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The Journal of Neuroscience, November 22, 2006, 26(47):12325-12338; doi:10.1523/JNEUROSCI.3521-06.2006

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Cellular/Molecular
Somatodendritic Kv7/KCNQ/M Channels Control Interspike Interval in Hippocampal Interneurons

J. Josh Lawrence,^1 * Fernanda Saraga,^2,3,4 * Joseph F. Churchill,¹ Jeffrey M. Statland,¹ Katherine E. Travis,¹ Frances K. Skinner,^2,3,4,5 and Chris J. McBain¹

¹Laboratory of Cellular and Synaptic Neurophysiology, National Institute of Child Health and Human Development, National Institutes of Health, Bethesda, Maryland 20892, ²Toronto Western Research Institute, University Health Network, ³Department of Physiology, ⁴Department of Medicine (Neurology), and ⁵Institute of Biomaterials and Biomedical Engineering, University of Toronto, Toronto, Ontario, Canada M5T 2S8

	Abstract

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The M-current (I_M), comprised of Kv7 channels, is a voltage-activated K⁺ conductance that plays a key role in the control of cell excitability. In hippocampal principal cells, I_M controls action potential (AP) accommodation and contributes to the medium-duration afterhyperpolarization, but the role of I_M in control of interneuron excitability remains unclear. Here, we investigated I_M in hippocampal stratum oriens (SO) interneurons, both from wild-type and transgenic mice in which green fluorescent protein (GFP) was expressed in somatostatin-containing interneurons. Somatodendritic expression of Kv7.2 or Kv7.3 subunits was colocalized in a subset of GFP+ SO interneurons, corresponding to oriens-lacunosum moleculare (O-LM) cells. Under voltage clamp (VC) conditions at –30 mV, the Kv7 channel antagonists linopirdine/XE-991 abolished the I_M amplitude present during relaxation from –30 to –50 mV and reduced the holding current (I_hold). In addition, 0.5 mM tetraethylammonium reduced I_M, suggesting that I_M was composed of Kv7.2-containing channels. In contrast, the Kv7 channel opener retigabine increased I_M amplitude and I_hold. When strongly depolarized in VC, the linopirdine-sensitive outward current activated rapidly and comprised up to 20% of the total current. In current-clamp recordings from GFP+ SO cells, linopirdine induced depolarization and increased AP frequency, whereas retigabine induced hyperpolarization and arrested firing. In multicompartment O-LM interneuron models that incorporated I_M, somatodendritic placement of Kv7 channels best reproduced experimentally measured I_M. The models suggest that Kv3- and Kv7-mediated channels both rapidly activate during single APs; however, Kv3 channels control rapid repolarization of the AP, whereas Kv7 channels primarily control the interspike interval.

Key words: antiepileptic; action potential; hippocampus; interneuron; M-current; neuromodulation; potassium channel

	Introduction

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The M-current (I_M) is a K⁺ conductance known to operate at subthreshold voltages and is a common target of neuromodulation throughout the CNS (Jentsch, 2000; Cooper and Jan, 2003). In CA1 pyramidal cells, I_M is inhibited by muscarinic acetylcholine receptor (mAChR) activation (Halliwell and Adams, 1982), controls action potential (AP) frequency (Gu et al., 2005), and generates a medium afterhyperpolarization (mAHP) after single or multiple APs (Gu et al., 2005) that prevents the development of a postspike afterdepolarization (Yue and Yaari, 2004). In these cells, I_M is probably composed of Kv7.2 and Kv7.3 channel subunits (Wang et al., 1998; Shah et al., 2002), the expression of which is critical in controlling cell and network excitability (Peters et al., 2005).

Hippocampal interneurons are also highly sensitive to neuromodulation (Parra et al., 1998), which may be important in promoting coherent oscillations and synchronization in the hippocampus (Toth et al., 1997; Buzsaki, 2002; Cobb and Davies, 2005; Lawrence et al., 2006b). Although interneurons are strongly activated by acetylcholine (McQuiston and Madison, 1999; Lawrence et al., 2006a) and possess numerous K⁺ conductances (Zhang and McBain, 1995a, b; Martina et al., 1998, 2000; Lien et al., 2002; Lien and Jonas, 2003), the question of whether interneurons possess I_M has received little attention. Recently, we demonstrated that oriens-lacunosum moleculare (O-LM) cells generate a large mAChR-dependent afterdepolarization that is partially dependent on I_M inhibition (Lawrence et al., 2006a), but the nature of how I_M itself impacts excitability in stratum oriens (SO) interneurons has not yet been explored in detail. Moreover, the cellular localization of Kv7 channels in neurons has recently become a point of interest. Although early immunocytochemical evidence indicated that Kv7 subunits were localized somatodendritically on hippocampal pyramidal cells (Cooper et al., 2000; Shah et al., 2002) and interneurons (Cooper et al., 2001), an additional population of Kv7 channels has been more recognized recently on the axon initial segment and nodes of Ranvier of CNS neurons (Devaux et al., 2004; Chung et al., 2006; Pan et al., 2006). Kv7 channel antagonists modulate axonal excitability (Devaux et al., 2004), raising uncertainty about whether axonal or dendritic Kv7 channels mediate I_M-dependent changes in cellular excitability originally described in hippocampal pyramidal neurons (Yue and Yaari, 2004; Gu et al., 2005) and interneurons (Lawrence et al., 2006a).

In this study, we identified Kv7 channels in CA1 SO interneurons through both immunocytochemical and electrophysiological means. We built realistic multicompartment interneuron models and explored how the cellular localization of Kv7 channels influenced the somatic detection of I_M measured experimentally. We found that both experimentally measured I_M and its influence on cellular excitability could be best reproduced by somatodendritic placement of Kv7 channels. Using our model, we found that I_M is strongly recruited by APs and is a major dendritic conductance controlling the interspike interval (ISI) in hippocampal interneurons.

	Materials and Methods

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Immunocytochemistry. All experiments were conducted in accordance with animal protocols approved by the National Institutes of Health. To permit quantification of Kv7.2 (KCNQ2) and Kv7.3 (KCNQ3) subunits in anatomically identified interneuronal populations, a mouse strain was chosen in which green fluorescent protein (GFP) is expressed in a population of inhibitory neurons [the GFP-expressing inhibitory neurons (GIN) line of transgenic mice (Oliva et al., 2000)]. In the CA1 hippocampus, GIN mice label a population of somatostatin-positive (SOM+) interneurons that project axonally to stratum lacunosum moleculare (SLM) (Oliva et al., 2000). GFP+ SO interneurons are solely comprised of the well characterized O-LM cells, whereas GFP+ cells in stratum radiatum (SR) form a relatively newly discovered population of SOM+ neurons that also project to SLM. Male mice of both GIN and wild-type (B6/C57J; Charles River Laboratories, Wilmington, MA) animals, 3–6 months of age, were perfused using an ice-cold 0.1 M phosphate buffer solution containing 4% paraformaldehyde and 15% picric acid, adjusted to pH 7.4 with NaOH. Briefly, the brains were fixed overnight, cryoprotected in 30% sucrose for several days, sliced to 30 µM thickness using a freezing microtome, and kept at 4°C for up to 3 weeks until used. Free-floating sections were incubated with primary antibodies for 12–48 h in a 0.1 M PBS containing 0.1% Triton X-100 and 4% BSA (Sigma-Aldrich, St. Louis, MO). Rabbit-KCNQ2 (1:3000) and rabbit-KCNQ3 (1:2000) primary antibodies were used (Chemicon, Temecula, CA), comparable with that originally described by Yus-Najera et al. (2003). In slices containing GFP+ interneurons, the goat anti-rabbit secondary antibody Alexa Fluoro 633 (1:1000 dilution; Invitrogen, Carlsbad, CA) was chosen to ensure sufficient separation from the GFP wavelength. After incubation of the secondary antibody for 60 min at room temperature, processed slices were mounted onto Superfrost Plus slides (Fisher Scientific, Pittsburgh, PA), allowed to dry, immersed in Mowiol (Calbiochem, La Jolla, CA), coverslipped, and dried overnight. Confocal microscopy was performed using either Leica (Exton, PA) TCS or Zeiss (Thornwood, NY) LSM 510 2-Photon Meta confocal microscopes. For the laminar quantification of Kv7.2+ or Kv7.3+ cells within GFP+ interneuronal populations, cell counts, detected by eye, were based on a total of four brains, 20 slices per brain, and 40 images (both hemispheres) of CA1 hippocampus. Images of CA1 hippocampus were loaded into the confocal module of Neurolucida (Autoneuron v.6.0; MicroBrightField, Williston, VT) and quantified in contour mode. GFP/488 and Kv7/633 channels were viewed independently and together to ensure unambiguous colocalization of Kv7 subunits in GFP+ populations. As controls, sections omitting the primary antibody, or omitting both primary and secondary antibodies, were processed in parallel and imaged at the same confocal settings (i.e., gain and pinhole size).

Electrophysiology. Transverse hippocampal slices (300 µm) were cut from 14- to 21-d-old mice from 129J1(50%) x CF1(50%), C57/B6, or FVB/N backgrounds. The dissection solution consisted of the following (in mM): 130 NaCl, 3.5 KCl, 1.25 NaH₂PO₄, 25 NaHCO₃, 10 glucose, 7 MgCl₂, 0.5 CaCl₂, saturated with 95% O₂/5% CO₂, pH 7.4. In more recent experiments, a partial sucrose cutting ringer was used, consisting of the following (in mM): 80 NaCl, 24 NaHCO₃, 25 glucose, 75 sucrose, 2.5 KCl, 1.25 NaH₂PO₄, 4 MgCl₂, 0.5 CaCl₂, 3 Na-pyruvate, 1 ascorbate, saturated with 95% O₂/5% CO₂, pH 7.4. Experiments were conducted using an upright Zeiss microscope and submerged slice chamber (Infrapatch; Luigs and Neumann, Ratingen, Germany). The speed of solution exchange was 1 min, as estimated by a single exponential fit to the mean change in I_hold at –30 mV by 10 µM linopirdine (see Fig. 2I). Loose patch and whole-cell patch-clamp recordings were made from visually identified interneurons on the SO/alveus border of the CA1 using an Axoclamp 200B or Multiclamp 700A amplifier (Molecular Devices, Union City, CA), filtered at 3 kHz (Bessel filter; Frequency Devices, Haverhill, MA), and digitized at 10–40 kHz (Digidata 1320A and pClamp Software; Molecular Devices). Loose-patch recordings were chosen over tight seal recordings for their noninvasiveness and excellent signal-to-noise ratio (Nunemaker et al., 2003; Pouille and Scanziani, 2004). A 3–5 M electrode was placed on the soma, and negative suction was applied to the pipette until a low resistance seal of 7–20 M was achieved. Action currents were recorded in voltage clamp (VC) mode with no voltage applied (V = 0). Stability of the loose-patch recording was monitored via a –1 mV, 100 ms duration step at 30 s intervals. Unless otherwise stated, for whole-cell recordings, the extracellular solution (ECS) contained the following (in mM): 125 NaCl, 2.5 KCl, 2 CaCl₂, 1 MgCl₂, 1.25 NaH₂PO₄, and 20 glucose. DL-APV (100 µM), DNQX (25 µM), and gabazine (5 µM) were added to the ECS to block NMDA, AMPA, kainate, and GABA_A receptors, respectively. Except in loose-patch and current-clamp (CC) recordings (see Fig. 7), tetrodotoxin (1 µM) was added and CsCl (5 mM) was replaced with equimolar NaCl in VC experiments to block Na⁺ channels and the hyperpolarization-activated current I_h, respectively. For VC recordings in which strong depolarizing voltage steps were introduced, CaCl₂ was lowered to 0–0.5 mM and MgCl₂ elevated to 2–4 mM to reduce the activation of a slow Ca²⁺-activated K⁺ conductance (Lawrence et al., 2006a). In some experiments, 50 µM CdCl₂ or 2 mM EGTA was added to further reduce the influence of I_AHP. Recording pipettes were filled with the following (in mM): 135 K-gluconate, 10 HEPES, 0.1 EGTA, 2 Na₂ATP, 0.3 Na₂GTP, 20 KCl, pH 7.3. In more recent experiments, to take additional precautions against the possibility of I_M rundown (Suh and Hille, 2002), an intracellular solution was used containing the following (in mM): 110 K-gluconate, 10 HEPES, 0.1 EGTA, 4 Mg-ATP, 0.3 Na₂GTP, 10 Na-phosphocreatine, pH 7.2. Biocytin (0.2%) was added for post hoc morphological processing of each recorded cell. Linopirdine and XE-991 (XE) were purchased from Tocris Cookson (Ellisville, MO); all other drugs were purchased from Sigma-Aldrich. Voltage measurements were not corrected for a calculated liquid junction potential of –13.8 mV but were accounted for in multicompartment models.

Electrophysiological analysis. Current-clamp analysis and leak subtraction was performed off-line using software written in Axograph 4.7 (Molecular Devices) by the authors. For the analysis of loose-patch recordings, spontaneous action currents were detected with a sliding template (derived from raw traces) using a detection threshold of three times the SD of the noise (Clements and Bekkers, 1997). For current-clamp analysis, APs were detected using a detection threshold of 5 V/s. For leak subtraction, a –5 mV seal test from –60 mV preceded each depolarizing stimulus. The steady-state current, derived from the single exponential fit to the average of 18–24 seal tests, was scaled to the voltage waveforms and subtracted from the average current trace. Outward currents generated by depolarizing voltage steps were the average of three separate trials. Traces obtained in control conditions and in the presence of I_M antagonists were both leak subtracted before obtaining XE-991 or linopirdine-sensitive components via digital subtraction.

For outward current traces measured in control and in the presence of I_M antagonists, deactivation was sufficiently described by three exponentials (see Fig. 6A), as judged by a more than twofold reduction in ² compared with a two exponential fit (Origin; Microcal, Northampton, MA). To overcome the poor signal-to-noise ratio in the XE-991 or linopirdine-subtracted traces, fitted exponentials curves obtained in control and drug condition were subtracted from each other. This yielded a curve that described the XE-991 or linopirdine-sensitive component well. Data are presented as means ± SEM.

Transfection of human embryonic kidney 293 cells with Kv3.1/Kv3.2 plasmids. Human embryonic kidney 293 (HEK293) cells were cultured in DMEM + 10% FBS (Invitrogen). Transfections were performed using FuGENE6 Transfection Reagent (Roche Applied Science), according to the specifications of the manufacturer. cDNA clones expressing Kv3.1b or Kv3.2a were cotransfected with pIRES2-EGFP (Clontech, Cambridge, UK) at a ratio of 4:1. A total amount of 0.5 µg of DNA was used to transfect 5e⁴ HEK293 in 1 ml of suspension. After transfection, cells were plated on poly-D-lysine-coated 18 mm glass coverslips in 12-well plates. Outward currents were generated from isolated GFP+ HEK293 cells 24–48 h after transfection. Data acquisition was made on two channels. On one channel, recording stability was monitored via the peaks of the capacitance transients; on the second channel, leak subtraction was performed with an on-line P/4 protocol using pClamp software.

Neurolucida reconstructions. In a subset of electrophysiological recordings, slices were fixed in 4% paraformaldehyde (>24 h) in 0.1 M phosphate buffer. Slices were immersed in PBS and resectioned into 70 µm sections on a freezing microtome. Biocytin staining was revealed using an avidin-biotin-peroxidase reaction (ABC Standard Kit; Vector Laboratories, Burlingame, CA). Slices were mounted on gelatin-coated glass slides, dehydrated, and coverslipped with Permount. Digital reconstruction of interneuron morphologies was performed with a Zeiss bright-field light microscope driven by Neurolucida software (MicroBrightField, Colchester, VT).

Multicompartment modeling of O-LM interneurons. Vector coordinate files of two O-LM cells (see Fig. 4, cells 1 and 2) were imported from Neurolucida to the shareware program cvapp (www.compneuro.org/CDROM/docs/cvapp.html), which enabled the user to test electrical connectivity between soma and all processes. The reconstructions were then imported into NEURON (http://www.neuron.yale.edu).

The passive properties of a cell included the membrane capacitance, C, the axial resistivity, R_a, the leak channel conductance, _L, and the reversal potential of the leak channel, E_L. For the multicompartment models here, an additional potassium leak channel was incorporated with conductance, _KL, and reversal potential, E_K. Passive properties (R_a, _L, E_L, and _KL) were optimized uniformly throughout the somatic, dendritic, and axonal tree of the full morphology models to match experimentally measured current traces using a voltage step protocol from –60 to –65 mV for each particular cell (see Fig. 8F). The membrane capacitance, C, was fixed at 0.9 µF/cm² (Gentet et al., 2000).

Although little is known about the properties of channels in interneuronal axons, the axonal surface area makes up a large fraction of the total surface area of the interneuron. To limit errors produced by choosing arbitrary parameters for the large surface area of the axonal membrane, and to speed computation, the axonal morphology was reduced to the point at which it enters the SLM region of the hippocampus. Because the axonal morphology was reduced, the passive properties were reoptimized in the reduced axon segments while keeping the somatic and dendritic passive properties fixed to the previously determined values (see Table A1 in Appendix for values, available at www.jneurosci.org as supplemental material). This provided a correction for reducing the surface area. These reduced morphologies were used for all simulations.

Input resistance (R_m) was measured experimentally from each cell using a seal test protocol from –60 to –65 mV. The steady-state current difference before and after the voltage step was used in combination with the known voltage difference to calculate R_m of each cell. The experimentally measured values for R_m were 349 M for cell 1 and 506 M for cell 2. With the optimized passive properties, as described above, the model interneurons have a R_m of 318 M for cell 1 and 524 M for cell 2. Membrane time constants (_m) measured for O-LM interneurons range in value from 33 to 66 ms (Gloveli et al., 2005). For the model interneurons, _m values were 49 ms for cell 1 and 45 ms for cell 2, which fall within this experimentally measured range.

A kinetic model for I_M was designed from values obtained from experiments. The model was based on three main experimental parameters. First, activation time constants were obtained by fitting single exponentials to linopirdine-sensitive current traces. Second, the deactivation kinetics of I_M, with special attention given to the slow relaxation time constant of deactivation from –30 to –50 mV, was modeled based on experimental data. Finally, the experimental somatic current voltage (I–V) relationship of the I_M-mediated component was used to estimate the density and voltage dependence of g_M in the models. Tail currents were not consistently observed experimentally, resulting from possible space clamp and leak subtraction errors associated with the whole-cell recording configuration. However, the model explicitly incorporated the series resistance (R_s) and accounted for space-clamp errors related to the dendritic geometry of the neuron. This allowed V_1/2 and k values to be adjusted in the model until the experimentally derived relationship between the command voltage and the somatically generated current was reproduced. The optimal values for V_1/2 and k were –27 mV and 7, respectively, in agreement with values reported in the literature (Jow and Wang, 2000; Prole et al., 2003). To simulate the effect of XE991, the conductance g_M was set to 0. The effect of the drug retigabine was simulated by shifting the V_1/2 of the steady-state activation curve from –27 to –60 mV (Wickenden et al., 2000) while keeping the conductance value the same as in the control cases.

The equations describing dynamics are summarized briefly here. First, the discrete version of the cable equation, an approximation to the original partial differential cable equation, describes the evolution of voltage in each compartment k, V_k as follows:

where C = 0.9 µF/cm² for all compartments. The sum is taken over all compartments n that are connected to compartment k. _n,k is the internal conductance (reciprocal of axial resistivity; 1/R_a) between the respective compartments. I_ionic,k is the transmembrane ionic current for compartment k. Inward currents, which depolarize the membrane, are by convention, negative. For simplicity, the compartment subscript k will be dropped from hereafter.

The term I_ionic encompasses various ionic currents that were chosen from literature and experiments performed specifically on this interneuron subtype (Migliore et al., 1995; Zhang and McBain, 1995a, b; Maccaferri and McBain, 1996; Destexhe et al., 1998; Martina et al., 2000; Lien et al., 2002; Saraga et al., 2003). These currents include the traditional Hodgkin–Huxley sodium current, I_Na, two (fast and slow) delayed rectifier K⁺ currents, I_Kdrf and I_Kdrs, the transient K⁺ current, I_A, the L-type calcium current, I_CaL, the T-type calcium current, I_CaT, the calcium-activated K⁺ current, I_K(Ca), the hyperpolarization-activated cation current, I_h, and the muscarinic K⁺ current, I_M. In each compartment and at each time, the current through a channel is proportional to its maximal conductance, , multiplied by its respective Hodgkin–Huxley gating variables, which include activation variables, m, and an inactivation variable, h, where applicable. Some channels do not inactivate and therefore the inactivation variable, h, is not included for these currents. m and h gating variables are representatives of the activation and inactivation variables for the particular ionic current and are not to be considered the same for the different currents.

The sum of the intrinsic membrane terms that, in each compartment, contribute to I_ionic can be written as follows:

where the reversal potential for sodium, E_Na = 50 mV, for potassium, E_K = –95 mV, and for the hyperpolarization-activated cation channel, E_h = –32.9 mV. When referring to conductance (g) throughout the text, this conductance is equal to the conductance density, , multiplied by the activation variable, m. See Table A2 and A3 (available at www.jneurosci.org as supplemental material) for conductance values, distributions, and kinetic equations.

The somatodendritic distribution of I_h is not known for interneurons. Because in hippocampal pyramidal neurons, I_h is distributed in both the soma and dendrites (Magee, 1998), we compared both somatic only and somatic-dendritic distributions of I_h. The density of h-channels was adjusted in the two cases so as to produce the same "sag" when a hyperpolarizing step current of 100 pA was applied to the soma (soma only, 5.00 x 10^–5 S/cm²; somatodendritic, 1.56 x 10^–6 S/cm²). Neither the spontaneous frequency (2.6 vs 2.3 Hz) nor the response of the cell to 100 pA of tonic depolarizing current injected into the soma (9.4 vs 9.2 Hz) differed substantially between soma only and somatodendritic conditions, respectively. Because results were very similar for both distributions of I_h, all subsequent simulations were performed with only somatic I_h.

All VC simulations, excluding the –30 to –50 mV protocol, were done with only I_M and passive properties included in the models. All ion channels described above were included for the CC simulations. For the –30 to –50 mV VC simulations, the conductance values for I_Na, I_K(Ca), I_CaT, I_CaL, and I_h were set to zero, simulating the experimental effects of TTX, CdCl₂, and 5 mM CsCl.

	Results

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Laminar and cellular distribution of Kv7 channels in hippocampal interneurons
Although Kv7 channels have been detected in the somata of SO CA1 parvalbumin (PV)-positive interneurons (Cooper et al., 2001), probably corresponding to a subpopulation of basket cells (Somogyi and Klausberger, 2005), an additional interneuronal population of PV-negative Kv7+ interneurons was found in SO that has not been identified either neurochemically or morphologically. To determine whether Kv7 subunits were present in anatomically identified interneuron populations, we used the so-called GIN mice, in which GFP is expressed predominantly in somatostatin-positive interneurons (Oliva et al., 2000). In these mice, GFP+ SO cells in CA1 hippocampus are comprised entirely of O-LM cells (Oliva et al., 2000), an abundant and well characterized SO cell type (Maccaferri and Lacaille, 2003; Maccaferri, 2005). Although GFP+ cells are present in other hippocampal layers, these cells represent SOM+ interneurons, the axons of which also ramify exclusively in SLM (Oliva et al., 2000).

Kv7.2 immunoreactivity was strong in the somata of pyramidal cells but also in interneurons in SO (Fig. 1B). A subset of GFP+ SO cells expressed Kv7.2+ (Fig. 1A,B, arrows). In addition, Kv7.2 expression was detected in the dendrites of GFP+ SO cells (Fig. 1C,D, filled arrows). Similar labeling of Kv7.3 in both soma and dendrites was detected in GFP+ SO cells (Fig. 1E–H). Quantification of Kv7 subunits in GFP+ cells revealed that as a population, 39.7 ± 6.3% (150 of 377) of GFP+ SO cells were Kv7.2 positive. However, GFP+ SR/SLM interneurons did not express Kv7.2 to the same extent (16.8 ± 7.3%, 32 of 191 cells; p < 0.05; n = 4). For Kv7.3 subunits, a similar distribution was observed: Kv7.3 labeling was detected in 34.3 ± 4.0% (143 of 417) of GFP+ SO cells but only 16.14 ± 4.1% (36 of 223) of GFP+ SR/SLM cells (p < 0.01; n = 4). The expression of Kv7.2 and Kv7.3 subunits to similar extents within SO and SR/SLM GFP+ cell populations are consistent with the idea that Kv7.2/Kv7.3 heteromers form a common channel composition in the hippocampus (Cooper et al., 2000; Hadley et al., 2003; Delmas and Brown, 2005). Axonal labeling of Kv7.2 and Kv7.3 was essentially absent in SLM, where the axons of GFP+ cells form a dense plexus (Fig. S1, available at www.jneurosci.org as supplemental material). In summary, immunocytochemical labeling of Kv7.2 and Kv7.3 subunits was localized to somatodendritic regions of CA1 SO interneurons and is more abundantly expressed in GFP+ SO cells (most likely O-LM cells) than in other GFP+ cell populations.

View larger version (75K): [in this window] [in a new window]   Figure 1. Somatodendritic expression of Kv7.2 (A–D) and Kv7.3 (E–H) in GFP+ hippocampal interneurons. Confocal images of CA1 hippocampal slices from GIN transgenic mice, which express GFP in somatostatin-positive CA1 hippocampal interneurons in SO, SP, and stratum radiatum (SR), are shown. GFP expression (A) and Kv7.2+ immunoreactivity (B) reveal colocalization of Kv7.2 in a subpopulation of GFP+ cells (arrows). GFP+ cells in SO exhibit Kv7.2 immunoreactivity on somata (C, double arrows) and dendrites (C, D, single filled arrows). Open arrows in D indicate a Kv7.2-immunoreactive dendrite from a GFP-negative interneuron. GFP+ interneurons (E) also colocalize with Kv7.3 immunoreactivity (F, arrows). In a GFP+ SO interneuron (G), somatic (H, double arrow) and dendritic (H, single arrows) Kv7.3 immunoreactivity was also apparent. Scale bars: B, F, 100 µm; D, H, 25 µm.

 
Electrophysiological detection of Kv7 channels in SO interneurons
Using a protocol that reveals I_M through its distinct voltage dependence and time course of deactivation from other K⁺ channels (Lamas et al., 1997; Schnee and Brown, 1998), we determined whether I_M could be revealed in SO interneuron populations. In this protocol, the cell was held at –30 mV; 1 s long, –20 mV steps were introduced every 15 s (Fig. 2). Under control conditions, a step to –50 mV forced deactivation of a slowly relaxing outward current that decayed with a time constant of 106 ms (Fig. 2A), consistent with the presence of I_M. The amplitude of the single exponential fit, in this case 20 pA, was used as an index of how much I_M was present. After repolarization to –30 mV, I_M was observed to reactivate, although this observation was not always in a symmetrical manner because of the reactivation of one or more additional conductances present. After obtaining a 2–3 min baseline, the Kv7 antagonist linopirdine (10 µM) was added to the bath, causing a complete loss of measurable I_M over the course of 4 min (Fig. 2A), accompanied by a reduction in I_hold from 221 to 86 pA (Fig. 2B). As demonstrated in Figure 2, C and D, a similar time course and extent of block was observed using the Kv7 antagonist XE-991 (4 µM), which abolished the 21 pA I_M-mediated current detected in control conditions and reduced I_hold from 160 to 21 pA at –30 mV. In contrast, the Kv7 channel opener retigabine had the reverse effect, enhancing the amplitude of the I_M-mediated relaxation from 18 to 32 pA (Fig. 2E), which was accompanied by an increase in I_hold from 167 to 355 pA (Fig. 2F).

View larger version (41K): [in this window] [in a new window]   Figure 2. Detection of IM in SO interneurons using linopirdine, XE-991, and retigabine. In VC, a step was applied from –30 to –50 mV at 15 s intervals. After a 2 min baseline period, a 4 min application of 10 µM linopirdine (A, B), 4 µM XE-991 (C, D), or 10 µM retigabine (E, F) was applied to the bath. Traces enumerated in A, C, and E are the average of three traces within a 45 s window as indicated by the bars in B, D, and F, respectively. Traces were filtered at 500 Hz for display. Control traces (gray) are overlaid for comparison with drug conditions (black). IM amplitudes (G) and Ihold (H) at –30 mV for mean data (columns) and individual cells (points) for linopirdine (n = 19), XE-991 (XE; n = 11), and retigabine (ret; n = 15) conditions are shown. Each condition in G and H was paired with its initial control value obtained in a 45 s window before the onset of application of the drug. GFP+ SO cells, anatomically identified O-LM cells, and unidentified SO cells are indicated by black symbols, gray symbols, and open symbols, respectively. I, Time course of changes in Ihold during application of linopirdine (circles), XE-991 (squares), or retigabine (triangles), normalized to the initial Ihold before drug application.

 
Distributions of I_M amplitude and drug-induced changes in I_hold at –30 mV for individual cells and the mean are plotted in Figure 2G–I. In linopirdine experiments, a measurement of I_M amplitude could be obtained in 19 of 27 (70.4%) SO interneurons; the average I_M amplitude was 11 ± 1.2 pA, which decayed with an average time constant of 193 ± 57 ms. After 4 min application of 10 µM linopirdine at –30 mV, I_M amplitude was abolished to 0.1 ± 0.1 pA (Fig. 2G) (n = 19; p = 4 x 10^–8), and I_hold was reduced from 122 ± 11 to 71 ± 9 pA (Fig. 2H) (n = 19; p = 7 x 10^–6). The initial I_M amplitude and linopirdine-induced change in I_hold were correlated (p = 0.013). In eight cells, I_M was not detected; however, linopirdine produced a smaller but significant decrease in I_hold at –30 mV (–17.5 ± 3.8 pA; p = 0.002). Similarly, in experiments in which XE-991 was used, I_M was detected in 11 of 17 (64.7%) SO cells (mean, 10.5 ± 1.7 pA). In the presence of XE-991, I_M was completely abolished (Fig. 2G) (p = 0.0001; n = 11), and the mean I_hold at –30 mV decreased from 146 ± 16 to 82 ± 16 pA (Fig. 2H) (p = 0.0002; n = 11). A significant correlation was also seen between I_M amplitude and the shift in I_hold induced by XE-991 (p = 0.0008; n = 11). Retigabine increased the mean I_M amplitude from 12.1 ± 2.6 to 21.0 ± 3.1 pA (Fig. 2G) (p = 0.002; n = 15) and the mean I_hold at –30 mV from 128 ± 16 to 227 ± 32 pA (Fig. 2H) (p = 0.0001; n = 15). The initial I_M amplitude and the magnitude of the increase in I_hold at –30 mV by retigabine were correlated (p = 0.016; n = 15). Figure 2I plots the mean I_hold at –30 mV, normalized to the initial I_hold, for each of the three drug conditions. Note that linopirdine and XE-991 overlap well in both magnitude and time course of inhibition of I_hold at –30 mV. In summary, using three different modulators of Kv7 channels, these data reveal the presence of I_M in SO interneurons.

Tetraethylammonium sensitivity of interneuronal I_M
In recombinant and native systems, Kv7.2-containing subunits are selectively blocked by submillimolar concentrations of tetraethylammonium (TEA) (Hadley et al., 2000, 2003; Shah et al., 2002). To determine whether Kv7.2-containing channels contributed to I_M in SO interneurons, 0.5 mM TEA was applied to SO interneurons held at –30 mV (Fig. 3). For these experiments, SO recordings were limited to those in which I_M amplitude was detected (Fig. 3A). A 4 min application of 0.5 mM TEA blocked the I_M amplitude from 26.9 ± 6.9 to 13.1 ± 4.4 pA (p = 0.002; n = 10) (Fig. 3B) and reduced I_hold at –30 mV (from 160.3 ± 39.0 to 132.2 ± 37.4 pA; p = 2.6 x 10^–5; n = 10) (Fig. 3C). We then asked whether 4 µM XE-991 could occlude the effects of TEA on I_M amplitude and I_hold. Application of 4 µM XE-991 inhibited I_M (38.6 ± 6.9 to 6.2 ± 1.1 pA) and reduced I_hold at –30 mV (246.3 ± 26.2 to 192.5 ± 29.4 pA; p = 0.0006), but subsequent application of 0.5 mM TEA plus 4 µM XE-991 did not produce a further reduction in I_M amplitude (5.8 ± 1.6 to 5.7 ± 2.0 pA; p = 0.97; n = 7) (Fig. 3B) or I_hold (188.9 ± 41.2 to 185.5 ± 35.6 pA; p = 0.86; n = 7) (Fig. 3C). These findings suggest that a substantial fraction of I_M is carried by TEA-sensitive, Kv7.2-containing subunits.

View larger version (17K): [in this window] [in a new window]   Figure 3. TEA sensitivity of interneuron IM. TEA (0.5 mM) was bath applied to SO interneurons or after inhibition of IM with 4 µM XE-991 (XE). A, Current response to a –20 mV step from –30 mV under control conditions (cont) and after a 4 min application of 0.5 mM TEA. Gray lines in A indicate single exponential fits from which IM amplitude was obtained. Plots of IM amplitude (B) and Ihold (C) at –30 mV for each condition (n = 10) are shown. Filled symbols indicate recordings from morphologically identified O-LM cells.

 
Morphology of I_M-containing SO interneurons
In 48 cells from wild-type animals in which sufficient biocytin filling of the axon permitted identification of the cell type, 43 I_M-containing cells were found to be O-LM cells (89.6%), consistent with O-LM cells being a commonly encountered cell type in SO (Maccaferri, 2005). Other I_M-containing cells included four cells in which the axon terminated primarily in the pyramidal cell layer (8.3%), which most likely correspond to basket cells (Fig. 4, cell 4), and one cell in which the axon ramified primarily in SO (2.1%). Representative Neurolucida reconstructions of five I_M-containing cells are shown in Figure 4. As previously described in rats (Martina et al., 2000), O-LM cell morphologies featured cells in which the axon originated either from a proximal dendrite (cells 1, 2) or the soma (cells 3, 5).

View larger version (24K): [in this window] [in a new window]   Figure 4. Anatomical identification of IM-containing SO interneurons. Neurolucida reconstructions of 4 O-LM cells (cells 1–3, 5) and one putative basket cell (cell 4) are shown. Strata are labeled stratum oriens (o), pyramidale (p), radiatum (r), and lacunosum moleculare (lm). Cells 1 and 2 were used in subsequent simulations. Arrows denote where the axon emerged from the dendrite (cells 1 and 2) or cell body (cells 3–5).

 
In a subset of recordings, we recorded from 27 GFP+ SO cells. In several cells in which sufficient axonal labeling allowed the unambiguous identification of the cell type, GFP+ SO cells were found to project to LM, as reported previously (Oliva et al., 2000). Consistent with the heterogeneity in immunocytochemical detection of Kv7.2/Kv7.3 in GFP+ cell populations (Fig. 1), the magnitude of I_M (Fig. 2G, black symbols) and change in I_hold (Fig. 2H, black symbols) fell across a 2–20 pA range in recorded GFP+ SO cells. In addition, in 4 of 17 (23.5%) GFP+ SO cells, an I_M amplitude was not detected (data not shown).

I_M-mediated outward currents in SO interneurons
After sustained depolarization, hippocampal CA1 SO interneurons produce large outward K⁺ currents (Zhang and McBain, 1995b; Martina et al., 1998; Lien et al., 2002). In addition to a transient I_A-type conductance, the outward conductance is comprised of a sustained component thought to be carried by Kv3-like channels and to a smaller extent by Ca²⁺-sensitive conductances (Zhang and McBain, 1995b; Lien et al., 2002). Importantly, in previous studies, Kv3-like outward currents in SO interneurons were isolated based on their TEA sensitivity (Zhang and McBain, 1995b; Martina et al., 1998; Lien et al., 2002), which we now show will also block interneuronal I_M in these neurons (Fig. 3). Moreover, the same protocols used to activate the sustained outward current would be expected to activate I_M (Martina et al., 1998; Lien et al., 2002).

To address whether an I_M-like conductance was present in the sustained outward current of hippocampal CA1 SO interneurons, we introduced a large depolarizing voltage step from –60 mV and determined to what extent I_M antagonists blocked the outward current. As illustrated in Figure 5A (inset), a +100 mV voltage step command from –60 mV generated an outward current of 7.8 nA amplitude, which was reduced to 6.8 nA after incubation of the I_M antagonist XE-991 (8 µM). Digital subtraction of the control current from the current obtained in the presence of XE-991 yielded a 1 nA I_M-mediated current that was 13.6% of the total outward current. As revealed by application of XE-991 or linopirdine, plots of individual and pooled isolated I_M outward current amplitudes (Fig. 5A) and the fractional contribution of I_M to the total outward current (Fig. 5B) are shown. With increasing concentration of XE-991, increasingly larger XE-991-sensitive components of the outward current were revealed, as well as the fraction of cells exhibiting I_M-mediated currents. Linopirdine (10 µM) also revealed large I_M-mediated outward currents (1590 ± 374 pA) in six of six cells (p = 0.008, compared with vehicle), comprising 24.2 ± 5.5% of the total outward current.

View larger version (24K): [in this window] [in a new window]   Figure 5. XE-991- and linopiridine-sensitive components of outward currents in SO interneurons. A, Inset, Digital subtraction of the outward current generated by a +100 mV voltage step command from –60 mV in control (C) from that generated after 10 min incubation in 8 µM XE-991 (XE) yields the isolated outward current mediated by IM. Dose dependence of IM antagonist effect, plotted as IM amplitude (A) and as a percentage (B) of the total outward current for vehicle (veh), 4–16 µM XE-991, and 10 µM linopirdine (lin) conditions. Recording stability was first ascertained in the absence of antagonists (vehicle). Recordings in which Rs was <3% after 10 min of whole-cell recording generated subtracted currents that were typically ±300 pA (mean 43 ± 86 pA; n = 7), a negligible amount (0.2 ± 1.3%) of the total outward current (7.5 ± 0.7 nA). Experiments with IM antagonists used the same criteria for recording stability and time point in the recording (at 10 min after application of antagonists). The IM-mediated current was significantly outside of the distribution of the vehicle for 4 of 11 cells in 4 µM XE-991 (733 ± 162 pA; p = 0.01), four of six cells in 8 µM XE-991 (742 ± 164 pA; p = 0.01), three of three cells in 16 µM XE-991 (1227 ± 24 pA; p = 4 x 10–6), and six of six cells in 10 µM linopirdine (1590 ± 374 pA; p = 0.008). C, Linopirdine-sensitive outward currents generated in response to a family of voltage steps from –60 mV to +35 mV. Right, Expanded region showing single exponential fits (gray) to the rise of the outward current. D, Time constant of activation of the linopirdine-sensitive component (LS act; filled circles), the linopirdine-insensitive component (LI act; open circles), and the amplitude of the linopirdine-sensitive component (LS amp; filled squares) plotted versus command voltage for a population of six SO cells.

 
In a separate set of experiments, we examined the time course of activation of the I_M-mediated current by applying a series of increasingly more depolarizing voltage steps in the absence and presence of 10 µM linopirdine (Fig. 5C). After delivering a voltage step from –60 to –25 mV, the isolated I_M activated with an average time constant of 80.0 ± 10.7 ms, consistent with the relatively slow time course of activation of the I_M-mediated current (Selyanko and Brown, 1999; Shah et al., 2002). However, with increasingly stronger levels of depolarization, the time course of I_M activation decreased (Fig. 5D, filled circles) as the amplitude of the I_M outward current increased (Fig. 5D, filled squares). However, the time course of activation of the linopirdine-insensitive component of the outward current (Fig. 5D, open circles) was faster at test voltages between –25 and +35 mV (p < 0.05; n = 6), indicating that linopirdine-sensitive and -insensitive components of the outward current were kinetically distinct from one another.

In addition, we examined how I_M antagonists altered deactivation of the outward current (Fig. 6). In control conditions, depolarization to a command potential of +40 mV generated a 6.4 nA outward current, which, after stepping back to –22.5 mV, generated a complex time course of deactivation that was well described by three exponentials (Fig. 6A, gray). Digital subtraction of the exponential curves obtained in control and in the presence of XE-991 described the deactivation of the I_M-mediated component well (Fig. 6B). Inspection of the amplitudes (Fig. 6C,D), time constants (Fig. 6E,F), and percentages of each component (Fig. 6G,H) revealed that the XE-991-sensitive current is predominantly composed of an intermediate time constant of deactivation (Fig. 6G). The fast component (Fig. 6D,F), which probably reflects deactivation of Kv3 channels, was relatively insensitive to XE-991 (Fig. 6H). Similar results were obtained using 10 µM linopirdine (n = 8; data not shown). Although dendritic filtering will influence the kinetics of deactivation of I_M, these results nevertheless show that I_M mediates a substantial fraction of the intermediate component present in the deactivation of the outward current.

View larger version (20K): [in this window] [in a new window]   Figure 6. IM underlies an intermediate component of outward current deactivation. A, Triple exponential fits (gray) to the deactivation of the outward current after deactivation of –22.5 mV in control (cont) or in the presence of 4 µM XE-991 (XE). Inset, Expanded region showing that the trace obtained in the presence of XE-991 deactivates faster than the trace in control conditions. B, XE-991-senstive (XE-sens) trace (black) and fit (gray) obtained via digital subtraction of the traces and fits in A. Amplitudes (C, D), time constants (E, F), and percentages (G, H) of each component, plotted against the test potential for control (open squares) and XE-991-sensitive traces (filled circles). Percentages in G and H are calculated from the combined amplitude (amp) of fast and intermediate (int) components.

 
Although we show that the outward currents isolated by Kv7 antagonists can be distinguished from the faster (presumably delayed rectifier) component of the outward current based on both their activation (Fig. 5D) and deactivation (Fig. 6C–H) time courses, the observation that the linopirdine-sensitive component activates more rapidly at depolarized potentials (Fig. 5D) than appreciated in recombinant Kv7 channels (Wang et al., 1998) raised the possibility that delayed rectifiers may have some affinity for Kv7 antagonists. Slow-delayed rectifier channels in CA1 pyramidal cells, which are primarily composed of Kv2 channels (Martina et al., 1998), have no appreciable affinity for linopirdine at 10 µM (Schnee and Brown, 1998). However, whether fast delayed rectifiers, which are primarily composed of Kv3 channels in SO interneurons (Martina et al., 1998), have any affinity for Kv7 antagonists is not known.

We tested the effects of linopirdine or XE-991 on recombinant Kv3 channels expressed in HEK293 cells. As shown in Fig. S2 (available at www.jneurosci.org as supplemental material), neither linopirdine nor XE-991 at 20 µM substantially altered the amplitude of Kv3.1- or Kv3.2-mediated outward currents. In addition, we performed a subset of recordings from SO interneurons in the continuous presence of l mM 4-AP, which blocks the majority of Kv3-mediated current (Fig. S2, available at www.jneurosci.org as supplemental material) (Lien et al., 2002). Under these conditions, 10 µM linopirdine attenuated I_M amplitude after stepping from –30 to –50 mV (10.9 ± 2.3 to 0.3 ± 0.3 pA; p = 0.01) and induced changes in I_hold at –30 mV (102 ± 16 to 68 ± 16 pA; p = 0.04; n = 5), similar to that seen in the absence of 4-AP. After strong depolarization to +20 mV, rapidly activating ( = 4.5 ± 1.8 ms), linopirdine-sensitive outward currents (1024 ± 327 pA; n = 5) were observed in the presence of 1 mM 4-AP. Therefore, we conclude that linopirdine- and XE-991-sensitive components of the outward current are indeed carried by Kv7 channels, and that the magnitude and kinetics of the I_M-mediated outward current are unlikely to be substantially contaminated by a Kv3-mediated outward current component.

Effects of I_M modulators on AP firing pattern
As an initial assessment of the physiological consequences of I_M, we took advantage of the observation that many SO interneurons fire spontaneously (McBain et al., 1994; Zhang and McBain, 1995a). Spontaneous firing was monitored as action currents in loose-patch configuration, a noninvasive approach that yields excellent signal-to-noise (Fig. 7A). After bath application of 8 µM XE-991, the mean time interval between APs decreased from 0.44 to 0.24 s (Fig. 7B), corresponding to an 82% increase in AP frequency. In a population of nine cells [three cells using XE-991 (8 µM) and six cells using linopirdine (20 µM)], AP frequency increased by 90.9% (p = 0.039), suggesting that Kv7 channels influence spontaneous firing frequency in SO interneurons.

View larger version (33K): [in this window] [in a new window]   Figure 7. Effects of IM antagonists on AP firing pattern. Loose-patch recording (A) and corresponding cumulative probability plot (Cum prob; B) of action current intervals before (cont) or after (XE) application of 8 µM XE-991. Square current steps near the end of traces in A indicate –1 mV, 100 ms duration seal tests. Spontaneous AP firing (C) and response (D) to a 1 s, 15 pA current step from the resting potential under control conditions (cont) (gray) and in the presence of 20 µM linopirdine (lin) (black). E, Plot of current step amplitude versus AP frequency across a 0–25 pA range for control (gray) and 20 µM linopirdine (black) conditions (p < 0.05; n = 8). Spontaneous AP firing (F) and response (G) to a 1 s, 15 pA current step from the resting potential under control conditions (cont) (gray) and in the presence of 10 µM retigabine (ret) (black). H, Plot of current step amplitude versus AP frequency across a 0–25 pA range for control (cont) (gray) and 10 µM retigabine (ret) (black) conditions (p < 0.05; n = 7).

 
Whole-cell current-clamp recordings were then performed in GFP+ SO cells (Fig. 7C–E). Consistent with loose-patch recordings, 20 µM linopirdine increased the average firing frequency from 1.0 ± 0.7 to 4.5 ± 1.5 Hz (Fig. 7C) (n = 11; p = 0.015), which was accompanied by a depolarization from –57.7 ± 1.5 to –53.1 ± 1.8 mV (n = 11; p = 0.005). In response to 1 s current steps between 5 and 25 pA, linopirdine induced an increase in firing frequency at each current step tested (Fig. 7D,E) (n = 8; p < 0.05). When 15 and 20 pA current step amplitudes were introduced, linopirdine induced robust increases in firing frequency by 10.6 ± 2.6 Hz (n = 8; p = 0.005) and 10.8 ± 2.7 Hz (n = 8; p = 0.005), respectively. However, at 25 pA, the linopirdine-induced increase in frequency was smaller (7.6 ± 3.2 Hz; n = 8; p = 0.045), suggesting that linopirdine effects narrowed as the cell approached maximum firing frequency. We saw no indication that linopirdine altered AP repolarization, providing additional confirmation that linopirdine does not block Kv3 channels. Finally, as an independent means of assessing the effect of I_M on interneuronal excitability, we applied the Kv7 channel opener retigabine (10 µM). In seven of seven neurons, retigabine caused a cessation of spontaneous firing (Fig. 7F), hyperpolarized the cells from –53.6 ± 2.7 to –58.8 ± 1.4 mV (n = 7; p = 0.027), and greatly shunted depolarization-induced firing (Fig. 7G,H).

Therefore, I_M appeared to primarily control the ISI and was particularly effective in influencing firing frequency in response to small depolarizing current steps near the resting potential.

Somatodendritic localization of Kv7 channels best reproduced I_M-mediated outward currents
To understand how the presence and localization of I_M influenced interneuron properties, we turned to multicompartment models of interneurons. Because O-LM cells were the most abundant I_M-containing SO cell type, we chose to model two O-LM cells (Fig. 4, cells 1–2) in which I_M had been pharmacologically detected. In construction of the model, Kv7 channels were localized to different cellular regions: soma only, soma and all dendrites, soma and primary dendrites, and axon only (Fig. 8A–D). Primary dendrites are defined here as dendrites that originate from the soma and extend to the first branch point.

View larger version (19K): [in this window] [in a new window]   Figure 8. Somatodendritic localization of Kv7 channels best reproduced IM-mediated outward currents. A–D, In a multicompartment O-LM interneuron model, IM was localized to soma only (A), soma and primary dendrites (B), soma and all dendrites (C), or axon only (D). Compartmental regions lacking (black) and containing (red) IM are indicated. Insets, IM-mediated outward currents generated by a family of 400 ms somatic voltage step commands from –60 to +35 mV in –15 mV increments. A fixed gM of 0.75 pS/µm2 was used in all simulations. E, IM-mediated current, measured at end of voltage step, versus command voltage for the four IM distributions shown in A–D. F, In the actual electrophysiological recording from the cell that was modeled, stepping from –60 to –65 mV generates a capacitive transient, which enables an estimate of the surface area that is voltage clamped (38.0 pF). Assuming a specific capacitance of 0.9 µF/cm2, somatic VC control is estimated to correspond to the surface area colored in blue. prox dend, Proximal dendrite.

 
For each I_M distribution, the conductance density was adjusted to generate 1 nA of outward current after voltage command to +40 from –60 mV, a value close to that measured in our whole-cell recordings. The density obtained was different for each of the four I_M distributions explored (Table 1). Values ranged from 0.12 pS/µm² for the somatodendritic distribution to 6.40 pS/µm² for the soma only distribution. Interestingly, our predicted density for the soma only distribution of I_M (5.65–6.4 pS/µm²) is very similar to the density used by Hu et al. (2002) in which they included only somatic I_M (6.7 pS/µm²). For the distribution in which I_M was limited to the axon only, conductance levels required to generate a 1 nA somatic current were 280–1200 pS/µm², 50–190 times larger than the density needed in the soma alone and 1600–2300 times larger than needed for somatodendritic distributions. Moreover, the high axonal Kv7 channel density made I_M the dominant repolarizing conductance shaping AP half-width, which greatly abbreviated the AP amplitude, ceased spontaneous firing, and, unlike that measured experimentally (Martina et al., 2000), no longer permitted AP initiation in the axon-bearing dendrite. When I_M density was set to 0.75 pS/µm² for the four distributions, somatodendritic I_M was the largest (Fig. 8A–D, insets), with the other distributions generating less somatic current (Fig. 8E).

View this table: [in this window] [in a new window]   Table 1. Conductance densities for different IM distributions

 
An independent estimate of the I_M density was obtained using experimental measurements of the capacitance transient, which can be used to determine the approximate surface area that is sampled by the somatic recording electrode. In stepping from –60 to –65 mV under whole-cell VC conditions, the capacitance transient was generated in the same cells that were modeled (Fig. 8F, inset) (cell 1, 38.0 pF; cell 2, 32.4 pF). Assuming a specific membrane capacitance of 0.9 µF/cm² and E_K of –95 mV, the density required to generate 1 nA of outward current is as follows:

A similar calculation for cell 2 yields a density of 2.29 pS/µm². These density values lie between those predicted for I_M distributed somatodendritically and I_M distributed in the soma and primary dendrites only (Table 1). This calculated distribution also corresponds well with the immunocytochemical localization of Kv7.2 and 7.3 subunits to the soma and dendrites (Fig. 1).

Simulation of I_M inhibition and enhancement in O-LM interneuron models
Having estimated I_M density and compartmental localization to somatodendritic regions (I_M distributed in the soma and all dendrites was used for all subsequent simulations), we then proceeded to determine the influence of I_M on firing properties in O-LM interneuron models using VC and CC protocols similar to the experimental conditions in Figures 2 and 7. Making g_M equal to zero, which simulated the XE-991 case ("XE"), increased spontaneous firing (Fig. 9A₂) compared with control conditions (Fig. 9A₁). Simulating the action of the Kv7 channel opener retigabine ["ret" (Wickenden et al., 2000)] arrested spontaneous firing (Fig. 9A₃), similar to experimental observations. In response to a 1 s long, 15 pA current step, the XE condition increased AP frequency without changing AP half-width (Fig. 9B₂,E), whereas the ret condition shunted AP firing (Fig. 9B₃,E) compared with control conditions (Fig. 9B₁,E). Interestingly, after introduction of a 5 Hz sinusoidal current, the model exhibited an increase in AP reliability (Fig. 9C₁,C₂) compared with that seen in O-LM cells after mAChR activation (Lawrence et al., 2006). After simulating the effects of XE-991 (Fig. 9D, red) or retigabine (Fig. 9D, blue) in VC, the model also reproduced the shifts in I_hold and changes I_M amplitude apparent (Fig. 9D). Finally, as observed in experimental conditions, the effects of I_M inhibition or enhancement on firing diminished as the model approached maximal firing frequencies (Fig. 9F), suggesting that I_M is most effective in modulating firing frequency at low or moderate current steps. Thus, inhibition or enhancement of somatodendritic I_M in O-LM cell models reproduces salient aspects of I_M-related effects observed experimentally.

View larger version (24K): [in this window] [in a new window]   Figure 9. Simulation of IM inhibition and augmentation in O-LM interneuron model. Simulations were performed on cell 1 with a somatodendritic IM distribution. A, Spontaneous firing simulating in control (A1), XE-991 (A2), and retigabine (A3) conditions. B, Introduction of 1 s long, 15 pA step into the soma for control (B1), XE (B2), and retigabine (B3). C, Sinusoidal current (20 pA) at 5 Hz introduced into the soma for control (C1), XE (C2), and retigabine (C3). D, In VC, a step was applied from –30 to –50 mV for control (gray), XE (red), and retigabine (blue). E, AP frequency in response to 0–25 pA current pulses from the resting potential for control (cont; gray), XE (red), and retigabine (ret; blue) conditions. F, Plot of AP frequency, as a percentage of control frequency, for XE (red) and retigabine (blue) conditions across a wide range of current steps. Note that the effects of XE and retigabine on firing frequency diminish with increasing current step amplitude. The dotted box indicates the range of current step values shared with E.

 
The role of g_M in shaping interneuronal AHP and interspike interval
Under what conditions can interneuronal g_M be activated? In hippocampal pyramidal cells, after eliciting multiple APs, I_M mediates a mAHP (Storm, 1990; Gu et al., 2005). Interestingly, I_M mediates the mAHP even after a single AP (Gu et al., 2005), which was only reproduced when I_M was modeled to have rapid activation kinetics at voltages more positive than –20 mV (Gu et al., 2005). Having experimentally confirmed that I_M activates rapidly in SO interneurons (Fig. 5D), we investigated conditions under which g_M is activated in the O-LM model (Fig. 10). After activation by a single AP (Fig. 10A), g_M reached maximal activation (40%) during AP repolarization (Fig. 10A_ii). Despite this strong activation, I_M plays a negligible role in AP repolarization, because g_Kdrf and g_K(Ca) are the dominant K⁺ conductances (Fig. 10A_iii), with I_M contributing only 6% to the total active K⁺ conductance during repolarization (Fig. 10A_iv). As g_Kdrf and g_K(Ca) rapidly decay after the AP, g_M remains active for several hundreds of milliseconds (Fig. 10A_iii) so that g_M becomes the major conductance during the ISI (Fig. 10A_iv). These observations explain not only how g_M can influence the AHP and spontaneous firing but also why g_M contributes so little to shaping the AP waveform (Fig. 10B_i-iii). The model also accounts, in part, for how g_M can influence the ISI yet, paradoxically, have little effect on the amplitude of the AHP after a 1 s train of APs (Fig. 10C,D) (Lawrence et al., 2006a). When g_M is inhibited, the accompanying increase in AP frequency (Fig. 10C_ii) results in an enhanced accumulation of g_K(Ca) (Fig. 10D_ii,iii), which can obscure a reduction in AHP mediated by g_M inhibition (Fig. 10D_i). Finally, the model is also consistent with published work (Lawrence et al., 2006a), indicating that linopirdine does not change the first spike latency when the cell is depolarized from –60 mV. At this voltage, I_M is active by only 0.12%, contributing very little to R_m or