Mathematical model of the interaction of cations and anions in a channel

A mathematical model of the ionic channel permeable both to anions and cations is considered. The model takes into account the electrostatic interaction between oppositely charged ions and does not suppose single-file movement. An equation for zero-current potential is derived, which leads to the Goldman equation in the limit of low ion concentrations. The model is used to describe concentration relationships of zero-current potentials on a lipid bilayer with amphotericin B channels which cannot be described on the basis of the independence principle.     

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.     

Electric potential at the entrance of the amphotericin channel. Channel specificity

The electric potential at the entrance of the amphotericin channel was varied by changing the membrane surface charge, modifying the charged groups of amphotericin molecule or adding of MgSO4. It has been shown that the zero current potential and channel selectivity depend on the potential at the entrance of the channel. It has been found that anion and cation current through amphotericin channel are coupled. Possible usage of CMF for studying radical stages in catalytic Fe2+-oxidation of liposomes heterogeneous processes has been shown.     

Mechanism of anion-cation selectivity of amphotericin B channels

Summary Zero current potential and conductance of ionic channels formed by polyene antibiotic amphotericin B in a lipid bilayer were studied in various electrolyte solutions. Nonpermeant magnesium and sulphate ions were used to independently vary the concentration of monovalent anions and cations as well as to maintain the high ionic strength of the two solutions separated by the membrane. Under certain conditions the channels select very strongly for anions over cations. They are permeable to small inorganic anions. However, in the absence of these anions the channels are practically impermeable to any cation. In the presence of a permeant anion the contribution of monovalent cations to channel conductance grows with an increase in the anion concentration. The ratio of cation-to-anion permeability coefficients is independent of the membrane potential and cation concentration, but it does depend linearly on the sum of concentrations of a permeant anion in the two solutions. These results are accounted for on the assumption that a cation can enter only an anion-occupied channel to form an ionic pair at the center of the channel. The cation is also assumed to slip past the anion and then to leave the channel for the opposite solution. This model with only few parameters can quantitatively describe the concentration dependences of conductance and zero current potential under various conditions.     

Probing an open CFTR pore with organic anion blockers

The cystic fibrosis transmembrane conductance regulator (CFTR) is an ion channel that conducts Cl- current. We explored the CFTR pore by studying voltage-dependent blockade of the channel by two organic anions: glibenclamide and isethionate. To simplify the kinetic analysis, a CFTR mutant, K1250A-CFTR, was used because this mutant channel, once opened, can remain open for minutes. Dose-response relationships of both blockers follow a simple Michaelis-Menten function with K(d) values that differ by three orders of magnitude. Glibenclamide blocks CFTR from the intracellular side of the membrane with slow kinetics. Both the on and off rates of glibenclamide block are voltage dependent. Removing external Cl- increases affinity of glibenclamide due to a decrease of the off rate and an increase of the on rate, suggesting the presence of a Cl- binding site external to the glibenclamide binding site. Isethionate blocks the channel from the cytoplasmic side with fast kinetics, but has no measurable effect when applied extracellularly. Increasing the internal Cl- concentration reduces isethionate block without affecting its voltage dependence, suggesting that Cl- and isethionate compete for a binding site in the pore. The voltage dependence and external Cl- concentration dependence of isethionate block are nearly identical to those of glibenclamide block, suggesting that these two blockers may bind to a common binding site, an idea further supported by kinetic studies of blocking with glibenclamide/isethionate mixtures. By comparing the physical and chemical natures of these two blockers, we propose that CFTR channel has an asymmetric pore with a wide internal entrance and a deeply embedded blocker binding site where local charges as well as hydrophobic components determine the affinity of the blockers.     

How do ionic channel properties depend on the structure of polyene antibiotic molecules?

A study has been made of the properties of ionic channels formed in phospholipid-cholesterol bilayers by polyene antibiotics of various molecular structures. Properties of channels created by natural antibiotics with different structures of the lactone ring (amphotericin B-nystatin-mycoheptin) as well as by some derivatives of amphotericin B modified with respect to the amino and carboxyl groups are compared. Neutralization of one or both charges of the amphotericin B molecule (both by chemical modification and by pH shift) increases the probability of the channel to be in a nonconducting state. An increase of cholesterol concentration in the membrane produces an opposite effect. It is assumed that the electrostatic interaction of the amino group of an antibiotic molecule with the carboxyl group of an adjacent one stabilized the channel. Conductance and selectivity of an open channel are not influenced by changes in the charged groups. These properties strongly depend on the structure of the polar chain of the lactone ring. For example, the appearance of one more carbonyl group in the mycoheptin molecule results in a sharply decreasing anion permeability of channels. An antibiotic concentration which is necessary to observe single channels depends on the polyene chain structure: this is about 10(-7) M for tetraene nystatin and 2.10(-8) M for heptaene amphotericin B an mycoheptin.     

BmP09, a "long chain" scorpion peptide blocker of BK channels

A novel "long chain" toxin BmP09 has been purified and characterized from the venom of the Chinese scorpion Buthus martensi Karsch. The toxin BmP09 is composed of 66 amino acid residues, including eight cysteines, with a mass of 7721.0 Da. Compared with the B. martensi Karsch AS-1 as a Na(+) channel blocker (7704.8 Da), the BmP09 has an exclusive difference in sequence by an oxidative modification at the C terminus. The sulfoxide Met-66 at the C terminus brought the peptide a dramatic switch from a Na(+) channel blocker toaK(+) channel blocker. Upon probing the targets of the toxin BmP09 on the isolated mouse adrenal medulla chromaffin cells, where a variety of ion channels coexists, we found that the toxin BmP09 specifically blocked large conductance Ca(2+)- and voltage-dependent K(+) channels (BK) but not Na(+) channels at a range of 100 nm concentration. This was further confirmed by blocking directly the BK channels encoded with mSlo1 alpha-subunits in Xenopus oocytes. The half-maximum concentration EC(50) of BmP09 was 27 nm, and the Hill coefficient was 1.8. In outside-out patches, the 100 nm BmP09 reduced approximately 70% currents of BK channels without affecting the single-channel conductance. In comparison with the "short chain" scorpion peptide toxins such as Charybdotoxin, the toxin BmP09 behaves much better in specificity and reversibility, and thus it will be a more efficient tool for studying BK channels. A three-dimensional simulation between a BmP09 toxin and an mSlo channel shows that the Lys-41 in BmP09 lies at the center of the interface and plugs into the entrance of the channel pore. The stable binding between the toxin BmP09 and the BK channel is favored by aromatic pi -pi interactions around the center.     

How pore mouth charge distributions alter the permeability of transmembrane ionic channels.

This paper investigates the effects that surface dipole layers and surface charge layers along the pore mouth-water interface can have on the electrical properties of a transmembrane channel. Three specific molecular sources are considered: dipole layers formed by membrane phospholipids, dipole layers lining the mouth of a channel-forming protein, and charged groups in the mouth of a channel-forming protein. We find, consistent with previous work, that changing the lipid-water potential difference only influences channel conduction if the rate-limiting step takes place well inside the channel constriction. We find that either mouth dipoles or mouth charges can act as powerful ion attractors increasing either cation or anion concentration near the channel entrance to many times its bulk value, especially at low ionic strengths. The effects are sufficient to reconcile the apparently contradictory properties of high selectivity and high conductivity, observed for a number of K+ channel systems. We find that localizing the electrical sources closer to the constriction entrance substantially increases their effectiveness as ion attractors; this phenomenon is especially marked for dipolar distributions. An approximate treatment of electrolyte shielding is used to discriminate between the various mechanisms for increasing ionic concentration near the constriction entrance. Dipolar potentials are far less sensitive to ionic strength variation than potentials due to fixed charges. We suggest that the K+ channel from sarcoplasmic reticulum does not have a fixed negative charge near the constriction entrance; we suggest further that the Ca+2-activated K+ channel from transverse tubule does have such a charge.     

Antibodies affect the ionic conductance of channels formed by amphotericin B in a lipid bilayer

For the first time poly- and monoclonal antibodies (class IgM) against the polyene antibiotic amphotericin B were obtained affecting the properties of a channel formed by the antibiotic and cholesterol in a lipid bilayer when amphotericin B was added to the solution at one (cis) side of the membrane. In the case of the symmetric distribution of cholesterol in the lipid bilayer, three molecules of monoclonal antibodies bind firmly to the channel at the trans-side of the membrane, thus strongly increasing the mean lifetime of the channel in the open state, and not changing practically the ion conductance of its open state. The antibodies did not alter the properties of these channels when added at the cis-side of the membrane as well as of the channels formed in the lipid bilayer when amphotericin B was added at both membrane sides. The antibodies obtained did not affect the conductance of channels in which amphotericin B and cholesterol were replaced with their analogs levorin and 5 alpha-androstan-3 beta-one, which points to a high specificity of the immunoglobulins isolated. When cholesterol was present only in the cis-monolayer of the lipid bilayer and was absent in the trans-monolayer, the same monoclonal antibodies when added at the trans-side of the membrane blocked the conductance of the channel formed by adding the antibiotic to the solution at the cis-side of the bilayer. The obtained evidence is of interest in elucidating the general features of interaction of antibodies with the ionic channels of cellular and model membranes.     

Large-conductance cholesterol-amphotericin B channels in reconstituted lipid bilayers

The antimycotic activity of amphotericin B (AmB) depends on its ability to make complexes sterols to form ion channels that cause membrane leakage. To study this phenomenon, surface pressure (pi) as a function of surface area (A) and pi-A hysteresis were measured in monolayers of AmB-cholesterol mixtures on the water-air interface. The most stable monolayers were produced from molecules of AmB and cholesterol with 2:1 stoichiometry. At this ratio, AmB and cholesterol interact to form ion channels in lipid bilayers with millisecond dwell times and conductances of 4-400 pS. The AmB-cholesterol complexes assemble in three, four, etc., subunit aggregates to form ion channels of diverse and large-conductances. Their I-V characteristics were linear over a range of +/-200 mV. The channel currents were inhibited by the addition of tetraethylammonium (TEA), potassium channel blocker, to the cis-side of the membrane. Likewise, AmB-cholesterol complexes reconstituted in membrane-coated nanoporous silicon dioxide surfaces showed single channel behavior with large amplitudes at various voltages. Large-conductance ion channels show great promise for use in biosensors on solid supports.     

Interaction of internal anions with potassium channels of the squid giant axon

The interaction of internal anions with the delayed rectifier potassium channel was studied in perfused squid axons. Changing the internal potassium salt from K+ glutamate- to KF produced a reversible decline of outward K currents and a marked slowing of the activation of K channels at all voltages. Fluoride ions exert a differential effect upon K channel gating kinetics whereby activation of IK during depolarizing steps is slowed dramatically, but the rate of closing after the step is not much altered. These effects develop with a slow time course (30-60 min) and are specific for K channels over Na channels. Both the amplitude and activation rate of IK were restored within seconds upon return to internal glutamate solutions. The fluoride effect is independent of the external K+ concentration and test membrane potential, and does not recover with repetitive application of depolarizing voltage steps. Of 11 different anions tested, all inorganic species induced similar decreases and slowing of IK, while K currents were maintained during extended perfusion with several organic anions. Anions do not alter the reversal potential or shape of the instantaneous current-voltage relation of open K channels. The effect of prolonged exposure to internal fluoride could be partially reversed by the addition of cationic K channel blocking agents such as TEA+, 4-AP+, and Cs+. The competitive antagonism between inorganic anions and internal cationic K channel blockers suggests that they may interact at a related site(s). These results indicate that inorganic anions modify part of the K channel gating mechanism (activation) at a locus near the inner channel surface.     

Probing amphotericin B single channel activity by membrane dipole modifiers

The effects of dipole modifiers and their structural analogs on the single channel activity of amphotericin B in sterol-containing planar phosphocholine membranes are studied. It is shown that the addition of phloretin in solutions bathing membranes containing cholesterol or ergosterol decreases the conductance of single amphotericin B channels. Quercetin decreases the channel conductance in cholesterol-containing bilayers while it does not affect the channel conductance in ergosterol-containing membranes. It is demonstrated that the insertion of styryl dyes, such as RH 421, RH 237 or RH 160, in bilayers with either cholesterol or ergosterol leads to the increase of the current amplitude of amphotericin B pores. Introduction of 5α-androstan-3β-ol into a membrane-forming solution increases the amphotericin B channel conductance in a concentration-dependent manner. All the effects are likely to be attributed to the influence of the membrane dipole potential on the conductance of single amphotericin B channels. However, specific interactions of some dipole modifiers with polyene-sterol complexes might also contribute to the activity of single amphotericin B pores. It has been shown that the channel dwell time increases with increasing sterol concentration, and it is higher for cholesterol-containing membranes than for bilayers including ergosterol, 6-ketocholestanol, 7-ketocholestanol or 5α-androstan-3β-ol. These findings suggest that the processes of association/dissociation of channel forming molecules depend on the membrane fluidity.     

二性霉素B与β-escin混合穿孔电极液在人心房肌细胞SK2电流记录中的应用

目的:为研究钙离子对人心房肌细胞小电导钙激活钾通道电流(ISK2)的调节作用,建立用二性霉素B(amphotericin B)与β-escin穿孔的膜片钳(PPR)技术。方法:体外循环术中取得右心耳,应用急性酶分离获得单个人体心房肌细胞,用二性霉素B和/或β-escin作为穿孔电极液,进行穿孔膜片钳实验,在此模式下测试钙离子对人心房肌细胞SK2电流的调控作用,并用胞内钙测试系统验证穿孔前后胞内钙变化。结果:混合使用穿孔电极液6.88μg/mlβ-escin和150μg/ml二性霉素B与单独用150μg/ml二性霉素B或6.88μg/mlβ-escin相比,前一种方法细胞容易封接,能形成稳定的穿孔膜片钳记录模式,可观察到SK2电流有激活,且胞内钙测试系统检测时可观察到穿孔后电极液至细胞内的游离钙离子浓度的增加,F340/380增强。结论:适当浓度的二性霉素B与β-escin混合使用进行穿孔膜片钳实验是一种稳定的全细胞膜片的记录技术,可以用于胞内游离钙离子对SK2电流调控的研究。     

A molecular level prototype for mechanoelectrical transducer in mammalian hair cells

The mechanoelectrical transducer (MET) is a crucial component of mammalian auditory system. The gating mechanism of the MET channel remains a puzzling issue, though there are many speculations, due to the lack of essential molecular building blocks. To understand the working principle of mammalian MET, we propose a molecular level prototype which constitutes a charged blocker, a realistic ion channel and its surrounding membrane. To validate the proposed prototype, we make use of a well-established ion channel theory, the Poisson–Nernst–Planck equations, for three-dimensional (3D) numerical simulations. A wide variety of model parameters, including bulk ion concentration, applied external voltage, blocker charge and blocker displacement, are explored to understand the basic function of the proposed MET prototype. We show that our prototype prediction of channel open probability in response to blocker relative displacement is in remarkable accordance with experimental observation of rat cochlea outer hair cells. Our results appear to suggest that tip links which connect hair bundles gate MET channels.     

Roflamycoin--a new channel-forming antibiotic

Ion permeability of lipid bilayers was studied in the presence of a new antifungal pentaene antibiotic, roflamycoin, the structure of which differs considerably from that of the well-known polyene channel-former amphotericin B. Both of them, however, show the property of increasing the membrane permeability only in the case of sterol-containing membrane when added on both its sides. The conductance is strongly dependent on the concentration of the antibiotic in the solutions and of sterol in the membrane. Unlike the amphotericin B channels, roflamycoin channels are potential-dependent and have short lifetime (approx. 1 s) and high conductance (approx. 100 ps in 1 M KCl), which increases linearly with the salt concentration and is not blocked by the familiar blockers of amphotericin B channels. The two antibiotics seem to have a common mechanism of channel formation, viz. the formation starts from two semi-pores assembled in the opposite monolayers from several molecules of the antibiotic and sterol. However, the inner diameter of the roflamycoin channel is larger because of the different antibiotic-to-sterol ratio in the channel aggregate. It is believed that the difference in the ratio is due to the presence of the methyl group in the polyene chain of roflamycoin, and the considerable difference in lifetimes of the two types of channels depends on the terminal groups of the antibiotics.     

Roflamycoin — a new channel-forming antibiotic

Ion permeability of lipid bilayers was studied in the presence of a new antifungal pentaene antibiotic, roflamycoin, the structure of which differs of which differs considerably from that of the well-known polyene channel-former amphotericin B. Both of them, however, show the property of increasing the membrane permeability only in the case of sterol-containing membrane when added on both its sides. The conductance is strongly dependent on the concentration of the antibiotic in the solutions and of sterol in the membrane. Unlike the amphotericin B channels, roflamycoin channels are potential-dependent and have short lifetime (approx. 1 s) and high conductance (approx. 100 ps in 1 M KCl), which increases linearly with the salt concentration and is not blocked by the familiar blockers of amphotericin B channels. The two antibiotics seem to have a common mechanism of channel formation, viz. the formation starts from two semi-pores assembled in the opposite monolayers from several molecules of the antibiotic and sterol. However, the inner diameter of the roflamycoin channel is larger because of the different antibiotic-to-sterol ratio in the channel aggregate. It is believed that the difference in the ratio is due to the presence of the methyl group in the polyene chain of roflamycoin, and the considerable difference in lifetimes of the two types of channels depends on the terminal groups of the antibiotics.     

Biologically active amphotericin B-calix[4]arene conjugates

In order to provide tools for investigations of amphotericin B ion channels, new conjugates bearing a calix[4]arene scaffold covalently linked to four amphotericin B molecules were synthesized. These macromolecules adopt a cone conformation that mimics the structure of a transmembrane pore. The antifungal activity of the conjugates 3 and 4 was superior or similar to that of native amphotericin B, with minimal inhibitory concentration values of 0.10 and 0.25 microM, respectively. Furthermore, the hemotoxicity of the new conjugates was considerably lower (at least 10 times) than the hemotoxicity of monomeric amphotericin B. Finally, the formation of ion channels in the lipid bilayer by the amphotericin B tetramer was monitored by measuring the K+ efflux from various liposomes.     

On the mechanism of TBA block of the TRPV1 channel

The transient receptor potential vanilloid 1 (TRPV1) channel is a nonselective cation channel activated by capsaicin and responsible for thermosensation. To date, little is known about the gating characteristics of these channels. Here we used tetrabutylammonium (TBA) to determine whether this molecule behaves as an ion conduction blocker in TRPV1 channels and to gain insight into the nature of the activation gate of this protein. TBA belongs to a family of classic potassium channel blockers that have been widely used as tools for determining the localization of the activation gate and the properties of the pore of several ion channels. We found TBA to be a voltage-dependent pore blocker and that the properties of block are consistent with an open-state blocker, with the TBA molecule binding to multiple open states, each with different blocker affinities. Kinetics of channel closure and burst-length analysis in the presence of blocker are consistent with a state-dependent blocking mechanism, with TBA interfering with closing of an activation gate. This activation gate may be located cytoplasmically with respect to the binding site of TBA ions, similar to what has been observed in potassium channels. We propose an allosteric model for TRPV1 activation and block by TBA, which explains our experimental data.     

Amphotericin B channels in the bacterial membrane: role of sterol and temperature

Amphotericin B is an antibiotic that forms ion channels in the membrane of a host cell. The change in permeability produced by these channels is greatly improved by sterols; nevertheless, the single channel conductivity remains invariant. Hence, it is proposed that sterols do not act directly, but rather through the modulation of the membrane phase. We look at the formation of these channels in the bacterial membrane to determine the mechanism of its known antibiotic resistance. We found that channels can indeed be formed in this membrane, but a substantial amount of amphotericin B is required. We also study the effects of the antibiotic concentration needed for channel expression as well as the dynamics of channels affected by both sterol and temperature in phosphatidylcholine membranes. The results support the idea that membrane structure is a determining factor in the action of the antibiotic.     

A novel hypothesis for the binding mode of HERG channel blockers

We present a new docking model for HERG channel blockade. Our new model suggests three key interactions such that (1) a protonated nitrogen of the channel blocker forms a hydrogen bond with the carbonyl oxygen of HERG residue T623; (2) an aromatic moiety of the channel blocker makes a pi-pi interaction with the aromatic ring of HERG residue Y652; and (3) a hydrophobic group of the channel blocker forms a hydrophobic interaction with the benzene ring of HERG residue F656. The previous model assumes two interactions such that (1) a protonated nitrogen of the channel blocker forms a cation-pi interaction with the aromatic ring of HERG residue Y652; and (2) a hydrophobic group of the channel blocker forms a hydrophobic interaction with the benzene ring of HERG residue F656. To test these models, we classified 69 known HERG channel blockers into eight binding types based on their plausible binding modes, and further categorized them into two groups based on the number of interactions our model would predict with the HERG channel (two or three). We then compared the pIC(50) value distributions between these two groups. If the old hypothesis is correct, the distributions should not differ between the two groups (i.e., both groups show only two binding interactions). If our novel hypothesis is correct, the distributions should differ between Groups 1 and 2. Consistent with our hypothesis, the two groups differed with regard to pIC(50), and the group having more predicted interactions with the HERG channel had a higher mean pIC(50) value. Although additional work will be required to further validate our hypothesis, this improved understanding of the HERG channel blocker binding mode may help promote the development of in silico predictions methods for identifying potential HERG channel blockers.