Interactions of K+ ATP channel blockers with Na+/K+-ATPase

Two K⁺ _ATP channel blockers, 5-hydroxydecanoate (5-HD) and glyburide, are often used to study cross-talk between Na⁺/K⁺-ATPase and these channels. The aim of this work was to characterize the effects of these blockers on purified Na⁺/K⁺-ATPase as an aid to appropriate use of these drugs in studies on this cross-talk. In contrast to known dual effects (activating and inhibitory) of other fatty acids on Na⁺/K⁺-ATPase, 5-HD only inhibited the enzyme at concentrations exceeding those that block mitochondrial K⁺ _ATP channels. 5-HD did not affect the ouabain sensitivity of Na⁺/K⁺-ATPase. Glyburide had both activating and inhibitory effects on Na⁺/K⁺-ATPase at concentrations used to block plasma membrane K⁺ _ATP channels. The findings justify the use of 5-HD as specific mitochondrial channel blocker in studies on the relation of this channel to Na⁺/K⁺-ATPase, but question the use of glyburide as a specific blocker of plasma membrane K⁺ _ATP channels, when the relation of this channel to Na⁺/K⁺-ATPase is being studied.     

Reconstitution in phospholipid vesicles of calcium-activated potassium channel from outer renal medulla

Summary A barium-sensitive Ca-activated K⁺ channel in the luminal membrane of the tubule cells in thick ascending limb of Henle's loop is required for maintenance of the lumen positive transepithelial potential and may be important for regulation of NaCl reabsorption. In this paper we examine if the K⁺ channel can be solubilized and reconstituted into phospholipid vesicles with preservation of its native properties. The K⁺ channel in luminal plasma membrane vesicles can be quantitatively solubilized in CHAPS at a detergent/protein ratio of 3. For reconstitution, detergent is removed by passage over a column of Sephadex G 50 (coarse). K⁺-channel activity is assayed by measurement of⁸⁶Rb⁺ uptake against a large opposing K⁺ gradient. The reconstituted K⁺ channel is activated by Ca²⁺ in the physiological range of concentration (K_1/22×10^–7 m at pH 7.2) as found for the K⁺ channel in native plasma membrane vesicles and shows the same sensitivity to inhibitors (Ba²⁺, trifluoperazine, calmidazolium, quinidine) and to protons. Reconstitution of the K⁺ channel into phospholipid vesicles with full preservation of its native properties is an essential step towards isolation and purification of the K⁺-channel protein.Titration with Ca²⁺ shows that most of the active K⁺ channels in reconstituted vesicles have their cytoplasmic aspect facing outward in contrast to the orientation in plasma membrane vesicles, which requires also addition of Ca²⁺ ionophore in order to observe Ca²⁺ stimulation. The reconstituted K⁺ channel is highly sensitive to tryptic digestion. Brief digestion leads to activation of the K⁺ channel in absence of Ca²⁺, to the level of activity seen with saturating concentrations of Ca²⁺. This tryptic split is located in a cytoplasmic aspect of the K⁺ channel that appears to be involved in opening and closing the K⁺ channel in response to Ca²⁺ binding.     

K+ Channels in the Plasma Membrane of Lily Pollen Protoplasts

Using the patch-clamp technique K⁺ channels could be observed in the plasma membrane of protoplasts from pollen grains of Lilium longiflorum. With depolarizing membrane potentials the open probability of the different K⁺ channels increased. Two K⁺ channel populations occurring occasionally had a single channel conductance of 120 pS and 42 pS, respectively. The most often observed K⁺ channel had a single channel conductance of 19 pS which showed an increase of channel activity with increasing free cytoplasmic Ca²⁺ concentration. This channel population might be involved in the pathway of endogenous transcellular K⁺ currents which are activated during pollen tube tip extension.     

Calcium-independent K+-selective channel from chromaffin granule membranes

Summary Intact adrenal chromaffin granules and purified granule membrane ghosts were allowed to fuse with acidic phospholipid planar bilayer membranes in the presence of Ca²⁺ (1 mm). From both preparations, we were able to detect a large conductance potassium channel (ca. 160 pS in symmetrical 400 mm K⁺), which was highly selective for K⁺ over Na⁺ (P _k/P _Na = 11) as estimated from the reversal potential of the channel current. Channel activity was unaffected by charybdotoxin, a blocker of the [Ca²⁺] activated K⁺ channel of large conductance. Furthermore, this channel proved quite different from the previously described channels from other types of secretory vesicle preparations, not only in its selectivity and conductance, but also in its insensitivity to both calcium and potential across the bilayer. We conclude that the chromaffin granule membrane contains a K⁺-selective channel with large conductance. We suggest that the role of this channel may include ion movement during granule assembly or recycling, and do not rule out events leading to exocytosis.     

ATP-regulated K+ channel in mitochondria: Pharmacology and function

Mitochondria from several tissues contain a potassium-specific channel similar to the ATP-regulated K⁺ (K_ATP) channel of the plasma membrane. The mitochondrial channel shares with the plasma membrane K_ATP channel the sensitivity to sulfonylurea derivatives and some other blockers as well as to channel openers of diverse chemical character. In contrast to the plasma membrane channel, which is blocked by free ATP, the mitochondrial K_ATP channel reconstituted into liposomes requires the ATP-Mg complex for inhibition. The mitochondrial K_ATP channel, possibly in a concerted action with other K⁺ permeability pathways, plays an important role in mitochondrial volume control. Its function in the regulation of the components of the protonmotive force is also suggested.     

Interaction of local anesthetics with the K+ channel pore domain

Local anesthetics and related drugs block ionic currents of Na⁺, K⁺ and Ca²⁺ conducted across the cell membrane by voltage-dependent ion channels. Many of these drugs bind in the permeation pathway, occlude the pore and stop ion movement. However channel-blocking drugs have also been associated with decreased membrane stability of certain tetrameric K⁺ channels, similar to the destabilization of channel function observed at low extracellular K⁺ concentration. Such drug-dependent stability may result from electrostatic repulsion of K⁺ from the selectivity filter by a cationic drug molecule bound in the central cavity of the channel. In this study we used the pore domain of the KcsA K⁺ channel protein to test this hypothesis experimentally with a biochemical assay of tetramer stability and theoretically by computational simulation of local anesthetic docking to the central cavity. We find that two common local anesthetics, lidocaine and tetracaine, promote thermal dissociation of the KcsA tetramer in a K⁺-dependent fashion. Docking simulations of these drugs with open, open-inactivated and closed crystal structures of KcsA yield many energetically favorable drug-channel complexes characterized by nonbonded attraction to pore-lining residues and electrostatic repulsion of K⁺. The results suggest that binding of cationic drugs to the inner cavity can reduce tetramer stability of K⁺ channels.     

K+ Channels and the Intracellular Calcium Signal in Human Melanoma Cell Proliferation

K⁺ channels, membrane voltage, and intracellular free Ca²⁺ are involved in regulating proliferation in a human melanoma cell line (SK MEL 28). Using patch-clamp techniques, we found an inwardly rectifying K⁺ channel and a calcium-activated K⁺ channel. The inwardly rectifying K⁺ channel was calcium independent, insensitive to charybdotoxin, and carried the major part of the whole-cell current. The K⁺ channel blockers quinidine, tetraethylammonium chloride and Ba²⁺ and elevated extracellular K⁺ caused a dose-dependent membrane depolarization. This depolarization was correlated to an inhibition of cell proliferation. Charybdotoxin affected neither membrane voltage nor proliferation. Basic fibroblast growth factor and fetal calf serum induced a transient peak in intracellular Ca²⁺ followed by a long-lasting Ca²⁺ influx. Depolarization by voltage clamp decreased and hyperpolarization increased intracellular Ca²⁺, illustrating a transmembrane flux of Ca²⁺ following its electrochemical gradient. We conclude that K⁺ channel blockers inhibit cell-cycle progression by membrane depolarization. This in turn reduces the driving force for the influx of Ca²⁺, a messenger in the mitogenic signal cascade of human melanoma cells. Received: 9 May 1995/Revised: 30 January 1996     

Diversity of Potassium Channel Ligands: Focus on Scorpion Toxins

Potassium (K⁺) channels are a widespread superfamily of integral membrane proteins that mediate selective transport of K⁺ ions through the cell membrane. They have been found in all living organisms from bacteria to higher multicellular animals, including humans. Not surprisingly, K⁺ channels bind ligands of different nature, such as metal ions, low molecular mass compounds, venom-derived peptides, and antibodies. Functionally these substances can be K⁺ channel pore blockers or modulators. Representatives of the first group occlude the channel pore, like a cork in a bottle, while the second group of ligands alters the operation of channels without physically blocking the ion current. A rich source of K⁺ channel ligands is venom of different animals: snakes, sea anemones, cone snails, bees, spiders, and scorpions. More than a half of the known K⁺ channel ligands of polypeptide nature are scorpion toxins (KTx), all of which are pore blockers. These compounds have become an indispensable molecular tool for the study of K⁺ channel structure and function. A recent special interest is the possibility of toxin application as drugs to treat diseases involving K⁺ channels or related to their dysfunction (channelopathies).     

Recording of single K+ channels in the membrane of cytoplasmic drop ofChara australis

Summary The cytoplasmic drop formed of effused cytoplasm fromChara internodes is enclosed by a membrane. Patch clamp experiments have been carried out on this membrane, revealing a K⁺ channel as the most frequently detected ion translocator. The K⁺ channel is saturated at a level of about 20 pA inward and 10 pA outward current. The channel conductance is dependent on the accessability of K⁺ ions, its maximum value amounts to about 165 pS. The discrimination of Na⁺ and Cl^– is significant, permeability ratios P_Na/P_K and P_Cl/P_K were estimated to be 0.01 either. Binding experiments with the fluorescent probe concanavalin A/FITC suggest that the membrane is derived from the tonoplast.Abbreviations E_K K⁺ equilibrium potential - FITC fluorescein isothiocyanat - V_m membrane voltage - V_pip pipette clamp voltage - V_r reversal voltage     

Maxi K+ channels on human vas deferens epithelial cells

The vas deferens forms part of the male reproductive tract and extends from the cauda epididymis to the prostate. Using the patch clamp technique, we have identified a Ca²⁺-activated, voltage-dependent, maxi K⁺ channel on the apical membrane of epithelial cells cultured from human fetal vas deferens. The channel had a conductance of 250 pS in symmetrical 140 mm K⁺ solutions, and was highly selective for K⁺ over Na⁺. Channel activity was increased by depolarization and by an elevation of bath (cytoplasmic) Ca²⁺ concentration, and reduced by cytoplasmic Ba²⁺ (5 mm) but not by cytoplasmic TEA (10 mm). Channel activity was also dependent on the cation bathing the cytoplasmic face of the membrane, being higher in a Na⁺-rich compared to a K⁺-rich solution. We estimated that up to 600 maxi K⁺ channels were present on the apical membrane of a vas cell, and that their density was 1–2 per ² of membrane. Activity of the channel was low on intact cells, suggesting that it does not contribute to a resting K⁺ conductance. However, fluid in the lumen of the human vas deferens has a high K⁺ concentration and we speculate that the maxi K⁺ channel could play a role in transepithelial K⁺ secretion.Funded by grants from the Cystic Fibrosis Trust and the Medical Research Council (UK). We thank Mr. David Stephenson for excellent technical assistance.     

Activation of an ATP-dependent K+ conductance in Xenopus oocytes by expression of adenylate kinase cloned from renal proximal tubules

In rabbit proximal convoluted tubules, an ATP-sensitive K⁺ (K_ATP) channel has been shown to be involved in membrane cross-talk, i.e. the coupling (most likely mediated through intracellular ATP) between transepithelial Na⁺ transport and basolateral K⁺ conductance. This K⁺ conductance is inhibited by taurine. We sought to isolate this K⁺ channel by expression cloning in Xenopus oocytes. Injection of renal cortex mRNA into oocytes induced a K⁺ conductance, largely inhibited by extracellular Ba²⁺ and intracellular taurine. Using this functional test, we isolated from our proximal tubule cDNA library a unique clone, which induced a large K⁺ current which was Ba²⁺-, taurine- and glibenclamide-sensitive. Surprisingly, this clone is not a K⁺ channel but an adenylate kinase protein (AK3), known to convert NTP+AMP into NDP+ADP (N could be G, I or A). AK3 expression resulted in a large ATP decrease and activation of the whole-cell currents including a previously unknown, endogenous K⁺ current. To verify whether ATP decrease was responsible for the current activation, we demonstrated that inhibition of glycolysis greatly reduces oocyte ATP levels and increases an inwardly rectifying K⁺ current. The possible involvement of AK in the K_ATP channel’s regulation provides a means of explaining their observed activity in cytosolic environments characterized by high ATP concentrations.     

Structural basis for the decrease in the outward potassium channel current induced by lanthanum

The current of the outward K⁺ channel in the cell of horseradish treated with La³⁺ and the direct interaction between La³⁺ and the K⁺ channel protein were investigated using the whole-cell patch-clamp technique, molecular dynamics simulation, and quantum chemistry calculation methods. It was found for the first time that La³⁺ decreases the current of the K⁺ channel in the horseradish mesophyll cell. The decrease results from the formation of a coordination bond and hydrogen bond between La³⁺ and the K⁺ channel protein in the plasma membrane. The direct interaction destroys the native structure of the K⁺ channel protein, disturbing the function of the K⁺ channel protein in the cells. The results can provide the theoretical foundation for understanding the interaction between metal ions (especially high-valence metal ions) and the channel protein in organisms, including animal and plant cells.     

Patch clamp analysis of the dominant plasma membrane K+ channel in root cell protoplasts of Plantago media L. Its significance for the P and K state

Ion channels in the plasma membrane of root cell protoplasts of Plantago media L. were studied with the patch clamp technique in the cell-attached patch and outside-out patch configuration. An outward rectifying potassium channel was dominantly present in the plasma membrane. It appears responsible for the diffusional part, dominated by the K⁺ diffusion potential, of the cell membrane potential, in vivo. This channel is activated at potentials near to and more positive than the K⁺ diffusion potential. The dependence of this ion channel on K⁺ activity and voltage has been characterized. The current-voltage relationships of the open channel at various K⁺ concentrations are described by a four-state model. The membrane potential of intact protoplasts appears either dominated by the K⁺ diffusion potential, the protoplast is then said to be in the K state, or by the pump potential generated by the plasma membrane-bound proton pump/H⁺ ATPase, the P state. An experimental procedure is described to determine in cell-attached patch mode the state of the protoplast, either K or P state.Institution paper no.: ECOTRANS publication no. 45.     

Coupled Ion Movement Underlies Rectification in an Inward-Rectifier K+ Channel

We studied block of the internal pore of the ROMK1 inward-rectifier K⁺ channel by Mg²⁺ and five quaternary ammoniums (tetramethylammonium, tetraethylammonium, tetrapropylammonium, tetrabutylammonium, and tetrapentylammonium). The apparent affinity of these blockers varied as a function of membrane voltage. As a consequence, the channel conducted K⁺ current more efficiently in the inward than the outward direction; i.e., inward rectification. Although the size of some monovalent quaternary ammoniums is rather large, the zδ values (which measure voltage dependence of their binding to the pore) were near unity in symmetric 100 mM K⁺. Furthermore, we observed that not only the apparent affinities of the blockers themselves, but also their dependence on membrane voltage (or zδ), varied as a function of the concentration of extracellular K⁺. These results suggest that there is energetic coupling between the binding of blocking and permeating (K⁺) ions, and that the voltage dependence of channel blockade results, at least in part, from the movement of K⁺ ions in the electrical field. A further quantitative analysis of the results explains why the complex phenomenon of inward rectification depends on both membrane voltage and the equilibrium potential for K⁺.     

A calcium-activated potassium channel present in foetal red cells of the sheep but absent from reticulocytes and mature red cells

Red cells of adult sheep, like those of other ruminants, lack the calcium-activated potassium channel which is present in the membrane of human red cells. Since the activities of other transport systems in the sheep red cell are known to decrease during maturation of the cell or during development of the animal it was investigated whether the K⁺ channel is present in red cells from younger animals or in reticulocytes. Using the divalent cation ionophore A23187 to increase the intracellular Ca of intact cells, it was found that the K⁺-selective channel is present in foetal red cells from the foetus or newborn animal but not in reticulocytes. The presence of the channel showed no dependence on the K⁺ genotype of the sheep and was not associated with either “high K⁺”-or “low K⁺”-type Na⁺ pump. No Ca²⁺-dependent change in K⁺ permeability was found in red cells from either newborn or adult donkeys suggesting that its presence in the red cells of the foetus may not be general. The role of the K⁺ channel in the mammalian red cell and the relationship between the K⁺ channel and the Na⁺ pump are discussed.     

Stromal pH and Photosynthesis Are Affected by Electroneutral K and H Exchange through Chloroplast Envelope Ion Channels

Potassium movement across the limiting membrane of the chloroplast inner envelope is known to be linked to counterex-change of protons. For this reason, K⁺ efflux is known to facilitate stromal acidification and the resultant photosynthetic inhibition. However, the specific nature of the chloroplast envelope proteins that facilitate K⁺ fluxes, and the biophysical mechanism which links these cation currents to H⁺ counterflux, is not characterized. It was the objective of this work to elucidate the nature of the system regulating K⁺ flux linked to H⁺ counterflux across the chloroplast envelope. In the absence of external K⁺, exposure of spinach (Spinacia oleracea) chloroplasts to the K⁺ ionophore valinomycin was found to increase the rate of K⁺ efflux and H⁺ influx. These data were interpreted as suggesting that H⁺ counterexchange must be indirectly linked to movement of K⁺ across the envelope. Studies using the K⁺ channel blocker tetraethylammonium indicated that K⁺ likely moves, in a uniport fashion, into or out of the stroma through a monovalent cation channel in the envelope. Blockage of K⁺ efflux from the stroma by exposure to tetraethylammonium was found to restrict H⁺ influx, further substantiating an indirect linkage of these cation currents. Further studies comparing the effect of exogenous H⁺ ionophores and K⁺/H⁺ exchangers suggested that K⁺ uniport through this ion channel likely is the main endogenous pathway for K⁺ currents across the envelope. These experiments were also consistent with the presence of a proton channel in the envelope. Movement of H⁺ through this channel was speculated to be regulated and rate limited by an electroneutral requirement for K⁺ countercurrents through the separate K⁺ uniport pathway. K⁺ and H⁺ fluxes across the chloroplast envelope were envisioned to be interrelated via this mechanism. The significant effect of cation currents across the envelope, as mediated by these channels, on photosynthetic capacity of the isolated chloroplast was also demonstrated.     

Emerging Role of the Calcium-Activated,Small Conductance,SK3 K+ Channel in Distal Tubule Function: Regulation by TRPV4

The Ca²⁺-activated, maxi-K (BK) K⁺ channel, with low Ca²⁺-binding affinity, is expressed in the distal tubule of the nephron and contributes to flow-dependent K⁺ secretion. In the present study we demonstrate that the Ca²⁺-activated, SK3 (K_Ca2.3) K⁺ channel, with high Ca²⁺-binding affinity, is also expressed in the mouse kidney (RT-PCR, immunoblots). Immunohistochemical evaluations using tubule specific markers demonstrate significant expression of SK3 in the distal tubule and the entire collecting duct system, including the connecting tubule (CNT) and cortical collecting duct (CCD). In CNT and CCD, main sites for K⁺ secretion, the highest levels of expression were along the apical (luminal) cell membranes, including for both principal cells (PCs) and intercalated cells (ICs), posturing the channel for Ca²⁺-dependent K⁺ secretion. Fluorescent assessment of cell membrane potential in native, split-opened CCD, demonstrated that selective activation of the Ca²⁺-permeable TRPV4 channel, thereby inducing Ca²⁺ influx and elevating intracellular Ca²⁺ levels, activated both the SK3 channel and the BK channel leading to hyperpolarization of the cell membrane. The hyperpolarization response was decreased to a similar extent by either inhibition of SK3 channel with the selective SK antagonist, apamin, or by inhibition of the BK channel with the selective antagonist, iberiotoxin (IbTX). Addition of both inhibitors produced a further depolarization, indicating cooperative effects of the two channels on Vm. It is concluded that SK3 is functionally expressed in the distal nephron and collecting ducts where induction of TRPV4-mediated Ca²⁺ influx, leading to elevated intracellular Ca²⁺ levels, activates this high Ca²⁺-affinity K⁺ channel. Further, with sites of expression localized to the apical cell membrane, especially in the CNT and CCD, SK3 is poised to be a key pathway for Ca²⁺-dependent regulation of membrane potential and K⁺ secretion.     

Increased Resistance to Extracellular Cation Block by Mutation of the Pore Domain of the Arabidopsis Inward-rectifying K+ Channel KAT1

Inward-rectifying potassium channels in plant cells provide important mechanisms for low-affinity K⁺ uptake and membrane potential control in specific cell types, including guard cells, pulvinus cells, aleurone cells and root hair cells. K⁺ channel blockers are potent tools for studying the physiological functions and structural properties of K⁺ channels. In the present study the structural and biophysical mechanisms of Cs⁺ and TEA⁺ block of a cloned Arabidopsis inward-rectifying K⁺ channel (KAT1) were analyzed. Effects of the channel blockers Cs⁺ and TEA⁺ were characterized both extracellularly and intracellularly. Both external Cs⁺ and TEA⁺ block KAT1 currents. A mutant of KAT1 (``m2KAT1'; H267T, E269V) was produced by site-directed mutagenesis of two amino acid residues in the C-terminal portion of the putative pore (P) domain. This mutant channel was blocked less by external Cs⁺ and TEA⁺ than the wild-type K⁺ channel. Internal TEA⁺ and Cs⁺ did not significantly block either m2KAT1 or KAT1 channels. Other properties, such as cation selectivity, voltage-dependence and proton activation did not show large changes between m2KAT1 and KAT1, demonstrating the specificity of the introduced mutations. These data suggest that the amino acid positions mutated in the inward-rectifying K⁺ channel, KAT1, are accessible to external blockers and may be located on the external side of the membrane, as has been suggested for outward-rectifying K⁺ channels. Received: 31 July 1995/Revised: 5 January 1996     

Identification and reconstitution of a Na/K/Cl cotransporter and K channel from luminal membranes of renal red outer medulla

Electrophysiological studies on renal thick ascending limb segments indicate the involvement of a luminal Na⁺/K⁺/Cl⁻ cotransport system and a K⁺ channel in transepithelial salt transport. Sodium reabsorption across this segment is blocked by the diuretics furosemide and bumetanide. The object of our study has been to identify in intact membranes and reconstitute into phospholipid vesicles the Na⁺/K⁺/Cl⁻ cotransporter and K⁺ channel, as an essential first step towards purification of the proteins involved and characterization of their roles in the regulation of transepithelial salt transport. Measurements of ⁸⁶Rb⁺ uptake into membrane vesicles against large opposing KCl gradients greatly magnify the ratio of specific compared to non-specific isotope flux pathways. Using this sensitive procedure, it has proved possible to demonstrate in crude microsomal vesicle preparations from rabbit renal outer medulla two ⁸⁶Rb⁺ fluxes. (A) A furosemide-inhibited ⁸⁶Rb⁺ flux in the absence of Na⁺ (K⁺-K⁺ exchange). This flux is stimulated by an inward Na⁺ gradient (Na⁺/K⁺ cotransport) and is inhibited also by bumetanide. (B) A Ba²⁺-inhibited ⁸⁶Rb⁺ flux, through the K⁺ channel. Luminal membranes containing the Na⁺/K⁺/Cl⁻ cotransporter and K⁺ channels, and basolateral membranes containing the Na⁺/K⁺ pumps were separated from the bulk of contaminant protein by metrizamide density gradient centrifugation. The Na⁺/K⁺/Cl⁻ cotransporter and K⁺ channel were reconstituted in a functional state by solubilizing both luminal membranes and soybean phospholipid with octyl glucoside, and then removing detergent on a Sephadex column.     

Effect of phospholipid surface charge on the conductance and gating of a Ca2+-activated K+ channel in planar lipid bilayers

Summary A Ca-activated, K-selective channel from plasma membrane of rat skeletal muscle was studied in artificial lipid bilayers formed from either phosphatidylethanolamine (PE) or phosphatidylserine (PS). In PE, the single-channel conductance exhibited a complex dependence on symmetrical K⁺ concentration that could not be described by simple Michaelis-Menten saturation. At low K⁺ concentrations the channel conductance was higher in PS membranes, but approached the same conductance observed in PE above 0.4m KCl. At the same Ca²⁺ concentration and voltage, the probability of channel opening was significantly greater in PS than PE. The differences in the conduction and gating, observed in the two lipids, can be explained by the negative surface charge of PS compared to the neutral PE membrane. Model calculations of the expected concentrations of K⁺ and Ca²⁺ at various distances from a PS membrane surface, using Gouy-Chapman-Stern theory, suggest that the K⁺-conduction and Ca²⁺-activation sites sense a similar fraction of the surface potential, equivalent to the local electrostatic potential at a distance of 9 Å from the surface.