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The Journal of Neuroscience, December 15, 2000, 20(24):9004-9016

Ionic Currents and Spontaneous Firing in Neurons Isolated from the Cerebellar Nuclei

Indira M. Raman^{1, 2}, Amy E. Gustafson², and Daniel Padgett²

¹ Department of Neurobiology and Physiology and ² Integrated Science Program, Northwestern University, Evanston, Illinois 60208

	ABSTRACT

TOP ABSTRACT INTRODUCTION MATERIALS AND METHODS RESULTS DISCUSSION REFERENCES

Neurons of the cerebellar nuclei fire spontaneous action potentials both in vitro, with synaptic transmission blocked, and in vivo, in resting animals, despite ongoing inhibition from spontaneously active Purkinje neurons. We have studied the intrinsic currents of cerebellar nuclear neurons isolated from the mouse, with an interest in understanding how these currents generate spontaneous activity in the absence of synaptic input as well as how they allow firing to continue during basal levels of inhibition. Current-clamped isolated neurons fired regularly (~20 Hz), with shallow interspike hyperpolarizations (approximately 60 mV), much like neurons in more intact preparations. The spontaneous firing frequency lay in the middle of the dynamic range of the neurons and could be modulated up or down with small current injections.

During step or action potential waveform voltage-clamp commands, the primary current active at interspike potentials was a tetrodotoxin-insensitive (TTX), cesium-insensitive, voltage-independent, cationic flux carried mainly by sodium ions. Although small, this cation current could depolarize neurons above threshold voltages. Voltage- and current-clamp recordings suggested a high level of inactivation of the TTX-sensitive transient sodium currents that supported action potentials. Blocking calcium currents terminated firing by preventing repolarization to normal interspike potentials, suggesting a significant role for K(Ca) currents. Potassium currents that flowed during action potential waveform voltage commands had high activation thresholds and were sensitive to 1 mM TEA. We propose that, after the decay of high-threshold potassium currents, the tonic cation current contributes strongly to the depolarization of neurons above threshold, thus maintaining the cycle of firing.

Key words: deep cerebellar nuclei; pacemaking; action potential; sodium channel; cation channel; persistent sodium current

	INTRODUCTION

TOP ABSTRACT INTRODUCTION MATERIALS AND METHODS RESULTS DISCUSSION REFERENCES

Many neurons fire regular, spontaneous, sodium-dependent action potentials, even in the absence of synaptic input (Llinás and Sugimori, 1980; Williams et al., 1984; Jahnsen, 1986a; Grace and Onn, 1989; Yung et al., 1991; du Lac and Lisberger, 1995; Mouginot and Gähwiler, 1995; Uteshev et al., 1995; Bayliss et al., 1997). Spontaneous firing can be generated in several ways. In some neurons, low-threshold calcium currents and hyperpolarization-activated cation currents (I_h; Mayer and Westbrook, 1983) are recruited by afterhyperpolarizations and depolarize the membrane before each action potential (McCormick and Pape, 1990). In neurons with less prominent afterhyperpolarizations, spontaneous firing might occur if the currents that determine the resting potential (if spikes could be prevented) equilibrate at potentials sufficiently positive for significant activation of transient sodium currents. In some cells these steady "resting" currents are carried by tetrodotoxin-sensitive (TTX) sodium channels (Pennartz et al., 1997; Feigenspan et al., 1998; Bevan and Wilson, 1999; Raman and Bean, 1999) or I_h channels (Ghamari-Langroudi and Bourque, 2000). Other potential candidates for such currents include voltage-gated calcium currents and nonspecific cation currents.

Steady currents that depolarize the cell to suprathreshold voltages might not guarantee spontaneous activity, however. If the resting potential were set at too depolarized a level or if depolarization were to occur too slowly, then transient sodium currents might inactivate to such an extent that spontaneous firing would not persist. Additionally, firing might fail to occur if small depolarizations were to recruit large opposing currents, such as low-threshold potassium currents.

Neurons of the cerebellar nuclei are spontaneously active in semi-intact preparations and fire regularly in resting animals in vivo (Thach, 1968; Jahnsen, 1986a; McDevitt et al., 1987; Llinás and Mühlethaler, 1988; Mouginot and Gähwiler, 1995; Czubayko et al., 1998; Aizenman and Linden, 1999). To our knowledge, however, no voltage-clamp studies have been published of the intrinsic currents that produce the firing patterns of these neurons. The spontaneous activity of cerebellar nuclear neurons is particularly interesting because they are the primary targets of Purkinje neurons, which not only are inhibitory (Ito et al., 1970), but themselves fire spontaneous high-frequency action potentials (~50 Hz; Häusser and Clark, 1997; Nam and Hockberger, 1997; Raman and Bean, 1997). Thus the observed spontaneous firing of cerebellar nuclear neurons apparently persists even during what must be a considerable barrage of inhibition.

To characterize the intrinsic ionic currents of these cells, we recorded voltage-clamped ionic currents and action potentials of large neurons isolated from cerebellar nuclei of mice. Our results suggest that firing persists despite a low availability of TTX-sensitive sodium current and that small hyperpolarizations can recruit a substantial proportion of sodium channels. Neither TTX-sensitive persistent sodium current nor voltage-gated calcium currents nor I_h appears to be necessary to depolarize the neurons above threshold voltages. Instead, a tonic, voltage-independent, TTX-insensitive cation current, carried mainly by sodium ions, dominates the interspike interval. This small but potent cation current, transient TTX-sensitive currents, and high-threshold TEA-sensitive potassium currents appear to interact to allow regular firing to persist in isolated cerebellar nuclear neurons.

	MATERIALS AND METHODS

TOP ABSTRACT INTRODUCTION MATERIALS AND METHODS RESULTS DISCUSSION REFERENCES

Preparation of isolated neurons. Neurons from the cerebellar nuclei were isolated from 10- to 17-d-old pigmented mice, either Black Swiss (Taconic Farms, Germantown, NY) or C57BL6 (Charles River, Wilmington, MA). Control experiments were performed on neurons from the ventral cochlear nucleus from age-matched mice. Cells were dissociated according to techniques adapted from Raman and Trussell (1992). Animals were anesthetized with methoxyflurane and decapitated. On a vibroslicer, parasagittal cerebellar slices (or cochlear nuclear slices) were cut in control Tyrode's solution, which contained (in mM) 150 NaCl, 4 KCl, 2 CaCl₂, 2 MgCl₂, 10 HEPES, and 10 glucose, pH 7.4 (adjusted with NaOH; final sodium concentration of 155 mM). The slices were incubated for 20 min at 31°C in MEM (Life Technologies, Gaithersburg, MD) with (in mM) 10 HEPES, 1 cysteine, and 0.5 EDTA, pH 7.2, to which 40 U/ml papain (Worthington, Lakewood, NJ) had been added. After enzymatic treatment the slices were washed in MEM-HEPES to which 1 mg/ml trypsin inhibitor and 1 mg/ml bovine serum albumin had been added. Under the dissecting microscope the cerebellar nuclei were visible as the cell body-rich regions at the core of several slices. Cerebellar nuclei were dissected out of the slices with fine tungsten needles, and the tissue chunks were triturated with a series of fire-polished Pasteur pipettes to liberate both "large" and "small" cerebellar nuclear neurons. The large cells (15-25 µm in soma diameter) are likely to be the glutamatergic neurons that project to the red nucleus and ventral thalamus (Bentvoglio and Kuypers, 1982; Gonzalo-Ruiz et al., 1988; Teune et al., 1995, 1998; Shinoda et al., 1997). The small cells (5-10 µm in soma diameter) are likely to be inhibitory neurons that project to the inferior olive (Nelson and Mugnaini, 1989; Fredette and Mugnaini, 1991; Ruigrok, 1997). All cerebellar nuclear recordings were made from large neurons. For the ventral cochlear nucleus the entire nucleus was dissected from the brainstem, minced, and triturated. Bushy cells (~15 µm diameter) were identified by their characteristic tear-shaped cell body and short dendritic tuft (Cant and Morest, 1979). The morphology of each cell was archived with a Scion Image frame grabber system (Research Biochemicals, Natick, MA).

Electrophysiological recordings. Current-clamp recordings were made with a BVC700 amplifier (Dagan, Minneapolis, MN). Voltage-clamp recordings were made with an Axopatch 200B amplifier (Axon Instruments, Foster City, CA), and series resistance was compensated by ~90%. Voltage steps as well as waveforms of prerecorded trains of action potentials were used as command waveforms (Llinás et al., 1982; McCobb and Beam, 1991; Raman and Bean, 1997, 1999). Data were recorded with an Instrutech ITC-18 interface (Great Neck, NY) and analyzed with PULSE and IGOR software.

Borosilicate pipettes (1-3 M for voltage-clamp experiments; 4-6 M for current-clamp experiments) were wrapped with Parafilm to minimize the pipette capacitance. Pipette as well as cell capacitance was neutralized further by using the amplifier circuitry. Pipettes were filled with one of two intracellular solutions. A physiological intracellular solution contained (in mM) 122 KCH₃O₃S, 9 EGTA, 9 HEPES, 1.8 MgCl₂, 15 sucrose, 14 Tris-creatine PO₄, 4 Mg-ATP, and 0.3 Tris-GTP buffered to pH 7.4 with KOH, for a final K⁺ concentration of 154 mM. This internal solution was used for all recordings, except as noted. In a few experiments, 5 mM KCl substituted for 5 mM KCH₃SO₃. This more physiological chloride concentration had no detectable effects on firing rate or current kinetics. A CsCl-based solution contained (in mM) 117 CsCl, 9 EGTA, 9 HEPES, 1.8 MgCl₂, 14 Tris-creatine PO₄, 4 Mg-ATP, and 0.3 Tris-GTP, buffered to pH 7.4 with CsOH. This solution was used for step command voltage-clamp experiments that involved pharmacological isolation of TTX-sensitive sodium currents (see Figs. 3, 5A,B).

The control physiological extracellular saline for action potential recordings and most voltage-clamp recordings was control Tyrode's solution. For experiments that required the blockade of calcium channels, Co Tyrode's solution was used, in which 2 mM CoCl₂ replaced 2 mM CaCl₂. For the experiments requiring low external sodium (see Figs. 10, 11), NMDG-Tyrode's solution was used, in which 150 mM N-methyl-D-glucamine-Cl replaced 150 mM NaCl. The NMDG-Tyrode's was buffered with NaOH, for a final sodium concentration of 6 mM. NMDG-Tyrode's and control Tyrode's had the same osmolarity, and there was no junction potential between them. Other blockers, such as TTX (900 nM), TEA (1 mM), or CsCl (2 mM), were added to Ca, Co, or NMDG-Tyrode's as needed. The IC₅₀ for TTX blockade of transient voltage-gated sodium currents was 10 nM (data not shown). We therefore used 900 nM TTX in all experiments requiring blockade of both transient and persistent voltage-gated sodium currents, and we use the phrase "TTX-sensitive sodium currents" to refer to currents blocked by 900 nM TTX.

For voltage-clamp measurements of TTX-sensitive sodium currents evoked by voltage steps (see Figs. 3, 5A,B), the external solution (50 mM NaCl) contained (in mM) 50 NaCl, 110 TEA-Cl, 10 HEPES, and 2 CoCl₂, buffered to pH 7.4 with NaOH.

The different external solutions were applied through gravity-driven flow pipes, and the solution bathing the cell was controlled by positioning the cell in front of the desired pipe. Thus, an experimental protocol could be performed in a control solution and repeated in a solution containing a toxin or blocking agent; for voltage-clamp experiments, subtraction of the records gave the current sensitive to the blocker. The quality of the voltage clamp was considered adequate if the current-voltage relation for TTX-sensitive currents, measured with 2 mV increments, was smooth and if no outward current was evident in the TTX-subtracted records (Raman and Bean, 1999).

Voltage-current relations were measured in current clamp with 400 msec current injections given in 10 pA increments, usually from 100 to 100 pA. For steps that did not elicit action potentials and that brought the membrane potential between 70 and 120 mV, the mean voltage was measured between 290 and 390 msec after the current step. Input resistances were estimated from linear fits to the plots of mean voltage against current.

All recorded voltages were corrected for junction potentials measured for each internal solution. Recordings were made at room temperature. All chemicals were obtained from Sigma (St. Louis, MO) except muscarine and ACPD, obtained from Research Biochemicals (Natick, MA). Data are reported as mean ± SE. Statistical comparisons were made with Student's paired t tests, except as noted, and p values are reported.

	RESULTS

TOP ABSTRACT INTRODUCTION MATERIALS AND METHODS RESULTS DISCUSSION REFERENCES

Isolated cerebellar nuclear cells had a variety of morphologies but generally could be classified by size and dendritic structure. Large neurons tended to have cell bodies that were 15-25 µm in diameter (Fig. 1A). Many had three or four primary dendrites, resembling the "large multipolar neurons" of Chan-Palay (1977). Other isolated large neurons resembled the "large cascade neurons" and "large columnar neurons" (Chan-Palay, 1977), the dendrites of which tend to be oriented in a single direction. Small neurons (5-10 µm in soma diameter) also were released by the cell isolation procedure. These neurons are likely to be the inhibitory neurons that project to the inferior olive (Nelson and Mugnaini, 1989; Fredette and Mugnaini, 1991; Ruigrok, 1997). As described in Materials and Methods, the present experiments were limited to the large cerebellar nuclear neurons, which had similar electrophysiological properties.

View larger version (47K): [in this window] [in a new window]   Figure 1.   Spontaneous firing of neurons isolated from the cerebellar nuclei. A, Representative isolated cerebellar nuclear neurons. Scale bar, 20 µm. B, Spontaneous action potentials recorded from each of the six cells in A, all plotted on the same scale. Records are from cells in the corresponding positions in A. C, Histogram showing the distribution of firing frequencies in all of the cells that were tested (n = 50).

Action potentials of isolated cerebellar nuclear neurons

Our first interest was to compare the firing properties of isolated cerebellar nuclear cells with those of neurons in more intact preparations. Under whole-cell current clamp in normal physiological saline, the majority of neurons fired regular trains of action potentials in the absence of current injection (50 of 57 cells). This spontaneous firing also was observed in the cell-attached patch configuration. Figure 1B illustrates spontaneous action potentials recorded from each cerebellar nuclear neuron in Figure 1A. The mean firing frequency of spontaneously active neurons was 18.3 ± 1.7 Hz (n = 50; Fig. 1C). Action potentials reached peaks of 23 ± 1.3 mV and had only moderately hyperpolarized troughs of 59 ± 0.7 mV (n = 50). The spontaneous firing rates and action potential waveforms were similar to those in semi-intact preparations. Specifically, mean firing rates near 20 Hz, as well as interspike trough potentials 20-30 mV positive to E_K, have been reported in acute slices, slice cultures, and brainstem-cerebellar preparations (Jahnsen, 1986a,b; Llinás and Mühlethaler, 1988; Mouginot and Gähwiler, 1995; Aizenman and Linden, 1999). These similarities suggest that the basic pacemaking mechanism may be conserved in the isolated cell preparation, although specific differences in the firing properties of isolated and intact cells are discussed below.

Spontaneously active neurons continued to fire during injection of small hyperpolarizing currents up to ~50 pA, as shown in Figure 2A. In slice studies, quantitatively similar results have been obtained with patch electrodes (Czubayko et al., 1998) and qualitatively similar results with microelectrodes (Aizenman and Linden, 1999). The frequency-intensity relations were linear, with slopes of 0.4 ± 0.06 Hz/pA and correlation coefficients ranging from 0.83 to 0.9997 (n = 19; Fig. 2A).

View larger version (39K): [in this window] [in a new window]   Figure 2.   Firing patterns evoked by current injections. A, Top, Spontaneous firing and responses to steady injections of hyperpolarizing current, as labeled, of a single neuron. A, Bottom, Firing frequency versus injected current for the same neuron; R2 = 0.9997. B, Responses of a different neuron to depolarizing and hyperpolarizing current steps. First panel, Depolarization block elicited by a 50 pA depolarizing step. Second panel, Increased firing rate with a 20 pA depolarizing step. Third panel, Input resistance (672 M), as measured with hyperpolarizing current steps. For clarity, not all of the traces that were used to calculate input resistance are shown. The arrow indicates depolarizing sag. Fourth panel, Current steps. C, Firing frequency versus input resistance for seven "silent" neurons (filled symbols) and 36 spontaneously firing cells (open symbols). Firing frequency of spontaneous cells did not correlate with input resistance (line, R2 = 0.0008). D, Resting potential of a silent neuron (35 mV) and regular firing induced by a 20 pA injection of steady hyperpolarizing current.

In response to small depolarizing current steps, the cells increased their firing rates (Fig. 2B, middle trace), although the amplitude of successive spikes often decreased during a step. Thirteen of 35 cells continued to fire with current injections up to 200 pA. In the other 22 cells, depolarizing current steps often led to a few action potentials in rapid succession, followed by cessation of firing (Fig. 2B, top trace). The current amplitude that produced this depolarization block averaged 87 ± 12 pA. During block, the membrane potential settled at 28.8 ± 1.5 mV. On termination of the step many cells remained at this plateau potential until the membrane was actively hyperpolarized by current injection (data not shown). In general, the isolated neurons seemed more disposed to depolarization block than neurons in slices, which have been reported to fire at a few hundred Hertz in response to current injection before settling at plateau potentials (Jahnsen, 1986a; Aizenman and Linden, 1999). This difference may be attributable in part to a lower channel density in the isolated cells, possibly from the loss of distal dendrites or axons during the dissociation procedure or from the age of the animals that were used. Consistent with smaller total currents in isolated cells, the rate of rise of action potentials of isolated cerebellar nuclear neurons was approximately fourfold lower (see below) than that measured in slices from adult guinea pigs (~400 V/sec; Jahnsen, 1986a). The lower temperature of the recordings also may have reduced the maximal measured spike rate in isolated cells.

Application of hyperpolarizing current steps such as those of Figure 2B allowed for the estimation of the input resistances of the neurons. The mean input resistance measured between 70 and 120 mV was 632 ± 40 M (n = 36). This value is similar to that measured in rat cerebellar slices with patch electrodes (160-1900 M; Czubayko et al., 1998), but it is ~10-fold greater than that measured in slices with intracellular microelectrodes (Jahnsen, 1986a; Aizenman and Linden, 1999). The firing frequency did not correlate with input resistance, as shown in Figure 2C (open circles).

Some neurons were not spontaneously active but rested at relatively depolarized potentials of 34 ± 2 mV (n = 7). Our initial concern was that these "silent" neurons might have become damaged and "leaky" during the isolation procedure. As shown in Figure 2C, however, silent neurons had input resistances indistinguishable from those of spiking neurons. In silent neurons, the input resistance measured between 70 and 120 mV was 699 ± 78 M (n = 7; p = 0.5, unpaired t test with spontaneous cells), making it seem unlikely that the cells were unhealthy in this respect. Moreover, silent cells could be induced to fire regular trains of action potentials by the injection of steady hyperpolarizing currents of 10 to 60 pA, as illustrated in Figure 2D. These cells showed the same patterns of response to superimposed depolarizing current steps as spiking cells. In general, silent cells resembled spiking cells that already had reached a state of depolarization block. Occasionally, during the course of a recording an initially spontaneously active cell could depolarize slightly and become silent or hyperpolarize slightly and measurably reduce its firing rate.

Under the recording conditions of Figures 1 and 2, both E_K and E_Cl were near 90 mV. Therefore, the relatively shallow interspike troughs of spiking cells and depolarized resting potentials of silent cells, as well as the maintenance of firing during small hyperpolarizing current injections, suggest that inward currents are significantly active between spikes or at rest. To identify the currents that are likely to be active during spontaneous firing, we recorded voltage-clamped intrinsic currents of cerebellar nuclear neurons.

TTX-sensitive sodium currents

TTX-sensitive, voltage-gated transient sodium currents underlie action potentials in nearly all central neurons that have been studied. Additionally, components of TTX-sensitive sodium current that are less susceptible to inactivation appear to drive spontaneous action potentials in several cell types (Pennartz et al., 1997; Feigenspan et al., 1998; Bevan and Wilson, 1999; Raman and Bean, 1999). Furthermore, current-clamp studies have led to the suggestion that cerebellar nuclear neurons have a TTX-sensitive persistent sodium conductance that facilitates repetitive firing (Jahnsen, 1986a; Llinás and Mühlethaler, 1988). Such a current also might lead some cells to rest near 35 mV. We therefore recorded TTX-sensitive currents in isolated cerebellar nuclear neurons, with an interest in two general questions. First, how do the inactivation and recovery kinetics of TTX-sensitive currents interact to maintain firing? Second, how much TTX-sensitive current is active in the interspike interval, and is it crucial to depolarize neurons above threshold?

The first set of experiments was performed with solutions that facilitate the measurement of sodium currents, namely, intracellular CsCl and reduced extracellular sodium (50 mM NaCl). A family of TTX-sensitive currents evoked by step depolarizations from 90 mV is illustrated in Figure 3A, along with the corresponding peak current-voltage relation in Figure 3B. Extrapolation of the linear portion of the current-voltage relation, generally at potentials equal to or greater than 5 mV, allowed the estimation of the reversal potential (Fig. 3B, solid line). Normalization of the peak current by the driving force allowed the conversion of these data to conductances (Fig. 3C, open symbols). Boltzmann fits to the data from each cell gave a voltage of half-maximal activation of 34.8 ± 2.2 mV and slope factor of 6.0 ± 0.6 mV (n = 5). Steady-state inactivation was assessed with 200 msec conditioning pulses, followed by test depolarizations to 0 mV. The resulting availability curve also is plotted in Figure 3C (closed symbols). Boltzmann fits estimated half-inactivation at 68.6 ± 1.5 mV, with a slope factor of 5.7 ± 0.3 mV (n = 5).

View larger version (30K): [in this window] [in a new window]   Figure 3.   TTX-sensitive sodium currents elicited by step depolarizations. A, TTX-sensitive sodium currents evoked by step depolarizations from 90 mV in 2 mV increments. For clarity, only alternate traces are shown positive to 20 mV. B, Peak current versus voltage relation of traces in A. Solid line is a straight line fit to the linear portion of the curve from which the reversal potential, Vrev, was extrapolated. C, Conductance-voltage relation (open symbols) and steady-state availability curve (closed symbols) for the neuron for which the responses are illustrated in A. Activation data were fit as G = Gmax/(1 + exp [ (V  Vhalf)/k]), where Gmax is the maximal conductance, Vhalf is the half-maximal activation voltage, and k is the slope factor. Inactivation (availability) data were fit as the % availability = 100/(1 + exp [(V  Vhalf)/k]), where the percentage of availability is the current evoked at 0 mV after a 200 msec conditioning step that is normalized by the maximal current evoked at 0 mV after conditioning at 90 mV, Vhalf is the half-maximal inactivation voltage, and k is the slope factor. Parameters of the fits are indicated on the plot. D, Recovery from inactivation of TTX-sensitive sodium currents. The variable recovery interval at 65 mV, t, ranged from 2 to 68 msec, in 3 msec increments. In this and all other figures of currents, the horizontal dashed line indicates 0 pA. E, Time course and extent of recovery of transient current shown in D. The peak current evoked by the test step to 0 mV was normalized to the peak current evoked by the conditioning step to 0 mV and was plotted against the recovery interval. Data were fit with a single exponential that estimated a maximum of 48% recovery, with a time constant of recovery, , of 12.2 msec.

The availability of transient sodium currents before each action potential depends on at least two factors: the steady-state availability at interspike potentials and the time course of recovery from inactivation that accumulates during each spike. Using standard step protocols, we measured recovery from inactivation at 65 mV. Cells were held at 90 mV to promote maximal availability of sodium channels. Then a 5 msec conditioning step to 0 mV was applied to inactivate the channels. After a variable interval at 65 mV, recovery was assessed with a test pulse to 0 mV (Fig. 3D,E). Currents recovered by 54 ± 5% (n = 4), consistent with the prediction from the steady-state availability curve, with a mean time constant of recovery of 11.4 ± 1.9 msec.

Because the neurons have a minimum interspike potential near 60 mV and a mean interspike interval of ~50 msec, these kinetic properties suggest that spontaneously firing neurons may operate with considerably <50% availability of TTX-sensitive channels. To obtain a more direct measure of the TTX-sensitive currents active during firing, we elicited currents with a spike-train command waveform consisting of 10 prerecorded action potentials. The waveform was chosen to approximate the mean firing rate (18 Hz) and trough potentials (65 mV) of the population of neurons that we studied. Unlike the experiments of Figure 3, these recordings were made with physiological intracellular and extracellular solutions (KCH₃O₃S and control Tyrode's ± TTX). Under these conditions both inward and outward currents are large (often >10 nA) and fast (rising in <1 msec), making it difficult to obtain adequate clamp in many cells. Nevertheless, in four neurons we were able to achieve a high-quality voltage clamp, assessed by the accurate subtraction of outward current in the TTX-subtracted records (Raman and Bean, 1999).

Cells were held at 68 mV in the 2 sec interval between spike-train commands. Holding at this voltage predicts a 50% availability of sodium channels before the application of the spike-train command. Therefore, the peak sodium current elicited by the first spike command provides an estimate of the current arising from 50% of the channels. Figure 4A illustrates that the peak TTX-sensitive current diminished with the first four or five successive spike commands, suggesting a cumulative inactivation. Because the initial availability was ~50%, the availability just preceding the fifth spike is probably <50%. After the fifth spike command, however, each spike command elicited a relatively constant amount of transient current. This result suggests that, after the fifth depolarization, inactivation during the spike command was equivalent to recovery between spike commands, such that a constant availability was achieved before each successive spike command.

View larger version (33K): [in this window] [in a new window]   Figure 4.   TTX-sensitive sodium currents evoked with spike-train command waveforms. A, Top, Voltage-clamp command waveform, consisting of a prerecorded train of spontaneous action potentials with average frequency, peak potential, and trough potential. A, Bottom, Mean TTX-sensitive current elicited by five spike-train commands. The intersweep holding potential was 68 mV for 2 sec. B, Top, Resumption of spontaneous firing after release from voltage clamp at 68 mV. B, Bottom, Differentiation of the current-clamp record, showing the decrease in peak dV/dt of each spike over the first 10-15 action potentials. C, Top, The ninth action potential waveform of the spike-train command (A), with (thin trace) and without (bold trace) a 10 mV DC hyperpolarization. C, Bottom, TTX-sensitive current evoked by the control (thin trace) and DC-shifted (bold trace) voltage command. This is a different cell from A.

A complicating factor in this analysis, however, is that the spike-train command that we used is unlikely to correspond exactly to the natural firing frequency of each cell. Consequently, if the spontaneous action potentials differ from the spike command depolarizations in rate or waveform, we might overestimate (or underestimate) the level of inactivation of TTX-sensitive currents before each spike during (unclamped) firing. To estimate this extent of inactivation in another way, we voltage-clamped neurons (using the bridge amplifier; see Materials and Methods) for 1-2 sec at 68 mV to promote a 50% availability of TTX-sensitive currents. Then we released the voltage clamp, recorded the onset of spontaneous firing, and calculated the time derivative of the voltage changes (dV/dt), which should be proportional to the underlying ionic current (Fig. 4B). The maximal rate of rise of the action potentials (dV/dt) decreased by 53 ± 5% over the first few action potentials before reaching a steady level of 110 ± 16 V/sec (n = 8). Multiplying the measured dV/dt of 110 V/sec by the average cell capacitance of ~20 pF predicts an underlying ionic current of 2.2 nA. This value is somewhat greater than, but within the range of, the amplitude of transient TTX-sensitive currents (1.3 ± 0.4 nA; n = 4) that we measured late in the spike-train commands. Together, the voltage- and current-clamp results support the idea that the sodium channel availability preceding each spike is <25%.

This apparently low availability raises the possibility that steady hyperpolarization might recruit a significant number of sodium channels. To examine this idea, we evoked TTX-sensitive currents with the spike-train command, with and without a 10 mV hyperpolarizing DC shift. The peak current evoked by the ninth spike command occurred at 5.5 mV with the control waveform and at 1.5 mV with the DC-shifted waveform, 150 and 200 µsec after the maximal dV/dt of the respective waveforms. Dividing the peak current by the driving force (from the empirically determined reversal) showed that the control waveform elicited a peak transient conductance of 3.6 nS, compared with 22 nS for the DC-shifted waveform (Fig. 4C). These values correspond to ~3.5 and 20%, respectively, of the total TTX-sensitive conductance of this neuron, estimated with step depolarizations from 90 to 0 mV. In a second cell the control and the DC-shifted waveforms evoked 2 and 12.5%, respectively, of the total TTX-sensitive conductance of the cell. Thus, a 10 mV hyperpolarization produced an approximately sixfold increase in conductance. This increase is likely to result in part from the greater maximal availability at more negative potentials and in part from the increase of recovery rate with hyperpolarization (Hodgkin and Huxley, 1952; Kuo and Bean, 1994).

The same set of experiments allowed us to study steady-state or long-lasting sodium currents. This component of TTX-sensitive current was measured after the decay of transient currents (90-200 msec after the onset of each step depolarization). In 50 mM NaCl the steady current was 22 ± 5 pA at 60 mV, and 50 ± 16 pA at 30 mV (n = 7; Fig. 5A). The channels responsible for this current may include (1) true persistently active channels (Llinás and Sugimori, 1980; French et al., 1990; Kay et al., 1998; Magistretti et al., 1999a,b), (2) inactivating channels in noninactivating gating modes (Patlak and Ortiz, 1986; Alzheimer et al., 1993; Crill, 1996), and (3) inactivating channels with some equilibrium occupancy of an open state (Patlak and Ortiz, 1986; Raman et al., 1997). The total TTX-sensitive current that is active in the interspike interval, therefore, will depend on the amount of inactivation that may occur during a spike. Specifically, if most of the long-lasting current measured with voltage steps arises from a channel capable of fast inactivation, the TTX-sensitive current flowing between spikes may be less than that predicted by depolarizations to the interspike potential. Conversely, if most of the current arises from a persistently active channel, the interspike TTX-sensitive current should be approximately equivalent to that measured with step depolarizations. We therefore examined the current flowing on repolarization to 60 or 65 mV, after 5 msec steps to 0 mV. On repolarization, two of five cells showed a small phase of resurgent sodium current (Raman and Bean, 1997), which decayed within 10 msec (Fig. 5B). The steady TTX-sensitive current in 50 mM Na⁺, after the decay of any resurgent current, was 5.1 ± 1.3 pA (n = 5), smaller than the steady-state currents elicited by step depolarizations to the same potential. These results suggest that the majority of the channels that produced steady TTX-sensitive currents in response to long depolarizing steps to 60 mV inactivated within milliseconds at more positive potentials.

View larger version (36K): [in this window] [in a new window]   Figure 5.   Long-lasting TTX-sensitive sodium currents. A, Top, TTX-sensitive sodium currents evoked by step depolarizations from 90 mV in 10 mV increments. A, Bottom, Current-voltage relation of the mean steady-state current measured between 90 and 100 msec (within the dashed box of the top panel). This is the same record as Figure 3A. B, Mean of the last three traces in Figure 3D, with recovery intervals of 62, 65, and 68 msec, expanded to illustrate the TTX-sensitive current on repolarization to 65 mV. The small resurgent sodium current decayed with an exponential time constant of 12 msec to 4 pA. C, Expansion of eighth and ninth spike command and evoked currents of Figure 4A, illustrating the interspike TTX-sensitive current. D, Current-clamp records of spontaneous firing in control Tyrode's and subsequent silencing on exposure to TTX, as labeled, in one neuron. In TTX the cell rested at 42 mV.

To estimate how much TTX-sensitive sodium current flows during interspike intervals in normal concentrations of sodium ions, we examined the TTX-sensitive current that was recorded in physiological saline (Fig. 5C). This current, averaged over a 15 msec interspike interval in which the membrane potential was close to 60 mV, was 9 ± 6 pA (n = 4).

The contribution of this apparently small current to depolarizing the neuron cannot be assessed in voltage clamp. Therefore, we measured the resting potentials of current-clamped neurons for which the spontaneous firing was blocked by TTX (Fig. 5D). Surprisingly, in TTX, these neurons rested at 42 ± 2 mV (n = 15). This value is significantly more positive than either the interspike trough in the absence of TTX (61 ± 1 mV; p = 0.0000002) or threshold (49 ± 1 mV; p = 0.003), estimated as the onset of the regenerative phase of the action potential, suggesting that TTX-insensitive currents alone can depolarize neurons to potentials that normally would be suprathreshold.

Potassium and calcium currents

Calcium currents are likely candidates for depolarizing neurons in TTX to potentials near 40 mV. Therefore, to measure the effects of calcium influx on firing, we recorded from current-clamped neurons in control Tyrode's and in Co Tyrode's, in which calcium flux was blocked by complete substitution by cobalt ions. Ten of 11 spontaneously firing neurons were silenced in Co Tyrode's, resting at 52 ± 4 mV; the 11th neuron continued to fire sporadically. Although the resting potentials were somewhat more negative in Co Tyrode's than in TTX (p = 0.04, unpaired t test), silenced neurons rested above threshold (Fig. 6A), suggesting that the cessation of firing did not result from a lack of depolarizing drive. When cells were tonically hyperpolarized with small current injections, spontaneous firing did not occur, but depolarizing current steps could elicit action potentials. In Co Tyrode's, the neurons entered depolarization block even more readily than in control solutions (Fig. 6B). To quantify this effect, we measured the peak and trough of the first action potential elicited by a 40 or 50 pA depolarizing step in each solution. In Co Tyrode's, the peak amplitude of the first action potential did not change significantly relative to control, depolarizing by 0.2 ± 2 mV (n = 10; p = 0.92). In contrast, the subsequent trough depolarized by 6 ± 1 mV in Co Tyrode's (n = 10; p = 0.0005). It is possible that the shallower interspike troughs in cobalt reduce the recovery of TTX-sensitive sodium channels, which may lead to the termination of firing. The apparent loss of hyperpolarizing drive suggests that calcium-dependent currents, possibly K(Ca) currents, contribute strongly to the repolarization of action potentials.

View larger version (43K): [in this window] [in a new window]   Figure 6.   Firing patterns of neurons during blockade of calcium currents and calcium-activated currents. A, Spontaneous firing in control Tyrode's and subsequent silencing on exposure to Co Tyrode's. In Co Tyrode's the neuron rested at 37 mV. B, Responses in control Tyrode's (dotted line) and Co Tyrode's (solid line) to depolarizing current steps superimposed on a steady hyperpolarizing current. The peak amplitude of the first action potential depolarized by 9 mV in Co Tyrode's, and the trough depolarized by 7 mV. C, Spontaneous firing of a single neuron in control Tyrode's and in Tyrode's with 100 µM bicuculline methiodide (BMI). D, Firing frequencies of seven cells in control solutions and on exposure to 100 µM BMI (open symbols). Closed symbols show the mean data.

Evidence from slice studies suggests that K(Ca) channels contribute to the firing patterns of cerebellar nuclear cells (Jahnsen, 1986b; Aizenman and Linden, 1999). Specifically, the blockade of SK channels by bicuculline methiodide (BMI; Khawaled et al., 1999) can induce burst firing of cerebellar nuclear neurons in slices (Aizenman and Linden, 1999). In contrast, although application of 100 µM BMI to isolated cells modified the waveform of the interspike interval, the firing rate changed by only 1.4 ± 1.7 Hz (n = 7; p = 0.84) and never induced bursting (Fig. 6C,D). Taken together, the experiments of Figure 6 suggest that K(Ca) currents other than BMI-sensitive SK channels may participate in spike repolarization.

To study the density and kinetics of currents that might participate in spike repolarization of the isolated cells, we measured calcium and potassium currents under voltage clamp. Recordings were made with physiological internal and external solutions, but with 900 nM TTX included extracellularly. Currents were evoked by step depolarizations from 68 mV as well as by the spike-train command waveform. As shown in Figure 7A (top traces), the steps elicited large, primarily outward currents that occasionally were preceded by a small phase of inward current. The total current had a fairly high threshold for activation, with outward currents becoming detectable (>10 pA) between 45 and 35 mV (n = 7; Fig. 7B). The spike waveforms of the spike-train command also elicited primarily outward currents (Fig. 7C). Between spike commands, however, a TTX-insensitive inward current of 39 ± 14 pA (n = 7) was measurable during the ~15 msec window when the membrane potential was near 65 mV (Fig. 7D, top traces).

View larger version (31K): [in this window] [in a new window]   Figure 7.   Total TTX-insensitive currents evoked by step and spike-train voltage-clamp commands in physiological solutions. A, Top, Middle, Raw currents evoked by step depolarizations in control Tyrode's with TTX (Ca Tyr + TTX) and Co Tyrode's with TTX (Co Tyr + TTX). A, Bottom, Cobalt-sensitive currents, obtained by subtraction of the currents in the top and middle panels. B, Current-voltage relation of peak currents in A. C, Raw current elicited by the spike-train command in control Tyrode's with TTX. Intersweep holding potential was 68 mV for 2 sec; mean of five sweeps. D, Top, Expansion of current within dashed lines in C to illustrate TTX-insensitive inward current at interspike potentials. D, Middle, Currents evoked in Co Tyrode's by the spike-train command. The illustrated portion of the record corresponds to that shown in the top panel. D, Bottom, Cobalt-sensitive currents, obtained by subtraction of currents in the top and middle panels.

We performed a simple pharmacological segregation of the total currents, again excluding TTX-sensitive sodium current, by repeating recordings in the following solutions: Co Tyrode's, control Tyrode's with 1 mM TEA (TEA Tyrode's), and Co Tyrode's and 1 mM TEA (Co + TEA Tyrode's). All solutions contained TTX. Currents sensitive to cobalt, TEA, or both were obtained by subtraction. Raw currents obtained in Co Tyrode's as well as the cobalt-sensitive current are shown in Figure 7, A and D. The cobalt-resistant step-evoked currents had a slower activation time and higher activation threshold than the cobalt-sensitive currents, which include calcium and calcium-activated currents. Additionally, the inward current between spike commands was reduced by 17 ± 10 pA in Co Tyrode's (n = 4; Fig. 7D).

The cobalt-sensitive and -resistant currents each had a TEA-sensitive component (Fig. 8A,B). The step-evoked and spike-train-evoked currents are plotted on the same vertical scale to allow a comparison of the current amplitudes elicited by each protocol under each ionic condition. The top traces show the cobalt-insensitive, TEA-sensitive current. For brevity, we refer to this current as K(V)_TEA. Qualitatively, this current was a high-threshold delayed rectifier, which showed little or no inactivation during 100 msec step depolarizations. The K(V)_TEA current had a half-maximal voltage of activation of +8.6 ± 3.7 mV and slope factor of 10.6 ± 2.3 mV (n = 4; Fig. 8C). The 10-90% rise time of the current was 24 ± 4 msec at +12 mV (n = 4). Despite the relatively slow activation kinetics, K(V)_TEA accounted for 51 ± 3% of the current evoked by the spike-train command.

View larger version (28K): [in this window] [in a new window]   Figure 8.   Potassium currents pharmacologically isolated with cobalt substitution and 1 mM TEA. A, B, Currents evoked by step and spike-train voltage-clamp commands (top panels). Time scale bars in A and B apply to all panels in A and B, respectively. Vertical scale bars in B apply to the corresponding panels in A. Currents evoked by spike-train commands are the mean of five traces. Intersweep holding potential was 68 mV for 2 sec. This is a different cell from Figure 6. Top trace, Calcium-independent current, sensitive to 1 mM TEA, also referred to as K(V)TEA. Middle traces, Calcium-dependent current, sensitive to 1 mM TEA, also referred to as K(Ca)TEA. Bottom trace, Calcium-dependent current, resistant to 1 mM TEA (including calcium and calcium-activated potassium currents). Note that little outward current is measured between spike commands in response to the spike-train protocol. C, Conductance-voltage relation for peak K(Ca)TEA currents (filled symbols) and peak K(V)TEA currents (open symbols). Data were fit with Boltzmann equations as in Figure 3B, and the estimated parameters are indicated in the plot.

The middle panels in Figure 8, A and B, illustrate the TEA-sensitive, calcium-dependent current, which we refer to as K(Ca)_TEA and which was obtained by subtracting the K(V)_TEA currents from the total TEA-sensitive current. This current had a half-maximal activation voltage of 14.3 ± 3.8 mV and a slope factor of 7.9 ± 0.7 mV (n = 4; Fig. 8C). At 12 mV, the current had an inactivating component with an exponential decay time constant of 12.3 ± 3.5 msec. The extent of inactivation varied greatly, from 38 to 91%, suggesting that there may be multiple components of K(Ca)_TEA.

Together, the TEA-sensitive currents accounted for 57 ± 5% of the maximal outward current elicited by a step from 68 mV to +20 mV (n = 7). In five of seven cells, however, TEA blocked all of the outward current elicited by the spike-train command. In the other two cells, TEA-sensitive currents accounted for 85 and 87% of the outward spike command-evoked current. On repolarization by the spike command, the total TEA-sensitive currents decayed with an exponential time constant of 2.0 ± 0.8 msec (n = 7).

Subtractions of the records obtained in Co + TEA Tyrode's from those in TEA Tyrode's allowed the isolation of calcium current plus any 1 mM TEA-insensitive K(Ca), visible as an inward current followed by an outward current. Six of seven cells showed such a TEA-insensitive K(Ca) of 348 ± 68 pA net current at +20 mV (Fig. 8A, bottom traces). The seventh cell had an unusually large TEA-insensitive K(Ca) of 2 nA net current at +20 mV. As mentioned above, this outward current was elicited infrequently by the spike-train command (in two of seven cells, accounting for <15% of the outward current). More often, only the inward phase of calcium current was apparent (Fig. 8B, lowest panel).

I_h and other cation currents

Although TTX-sensitive sodium flux and calcium flux are crucial for firing, our data suggested that neither class of currents dominates depolarization of the neurons to suprathreshold voltages. Because an inward current of approximately 25 pA at 60 mV persisted in solutions containing both TTX and cobalt and because currents of this amplitude were sufficient to influence action potential firing in current-clamped neurons, we examined this residual current in more detail. We considered three possibilities. First, the current might be an I_h that was partly activated at approximately 65 mV, in which case we expect it to be blocked by external cesium and to show increasing activation with hyperpolarization. Second, the current might be a nonspecific leak current between the patch electrode and the cell, in which case we expect it to be insensitive to ion substitution and to reverse near 0 mV. Third, the current might result from another type of cation channel that has some permeability to sodium, in which case we expect it to be sensitive to replacement of sodium ions by a less permeant ion.

We began by studying I_h. In current-clamped neurons in physiological solutions, hyperpolarizing current steps to potentials more negative than 100 mV often evoked the depolarizing sag usually associated with I_h (n = 29 of 45 cells; see Fig. 2B, bottom traces, arrowhead). Other cells showed no I_h, even at these very negative potentials (n = 16). These observations suggest a low density of somatic I_h as well as a relatively negative voltage dependence of I_h activation. Consistent with this idea, recordings from cerebellar nuclear neurons in slices show a similarly negative hyperpolarization-evoked sag and occasionally no sag at all (Jahnsen, 1986a; Aizenman and Linden, 1999).

To investigate the properties of I_h directly, we recorded the current under voltage clamp. In physiological intracellular solutions and extracellular control Tyrode's with TTX, neurons were clamped at 48 mV, and 500 msec step hyperpolarizations were applied. A small inward current activated slowly at potentials negative to 90 mV and was blocked by 2 mM CsCl. Cesium-sensitive current is shown in Figure 9A (top traces). The amplitude of this current after 400-500 msec at 120 mV was 29 ± 8 pA (n = 6; Fig. 9B).

View larger version (27K): [in this window] [in a new window]   Figure 9.   Ih in cerebellar nuclear neurons and in bushy cells of the ventral cochlear nucleus. A, Currents were elicited by 500 msec hyperpolarizing steps from 48 mV in 10 mV increments. Ih was isolated by subtraction of the records in Tyrode's with 2 mM CsCl from those in control Tyrode's. A, Top traces, Cesium-sensitive current recorded from a cerebellar nuclear neuron (CbN). A, Bottom trace, Cesium-sensitive current recorded in a bushy cell from the ventral cochlear nucleus (VCN). B, Mean current between 400 and 500 msec versus voltage for cerebellar nuclear neurons (filled circles; n = 6) and ventral cochlear nuclear neurons (open triangles; n = 5). Five times the mean current for cerebellar nuclear neurons is plotted for comparison (5× CbN, open circles).

At least three factors may lead us to underestimate the density of I_h in cerebellar nuclear neurons. First, in some neurons, I_h is expressed preferentially in distal dendrites (Magee, 1998; Williams and Stuart, 2000), which are reduced in the dissociated cell preparation. Second, I_h channels have been shown to be sensitive to enzymatic cleavage by trypsin (Budde et al., 1994), although the current has been recorded successfully in some papain-dissociated cells (Tabata and Ishida, 1996). Third, the voltage dependence of I_h can be modulated by intracellular cAMP (Lüthi and McCormick, 1999), which may be submaximal under our recording conditions.

As a control for the effects of papain as well as for our recording conditions, we isolated bushy cells from the ventral cochlear nucleus of age-matched mice. The dissociation procedure was identical to that for cerebellar nuclear neurons. These neurons were selected as a control because they are known to have I_h, despite their limited dendritic arbor (Cant and Morest, 1979; Oertel, 1983). In all of the cells, an inward cesium-sensitive current was evoked on hyperpolarization. The cesium-sensitive current amplitude after 400-500 msec at 120 mV was 146 ± 36 pA (n = 5; Fig. 9A,B), approximately five times the amplitude in cerebellar nuclear neurons. Although these data do not rule out a reduced current density as a consequence of the dissociation procedure in either cell type, they support the idea that cerebellar nuclear neurons have a relatively low density of somatic I_h. Additionally, the slow activation kinetics and negative voltage dependence in these cells suggest that I_h is unlikely to dominate the inward current active at interspike potentials (mean current 3 ± 0.9 pA at 58 mV; n = 5).

To test the ion selectivity of the small tonic current, we applied step hyperpolarizations from 58 mV to cells that were exposed first to control Tyrode's + TTX (155 mM Na⁺) and then to NMDG-Tyrode's + TTX (6 mM Na⁺; see Materials and Methods). The resulting currents were small and linear. Reducing external sodium ions significantly reduced the steady currents at all potentials (Fig. 10A). The extrapolated reversal potential was shifted negatively by 20 ± 2.3 mV, from 34 ± 2.5 mV in normal sodium to 54 ± 1.4 mV in low sodium (n = 8; p = 0.00005; Fig. 10B,C). The reversal potential in normal sodium is close to the resting potentials of current-clamped neurons exposed to TTX. Additionally, the slope decreased to 67 ± 6% of control. Repeating the experiments with 2 mM Cs⁺ added to the control Tyrode's and NMDG-Tyrode's solutions produced similar results. With cesium present the reversal potential was shifted negatively by 24 ± 6 mV, from 5.2 ± 4.6 to 30 ± 2.7 mV (n = 6; p = 0.01; Fig. 10B), and the slope became 60 ± 10% of control. When currents were evoked by the spike-train command in NMDG-Tyrode's (containing TTX), the interspike current was reduced to near 0 pA in NMDG-Tyrode's (Fig. 10D). Thus the standing current near 60 mV and at interspike potentials appears to be ion-selective, with some permeability to Na⁺. This result suggests that it may be carried through an ion channel (or channels) rather than being a nonselective leak between electrode and cell. The reversal near 35 mV, as well as the 20 mV shift of reversal with ~25-fold reduction in Na⁺, suggests that other ion(s) also may permeate the putative channel.

View larger version (30K): [in this window] [in a new window]   Figure 10.   Reduction of TTX-insensitive steady inward current in low-sodium solutions. A, Raw currents evoked by 250 msec step hyperpolarizations. Holding potential is 58 mV. A, Left traces, Currents elicited in control Tyrode's with TTX. A, Right traces, Currents elicited in NMDG-Tyrode's with TTX. Scale bars apply to both panels. Shown are data from one cell. B, Current-voltage relations of mean currents in each panel of A (circles) as well as currents evoked by the same protocol in the same cell, recorded in solutions containing 2 mM CsCl (triangles). The lines indicate linear regression over the points, with (dashed lines) and without (solid lines) cesium present. C, Mean extrapolated reversal potential of currents analyzed as in B, in high (155 mM) and low (6 mM) sodium solutions (n = 8). D, Raw currents elicited by the spike-train command in control Tyrode's with TTX (top trace) and in NMDG-Tyrode's with TTX (bottom trace). Intersweep holding potential was 68 mV for 2 sec; mean of five sweeps.

Cationic fluxes have been described in hippocampal interneurons (McQuiston and Madison, 1999a,b) and pyramidal neurons (Guérineau et al., 1995). In both of these cell types, cationic currents contribute to afterdepolarizations, vary with the concentration of external sodium ions, and can be enhanced by muscarine and/or ACPD. Measured with the step hyperpolarizations shown in Figure 10, however, the tonic current of cerebellar nuclear cells was unchanged by 3 min exposures to muscarine (40 µM; n = 5) or ACPD (50 µM; n = 2). It also was unaffected by 8-Br cAMP (50 µM; n = 5), 8-Br cGMP (50 µM; n = 4), or benzamil (50 µM; n = 5), a blocker of the Na/Ca exchanger (data not shown). Finally, although the extrapolated reversal potential of the current suggests a cation nonselectivity, we considered the possibility that the channel belonged to the bNaC family of amiloride-sensitive, voltage-independent sodium channels (Canessa et al., 1994; García-Añoveros et al., 1997; Benos and Stanton, 1999). Amiloride (100 µM) affected neither spontaneous firing nor resting potentials measured in TTX, however (n = 5; data not shown).

Ionic determinants of the resting potential and interspike depolarizations

We could not assess directly the contribution of the tonic TTX-insensitive flux to spontaneous activity by reducing the external Na⁺ concentration, because replacement of Na⁺ by NMDG also substantially reduced the amplitude of the TTX-sensitive sodium currents. Instead, we tested the contribution of various fluxes to the resting potentials measured in TTX. First, we recorded the spontaneous firing of neurons in control Tyrode's. Next, we silenced the cells with TTX and measured their resting potentials. Finally, we recorded any changes in resting potential as each cell was exposed to one or more of the following solutions, each containing TTX: (1) NMDG-Tyrode's, (2) Co Tyrode's, or (3) control Tyrode's with 2 mM CsCl. The only manipulation that significantly changed the resting potential was exposure to NMDG-Tyrode's (Fig. 11A,B), which hyperpolarized cells by 22 ± 2.8 mV, to 61 ± 3 mV (n = 9; p = 0.00005). In contrast, Co Tyrode's with TTX changed the membrane potential by 2.8 ± 1.7 mV, to 48 ± 3 mV (n = 11; p = 0.12). Control Tyrode's with cesium and TTX changed the membrane potential by 0.6 ± 2.5 mV, to 42.6 ± 6.7 mV (n = 3; p = 0.8). It therefore seems likely that the tonic TTX-insensitive sodium flux contributes strongly to depolarizing cerebellar nuclear neurons above threshold voltages.

View larger version (34K): [in this window] [in a new window]   Figure 11.   Dependence of the resting potential on extracellular sodium concentration. A, Spontaneous firing of a neuron in control Tyrode's (control) and resting potentials of the same cell on exposure to control Tyrode's with TTX (TTX), Co Tyrode's with TTX (Co + TTX), and NMDG-Tyrode's with TTX (low Na + TTX). B, Within-cell comparisons of resting membrane potentials (RMP) measured in Tyrode's with TTX and in one or more of the following solutions: Co plus TTX, low Na plus TTX, or control Tyrode's with TTX and 2 mM CsCl.

	DISCUSSION

TOP ABSTRACT INTRODUCTION MATERIALS AND METHODS RESULTS DISCUSSION REFERENCES

Cerebellar nuclear neurons are the primary synaptic targets of Purkinje cells and the major output neurons of the cerebellum. Despite their important location, little is known about the biophysical mechanisms underlying their activity (Sastry et al., 1997). When isolated, these cells fire spontaneous action potentials similar to those in intact preparations (Thach, 1968; Jahnsen, 1986a; Llinás and Mühlethaler, 1988; Mouginot and Gähwiler, 1995; Aizenman and Linden, 1999) and therefore provide reasonable models for studying firing. Importantly, isolated cells allow for quantitative measurements of the pharmacology and kinetics of the ionic currents intrinsic to these neurons, which previously have not been studied under voltage clamp.

Currents that determine the resting potential

Potassium channels, including M-channels, inward rectifiers, and TASK channels, tend to bring resting potentials toward E_K (Marrion, 1997; Reimann and Ashcroft, 1999; Millar et al., 2000); in several cell types the Na/K pump also serves to hyperpolarize resting potentials (Jacob et al., 1987; Jones, 1989; Trotier and Døving, 1996). Many neurons rest positive to E_K, however, indicating that inward currents also must be active at rest (Forsythe and Redman, 1988; Jones, 1989). These can include I_h (Jones, 1989; Spruston and Johnston, 1992; Lamas, 1998; Doan and Kunze, 1999) and possibly other TTX-insensitive sodium fluxes (Forsythe and Redman, 1988). Additionally, the Na/Ca exchanger has been reported to depolarize resting potentials (Jacob et al., 1987).

In TTX, the cerebellar nuclear neurons rested ~50 mV positive to E_K, suggesting that potassium currents do not dominate subthreshold potentials. I_h did not appear to contribute strongly to interspike depolarizations or rest in TTX, because little cesium-sensitive current flowed at potentials greater than or equal to 60 mV and depolarizing sags appeared only negative to 100 mV. These results are consistent with cerebellar nuclear expression of HCN2, but not HCN1, mRNA; the HCN2 channel has slower activation kinetics and activates at more negative voltages (Santoro et al., 2000). Resting currents also were unaffected by blocking the Na/Ca exchanger.

The major resting current (in TTX) appeared to be a tonic cationic flux, carried in part by sodium ions. The channels carrying this current may account for the resting permeability to sodium in many cells. The current appears electrophysiologically similar to background nonselective cation currents of cardiac cells (Hagiwara et al., 1992; Manabe et al., 1995; Zhang et al., 2000). The existence of such a flux in cerebellar nuclear neurons is consistent with Jahnsen's (1986a) observation that the cells "always showed signs of having a steady inward current." By analogy to Purkinje neurons (Llinás and Sugimori, 1980), Jahnsen proposed that the depolarization resulted from persistent sodium currents. The tonic cation current, however, differs in at least three ways from "persistent sodium currents," as the term usually is used. First, persistent sodium currents are generally TTX-sensitive (French et al., 1990; Crill, 1996; Kay et al., 1998), which the tonic cation current is not. The TTX insensitivity suggests that the tonic cation current is a distinct molecular entity.

Second, the persistent sodium current activates just positive to 70 mV (Stafstrom et al., 1985; French et al., 1990; Cepeda et al., 1995), whereas the tonic cation current appears voltage-independent. Therefore, unlike persistent sodium current, the tonic cation current would tend to drive cerebellar nuclear neurons suprathreshold, even after significant hyperpolarization.

Third, the reversal potentials of the tonic cation current and persistent sodium current are distinct. Persistent sodium currents reverse near E_Na (Kay et al., 1998; Magistretti et al., 1999a), whereas the extrapolated reversal potential of the tonic cation current was near 30 mV. This reversal suggests that ions in addition to sodium, possibly potassium, permeate the channel. Assuming a single channel type permeant only to sodium and potassium, the reversal potential predicts a P_Na/P_K of 0.25. In that case, however, a 25-fold reduction of sodium should shift the reversal substantially more negative than was observed (predicted, 84 mV; observed, 53 mV). Possibly, voltage-gated calcium currents contribute to the total current measured negative to 40 mV, or calcium may permeate the putative channel, shifting the reversal positive, particularly in low-sodium solutions. Consistent with calcium permeability, cobalt substitution reduced the tonic inward current even below 90 mV, where little voltage-gated current is expected to be active (data not shown). Alternatively, cobalt simply may block the putative cation channel. Finally, some proportion of the total tonic inward current at 60 mV may result from calcium-activated nonselective (CAN) cation currents (Yellen, 1982; Swandulla and Lux, 1985; Hasuo et al., 1990; Wilson et al., 1996). CAN channels cannot account completely for the inward current, however, because resting potentials remained near 50 mV with cobalt substituted for calcium.

Recently, a calcium-dependent increase in the intrinsic excitability of cerebellar nuclear neurons has been demonstrated (Aizenman and Linden, 2000). Because the firing frequency of the cells varies linearly with current injections, changes in the amplitude of the tonic cation conductance might influence firing rates. The tonic cation current therefore may provide one substrate for modulation of the excitability of cerebellar nuclear neurons.

Sodium currents

The activation, inactivation, and recovery kinetics of TTX-sensitive transient sodium currents were similar to those of other central neurons (Sah et al., 1988; Kuo and Bean, 1994; Martina and Jonas, 1997). In the context of the shallow interspike troughs, it is interesting that spontaneous firing was maintained despite a low availability of TTX-sensitive channels before each action potential. Moderate synaptic inhibition that hyperpolarizes the cell therefore may recruit a significant number of sodium channels. Such increases in sodium channel availability may contribute to the tendency to fire during small, steady hyperpolarizations as well as to participate in the rebound excitation that has been observed in these neurons.

Potassium currents

Nearly all of the outward current evoked with action potential waveforms was blocked by 1 mM TEA. This high TEA sensitivity suggests that the calcium-dependent and -independent components arise from the slo (BK) and the KV3 family (Coetzee et al., 1999). These data add cerebellar nuclear cells to the class of neurons in which fast repolarization of action potentials is driven by KV3 channels (Rudy et al., 1999). In situ hybridization studies indicate high expression of KV3.1 and KV3.3, some KV3.2, but no KV3.4 in cerebellar nuclear cells. Consistent with our recordings, these subunits predict high-threshold, noninactivating, fast delayed rectifier-like currents (Weiser et al., 1994, 1995).

Other currents

In cerebellar nuclear neurons in slices, burst firing appears to depend on low-threshold calcium currents and I_h and appears to be regulated by SK currents (Aizenman and Linden, 1999). In isolated cells, although calcium currents may produce some interspike depolarization, they appear to be balanced quickly or overwhelmed by calcium-activated potassium currents. In intact preparations, the contribution of calcium currents to maintaining spontaneous firing is likely to vary with several factors, including channel density, temperature, and recent firing history.

Isolated neurons did not tend to fire bursts of action potentials either after hyperpolarizing current injection or during pharmacological blockade of SK channels. We do not think that these results are primarily a consequence of enzymatic cleavage of the relevant channels. Calcium currents do not appear particularly sensitive to enzymatic cleavage (Mintz and Bean, 1992; Boland et al., 1994; McDonough and Bean, 1998), and several hundred picoamps were present in our isolated cells (I. M. Raman, unpublished data). Similarly, SK currents are retained in papain-dissociated hair cells (Tucker and Fettiplace, 1996), and, in our hands, BMI consistently modified the interspike waveform. In fact, isolated cerebellar nuclear neurons responded to SK channel blockade much like vestibular neurons in slices (du Lac, 1996). Finally, although trypsin can cleave I_h (Budde et al., 1994), our control experiments with papain-dissociated cells of the ventral cochlear nucleus suggest that I_h can withstand our dissociation procedure.

Because of these results, we favor the idea that the bursting depends on channels that have a preferred or enhanced dendritic expression and that therefore are lost or reduced in isolated cells. Specifically, imaging studies of cerebellar nuclear neurons suggest a higher density of calcium channels in dendrites (Muri and Knöpfel, 1994). Electrophysiological studies report larger rebound depolarizations with synaptic IPSPs than with somatic hyperpolarizing currents, suggestive of dendritic expression of currents such as I_h (Aizenman and Linden, 1999). Precedent for restricted dendritic localization of SK channels comes from CA1 hippocampal neurons (Bekkers, 2000).

Physiological implications

The specific properties of the intrinsic currents are likely to determine any responses of the neuron to synaptic stimulation (Llinás, 1988; Stuart and Häusser, 1998). Because Purkinje cells fire spontaneously at high rates in vivo, cerebellar nuclear neurons must experience a continual inhibitory drive. The tonic cation current may counteract this inhibition in part, promoting the spontaneous firing observed in vivo. When Purkinje cells are excited synaptically to fire above their spontaneous rates, postsynaptic inhibition presumably increases, and the resulting shunt and/or hyperpolarization may slow or suspend the firing of cerebellar nuclear neurons (Jahnsen, 1986b; Mouginot and Gähwiler, 1995; Gauck and Jaeger, 2000). Once Purkinje cell activity returns to the spontaneous level, however, the tonic cation current, along with TTX-sensitive sodium currents that recovered during inhibition or voltage-gated calcium currents, may participate in restoring a regular pattern of firing.

	FOOTNOTES

Received July 28, 2000; revised Sept. 26, 2000; accepted Sept. 27, 2000.

This work was supported by National Institutes of Health Grant NS39395 (I.M.R.). I.M.R. is a fellow of the Alfred P. Sloan Foundation and the Searle Foundation. We thank Dr. Nace Golding for his help in dissecting the ventral cochlear nucleus and Drs. Larry Trussell and Nelson Spruston for comments on this manuscript.

Correspondence should be addressed to Dr. Indira M. Raman, Department of Neurobiology and Physiology, Northwestern University, 2153 North Campus Drive, Evanston, IL 60208. E-mail: i-raman{at}nwu.edu.

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				M. Puopolo, B. P. Bean, and E. Raviola Spontaneous Activity of Isolated Dopaminergic Periglomerular Cells of the Main Olfactory Bulb J Neurophysiol, November 1, 2005; 94(5): 3618 - 3627. [Abstract] [Full Text] [PDF]

				J. F. Atherton and M. D. Bevan Ionic Mechanisms Underlying Autonomous Action Potential Generation in the Somata and Dendrites of GABAergic Substantia Nigra Pars Reticulata Neurons In Vitro J. Neurosci., September 7, 2005; 25(36): 8272 - 8281. [Abstract] [Full Text] [PDF]

				K. Ptak, G. G. Zummo, G. F. Alheid, T. Tkatch, D. J. Surmeier, and D. R. McCrimmon Sodium Currents in Medullary Neurons Isolated from the Pre-Botzinger Complex Region J. Neurosci., May 25, 2005; 25(21): 5159 - 5170. [Abstract] [Full Text] [PDF]

				P. A. Olson, T. Tkatch, S. Hernandez-Lopez, S. Ulrich, E. Ilijic, E. Mugnaini, H. Zhang, I. Bezprozvanny, and D. J. Surmeier G-Protein-Coupled Receptor Modulation of Striatal CaV1.3 L-Type Ca2+ Channels Is Dependent on a Shank-Binding Domain J. Neurosci., February 2, 2005; 25(5): 1050 - 1062. [Abstract] [Full Text] [PDF]

				W. Zhang, J. H. Shin, and D. J Linden Persistent changes in the intrinsic excitability of rat deep cerebellar nuclear neurones induced by EPSP or IPSP bursts J. Physiol., December 15, 2004; 561(3): 703 - 719. [Abstract] [Full Text] [PDF]

				F. S. Afshari, K. Ptak, Z. M. Khaliq, T. M. Grieco, N. T. Slater, D. R. McCrimmon, and I. M. Raman Resurgent Na Currents in Four Classes of Neurons of the Cerebellum J Neurophysiol, November 1, 2004; 92(5): 2831 - 2843. [Abstract] [Full Text] [PDF]

				M. Hausser, I. M. Raman, T. Otis, S. L. Smith, A. Nelson, S. du Lac, Y. Loewenstein, S. Mahon, C. Pennartz, I. Cohen, et al. The Beat Goes On: Spontaneous Firing in Mammalian Neuronal Microcircuits J. Neurosci., October 20, 2004; 24(42): 9215 - 9219. [Full Text] [PDF]

				A. C. Jackson, G. L. Yao, and B. P. Bean Mechanism of Spontaneous Firing in Dorsomedial Suprachiasmatic Nucleus Neurons J. Neurosci., September 15, 2004; 24(37): 7985 - 7998. [Abstract] [Full Text] [PDF]

				M. T. H. Do and B. P. Bean Sodium Currents in Subthalamic Nucleus Neurons From Nav1.6-Null Mice J Neurophysiol, August 1, 2004; 92(2): 726 - 733. [Abstract] [Full Text] [PDF]

				N. S. Magoski Regulation of an Aplysia Bag Cell Neuron Cation Channel by Closely Associated Protein Kinase A and a Protein Phosphatase J. Neurosci., July 28, 2004; 24(30): 6833 - 6841. [Abstract] [Full Text] [PDF]

				T. M. Grieco and I. M. Raman Production of Resurgent Current in NaV1.6-Null Purkinje Neurons by Slowing Sodium Channel Inactivation with {beta}-Pompilidotoxin J. Neurosci., January 7, 2004; 24(1): 35 - 42. [Abstract] [Full Text] [PDF]

				V. Gauck and D. Jaeger The Contribution of NMDA and AMPA Conductances to the Control of Spiking in Neurons of the Deep Cerebellar Nuclei J. Neurosci., September 3, 2003; 23(22): 8109 - 8118. [Abstract] [Full Text] [PDF]

				A. Reboreda, E. Sanchez, M. Romero, and J A. Lamas Intrinsic spontaneous activity and subthreshold oscillations in neurones of the rat dorsal column nuclei in culture J. Physiol., August 15, 2003; 551(1): 191 - 205. [Abstract] [Full Text] [PDF]

				C. Sekirnjak, B. Vissel, J. Bollinger, M. Faulstich, and S. du Lac Purkinje Cell Synapses Target Physiologically Unique Brainstem Neurons J. Neurosci., July 16, 2003; 23(15): 6392 - 6398. [Abstract] [Full Text] [PDF]

				Z. M. Khaliq, N. W. Gouwens, and I. M. Raman The Contribution of Resurgent Sodium Current to High-Frequency Firing in Purkinje Neurons: An Experimental and Modeling Study J. Neurosci., June 15, 2003; 23(12): 4899 - 4912. [Abstract] [Full Text] [PDF]

				C. D. Aizenman, E. J. Huang, and D. J. Linden Morphological Correlates of Intrinsic Electrical Excitability in Neurons of the Deep Cerebellar Nuclei J Neurophysiol, April 1, 2003; 89(4): 1738 - 1747. [Abstract] [Full Text] [PDF]

				C. M. Pedroarena and C. Schwarz Efficacy and Short-Term Plasticity at GABAergic Synapses Between Purkinje and Cerebellar Nuclei Neurons J Neurophysiol, February 1, 2003; 89(2): 704 - 715. [Abstract] [Full Text] [PDF]

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				P. Telgkamp and I. M. Raman Depression of Inhibitory Synaptic Transmission between Purkinje Cells and Neurons of the Cerebellar Nuclei J. Neurosci., October 1, 2002; 22(19): 8447 - 8457. [Abstract] [Full Text] [PDF]

				J. Chemin, A. Monteil, E. Perez-Reyes, E. Bourinet, J. Nargeot, and P. Lory Specific contribution of human T-type calcium channel isotypes ({alpha}1G, {alpha}1H and {alpha}1I) to neuronal excitability J. Physiol., April 1, 2002; 540(1): 3 - 14. [Abstract] [Full Text] [PDF]

				V. Gauck, M. Thomann, D. Jaeger, and A. Borst Spatial Distribution of Low- and High-Voltage-Activated Calcium Currents in Neurons of the Deep Cerebellar Nuclei J. Neurosci., August 1, 2001; 21(15): RC158 - RC158. [Abstract] [Full Text] [PDF]

				J. Chemin, A. Monteil, E. Perez-Reyes, E. Bourinet, J. Nargeot, and P. Lory Specific contribution of human T-type calcium channel isotypes (1G, 1H and 1I) to neuronal excitability J. Physiol., February 15, 2002; (2002) 200101326. [Abstract] [PDF]

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