in rabbit gallbladder epithelium: radiochemical analysis

Hydrochlorothiazide (HCTZ) was shown to inhibit the transepithelial NaCl transport and the apical Na(+)-Cl- symport and to depolarize the apical membrane potential in the rabbit gallbladder epithelium. The depolarization was likely related to the opening of a Cl- conductance. To better understand whether an apical Cl- leak is involved in the mechanism of action of HCTZ, the transapical Cl- backflux was measured radiochemically by the washout technique. The gallbladder wall, pretreated with pronase on the serosal side to homogenize the subepithelium, was loaded with 36Cl- on the luminal side; mucosal and serosal 36Cl- effluxes (Jm, Js) were then measured every 2 min. The pretreatment with pronase did not alter the membrane potentials and the selectivity of the epithelium. Under control conditions and the tissue in steady-state, Jm and Js time courses were each described by two exponential decays (A, B); the rate constants, kA and kB, were 0.71 +/- 0.03 and 0.16 +/- 0.01 min-1, respectively, and correspondingly the half-times (tA1/2, tB1/2) were 1.01 +/- 0.05 and 5.00 +/- 0.44 min (n = 10); these parameters were not significantly different for Jm and Js time courses. Js was always greater than Jm (Js/Jm = 2.02 +/- 0.22 and 1.43 +/- 0.17 for A and B decays). Under SCN- treatment in steady-state conditions, both Jm and Js time courses were described by only one exponential decay, the component B being abolished. Moreover tA1/2 was similar to that predictable for the subepithelium. It follows that it is the component B which exits the epithelial compartment. Based on the intracellular specific activity and 36Cl- JBm at 0 min time of the washout experiment, the cell-lumen Cl- backflux in steady-state was calculated to be equal to about 2 mumol cm-2hr-1, in agreement with the value indirectly computable by other techniques. The experimental model was well responsive to different external challenges (increases in media osmolalities; luminal treatment with nystatin). HCTZ (2.5 x 10(-4) M) largely increased 36Cl- JBm. The increase was abolished by luminal treatment with 10(-4) M SITS, which not only brought back the efflux time courses to the ones observed under control conditions but even increased Js/Jm of the cellular component, an indication of a reduced JBm. It is concluded that HCTZ opens an apical, SITS-sensitive Cl- leak, which contributes to dissipate the intracellular Cl- accumulation and to inhibit the NaCl transepithelial transport.(ABSTRACT TRUNCATED AT 400 WORDS)

WW-781, a potent reversible inhibitor of red cell Cl- flux, binds to band 3 by a two-step mechanism

WW-781 ([3-methyl-1-p-sulfophenyl-5-pyrazolone-(4)]-[1,3-dibutylbarbit uric acid]-pentamethine oxonol), a fluorescent dye that has been used for measuring membrane potentials by optical methods, inhibits human red blood cell Cl- exchange, which is mediated by the membrane protein known as band 3 or capnophorin. The inhibition is slowly reversible upon removal of WW-781 from the medium, with a half time of approximately 4.7 min in 150 mM Cl- medium at 0 degrees C. The mechanism of inhibition by WW-781 involves a two-step binding reaction. WW-781 binds rapidly to band 3 to form an initial complex, which can also rapidly dissociate. Formation of this initial complex is followed by the much slower formation of a second complex (with a rate constant of approximately 1.1 min-1), probably involving a protein conformational change, through which WW-781 is more tightly bound to band 3. At low concentrations, WW-781 inhibits Cl- exchange with a stoichiometry of 1 WW-781 molecule per band 3 monomer, suggesting that under these conditions the binding of WW-781 is highly selective for the band 3 protein.

Lys-430, site of irreversible inhibition of band 3 Cl- flux by eosin-5-maleimide, is not at the transport site

Although eosin-5-maleimide (EM) covalently labels band 3 and has been thought to react at the external-facing anion transport site, EM reversibly inhibits Cl- exchange at 0 degrees C in a noncompetitive fashion, indicating that under these conditions it does not bind to the transport site [Knauf, P.A., N.M. Strong, J. Penikas, R.B. Wheeler, Jr., and S.J. Liu. Am. J. Physiol. 264 (Cell Physiol. 33): C1144-C1154 1993]. To see whether or not the covalent labeling by EM takes place at the same noncompetitive site as the reversible binding, we examined the dependence of reaction rate on EM concentration. The reaction rate saturates with increasing EM concentration, indicating that reversible binding precedes covalent reaction and that EM therefore acts as an affinity label. A more complex model in which reversible binding prevents a bimolecular reaction at a different site cannot, however, be ruled out. Cl- gradients across the membrane affect EM reversible binding in a manner suggesting that EM binds preferentially to the Eo form of band 3, with the transport site unloaded and facing outward. Thus EM binds to and probably reacts covalently with a site that is different from the transport site, but whose conformation is affected by the orientation of the transport site. Lysine-430, the amino acid residue which is covalently labeled by EM (4), may be near the transport site but does not seem to be directly involved in the binding of transported substrates such as chloride. EM binding to one band 3 monomer decreases the reactivity of the adjacent monomer but does not decrease the affinity constant of the reversible binding step that precedes covalent reaction. Although a small fraction (approximately 1%) of band 3 monomers fail to react with EM, EM nearly completely inhibits transport in those monomers with which it reacts.

Pore-like and carrier-like properties of the mitochondrial aspartate/glutamate carrier after modification by SH-reagents: evidence for a performed channel as a structural requirement of carrier-mediated transport

Upon modification of the reconstituted aspartate/glutamate carrier by mercury reagents the antiporter was converted into a unidirectional efflux carrier (Dierks, T., Salentin, A., Heberger, C. and Krämer, R. (1990) Biochim. Biophys. Acta 1028, 268). In addition to this basic change in the mechanism, the mercurials, reacting with exofacial cysteines, also affected the internal binding site of the carrier leading to an unmeasurable high Km and to a drastically reduced substrate specificity. The spectrum of efflux substrates comprised small anions from chloride to glutamate, but not cationic amino acids and ATP, hence resembling pore-like properties. However, in the efflux state important carrier properties were also observed. The activation energy (86 kJ/mol) was as high as for the antiport. Furthermore, efflux was inhibited by the presence of external substrate. This trans-inhibition strongly suggests that the external binding site of the carrier, prerequisite in the antiport mechanism, also is involved in conformational transitions during efflux function. However, antiport no longer is catalyzed after switching to the efflux state. Reversion of the induced efflux carrier to the antiport state was achieved using dithioerythritol, thereby further restoring substrate specificity and saturation kinetics. A model for antiport-efflux interconversion is presented suggesting that two reactive cysteines have to be modified in order to uncouple the inward and outward directed component of antiport. The pore-type characteristics of efflux are taken as evidence that a channel-like structure determines the selectivity of unidirectional transport. This intrinsic channel of the protein then is required for substrate translocation also during antiport function.

Characterization of Na(+)-independent Mg2+ efflux from erythrocytes

Na(+)-independent Mg2+ efflux from Mg2(+)-loaded human, rat and chicken erythrocytes was reduced by extracellular Cl-. Na(+)-independent Mg2+ efflux at low extracellular Cl- concentration (sucrose medium) was inhibited by SITS and was nearly insensitive to SITS in 150 mM choline Cl medium. The inhibition of Mg2+ efflux by extracellular Cl- and DIDS could be overcome by the lipophilic permeant tetraphenylphosphonium cation. Na(+)-independent Mg2+ efflux from human and rat erythrocytes in sucrose and choline Cl medium was inhibited by cAMP and by amiloride and amiloride analogues. The results indicate that Na(+)-independent Mg2+ efflux in high Cl- medium is performed by a similar or the same Mg2+ efflux system, operating in sucrose medium in which the efflux of Mg2+ is accompanied by the efflux of Cl- for charge compensation.

Net efflux of chloride from cell suspensions measured with a K+ electrode

Under appropriate conditions (presence of cation ionophores) net KCl efflux measured with a K+ electrode can be used to estimate conductive Cl- fluxes, a sensitive procedure that allows continuous recording. The procedure was tested in human red cells by demonstrating effects of ionophores and of an anion transport inhibitor, and in dissociated MDCK cells by demonstration of cAMP and volume-activated Cl- fluxes.

Flufenamic acid senses conformation and asymmetry of human erythrocyte band 3 anion transport protein

With Cl as substrate, the human red blood cell anion transport (band 3) protein can exist in four conformations: Ei, with the transport site facing the cytoplasm; Eo, with the transport site facing the external medium; and ECli and EClo, the corresponding forms loaded with Cl. Flufenamic acid (FA), an inhibitor that binds to an external site different from the transport site, binds to Eo with a dissociation constant of 0.0826 +/- 0.0049 (SE) microM. Binding of iodide or sulfate to the external-facing transport site reduces the affinity by 1.66 or 14.3-fold, respectively. Changing from Eo to Ei lowers the affinity by 3.7-fold, and binding of cytoplasmic iodide to Ei further decreases the affinity by 5.5-fold. Thus changes in orientation of the transport site and substrate binding, even at the opposite side of the membrane, cause sufficient conformational changes in band 3 to affect FA binding substantially. If the possible effects of Cl binding to the transport site on FA affinity are estimated from the iodide data, the dependence of FA inhibitory potency on Cl concentrations inside and outside the cell suggests that there are at least 6.5 times as many inward-facing as outward-facing Cl-loaded transport sites. This information can be used to calculate the distribution of capnophorin among the various conformations under different circumstances and to devise conditions for recruiting the transport molecules toward a particular conformation.

Na+-independent Mg2+ efflux from Mg2+-loaded human erythrocytes

Net Mg2+ efflux from Mg2+-loaded human erythrocytes was maximal after reincubation in sucrose. Net Mg2+ efflux was not inhibited by furosemide or bumetanide and, therefore, was not performed by the (Na,K,Cl)- or (K,Cl)-cotransport system. A component of net Mg2+ efflux was inhibited by extracellular NaC1, KCl, LiCl, choline Cl and SITS, in analogy to the inhibition of net Cl- and SITS. Therefore, it was concluded that net Mg2+ efflux is dependent on net Cl- efflux for charge compensation. Cl- -dependent net Mg2+ efflux was inhibited by amiloride. Only 10% of the maximal net Mg2+ efflux may depend on extracellular Na+.

Na- and Cl-dependent glycine transport in human red blood cells and ghosts. A study of the binding of substrates to the outward-facing carrier

Na- and Cl-dependent glycine transport was investigated in human red blood cells. The effects of the carrier substrates (Na, Cl, and glycine) on the glycine transport kinetics were studied with the goal of learning more about the mechanism of transport. The K1/2-gly was 100 microM and the Vmax-gly was 109 mumol/kg Hb.h. When cis Na was lowered (50 mM) the K1/2-gly increased and the Vmax-gly decreased, which was consistent with a preferred order of rapid equilibrium loading of glycine before Na. Na-dependent glycine influx as a function of Na concentration was sigmoidal, and direct measurement of glycine and Na uptake indicated a stoichiometry of 2 Na:1 glycine transported. The sigmoidal response of glycine influx to Na concentration was best fit by a model with ordered binding of Na, the first Na with a high K1/2 (greater than 250 mM), and the second Na with a low K1/2 (less than 10.3 mM). In the presence of low Cl (cis and trans 5 mM), the K1/2-gly increased and the Vmax-gly increased. The Cl dependence displayed Michaelis-Menten kinetics with a K1/2-Cl of 9.5 mM. At low Cl (5 mM Cl balanced with NO3), the glycine influx as a function of Na showed the same stoichiometry and Vmax-Na but a decreased affinity of the carrier for Na. These data suggested that Cl binds to the carrier before Na. Experiments comparing influx and efflux rates of transport using red blood cell ghosts indicated a functional asymmetry of the transporter. Under the same gradient conditions, Na- and Cl-dependent glycine transport functioned in both directions across the membrane but rates of efflux were 50% greater than rates of influx. In addition, the presence of trans substrates modified influx and efflux differently. Trans glycine largely inhibited glycine efflux in the absence or presence of trans Na; trans Na largely inhibited glycine influx and this inhibition was partially reversed when trans glycine was also present. A model for the binding of these substrates to the outward-facing carrier is presented.

The effect of ATP, intracellular calcium and the anion exchange inhibitor DIDS on conductive anion fluxes across the human red cell membrane

The influence of ATP depletion, the intracellular ionized Ca-concentration, anion substitution and DIDS on the conductive anion fluxes across the human red cell membrane has been examined. Under physiological or near physiological conditions it is not possible to observe conductive anion fluxes across the erythrocyte membrane in that anions totally dominate the membrane conductance. Consequently anions are at electro-chemical equilibrium and the netflux is zero. However, conductive anion fluxes can be induced by raising the potassium conductance, either by addition of valinomycin, or by triggering the native calcium activated potassium channel by addition of the Ca2+ ionophore A23187 to cells suspended in a calcium containing medium. The interpretation of data from experiments with valinomycin induced netfluxes has normally been done according to a constant field model, and the results have consequently been given as permeabilities. Since it has been demonstrated recently, that these cation pathways do not conform to a constant field scheme (Bennekou, P. and Christophersen, P. (1986) J. Membr. Biol. 93, 221-227 and Vestergaard-Bogind, B., Stampe, P. and Christophersen, P. (1985) J. Membr. Biol. 88, 67-75), it has been chosen, instead of permeabilities, to calculate the ion conductances from net efflux data, using an independent estimate of the membrane potential. The main result reported, is that only one component is found for the conductive anion fluxes in the presence of DIDS using the latter theoretical framework, whereas a sizeable DIDS-insensitive component is found when the constant field analysis is used. Furthermore it is found that ATP and intracellular calcium do not influence the anion conductances.

Ion transport mediated by copolymers composed of polyoxyethylene and polyoxypropylene

Block copolymers composed of polyoxyethylene and polyoxypropylene were found to increase the influx of Na+ and the efflux of K+ from human erythrocytes. They were, however, ineffective at promoting the transport of Ca2+. The size of the ion fluxes induced by the copolymers correlated with their efficacy in stimulating inflammation. These compounds were also found to induce conductance increases in planar lipid bilayers in a nonvoltage dependent and nonstepwise manner. In both experimental systems, ion transport was facilitated only under temperature and ionic-strength conditions in which the polymers form aggregates in aqueous solution. In neither system did the concentration dependence of transport activity exhibit a pronounced cooperativity. These observations are consistent with the view that aqueous monomers of these surface active agents partition into the membrane, where they facilitate the conductive movement of monovalent cations by means of a carrier type mechanism. As a novel class of ionophores, these substances are of practical interest because they can be water soluble and are potentially reversible.

Ion transport by lasalocid A across red-blood-cell membranes. A multinuclear NMR study

Na+ and K+ fluxes mediated by lasalocid A across erythrocyte membranes have been determined from 23Na-NMR peak areas and chemical shifts, respectively. In similar experiments, Cl- transport has been monitored by NMR signal intensities. Taking into account the external pH variations, the results are readily explainable in terms of charge-balance conservation. The effect of disodium 4,4'-diisothiocyanostilbene-2,2'-disulfonate, an anion-exchange inhibitor, has also been studied.

Potential dependence of the "electrically silent" anion exchange across the plasma membrane of Xenopus oocytes mediated by the band-3 protein of mouse red blood cells

Mouse erythroid band-3 protein was incorporated into the plasma membrane of Xenopus oocytes by microinjection of poly(A)+-mRNA from spleens of anemic mice. Subsequently, the efflux of microinjected 36Cl was continuously followed in single oocytes in a perfusion chamber the bottom of which was formed by the window of a Geiger-Müller tube. During the flux measurements, the membrane potential was clamped to different holding potentials. The efflux increased over the voltage range of -10 to -100 mV by a factor of about 1.5. Since the membrane potential cannot act as a driving force of anion exchange, it is suggested that the observed slight potential dependence is related to a recruitment of the anion-loaded transport protein by the electrical field, thereby changing the steady-state distribution between inwardly and outwardly facing anion binding sites of the transport molecules. The experimental data are discussed in terms of ping-pong kinetics, assuming that the potential dependence is primarily due to an effect of the electrical field in the membrane on the rate-limiting interconversion of inwardly and outwardly oriented anion binding sites. The results are compatible with the assumption that in the oocyte membrane the substrate-loaded band-3 molecules are preferentially inwardly oriented, and that the transition from the inwardly to the outwardly oriented conformation is associated with a reorientation of an effective charge of 0.1 elementary charge. During progesterone-induced maturation of the oocytes, several endogenous transport systems change their activity drastically. The mouse band-3 protein in the oocyte membrane also undergoes activity changes; however, these changes do not seem to involve direct regulation by specific metabolic processes. They can be explained as a consequence of the depolarization of the membrane potential associated with the maturation process.

Electrodiffusion of Cl- and K+ in epithelial membranes reconstituted into planar lipid bilayers

An electrodiffusive permeability for Cl-, its activation by low extracellular Cl--concentrations and the interaction between electrodiffusive fluxes of Cl- and K+ are demonstrated in the ventricular membranes from the epithelium of the bovine choroid plexus. Membranes were fused into artificial lipid bilayers formed at the tip of micropipettes. What is thought to be the cytoplasmic side of the membrane (the trans-side or the inside of pipette) was clamped at negative potentials (0 to -90 mV). Under these conditions the current was discrete, fluctuating less than 2 pA. With Cl- as the only conducting ion on the two sides we observed a small electrodiffusive permeability which was reduced by bumetanide or furosemide by 62%. When the outside solution was rendered Cl--free then the permeability to Cl- increased by a factor of 2-5; this activation was reduced by bumetanide or furosemide by about 80%. We observed an interaction between inwards movements of K+ and outwards movements of Cl- via the activated permeability: The total current was smaller than the sum of the expected inward K+-current and the expected outward activated Cl--current. Bumetanide or furosemide increased the total current; apparently the loss of current carried by Cl- was smaller than the gain in current carried by K+. The presence of K+ on both sides of the membrane was a condition for this interaction.

The effects of chloride ions on electrodiffusion in the membrane of a leaky epithelium. Studies of intact tissue by microelectrodes

The electrodiffusive permeability for Cl-, its dependence on low extracellular Cl--concentrations and the interaction between the movements of Cl- and K+ were investigated in the ventricular membrane of epithelial cells from the choroid plexus of Necturus maculosus. Cells were probed with ion-selective microelectrodes sensitive to Cl-, K+ and H+. The initial effects of abrupt changes in the Cl--concentration (Cl-v) and/or the K+-concentration (K+v) of the ventricular solution were investigated. The effect of changing the membrane potential by changing K+v was twofold: It caused an electrodiffusive flux of Cl- via a permeability of 1.3 X 10(-6) cm s-1. This permeability together with the K+-permeability of the ventricular membrane (24 X 10(-6) cm s-1) determined the membrane potential in the given steady state within a few mV. The other effect of the depolarization was an increase in the intracellular concentration of HCO-3 which in turn caused an influx of Cl- via electroneutral Cl-/HCO-3 exchange. The Cl--permeability was reduced by more than 60% and the neutral exchange by more than 90% by furosemide. The effect of decreases in Clv was a tenfold increase of the electrodiffusive Cl--permeability of the ventricular membrane to 12.2 X 10(-6) cm s-1 and also a tenfold increase in the permeability to K+. This activation was reduced by two thirds by furosemide, and by depolarizations of the cell by high K+v. In the given steady state the HCO-3/Cl- exchanger at the ventricular membrane transports at a rate of 300 pmol cm-2 s-1 and moves Cl- into the cell and HCO-3 into the ventricular solution. Thus the epithelium alkalinizes the cerebrospinal fluid at a rate which is about three times faster than the net transport rate of Na+.

Characterization of eosin 5-isothiocyanate binding site in band 3 protein of the human erythrocyte

The characteristics of the anion transport system in human erythrocyte, which can be modified by eosin 5-isothiocyanate (EITC), were studied using the pH titration method and by measuring the sulfate efflux. Based on the pH dependence of EITC binding to the erythrocyte ghosts, it was found that the reaction rate was maximal at about pH 6.4, and that the pH profile of EITC binding was similar to that of divalent anion transport. The interaction between EITC and ghosts was interpreted by a two-step reaction, a fast ionic-binding reaction and a slow covalent-binding reaction. The induced CD spectrum of the EITC-ghost system was also dependent on pH. The intensity of the CD band at 530 nm was decreased in acidic pH region, and the inflection point was observed at about pH 6.3, indicating a participation of the histidine residue in the interaction of EITC with band 3. In order to characterize the EITC-binding site, the kinetics of sulfate efflux in intact and EITC-modified cells were examined at various pH values. The inhibitory effect of EITC was dependent on pH. From the experimental results, the followings are suggested. The rate of ionic interaction in the early stage is much slower than that in a general ionic reaction. A conformational change may participate in the reaction. The conformation of the EITC-binding site depends on pH, relating to the dissociation of the histidine residues. The EITC molecules act also as a competitive inhibitor to the sulfate efflux after binding covalently to band 3 protein.

Interactions of inhibitors on anion transporter of human erythrocyte

Chloride tracer efflux was measured from intact human erythrocytes into media containing different chloride concentrations and different concentrations of the inhibitors 4,4'-dinitrostilbene-2-2'-disulfonate (DNDS), N-(4-azido-2-nitrophenyl)-2-aminoethylsulfonate (NAP-taurine), phloretin, and sulfate. The data were analyzed to test whether these inhibitors were mutually exclusive with each other or whether they could bind at the same time. Under the assumption that mutual exclusiveness is due to steric interference, the data can be used to map out the protein surface near the outward-facing anion binding-transport site. It is concluded that there are separate domains for NAP taurine and phloretin that do not overlap with each other or with the chloride binding site. These two domains do, however, overlap with the binding domain for DNDS that, in addition, excludes the binding of chloride and sulfate.

Cation depletion by the sodium pump in red cells with pathologic cation leaks. Sickle cells and xerocytes

The mechanism by which sickle cells and xerocytic red cells become depleted of cations in vivo has not been identified previously. Both types of cells exhibit elevated permeabilities to sodium and potassium, in the case of sickle cells, when deoxygenated. The ouabain-insensitive fluxes of sodium and potassium were equivalent, however, in both cell types under these conditions. When incubated 18 hours in vitro, sickle cells lost cations but only when deoxygenated. This cation depletion was blocked by ouabain, removal of external potassium, or pretreatment with 4,4'-diisothiocyanostilbene-2,2'-disulfonate, which blocks the increase in cation permeability induced by deoxygenation. The loss of cation exhibited by oxygenated xerocytes similarly incubated was also blocked by ouabain. These data support the hypothesis that the elevated "passive" cation fluxes of xerocytes and deoxygenated sickle cells are not directly responsible for cation depletion of these cells; rather, these pathologic leaks interact with the sodium pump to produce a net loss of cellular cation.

Anion transport systems in the plasma membrane of vertebrate cells

In the case of the red blood cell, anion transport is a highly specific one-for-one exchange catalyzed by a major membrane protein known as band 3 or as capnophorin. This red cell anion-exchange system mediates the Cl-(-)HCO3- exchange responsible for most of the bicarbonate transport capacity of the blood. The rapidly expanding knowledge of the molecular biology and the transport kinetics of this specialized transport system is very briefly reviewed in Section III. Exchange diffusion mechanisms for anions are found in many cells other than erythrocytes. The exchange diffusion system in Ehrlich cells has several similarities to that in red cells. In several cell types (subsection IV-B), there is evidence that intracellular pH regulation depends on Cl-(-)HCO3- exchange processes. Anion exchange in other single cells is described in Section IV, and its role in pH regulation is described in Section VII. Anion exchange mechanism operating in parallel with, and only functionally linked to Na+-H+ or K+-H+ exchange mechanisms can also play a role in cell volume regulation as described in Section VII. In the Ehrlich ascites cell and other vertebrate cells, electroneutral anion transfer has been found to occur also by a cotransport system for cations and chloride operating in parallel with the exchange diffusion system. The cotransport system is capable of mediating secondary active chloride influx. In avian red cells, the cotransport system has been shown to be activated by adrenergic agonists and by cyclic AMP, suggesting that the cotransport is involved in regulatory processes (see subsection V-A.). In several cell types, cotransport systems are activated and play a role during volume regulation, as described in Section V and in Section VII. It is also likely that this secondary active cotransport of chloride plays a significant role for the apparently active extrusion of acid equivalents from certain cells. If a continuous influx of chloride against an electrochemical gradient is maintained by a cotransport system, the chloride disequilibrium can drive an influx of bicarbonate through the anion exchange mechanism, as described in Section VII. Finally, even the electrodiffusion of anions is shown to be regulated, and in Ehrlich cells and human lymphocytes an activation of the anion diffusion pathway plays a major role in cell volume regulation as described in Section VI and subsection VII-B.(ABSTRACT TRUNCATED AT 250 WORDS)

Flow-force relationships for a six-state proton pump model: intrinsic uncoupling, kinetic equivalence of input and output forces, and domain of approximate linearity

General flow-force relations have been determined, by the Hill diagram method, for a six-state proton pump model with and without intrinsic uncoupling (molecular slipping). A computer-aided analysis of the resulting sigmoidal flow-force curves has been performed by using a set of physically meaningful rate constants. It is shown that gating effects and apparent irreversibility can arise from sigmoidicity. The regions of approximate linearity in the vicinity of inflection points, which may be far from equilibrium, have been examined with a view to characterization in terms of linear phenomenological equations, with due regard to the problems of kinetic equivalence of the forces and symmetry. The determination of thermodynamic parameters such as the degree of coupling, the phenomenological stoichiometry, and the efficiency in these regions is discussed, and their meaning is analyzed in relation to the parameters characterizing the Onsager domain close to equilibrium. The application of the phenomenological equations of near-equilibrium nonequilibrium thermodynamics to such regions is at best a simplification to be treated with great caution. A knowledge of the distance from equilibrium of the flow-controlling ranges of the forces (i.e., the ranges of approximate linearity) turns out to be crucial for the interpretation of thermodynamic parameters determined by manipulating one of the forces while the other remains constant, as well as for the interpretation of measurements of force ratios at static head. The latter approaches can give good estimates of the magnitude of the mechanistic stoichiometry and of the constant force if the pumps are highly coupled and are operating not far from equilibrium. The force-flow relationships are shown to be modified by intrinsic uncoupling, reflecting the regulatory influence of the forces on the extent and nature of the slip. Thus reaction slip increases, for example, as the force against which the proton pump operates increases. The possible physiological significance of regulated intrinsic uncoupling is discussed.

Effects of N-ethylmaleimide on ouabain-insensitive cation fluxes in human red cell ghosts

In red cells of several species, the sulfhydryl reagent N-ethylmaleimide activates a Cl- -dependent, ouabain-resistant K+ transport pathway. Here we report our attempts to demonstrate ouabain-resistant Cl- -dependent K+ fluxes stimulated by N-ethylmaleimide in resealed human red cell ghosts using Rb+ as a K+ analogue. In contrast to intact cells, the rate constants of the base level Rb+ efflux in ghosts were similar in NaNO3 and NaCl (okRb = 0.535 +/- 0.079 h-1 and 0.534 +/- 0.085 h-1, respectively), while 1 mM N-ethylmaleimide stimulated Rb+ efflux strongly in NaNO3 (okRb = 14.26 +/- 1.32 h-1) and moderately in NaCl (okRb = 2.73 +/- 0.54 h-1). This effect was dependent on the presence of internal ATP. Stimulation of Rb+ efflux was observed in the presence of greater than or equal to 0.2 mM N-ethylmaleimide and increased at pH values approaching 8.0, consistent with titration of SH groups. N-Ethylmaleimide-stimulated Rb+ efflux was approx. 50% inhibited by 100 microM quinine sulfate whereas 1 microM bumetanide had no effect. In NaCl the N-ethylmaleimide-stimulated efflux saturated with initial internal ghost Rb+ concentration, but rates increased linearly in NaNO3. Replacement of external Na+ with glucamine or choline decreased the N-ethylmaleimide-stimulated Rb+ efflux, suggesting a role for external Na+. N-Ethylmaleimide-stimulated Rb+ efflux was greater in buffers with lipophilic anions such as SCN- or NO3- than in solutions with Cl- or acetate. However, the cation selectivity of the pathway studied was low, as Li+ efflux was also stimulated by N-ethylmaleimide. We conclude that the effect of N-ethylmaleimide on ouabain-resistant cation effluxes of human red cell ghosts is very different from the selective action of N-ethylmaleimide on Rb+ influxes in intact red cells.

Concentration dependence of the unidirectional sulfate and phosphate flux in human red cell ghosts under selfexchange and under homoexchange conditions

The concentration dependence of the sulfate and the phosphate selfexchange and homoexchange fluxes was studied in resealed red cell ghosts (25 degrees C, pH 7.3). The selfexchange fluxes were calculated from the rate constant of the tracer back-exchange and from the intracellular substrate anion content. The homoexchange fluxes were determined from the initial cis-to-trans tracer fluxes and the initial specific substrate anion activities at the cis-membrane side. Sulfate and phosphate concentrations ranging from approx. 2-100 mM were employed. The selfexchange fluxes of sulfate and of phosphate exhibit sigmoidal flux/concentration curves. The apparent Hill coefficients were in the range of 1.2-1.4 indicating a type of positive cooperativity. Under homoexchange conditions the positive cooperativity of the flux/concentration curves disappears. The outward homoexchange fluxes of sulfate and phosphate display a saturation kinetics with Hill coefficients close to 1.0. The inward homoexchange fluxes exhibit a negative type of cooperativity with Hill coefficients smaller than 1.0. The sulfate and the phosphate half-saturation concentrations for the outer and the inner membrane surface are equal in size and amount to approx. 35 mM for sulfate and to approx. 110 mM for phosphate, respectively. The positive cooperativity of the unidirectional sulfate and phosphate fluxes under selfexchange conditions and the disappearance of the positive cooperativity under homoexchange conditions indicate a cooperativity of the translocation process. The saturation of the outward homoexchange flux and the negative cooperativity of the inward homoexchange flux suggest a substrate anion binding according to the law of mass action at the inner and a negative cooperativity of substrate anion binding at the outer membrane surface.