A simple model for surface charge on ion channel proteins

Electrification of water interface

The surface charge of a water interface determines many fundamental processes in physical chemistry and interface science, and it has been intensively studied for over a hundred years. We summarize experimental methods to characterize the surface charge densities developed so far: electrokinetics, double-layer force measurements, potentiometric titration, surface-sensitive nonlinear spectroscopy, and surface-sensitive mass spectrometry. Then, we elucidate physical ion adsorption and chemical electrification as examples of electrification mechanisms. In the end, novel effects on surface electrification are discussed in detail. We believe that this clear overview of state of the art in a charged water interface will surely help the fundamental progress of physics and chemistry at interfaces in the future.

Intrinsic electrostatic potential in the BK channel pore: role in determining single channel conductance and block

The internal vestibule of large-conductance Ca²⁺ voltage-activated K⁺ (BK) channels contains a ring of eight negative charges not present in K⁺ channels of lower conductance (Glu386 and Glu389 in hSlo) that modulates channel conductance through an electrostatic mechanism (Brelidze, T.I., X. Niu, and K.L. Magleby. 2003. Proc. Natl. Acad. Sci. USA. 100:9017–9022). In BK channels there are also two acidic amino acid residues in an extracellular loop (Asp326 and Glu329 in hSlo). To determine the electrostatic influence of these charges on channel conductance, we expressed wild-type BK channels and mutants E386N/E389N, D326N, E329Q, and D326N/E329Q channels on Xenopus laevis oocytes, and measured the expressed currents under patch clamp. Contribution of E329 to the conductance is negligible and single channel conductance of D326N/E329Q channels measured at 0 mV in symmetrical 110 mM K⁺ was 18% lower than the control. Current–voltage curves displayed weak outward rectification for D326N and the double mutant. The conductance differences between the mutants and wild-type BK were caused by an electrostatic effect since they were enhanced at low K⁺ (30 mM) and vanished at high K⁺ (1 M K⁺). We determine the electrostatic potential change, Δφ, caused by the charge neutralization using TEA⁺ block for the extracellular charges and Ba²⁺ for intracellular charges. We measured 13 ± 2 mV for Δφ at the TEA⁺ site when turning off the extracellular charges, and 17 ± 2 mV for the Δφ at the Ba²⁺ site when the intracellular charges were turned off. To understand the electrostatic effect of charge neutralizations, we determined Δφ using a BK channel molecular model embedded in a lipid bilayer and solving the Poisson-Boltzmann equation. The model explains the experimental results adequately and, in particular, gives an economical explanation to the differential effect on the conductance of the neutralization of charges D326 and E329.

AC Conductance of Transmembrane Protein Channels. The Number of Ionized Residue Mobile Counterions at Infinite Dilution

Simultaneous measurements of the AC and DC conductances of alpha-hemolysin (alphaHL) ion channels and outer membrane protein F (OmpF) porins in dilute ionic solutions is described. AC conductance measurements were performed by applying a 10 mV rms AC voltage across a suspended planar bilayer of 1-palmitoyl-2-oleoyl-sn-glycero-3-phosphocholine in the absence and presence of the protein and detecting the AC current response using phase-sensitive lock-in techniques. The conductances of individual alphaHL channels and OmpF porins were measured in symmetric KCl solutions containing between 5 and 1000 mM KCl. The AC and DC conductances of each protein were in agreement for all solution conditions, demonstrating the reliability of the AC method in single-channel recordings. Linear plots of conductance versus bulk KCl concentration for both proteins extrapolate to significant nonzero conductances (0.150 +/- 0.050 nS and 0.028 +/- 0.008 nS for OmpF and alphaHL, respectively) at infinite KCl dilution. The infinite dilution conductances are ascribed to mobile counterions of the ionizable residues within the protein lumens. A method of analyzing the plots of conductance vs KCl concentration is introduced that allows the determination of the concentration of mobile counterions associated with ionizable groups without knowledge of either the protein geometry or the ion mobilities. At neutral pH, an equivalent of 3 mobile counterions (K+ or Cl-) is estimated to contribute to the conductivity of the alphaHL channel.

Cellular microtransport processes: intercellular, intracellular, and aggregate behavior

Ionic and molecular transfer among cells occurs by a variety of transport processes operative at different length scales. Cell membrane permeability and electrical conductance derive from channel proteins producing pores at the molecular (ultrastructural) scale. Intracellular mobility involves the dynamics of motion through the complex ultrastructure of the cytoplasm. These phenomena unite in the larger-scale (microscopic) process of gross intercellular transfer. When such movement occurs among sufficiently many cells, it in turn begins to reflect their average collective (macroscopic) behavior as bulk tissue. This article surveys selected aspects of intercellular and intracellular transport, with emphasis on detailed mechanistic theory, experimental probes of cellular permeability, and systematic transcendence from small to large length scales.

Surface potentials and the calculated selectivity of ion channels

Ion channels catalyze the transport of ions across biological membranes. A proper understanding of ion-channel functioning is essential to our knowledge of cell physiology, and, in this context, ion-channel selectivity is a key concept. The extent to which a channel permeates two ion species, a and b, is expressed by the permeability ratio, P(a)/P(b). This paper addresses a complication in the calculation of P(a)/P(b) that is related to the existence of surface potentials (psi) and that so far has not been fully appreciated. This paper shows the rather surprising effect of psi on the calculated P(a)/P(b) of a channel that is permeable to two ion species of different valence. If we ignore psi, we conclude, for instance, P(a) > P(b). If we implement psi in the calculation of P(a)/P(b), we may, however, conclude exactly the reverse, i.e., P(a) < P(b). Because electrostatic potentials arise at the surface of essentially all biological membranes, this paper argues for a more critical evaluation of ion channel selectivity measurements.

The influence of surface charges on the conductance of the human connexin37 gap junction channel

The single-channel conductance of the hCx37 homotypic gap junction channel does not saturate with transjunctional voltages up to +/-75 mV, nor does it depend linearly on the intracellular electrolyte concentration. The average maximum unitary conductances measured in KCl were 175 pS (30 mM), 236 pS (55 mM), 343 pS (110 mM), and 588 pS (270 mM) in the presence of 0.1 mM MgCl(2). The unexpectedly high unitary conductance at low salt concentrations can be explained by fixed charge groups within or near the channel orifice. Fixed cytoplasmic surface charges (3.4 e) positioned adjacent (15 A) to the channel pore adequately model the data (surface charge density of 0.24 e/(nm)(2)). In other experiments, high Mg(2+) reduced the unitary conductance of hCx37 homotypic gap junction channels more than predicted by screening alone, consistent with specific effects of Mg(2+) on the channel.

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.

Surface charge and calcium channel saturation in bullfrog sympathetic neurons

Currents carried by Ba2+ through calcium channels were recorded in the whole-cell configuration in isolated frog sympathetic neurons. The effect of surface charge on the apparent saturation of the channel with Ba2+ was examined by varying [Ba2+]o and ionic strength. The current increased with [Ba2+]o, and the I-V relation and the activation curve shifted to more positive voltages. The shift of activation could be described by Gouy-Chapman theory, with a surface charge density of 1 e-/140 A2, calculated from the Grahame equation. Changes in ionic strength (replacing N-methyl-D-glucamine with sucrose) shifted the activation curve as expected for a surface charge density of 1 e-/85 A2, in reasonable agreement with the value from changing [Ba2+]o. The instantaneous I-V for fully activated channels also changed with ionic strength, which could be described either by a low surface charge density (less than 1 e-/1,500 A2), or by block by NMG with Kd approximately 300 mM (assuming no surface charge). We conclude that the channel permeation mechanism sees much less surface charge than the gating mechanism. The peak inward current saturated with an apparent Kd = 11.6 mM for Ba2+, while the instantaneous I-V saturated with an apparent Kd = 23.5 mM at 0 mV. This discrepancy can be explained by a lower surface charge near the pore, compared to the voltage sensor. After correction for a surface charge near the pore of 1 e-/1,500 A2, the instantaneous I-V saturated as a function of local [Ba2+]o, with Kd = 65 mM. These results suggest that the channel pore does bind Ba2+ in a saturable manner, but the current-[Ba2+]o relationship may be significantly affected by surface charge.

Ion selectivity of colicin E1: III. Anion permeability

The antibiotic protein colicin E1 forms ion channels in planar lipid bilayers that are capable of conducting monovalent organic cations having mean diameters of at least 9 A. Polyvalent organic cations appear to be completely impermeant, regardless of size. All permeant ions, whether large or small, positively or negatively charged, are conducted by this channel at very slow rates. We have examined the permeability of colicin E1 channels to anionic probes having a variety of sizes, shapes, and charge distributions. In contrast to the behavior of cations, polyvalent as well as monovalent organic anions were found to permeate the colicin E1 channel. Inorganic sulfate was able to permeate the channel only when the pH was 4 or less, conditions under which the colicin E1 protein is predominantly in an anion-preferring conformational state. The less selective state(s) of the colicin E1 channel, observed when the pH was 5 or greater, was not permeable to inorganic sulfate. The sulfate salt of the impermeant cation Bis-T6 (N,N,N',N'-tetramethyl-1,6-hexanediamine) had no effect on the single channel conductance of colicin E1 channels exposed to solutions containing 1 M NaCl at pH 5. The complete lack of blocking activity by either of these two impermeant ions indicates that both are excluded from the channel lumen. These results are consistent with our hypothesis that there is but a single location in the lumen of the colicin E1 channel where positively charged groups can be effectively hydrated. This site may coincide with the location of the energetic barrier which impedes the movement of anions.