Regulation of cytoplasmic pH of cultured bovine corneal endothelial cells in the absence and presence of bicarbonate

Summary Single sodium-channel currents were measured in neuroblastoma cells after inhibition of inactivation by chloramine-T (CHL-T), sea anemone toxin II (ATX-II) and scorpion toxin (SCT). The decaying phase of the averaged single-channel currents recorded with 90-msec pulses in cell-attached patches was clearly slower than that of the unmodified channels, suggesting inhibition of macroscopic inactivation. Each substance caused repetitive openings and a moderate increase in the channel open time. AtV _m =RP+20 mV andT=12°C, the mean channel open times were 1.4, 1.6 and 1.8 msec for CHL-T, ATX-II and SCT, respectively, as opposed to 1.07 msec for native channels. Open-time histograms could be best fitted by the sum of two exponentials. The time constants of the fits were similar for histograms constructed from single openings and from openings during bursts. This suggests that the population of channels is homogeneous and that in bursts the same open conformations of channels occur as in single openings. Mean burst durations for bursts consisting of more than one opening atV _m =RP+20 mV were 4.9, 5.8 and 6.1 msec for CHL-T, ATX-II and SCT, respectively. Burst open-time histograms constructed from two or three openings were fitted by the gamma function. The different time constants of the fits obtained for ATX-II and SCT suggested multiple open conformations of channels for openings of bursts. However, significantly different open-time histograms constructed from the first, second and third openings of bursts could not be obtained systematically. A positive correlation was found for the dwell time of the first and the second, as well as for the second and the third opening of bursts with each substance, but a negative one for the dwell time of an opening and the neighboring closing of bursts with ATX-II. The results suggest a model with multiple open and inactivated states. In this model the inactivated states are weakly absorbing.     

Conditional open and delay time histograms of sodium channels

Currents through single sodium channels were recorded in neuroblastoma cells. Open time histograms were constructed from openings which appeared between 2.0 and 5.0 ms after the onset of the depolarization. Histograms constructed from openings which were not preceded by other openings showed a maximum at t greater than 0 in contrast to those, which were preceded by other openings. Time constants of delay time histograms fitted by the sum of two exponentials were different for the first, second and third records of runs. The results support the view that sodium channels have multiple open and closed states and the transition probabilities among the states depend on local conditions of the membrane.     

Light-activated single channel currents in Limulus ventral nerve photoreceptors

Light-activated single channel currents were measured in Limulus ventral photoreceptors in the cell-attached configuration at 14°C. The results show three channel types with conductances of 6.2, 10.4 and 28.7 pS. The most active channels have the 10 pS conductance; the open time histograms of these channels could be best fitted by the sum of two exponentials with time constants (and weights) of 0.58 ms (0.78) and 4.32 ms (0.22), suggesting two populations of channels or two open states. The mean open time was 1.38 ms. The open time histogram of the channels with the 29 pS conductance could be best fitted by a single exponential with a time constant of 3.35 ms. First latencies of the 10 pS channels were between 40 and 280 ms but those of the 29 pS conductance channels were 300 ms. These findings suggest that the two channel types are gated by two different intracellular transmitters or mechanisms. Offprint requests to: K. Nagy     

Blocking kinetics of Cl- channels in colonic carcinoma cells (HT29) as revealed by 5-nitro-2-(3-phenylpropylamino)benzoic acid (NPPB)

The blocking effect of 5-nitro-2-(3-phenylpropylamino)benzoic acid (NPPB) was investigated on single Cl- channels of the cultured human colon carcinoma cells, HT29. In the absence of NPPB, the open-time histogram yielded two time constants, with 0.9 ms and 33 ms, whereas the closed-time distribution could be fitted by a single exponential with a time constant of 0.7 ms. Addition of NPPB in the range 1-50 microM induced brief closing events of the single-channel current. This resulted in a decrease of the long open-time constant to 2.1 ms and in an increase of the closed-time constant to 1.8 ms at 50 microM NPPB concentration. The short open-time constant did not change at low blocker concentration (1 microM), but could no longer be resolved at higher concentrations. The open-state probability decreased from 0.9 (control conditions) to 0.5 at 50 microM NPPB. The Hill plot yielded a Hill coefficient of about 0.7, compatible with one NPPB molecule inhibiting one channel molecule. The kinetics of channel gating are described by a sequential model with one closed and two open states. Since in the presence of NPPB no additional time constant appeared in the time histograms, we assumed the same kinetic scheme as under control conditions, and hypothesize that NPPB has an influence on rate constants.     

Kinetic properties of single-ion channels activated by light in Limulus ventral nerve photoreceptors

Previous results on Limulus ventral photoreceptors have suggested that besides inositol trisphosphate, another unknown transmitter may also work in the transduction cascade. This assumption has been supported by the finding of two light-activated channel types. The present report furnishes further evidence of the dual transmitter mechanism in phototransduction by analyzing the kinetic properties and voltage dependency of these cation channels with conductances of 12 pS and 30 pS. Single-channel currents were recorded in Limulus ventral nerve photoreceptors in cell-attached configuration at 14°C. At V _m + 80 mV the open-time histograms of both channels were fit best by the sum of two exponentials; time constants (and weights) were: 0.81 ms (0.62) and 6.20 ms (0.38) for the 12 pS channels and 2.38 ms (0.43) and 19.4 ms (0.57) for the 30 pS channels. At this potential the mean open times were 2.7 ms for the 12 pS and 13.3 ms for the 30 pS channels, about two-times larger than at hyperpolarizing potentials. The deactivation kinetics were also different for the two channels. The time constants of the decay of the channel activity, after switching off the light, were 2.5 s for the 12 pS and 12.9 s for the 30 pS channels. The 12 pS channel exhibits bursting and subconductance states at positive potentials. The subconductances are about 20%, 46% and 72% of the fully open state. Results show that the two types of light-activated channels have different kinetic parameters, voltage dependence and gating mechanisms. The two channels are suggested to be gated by different transmitters or processes. It is proposed that for the 30 pS channel the transmitter could be calcium ion or a calcium-dependent transmitter.     

Gating kinetics of batrachotoxin-modified sodium channels in neuroblastoma cells determined from single-channel measurements

We have observed the opening and closing of single batrachotoxin (BTX)-modified sodium channels in neuroblastoma cells using the patch-clamp method. The conductance of a single BTX-modified channel is approximately 10 pS. At a given membrane potential, the channels are open longer than are normal sodium channels. As is the case for normal sodium channels, the open dwell times become longer as the membrane is depolarized. For membrane potentials more negative than about -70 mV, histograms of both open-state dwell times and closed-state dwell times could be fit by single exponentials. For more depolarized potentials, although the open-state histograms could still be fit by single exponentials, the closed-state histograms required two exponentials. This data together with macroscopic voltage clamp data on the same system could be accounted for by a three-state closed-closed-open model with transition rates between these states that are exponential functions of membrane potential. One of the implications of this model, in agreement with experiment, is that there are always some closed BTX-modified sodium channels, regardless of membrane potential.     

Kinetic diversity of Na+ channel bursts in frog skeletal muscle

Individual Na+ channels of dissociated frog skeletal muscle cells at 10 degrees C fail to inactivate in 0.02% of depolarizing pulses, thus producing bursts of openings lasting hundreds of milliseconds. We present here a kinetic analysis of 87 such bursts that were recorded in multi-channel patches at four pulse potentials. We used standard dwell-time histograms as well as fluctuation analysis to analyze the gating kinetics of the bursting channels. Since each burst contained only 75-150 openings, detailed characterization of the kinetics from single bursts was not possible. Nevertheless, at this low kinetic resolution, the open and closed times could be well fitted by single exponentials (or Lorentzians for the power spectra). The best estimates of both the open and closed time constants produced by either technique were much more broadly dispersed then expected from experimental or analytical variability, with values varying by as much as an order of magnitude. Furthermore, the values of the open and closed time constants were not significantly correlated with one another from burst to burst. The bursts thus expressed diverse kinetic behaviors, all of which appear to be manifestations of a single type of Na+ channel. Although the opening and closing rates were dispersed, their average values were close to those of alpha m and 2 beta m derived from fits to the early transient Na+ currents over the same voltage range. We propose a model in which the channel has both primary states (e.g., open, closed, and inactivated), as well as "modes" that are associated with independent alterations in the rate constants for transition between each of these primary states.     

Kinetics of the work of the ion channels controlled by nicotinic cholinoreceptors in the membrane of mollusk neurons

Currents entering through single channels with conductivity 10 pS were produced on the membrane of an isolated neuron of the fresh-water molluskPlanorbarius corneus in the presence of suberyldicholine (5 µM) by the patch-clamp technique (cell-attached configuration). The times of stay of the channels in the open and closed states, as well as the durations of pulse bursts and clusters, were measured. The distributions of the time intervals obtained experimentally were approximated for open states by one exponential function: t_o=27±3 msec (n=21), and for closed states by a sum of three exponentials: t_c1=9.5±1.0 msec (n=21); t_c2=171±33 msec (n=19); t_c3=5.2±1.0 sec (n=21). The burst durations are characterized by the presence of two exponential functions in the distribution: t_b2=20±14 msec (n=10), t_b2=203±23 msec (n=10), and the clusters by three exponential functions: t_k1=33±11 msec (n=8), t_k2=274±84 msec (n=8), and t_k3=1.5±0.5 sec (n=9). Thus, for work of a chemoactivated channel associated with nicotinic-type cholinoreceptors in a mollusk neuron we can suggest a kinetic scheme with one open and three nonconducting states: C O D₁A₂ D₂A₂. The two "long-lived" closed states of the channel may be associated with desensitization of the integral response of the neurons to the application of suberyldicholine. Values were obtained for the rate constants of these proposed reactions. It is suggested that this model may be useful in analyzing the action of cholinomimetics and blockers on the molluskan neuronal membrane.I. M. Sechenov Institute of Evolutionary Physiology and Biochemistry, Academy of Sciences of the USSR, Leningrad. Translated from Neirofiziologiya, Vol. 23, No. 5, pp. 588–595, September–October, 1991.     

Dihydropyridine-sensitive skeletal muscle Ca channels in polarized planar bilayers. 1. Kinetics and voltage dependence of gating.

Rabbit skeletal muscle transverse tubule (T) membranes were fused with planar bilayers. Ca channel activity was studied with a "cellular" approach, using solutions that were closer to physiological than in previous studies, including asymmetric extracellular divalent ions as current carriers. The bilayer was kept polarized at -80 mV and depolarizing pulses were applied under voltage clamp. Upon depolarization the channels opened in a steeply voltage-dependent manner, and closed rapidly at the end of the pulses. The activity was characterized at the single-channel level and on macroscopic ensemble averages of test-minus-control records, using as controls the null sweeps. The open channel events had one predominant current corresponding to a conductance of 9 pS (100 mM Ba2+). The open time histogram was fitted with two exponentials, with time constants of 5.8 and 30 ms (23 degrees C). Both types of events were virtually absent at -80 mV. The average open probability (fractional open time) increased sigmoidally from 0 to a saturation level of 0.08, following a Boltzmann function centered at -25 mV and with a steepness factor of 7 mV. Ensemble averages of test-minus-control currents showed a sigmoidal activation followed by inactivation during the pulse and deactivation (closing) after the pulse. The ON time course was well fitted with "m3h" kinetics, with tau m = 120 ms and tau h = 1.2 s. Deactivation was exponential with tau = 8 ms. This study demonstrates a technique for obtaining Ca channel events in lipid bilayers that are strictly voltage dependent and exhibit most of the features of the macroscopic ICa. The technique provides a useful approach for further characterization of channel properties, as exemplified in the accompanying paper, that describes the consequences on channel properties of phosphorylation by cAMP dependent protein kinase.     

Novel type of ion channel activated by Pb2+, Cd2+, and Al3+ in cultured mouse neuroblastoma cells

Summary Superfusion with Pb²⁺ induces a slow, noninactivating and reversible inward current in voltage-clamped N1E-115 neuroblastoma cells. The amplitude of this inward current increases in the range of 1–200 m Pb²⁺. Single-channel patch-clamp experiments have revealed that this inward current is mediated by discrete ion channels. Reversal potentials from linearI–V relationships are close to 0 mV for whole-cell and single-channel currents and the single-channel conductance amounts to 24 pS. The Pb²⁺-induced membrane current is not mediated by various known types of ion channels, since it is not blocked by external tetrodotoxin, tetraethylammonium,d-tubocurarine, atropine, ICS 205-930 and by internal EGTA. In Na⁺-free solutions superfusion with Pb²⁺ neither evokes a whole-cell inward current, nor single-channel openings. At –80 mV the open-time distribution of the single channels activated by 1m Pb²⁺ is dual exponential with time constants of 17 and 194 msec. When the Pb²⁺ concentration is increased from 1 to 20 m these time constants decrease to 2 and 13 msec, but the amplitude of single-channel currents remains –1.9 nA. Cd²⁺ and Al³⁺ induce inward currents and single-channel openings similar to Pb²⁺. Time constants fitted to the open-time distribution of single channels are 14 and 135 msec in the presence of 1 m Cd²⁺ and 15 and 99 msec in the presence of 50 m Al³⁺. Conversely, Cu²⁺ induces an irreversible inward current in neuroblastoma cells. Single-channel openings are undetected in the presence of Cu²⁺ and in Na⁺-free solutions Cu²⁺ is still able to induce an inward current. It is concluded that Pb²⁺, Cd²⁺ and possibly Al³⁺ activate a novel type of metal ionactivated (MIA) channel in N1E-115 cells.     

Modification of single cardiac Na+ channels by DPI 201-106

Summary In inside-out patches from cultured neonatal rat heart cells, single Na⁺ channel currents were analyzed under the influence of the cardiotonic compound DPI 201-106 (DPI), a putative novel channel modifier. In absence of DPI, normal cardiac single Na⁺ channels studied at –30 mV have one open state which is rapidly left with a rate constant of 826.5 sec^–1 at 20°C during sustained depolarization., Reconstructed macroscopic currents relax completely with 7 to 10 msec. The current decay fits a single exponential. A considerable percentage of openings may occur during relaxation of the macroscopic current. In patches treated with 3×10^–6 m DPI in the pipette solution, stepping to –30 mV results in drastically prolonged and usually repetitive openings. This channel activity mostly persists over the whole depolarization (usually 160 msec in duration) but is abruptly terminated on clamping back the patch to the holding potential. Besides these modified events, apparently normal openings occur. The open time distribution of DPI-treated Na⁺ channels is the sum of two exponentials characterized by time constants of 0.85 msec (which is close to the time constant found in the control patches, 1.21 msec) and 12 msec. Moreover, DPI-modified Na⁺ channels exhibit a sustained high, time-independent open probability. Similar to normal Na⁺ channels, the mean number of open DPI-modified Na⁺ channels is voltage-dependent and increases on shifting the holding potential in the hyperpolarizing direction. These kinetic changes suggest an elimination of Na⁺ channel inactivation as it may follow from an interaction of DPI with Na⁺ channels.     

Effects of membrane potential on just detectable movement in rat skeletal muscle: Effects of denervation

The potential, Vt, at which a brief test depolarization first elicited movement was determined using two-microelectrode point voltage clamp. We expected that inactivation of excitation-contraction coupling at conditioning potentials between ?60 and 0 mV would shift Vt to more positive potentials, and that fibers would become inactivatable with less conditioning depolarization in EDL than soleus. The curve relating Vt to conditioning potential had a negative slope (which was insensitive to addition of 1 mm cobalt or replacement of calcium with 20 mm CaEGTA) between ?60 and ?35 mV and a steep positive slope with further depolarization. Unexpectedly, fibers became inactivatable with less conditioning depolarization in soleus than in EDL when Vt was measured with 50 msec test pulses. However, the positive shift in Vt became less steep as test pulse duration lengthened in soleus fibers. When Vt obtained with test pulses approaching rheobase (10 msec in EDL and 500 msec in soleus) was compared, EDL fibers became inactive with less conditioning depolarization than soleus fibers. The increase in Vt became steeper with 1 mm cobalt or 20 mm CaEGTA and was shifted to more positive potentials by denervation in soleus fibers. We conclude that inactivation (i) does not strongly influence threshold contractions at conditioning potentials between ?60 and ?40 mV and (ii) influences Vt between ?40 and 0 mV in a manner that depends on test pulse duration.     

Characterization of single L-type Ca<Superscript>2+</Superscript> channels in myocytes isolated from the cricket lateral oviduct

The single Ca²⁺ channel activity was obtained from cell-attached patch recordings with the use of pipettes filled with 100 mM Ba²⁺ as the charge carrier in myocytes isolated from the lateral oviduct of cricket Gryllus bimaculatus. The following results were obtained. (1) The channel had a unitary conductance of 18 pS. (2) The open time histogram of the channel could be fitted with a single exponential while the closed time histogram could be fitted with the sum of two exponentials, suggesting that there are at least one open state and two closed states for this channel. (3) The open probability of the channel increased with increasing membrane depolarization. (4) The mean current reconstructed by averaging individual current trace responses inactivated slowly and the current–voltage relationship for the peak mean current showed a bell-shaped relation. (5) The dihydropyridine (DHP) Ca²⁺ antagonist, nifedipine, reduced the mean current by increasing the proportion of blank sweeps. On the other hand, the DHP Ca²⁺ agonist, Bay K 8644, increased the mean current by increasing the mean open-times of the channel. These results confirm a presence of DHP-sensitive L-type Ca²⁺ channel in myocytes isolated from the lateral oviduct of cricket G. bimaculatus.     

Gating of single non-Shaker A-type potassium channels in larval Drosophila neurons

The voltage-dependent gating of transient A2-type potassium channels from primary cultures of larval Drosophila central nervous system neurons was studied using whole-cell and single-channel voltage clamp. A2 channels are genetically distinct from the Shaker A1 channels observed in Drosophila muscle, and differ in single-channel conductance, voltage dependence, and gating kinetics. Single A2 channels were recorded and analyzed at -30, -10, +10, and +30 mV. The channels opened in bursts in response to depolarizing steps, with three to four openings per burst and two to three bursts per 480-ms pulse (2.8-ms burst criterion). Mean open durations were in a range of 2-4 ms and mean burst durations in a range of 9-17 ms. With the exception of the first latency distributions, none of the means of the distributions measured showed a consistent trend with voltage. Macroscopic inactivation of both whole-cell A currents and ensemble average currents of single A2 channels was well fitted by a sum of two exponentials. The fast time constants in different cells were in a range of 9-25 ms, and the slow time constants in a range of 60-140 ms. A six-state kinetic model (three closed, one open, two inactivated states) was tested at four command voltages by fitting frequency histograms of open durations, burst durations, burst closed durations, number of openings per burst, and number of bursts per trace. The model provided good fits to these data, as well as to the ensemble averages. With the exception of the rates leading to initial opening, the transitions in the model were largely independent of voltage.     

Electrophysiological and Theoretical Analysis of Depolarization-Dependent Outward Currents in the Dendritic Membrane of an Identified Nonspiking Interneuron in Crayfish

Depolarization-dependent outward currents were analyzed using the single-electrode voltage clamp technique in the dendritic membrane of an identified nonspiking interneuron (LDS interneuron) in situ in the terminal abdominal ganglion of crayfish. When the membrane was depolarized by more than 20 mV from the resting potential (65.0 ± 5.7 mV), a transient outward current was observed to be followed by a sustained outward current. Pharmacological experiments revealed that these outward currents were composed of 3 distinct components. A sustained component (I _s) was activated slowly (half rise time > 5 msec) and blocked by 20 mM TEA. A transient component (I _t1) that was activated and inactivated very rapidly (peak time < 2.5 msec, half decay time < 1.2 msec) was also blocked by 20 mM TEA. Another transient component (I _t2) was blocked by 100 M 4AP, activated rapidly (peak time < 10.0 msec) and inactivated slowly (half decay time > 131.8 msec). Two-step pulse experiments have revealed that both sustained and transient components are not inactivated at the resting potential: the half-maximal inactivation was attained at –21.0 mV in I _t1, and –38.0 mV in I _t2. I _s showed no noticeable inactivation. When the membrane was initially held at the resting potential level and clamped to varying potential levels, the half-maximal activation was attained at –36.0 mV in I _s, –31.0 mV in I _t1 and –40.0 mV in I _t2. The activation and inactivation time constants were both voltage dependent. A mathematical model of the LDS interneuron was constructed based on the present electrophysiological records to simulate the dynamic interaction of outward currents during membrane depolarization. The results suggest that those membrane conductances found in this study underlie the outward rectification of the interneuron membrane as well as depolarization-dependent shaping of the excitatory synaptic potential observed in current-clamp experiments.     

On the use of time constants as estimates of mean lifetimes in single channel data analysis

For Markov models of single channel kinetics, a sojourn time in a class of states has a density function which is usually a linear combination of exponential densities. There are many instances in the single channel literature where the time constants of exponentials fitted to sojourn time data have been used as estimated mean sojourn times in individual states, though the two may be very different. In the present study the nature and magnitude of this difference in the case of a two state class is illustrated analytically and numerically. The time constants should be viewed at best as approximations, possibly poor, to the estimated mean sojourn times. Estimates of kinetic parameters cannot in general be obtained explicitly from the fitted parameters of the density alone. However, this is shown to be possible in some special cases and enables direct estimation of, for example, the channel opening rate constant (or an upper limit to the estimate of in the case of multiple channels) in standard sequential three or four state models of nicotinic receptor kinetics, using only the fitted parameters of the closed-time density. Offprint requests to: R. O. Edeson     

Recovery of Ca currents from inactivation: The roles of Ca influx,membrane potential,and cellular metabolism

Ca currents were examined with regard to their recovery from inactivation. The experiments were done on isolated nerve cell bodies of Helix aspersa using a combined suction pipet , microelectrode method for voltage clamp, and internal perfusion. Ca currents were separated by suppressing K and Na currents. The time course of recovery was determined by applying a test pulse at intervals ranging from 1 msec to 20 sec after prepulses varying from 20 to 3000 msec in duration. Each pair of pulses was preceded by a control pulse to ensure that the Ca currents had recovered before the next test pair was applied. Ba and Ca currents were compared and the effects of intracellular perfusion with EGTA, ATP, and vanadate were examined. Ba currents recovered in two stages and this time course was well fit by a sum of two exponentials with amplitudes and time constants given by A1 and tau 1 for the fast component and A2 and tau 2 for the slow component. In Ba the time constants were unchanged when prepulse durations were prolonged from 70 to 700 msec, although the initial amplitudes A1 and A2, particularly A2, were increased. Comparable influxes of Ca during the prepulse caused much more inactivation, but interestingly the recovery occurred at the same rate. The time course of Ca current recovery was also fit by a sum of two exponentials, the time constants of which were both smaller than the time constants of Ba current recovery. However, the time constants of Ca current recovery were increased markedly when prepulse durations were prolonged. Increasing the extracellular Ca concentration had a similar effect. Increasing the Ba influx had no effect on the recovery time constants, and the Ba results are consistent with reversible inactivation gating of potential-dependent membrane Ca channels. The Ca results show that Ca influx enhances inactivation. Intracellular perfusion with EGTA resulted in less inactivation in the cast of Ca but it had no effect on Ba currents. Intracellular ATP increased the rate of recovery of Ca currents, and intracellular vanadate inhibited recovery. It is concluded that recovery of Ca channels depends upon both Ca influx and membrane potential and is modulated by agents which affect Ca metabolism.     

Analysis of the T-type calcium channel in embryonic chick ventricular myocytes

Summary T-type calcium channels (I _T channels) were studied in cell-attached patch electrode recordings from the ventricular cell membrane of 14-day embryonic chick heart. All experiments were performed in the absence of Ca²⁺ with Na⁺ (120mm) as the charge carrier.I _T channels were distinguished from L-type calcium channels (I _L) by their more negative activation and inactivation potential ranges; their smaller unitary slope conductance (26 pS), and their insensitivity to isoproterenol or D600. Inactivation kinetics were voltage dependent. The time constant of inactivation was 37 msec when the membrane potential was depolarized 40 mV from rest (R+40 mV), and 20 msec atR+60 mV. The frequency histogram of channel open times ₀ was fit by a single-exponential curve while that of closed times _c was biexponeintial. _o was the same atR+40 mV andR+60 mV whereas _c was shortened atR+60 mV. The open-state probability (P _o) increased with depolarization: 0.35 atR+40 mV, 0.8 atR+60 mV and 0.88 atR+80 mV. This increase inP _o at depolarized potentials could be accounted for by the decrease in _c.     

Gating and Conduction Properties of a Sodium-activated Cation Channel from Lobster Olfactory Receptor Neurons

The gating and conduction properties of a channel activated by intracellular Na⁺ were studied by recording unitary currents in inside-out patches excised from lobster olfactory receptor neurons. Channel openings to a single conductance level of 104 pS occurred in bursts. The open probability of the channel increased with increasing concentrations of Na⁺. At 210 mm Na⁺, membrane depolarization increased the open probability e-fold per 36.6 mV. The distribution of channel open times could be fit by a single exponential with a time constant of 4.09 msec at −60 mV and 90 mm Na⁺. The open time constant was not affected by the concentration of Na⁺, but was increased by membrane depolarization. At 180 mm Na⁺ and −60 mV, the distribution of channel closed times could be fit by the sum of four exponentials with time constants of 0.20, 1.46, 8.92 and 69.9 msec, respectively. The three longer time constants decreased, while the shortest time constant did not vary with the concentration of Na⁺. Membrane depolarization decreased all four closed time constants. Burst duration was unaffected by the concentration of Na⁺, but was increased by membrane depolarization. Permeability for monovalent cations relative to that of Na⁺ (P _X /P _Na ), calculated from the reversal potential, was: Li⁺ (1.11) > Na⁺ (1.0) > K⁺ (0.54) > Rb⁺ (0.36) > Cs⁺ (0.20). Extracellular divalent cations (10 mm) blocked the inward Na⁺ current at −60 mV according to the following sequence: Mn²⁺ > Ca²⁺ > Sr²⁺ > Mg²⁺ > Ba²⁺. Relative permeabilities for divalent cations (P _Y /P _Na ) were Ca²⁺ (39.0) > Mg²⁺ (34.1) > Mn²⁺ (15.5) > Ba²⁺ (13.8) > Na⁺ (1.0). Both the reversal potential and the conductance determined in divalent cation-free mixtures of Na⁺ and Cs⁺ or Li⁺ were monotonic functions of the mole fraction, suggesting that the channel is a single-ion pore that behaves as a multi-ion pore when the current is carried exclusively by divalent cations. The properties of the channel are consistent with the channel playing a role in odor activation of these primary receptor neurons. Received: 17 September 1996/Revised: 15 November 1996     

Estimation of rate constants of drug binding to open channels of cardiac transient outward current

An improved approach to the evaluation of the rate constants of drugs binding to the open channel underlying the transient outward potassium current I(t0) is described. It is based on an analysis of a quantitative model formulated by a set of twelve differential equations. The rate constants are calculated from the time constants resulting from an approximation of the time course of apparent inactivation of the recorded I(t0) by two exponentials in the absence and by three exponentials in the presence of a blocking agent. The model study confirmed significantly higher accuracy in comparison with the existing electrophysiological method.