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First published on July 9, 2004; DOI: 10.1124/mol.104.002543


0026-895X/04/6604-988-1003$20.00
Mol Pharmacol 66:988-1003, 2004

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Pentobarbital Differentially Modulates {alpha}1{beta}3{delta} and {alpha}1{beta}3{gamma}2L GABAA Receptor Currents

Hua-Jun Feng, Matt T. Bianchi, and Robert L. Macdonald

Departments of Neurology (H.-J.F., M.T.B., R.L.M.), Molecular Physiology and Biophysics (R.L.M.), and Pharmacology (R.L.M.), Vanderbilt University, Nashville, Tennessee

Received May 11, 2004; accepted July 8, 2004


    Abstract
 Top
 Abstract
 Materials and Methods
 Results
 Discussion
 References
 
GABAA receptors are modulated by a variety of compounds, including the neurosteroids and barbiturates. Although the effects of barbiturates on {alpha}{beta}{gamma} isoforms, thought to dominate phasic (synaptic) GABAergic inhibition, have been extensively studied, the effects of pentobarbital on kinetic properties of {alpha}{beta}{delta} GABAA receptors, thought to mediate tonic (extra- or perisynaptic) inhibition, are unknown. Using ultrafast drug delivery and single channel recording techniques, we demonstrate isoform-specific pentobarbital modulation of low-efficacy, minimally desensitizing {alpha}1{beta}3 currents and high-efficacy, rapidly desensitizing {alpha}1{beta}3{gamma}2L currents. Specifically, with saturating concentrations of GABA, pentobarbital substantially potentiated peak {alpha}1{beta}3{delta} receptor currents but failed to potentiate peak {alpha}1{beta}3{gamma}2L receptor currents. Also, pentobarbital had opposite effects on the desensitization of {alpha}1{beta}3{delta} (increased) and {alpha}1{beta}3{gamma}2L (decreased) receptor currents evoked by saturating GABA. Pentobarbital increased steady-state {alpha}1{beta}3{delta} receptor single channel open duration primarily by introducing a longer duration open state, whereas for {alpha}1{beta}3{gamma}2L receptor channels, pentobarbital increased mean open duration by increasing the proportion and duration of the longest open state. The data support previous suggestions that GABA may be a partial agonist at {alpha}{beta}{delta} isoforms, which may render them particularly sensitive to allosteric modulation. The remarkable increase in gating efficacy of {alpha}1{beta}3{delta} receptors suggests that {alpha}{beta}{delta} isoforms, and by inference tonic forms of inhibition, may be important targets for barbiturates.


GABAA receptors are ligand-gated chloride channels composed of five subunits with multiple subtypes, including {alpha}1 to {alpha}6, {beta}1 to {beta}4, {gamma}1 to {gamma}3, {delta}, {epsilon}, {pi}, and {theta} (Olsen and Macdonald, 2002Go). The function of GABAA receptor channels is allosterically modulated by many structurally different compounds such as neurosteroids, benzodiazepines, and barbiturates (Rupprecht and Holsboer, 1999Go; Olsen and Macdonald, 2002Go). The modulatory effects of these drugs are subunit selective in some cases (Pritchett et al., 1989Go; Thompson et al., 2002Go; Wallner et al., 2003Go). For example, neurosteroids significantly increased the maximal peak current amplitude and extent of desensitization of GABAA receptors containing a {delta} subunit, but these kinetic responses were not observed for receptors containing a {gamma}2L subunit (Wohlfarth et al., 2002Go).

Pentobarbital is an anesthetic barbiturate and exerts its CNS effects by interacting with GABAA receptors (Olsen and Macdonald, 2002Go). At low concentrations, pentobarbital potentiates GABAA receptor currents (Nicoll and Wojtowicz, 1980Go; Schulz and Macdonald, 1981Go) by increasing the proportion of longer single channel openings and thus increasing mean open duration. At higher concentrations, pentobarbital directly activates GABAA receptors (Nicoll and Wojtowicz, 1980Go; Schulz and Macdonald, 1981Go; Krampfl et al., 2002Go). At millimolar concentrations, pentobarbital inhibits GABAA receptor function, probably through a low-affinity open channel block mechanism (Akaike et al., 1987Go; Rho et al., 1996Go; Akk and Steinbach, 2000Go). These properties of pentobarbital (positive allosteric modulation, direct agonism, and open channel block) are similar to those reported for certain neurosteroids (Lambert et al., 1995Go; Rupprecht and Holsboer, 1999Go).

Although the effects of barbiturates on {alpha}{beta}{gamma} currents, thought to dominate phasic (synaptic) GABAergic inhibition, have been extensively studied, the modulatory effects of pentobarbital on the kinetic properties of {alpha}{beta}{delta} GABAA receptors are still unknown. There is increasing evidence that {alpha}{beta}{delta} receptors may be selectively targeted to extraor perisynaptic membranes, where they are thought to mediate tonic neuronal inhibition by responding to fluctuating concentrations of extracellular neurotransmitters such as GABA (Nusser et al., 1998Go; Bai et al., 2001Go; Stell et al., 2003Go; Wei et al., 2003Go). Recent studies have suggested that pentobarbital plays an important role in modulation of {delta} subunit-containing GABAA receptors. Chronic pentobarbital treatment evoked an alteration of GABAA receptor {delta} subunit mRNA in the CNS (Lin and Wang, 1996Go), and pentobarbital potentiated the response of {delta} subunit-containing GABAA receptors (Adkins et al., 2001Go; Brown et al., 2002Go). In the present study, we transfected cDNAs encoding rat {alpha}1, {beta}3, and {delta} or {alpha}1, {beta}3, and {gamma}2L GABAA receptor subunits into human embryonic kidney (HEK 293T) cells and used ultrafast drug delivery and outside-out patch single channel recording techniques to characterize the distinct effects of pentobarbital on GABAA receptors containing {delta} or {gamma}2L subunits.


    Materials and Methods
 Top
 Abstract
 Materials and Methods
 Results
 Discussion
 References
 
Cell Culture and Recombinant GABAA Receptor Expression. HEK 293T cells (a gift from Dr. P. Connely, COR Therapeutics, San Francisco, CA) were maintained in Dulbecco's modified Eagle's medium (Invitrogen, Carlsbad, CA) supplemented with 10% fetal bovine serum (Invitrogen), 100 IU./ml penicillin, and 100 µg/ml streptomycin (Invitrogen). HEK cells were grown in 10-cm culture dishes (Corning Glassworks, Corning, NY) in an incubator at 37°C with 5% CO2 and 95% air. The cells were passaged at 3- to 4-day intervals using trypsin-EDTA (Invitrogen). One day before transfection, the cells were seeded at a density of 400,000/dish in 60-mm culture dishes (Corning Glassworks). Cells were transfected with cDNAs encoding rat {alpha}1, {beta}3, and {delta} or {alpha}1, {beta}3, and {gamma}2L GABAA receptor subunits using a modified calcium phosphate precipitation method (Fisher and Macdonald, 1997aGo). For each transfection, 2 µg of each subunit cDNA along with 2 µg of pHOOK (Invitrogen) were used. The cells were incubated for 4 h with 3% CO2 and shocked thereafter for 30 s with 15% glycerol in BES-buffered saline (280 mM NaCl, 1.5 mM Na2HPO4·7H2O, 50 mM BES). After continuous incubation with 5% CO2 for 24 h, the cells were collected, and the transfected cells were selected using an immunomagnetic bead separation method (Greenfield et al., 1997Go). The selected cells were replated on 35-mm culture dishes (Corning Glassworks) for whole cell and single channel recordings 24 h later. The percentage of cells that both bound beads and expressed GABAA receptors was 86% (118/137).

Whole Cell and Single Channel Recordings. Whole cell macroscopic currents were obtained with the cell attached to the dish (whole cell recording) or after lifting of the cells (lifted cell recording). Single channel microscopic currents were recorded from excised outside-out patches. Recording electrodes were pulled on a P-87 Flaming Brown micropipette puller (Sutter Instrument Company, Rafael, CA). The whole cell and lifted cell recording electrodes were pulled from the thin-wall borosilicate glass tubing (i.d. 1.12 mm, o.d. 1.5 mm) (WPI, Sarasota, FL) with resistances between 0.8 to 2 M{Omega}, and the single channel recording electrodes were pulled from the thick-wall borosilicate glass tubing (i.d. 0.84 mm, o.d. 1.5 mm) (WPI) with resistances between 6 to 16 M{Omega}. All electrodes were fire polished on an MF-9 Microforge (Narishige, Tokyo, Japan). The single channel recording electrodes were coated with polystyrene Q-dope (GC Electronics, Rockford, IL) after fire polishing to minimize the noise during recording.

Currents were recorded with either an Axopatch 1D or 200A patch-clamp amplifier (Axon Instruments, Foster City, CA) and Digi-data 1200 series interface (Axon Instruments). The data were stored on a PC computer hard drive for offline analysis. Series resistance was not compensated; theoretically, this could lead to an underestimation of the extent of desensitization because voltage errors would be larger at the peak current than after receptor desensitization had occurred. However, we previously reported that desensitization rate and extent were not significantly affected by current size for a broad range of amplitudes, including very large current peaks (5–15 nA) that desensitized ~90% over a 28-s application (Bianchi and Macdonald, 2002Go), suggesting that series resistance errors did not significantly affect our interpretations.

Solutions, Drugs, and Drug Application. All the chemicals were purchased from Sigma-Aldrich (St. Louis, MO). External bath solution was composed of 142 mM NaCl, 1 mM CaCl2, 6 mM MgCl2, 8 mM KCl, 10 mM glucose, and 10 mM HEPES that was standardized to pH 7.4 with NaOH and osmolality to 323 to 329 mOsm. Recording electrodes were filled with an internal solution consisting of 153 mM KCl, 1 mM MgCl2, 10 mM HEPES, and 5 mM EGTA at pH 7.3 and osmolality between 301 and 309 mOsm. MgATP (2 mM) was added to the internal solution on recording days. These solutions produced an ECl near 0 mV and an EK at -75 mV.

GABA and pentobarbital sodium salt were prepared as stock solutions and were diluted to desired concentrations with external solution on the day of the experiment. Applications of drugs were performed using an ultrafast delivery device consisting of multibarrel tubes (two three-barrel square glass tubing glued together) connected to a perfusion fast-step system, a mechanical translation device (Warner Instrument, Hamden, CT). Each of the three-barrel square glasses was heated and manually pulled to the final barrel size (around 200 µm). The external bath solution and drug solutions were driven by gravity. This drug delivery device allowed rapid solution exchanges with 10 to 90% rise times consistently less than 2 ms (typically 0.4–1.0 ms) determined by switches between normal and dilute external solution at an open electrode. However, solution exchanges, even when cells were lifted from the recording dish, were likely to occur with a slower rate. Applications of drugs were separated by an interval of at least 45 s to minimize accumulation of desensitization. GABA-evoked single channel activity was recorded with and without pentobarbital application from excised outside-out patches during steady-state conditions (minutes of exposure to GABA). Voltage was clamped at -75 mV during single channel recordings. All the experiments were performed at room temperature.

Data Analysis and Simulations. Whole cell currents were analyzed offline using Clampfit 8.1 (Axon Instruments) and GraphPad Prism 2.01 (GraphPad Software Inc., San Diego, CA). Peak currents were measured directly (manually) relative to the baseline, and residual currents at "steady state" were measured from the end of 28-s application to baseline after recovery. The extent of potentiation of GABA current by pentobarbital was measured by dividing the peak current of coapplication of a given concentration of GABA and pentobarbital by the peak current evoked by GABA alone. The resulting ratio was multiplied by 100 and expressed as percentage of GABA control. The concentration-response data were normalized and fitted using a four-parameter logistic equation with a variable slope: I = Imax/(1 + 10(LogEC50-Logdrug) · Hill slope). I represented the current evoked by a given concentration of GABA with or without pentobarbital coapplication. Imax denoted the maximal GABA peak current. The extent of current desensitization was measured as a percentage of current reduction, calculated by dividing the amount of desensitized current (amplitude of peak current - amplitude of current at the end of the 4- or 28-s GABA application) by peak current and multiplying by 100. The rate of deactivation was analyzed using standard exponential Levenberg-Marquardt methods. Deactivation currents were fitted with one or two exponential components in the form of a1{tau}1 + a2{tau}2, where a1 and a2 represented the relative amplitudes of the exponential components, and {tau}1 and {tau}2 denoted the time constant. A weighted {tau} was calculated to compare the rates of deactivation using the formula a1 · {tau}1/(a1 + a2) + a2 · {tau}2/(a1 + a2). Single channel data were acquired at 50-µs intervals, filtered at 2 kHz, and analyzed offline with Fetchan 6.0 (Axon Instruments) using 50% threshold detection. Although most patches contained multiple channels based on overlapped openings, only single amplitude openings were included in the analysis. Kinetic analysis was performed using Interval 5 (Dr. Barry S. Pallotta, University of North Carolina, Chapel Hill, NC). Open duration histograms were generated and fitted by the maximum likelihood method. The number of exponential components was increased until an additional exponential component did not significantly improve the fit as determined by a log-likelihood ratio test automatically performed by the software. Events with intervals less than 1.5 times of the estimated system dead time (100 µs) were plotted but not included in the fitting.

Simulations were carried out with the Berkeley Madonna 8.0 software package (www.berkeleymadonna.com), using the fourth order Runge-Kutta algorithm to solve model differential equations with a 100-µs step size. Simulated currents were imported into GraphPad Prism 2.01 (GraphPad Software Inc.) where noise was added before display.

Data were reported as mean ± S.E.M. Paired Student's t test was used to compare current features before and after pentobarbital treatment. Unpaired Student's t test was used to analyze the alterations between different treatment groups. The difference was considered to be statistically significant for p < 0.05.


    Results
 Top
 Abstract
 Materials and Methods
 Results
 Discussion
 References
 
Differential Sensitivity of {gamma}2L and {delta} Subunit-Containing GABAA Receptors to GABA. Whole cell currents were recorded by rapid application of different concentrations of GABA to HEK cells transfected with cDNAs encoding rat {alpha}1, {beta}3, and {gamma}2L or {alpha}1, {beta}3, and {delta} GABAA receptor subunits (Fig. 1A). Cells were voltage clamped at -20 mV for cells transfected with {alpha}1, {beta}3, and {gamma}2L subunits and at -50 mV for those transfected with {alpha}1, {beta}3, and {delta} subunits due to the smaller amplitude of currents recorded in these receptors (Wohlfarth et al., 2002Go). No voltage-dependent effects were observed between -20 and -50 mV in the present study (not shown) and a previous report (Wohlfarth et al., 2002Go). For each GABA concentration, mean peak changes in conductance ({Delta}G) were greater for {alpha}1{beta}3{gamma}2L receptors than for {alpha}1{beta}3{delta} receptors (Fig. 1B). Mean maximal peak {Delta}G for {alpha}1{beta}3{gamma}2L receptors (233.4 ± 41.1 nS; n = 7) was significantly higher than that for {alpha}1{beta}3{delta} receptors (21.0 ± 4.0 nS; n = 6) (p < 0.001). The mean EC50 values for {alpha}1{beta}3{gamma}2L receptors (8.5 ± 6.4 µM) and {alpha}1{beta}3{delta} receptors (5.8 ± 0.7 µM) were not significantly different. The Hill slope for both {alpha}1{beta}3{gamma}2L and {alpha}1{beta}3{delta} receptors was 1.4.



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Fig. 1. Differential GABA sensitivity of {alpha}1{beta}3{gamma}2L and {alpha}1{beta}3{delta} receptors. A, representative whole cell current traces evoked by different concentrations of GABA from {alpha}1{beta}3{gamma}2L and {alpha}1{beta}3{delta} receptors are presented. B, mean peak conductance changes ({Delta}G) with different GABA concentrations are plotted for {alpha}1{beta}3{gamma}2L and {alpha}1{beta}3{delta} receptors. The squares denote the mean peak {Delta}G for {alpha}1{beta}3{gamma}2L receptors (n = 7), and the circles denote {Delta}G for {alpha}1{beta}3{delta} receptors (n = 6). The error bars represent S.E.M. (the error bars are too small to be seen for {alpha}1{beta}3{delta} receptors). The holding potential was -20 mV for {alpha}1{beta}3{gamma}2L receptors and -50 mV for {alpha}1{beta}3{delta} receptors.

 

Differences in Direct Activation and Open-Channel Block of {gamma}2L or {delta} Subunit-Containing GABAA Receptors by Pentobarbital. As reported previously (Schulz and Macdonald, 1981Go; Rho et al., 1996Go; Thompson et al., 1996Go; Krampfl et al., 2002Go), pentobarbital directly activated GABAA receptors at high concentrations. In the present study, pentobarbital-evoked whole cell currents were recorded from {alpha}1{beta}3{gamma}2L and {alpha}1{beta}3{delta} receptors, followed by application of saturating GABA (0.3 mM) for each cell (Fig. 2, A and C). Similar to GABA, pentobarbital evoked smaller mean peak {Delta}G for {alpha}1{beta}3{delta} receptors than for {alpha}1{beta}3{gamma}2L receptors (Fig. 2, B and D, squares). At 1000 µM pentobarbital, {alpha}1{beta}3{delta} receptor mean peak {Delta}G (7.0 ± 2.4 nS; n = 7) was significantly smaller than {alpha}1{beta}3{gamma}2L receptor {Delta}G (109.4 ± 19.0 nS; n = 8) (p < 0.001). However, at higher pentobarbital concentrations, the mean peak {Delta}G for {alpha}1{beta}3{gamma}2L receptors declined. This effect of high pentobarbital concentration was not observed for {alpha}1{beta}3{delta} receptors up to 3000 µM pentobarbital (Fig. 2, B and D, squares). At 3000 µM pentobarbital, the mean peak {Delta}G was still significantly smaller for {alpha}1{beta}3{delta} receptors than for {alpha}1{beta}3{gamma}2L receptors (p < 0.05).



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Fig. 2. Characterization of pentobarbital direct activation and open channel block for {alpha}1{beta}3{gamma}2L and {alpha}1{beta}3{delta} receptors. A, representative currents evoked from the same cell by different concentrations of pentobarbital and 0.3 mM GABA from {alpha}1{beta}3{gamma}2L receptors are presented. B, mean peak conductance changes ({Delta}G) with different pentobarbital concentrations are plotted for direct and rebound currents from {alpha}1{beta}3{gamma}2L receptors (n = 8). C, representative currents evoked from the same cell by different concentrations of pentobarbital and 0.3 mM GABA from {alpha}1{beta}3{delta} receptors are presented. D, mean peak {Delta}G for direct and rebound currents are plotted for {alpha}1{beta}3{delta} receptors (n = 7). The solid line above each current trace denotes the duration of pentobarbital or GABA application. The squares represent the mean peak {Delta}G of the direct currents, and the circles represent those of the rebound currents. The error bars denote S.E.M. The holding potential was -20 mV for {alpha}1{beta}3{gamma}2L receptors and -50 mV for {alpha}1{beta}3{delta} receptors.

 

With higher pentobarbital concentrations, a "rebound" current occurred upon washout of pentobarbital (Fig. 2, A and C). This is consistent with rapid unbinding of pentobarbital from a low-affinity, open channel block site as suggested previously (Rho et al., 1996Go; Thompson et al., 1996Go; Wooltorton et al., 1997Go; Dalziel et al., 1999Go; Akk and Steinbach, 2000Go; Krampfl et al., 2002Go). For both {alpha}1{beta}3{gamma}2L and {alpha}1{beta}3{delta} receptors, the mean peak {Delta}G of rebound current (measured from the current amplitude at the onset of the rebound current) increased as the pentobarbital concentrations increased from 200 to 3000 µM (Fig. 2, B and D, circles). The mean peak {Delta}G of rebound current was significantly less for {alpha}1{beta}3{delta} receptors than for {alpha}1{beta}3{gamma}2L receptors at both 1 and 3 mM pentobarbital (p < 0.05).

For {alpha}1{beta}3{gamma}2L receptors, maximal mean peak {Delta}G evoked by pentobarbital was significantly smaller than mean peak {Delta}G evoked by a saturating GABA concentration. Maximal mean peak {Delta}G evoked by pentobarbital averaged 58.5 ± 8.0% (p < 0.01) of GABA-evoked mean peak {Delta}G. For {alpha}1{beta}3{delta} receptors, maximal mean peak {Delta}G evoked by pentobarbital was 127.1 ± 18.6% of that evoked by a saturating GABA concentration, but this difference did not reach statistical significance. For {alpha}1{beta}3{gamma}2L receptors, maximal mean rebound {Delta}G evoked by pentobarbital was significantly smaller than that evoked by a saturating GABA concentration (80.2 ± 9.1%; p < 0.05). However, for {alpha}1{beta}3{delta} receptors, maximal mean rebound {Delta}G evoked by pentobarbital was 1479.0 ± 590.4% (p < 0.01) of that evoked by a saturating GABA concentration.

For {alpha}1{beta}3{gamma}2L receptors, the pentobarbital-evoked direct current declined during the pentobarbital application (Fig. 2A). This decline likely represented receptor desensitization, although a contribution from open channel block could not be ruled out. This apparent current desensitization was concentration-dependent (300–3000 µM pentobarbital) and was manifested differently in {alpha}1{beta}3{delta} and {alpha}1{beta}3{gamma}2L receptors (Fig. 3A). Whereas only minimal desensitization was observed for {alpha}1{beta}3{delta} receptor currents up to 3000 µM pentobarbital (Fig. 3A), more extensive desensitization was observed for {alpha}1{beta}3{gamma}2L receptors at pentobarbital concentrations greater than 300 µM (Fig. 3A). It is possible, however, that a rapidly equilibrating open channel block mechanism was "masking" macroscopic manifestations of entry into desensitized states, and thus the measurements of apparent desensitization may be underestimated for both isoforms. Furthermore, the activation time with pentobarbital tended to be slower than that observed with GABA, and slow macroscopic activation would preclude observation of fast desensitization (Bianchi and Macdonald, 2002Go).



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Fig. 3. Characterization of the apparent desensitization and deactivation of {alpha}1{beta}3{gamma}2L and {alpha}1{beta}3{delta} receptors currents evoked by pentobarbital. A, mean amounts of desensitization evoked by pentobarbital for {alpha}1{beta}3{gamma}2L and {alpha}1{beta}3{delta} receptors were determined. The percentage of current reductions (desensitization) was increased in a concentration-dependent manner from 300 to 3000 µM pentobarbital for {alpha}1{beta}3{gamma}2L receptors. For the {alpha}1{beta}3{delta} receptors, only minimal desensitization (2–3% current reduction) was observed at 1000 and 3000 µM pentobarbital. B, mean rates of deactivation evoked by pentobarbital for {alpha}1{beta}3{gamma}2L and {alpha}1{beta}3{delta} receptors were determined. The rate of deactivation was increased in a concentration dependent manner from 300 to 3000 µM pentobarbital for {alpha}1{beta}3{gamma}2L receptors. For {alpha}1{beta}3{delta} receptors, the mean weighted deactivation time constant was significantly greater at 3000 µM than at 1000 µM pentobarbital. The blank columns represent the mean apparent desensitization or deactivation of {alpha}1{beta}3{gamma}2L receptors (n = 8), and the filled columns represent those of {alpha}1{beta}3{delta} receptors (n = 7). Absence of columns indicates that the measurements could not be made due to either small amplitude currents or lack of measurable desensitization. The error bars denote the S.E.M. Significantly different from 1000 µM pentobarbital at **, p < 0.01; #, p < 0.05; +++, p < 0.001. Significantly different from 300 µM pentobarbital at ***, p < 0.001.

 

For {alpha}1{beta}3{delta} receptors, the deactivation rates of GABA-evoked currents were not concentration-dependent for concentrations up to 1 mM (data not shown), but significant slowing of deactivation was observed at 3000 µM pentobarbital (Figs. 2C and 3B). For {alpha}1{beta}3{gamma}2L receptors, the deactivation rates of GABA-evoked current were not concentration-dependent at concentrations greater than 10 µM (data not shown). However, the deactivation rates of pentobarbital-evoked current were concentration-dependent at concentrations greater than 300 µM (Figs. 2A and 3B).

Pentobarbital Enhanced Currents Evoked by a High Concentration of GABA from {delta} More than {gamma}2L Subunit-Containing GABAA Receptors. Because low concentrations of pentobarbital (30–50 µM) caused little or no direct activation of current, they were considered modulatory concentrations. Occasionally, pentobarbital at 50 µM alone produced small direct currents for {alpha}1{beta}3{gamma}2L receptors, but the direct currents were minimal (<2%) compared with maximal GABA-evoked currents. Pentobarbital concentrations in this range potentiated GABA-evoked currents for both {alpha}1{beta}3{delta} and {alpha}1{beta}3{gamma}2L receptors. Coapplication of a range of GABA concentrations with 50 µM pentobarbital slightly potentiated {alpha}1{beta}3{gamma}2L receptor currents (Fig. 4B). The currents evoked by coapplication of GABA and pentobarbital as well as GABA alone were normalized to 300 µM GABA. The normalized GABA concentration-response curve was shifted upward (Fig. 4B), with a maximal extent of enhancement of 133.9 ± 19.9% (n = 8). The mean EC50 for GABA + 50 µM pentobarbital (3.8 ± 1.9 µM) was not significantly different from that of GABA alone (8.5 ± 6.4 µM). Pentobarbital at 30 µM also potentiated {alpha}1{beta}3{delta} receptor currents (Fig. 4C). The concentration-response curve was shifted upward (Fig. 4D), and the amplitude of this shift (225.9 ± 15.1%; n = 7) was significantly greater than that observed with {alpha}1{beta}3{gamma}2L receptors (p < 0.001). The mean EC50 for GABA + 30 µM pentobarbital (5.3 ± 1.0 µM) was not significantly different from that of GABA alone (5.8 ± 0.7 µM).



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Fig. 4. Pentobarbital at modulatory concentrations produced greater enhancement of {alpha}1{beta}3{delta} receptor than {alpha}1{beta}3{gamma}2L receptor currents. A, representative current traces evoked by 300 µM GABA and coapplication of 300 µM GABA and 50 µM pentobarbital from {alpha}1{beta}3{gamma}2L receptors are presented. B, concentration-response curves for GABA alone (n = 7) and coapplication of GABA with 50 µM pentobarbital (n = 8) are plotted for {alpha}1{beta}3{gamma}2L receptors. C, representative current traces evoked by 300 µM GABA and coapplication of 300 µM GABA and 30 µM pentobarbital from {alpha}1{beta}3{delta} receptors are presented. D, concentration-response curves for GABA alone (n = 6) and coapplication of GABA with 30 µM pentobarbital (n = 7) are plotted for {alpha}1{beta}3{delta} receptors. The solid line above each representative current trace denotes the duration of drug application. The squares represent the mean normalized response of coapplication of GABA and pentobarbital, and the circles represent that of GABA alone. The error bars denote the S.E.M. (the error bars in D are too small to be seen).

 

Pentobarbital Produced Similar Alterations in Peak Current, Desensitization, and Deactivation of Currents Evoked by a Submaximal Concentration of GABA for {delta} and {gamma}2L Subunit-Containing GABAA Receptors. To demonstrate better the fast component of desensitization and to determine the effect of pentobarbital on GABAA receptor currents evoked by low (1 µM) GABA concentrations during coapplication, cells were lifted from the recording dishes, and pentobarbital was preapplied for 1.5 s before a 4-s coapplication of GABA and pentobarbital. Pentobarbital (100 µM, a concentration that evoked very small currents from both {alpha}1{beta}3{gamma}2L and {alpha}1{beta}3{delta} receptors) substantially enhanced both {alpha}1{beta}3{gamma}2L (660.5 ± 111.9%; n = 6) and {alpha}1{beta}3{delta} (872.0 ± 105.9%; n = 8) receptor currents, but no significant difference in enhancement was observed between these two isoforms (Fig. 5, A–C). When activated by 1 µM GABA, {alpha}1{beta}3{gamma}2L and {alpha}1{beta}3{delta} receptor currents showed minimal apparent desensitization (<3%; Fig. 5, A, B, and D). Coapplication of 1 µM GABA with 100 µM pentobarbital significantly increased the extent of desensitization similarly for both {alpha}1{beta}3{gamma}2L and {alpha}1{beta}3{delta} receptors (~10%; Fig. 5, A, B, and D) (p < 0.01). For these experiments, the extent of current loss during the 4-s applications was used to describe desensitization, rather than fitted desensitization time constants, because the rate of decay was slow relative to the application length, precluding accurate fitting of the time constants.



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Fig. 5. Coapplication (4 s) of 1 µM GABA with 100 µM pentobarbital produced similar alterations in enhancement, desensitization, and deactivation for {alpha}1{beta}3{gamma}2L and {alpha}1{beta}3{delta} receptors. A, representative current traces evoked by 1 µM GABA and coapplication of 1 µM GABA with 100 µM pentobarbital from {alpha}1{beta}3{gamma}2L receptors are presented. The GABA control trace (gray trace) was normalized to the pentobarbital enhanced trace to show the changes in desensitization and deactivation evoked by coapplication of GABA and pentobarbital. B, representative current traces evoked by 1 µM GABA and coapplication of 1 µM GABA with 100 µM pentobarbital from {alpha}1{beta}3{delta} receptors are presented. C, pentobarbital potentiation of GABA currents are plotted for both {alpha}1{beta}3{gamma}2L (n = 6) and {alpha}1{beta}3{delta} receptors (n = 8). D, mean apparent desensitization evoked by 1 µM GABA and coapplication of 1 µM GABA with 100 µM pentobarbital is plotted. E, mean rate of current deactivation evoked by 1 µM GABA and coapplication of 1 µM GABA with 100 µM pentobarbital is plotted. The solid line above each current trace denotes the duration of GABA application, and the dashed line denotes that of pentobarbital application. The blank columns represent the mean desensitization or deactivation of GABA alone treatment, and the filled columns represent that of coapplication of GABA and pentobarbital. The error bars denote the S.E.M. Significantly different from corresponding GABA control at *, p < 0.05, **, p < 0.01. Significantly different from GABA control in {delta} isoform at #, p < 0.001. Significantly different from coapplication of GABA and pentobarbital in {delta} isoform at +, p < 0.001.

 

The currents evoked by 1 µM GABA deactivated significantly faster for {alpha}1{beta}3{delta} receptors than for {alpha}1{beta}3{gamma}2L receptors (Fig. 5, A, B, and E) (p < 0.001). For {alpha}1{beta}3{delta} receptors, the mean current deactivation time constants were significantly increased by pentobarbital from 86.8 ± 12.4 to 271.8 ± 45.9 ms (p < 0.01). In the presence of pentobarbital, the mean current deactivation time constants were significantly increased from 321.2 ± 29.4 to 1257.4 ± 237.9 ms for {alpha}1{beta}3{gamma}2L receptors (p < 0.05). The mean current deactivation time constants in the presence of pentobarbital were significantly smaller for {alpha}1{beta}3{delta} receptors than for {alpha}1{beta}3{gamma}2L receptors (p < 0.001) (Fig. 5E).

Pentobarbital Evoked a Greater Enhancement of Peak Amplitude and Desensitization with a Saturating Concentration of GABA for {delta} than for {gamma}2L Subunit-Containing GABAA Receptors. Although pentobarbital (100 µM) modulation of currents evoked by a 4-s application of low concentration of GABA (1 µM) was not significantly different between {alpha}1{beta}3{delta} and {alpha}1{beta}3{gamma}2L receptors, modulation of currents evoked by a 4-s application of a saturating concentration of GABA (1 mM) by pentobarbital (100 µM) produced a much larger effect on {alpha}1{beta}3{delta} than {alpha}1{beta}3{gamma}2L currents (we used the same preapplication protocol as that for application of 1 µM GABA). Pentobarbital did not enhance the peak {alpha}1{beta}3{gamma}2L receptor current evoked by 1 mM GABA (99.4 ± 5.8%; n = 7) (Fig. 6, A and C). However, pentobarbital evoked a substantial enhancement in peak {alpha}1{beta}3{delta} receptor current (526.4 ± 98.3%; Fig. 6, B and C). Note that in the coapplication condition under which {alpha}1{beta}3{gamma}2L receptor GABA concentration-response curves were generated, 50 µM pentobarbital potentiated currents evoked by 300 µM GABA. The basis for the difference between this enhancement compared with results with 100 µM pentobarbital preapplied for 1.5 s before a jump into 1 mM GABA is unclear but may be related to increased direct gating of the receptors (visible during the preapplication period) that may have resulted in a small amount of "predesensitization", similar to what has been described for preincubation in low concentrations of GABA (Overstreet et al., 2000Go).



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Fig. 6. Coapplication (4 s) of 1 mM GABA with 100 µM pentobarbital produced differential alterations in enhancement and desensitization for {alpha}1{beta}3{gamma}2L and {alpha}1{beta}3{delta} receptors. A, representative current traces evoked by 1 mM GABA and coapplication of 1 mM GABA with 100 µM pentobarbital from {alpha}1{beta}3{gamma}2L receptors. The GABA control trace (gray trace) was normalized to the trace evoked by coapplication of GABA and pentobarbital to show the changes in desensitization and deactivation. B, representative current traces evoked by 1 mM GABA and coapplication of 1 mM GABA with 100 µM pentobarbital from {alpha}1{beta}3{delta} receptors. C, pentobarbital differentially affected the mean GABA peak currents for {alpha}1{beta}3{gamma}2L (n = 7) and {alpha}1{beta}3{delta} (n = 8) receptors. The dashed line indicates 100%. D, comparison of the mean apparent desensitization evoked by 1 mM GABA and coapplication of 1 mM GABA with 100 µM pentobarbital. E, comparison of the mean rate of current deactivation evoked by 1 mM GABA and coapplication of 1 mM GABA with 100 µM pentobarbital. The solid line above each representative current trace denotes the duration of GABA application, and the dashed line denotes that of pentobarbital application. The blank columns represent the mean apparent desensitization or deactivation of GABA alone treatment. The filled columns represent that of coapplication of GABA and pentobarbital. The error bars denote the S.E.M. *, significantly different from corresponding GABA control at p < 0.05; **, significantly different from {gamma}2L isoform or GABA control at p < 0.01; #, significantly different from GABA control in {delta} isoform at p < 0.001. Significantly different from coapplication of GABA and pentobarbital in {delta} isoform at +, p < 0.05; ++, p < 0.01.

 

Currents evoked from {alpha}1{beta}3{gamma}2L receptors by 1 mM GABA exhibited substantial desensitization (78.5 ± 3.5%; Fig. 6, A and D), consistent with previous studies on recombinant GABAA receptors containing a {gamma} subunit (Haas and Macdonald, 1999Go; Burkat et al., 2001Go; Bianchi and Macdonald, 2002Go). However, only minimal desensitization was observed for {alpha}1{beta}3{delta} receptors with this concentration of GABA (14.1 ± 3.9%; Fig. 6, B and D), similar to our previous reports (Haas and Macdonald, 1999Go). Pentobarbital differentially altered desensitization for {alpha}1{beta}3{delta} and {alpha}1{beta}3{gamma}2L receptor currents evoked by 1 mM GABA. The mean percentage of current reduction was significantly increased to 39.1 ± 6.3% (p < 0.01) for {alpha}1{beta}3{delta} receptors. In contrast, the mean percentage of current reduction was significantly decreased by pentobarbital by ~10% to 69.5 ± 5.5% for {alpha}1{beta}3{gamma}2L receptors (p < 0.05) (Fig. 6D).

To evaluate more accurately the effects of pentobarbital on the extent of desensitization, longer duration GABA applications were required for the residual currents to approach a quasi steady state. Thus, both {alpha}1{beta}3{delta} and {alpha}1{beta}3{gamma}2L currents were evoked by long-duration (28-s) pulses of GABA (1 mM). The enhancement of peak currents for long-duration GABA application was within the range of that for 4-s applications for both isoforms. However, the extent of desensitization, compared with 4-s applications, was increased for both isoforms. Specifically, pentobarbital significantly increased the mean residual currents from 868.0 ± 338.1 to 1196.0 ± 392.0 pA for {alpha}1{beta}3{gamma}2L receptors (n = 5) (p < 0.05) as a consequence of a significant reduction in the extent of desensitization from 83.8 ± 2.9 to 78.1 ± 2.2% (p < 0.05) after 28-s GABA application (Fig. 7, A–C). For {alpha}1{beta}3{delta} receptors (n = 4), pentobarbital induced a significant increase in apparent desensitization from 30.0 ± 9.6 to 59.6 ± 10.6% (p < 0.05) after 28-s GABA application, but the mean residual current amplitudes were significantly increased after pentobarbital treatment from 252.5 ± 60.1 to 512.5 ± 121.5 pA (p < 0.05) (Fig. 7, D–F).



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Fig. 7. Pentobarbital significantly enhanced the residual currents for both {alpha}1{beta}3{gamma}2L and {alpha}1{beta}3{delta} receptors after long-duration (28 sec) application of GABA. A, representative current traces evoked by 1 mM GABA (28 s) and coapplication of 1 mM GABA with 100 µM pentobarbital from {alpha}1{beta}3{gamma}2L receptors. B, pentobarbital significantly enhanced the mean residual currents at steady state for {alpha}1{beta}3{gamma}2L receptors (n = 5). C, pentobarbital significantly decreased the apparent desensitization for {alpha}1{beta}3{gamma}2L receptors (n = 5). D, representative current traces evoked by 1 mM GABA (28 s) and coapplication of 1 mM GABA with 100 µM pentobarbital from {alpha}1{beta}3{delta} receptors. E, pentobarbital significantly enhanced the mean residual currents at steady state for {alpha}1{beta}3{delta} receptors (n = 4). F, pentobarbital significantly increased the apparent desensitization for {alpha}1{beta}3{delta} receptors (n = 4). The solid line above each representative current trace denotes the duration of GABA application, and the dashed line denotes that of pentobarbital application. The gray dashed line indicates the level of residual current for GABA controls. The error bars denote the S.E.M. *, significantly different from GABA control at p < 0.05.

 

Although pentobarbital produced differential changes in enhancement of peak current and desensitization for {alpha}1{beta}3{delta} and {alpha}1{beta}3{gamma}2L receptor currents evoked by a saturating concentration of GABA, the rates of deactivation were prolonged in the presence of pentobarbital in both of these receptors after 4-s GABA application (Fig. 6, A and B). The mean current deactivation time constants after activation with 1 mM GABA alone were significantly smaller for {alpha}1{beta}3{delta} receptors than for {alpha}1{beta}3{gamma}2L receptors (p < 0.001) (Fig. 6E). Pentobarbital significantly increased the mean current deactivation time constants from 118.2 ± 32.4 to 471.9 ± 127.8 ms (p < 0.05) for {alpha}1{beta}3{delta} receptors and also significantly increased the mean current deactivation time constants from 388.8 ± 44.6 to 1168.9 ± 272.1 ms for {alpha}1{beta}3{gamma}2L receptors (p < 0.05) (Fig. 6E).

Pentobarbital Introduced a Long-Duration Open State for {delta} Subunit-Containing GABAA Receptor Single Channel Currents. To explore possible bases for the different effects of pentobarbital in modulating macroscopic GABA-evoked currents from {delta} and {gamma}2L subunit-containing GABAA receptors, single channel currents were recorded without and with pentobarbital during steady-state application of GABA to outside-out membrane patches containing {alpha}1{beta}3{delta} or {alpha}1{beta}3{gamma}2L receptors. Data were analyzed from 40 to 480 s after the patch was excised. {alpha}1{beta}3{gamma}2L receptor single channel currents exhibited bursting openings in the presence of 1 mM GABA (Fig. 8A1–3). The distribution of open states was fitted best with three exponential functions (Fig. 8A4), similar to our previous reports (Fisher and Macdonald, 1997bGo; Haas and Macdonald, 1999Go). Coapplication of 1 mM GABA with 100 µM pentobarbital increased the mean duration of channel openings (Fig. 8B1–3), although the distribution of open states was still best described by three exponential functions (Fig. 8B4). Compared with GABA alone, pentobarbital significantly increased the mean channel open duration from 1.45 ± 0.26 ms (n = 5) to 4.86 ± 1.06 ms (n = 5) for {alpha}1{beta}3{gamma}2L receptors (p < 0.05) (Table 1). The time constant of the shortest exponential function ({tau}1) was not significantly altered by pentobarbital. However, pentobarbital significantly decreased the relative area of the shortest exponential function (A1) (p < 0.05) (Table 1). Neither the time constant ({tau}2) nor the relative area (A2) of the second exponential function was significantly altered for {alpha}1{beta}3{gamma}2L receptors (Table 1). Interestingly, the third exponential function time constant ({tau}3) was significantly increased from 4.63 ± 0.81 to 9.37 ± 1.11 ms (p < 0.01), and the relative area (A3) was significantly increased from 18.2 ± 3.04 to 41.4 ± 7.21% (p < 0.05) (Table 1). Pentobarbital at 100 µM alone directly activated single channel currents (Fig. 8C1–3). The open-duration histogram of channel activity evoked by 100 µM pentobarbital (n = 4) was similar to that evoked by 1 mM GABA (Fig. 8A1 and C1), except that {tau}1 was significantly smaller with pentobarbital alone treatment (p < 0.05). Compared with pentobarbital alone, the mean open duration and {tau}3 were significantly increased with coapplication of GABA and pentobarbital (p < 0.05) (Table 1).



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Fig. 8. Single channel {alpha}1{beta}3{gamma}2L receptor currents evoked by 1 mM GABA, coapplication of 1 mM GABA and 100 µM pentobarbital, or 100 µM pentobarbital alone. The portion of each single channel current trace (A1, B1, and C1) below the hatched column was expanded and shown in A2, B2, and C2, and a portion of each trace (A2, B2, and C2) was shown in A3, B3, and C3. Compared with the single channel current evoked by 1 mM GABA or 100 µM pentobarbital, the open duration of single current was prolonged with coapplication of GABA and pentobarbital. The distributions of open states for each treatment are plotted in A4, B4, and C4. The open events for A4, B4, and C4 were 7351, 3976, and 4229, respectively. Each histogram contained the data from a single patch. Note that the time constants and relative areas of the third open states were increased by coapplication of GABA and pentobarbital (the x-axis values for B4 are different than those of A4 and C4).

 

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TABLE 1 Pentobarbital (100 µ M) modulated the open states of GABAA receptors For {alpha}1{beta}3{gamma}2L receptors, the average number of openings were 3758 (GABA), 3899 (GABA + pentobarbital), and 3645 (pentobarbital); and for {alpha}1{beta}3{delta} receptors, 5309 (GABA), 4320 (GABA + pentobarbital), and 3499 (pentobarbital).

 

In contrast to the "high-efficacy" bursting behavior of {alpha}1{beta}3{gamma}2L receptor single channel currents, {alpha}1{beta}3{delta} receptor single channel currents displayed only brief openings (Fig. 9A1–3). The distribution of open states was fitted best with two exponential functions (Fig. 9A4), similar to our previous reports (Fisher and Macdonald, 1997bGo; Haas and Macdonald, 1999Go). Coapplication of 1 mM GABA with 100 µM pentobarbital resulted in an increased mean open duration (Fig. 9B1–3). The distribution of open states in the presence of pentobarbital, however, required three exponential functions (Fig. 9B4). Compared with GABA alone, coapplication of GABA and pentobarbital significantly increased the mean open duration from 0.53 ± 0.04 ms (n = 6) to 1.08 ± 0.17 ms (n = 7) for {alpha}1{beta}3{delta} receptors (p < 0.05) (Table 1). A1 was significantly decreased by pentobarbital (p < 0.05), although {tau}1 was not significantly altered. {tau}2 was significantly increased from 0.90 ± 0.10 to 1.27 ± 0.10 ms in the presence of pentobarbital (p < 0.05). Coapplication of GABA and pentobarbital introduced a third longer duration open state for {alpha}1{beta}3{delta} receptors with a time constant of 4.03 ± 0.59 ms and relative area of 10.3 ± 2.15% (Table 1). The single channel activity evoked by 100 µM pentobarbital alone (n = 5) was different from that evoked by 1 mM GABA alone because open-state distributions required a third longer-duration open state ({tau}3 = 2.95 ± 0.62 ms, A3 = 3.50 ± 0.57%) (Fig. 9C1–4). {tau}1 was significantly smaller for pentobarbital alone treatment than for GABA alone treatment (p < 0.001) (Table 1). Compared with pentobarbital alone, the mean open duration (p < 0.05), {tau}1 (p < 0.001), {tau}2 (p < 0.01), and A3 (p < 0.05) were significantly greater with coapplication of GABA and pentobarbital (Table 1).



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Fig. 9. Single channel {alpha}1{beta}3{delta} receptor currents evoked by 1 mM GABA, coapplication of 1 mM GABA and 100 µM pentobarbital, or 100 µM pentobarbital alone. The portion of each single current trace (A1, B1, and C1) below the hatched column was expanded proportionally and shown in A2, B2, and C2, and a portion of each trace (A2, B2, and C2) was shown in A3, B3, and C3. Compared with the single channel current evoked by 1 mM GABA or 100 µM pentobarbital, the open duration of single current was prolonged with coapplication of GABA and pentobarbital. The distributions of open states for each treatment are plotted in A4, B4, and C4. The open events for A4, B4, and C4 were 4890, 3767, and 4257, respectively. Each histogram contained the data from a single patch. Note that coapplication of GABA and pentobarbital introduced an additional open state, which was not seen with GABA alone. Three open states were observed with pentobarbital treatment alone.

 

Although it was possible that pentobarbital altered closed times or opening frequency in these experiments, we could not accurately analyze these properties because most patches in the current study exhibited overlapping openings, which indicated the presence of multiple active channels. The presence of more than one channel will result in spuriously high measures of open probability and open frequency, as well as low apparent closed duration measurements. Analysis was performed only on individual open durations; burst analysis was not performed due to the presence of multichannel patches that precluded accurate closed state analysis (required to define intraburst closed durations).

Simulation of {alpha}1{beta}3{delta} and {alpha}1{beta}3{gamma}2L Receptor Currents. Although a detailed mechanism of action for pentobarbital could not be proposed based on the current results, we felt that simulations may shed light on two interesting features of the macroscopic data. First, pentobarbital potentiated the peak amplitude of {alpha}1{beta}3{delta} currents but did not potentiate that of {alpha}1{beta}3{gamma}2L currents evoked by a saturating GABA concentration, despite the clear increase in efficacy by prolonging steady-state mean open time. Although this might have been related to limitations of resolving the "true" peak of a rapidly activating and desensitizing current using whole cell methods, could this observation be related to underlying receptor kinetics? Second, pentobarbital exhibited opposite effects on the macroscopic desensitization of {alpha}1{beta}3{delta} and {alpha}1{beta}3{gamma}2L currents. Although this could be related to isoform-specific pentobarbital modulation of rate constants of desensitized states, was it possible that an increase in single channel open time could partly contribute to both of these apparently opposite effects? To explore these issues, we generated simulated currents using our previously established models for {alpha}1{beta}3{delta} and {alpha}1{beta}3{gamma}2L receptors (Haas and Macdonald, 1999Go) (Fig. 10, A and B). For the purposes of this analysis, we were limited to qualitative comparisons, particularly because the models were generated using data obtained with excised patches, a condition of substantially higher temporal resolution than the whole cell configuration (Bianchi and Macdonald, 2002Go).



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Fig. 10. Simulations of {alpha}1{beta}3{delta} and {alpha}1{beta}3{gamma}2L receptor currents. A, kinetic model of {alpha}1{beta}3{gamma}2L receptor behavior (from Haas and Macdonald, 1999Go). Rate constants were kon = 7.0e + 6 s · M-1, koff = 170 s-1, C34 = 710 s-1, C43 = 58 s-1, {beta}1 = 50 s-1, {beta}2 = 1800 s-1, {beta}3 = 76 s-1, {alpha}1 = 3100 s-1, {alpha}2 = 280 s-1, {alpha}3 = 150 s-1, Df = 960 s-1, Rf = 22 s-1, Di = 8 s-1, Ri = 0.81 s-1, Ds = 0.75 s-1, Rs = 0.49 s-1; for clarity, intraburst closed states proceeding from each open state were omitted from the figure (see Haas and Macdonald, 1999Go). B, kinetic model of {alpha}1{beta}3{delta} receptor current response to 1 mM GABA. Rate constants were kon = 6.5e + 6 s · M-1, koff = 18 s-1, C34 = 12 s-1, C43 = 11 s-1, {beta}1 = 80 s-1, {beta}2 = 9 s-1, {alpha}1 = 2400 s-1, {alpha}2 = 600 s-1, Ds = 0.35 s-1, Rs = 0.35 s-1; for clarity, intraburst closed states proceeding from each open state were omitted from the figure (see Haas and Macdonald, 1999Go). C, simulations of {alpha}1{beta}3{gamma}2L receptor-current response to 1 mM GABA under control condition (left trace), as well as decreasing {alpha}2 by 3 (second trace), decreasing both {alpha}2 and {alpha}3 by a factor of 3 (third trace), and decreasing {alpha}3 by a factor of 2 and increasing {beta}3 by a factor of 2 to reflect the observed changes in O3 time constant and relative proportion (right trace). For each trace, the current was generated using a 6 s square pulse of 1 mM GABA. Gaussian noise was added to each current with a standard deviation of 0.5 (on a scale of 0–100 open probability percentage). Dotted lines show the level of the peak and residual current for the control (left) trace for comparison with other conditions. D, simulations of {alpha}1{beta}3{delta} receptors under control conditions (left trace), with {alpha}1 decreased by a factor of 2 (second trace), with {alpha}2 decreased by a factor of 2 (third trace), or both (right trace). For each trace, the current was generated using a 6-s square pulse of 1 mM GABA. Gaussian noise was added to the currents with a standard deviation of 0.5 (on a scale of 0–100 open probability percentage). The apparent increase in noise reflects the decreased open probability of this model relative to the {alpha}1{beta}3{gamma}2L model. The horizontal time scale is the same as that in C. E, simulation showing the occupancy of various states of the {alpha}1{beta}3