Ion-conformational interaction and charge transport through channels of biological membranes

This work proposes a theory of charge transport through channels in biological membranes, based on ion flow interaction with charged groups of protein macromolecules that form the channel. Displacements of the groups are due to conformational changes of the protein molecule, the relaxation times of which are much larger than the average time of ion ocurrence in the channel. Ion flow is assumed to depend on the conformational changes and vice-versa. The resulting self-organizing ion-conformational system is described by a set of nonlinear differential equations for conformational variables and average occupancy of the channel by ions. The system exhibits multistable behaviour in a certain range of control parameters (potential difference, input ion flow). The stationary states of the system may be identified with the states of discrete conductivity of the ionic channels.     

Improved 3D continuum calculations of ion flux through membrane channels

A continuum model, based on the Poisson–Nernst–Planck (PNP) theory, is applied to simulate steady-state ion flux through protein channels. The PNP equations are modified to explicitly account (1) for the desolvation of mobile ions in the membrane pore and (2) for effects related to ion sizes. The proposed algorithm for a three-dimensional self-consistent solution of PNP equations, in which final results are refined by a focusing technique, is shown to be suitable for arbitrary channel geometry and arbitrary protein charge distribution. The role of the pore shape and protein charge distribution in formation of basic electrodiffusion properties, such as channel conductivity and selectivity, as well as concentration distributions of mobile ions in the pore region, are illustrated by simulations on model channels. The influence of the ionic strength in the bulk solution and of the externally applied electric field on channel properties are also discussed.     

Early response of cultured lepidopteran cells to exposure to delta-endotoxin from Bacillus thuringiensis: involvement of calcium and anionic channels.

The role of ion channels in the initial steps following exposure of SF-9 lepidopteran insect cells in culture to the delta-endotoxin CryIC from the insecticidal bacterium Bacillus thuringiensis was investigated using single ionic channel measurements and microspectrofluorescence of the calcium-sensitive probe fura-2. It was found that: (1) the toxin triggers an immediate rise in intracellular calcium; (2) the surge is due to calcium entering the cells via calcium channels; (3) the toxin recruits or introduces anionic channels in the cell's plasma membrane in a time-dependent manner. These channels, not seen in the absence of the toxin, are induced by toxin exposure to either side of the cell membrane. They have a conductance of 26 picosiemens (pS) and are mainly permeable to chloride. This study provides the first evidence of the primary role of calcium and chloride ions in the action of delta-endotoxin on cultured insect cells.     

Conductance channels in neutral lipid bilayers

Summary A model channel for the conduction of ions (positive or negative but not both) through a lipid bilayer is presented. The transition-state theory is used to relate the current with voltage and ionic concentrations. Sites within the channel are considered to act cooperatively so that the ion is subjected to a ligand field in which it has complete freedom along the channel axis. The ions in the channel are treated as an ionic gas. Effects due to space-charges within the channel arising from the conducting ions are considered whereas surface-charge effects are neglected.The ionic specificity of the channel is indicated and the theory compared to that in which equilibrium free energy changes are the dominant influence.     

Ionic currents of channels that are permeable to monovalent and divalent cations.

The cation-selective channel from Tetrahymena cilia is permeable to both monovalent and divalent cations. The single channel conductance in mixed solutions of K+ and Ca2+ was determined by the Gibbs-Donnan ratio of K+ and Ca2+, and the binding sites of this channel were considered to be always occupied by two potassium ions or by one calcium ion under the experimental conditions: 5-90 mM K+ and 0.5-35 mM Ca2+ (Oosawa and Kasai, 1988). A two-barrier model for the channel was introduced and the values of Michaelis-Menten constants and maximum currents carried by K+ and Ca2+ were calculated using this model. Single channel current amplitudes and reversal potentials were calculated from these values. The calculated single-channel currents were compared with those obtained experimentally. The calculated reversal potentials were compared with the resting potentials of Tetrahymena measured in various concentrations of extracellular K+ and Ca2+. The method of calculation of ionic currents and reversal potentials presented here is helpful for understanding the properties of the channels permeable to both monovalent and divalent cations.     

The influence of surface charges on quaternary ammonium block of shaker K+ channels

Block of K⁺ channels can be influenced by the ability of charged residues on the protein surface to accumulate cationic blocking ions to concentrations greater than those in bulk solution. We examined the ionic strength dependence of extracellular block of Shaker K⁺ channels by tetraethylammonium ions (TEA⁺) and by a trivalent quaternary ammonium ion, gallamine³⁺. Wild-type and mutant channels were expressed in Xenopus oocytes and currents recorded with the cut-open oocyte technique. Channel block by both compounds was substantially increased when the bathing electrolyte ionic strength was lowered, but with a much larger effect for trivalent gallamine. These data were quantitatively well described by a simple electrostatic model, accounting for accumulation of blocking ions near the pore of the channel by surface charges. The surface charge density of the wild-type channel consistent with the results was −0.1 e nm⁻². Shaker channels with T449Y mutations have an increased affinity for both TEA and gallamine but the ionic strength dependence of block was described with the same surface charge density as wild-type channels. Much of the increased sensitivity of Shaker K⁺ channels to gallamine may be due to a larger local accumulation of the trivalent ion. The negative charge at position 431 contributes to the sensitivity of channels to TEA (MacKinnon & Yellen, 1990). A charge reversal mutation at this location had little effect on the ionic strength dependence of quaternary ammonium ion block, suggesting that the charge on this amino acid may directly affect binding affinity but not local ion accumulation. Received: 7 December 2000/Revised: 27 April 2001     

Mechanism of blockage of amphotericin B channels in a lipid bilayer.

A number of organic compounds (non-electrolytes, tetraalkylammonia, etc.) with a molecular size of 6--8 angstrom decrease the conductance of ionic channels formed in the lipid bilayer by a polyene antibiotic amphotericin B. It is suggested that these compounds, upon entering the channel, block the passage of inorganic ions. The extent of conductance blockage by organic ions depends on the membrane potential and electrolyte concentration. In the presence of ionic blockers, for instance tetraethylammonium, amphotericin B-containing membranes assume some properties characteristic of excitable membranes, i.e. the current-voltage characteristic acquires the negative resistance region, and in response to a potential step activation followed by inactivation of conductance is observed. It is shown that the potential dependence of the blockage is due to interaction inside the channel of the blocker ion with penetrating ions, by a mechanism similar to that described by Armstrong ((1979) Q. Rev. Biophys. 7, 179--210) for blockage of squid axon potassium channels by ammonium derivatives.     

Ion channels: does each subunit do something on its own?

The advent of the patch-clamp technique 25 years ago revolutionized the study of ion channels. This method also made it possible to measure the kinetic behavior of single protein molecules. The low-noise recordings of ionic currents through single channels, coupled with other cutting-edge technologies, have revealed a rich complexity of functional states that are not readily explained by simple allosteric protein models such as the popular concerted model and the sequential model. Although these models can each account for elements of ion channel function, we propose that variations or extensions of the lesser-known general allosteric model provide a more promising framework for explaining the intricate behaviors of ion channels.     

Why is gramicidin valence selective? A theoretical study.

Calculations contrasting the channel solvation energy for cesium ions and chloride ions associated with water in gramicidin-like channels are presented. The energy profile for the cation exhibits a deep well at the channel entrance; within the single file region the solvation energy is roughly constant. The anion exhibits a totally different energy profile. There is an energy barrier at the channel entrance; if the ion could surmount this barrier, it would be quite stable within the channel. At the channel entrance, the calculated solvation energy difference between anion and cation is approximately 15 kcal mol-1. This is completely consistent with the observation that chloride neither permeates nor blocks the channel since the estimated rate of ion entry would be approximately 0.01-10(-5) s-1, far slower than the rate at which the channel dimer dissociates into monomers.     

Modulation of the gating of unitary cardiac L-type Ca(2+) channels by conditioning voltage and divalent ions

Although a considerable number of studies have characterized inactivation and facilitation of macroscopic L-type Ca(2+) channel currents, the single channel properties underlying these important regulatory processes have only rarely been examined using Ca(2+) ions. We have compared unitary L-type Ca(2+) channel currents recorded with a low concentration of Ca(2+) ions with those recorded with Ba(2+) ions to elucidate the ionic dependence of the mechanisms responsible for the prepulse-dependent modulation of Ca(2+) channel gating kinetics. Conditioning prepulses were applied across a wide range of voltages to examine their effects on the subsequent Ca(2+) channel activity, recorded at a constant test potential. All recordings were made in the absence of any Ca(2+) channel agonists. Moderate-depolarizing prepulses resulted in a decrease in the probability of opening of the Ca(2+) channels during subsequent test voltage steps (inactivation), the extent of which was more dramatic with Ca(2+) ions than Ba(2+) ions. Facilitation, or increase of the average probability of opening with strong predepolarization, was due to long-duration mode 2 openings with Ca(2+) ions and Ba(2+) ions, despite a decrease in Ca(2+) channel availability (inactivation) under these conditions. The degree of both prepulse-induced inactivation and facilitation decreased with increasing Ba(2+) ion concentration. The time constants (and their proportions) describing the distributions of Ca(2+) channel open times (which reflect mode switching) were also prepulse-, and ion-dependent. These results support the hypothesis that both prior depolarization and the nature and concentration of permeant ions modulate the gating properties of cardiac L-type Ca(2+) channels.     

Cystic fibrosis affects chloride and sodium channels in human airway epithelia

Abnormalities of epithelial function in cystic fibrosis (CF) have been linked to defects in cell membrane permeability to chloride or sodium ions. Recently, a class of chloride channels in airway epithelial cells have been reported to lack their usual sensitivity to phosphorylation via cAMP-dependent protein kinase, suggesting that CF could be due to a single genetic defect in these channels. We have examined single chloride and sodium channels in control and CF human nasal epithelia using the patch-clamp technique. The most common chloride channel was not the one previously associated with CF, but it was also abnormal in CF cells. In addition, the number of sodium channels was unusually high in CF. These findings suggest a wider disturbance of ion channel properties in CF than would be produced by a defect in a single type of channel.     

Study of ionic currents across a model membrane channel using Brownian dynamics.

Brownian dynamics simulations have been carried out to study ionic currents flowing across a model membrane channel under various conditions. The model channel we use has a cylindrical transmembrane segment that is joined to a catenary vestibule at each side. Two cylindrical reservoirs connected to the channel contain a fixed number of sodium and chloride ions. Under a driving force of 100 mV, the channel is virtually impermeable to sodium ions, owing to the repulsive dielectric force presented to ions by the vestibular wall. When two rings of dipoles, with their negative poles facing the pore lumen, are placed just above and below the constricted channel segment, sodium ions cross the channel. The conductance increases with increasing dipole strength and reaches its maximum rapidly; a further increase in dipole strength does not increase the channel conductance further. When only those ions that acquire a kinetic energy large enough to surmount a barrier are allowed to enter the narrow transmembrane segment, the channel conductance decreases monotonically with the barrier height. This barrier represents those interactions between an ion, water molecules, and the protein wall in the transmembrane segment that are not treated explicitly in the simulation. The conductance obtained from simulations closely matches that obtained from ACh channels when a step potential barrier of 2-3 kTr is placed at the channel neck. The current-voltage relationship obtained with symmetrical solutions is ohmic in the absence of a barrier. The current-voltage curve becomes nonlinear when the 3 kTr barrier is in place. With asymmetrical solutions, the relationship approximates the Goldman equation, with the reversal potential close to that predicted by the Nernst equation. The conductance first increases linearly with concentration and then begins to rise at a slower rate with higher ionic concentration. We discuss the implications of these findings for the transport of ions across the membrane and the structure of ion channels.     

Trimethyloxonium modification of batrachotoxin-activated Na channels alters functionally important protein residues.

The extracellular side of single batrachotoxin-activated voltage-dependent Na channels isolated from rat skeletal muscle membranes incorporated into neutral planar lipid bilayers were treated in situ with the carboxyl methylating reagent, trimethyloxonium (TMO). These experiments were designed to determine whether TMO alters Na channel function by a general through-space electrostatic mechanism or by methylating specific carboxyl groups essential to channel function. TMO modification reduced single-channel conductance by decreasing the maximal turnover rate. Modification increased channel selectivity for sodium ions relative to potassium ions as measured under biionic conditions. TMO modification increased the mu-conotoxin (muCTX) off-rate by three orders of magnitude. Modification did not alter the muCTX on-rate at low ionic strength or Na channel voltage-dependent gating characteristics. These data demonstrate that TMO does not act via a general electrostatic mechanism. Instead, TMO targets protein residues specifically involved in ion conduction, ion selectivity, and muCTX binding. These data support the hypothesis that muCTX blocks open-channel current by physically obstructing the ion channel pore.     

Contributions of a negatively charged residue in the hydrophobic domain of the IRK1 inwardly rectifying K+ channel to K(+)-selective permeation.

Inwardly rectifying K+ channels are highly selective for K+ ions and show strong interaction with ions in the pore. Both features are important for the physiological functions of these channels and pose intriguing mechanistic questions of ion permeation. The aspartate residue in the second putative transmembrane segment of the IRK1 inwardly rectifying K+ channel, previously implicated in inward rectification gating due to cytoplasmic Mg2+ and polyamine block, is found in this study to be crucial for the channel's ability to distinguish between K+ and Rb+ ions. Mutation of this residue also perturbs the interaction between the channel pore and the Sr2+ blocking ion. Our studies suggest that this aspartate residue contributes to a selectivity filter near the cytoplasmic end of the pore.     

Influence of permeant ions on gating in cyclic nucleotide-gated channels

Cyclic nucleotide-gated channels are key components in the transduction of visual and olfactory signals where their role is to respond to changes in the intracellular concentration of cyclic nucleotides. Although these channels poorly select between physiologically relevant monovalent cations, the gating by cyclic nucleotide is different in the presence of Na(+) or K(+) ions. This property was investigated using rod cyclic nucleotide-gated channels formed by expressing the subunit 1 (or alpha) in HEK293 cells. In the presence of K(+) as the permeant ion, the affinity for cGMP is higher than the affinity measured in the presence of Na(+). At the single channel level, subsaturating concentrations of cGMP show that the main effect of the permeant K(+) ions is to prolong the time channels remain open without major changes in the shut time distribution. In addition, the maximal open probability was higher when K(+) was the permeant ion (0.99 for K(+) vs. 0.95 for Na(+)) due to an increase in the apparent mean open time. Similarly, in the presence of saturating concentrations of cAMP, known to bind but unable to efficiently open the channel, permeant K(+) ions also prolong the time channels visit the open state. Together, these results suggest that permeant ions alter the stability of the open conformation by influencing of the O-->C transition.     

Unidirectional K+ fluxes through recombinant Shaker potassium channels expressed in single Xenopus oocytes

We describe a method to evaluate the ratio of ionic fluxes through recombinant channels expressed in a single Xenopus oocyte. A potassium channel encoded by the Drosophila Shaker gene tested by this method exhibited flux ratios far from those expected for independent ion movement. At a fixed extracellular concentration of 25 mM K+, this channel showed single-file diffusion with an Ussing flux-ratio exponent, n', of 3.4 at a membrane potential of -30 mV. There was an apparent, small voltage dependence of this parameter with n' values of 2.4 at -15 and -5 mV. These results indicate that the pore in these channels can simultaneously accommodate at least four K+ ions. If each of these K+ ions is in contact with two water molecules, the minimum length of the pore is 24 A.     

An electrostatic model of a membrane ion pump

The model is based upon an ion channel with an electric dipolar structure. With simplifying assumptions it is possible to calculate that a typical channel, 1 nm in diameter and 5 nm long, could contain at most two or three univalent cations at a time. The channel ion binding sites have an effective affinity for ions from the fluid bathing the negative end of the channel, several orders of magnitude higher than their affinity for ions from the fluid bathing the positive end of the channel. The approach of an external, positively charged body to the negative end of the channel, is sufficient to convert the two- or three-channel ion sites with high affinity for ions from the fluid bathing this end into very low affinity sites for the same ions that now have access only to the fluid bathing the other end of the channel. The change in affinity and fluid access requires no molecular or electrical change in the channel structure other than the passive superposition of the electrostatic potential of the dipolar channel and that of the charged body. An oscillating electric field externally applied to an electric dipolar channel is shown to result in the unidirectional pumping of cations in the direction of the channel dipole even against large adverse ion concentration gradients. The energy required must be supplied by the sources of the electric field. By using two such channels in close proximity, one selective for K+ ions with its dipole moment pointing into a cell and the other selective for Na+ ions with its dipole moment pointing out from the cell, it is possible to construct a model pump with calculated properties that simulate many of those measured for Na+-K+-ATPase, with both physiological and artificial ionic concentrations.     

Properties of amphotericin B channels in a lipid bilayer

Properties of individual ionic channels formed by polyene antibiotic Amphotericin B were studied on brain phospholipid membranes containing cholesterol. The ionic channels have a closed state and an open one (with conductance of about 6.5 pS in 2 M KCl). The conductance value of an open channel is independent of cholesterol concentration in the membrane and of pH in the range from 3.5 to 8.0. The voltage-current characteristics of a single channel are superlinear. Zero current potential value in the case of different KCl concentrations in the two solutions indicates preferential but not ideal anionic selectivity of a single channel. Channel conductivity grows as the electrolyte concentration is increased and tends to a limiting value at high concentrations. A simple model having only one site for an ion was shown to represent satisfactorily an open channel behaviour under different conditions. An individual ionic channel performs a large number of transitions between the open and closed states during its life-time of several minutes. Rate constants of these transitions depend on the kind and concentration of salt in aqueous solutions. The switching system functioning is not influenced by an ion situated inside the pore.     

How does vestibule surface charge affect ion conduction and toxin binding in a sodium channel?

We describe various models for the dielectric geometry and pore mouth charge distribution of a Na channel. The electric potential due to the vestibule charges is then computed on the basis of the nonlinear Possion-Boltzmann equation. The results are used to account for the effect of permeant ion concentration and ionic strength on channel conductance and on toxin association rate constants for Na channels. We find that a single negatively charged group near the entrance to the channel constriction is adequate to account for deviations from Michaelis-Menten conductance kinetics and for the concentration dependence of toxin-binding coefficients. We find further that only a limited range of vestibule geometries and pore mouth charge distributions are consistent with experiment.     

Bead-like passage of chloride ions through ClC chloride channels

The ClC chloride channels control the ionic composition of the cytoplasm and the volume of cells, and regulate electrical excitability. Recently, it has been proposed that prokaryotic ClC channels are H+-Cl- exchange transporter. Although X-ray and molecular dynamics (MD) studies of bacterial ClC channels have investigated the filter open-close and ion permeation mechanism of channels, details have remained unclear. We performed MD simulations of ClC channels involving H+, Na+, K+, or H3O+ in the intracellular region to elucidate the open-close mechanism, and to clarify the role of H+ ion an H+-Cl- exchange transporter. Our simulations revealed that H+ and Na+ caused channel opening and the passage of Cl- ions. Na+ induced a bead-like string of Cl- -Na+-Cl--Na+-Cl- ions to form and permeate through ClC channels to the intracellular side with the widening of the channel pathway.