Abstract
Pyramidal neurons in the subiculum typically display either bursting or regular-spiking behaviour. Although this classification into two neuronal classes is well described, it is unknown how these two classes of neurons contribute to the integration of input to the subiculum. Here, we report that bursting neurons posses a hyperpolarization-activated cation current (Ih) that is two-fold larger (conductance, 5.3 ± 0.5 nS) than in regular-spiking neurons (2.2 ± 0.6 nS), whereas Ih exhibits similar voltage-dependent and kinetic properties in both classes of neurons. Bursting and regular-spiking neurons display similar morphology. The difference in Ih between the two classes of neurons is not responsible for the distinct firing patterns, as neither pharmacological blockade of Ih nor enhancement of Ih using a dynamic clamp affects the qualitative firing patterns. Instead, the difference in Ih between bursting and regular-spiking neurons determines the temporal integration of evoked synaptic input from the CA1 area. In response to stimulation at 50 Hz, bursting neurons, with a large Ih, show ∼50% less temporal summation than regular-spiking neurons. The amount of temporal summation in both neuronal classes is equal after pharmacological blockade of Ih. A computer simulation model of a subicular neuron with the properties of either a bursting or a regular-spiking neuron confirmed the pivotal role of Ih in temporal integration of synaptic input. These data suggest that in the subicular network, bursting neurons are better suited to discriminate the content of high-frequency input, such as that occurring during gamma oscillations, than regular-spiking neurons.
The subiculum functions as the main output structure of the hippocampus proper and gets its main inputs from the CA1 area and the entorhinal cortex as well as from other subcortical and cortical areas. Functionally, the subiculum plays a role in certain forms of spatial memory and in mnemonic processing (O'Mara et al. 2001). The identification of the electrophysiological properties of subicular neurons has led to a categorization into bursting and regular-spiking neurons (Taube, 1993; Stewart & Wong, 1993; Mason, 1993) but there are controversies concerning the ion currents responsible for the intrinsically generated bursting behaviour. Some studies suggest that a Ca2+-dependent conductance is responsible for bursting, because TTX-resistant spikes and humps are present in bursting neurons (Stewart & Wong, 1993; Taube, 1993). In contrast, others (Mattia et al. 1993, 1997) have suggested that a Na+ conductance is responsible for burst generation, whereas Ca2+-dependent K+ conductances might be important for burst termination. More recently, it has been suggested that a Ca2+ tail current, mediated by multiple Ca2+ channel subtypes, drives bursting (Jung et al. 2001).
Independent from the discussion on which conductance underlies the ability to fire bursts in subicular neurons, few studies have compared the electrophysiological properties of the two classes of neurons in detail and, to date, no study compared the functional roles of specific voltage-gated conductances in the two classes of subicular neurons. However, the studies that have examined the electrophysiological properties of subicular neurons suggest that there are no obvious differences between the two classes (Taube, 1993; Stewart, 1997; Staff et al. 2000). The only distinct difference between bursting and regular-spiking neurons that has been reported is the lack of a prominent sag and of rebound potentials in regular-spiking neurons (Stewart & Wong, 1993; Greene & Totterdel, 1997; Menendez de la Prida et al. 2003), although others have not shown this difference (Taube, 1993; Behr et al. 1996; Staff et al. 2000). Depolarizing sags are caused by the activation of the hyperpolarization-activated cation current (Ih) (Pape, 1996; Robinson & Siegelbaum, 2002). We therefore investigated whether bursting and regular-spiking neurons express different levels of Ih and whether Ih displays similar properties in both classes of subicular neurons. As Ih has an important role in synaptic integration in both hippocampal and neocortical pyramidal neurons (Magee, 1998, 1999; Williams & Stuart, 2000; Berger et al. 2001), we also studied the temporal summation of synaptic input from the CA1 area in subicular bursting and regular-spiking neurons. We show that Ih in bursting neurons has a two-fold larger conductance than Ih in regular-spiking neurons, whereas the voltage-dependent and kinetic properties of Ih do not differ between the two classes of neurons. Furthermore, using a computer model of a reconstructed subicular neuron, we show that the difference in Ih is necessary and sufficient to account for the ∼50% difference in temporal summation between bursting and regular-spiking neurons as observed experimentally. Together, these results suggest that bursting neurons are better suited to discriminate the frequency content of high-frequency input than regular-spiking neurons because of their large Ih conductance.
Methods
Preparation of slices
Parasaggital slices including the hippocampus and entorhinal cortex (250 μm) were prepared from male 14- to 28-day-old Wistar rats (Harlan, Zeist, the Netherlands). Experiments were conducted according to the guidelines on animal experimentation of the Ethics Committee of the University of Amsterdam. After decapitation using a small animal guillotine without prior use of anaesthesia, the brain was rapidly removed and placed in ice-cold artificial cerebrospinal fluid (ACSF) containing (mm): NaCl 120, KCl 3.5, CaCl2 2.5, MgSO4 1.3, NaH2PO4 1.25, glucose 25 and NaHCO3 25, equilibrated with 95% O2–5% CO2; pH 7.4. Subsequently, slices were cut using a vibroslicer (VT1000S, Leica Microsystems, Nussloch, Germany) and were left to recover for 1 h at 31°C. Slices were kept at room temperature (20–23°C) until use.
Electrophysiological recordings
Subicular pyramidal neurons were visualized using an upright microscope (Zeiss Axioskop FS2, Oberkochen, Germany) with Hoffman modulation contrast optics and with a VX44 CCD camera (PCO, Kelheim, Germany). Patch-clamp recordings for characterization of Ih were made at room temperature and at physiological temperatures (30–33°C) during experiments in which synaptic stimulation was performed. For whole-cell somatic recordings, patch pipettes were pulled from borosilicate glass and had a resistance of 2–4 MΩ when filled with pipette solution containing (mm): potassium gluconate 140, Hepes 10, EGTA 5, CaCl2 0.5, Mg-ATP 2 and sucrose 10; pH adjusted to 7.4 with KOH. For experiments in which Ih was characterized, biocytin (5 mg ml−1) was added to this pipette solution. After firing characteristics were determined in current-clamp mode, 1 μm tetrodotoxin (TTX, Latoxan, Valence, France) was added and Ih was recorded in voltage-clamp mode. Cells were voltage-clamped at −50 mV and currents were evoked by hyperpolarizing voltage steps (1 s). Series resistance was 6–20 MΩ during whole-cell recordings and was compensated for by at least 80%. For cell-attached Ih recordings pipettes were filled with solution containing (mm): KCl 120, Hepes 10, MgCl2 1, CaCl2 2, tetraethylammonium chloride 20 and 4-aminopyridine 5 (pH adjusted to 7.4 with KOH) and had a resistance of 2–3 MΩ. Current signals in voltage clamp were acquired at 1 kHz and filtered at 500 Hz, whereas voltage signals in current clamp were acquired at 10 kHz and filtered at 3.3 kHz using an EPC9 amplifier and Pulse 8.31 software (HEKA Electronik, Lambrecht, Germany) run on an Apple Mac G3 computer. No correction was made for liquid-junction potentials.
Synaptic stimulation
A pair of tungsten stimulation electrodes (diameter, 70 μm), separated by ∼40 μm, was used for bipolar stimulation of the alveus on the border of CA1 and subiculum. The intensity of the 200-μs stimuli ranged from 300 to 900 μA and the distance from the site of stimulation to the recording electrode ranged from 200 to 1000 μm. Glutamatergic NMDA receptors were blocked with 50 μmd(-)-2-Amino-5-phosphonopentanoic acid and GABAA receptors were blocked with 20 μm bicuculline methochloride. GABAB receptors were blocked with 200 μm saclofen. For blockade of Ih, 20 μm ZD7288 was used. All chemicals were purchased from Tocris (Bristol, UK).
Dynamic clamp
A dynamic clamp, in which a model of Ih provided the Ih current depending on the actual recorded cell voltage, was used to artificially manipulate the amplitude of Ih, as previously described (van Welie et al. 2004). A PC with data acquisition card (National Instruments, Austin, TX, USA) sampled membrane voltage at 5 kHz and injected Ih with the same sampling rate. The voltage dependence and kinetics of Ih were as previously described (van Welie et al. 2004), and the amplitude of Ih was controlled by the external input gain of the recording amplifier. The static and dynamic properties of Ih in the dynamic clamp were verified with standard voltage-clamp protocols.
Morphological analysis
Cells were filled with biocytin (5 mg ml−1, dissolved in the pipette solution) during recordings. Slices were fixed overnight in 4% paraformaldehyde and 1% glutaraldehyde at 4°C. After washing in PBS, slices were treated with 3% hydrogen peroxide in order to quench endogenous peroxidases and permeabilized with 2% Triton. Biocytin was visualized using an avidin–horseradish peroxidase–DAB (3,3'-Diaminobenzidine Tetrahydrochloride) reaction (ABC Elite peroxidase kit, Vector Laboratories, Burlingame, CA, USA) according to the manufacturer's instructions. Slices were coverslipped with Mowiol. Cells were reconstructed using a drawing tube, and the drawings were digitized using a graphical tablet.
Data analysis
For whole-cell experiments, hyperpolarization-activated currents were leak-corrected off-line using a custom-made procedure in Igor Pro (Wavemetrics Inc., Lake Oswego, OR, USA). The time constant of activation of Ih was determined by fitting a single exponential function to the start of current traces. The Ih conductance (gh) was calculated using:
where Vrev is the experimentally recorded reversal potential of Ih (mean, −25 mV, see Fig. 3) The relationship of gh as a function of voltage (V) was fitted by a Boltzmann equation:
where gmax is the maximal conductance, Vh is the voltage of half maximal activation and Vc is the slope factor. The input resistance was determined at the end of the voltage responses to hyperpolarizing current injections. In current-clamp recordings, the sag ratio was calculated by dividing the steady-state voltage by the peak voltage response to a hyperpolarizing current injection of 200 pA. In experiments in which synaptic stimulation was used, temporal summation was calculated as the relative increase in the amplitude of the synaptic depolarization during a train of five EPSPs:
Traces were averaged over 10–30 sweeps. All values are given as means ± s.e. Differences were tested with Student's t test unless stated otherwise. P < 0.05 indicates a significant difference.
Computer modelling
The interpretation of our data was verified by a modelling study, using the NEURON simulation environment (v5.6, Hines & Carnevale, 1997). First we used the NeuroLucida program to quantify the morphological organization of the soma and the dendritic tree of a typical subicular neuron. The morphology defines a compartment model consisting of a realistically dimensioned soma with apical and basilar dendrites (see Fig. 6A). A Scholl analysis (Scholl, 1953) of dendrite crossings as a function of distance from the soma (see Fig. 6B) concurred with previously reported data on the morphology of subicular neurons (Staff et al. 2000). Because the aim of our model study was to investigate subthreshold synaptic summation, we did not implement the firing patterns of subicular neurons. Ih was modelled to reproduce the voltage dependence and kinetics as observed experimentally at 30–33°C in the soma of bursting and regular-spiking neurons. The current was described by:
and
and the voltage-dependent time constant was (τh) defined as:
using previously published data (Magee, 1998) that were corrected for extracellular Na+ concentration. For all Ih channels located in the dendritic compartments more than 100 μm away from the soma, the activation function was shifted by 8 mV in the depolarizing direction, based on dendritic recordings made in hippocampal CA1 pyramidal neurons (Magee, 1998). All other sodium and potassium currents were grouped into two leak conductances, their values determined by specific boundary conditions (see Results). All ion concentrations were implemented as stationary values, resulting in fixed reversal potentials for the ionic currents. This model is available in the Senselab database: (http://senselab.med.yale.edu/senselab/).
Results
Morphology and distribution of bursting and regular-spiking neurons
Combined current- and voltage-clamp experiments were performed in neurons from the subiculum. Filling neurons with biocytin present in the pipette solution allowed staining of recorded neurons to investigate morphology and location. From a total of 55 neurons recorded from locations randomly chosen in the subiculum (see lower schematic diagram in Fig. 1B), 35 (64%) were classified as bursting neurons, 17 (31%) as regular-spiking neurons and three (5%) as fast-spiking neurons. A burst was defined by a high frequency of the first two action potentials (>200 Hz) that rode on a depolarizing potential followed by a long (tens of milliseconds) afterhyperpolarizing potential (Fig. 1A). A distinction between weak-bursting (one burst per current injection) and strong-bursting (multiple bursts per current injection) neurons was not made. Regular-spiking neurons responded to current injections with trains of action potentials and never with a burst, regardless of the amplitude of the depolarization. Fast-spiking neurons presumably were interneurons and they were not further considered in this study.
Both bursting and regular-spiking neurons were typical projection neurons with pyramidal-shaped somata (Fig. 1B). The axonal arbors could be followed in some neurons, but quantitative analysis of projection areas was not feasible due to the frequent cutting of axons by the slicing procedure. Figure 1B schematically shows the location of all successfully stained neurons, indicating that there is no relation between the location of subicular neurons and their firing pattern. Both classes of neurons are present throughout the deep–superficial and proximal–distal axes of the subiculum. The membrane properties determined in current-clamp mode (Table 1) showed no differences in resting membrane potential or capacitance between bursting and regular-spiking neurons at both room temperature (20–23°C) and physiological temperature (30–33°C). However, at room temperature, bursting neurons displayed a larger sag in response to a 1-s, 200-pA, hyperpolarizing current injection (sag ratio: bursting, 0.69 ± 0.02, n = 22; regular-spiking, 0.88 ± 0.02, n = 13, P < 0.05). Furthermore, the input resistance, determined at the end of hyperpolarizing current injections, of bursting neurons (79 ± 3 MΩ, n = 22) was considerably smaller than the input resistance of regular-spiking neurons (115 ± 12 MΩ, n = 13, P < 0.05). These differences in membrane properties were maintained at physiological temperature (see Table 1). The difference in input resistance suggests that bursting neurons have a larger conductance at resting membrane potential. Both bursting and regular-spiking neurons displayed anodal break potentials that in some cases initiated rebound potentials, but as for the sags, these were larger in bursting neurons than in regular-spiking neurons (Fig. 1A).
Table 1.
Sag ratio | R-input (MΩ) | Capacitance (pF) | RMP (mV) | |
---|---|---|---|---|
23°C | ||||
Bursting (n = 22) | 0.69 ± 0.02 | 79 ± 3 | 32 ± 4 | −59 ± 2 |
Regular spiking (n = 13) | 0.88 ± 0.02* | 115 ± 12* | 29 ± 7 | −58 ± 2 |
33°C | ||||
Bursting (n = 18) | 0.74 ± 0.02 | 59 ± 5 | 17 ± 3 | −59 ± 1 |
Regular spiking (n = 7) | 0.83 ± 0.04* | 97 ± 13* | 14 ± 4 | −58 ± 1 |
Sag ratio was calculated by dividing the steady-state voltage by the peak voltage response to a hyperpolarizing current injection of 200 pA. R-input, input resistance; RMP, resting membrane potential.
Significant difference between bursting and regular-spiking neurons (P < 0.05).
Two-fold difference in Ih conductance between bursting and regular-spiking neurons
After determining the firing mode of subicular neurons in current-clamp mode, the recording configuration was switched to voltage clamp and Ih was characterized. A protocol in which a range of hyperpolarizing voltage steps were given from a holding potential of −50 mV was used to elicit Ih. In bursting neurons, this resulted in slowly activating inward currents that were considerably larger in amplitude in bursting neurons than those in regular-spiking neurons (Fig. 2A). The current–voltage (I–V) relationship of Ih displayed inward rectification and showed that the threshold for Ih activation is around −60 mV in both classes of neurons (Fig. 2B). At room temperature, the maximal conductance of Ih in bursting neurons was 5.3 ± 0.5 nS (n = 22) and in regular-spiking neurons was 2.2 ± 0.6 nS (n = 11; Fig. 2C, P < 0.05). The potential of half maximal activation (Vh) was −76 ± 2 mV for bursting neurons and for regular-spiking neurons was −73 ± 2 mV. Slope parameters (Vc) were 8.8 ± 0.2 and 8.7 ± 0.6 mV, respectively. Vh and Vc were not significantly different in the two classes of neurons. At physiological temperature, the maximal conductance of Ih in bursting neurons was 6.1 ± 0.5 nS (n = 18) and in regular-spiking neurons was 3.2 ± 0.9 nS (n = 7), with no differences in either Vh or Vc (Table 2). These results show that bursting neurons in the subiculum posses an Ih that is two-fold larger than Ih in regular-spiking neurons, whereas the voltage-dependence of Ih is similar in both classes of neurons.
Table 2.
gmax (nS) | Vh (mV) | Vc (mV) | τ (ms) | |
---|---|---|---|---|
23°C | ||||
Bursting (n = 22) | 5.3 ± 0.5 | −76 ± 2 | 8.8 ± 0.2 | 117 ± 6 |
Regular spiking (n = 13) | 2.2 ± 0.6* | −73 ± 2 | 8.7 ± 0.6 | 133 ± 9 |
33°C | ||||
Bursting (n = 18) | 6.1 ± 0.5 | −72 ± 1 | 10.7 ± 0.8 | 35 ± 3 |
Regular spiking (n = 7) | 3.2 ± 0.9* | −75 ± 2 | 10.8 ± 1.1 | 42 ± 8 |
The parameters maximal conductance (gmax), voltage of half maximal activation (Vh) and slope factor (Vc) were determined from the fit of the Boltzmann equation to the voltage-dependent activation. τ is the time constant of activation at −120 mV.
Significant difference between bursting and regular-spiking neurons (P < 0.05).
Ih currents typically activate slowly, and the time constant of activation decreases upon hyperpolarization. The different subunits that underlie functional Ih channels (HCN1–4) display different activation kinetics. To investigate whether the Ih in bursting and regular-spiking neurons display differences in kinetics, we fitted current traces with single exponential functions to determine the time constants of activation as a function of voltage (Fig. 3A). In bursting as well as regular-spiking neurons, the time constant of activation decreased with increasing hyperpolarization, indicating a faster activation. However, at no given voltage did the mean time constant differ significantly between the two classes of neurons at either room temperature or at physiological temperature (Table 2). The reversal potential of Ih was determined by a voltage protocol in which a hyperpolarization to −120 mV was followed by a range of step depolarizations (Fig. 3B). Extrapolation of a linear fit between −120 and −60 mV resulted in the reversal potential of Ih. The mean reversal potential of Ih in bursting neurons was −26 ± 2 mV (n = 17), which was not significantly different from the mean reversal potential in regular-spiking neurons (−24 ± 2 mV, n = 9). These results show that the voltage-dependent characteristics of Ih do not differ between bursting and regular-spiking neurons, suggesting that a substantial difference in subunit composition of Ih in the two classes of neurons is unlikely.
Whole-cell recordings are potentially distorted as a result of space-clamp issues; therefore, in addition we determined cell-attached Ih amplitude and kinetics. Double-patch recordings were performed at 30–33°C with one electrode used in the whole-cell current-clamp configuration to determine cell type and one electrode used to establish a cell-attached voltage clamp to record Ih at a patch membrane potential of −120 mV. This showed a mean cell-attached Ih amplitude of 10.4 ± 1.9 pA (n = 10) in bursting neurons and 4.3 ± 1.2 pA (n = 7) in regular-spiking neurons (P < 0.05). The mean time constant of Ih at a patch membrane potential of −120 mV was 44 ± 6 ms (n = 9) in bursting neurons and 55 ± 5 ms (n = 5) in regular-spiking neurons, which is not significantly different. These results confirm the two-fold difference in whole-cell Ih conductance and the similarity in Ih kinetics in bursting and regular-spiking neurons and indicate that these are not the result of potential space-clamp problems arising from differential gradients of Ih along the somato-dendritic axis.
Ih does not determine firing mode of subicular neurons
Given the two-fold difference in Ih between bursting and regular-spiking neurons, we examined the role of Ih in determining the firing pattern of the two classes of neurons. In bursting neurons, we blocked the large Ih with the Ih antagonist ZD7288 (20 μm). Application of ZD7288 abolished Ih (Fig. 4A, middle panel) and consequently abolished the depolarizing sag (Fig. 4A, compare upper and lower panels). Furthermore, blockade of Ih abolished anodal break potentials and rebound action potentials. Although blocking Ih in three of four neurons affected the number of action potentials within the burst, the qualitative nature of the burst did not change (Fig. 4A, lower panel). In regular-spiking neurons, we enhanced the relatively small Ih by making use of a dynamic clamp (Fig. 4B, middle panel). Increasing Ih two- to eight-fold enhanced the sag and tended to reduce the frequency of action potentials. Increasing Ih also augmented the anodal break potentials. However, increasing Ih in the regular-spiking neurons never resulted in burst firing. These results indicate that the sole manipulation of the amplitude of Ih does not change the firing mode of subicular neurons from bursting into regular-spiking or vice versa.
Bursting neurons display less temporal summation of EPSPs
Ih strongly affects the temporal integration of synaptic inputs in both hippocampal CA1 and neocortical pyramidal neurons (Magee, 1998, 1999; Williams & Stuart, 2000; Berger et al. 2001). Therefore we investigated the temporal integration of synaptic input in subicular bursting and regular-spiking neurons. As the CA1 area is one of the main input pathways to the subiculum and the final synaptic relay in the hippocampus proper, the alveus, at the border of the CA1 area and the subiculum, was stimulated to evoke single subthreshold EPSPs (1.5–4 mV) in subicular neurons. Single EPSPs in regular-spiking neurons had similar rise times (2.8 ± 0.4 ms), but slower decay kinetics (44 ± 11 ms, n = 7) than the single EPSPs observed in burst-firing neurons (3.0 ± 0.2 ms and 18.2 ± 0.2 ms, respectively, n = 13, P < 0.05 for the decay, Fig. 5A). The EPSCs that underlie these EPSPs, recorded from the somata of the neurons under voltage clamp, were not different between bursting and regular-spiking neurons (rise time: bursting, 1.7 ± 0.2 ms, n = 15; regular-spiking, 1.5 ± 0.3 ms, n = 6; time constant of decay: bursting, 7.4 ± 0.7 ms, n = 16; regular-spiking, 7.4 ± 2.4 ms, n = 6). Temporal summation of synaptic input was investigated in current clamp at two different stimulation frequencies: 20 and 50 Hz. At 20 Hz, bursting and regular-spiking neurons showed the same moderate level of temporal summation (bursting, 34 ± 11%, n = 10; regular-spiking, 29 ± 4%, n = 6, Fig. 5A). However, in response to input of higher frequency (50 Hz), bursting neurons showed only half the temporal summation (57 ± 16%, n = 9) of that observed in regular-spiking neurons (133 ± 24%, n = 6, P < 0.05, Fig. 5A). To confirm the pivotal role of Ih in temporal summation of synaptic input, we blocked Ih with ZD7288 (20 μm) in both classes of neurons. In bursting neurons, ZD7288 increased the time constant of decay of the EPSPs (43 ± 11 ms, n = 5, Fig. 5B), whereas in regular-spiking neurons, ZD7288 had little effect on the time constant of decay (43 ± 3 ms, n = 4, Fig. 5B). In addition, the difference in temporal summation between the two classes of neurons was abolished in the presence of ZD7288. The mean level of summation at a stimulation frequency of 50 Hz while Ih was blocked was 138 ± 45% (n = 4) in bursting neurons and 141 ± 38 (n = 4) in regular-spiking neurons (Fig. 5B). The mean level of summation at a stimulation frequency of 20 Hz while Ih was blocked was 104 ± 32% (n = 5) in bursting neurons and 79 ± 22% (n = 4) in regular-spiking neurons. These results indicate that bursting neurons display less temporal summation than regular-spiking neurons, particularly in response to high-frequency input. Furthermore, the different levels of Ih between bursting and regular-spiking neurons appear to be crucial for the distinct levels of temporal summation between the two classes of neurons.
Computer simulations confirm the role of distinct levels of Ih in temporal summation of synaptic input
In order to verify the role of Ih in determining the different temporal summation of synaptic input in bursting and regular-spiking neurons, we implemented a quantified subicular neuron with different levels of Ih and examined how this affected synaptic integration. In accordance with our measurements and previously reported data (Staff et al. 2000), the same neuronal morphology was used for bursting and regular-spiking neurons (Fig. 6A and B). Assuming an intracellular resistivity of 150 kΩ cm−1, the model was then tuned to the following boundary conditions. (1) Ih was implemented assuming a density gradient in the dendrite that reached its maximum 500 μm from the soma. We implemented a gradient of 1: 7 (i.e. somatic density to density at 350 μm from the soma) based on previous physiological studies of Ih in hippocampal CA1 pyramidal neurons (Magee, 1998). Simulated voltage-clamp experiments on the model cell with a somatic electrode were performed in the final configuration of the model to confirm that Ih as measured in the soma matched the experimental data, giving a somatic gmax of 0.0120 mS cm−2 for bursting neurons and 0.0045 mS cm−2 for regular-spiking neurons. (2) The ratio for K+ and Na+ leak currents in each compartment was adjusted to attain a uniform resting membrane potential of −65 mV. The absolute value of the leak was scaled to match the recorded impedance of bursting and regular-spiking neurons and to correspond to the experimentally determined response to synaptic stimulation under Ih blockade, resulting in a leak conductance of 0.025 mS cm−2 for both classes of neurons. (3) Uniformly over the membrane surface of the dendrite (starting at 100 μm below the soma, dots in Fig. 6A), glutamatergic synapses were implemented as changes in membrane conductance with a reversal potential of 0 mV, a peak conductance of 300 pS, and rise and decay time constants of 0.5 and 3 ms, respectively, which, when recorded from the soma, reproduced the experimentally observed EPSC rise and decay time constants. A fraction of the synapses (36 in total) were activated synchronously and this resulted in an EPSP at the soma with an amplitude of ∼5 mV and time constants for rise (bursting, 3.2 ms; regular-spiking, 3.4 ms) and decay (bursting, 24 ms; regular-spiking, 44 ms) similar to those obtained experimentally (Fig. 6C).
Temporal summation of synaptic input as a function of frequency was analysed in both model neurons (high and low levels of Ih), revealing differences that matched the experimental observations (Fig. 6E). The values calculated from simulations with stimulation at 50 Hz corresponded well with the experimentally obtained data (bursting, 83%; regular-spiking, 117%). Deleting Ih from the model to simulate the pharmacological block of Ih by ZD7288 increased these values to 142% and 141%, respectively (Fig. 6D). Simulations with a stimulation frequency of 20 Hz also corresponded well to the experimental data for the regular-spiking neuron (experimental, 29 ± 4%; simulated, 19%), whereas for the bursting neuron, the model predicted less summation than was actually observed (experimental, 34 ± 11%; simulated, −4%, Fig. 6E). The lower degree of summation could be due to the fact that the model does not take potential presynaptic mechanisms of facilitation that might be relevant at these stimulation frequencies into account.
Discussion
The main finding we report here is that bursting and regular-spiking neurons of the rat subiculum exhibit a considerable difference in Ih. Bursting neurons posses a two-fold larger Ih conductance than regular-spiking neurons. The voltage-dependent properties of Ih in both classes of neurons were similar. The large Ih conductance, which is not causally related to the ability to fire in bursts, ensures less temporal summation of evoked synaptic input onto bursting neurons, which implies that they are better suited to discriminate the frequency content of a high-frequency input. This important intrinsic difference between bursting and regular-spiking neurons may provide information about the physiological relevance of bursting and regular-spiking neurons in the subicular network.
From randomly chosen neurons in the rat subiculum, we found fractions of bursting (64%), regular-spiking (31%) and fast-spiking neurons (6%) that agreed well with previous studies in rat (Taube, 1993; Greene & Totterdel, 1997; Gigg et al. 2000) and guinea-pig (Stewart & Wong, 1993). Bursting and regular-spiking neurons did not appear to differ in obvious morphological characteristics and were both dispersed throughout the subiculum, which also corresponds well with previously reported data (Greene & Totterdel, 1997). Bursting neurons displayed larger sags and lower input resistance than regular-spiking neurons, which correlated with a two-fold difference in maximal Ih conductance at both room temperature (bursting, 5.3 ± 0.5; regular-spiking, 2.2 ± 0.6 nS) and at physiological temperatures (bursting, 6.1 ± 0.5; regular-spiking, 3.2 ± 0.9 nS). The difference in sag ratio was not reported in a previous detailed study of the cellular properties of subicular neurons (Staff et al. 2000). This discrepancy most probably results from the fact that only small hyperpolarizing current steps (5–10 mV) were given from resting membrane potential to test sag ratios in the study by Staff et al. (2000); such steps are not likely to activate much Ih. The voltage-dependence, reversal potential and kinetics of Ih did not differ between the two classes of neurons. No detectable difference in membrane potential between the two classes of neurons was noted, although one would expect a relatively depolarized resting membrane potential in bursting neurons because of the larger Ih, which has a reversal potential around −25 mV. This suggests that, in addition to Ih, there may be other voltage-gated or leak conductances that are different between bursting and regular-spiking neurons.
In hippocampal CA1 and neocortical layer 5 neurons, Ih is present in relatively low densities at the soma whereas Ih density steadily increases along the apical dendrite towards the distal dendrites (Magee, 1998; Berger et al. 2001). For subicular pyramidal neurons, a gradient for HCN1, one of the subunits underlying functional Ih channels, was shown to exist using high-resolution immunolocalization (Lörincz et al. 2002). In this study, no link was made to the physiology of subicular neurons and direct evidence for a dendritic gradient of Ih in both classes of subicular neurons is therefore still lacking. However, the fact that the authors did not report distinct quantitative differences for sampled neurons could indicate that both bursting and regular-spiking neurons might exhibit somato-dendritic gradients of Ih channels. In our model, using a ratio of 1: 7 (at 350 μm), similar to the distribution of Ih in hippocampal CA1 pyramidal neurons (Magee, 1998), we show that the temporal summation of synaptic input in both bursting and regular-spiking neurons can be qualitatively reproduced (Fig. 6D and E). However, because the parameters of the model solely relied on the somatic whole-cell measurements and were restricted by the use of a uniform synaptic input to the dendritic tree, the model could not confirm that a somato-dendritic gradient for Ih as implemented was necessary to explain the experimental data (data not shown).
It has been suggested that bursting and regular-spiking neurons project to different areas. Thus, Stewart (1997) reported that subicular neurons do not differ in their input pathways, but that they differ in their projection areas. This study showed that whereas the responses of bursting and regular-spiking neurons to orthodromic stimulation from either CA1, presubiculum or entorhinal cortex did not differ qualitatively, they differed significantly in their responses to antidromic stimulation from these areas. Thus, bursting neurons were antidromically driven from presubiculum, but not from the entorhinal cortex or CA1, whereas regular-spiking neurons were antidromically driven from entorhinal cortex and CA1, but not presubiculum. As we show here that bursting neurons are better suited to discriminate high-frequency input, this could mean that such information is preferentially relayed to the presubiculum whereas lower-frequency input is distributed to all projecting areas by both classes of subicular neurons.
The ability to fire in bursts has been proposed to ensure reliable synaptic transmission at synapses that have a low probability of transmitter release in response to single action potentials (Miles & Wong, 1986; Lisman, 1997; Snider et al. 1998). This means that potentially, bursting neurons more reliably transmit input at any frequency compared to regular-spiking neurons. Here we report that bursting neurons will also more reliably discriminate the frequency content of high-frequency (>20 Hz) synaptic inputs compared to regular-spiking neurons. In vivo, during waking and rapid eye movement (REM) sleep, high-frequency input to the subiculum occurs in the form of gamma oscillations (∼40–60 Hz), which result from the temporally organized discharge of hippocampal and entorhinal neurons (Bragin et al. 1995; Chrobak & Buzsaki, 1998). Our results suggest that during gamma oscillations, bursting neurons will better discriminate the frequency content of its inputs than regular-spiking neurons. This might be useful for the transfer and storage of information during learning processes, but may also have a role in the transmission of seizures in the subiculum during epilepsy (Harris & Stewart, 2001; Cohen et al. 2002).
Acknowledgments
J.A.v.H. is supported by a fellowship of the Royal Netherlands Academy of Arts and Sciences. We thank Menno Witter and Evelien Timmermans-Huisman for their help in reconstructing subicular neurons.
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