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European Journal of Neuroscience, Vol. 12, pp. 1±7, 2000 ã European Neuroscience Association Do neurons have a reserve of sodium channels for the generation of action potentials? A study on acutely isolated CA1 neurons from the guinea-pig hippocampus Michael Madeja Institute for Physiology, University of MuÈnster, Robert-Koch-Str. 27 A, D-48149 MuÈnster, Germany Keywords: density of channels, frequency, recovery, repetitive ®ring, tetrodotoxin Abstract The density of voltage-gated sodium channels is high in several regions of the neuronal membrane. It is unclear if this density of channels represents a reserve for the neuron, or if it ful®ls a special role in action potential ®ring. This problem was addressed by studying sodium currents and action potentials in acutely isolated hippocampal CA1 neurons whose number of active sodium channels was acutely changed by applying the sodium channel blocker tetrodotoxin (TTX) at different concentrations. The results show that more than a third of the sodium channels can fail without affecting the single action potential. Thus, the neurons have a remarkable surplus of sodium channels. The surplus, however, is necessary for repetitive action potential ®ring, as every decrease in the fraction of sodium channels reduces the maximal frequency of action potentials that can be generated by the neuron. Introduction The generation of action potentials is one of the fundamental processes in nervous systems. Although the general mechanisms of the action potential and especially the role of the voltage-gated sodium channels have been known for several decades (see Kandel, 1976), many problems are still unsolved even now. A question of particular importance concerns the number of sodium channels required for the generation of action potentials. Thus, it is unknown if every reduction of the number of sodium channels impairs action potential generation or if neurons have a reserve that allows failure of a fraction of the sodium channels without impairing the generation of action potentials. An answer to this question is not only of interest for a further understanding of the basic principles of neuronal activity, but might have consequences for judging the relevance of sodium channel blockade by pharmaceutical drugs and for a better understanding of pathological conditions leading to a reduction of sodium channels. In order to contribute to a solution of this problem, a neuronal cell type was treated with tetrodotoxin (TTX) at different concentrations. Because TTX is a speci®c blocker of the voltage-gated sodium channels (Narahashi, 1974; Catterall, 1980; Ulbricht, 1981), the momentary number of sodium channels available for the generation of action potentials could be titrated by applying different concentrations of TTX. Thus, action potential generation could be studied in a neuronal preparation in which the number of active sodium channels was set to different levels. Materials and methods Nerve cell isolation The experiments were carried out on hippocampal neurons of adult guinea-pigs (weight, 300±400 g). The brain was removed during ether Correspondence: Dr M. Madeja, as above. E-mail: [email protected] Received 10 May 1999, revised 4 August 1999, accepted 2 September 1999 anaesthesia. The hippocampus was dissected and transverse slices (thickness, 400±500 mm) were cut parallel to the alvear ®bres with a McIlwain tissue chopper. The neurons were acutely isolated according to the technique of Kay & Wong (1986), modi®ed as described by Vreugdenhil & Wadman (1995). In short, the regions containing CA1 neurons were dissected into sections of ~ 1 mm2. These tissue pieces were incubated for 75 min at 32 °C in oxygenated dissociation solution containing (in mmol/L): NaCl, 120; KCl, 5; PIPES, 20; CaCl2, 1; MgCl2, 1; D-glucose, 25; 1 mg/mL trypsin (40 U/mg, Merck, Darmstadt, Germany), pH 7.0. Thereafter, the tissue was washed with enzyme-free solution and kept at room temperature. Neurons were isolated by triturating the tissue pieces through a series of Pasteur pipettes with decreasing tip diameter. After settling onto the bottom of the recording chamber, neurons which appeared bright and smooth under the microscope and had no visible organelles were selected for recording. Electrophysiological techniques Voltage-clamp recordings were performed in the whole-cell patchclamp con®guration (Hamill et al., 1981). Patch pipettes were pulled from borosilicate glass and had resistances of 2±3 MW. The pipettes were ®lled with an intracellular recording solution (in mmol/L): KF, 140; NaCl, 2; CaCl2, 1; MgCl2, 2; N-2-[hydroxyethyl]piperazineN¢-[2-ethanesulphonic acid] (HEPES), 10; ethylene glycol-bis(baminoethyl ether)-N,N,N¢,N¢-tetraacetic acid (EGTA), 10; MgATP, 0.5, pH 7.4. The acutely isolated neurons were superfused with an extracellular solution of the following composition (in mmol/L): NaCl, 130; KCl, 5.4; CaCl2, 1.8; MgCl2, 1; D-glucose, 25; HEPES, 10, pH 7.4. TTX (0.1 nmol/L up to 5 mmol/L; Sigma, Deisenhofen, Germany) was added to the extracellular solution and was applied with a perfusion pipette directed at the recorded neuron. The TTX solutions were applied for at least 30 s before starting electrophysiological recordings. To avoid signi®cant rundown, each experimental protocol was completed within 10 min. Thus, for the measurement of 2 M. Madeja the recovery of action potentials and maximal discharge frequency, only four different TTX concentrations were tested. Sodium currents and action potentials were recorded with a EPC-7 ampli®er (List Electronic, Darmstadt, Germany). Deformations of action potentials have been shown for recordings with patch-clamp ampli®ers (Magistretti et al., 1996). The used EPC-7 ampli®er was tested by applying voltage pulses with a resistance of 2 MW and a capacitance of 3 pF in order to model the patch pipette. Rectangular pulses showed a transient overshoot of 23% of the maximum voltage amplitude which remained constant in the tested potential range from 10 mp to 100 mV. Thus, the absolute amplitude of the action potential is not measured correctly, but the error can be assumed not to contribute to the relative changes in action potential amplitude. The bandwidth of the EPC-7 ampli®er (determined as the frequency at which a sine wave was reduced to 50%) was 9.0 kHz. The maximum rise time of the ampli®er was 4.64 mV/ms. Because the maximum rise time of the action potentials was measured with ~ 0.9 mV/ms (see Results), it can be assumed that the rise of the action potential is suf®ciently well recorded by the ampli®er. For the recording of sodium currents, the capacitive transients and series resistances were compensated by > 80%. After seal formation and membrane rupturing, the nerve cells were allowed to stabilize for 3 min before starting the pulse protocols. The holding potential was ±80 mV and voltage steps to ±20 mV were applied (duration 5 ms, interpulse interval at least 4 s; for the measurement of recovery from inactivation the interpulse interval was varied from 8 to 80 ms). For the recording of action potentials, constant currents (up to 0.8 nA) were applied to set the resting membrane potential to ±80 mV or more negative. Short current pulses (duration 2 ms, interpulse intervals 10 ms up to 4 s) with an amplitude of 0.5 nA were applied to elicit single action potentials or pairs of action potentials. Long current pulses (duration 600 ms, interpulse interval 4 s) with increasing amplitudes from 0.02 nA up to 0.2 nA were used to elicit repetitive action potential ®ring. All experiments were carried out at room temperature (22 6 1 °C). Data acquisition and analysis Currents were ®ltered with an eight-pole Bessel ®lter at a frequency of 10 kHz and were transferred to a computer system (pCLAMP program, Axon Instruments, Foster City, USA). Leakage currents were subtracted online using the p/4 method (Bezanilla & Armstrong, 1977). The peak amplitudes of sodium currents were measured and normalized to values under control conditions. The amplitudes of action potentials were obtained after subtracting the passive membrane potential changes caused by current injection. The passive membrane potential changes were measured after complete blockade of the sodium currents with 5 mmol/L TTX or were calculated by exponential extrapolation of the passive membrane potential changes measured in the sub-threshold potential range. The maximum rate of rise was determined by differentiation of the action potential (Schwarz et al., 1973). The action potential duration was measured at the half-maximal amplitude. Dose±response relations for the effects of TTX on the amplitudes of the sodium currents and action potentials were determined by ®tting mean values to the Langmuir equation: y = (Km/c)n/[1 + (Km/ c)n], where y is the fraction of the control value, Km is the dissociation constant, c is the concentration of TTX and n is the Hill coef®cient. The maximal discharge frequency of action potentials was ®tted with the modi®ed equation: y = a((Km/c)n/(1 + (Km/c)n)), where y is the discharge frequency and a is the maximal value of the ®t. All other curve ®ts were obtained by applying monoexponential functions. Curve ®ttings and all mathematical procedures were obtained using the program SigmaPlot (Jandel Scienti®c, Erkrath, Germany). The data are given as mean 6 SEM. Results The investigated cells were acutely isolated CA1 neurons from the guinea-pig hippocampus. Cells of similar size and shape (diameter of soma ~ 20 mm, length of apical and basal dendritic stumps ~ 50 mm) were chosen for electrophysiological recording. In the whole-cell con®guration, most of the cells rounded up on the tip of the electrode, allowing an estimation of their surface area. Assuming a spherical model, the mean surface area was calculated to be 1420 6 110 mm2 (n = 10). Because no protease inhibitor and only a low ATP concentration were added to the intracellular solution, the calcium currents ran down completely within 3 min after membrane rupturing (Madeja et al., 1997). Thus, after blockade of the sodium currents with 1000 nmol/L TTX, no inward current was left indicating that the calcium currents were abolished, and that in contrast to other cell types (Scholz et al., 1998), TTX-resistant sodium currents were absent (Fig. 1A). Although the potassium currents could not be blocked due to their role in the repolarization of the action potential, they can be assumed to interfere not signi®cantly with the measurement of sodium currents as the peak of the sodium currents appeared before the potassium currents developed (arrow in Fig. 1A). The sodium current had a mean amplitude of 10.4 6 1.0 nA at a potential of ±20 mV (n = 10). Generation of single action potentials In order to test how the reduction of sodium channels affects the size and shape of single action potentials, sodium currents and action potentials were elicited at various TTX concentrations. The recordings revealed that the sodium currents were more sensitive to TTX than the action potentials (Fig. 1A). Whereas 10 nmol/L TTX reduced the sodium current to less than half of the control value, the action potential amplitude was only slightly affected. Furthermore, with the concentration of 100 nmol/L TTX, which reduced the sodium current to < 6% of the control value, approximately half of the action potential amplitude was left (Fig. 1A and B). The different sensitivities are re¯ected in the dose±response curves of sodium currents and action potential amplitudes (Fig. 1B). Whereas the dose±response relation of the sodium currents has an IC50 value of 6.4 nmol/L (Fig. 1B, ®lled circles) and a Hill coef®cient of 0.91, the curve of the action potential amplitude is shifted to higher concentrations and reveals an IC50 value of 104 nmol/L (Fig. 1B, open circles). Furthermore, the curve has a steeper slope with a Hill coef®cient of 1.23, indicating the threshold-dependent, snowballing nature of the action potential. Further parameters of action potential shape, the duration of the action potential and (the most sensitive parameter) the maximum rate of rise, were analysed (Fig. 1C). The maximum rate of rise under control conditions was 0.92 6 0.09 mV/ms (n = 21). Whereas with TTX the ®rst signi®cant decrease (i.e. a change of > 5% of control) was obtained for the amplitude of the sodium current with 0.3 nmol/L TTX, the ®rst signi®cant decrease of the action potential amplitude appeared with 11.2 nmol/L TTX, the duration of the action potential with 6.5 nmol/L TTX, and its maximum rate of rise with 3.1 nmol/L TTX. At these concentrations, the sodium current was reduced to 36, 50 and 66% of the control value, respectively. Taking the most sensitive parameter, it can be concluded that in these neurons more than a third of the sodium current has to be blocked before generation of single action potentials is affected. Ó 2000 European Neuroscience Association, European Journal of Neuroscience, 12, 1±7 Do neurons have a reserve of sodium channels? 3 FIG. 1. Effects of TTX on sodium currents and single action potentials of acutely isolated CA1 neurons from the guinea-pig hippocampus. (A) Original recordings of sodium currents (I, upper traces) and action potentials (MP, lower traces) under control conditions and at TTX concentrations from 0.1 up to 1000 nmol/L. Currents were elicited from a holding potential of ±80 mV with voltage steps to ±20 mV (duration 5 ms, interpulse interval 4 s). The recordings are corrected for leakage currents. Action potentials were elicited from a membrane potential of ±84 to ±91 mV by current injections of 0.5 nA (duration 2 ms, interpulse interval 4 s). The passive membrane potential changes caused by the current injection (obtained at complete blockade of the sodium currents in 5 mmol/L TTX) are subtracted. The arrow in the recording with 1000 nmol/L TTX indicates the time of the peak sodium current under control conditions. (B) Dose±response curves for the effects of TTX on the amplitudes of sodium currents (®lled circles) and action potentials (AP, open circles). The amplitudes are normalized to control values. Each data point represents the mean 6 SEM of seven to nine experiments. The mean values were ®tted with Langmuir equations. The IC50 values and Hill coef®cients were 6.4 nmol/L and 0.91 for the sodium currents, and 104 nmol/L and 1.23 for the action potentials, respectively (see dotted lines). (C) Change of action potential (AP) amplitude (open circles), duration (open diamonds), maximum rate of rise (open squares) and sodium current amplitude (®lled circles) at increasing TTX concentrations. All parameters are normalized to control conditions. Each data point represents the mean 6 SEM of ®ve to seven experiments. The action potential parameters were ®tted with exponential functions; the ®t of the sodium current was obtained from B. A signi®cant change (> 5% of control) was obtained for the amplitude of the sodium current with 0.3 nmol/L TTX. The respective values for the maximum rate of rise of the action potential were 3.1 nmol/L TTX; for the duration of the action potential, 6.5 nmol/L TTX; and for the amplitude of the action potential, 11.2 nmol/L TTX (see dotted lines). At these concentrations, the sodium currents were reduced by 34 to 64% of control (see dotted lines). Generation of pairs of action potentials To investigate if the failure of a small number of the sodium channels impairs successive action potentials, pairs of action potentials were elicited at those TTX concentrations at which the single action potential was not affected. In a ®rst step, pairs of action potentials were elicited with a ®xed interpulse interval in increasing TTX concentrations. As can be seen from the original recordings in Ó 2000 European Neuroscience Association, European Journal of Neuroscience, 12, 1±7 4 M. Madeja FIG. 2. Effects of TTX on recovery after activation of the action potential. (A) Original recordings of pairs of action potentials under control conditions (CTRL), and with 0.1, 1 and 10 nmol/L TTX. Current pulses (I, amplitude 0.5 nA, duration 2 ms) with an interpulse interval of 10 ms were applied at a membrane potential (MP) of ±87 to ±94 mV. Due to the exponential decay of the stimulation artefact, the second current pulse of a pair was elicited at a MP of ±70 to ±71 mV. (B) Recovery of the action potential at different interpulse intervals (10 to 64 ms) under CTRL (®lled circles) conditions, and with TTX at concentrations of 0.1 nmol/L (open circles), 1 nmol/L (®lled squares) and 10 nmol/L (open squares). The amplitudes of the second action potential of a pair were normalized to the action potential amplitude after complete recovery. Each data point represents the mean 6 SEM of six to eight experiments. The mean values were ®tted with exponential equations. The inset shows superimposed original recordings of pairs of action potentials under control conditions and with 10 nmol/L TTX. The dotted line shows the exponential ®t of the mean sodium currents' recovery from inactivation under control conditions of four experiments. (C) Time constants (t) for the recovery of the action potential under CTRL and with TTX at concentrations up to 10 nmol/L. The time constants were obtained from the experiments and ®ts shown in B, and have corresponding symbols. The dotted line indicates the time constant at the highest concentration of TTX found to have no effect on single action potentials. At this concentration, the time constant of recovery was increased by 39% relative to the control. Fig. 2A, the second action potential of a pair was reduced in amplitude by TTX even at a concentration of 1 nmol/L (Fig. 2A, arrow). At this concentration, the shape of single action potentials remained unchanged (cf. Fig. 1C). This impairment of the second action potential of a pair suggests an effect on the recovery after activation (i.e. the recovery of the sodium channel activation and the voltage-dependent availability of the potassium channels). Pairs of action potentials were therefore elicited at different interpulse intervals (Fig. 2B). Graphical evaluation of the mean action potential amplitudes under control and TTX revealed a slowing of the recovery with increasing TTX concentrations. The time constants of the curves rose from 9.9 ms under control conditions to 15.6 ms with 10 nmol/L TTX (Fig. 2C). Thus, at TTX concentrations of 3.1 nmol/L, at which the single action potential was Ó 2000 European Neuroscience Association, European Journal of Neuroscience, 12, 1±7 Do neurons have a reserve of sodium channels? 5 not affected, the time constant of the recovery of action potentials was prolonged to 13.7 ms, corresponding to an increase of 39% relative to the control. The recovery from inactivation of the sodium currents had a longer time constant with a value of 21.7 ms (Fig. 2B, dotted line, n = 4), further suggesting that only part of the sodium channels is needed for the second action potential of a pair. Generation of repetitive action potentials The slowing of the recovery after activation of action potentials in the presence of TTX can be assumed to in¯uence repetitive action potential ®ring. Thus, the effect of the blockade of different fractions of sodium channels on the maximal number of action potentials generated by the neuron was studied. The maximal discharge frequency was obtained by applying long current stimuli with increasing amplitudes (Fig. 3A; trace with the maximal number of action potentials marked by an asterisk). With increasing concentrations of TTX, the maximal number of action potentials decreased (Fig. 3B). The mean maximal discharge frequencies yielded a decrease from 20.6 Hz under control conditions to 3.0 Hz with 10 nmol/L TTX (Fig. 3C). A ®t of the mean values revealed a reduction by 56% of control at the TTX concentration of 3.1 nmol/L, at which concentration the single action potential was not affected. Furthermore, at a TTX concentration of 0.3 nmol/L, at which the ®rst noticeable reduction of the sodium current appeared (cf. Fig. 1C), also a decrease of the maximal discharge frequency was found (Fig. 3C; reduction to 19.6 Hz, corresponding to a decrease by 5% of the control). Discussion The results of this paper show that in these hippocampal neurons a reduction of the sodium currents of 34% does not affect the size and shape of single action potentials (amplitude, duration and maximum rate of rise). With this reduction, however, the repetitive ®ring of action potentials was strongly impaired. The time constant of recovery after activation was prolonged by 39% and the maximal discharge frequency was reduced by 56%. Furthermore, even smaller reductions of the sodium current which did not affect single action potentials decreased the maximal discharge frequency. Therefore, it can be concluded that these neurons have a surplus of sodium channels for the generation of single action potentials, but that this surplus is needed for high-frequency action potential ®ring. Pharmacological investigations also need to take the results of this study into account, as the recording of unchanged single action potentials does not necessarily exclude an impairment of the sodium channels. If a pharmacological agent is suspected to have blocking effects on sodium channels, this possibility cannot be ruled out simply by measuring the size and shape of single action potentials because, as shown in the neurons studied here, single action potentials might remain unaffected whereas a great part of the sodium channels is blocked. Because this `stability' of the action potential to the blocking of sodium channels has also been described in other neuronal preparations (myelinated nerve ®bres of frogs; Schwarz et al., 1973), similar effects are likely to be present in other nerve cells as well. In order to estimate the sodium channel density in the investigated neurons, the number of active sodium channels was calculated from the amplitude of the sodium current. Under the assumption of an open probability of ~ 90% at ±20 mV (calculations from the current± voltage relationships measured by SteinhaÈuser et al., 1990 and Costa, 1996; see also single channel recordings from Magee & Johnston, 1995) and a single channel current at ±20 mV of 1.1 pA (Magee & FIG. 3. Effects of TTX on the maximal discharge frequency of action potentials. (A) Original recordings of repetitive action potentials during long current pulses of increasing amplitude (amplitudes from 0.02 to 0.2 nA, duration 600 ms). The trace with the maximal number of action potentials is marked by an asterisk. (B) Original recordings at the maximal discharge frequency under control conditions (CTRL), and with 0.1, 1 and 10 nmol/L TTX. The action potentials are truncated. (C) Graphical evaluation of the maximal discharge frequency at TTX concentrations up to 10 nmol/L. Each data point represents the mean 6 SEM of six experiments. The mean values were ®tted with a Langmuir equation. The dotted lines indicate the maximal discharge frequency at the highest TTX concentration which did not affect single action potentials, and at the concentration at which the ®rst signi®cant reduction of the sodium current appeared. At these concentrations, the maximal discharge frequency was decreased by 56% and 5% relative to the control, respectively. Johnston, 1995), the mean sodium current under control conditions of 10.4 nA can be roughly assumed to be carried by ~ 11 000 sodium channels. With a mean surface area of 1420 mm2 of the neurons Ó 2000 European Neuroscience Association, European Journal of Neuroscience, 12, 1±7 6 M. Madeja FIG. 4. Relation between repetitive action potential generation and the density of sodium channels in isolated hippocampal neurons. The data points (®lled circles) and the points of the curve are depicted from the experiments on the amplitude of sodium currents (shown in Fig. 1B) and on the maximal discharge frequency with different concentrations of TTX (shown in Fig. 3C). As mentioned in these ®gures, the data are normalized to the values under control conditions. tested, this corresponds to a mean density of ~ eight active sodium channels per mm2 membrane area under control conditions. Thus, the observed reductions of the sodium currents suggest that in the isolated CA1 neurons the shape and size of the action potential is not affected until the sodium channel density is decreased from eight to ~ ®ve active channels per mm2. For the estimation of the total number of sodium channel density, it has to be considered that at the holding potential of ±80 mV ~ 70% of the total number of sodium channels are inactivated (Sah et al., 1988). Thus, the total sodium channel density can be assumed to be ~ 25 channels per mm2. The relation between the density of sodium channels and the maximal discharge frequency (at room temperature) was examined. Thus, the amplitudes of the sodium currents (see Fig. 1B) and the maximal discharge frequencies of the action potential (see Fig. 3C) obtained under control conditions and with different TTX concentrations were correlated (Fig. 4; the curve shows the respective ®ts from both ®gures). The data points and the curve in Fig. 4 suggest that a plateau maximal discharge frequency for action potentials is not reached and that an increase of the sodium current (by increasing the density of sodium channels to > 25 channels per mm2) would yield higher maximal discharge frequencies. In accordance with these data, the sodium channel density is higher in neuronal structures specialized for the high-frequency conduction of action potentials (> 50 channels per mm2 in nerve ®bres; see Hille, 1992). Concerning the mechanism by which a partial block of sodium channels modi®es repetitive action potential ®ring without affecting the generation of the single action potential, the sodium channels' recovery from inactivation appears to be mainly involved. From the estimation shown above it can be assumed that a full-blown action potential can be elicited when during recovery from inactivation ®ve channels per mm2 are available for activation again. Due to the exponential time course of recovery from inactivation, this time interval can be assumed to be short if the density of sodium channels per mm2 is high. For a total of eight active channels per mm2, the time interval was measured as ~ 23 ms (recovery of the sodium current to 66% of control; see Fig. 2B) suggesting a theoretical maximum discharge frequency of 43 Hz. [For the measured, lower value of 21 Hz (see Fig. 3C) it has to be considered that the applied long current pulses lead to a continuous depolarization inactivating part of the sodium channels, and that in a series of action potentials the generation of not full-blown action potentials leads to a reduction of the repolarizing potassium currents. Both mechanisms impair the ability of the neuron for repetitive ®ring and thus reduce the obtained values of the measured maximum discharge frequencies.] An increase of channel density to a total of e.g. 10 active channels per mm2 can be assumed to reduce the time interval for the recovery of ®ve active channels per mm2 to ~ 15 ms and to increase the theoretical maximum discharge frequency to 67 Hz. However, if the channel density is reduced to ®ve active channels per mm2, a full-blown, unchanged action potential can be generated only after complete recovery from inactivation, i.e. the maximum discharge frequency is low. It was the aim of the present paper to study the effects of reduction of sodium channel density in a neuronal cell membrane. Thus, the isolated CA1 neuron was chosen as a simple and easily accessible neuronal preparation. It is, however, hardly possible to infer from the obtained results to the CA1 neuron in vivo due to an important limitation: the obtained density of sodium channels in the isolated neuron might not correspond to the somatic channel density of the neuron in vivo. The isolated CA1 neurons do not possess axons and it is unknown if the axon is lost completely or if part of the axon is retracted into the cell body following isolation. In the latter case, part of the recorded sodium channels was of axonal origin and did not belong to the soma of the CA1 neuron. Because the density of sodium channels is high in axons in comparison with cell bodies (Safronov et al., 1999), the somatic sodium channel density in vivo might be lower than estimated from the isolated neuron. On the contrary, dendritic membrane areas are incorporated into the soma during rounding up of the isolated CA1 neuron. Although sodium channels are found in dendrites of CA1 neurons (Magee & Johnston, 1995), a low dendritic density is likely. Thus, the mean sodium channel density of the isolated and rounded neuron might be re-decreased. However, although no information about distribution of channels in isolated CA1 neurons is available, TTX-binding studies on these neurons in brain slices suggest a signi®cant amount of sodium channels within the cell bodies (Mourre et al., 1988) which may be assumed to roughly represent the situation in the acutely isolated neurons. However, for more de®nite conclusions, binding studies quantifying the sodium channel density in isolated CA1 neurons are needed. This study was performed on a neuronal cell type. The loss of the complexity of the neuron after isolation and the fact that in general the same effect of a stronger effect of TTX on sodium currents than on action potentials has been described for myelinated nerve ®bres of frogs (Schwarz et al., 1973) may allow the discussion of the relevance of the results for action potential generation in nerve ®bres as well. Thus, in the node of Ranvier, very high sodium channel densities have been found (up to 2000 channels per mm2; Conti et al., 1976; Chiu, 1980; Waxman & Ritchie, 1985). It is tempting to speculate that this clustering of sodium channels represents another advantage of conduction in myelinated nerve ®bres. In comparison with unmyelinated ®bres, the extreme sodium channel density at the nodes would not only induce a faster generation and rise of the action potential, thus further increasing the conduction velocity (Hille, 1992), but might also allow the generation of action potentials at higher frequencies, and thus extend the operating range of the ®bre for frequency-encoded information. Ó 2000 European Neuroscience Association, European Journal of Neuroscience, 12, 1±7 Do neurons have a reserve of sodium channels? Furthermore, especially under pathological conditions, changes of action potential shape and sodium current amplitude (Figenschou et al., 1996; Francke et al., 1996; Colino et al., 1998) might affect the generation of action potentials at high frequencies. Thus, it can be assumed that processes of demyelination which are known to reduce the conduction velocity of nerve ®bres might cut off part of the conducted information. In contrast to the nodes of Ranvier, the internodal area contains only a low density of sodium channels (< 25 sodium channels per mm2; Ritchie & Rogart, 1977; Black et al., 1990; see Catterall, 1992). With demyelination, the saltatory conduction of the ®bre is replaced by continuous conduction (see Kocsis & Waxman, 1985) and action potentials have to be generated in the former internodal areas, where the sodium channel density is low. This might be supposed to reduce maximal discharge frequency of action potentials in the impaired ®bre and thus to restrict the operating range of the ®bre and block the information coded by higher action potential frequencies (see Kocsis & Waxman, 1985). Besides the reduced conduction velocity and the other pathogenic mechanisms of demyelination, the loss of conducted information due to action potential generation in areas of reduced sodium channel density might contribute to the symptoms of demyelinating diseases. Acknowledgements I would like to thank Professor E.-J. Speckmann (MuÈnster, Germany) for discussions of the results and Professor W. Ulbricht (Kiel, Germany) for critical comments on the manuscript. I am grateful to Dr B.J. Corrette (Berlin, Germany) for English corrections. This article is dedicated to Professor V. Cioli (Florence, Italy). Abbreviations EGTA, ethylene glycol-bis(b-aminoethyl ether)-N,N,N¢,N¢-tetraacetic acid; HEPES, N-2-[hydroxyethyl]piperazine-N¢-[2-ethanesulphonic acid]; TTX, tetrodotoxin. References Bezanilla, F. & Armstrong, C.M. (1977) Inactivation of the sodium channel. I. Sodium current experiments. J. Gen. Physiol., 70, 549±566. Black, J.A., Kocsis, J.D. & Waxman, S.G. (1990) Ion channel organization of the myelinated ®ber. Trends Neurosci., 13, 48±54. Catterall, W.A. (1980) Neurotoxins that act on voltage-sensitive sodium channels in excitable membranes. Annu. Rev. Pharmacol. Toxicol., 20, 15± 43. Catterall, W.A. 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Ó 2000 European Neuroscience Association, European Journal of Neuroscience, 12, 1±7