Steady-state Open Probability Research Articles

Activity-dependent regulation of inwardly rectifying potassium currents in non-myelinating Schwann cells in mice.

1. Voltage-gated potassium currents were recorded from freshly dissociated non-myelinating Schwann cells of sural and sympathetic nerves from 1- to 12-week-old mice using the whole-cell or a single channel variation of the patch-clamp technique. 2. All sural cells from 2-week-old mice showed inwardly rectifying potassium (Kir+) currents in whole-cell recordings. Kir+ currents were virtually undetectable in sural cells from mice more than 6 weeks old, which also showed depolarization of the resting membrane potential. On the other hand, the magnitude of Kir+ currents increased in cervical sympathetic trunk (CST) cells in parallel with an increase of cell capacitance 1-6 weeks after birth. The density of Kir+ currents in CST cells increased 1-4 weeks after birth and then stayed constant for up to 12 weeks. 3. The unitary conductance of a single Kir+ channel in CST cells was 30 pS 2-12 weeks after birth; this was recorded in a cell-attached configuration with 154 mM K+ in the pipette. The steady-state open channel probability of single Kir+ channels in CST cells decreased with membrane hyperpolarization, but was not markedly changed 2-12 weeks after birth. 4. Conduction block of CST for 5 days induced by local application of tetrodotoxin (TTX) resulted in a significant decrease in both the magnitude and the density of Kir+ currents in whole-cell recordings in CST cells rostral to the sites of TTX block. Similar changes of Kir+ currents in whole-cell recordings were observed in cells in the inferior postganglionic branch of a superior cervical ganglion after 5 days of TTX block of CST. 5. These results suggest that neuronal activity regulates the expression of functional Kir+ channels in non-myelinating Schwann cells in adult nerves. The activity-dependent regulation of the expression of glial potassium channels could play an important role in the regulation of the potassium microenvironment around active axons to maintain impulse conduction in unmyelinated fibres.

Identification of nonselective cation channels in cultured adult rat alveolar type II cells.

There is evidence supporting the role of active transport of Na+ in the resolution of pulmonary edema, but the exact cellular mechanism(s) underlying this process remain unknown. This study demonstrated the presence of ion channels on adult rat alveolar type II cells that might be associated with this active transport of Na+. Patch-clamp techniques were used to characterize a nonselective cation channel in adult rat alveolar type II epithelial cells held in culture for 24 to 72 h. Single-channel currents were recorded from inside-out, cell-free membrane patches. The most common type of single channel had a linear slope conductance of 20.4 +/- 0.6 pS (n = 22) in symmetrical NaCl (150 mM) solutions. The channel was approximately equally permeable to Na+ and K+ ions (PK/PNa = 1.15) and was highly selective for cations (PCl/PNa < 0.05). Channel activity was Ca(2+)-dependent, and it required at least 10 microM Ca2+ on the cytosolic side of an inside-out patch to activate the channel. Amiloride (1 to 10 microM), a Na+ channel blocker in epithelial tissue, reduced the steady-state open probability of the channel 10-fold but had no significant effect on the magnitude of the single-channel conductance. Single channels with similar properties were not found in cultured rat alveolar macrophages. The possible role of this amiloride-sensitive, nonselective cation channel in Na+ transport and lung liquid clearance is discussed.

Theoretical reconstruction of myotonia and paralysis caused by incomplete inactivation of sodium channels

Muscle fibers from individuals with hyperkalemic periodic paralysis generate repetitive trains of action potentials (myotonia) or large depolarizations and block of spike production (paralysis) when the extracellular K+ is elevated. These pathologic features are thought to arise from mutations of the sodium channel alpha subunit which cause a partial loss of inactivation (steady-state Popen approximately 0.02, compared to < 0.001 in normal channels). We present a model that provides a possible mechanism for how this small persistent sodium current leads to repetitive firing, why the integrity of the T-tubule system is required to produce myotonia, and why paralysis will occur when a slightly larger proportion of channels fails to inactivate. The model consists of a two-compartment system to simulate the surface and T-tubule membranes. When the steady-state sodium channel open probability exceeds 0.0075, trains of repetitive discharges occur in response to constant current injection. At the end of the current injection, the membrane potential may either return to the normal resting value, continue to discharge repetitive spikes, or settle to a new depolarized equilibrium potential. This after-response depends on both the proportion of noninactivating sodium channels and the magnitude of the activity-driven K+ accumulation in the T-tubular space. A reduced form of model is presented in which a two-dimensional phase-plane analysis shows graphically how this diversity of after-responses arises as extracellular [K+] and the proportion of noninactivating sodium channels are varied.

Carbachol modulates voltage sensitivity of calcium channels in bronchial smooth muscle of rats.

The role of voltage-dependent Ca channels in carbachol (CCh)-induced contraction of rat bronchus was investigated. Membrane depolarization and BAY K 8644, a Ca channel opener, significantly enhanced CCh-induced contractions. Nisoldipine, an organic Ca channel blocker, significantly inhibited the contractions. Cadmium, an inorganic Ca channel blocker, completely inhibited maintained contractions caused by CCh. These results suggested that the voltage-dependent Ca channels play an important role in sustained cholinergic contractions. This hypothesis was tested further by investigating the properties of single Ca channels of rat bronchus smooth muscle cells. We used 10 mM Ba as the charge carrier and BAY K 8644 to increase open times. The single-channel conductance was 16.8 pS. Steady-state open probability (NP(o)) increased steeply with membrane depolarization (e-fold for 4 mV). The primary effect of CCh (10 microM) on Ca channels was to shift the membrane potential at which NP(o) was half maximal from -34 to -43 mV without changing the steepness factor or maximal NP(o). This CCh-induced increase in NP(o) was not caused by depolarization, because the single-channel current amplitude was unchanged by CCh. We conclude that one of the mechanisms by which CCh opens Ca channels of rat bronchus smooth muscle is by shifting the activation curve in the hyperpolarized direction.

Gating of maxi K+ channels studied by Ca2+ concentration jumps in excised inside-out multi-channel patches (myocytes from guinea pig urinary bladder).

Currents through maxi K+ channels were recorded in inside-out macro-patches. Using a liquid filament switch (Franke, C., H. Hatt, and J. Dudel. 1987. Neurosci, Lett. 77:199-204) the Ca2+ concentration at the tip of the patch electrode ([Ca2+]i) was changed in less than 1 ms. Elevation of [Ca2+]i from less than 10 nM to 3, 6, 20, 50, 320, or 1,000 microM activated several maxi K+ channels in the patch, whereas return to less than 10 nM deactivated them. The time course of Ca(2+)-dependent activation and deactivation was evaluated from the mean of 10-50 sweeps. The mean currents started a approximately 10-ms delay that was attributed to diffusion of Ca2+ from the tip to the K+ channel protein. The activation and deactivation time courses were fitted with the third power of exponential terms. The rate of activation increased with higher [Ca2+]i and with more positive potentials. The rate of deactivation was independent of preceding [Ca2+]i and was reduced at more positive potentials. The rate of deactivation was measured at five temperatures between 16 and 37 degrees C; fitting the results with the Arrhenius equation yielded an energy barrier of 16 kcal/mol for the Ca2+ dissociation at 0 mV. After 200 ms, the time-dependent processes were in a steady state, i.e., there was no sign of inactivation. In the steady state (200 ms), the dependence of channel openness, N.P(o), on [Ca2+]i yielded a Hill coefficient of approximately 3. The apparent dissociation constant, KD, decreased from 13 microM at -50 mV to 0.5 microM at +70 mV. The dependence of N.P(o) on voltage followed a Boltzmann distribution with a maximal P(o) of 0.8 and a slope factor of approximately 39 mV. The results were summarized by a model describing Ca2+- and voltage-dependent activation and deactivation, as well as steady-state open probability by the binding of Ca2+ to three equal and independent sites within the electrical field of the membrane at an electrical distance of 0.31 from the cytoplasmic side.

Single Channel Recording from Glial Cells on the Untreated Surface of the Frog Optic Nerve.

The patch clamp technique has been used to record single channel currents from the untreated surface of the intact frog optic nerve after the meninges and basal lamina have been mechanically removed. Cells filled via dialysis with Lucifer yellow (LY) from the patch pipette had a typical astrocyte morphology and were dye-coupled to adjacent astrocytes. This is consistent with the electron-microscopic observation that all the cells on the surface of this nerve are astrocytes. Two types of ion channels were studied in detached patches. One, identified as a K+ channel, had a conductance of 88 +/- 4 (S.E.) n=9 pS and an equilibrium potential of -59 +/- 8 mV in physiological K+ solutions. The steady-state open probability was not significantly altered by changing the membrane potential. A second channel had a large conductance of 300 - 1200 pS, a reversal potential of approximately 0 mV in symmetrical and non-symmetrical solutions, and was open only in the voltage range of +/-20 mV. These are the characteristics of a large anionic channel described in other preparations including cultured astrocytes.

Comparison of the serotonin‐sensitive and Ca(2+)‐activated K+ channels in Aplysia sensory neurons.

1. Single potassium channel currents were recorded in cell-attached and cell-free patches from Aplysia sensory neurons. Two prominent classes of K+ channels were identified that have similar single-channel current amplitude at 0 mV: (1) the resting conductance serotonin-sensitive K+ channels (S-channels) previously described in these neurons; and (2) a calcium-activated K+ channel. A series of experiments were carried out which enable these channels to be distinguished on the basis of their biophysical properties. These experiments also provide further insight into the gating and ionic selectivity of the S-channel. 2. In inside-out patches, single calcium-activated K+ channel currents (IK,Ca) show a linear i-V curve with a slope conductance of 66 pS (normal sea water outside, 360 mM-KCl inside) whereas single S-channels display an outwardly rectifying i-V curve with a slope conductance of 90 pS at 0 mV. 3. The gating of IK,Ca has a steep voltage dependence, with open probability showing an e-fold increase for a 16 mV depolarization. Increasing internal calcium concentration from 0.2 to 10 microM shifts the activation curve by 60 mV in the hyperpolarizing direction. 4. S-channel gating is independent of internal calcium (from less than 10 nM up to 100 microM). Steady-state open probability of the S-channel generally shows a weak dependence on membrane potential, with open probability increasing twofold for a 30-100 mV depolarization. Occasional patches were observed with S-channels displaying a much greater voltage sensitivity, with open probability increasing e-fold for a 16-20 mV depolarization. 5. S-channels are selective for K+ over Na+. The selectivity ratio depends on the ratio of Na+ to K+ concentration on the same side of the membrane. Increasing K+ concentration appears to increase relative Na+ permeability, suggesting ion-ion interactions within the channel. 6. We conclude that Aplysia sensory neurons contain two prominent distinguishable classes of K+ channels, the Ca(2+)-independent S-channel and a Ca(2+)-activated channel. The gating properties of the S-channels allow them to contribute outward repolarizing current over a wide range of membrane potentials so that their modulation by neurotransmitters contributes to changes in both resting potential and action potential duration.

Single channel studies of the phosphorylation of K+ channels in the squid giant axon. I. Steady-state conditions.

Phosphorylation of the delayed rectifier channel of squid potentiates the macroscopic K+ current and slows its activation kinetics. We have studied this phenomenon at the single channel level using the cut-open axon technique under steady-state conditions. In 10 mM external K+/310 mM internal K+ there are predominantly two types of channels present, a 20-pS and a 40-pS channel. In steady state at depolarized potentials, the 40-pS channel was most active, whereas the 20-pS channel tended to disappear due to a slow inactivation process. Two methods were developed to shift the population of channels toward a dephosphorylated state. One method consisted of predialyzing a whole axon with solutions containing no ATP, while recording the currents under axial-wire voltage clamp. A piece of axon was then removed and cut open, and single channel currents were recorded from the cut-open axon. A second method was based on the difference in diffusion coefficients for ATP and proteins such as the endogenous phosphatase. The axon was cut open in a solution that did not contain Ca2+ or Cl- in order to maintain the axoplasm structurally intact and permit endogenous phosphatase to act on the membrane while ATP diffused away, before removing the axoplasm and forming a membrane patch. When dephosphorylating conditions were used, the steady-state open probability of the 40-pS channel at 42 mV was very low (less than 0.0002), and the channel openings appeared as a series of infrequent, short-duration events. The channel activity was increased up to 150-fold by photoreleasing caged ATP inside the patch pipette in the presence of the catalytic subunit of protein kinase A. The sharp increase in open probability could be accounted for by a decrease of the slow component of the closed time distribution from 23 s to 170 ms with little change in the distribution of open times (1-2 ms) and no change in the single channel current amplitude. In voltage-jump experiments the contribution of the 40-pS channel to the delayed rectifier current was often small due to the large values of the latency to the first opening.

Modulation of sodium channel gating by external divalent cations: differential effects on opening and closing rates

The effects of external divalent cations on the steady-state open probability (Po), opening and closing rates, and conductance of batrachotoxin (BTX)-activated Na channels were studied in planar lipid bilayers. External divalent cations shifted the midpoint of the Po versus membrane potential (Vm) relation (gating curve) to more depolarized potentials. Of the group IIA divalent cations tested, Ca2+ caused the largest depolarizing shift followed by Ba2+, Sr2+ and Mg2+ in that order. In contrast, the order of decreasing efficacy for block of the single channel conductance was Ca2+, Mg2+, Sr2+ and Ba2+. Thus, because it is a relatively good shifter but a poor blocker, Ba2+ was used to study the effects of divalent cations on gating. External Ba2+ decreased the Na channel opening rate and increased the closing rate. At voltages close to the midpoint of the gating curve, the opening rate decreased by a factor of 1/2.8 while the closing rate increased by 2.0-fold. Although Ba2+ would be expected to increase the external surface potential by interacting with negatively charged residues on the channel, this preferential effect on the opening rate indicates that the effects of external Ba2+ cannot be attributed solely to an increase in the potential gradient across the voltage sensing apparatus.(ABSTRACT TRUNCATED AT 250 WORDS)

Maxi K+ channels and their relationship to the apical membrane conductance in Necturus gallbladder epithelium.

Using the patch-clamp technique, we have identified large-conductance (maxi) K+ channels in the apical membrane of Necturus gallbladder epithelium, and in dissociated gallbladder epithelial cells. These channels are more than tenfold selective for K+ over Na+, and exhibit unitary conductance of approximately 200 pS in symmetric 100 mM KCl. They are activated by elevation of internal Ca2+ levels and membrane depolarization. The properties of these channels could account for the previously observed voltage and Ca2+ sensitivities of the macroscopic apical membrane conductance (Ga). Ga was determined as a function of apical membrane voltage, using intracellular microelectrode techniques. Its value was 180 microS/cm2 at the control membrane voltage of -68 mV, and increased steeply with membrane depolarization, reaching 650 microS/cm2 at -25 mV. We have related maxi K+ channel properties and Ga quantitatively, relying on the premise that at any apical membrane voltage Ga comprises a leakage conductance and a conductance due to maxi K+ channels. Comparison between Ga and maxi K+ channels reveals that the latter are present at a surface density of 0.09/microns 2, are open approximately 15% of the time under control conditions, and account for 17% of control Ga. Depolarizing the apical membrane voltage leads to a steep increase in channel steady-state open probability. When correlated with patch-clamp studies examining the Ca2+ and voltage dependencies of single maxi K+ channels, results from intracellular microelectrode experiments indicate that maxi K+ channel activity in situ is higher than predicted from the measured apical membrane voltage and estimated bulk cytosolic Ca2+ activity. Mechanisms that could account for this finding are proposed.

Single channel characteristics of a high conductance anion channel in "sarcoballs".

Previously undescribed high conductance single anion channels from frog skeletal muscle sarcoplasmic reticulum (SR) were studied in native membrane using the "sarcoball" technique (Stein and Palade, 1988). Excised inside-out patches recorded in symmetrical 200 mM TrisCl show the conductance of the channel's predominant state was 505 +/- 25 pS (n = 35). From reversal potentials, the Pcl/PK ratio was 45. The slope conductance vs. Cl- ion concentration curve saturates at 617 pS, with K0.5 estimated at 77 mM. The steady-state open probability (Po) vs. holding potential relationship produces a bell-shaped curve, with Po values reaching a maximum near 1.0 at 0 mV, and falling off to 0.05 at +/- 25 mV. Kinetic analysis of the voltage dependence reveals that while open time constants are decreased somewhat by increases in potential, the largest effect is an increase in long closed times. Despite the channel's high conductance, it maintains a moderate selectivity for smaller anions, but will not pass larger anions such as gluconate, as determined by reversal-potential shifts. At least two substates different from the main open level are distinguishable. These properties are unlike those described for mitochondrial voltage-dependent anion channels or skeletal muscle surface membrane Cl channels and since SR Ca channels are present in equally high density in sarcoball patches, we propose these sarcoball anion channels originate from the SR. Preliminary experiments recording currents from frog SR anion channels fused into liposomes indicate that either biochemical isolation and/or alterations in lipid environment greatly decrease the channel's voltage sensitivity. These results help underline the potential significance of using sarcoballs to study SR channels. The steep voltage sensitivity of the sarcoball anion channel suggests that it could be more actively involved in the regulation of Ca2+ transport by the SR.

Inwardly rectifying whole-cell and single-channel K currents in the murine macrophage cell line J774.1.

Inward currents in the murine macrophage-like cell line J774.1 were studied using the whole-cell and cell-attached variations of the patch-clamp technique. When cells were bathed in Na Hanks' (KCl = 4.5 mM, NaCl = 145 mM), and the electrode contained Na-free K Hanks' (KCl = 145 mM) single-channel currents were observed at potentials below -40 mV which showed inward rectification, were K-selective, and were blocked by 2.5 mM Ba in the pipette. Single-channel conductance was 29 pS, and was proportional to the square root of [K]o. Channels manifested complex kinetics, with multiple open and closed states. The steady-state open probability of the channel was voltage dependent, and declined from 0.9 to 0.45 between -40 and -140 mV. When hyperpolarizing voltage pulses were repetitively applied in the cell-attached patch mode, averaged single-channel currents showed inactivation. Inactivation of inwardly rectifying whole-cell current was measured in Na Hanks' and in two types of Na-free Hanks': one with a normal K concentration (4.5 mM) and the other containing 145 mM K. Inactivation was shown to have Na-dependent and Na-independent components. Properties of single-channel current were found to be sufficient to account for the behavior of the macroscopic current, except that single-channel current showed a greater degree of Na-independent inactivation than whole-cell current.

Single voltage-dependent K+ and Cl− channels in cultured rat astrocytes

The kinetic reactions of a voltage-dependent K+ channel, which constituted about 14% of all the recorded K+ channels in the membrane of cultured rat astrocytes were studied in detail. A scheme of one open and three closed states is necessary to describe the kinetic reactions of this channel. The channel contributes little to the resting membrane potential. Its steady state open probability (Po) is 0.06 at -70 mV. When the cell is depolarized to O mV, Po approaches 1. This represents a 17-fold increase. Such channels could contribute to the potassium clearance by enhancing the effect of "spatial buffering." Additionally, single anion-selective channels with very high conductances were found in inside-out patches in approximately 15% of all recorded channels in the membrane of rat astrocytes. Channel openings are characterized by more than one conductance level; the main level showed a mean conductance of 400 pS. These channels are divided into two groups. Approximately 90% of the recorded chloride channels showed a strong voltage dependency of their current fluctuations. Within a relatively small potential range (+/- 15 mV) the channels have a high probability of being in the active state. After a voltage jump to varying testing potentials in the range of +/- 20 to +/- 50 mV the channels continued to be in the active state for some time and then closed to a shut state. If the testing potential persisted, the channels were not able to leave this shut state.(ABSTRACT TRUNCATED AT 250 WORDS)

Single voltage-dependent K +-channels in cultured astrocytes

The open-occupation time of about 35% of the K + channels in astrocytes increases strongly with depolarization. The kinetics of one of three different types of voltage-dependent channels (present in about 10% of all records) have been studied in detail. Openings can be fitted with one exponential, while a sum of three exponentials is necessary to fit the distributions of closures. A reaction scheme of one open and three closed states is necessary to describe the kinetic reactions of this channel. Voltage dependence is expressed by a strong increase of burst duration with depolarization. At resting potential (−70 mV), the channel contributes little to the resting membrane potential. Its steady-state open probability ( P 0) is 0.058. When the cell is depolarized, P 0 can increase up to 0.96. Functionally, such channels could contribute to the potassium clearance by enhancing the effect of ‘spatial buffering’.

Inactivation kinetics and steady-state current noise in the anomalous rectifier of tunicate egg cell membranes.

1. Inward K current through the anomalous rectifier in the tunicate egg (Halocynthis roretzi, Drashe) was studied under voltage clamp. The transient inward current in response to a step change of membrane potential was measured. The steady-state current fluctuations were analysed using the power density spectrum (p.d.s.). 2. The inward current showed time-dependent changes, which were described by a pair of the first order kinetic parameters, n and s for activation and inactivation, respectively. The steady-state channel open probability due to the activation process (n infinity) was assumed to be 1.0 for V more negative than about--100 mV, but that of the inactivation process (s infinity) and the time constant of inactivation (taus) were membrane potential dependent in the same potential range; both decreased with increasing hyperpolarization. 3. The inward currents in Na-free choline medium did not inactivate, but were decreased in size. In Na-free Li medium, inactivation was very small; the steady-state conductance was not affected significantly. 4. After exposure to high Ca media, an increase of the conductance was observed. This effect is probably caused by an increase of intracellular Ca due to Ca ions entering through the Na channels. Mg ions slightly decreased the conductance. 5. In the hyperpolarized membrane (-160 less than or equal to V less than or equal to -80mV), steady-state current noise was recorded and analysed using p.d.s. A p.d.s. of the 1/[1 + (f/fc)2] type as well a p.d.s. of the 1/f type was observed; f, frequency, fc, cut-off frequency. 6. fc was translated into time constant tauN (= 1/2pIfC) and compared with the time constant of inactivation, taus. There was a significant correlation betwen these values with a regression coefficient of 0.82. 7. Changing from 400 mM-Li abloshied inactivation and changed the p.d.s. from the 1/[1 + (f/fc)2] into the 1/f type. These results (paragraphs 5--7)suggest that the fluctuations in the steady-state currents originatte in the inactivation gatin kinetics of the an ofthe anomalous rectifier. 8. The number of anomalous rectifier channels and the unit channel conductance were estimated from the 1/[1 + (f/fc)2] type current noise according to the formula : (see text), where I infinity = gamma Nninfinity s infinity (V--VK), gamma the unit channel conductance, N the maximum number of channels that can be opened by a hyperpolarizing pulse per egg. The unit conductance was 6 pmho in standard artificial sea water and the channel density was 0.028/micrometer2. 9. The unit channel conductance (gamma) was dependent upon external K concentration, but the number ofchannels (N) was not. 10. The increase in chord conductance evoked by higher Ca concentrations was due to the increase of the channel number. By contrast, Mg ions seem to decrease the unit channel conductance slightly.