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Logo of nihpaAbout Author manuscriptsSubmit a manuscriptHHS Public Access; Author Manuscript; Accepted for publication in peer reviewed journal;
 
J Neurosci. Author manuscript; available in PMC 2011 April 20.
Published in final edited form as:
PMCID: PMC2980950
NIHMSID: NIHMS246489

Experimental Characterization and Mathematical Modeling of P2X7 Receptor Channel Gating

Abstract

The P2X7 receptor is a trimeric channel with three binding sites for ATP, but how the occupancy of these sites affects gating is still not understood. Here we show that naïve receptors activated and deactivated monophasically at low and biphasically at higher agonist concentrations. Both phases of response were abolished by application of Az10606120, a P2X7R-specific antagonist. The slow secondary growth of current in the biphasic response coincided temporally with pore dilation. Repetitive stimulation with the same agonist concentration caused sensitization of receptors, which manifested as a progressive increase in the current amplitude, accompanied by a slower deactivation rate. Once a steady level of the secondary current was reached, responses at high agonist concentrations were no longer biphasic but monophasic. Sensitization of receptors was independent of Na+ and Ca2+ influx and about 30-min washout was needed to reestablish the initial gating properties. T15E- and T15K-P2X7 mutants showed increased sensitivity for agonists, responded with monophasic currents at all agonist concentrations, activated immediately with dilated pores, and deactivated slowly. The complex pattern of gating exhibited by wild-type channels can be accounted for by a Markov state model that includes negative cooperativity of agonist binding to unsensitized receptors caused by the occupancy of one or two binding sites, opening of the channel pore to a low conductance state when two sites are bound, and sensitization with pore dilation to a high conductance state when three sites are occupied.

Keywords: purinergic receptor channels, ATP, sensitization of receptors, biphasic response, pore dilation, Markov state model

Introduction

The P2X7 receptor (P2X7R) is a member of the family of ATP-gated nonselective cation channels expressed in a large variety of cells, including microglia and macrophages (Di Virgilio et al., 2009b; Skaper et al., 2010). Although numerous studies have been done with recombinant P2X7R since its cloning (Surprenant et al., 1996), its gating properties are not well understood. Activation of P2X7R was reported to be monophasic (Pelegrin and Surprenant, 2006) and biphasic (monoexponential plus linear phase or even more kinetically complex secondary phase) (Chessell et al., 2001; Klapperstuck et al., 2001; Smart et al., 2003; Yan et al., 2008). Current deactivation was suggested to follow a monoexponential time course with time constants less than 1s (Klapperstuck et al., 2000) but also biexponential and nonexponential time courses with slow kinetics (Petrou et al., 1997; Rassendren et al., 1997; Yan et al., 2006). In addition to opening of an intrinsic cation-conducting pore, permitting the permeation of monovalent and divalent cations during a brief agonist application and causing plasma membrane depolarization, prolonged or repetitive agonist application promotes the formation of large pores or pathways allowing the bidirectional passage of organic cations of up to 900 Da and the leakage of metabolites (North, 2002).

At least two conflicting hypotheses have been postulated to reconcile these findings: 1) The pore-dilation hypothesis suggests that there is a progressive dilation of the cation-conducting pore from initially 7Å up to 40Å, as observed in whole-cell recording in cells bathed in medium containing large organic cations instead of sodium (Virginio et al., 1999). 2) The two-pore hypothesis implies the activation of an endogenous P2X7R pore permeable for inorganic cations, accompanied by sustained activation of a distinct channel permeable to larger organic cations and fluorescent dyes. The lack of a molecular correlate to pore dilation at the single P2X7R channel level (Riedel et al., 2007), the presence of two distinct ATP binding sites on P2X7R (Klapperstuck et al., 2001), and the finding that the P2X7R-dependent fluorescent dye uptake correlates with recruitment of pannexin-1 hemichannels (Pelegrin and Surprenant, 2006; Locovei et al., 2007) or a modulation of the multidrug transporter P-glycoprotein (Elliott et al., 2005) support the second hypothesis. Both hypotheses provide a rationale for the observation by many laboratories that activation of these receptors causes cell death (Surprenant and North, 2009), but neither explains the finding that activation of these receptors causes cell growth and differentiation (Di Virgilio et al., 2009a; Monif et al., 2009).

Here we address how the occupation of three P2X7R binding sites affects gating. Using an ultra-fast solution-switching system with a time resolution of about 1 ms to minimize the side effects of agonist application, we show that rat P2X7R can activate and deactivate either monophasically, with almost constant amplitude and deactivation kinetics, or biphasically, with increased current amplitude and slowed deactivation. Repeated exposure results in monophasic kinetics, but with large current amplitude and slow deactivation locked in. We also provide a mathematical model that can account for this complex pattern of gating.

Material and Methods

Cell Culture, Transfection and Constructs

EK293 and GT1 cells were used for the expression of various P2X7R constructs, as described previously (Yan et al., 2006). HEK293 cells (obtained from American Type Culture Collection; Manassas, VA) were routinely maintained in Dulbecco’s modified Eagle’s medium containing 10% (v/v) fetal bovine serum (Invitrogen, Carlsbad, CA) and 1% (v/v) penicillin-streptomycin liquid (Invitrogen) in a tissue culture incubator. GT1 cells (provided by Dr. Richard I. Weiner, University of California, San Francisco) were cultured in D-MEM/Ham’s F-12 medium (1:1), containing 10% (v/v) fetal bovine serum and 100 μg/ml gentamicin (Invitrogen). For electrophysiological measurements, HEK293 cells were grown on 35 mm dishes at a density of 0.5 × 106 cells per dish, whereas for imaging studies GT1 cells were grown on 25 mm coverslips placed in 35 mm dishes at a density of 0.1 × 106 cells per dish. Transfection was conducted 24 hours after plating the cells using2 μg of DNA and 5 μl of Lipofectamine 2000 reagent (Invitrogen) in 2 ml of serum-free Opti-MEM. After 4.5 h of incubation, the transfection mixture was replaced with normal culture medium and cells were cultured for an additional 24–48 hours. Transfected cells were mechanically dispersed and re-cultured on 35 mm dishes of Corning 3294 CellBIND Surface for 2 – 8 hours before electrophysiological recording. The rat P2X7-pIRES2-EGFP construct (He et al., 2003) was used for the generation of other constructs. Plasmids containing specific amino acid point mutations of P2X7 cDNA were generated using Quik-Change II XL site directed mutagenesis kit (Stratagene), as previously described (Yan et al., 2008). The mutagenic oligonucleotide primers were synthesized and PAGE purified by Integrated DNA Technology (Coralville, IA). Production of the correct constructs was verified by dye terminator-cycle sequencing (performed by Macrogen USA, Rockville, MD). Large-scale plasmid DNAs were prepared using a QIAfilter Plasmid Maxi kit (QIAGEN, Valencia, CA).

Current Measurements

Whole-cell patch-clamp recording was done on single cells at room temperature using an Axopatch 200B amplifier (Axon Instruments Inc., Union City, CA) as described previously (Yan et al., 2005). Patch electrodes, fabricated from borosilicate glass (type 1B150F-3; World Precision Instruments, Inc., Sarasota, FL) using a Flaming Brown horizontal puller (P-97; Sutter Instruments, Novato, CA), were heat-polished to a final tip resistance of 3.5 to 5.0 MOhm. All current records were captured, and stored using the pClamp 8.0 software packages in conjunction with the Digidata 1322A A/D converter (Axon Instruments). Experiments were done on single cells with an average capacitance of 10 pF. For current recording, membrane potential was held at −60 mV. Current voltage relations were used to estimate changes in reversal potential during agonist application and were obtained by voltage ramps from −80 mV to +80 mV twice per second during 40 s. Patch electrodes were filled with solution containing 145 mM NaCl, 10 mM EGTA, 20 mM K+ (originating from the 0.5 M EGTA/1 M KOH stock solution), and 10 mM HEPES; the pH was adjusted with 10 M NaOH to 7.35. The osmolarity of this solution was 293 mOsM. The regular Krebs-Ringer-like (KR) bath buffer contained 147 mM NaCl, 3 mM KCl, 1 mM MgCl2, 2 mM CaCl2, 10 mM glucose, and 10 mM HEPES; the pH was adjusted to 7.35 with 10 M NaOH. All the buffers with 10 mM HEPES contained additional 2.8 mM Na+, which originated from the 1M HEPES stock solution pH-adjusted with NaOH (Mediatech, Inc., Manassas, VA). The osmolarity of these solutions was 289 to 295 mOsM. ATP, Bz-ATP and AZ10606129 (Tocris, Ellisvelle, Missouri) solution was prepared daily in bath buffer with pH properly readjusted, applied using either an Ultrafast Solution-Switching System (LSS-3200; EXFO Burleigh Products Group Inc., Victor, NY) that was simultaneously program-controlled by pClamp 8.0 software through PZ-150M Amplifier (Yan et al., 2006) or an RSC-200 Rapid Solution Changer (Biologic, France) (Yan et al., 2008). Cells with EGFP fluorescence were identified before immersing the electrode in bath solution for gigaohm seal.

Calculations

Non-linear curve fitting of currents was done with Clampfit 10.0 (Axon Instruments Inc., Union City, CA) predefined functions of exponential standard (f(t) = A1exp(−t/τ1) + A2exp(−t/τ2) + C) for deactivation fitting, and exponential power (f(t) = A(1 − exp(− t/τ)) + C) for the rapid first phase and Hill 4 parameter logistic function (f(t) = Imin + (Imax − Imin)/(1 + (τ2/t)h) for the second slow phase activation fitting; τ2 indicates the half time of activation. Whenever appropriate, the data were presented as mean ± SEM values. Significant differences, with P < 0.01, were determined by Mann-Whitney test using GraphPad InStat 3.05.

Calcium Measurements

Transfected GT1 cells plated on 25 mm coverslips were bathed in KR medium containing 2.5 μM of Fura-FF AM (Invitrogen, Carlsbad, CA) for 1 h at room temperature. After washing the coverslips with the dye-free Krebs-Ringer media, they were mounted on the stage of an Axiovert 135 microscope (Carl Zeiss, Oberkochen, Germany) attached to an Attofluor Digital Fluorescence Microscopy System (Atto Instruments, Rockville, MD). Cells were examined under a 40x oil immersion objective during exposure to alternating 340 nm and 380 nm excitation beams, and the intensity of light emission at 520 nm (F340 and F380) was followed in several single cells simultaneously at the rate of one point per second.

Mathematical Model

We use a Markov state model consisting of 8 states (Fig. 6), each of which corresponds to the fraction of P2XRs that are bound to at most three ligand molecules (equations are fit to data with BzATP) and may additionally be sensitized (see bottom row of Fig. 6). We aimed for the simplest model with the minimal number of parameters needed to reproduce the main features of the data, such as monophasic and biphasic kinetics and a persistent sensitized state. For example, motivated by considerations of symmetry (see below), we have constrained the model such that all backward rate constants along the bottom row of the diagram are equal to the rate from C2 to C1 and all the forward rate constants are equal to the rate from C1 to C2, although using different rates might have produced more perfect fits. Corresponding to this scheme is the following system of 8 linear ordinary differential equations:

equation M1
(1)

equation M2
(2)

equation M3
(3)

equation M4
(4)

equation M5
(5)

equation M6
(6)

equation M7
(7)

equation M8
(8)
Fig. 6
Dependence of P2X7R sensitization on the N-terminal structure. A-C, Characterization of the K17A (A), T15K (B), and T15E (C) mutants. The T15K and T15E mutants instantaneously opened with the dilated state, as indicated by the value of the reversal potential ...

The whole-cell current is given by the equation

equation M9
(9)

where g12 and g34 are the total channel conductances, E is the reversal potential, and V is the holding potential (−60 mV in all the simulations). The parameter values are listed in Table 1.

Table 1
Parameter values and distributions used in modeling of P2X7R gating

Results

Concentration dependence of the growth of two current and calcium components

Experiments on currents were done with wild type rat P2X7Rs expressed in HEK293 cells bathed in KR buffer containing 2 mM Ca2+. All experiments were done in cells not previously stimulated with agonists and all recordings were done in one cell per dish during a single agonist application/withdrawal of variable duration. Figure 1 illustrates the patterns of current responses in cells stimulated with ATP (A) and BzATP (B) for 40 s or longer. Monophasic, slowly developing currents of small amplitude were always observed in cells stimulated with 100 μM ATP and 3.2 μM BzATP. Such currents were also consistently observed in response to 320 μM ATP application, and in a fraction of cells stimulated with 10 μM BzATP, but the rise in currents was faster and amplitudes were higher than currents generated by 100 μM ATP and 3.2 μM BzATP. At higher agonist concentrations (1 to 10 mM ATP and 32 to 320 μM BzATP), we always observed biphasic currents in naïve cells; the initial rise in current (I1) was accompanied by secondary current growth (I2), and the rate of I2 growth increased with elevation in agonist concentrations (Figs. 1A and B).

Fig. 1
Monophasic and biphasic activation of naïve rat P2X7R expressed in HEK293 cells. A and B, Concentration-dependent effects of ATP (A) and BzATP (B) on receptor activation. In this and the following figures, current recordings were done in cells ...

The dose-dependence of BzATP and ATP effects on the total (I1+I2) current in naïve cells reached at 40-s stimulation indicated about a 55-fold difference in the potency of the two agonists (Fig. 1C), which is in accordance with the literature (North, 2002). Consistent with the lower affinity of P2X7Rs to ATP, the washout of this agonist was accompanied by a rapid decline of current (deactivation), whereas the decline of the current after washout of the more potent BzATP was slower. Figures 1A and B also show that the ratio between I1 and I2 amplitudes changed with increase in agonist concentrations, as did the time needed to reach steady state. The mean ± SEM values of I1 and I2 amplitudes, the latter measured after 40-s BzATP application, also show that the I1 current amplitude increased progressively with elevation in agonist concentration, whereas the I2 amplitude first increased and then decreased with increase in agonist concentration (Fig. 1D).

Previous experiments with Fura-2 failed to show high intracellular calcium concentration ([Ca2+]i) in cells with activated P2X7Rs (Koshimizu et al., 2000), prompting us to use the less sensitive Fura-FF dye. GT1 cells were used as an expression system, because HEK293 cells endogenously express Ca2+-mobilizing P2Y receptors (He et al., 2003). In GT1 cells, BzATP induced concentration-dependent increase in [Ca2+]i (Fig. 1E). At lower agonist concentrations, a slow and monophasic rise in [Ca2+]i was observed, reaching the plateau response after 2–4 min of application. At intermediate concentrations, BzATP induced biphasic [Ca2+]i responses, labeled as Ca1 and Ca2, with the rates determined by agonist concentration. As described previously, sustained BzATP causes leak of Fura-FF (Yan et al., 2008), which limits interpretation of the peak amplitude of [Ca2+]i in response to 20–100 μM BzATP (indicated by dashed line).

In Fig. 2, we analyze in detail the kinetics of current growth and decay during the initial agonist application and washout. In all concentrations, the I1 rise was best fitted with a monoexponential function. Representative traces for such fitting are illustrated in Fig. 2A, with the calculated time constants (τ1) shown above the traces. Notice that the rate of I1 growth increased with elevation in BzATP concentration. On the other hand, the four-parameter logistic function, commonly used for the description of concentration responses, was the best fit for the I2 growth in all concentrations. Representative traces of such fitting for the I2 are shown in Fig. 2B, with the vertical dotted lines indicating the half time of activation (τ2). We used the mean ± SEM values of constants τ1 and τ2 to show dependence of the activation time courses of the P2X7R on BzATP concentrations (Fig. 2D). This analysis showed that the time for activation of both currents decreased with increase in BzATP concentrations, with a 5-fold difference in the EC50 values.

Fig. 2
Activation kinetics of P2X7R. A, Single exponential fitting of the I1 activation phase. Notice a progressive decrease in the time constant (τ1) derived from monoexponential fittings with elevation in BzATP concentration. B, The four parameters ...

The best approximation for decay of current after the washout of agonist was achieved using monoexponential or biexponential fittings, depending on agonist concentration (Fig. 2C). The decay constants were denoted τf (fast) and τs (slow) for biphasic responses and τs for monoexponential decays. In general, when the activation kinetics was best described by monoexponential rise, the deactivation kinetics could also be approximated well by a monoexponential decay, and the decay of currents was always biexponential when the secondary current growth was present. For biphasic currents triggered by 100 μM BzATP, τs was 14.3±1.4 s and τf was 2.9±0.6 s (n=18) and for 3.2 mM ATP τs was 2.4±0.3 s and τf was 0.5±0.1 s (n=16). Exponential fitting of deactivation curves also permitted estimates of If and Is amplitudes at different agonist concentrations; the mean ± SEM values are shown in Fig. 2E and the ratio between EC50s for two currents was about 1:5.

Effects of NMDG and Az10606120 on agonist-induced current response

Substitution of bath Na+ with NMDG permits both current recordings in cells held at a fixed potential and detection of changes in reversal potential estimated by repetitive voltage ramp pulses from −80 mV to +80 mV and was used to support the hypothesis of P2X7R pore dilation (Yan et al., 2008). An example of such experiments is shown in Figs. 3A-C. Naïve cells bathed in NMDG-containing medium and held at −60 mV responded to 100 μM BzATP application with generation of biphasic currents during the initial 40-s application, and the washout of agonist was accompanied by slow deactivation of receptors (A). Current-voltage curves constructed from voltage ramp pulses delivered twice per second showed a positive shift in reversal potential from about −36 mV to −22 mV (B). The rate of shift in reversal potential was highly comparable to the rate of I2 current growth (C), suggesting that during initial agonist application, the I2 growth reflects pore dilation rather than integration of another ionic conductance.

Fig. 3
Effects of substitution of bath sodium with NMDG and addition of a P2X7R-specific antagonist on the pattern of agonist-induced current responses. A-C, Permeability of the P2X7R pore to NMDG during the sustained agonist application. Pattern of 100 μM ...

In order to determine whether the slow I2 current component was due to a single pore or involved the opening of a second pore, we studied the effects of Az10606120, a P2X7R-specific antagonist (Michel et al., 2007), on the initiation and duration of I1 and I2. When 1 μM Az10606120 was applied for 20 s prior to addition of 100 μM BzATP, no current response was observed (Fig. 3E, fourth application and Fig. 3G, second application). However, when 100 nM Az10606120 and 100 μM BzATP were applied together, a rapid rise in I1 was observed, followed by a decline in current amplitude during sustained application (Fig. 3D). A rapid rise in current was also observed during initial application of 1 μM Az10606120 and 100 μM BzATP, but of much smaller amplitude (Figs. 3E and G, first applications). In all three cases, the subsequent application of 100 μM BzATP alone for 40 s resulted in the generation of typical biphasic current responses (Figs. 3, D, E and G). In cells responding to 100 μM BzATP with biphasic currents, 1 μM Az10606120 rapidly abolished I2, but only partially inhibited I1 (Fig. 3G, third application). However, when applied at a 10 μM concentration Az10606120 abolished both I1 and I2 currents in the presence of 100 μM BzATP (Fig. 3F), with a rate highly comparable to that observed after washout of agonist (Fig. 3E, second application). Thus, Az10606120 can prevent development of I2 or both currents, depending on the mode of application, but does not alter the development of biphasic currents during subsequent agonist applications. Furthermore, Az10606120 can abolish both currents completely.

Sensitization of receptors

Figures 3E and G also show that the peak amplitude of currents generated by subsequent application of a mixture of 1 μM Az10606120 and 100 μM BzATP was much higher than during initial application, raising the possibility that P2X7R shows run-up of current, in contrast to other P2XRs, which show run-down of current during repetitive agonist application caused by incomplete recovery from desensitization (North, 2002). To exclude the possibility that run-up of current reflects an artifact caused by incomplete washout of Az10606120, in further experiments we repeatedly stimulated receptors with BzATP only.

In a fraction of cells that responded to initial application of 10 μM BzATP with biphasic currents, repetitive 40-s applications of 10 μM BzATP, with washout periods between agonist applications of 5 min, caused a progressive increase in the peak amplitude of I1 and I2 (Fig. 4A). During repetitive application of 32 μM BzATP for 40 s with 5 min washing periods, the amplitude of I1 and I2 also proportionally increased during the second application, but during the third application the biphasic response was replaced by a monophasic response, with peak current amplitude comparable to that reached at the end of the second agonist application (Fig. 4B). In a case of repetitive application of 100 μM of BzATP with 5 min washing periods, transition from biphasic to monophasic signaling was achieved after first agonist application (Fig. 4C). In all experiments, increase in the I1 amplitude during repetitive agonist application was accompanied by slower receptor deactivation. However, when the steady state current was reached during repetitive application, there was no further change in the kinetics of receptor deactivation (Fig. 4A-C). A dependence of the rate of receptor deactivation on duration of agonist application was also detected; receptors deactivated faster after 1 s than 40 s agonist application (Fig. 4D). A train of brief pulses of BzATP was sufficient to cause progressive slowing of deactivation (Fig. 4E).

Fig. 4
Receptors sensitize during repetitive agonist application. A-C, Time-dependent increase in the peak amplitude of current and a decrease in the rate of receptor deactivation in cells stimulated repeatedly with 10 μM (A) 32 μM (B), and 100 ...

Once established by stimulation with high (100 and 320 μM) BzATP concentrations, monophasic signaling persisted, even when lower agonist concentrations were subsequently applied. Figure 4F shows the lack of the I2 component in cells initially stimulated with 320 μM BzATP, followed by subsequent application of 100, 32, and 10 μM BzATP, each for 40 s. Monophasic responses were also observed when cells were stimulated initially with 320 μM BzATP, followed by 3.2, 10, 32, 100 and 320 μM BzATP application (not shown). The calculated EC50 for cells initially stimulated by 320 μM BzATP was 24 ± 0.4 μM (n = 4), whereas the EC50 for cells initially stimulated with 3.2, followed by 10, 32, 100 and 320 μM BzATP application was 64 ± 3 μM (n = 5), indicating a significant increase in the potency of BzATP for receptors responding with monophasic currents (P<0.001). Combined with slower deactivation of receptors caused by repetitive agonist application, these results indicate that the receptor sensitizes when repeatedly stimulated.

In further experiments, we studied how long receptors stay in the sensitized state. To exclude the impact of prolonged whole-cell recording, cells were stimulated with 100 μM BzATP for 40 s without recording (Fig. 4G, left), agonist was washed out, the whole-cell recording was established 10 to 30 minutes after the washout of agonist, and cells were again stimulated with 100 μM BzATP for 40 s (Fig. 4G, right). When the washout period was 10 min (Fig. 4G, top panel) and 20 min (data not shown), cells responded to BzATP application with high amplitude monophasic currents, comparable to those observed in the experiments shown in Fig. 4F. However, when the washout period was 30 min, cells consistently responded to secondary agonist application with typical biphasic currents (Fig. 4G, bottom panel), suggesting the recovery of receptor gating to the unsensitized state. Taken together, the results of this sub-section show that repeated or high dose stimulation locks receptors into a high-affinity, high-conductance state for a prolonged period.

The lack of effect of Na+ and Ca2+ influx on sensitization of receptors

A transition from biphasic to high amplitude monophasic responses during repetitive application of 100 μM BzATP for 40 s was always (16 of 16 cells) observed in naïve cells bathed in KR buffer (Fig. 5A). To study the relevance of Na+ influx in the pattern of signaling, we replaced 90% (Fig. 5B) or 100% (Fig. 5C) of bath Na+ with NMDG. In both experimental conditions, cells responded with typical biphasic currents during the initial agonist application, but the current amplitude decreased with decrease in bath Na+ concentration. During the secondary agonist application, all cells responded with monophasic currents, indicating that bath Na+ is not essential for the generation of biphasic currents and transition from biphasic to monophasic signaling.

Fig. 5
Sensitization of receptors is independent of bath sodium and calcium. A-C, Cells were bathed in KR buffer containing Na+, K+, Mg2+ and Ca2+ (A), and in KR buffer in which 90% (B) or 100% (C) of Na+ was replaced by NMDG, with a pipette solution containing ...

The possible role of Ca2+ influx in generation of biphasic response was examined using several experimental approaches. In one series of experiments, cells were bathed in Ca2+-deficient KR buffer and the patch pipette was filled with Ca2+-deficient medium supplemented with Ca2+ chelating agents, 10 mM EGTA (Fig. 5D) or 5 mM BAPTA (Fig. 5E). This should effectively buffer fluctuations in the intracellular Ca2+ concentration coming from the influx of residual Ca2+ present in the bath medium. Under such experimental conditions, generation of biphasic currents during initial agonist application and a shift from biphasic to high amplitude monophasic responses were also observed. To exclude the possible side effect of reduction in divalent cation concentrations in the bath medium, in a second set of experiments, Ca2+ was substituted with Mg2+. In cells clamped at −60 mV, a transition from biphasic to monophasic currents was also observed (Fig. 5F). Finally, to decrease the electrochemical gradient for Ca2+, cells bathed in Ca2+-deficient medium with 10 mM EGTA in the pipette medium were held at +60 mV during repetitive agonist application. Still, the transition from biphasic to high amplitude monophasic response occurred during repetitive application of 10 μM BzATP (Fig. 5G). Receptor deactivation was also slowed during secondary application of BzATP in cells bathed in Ca2+-deficient bath medium with pipette medium containing no added Ca2+ and having 10 mM EGTA (Fig. 5H, left vs. right). Thus, bath Ca2+ is also not required for the transition from biphasic to monophasic signaling.

Dependence of receptor gating on the N-terminal structure

We reported recently that several N-terminal mutants have altered pore dilation (Yan et al., 2008). Figures 6A-C, left panels, show the I-V relationship of cells under the ramp voltage protocol during the initial agonist application in three such mutants. Like the wild type receptor, the K17A mutant responded with a gradual shift in the reversal potential when cells were bathed in NMDG-containing KR buffer. In contrast, the T15K and T15E mutants showed immediate permeability to NMDG during the initial agonist application and no additional changes in the reversal potential during 40-s agonist application. Here, we used these mutants to study the dependence of receptor deactivation on the status of the channel pore. Deactivation kinetics was examined in cells exposed to BzATP for 1 s (Figs. 6A-C, middle left traces) and 2 × 40 s with 10 min washout period (Figs. 6A-C, middle right and right traces). The K17A mutant deactivated relatively rapidly after 1-s stimulation and the participation of the τs deactivation time constant was minor, whereas the T15K and T15E mutants deactivated slowly. Like the wild type receptor, the K17A mutant also showed a transition from biphasic to monophasic currents during repetitive application of BzATP, accompanied with slower receptor deactivation. In contrast, T15K and T15E mutants responded to a second agonist application with a pattern of current and rates of deactivation highly comparable to those observed during the initial agonist application. The T15E mutants showed higher sensitivity to BzATP compared to the wild type receptor; the estimated EC50 values for BzATP were: 64 ± 3 μM (n= 5) for the wild type receptor and 2 ± 0.1 μM (n = 4) for the T15E mutant. Figure 6D shows that the mutant always responded with monophasic currents to initial application of BzATP in 1 – 100 μM concentration range, with rates of activation increasing with agonist concentrations. Thus, whether the sensitized state is induced by pre-exposure to ATP in wild-type cells or is permanently present in mutants, large-amplitude monophasic currents are always coupled to slow deactivation.

Simulations with the P2X7R Markov state gating model

The responses of P2X7R to single applications of BzATP to naïve cells at increasing concentrations illustrated in Fig. 1 can be reproduced using the Markov state model consisting of 8 States described by the scheme in Fig. 7 and Eqs. (19). Each state in this scheme represents the fraction of receptors that are bound to at most three agonist (BzATP) molecules.

Fig. 7
Markov state cell model describing the sequence of binding/unbinding and sensitization/loss-of-sensitization events of P2X7Rs in a cell. The states Ci (closed channel pore) and Qi (open channel pore), i=1, 2, 3, 4, represent the fraction of receptors ...

The structure of the scheme shown in Fig. 7 can be interpreted as follows. Receptors in the C1 and C4 states have no BzATP bound, receptors in states C2 and C3 have one BzATP bound, receptors in Q1 and Q4 states have two BzATP bound and receptors in states Q2 and Q3 have three BzATP bound. The states Ci (i=1, 2, 3, 4) correspond to receptors possessing closed channel pores, whereas those in states Qi (i=1, 2, 3, 4) have open pores. The states in the top row (C1, C2, Q1 and Q2) represent unsensitized receptors, which are interpreted as having undilated channel pores with relatively small conductance and relatively negative reversal potential, given a set of mixed ionic concentrations in the medium. Naïve channels (channels not previously exposed to agonist) are assumed to be unsensitized. The states in the bottom row (C3, C4, Q3 and Q4) represent receptors that are sensitized, having dilated pores with larger conductance and less negative reversal potentials when tested in NMDG-containing medium; in the simulations shown, the reversal potentials are the same for all states because the medium contained almost exclusively Na+.

Here we assume that ligand binding entails negative cooperativity. Naïve and unsensitized receptors (state C1) are assumed to be symmetric, with the three binding sites having equal and high affinity for binding BzATP (i.e., 3k2/k1 is relatively large), but the occupation of one binding site by BzATP leads to the loss of symmetry and an assumed reduction in the affinity of the two remaining binding sites due to a conformational change (i.e., k4/k3<3k2/k1). When a second site is occupied the affinity of the remaining binding site is further reduced (k6/(3k5)<k4/k3). When all binding sites are occupied, however, symmetry is assumed to be restored, and the binding rates revert to those of a naked receptor. A slow conformational change is assumed for the fully-occupied receptor, leading to a slow dilation of the pore (transition rate L3 from Q2 to Q3). (A possible interpretation is that restored symmetry with all sites bound relieves a mechanical stress, which permits other processes that mediate dilation to take effect. Note, however, that the performance of the model depends only on the numerical values assigned to the parameters, not on the interpretations that motivated the assignments.) The restoration of symmetry is also assumed to return the binding and unbinding rates to those of an unbound channel (k2 and k1) and to persist as ligand unbinds and rebinds within the sensitized regime; this last assumption allows the model to reproduce the fast, high affinity openings to a dilated state that are observed once sensitization is established. Deactivation of sensitized receptors is also much slower than that of unsensitized receptors because 2k1 [double less-than sign] 2k3, 3k5. The smallness of the rate of the back transition from sensitized to unsensitized states (rate L2 from Q3 to Q2) causes the receptor to act as a ratchet, accumulating memory of ATP exposure in the form of persistent sensitization. The slowest rate is the loss of sensitization (return from C4 to C1) during washout (L2 [double less-than sign] L1, L3).

Using this scheme, we successfully generate the expected monophasic response to 3.2 and 10 μM BzATP and the biphasic response to 32, 100 and 320 μM BzATP, as shown in Fig. 8. In the spirit of parsimony we have, with one exception, used the same parameter values (listed in Table 1) for all simulations rather than search for the best fit to each trace. The exception is that we have set L3 to 0.1 s−1 for the case of 10 μM BzATP; if the value of L3 is kept at 0.5 s−1, the response is biphasic. In fact, biphasic responses are sometimes seen at 10 μM (data not shown), so this may reflect heterogeneity among cells. The deactivation component of the current exhibited, in most cases, the biphasic response observed experimentally, but the slow monophasic response was less obvious due to the relatively large value of k1. Decreasing the value of k1 would generate slow, monophasic deactivation for single agonist presentations, but other features of the model (including the slowing down of the deactivation component during repetitive stimulation shown below) would be lost. The use here of one parameter set to describe all features limits the ability of the model to capture all the behaviors of the heterogeneous population of cells used to generate the experimental current recordings.

Fig. 8
Current responses to increasing doses of agonist concentration according to the Markov state cell model, Eqs. (19). A, Current simulations obtained from the cell model upon 3.2, 10, 32, 100 and 320 μM/2 min BzATP stimulation. B, main ...

The model also successfully displayed the initial dominance of the slow current I2 over the fast current I1 in moderate 40-s BzATP stimulation (Fig. 8B) seen in the experiments (Fig. 1). Here, guided by the indication above that cells are heterogeneous, we constructed a population of 10 model cells by randomly selecting model parameters (except for L3) using the normal distribution with standard deviations listed in Table 1 and using the uniform distribution to select random values for L3 from a numerically estimated range specified in Table 1. When higher concentrations of BzATP were applied, I1 dominated I2. In agreement with the experiments shown in Fig. 1, the simulated I1 current showed a monodirectional dependence on the concentration of BzATP, as opposed to the bidirectional dependence of I2 in the same range of BzATP concentration. The total increase in current (I1 + I2) as a function of BzATP concentration, averaged over the 10 cells, showed a very similar dose-response curve to that obtained in Fig. 1C with comparable EC50 (45 μM; Fig. 8B, inset).

Examination of the occupancy of the individual channel states, however, allows us to interpret the meaning of I1 and I2 more precisely in the model. Figure 8C shows the states in response to 32 μM BzATP. The fast I1 component corresponds to channels moving from state C1 through C2 to Q1 or Q2, whereas the slow I2 component corresponds to channels moving from Q2 to Q3. When the agonist is removed, the channels that were in Q3 or Q4 go to C4 rather than C1, and this accounts for the slow component of deactivation, as the rate of deactivation via k1 is much slower than deactivation via k3 or k5. Figure 8D shows the states in response to 320 μM. At this higher agonist concentration, channels move relatively quickly from C1 to Q3, passing through Q1 and Q2 only transiently, the current appears monophasic, and only the I1 component is evident in Fig. 8A. The model thus suggests that if current components are interpreted in terms of channel occupancy rather than rate of rise, the I1 component at high agonist concentration corresponds to the sensitized states, whereas the I1 component at lower concentrations is generated by the unsensitized states.

The model can also account for the responses to repetitive agonist application that were illustrated in Fig. 3. Simulating these experiments imposes more constraints on the model than simulating the single presentations alone. As shown in Fig. 9A, repeated stimulation of the model cell with 10 μM BzATP for 40 s steadily increased current amplitude and slowed down the deactivation of the current. Examining the states (not shown) indicates that this is due to the accumulation of a small fraction of receptors in the lower row of Fig. 7, which then go to C4 instead of C1 during washout. When the agonist is reapplied, there are rapid, high affinity openings directly to Q4 and Q3 without passing through Q1 and Q2 in addition to the openings from C1 that made up the sole contribution in the first pulse. This behavior was modified when the concentration of BzATP was increased to 32 μM and 100 μM in panels B and C, respectively. In these two cases, the current amplitude increased at each agonist application but the slow I2 component of the current decreased due to sensitization (i.e. receptor accumulation in the lower row of Fig. 7). Thus, the current reached its maximum amplitude after a few pulses and the fast current I1 progressively dominated I2. The higher agonist concentrations in panels B and C than in panel A yield a much larger proportion of channels along the bottom row of sensitized states, progressively reducing the number available to open along the top row. As the channels opening from C4 go directly to a dilated state, they do not contribute to the slow I2 component, which therefore declines over time as openings along the bottom row become dominant. In all three panels (A – C), current deactivation during washout became slower in parallel to the increase of the I1 component as the sensitized pool grew at the expense of the unsensitized pool.

Fig. 9
Simulated current responses to repeated application of BzATP using the Markov state cell model and Eqn. (9). A-C, Simulations of periodic stimulation with 10 μM/40 s BzATP (A), 32 μM/40 s BzATP (B) and 100 μM/40 s BzATP (C). D, ...

The model also captures the experimental observations shown in Figs. 4D and E. In 100 μM BzATP, a long 40 s pulse produced slower deactivation than a short 1 s pulse (Fig. 4D). A train of short pulses separated by 10-s washout periods resulted in a dramatic slowing of deactivation with only a modest increase in amplitude (Fig. 4E); very similar results were obtained with washout periods up to 20 minutes, owing to the very slow rate of return from C4 to C1. In both panels D and E, the slowing of deactivation is caused by an accumulation of channels in the sensitized state, which mostly close by going to state C4. The observation recorded in Fig. 4F showing monophasic currents even at low concentrations of BzATP for 40 s once exposed to 320 μM was also exhibited by the model cell (Fig. 9F). The initial pulse brought most of the receptors to the states Q3 and Q4 so that they closed to state C4 when the agonist was removed. The biphasic current response typical of these cells when applying lower doses of BzATP was then lost because the openings proceeded from states C4 and C3 directly to Q3 and Q4. Only a long washout of 30 minutes or longer (not shown) allows enough time for the receptors to transition back to C1 and restore biphasic currents.

All of the responses of the receptors to the P2X7R specific antagonist Az10606120 shown in Fig. 3 were also reproduced by the model under the assumptions that Az10606120 reduces all the forward rate constants (k2, k4, and k6) with a time constant of 15 s and also that the onset of antagonism was delayed by 1 s (Supplemental Fig. S1). The latter assumption enabled the model to reproduce the initial spikes of current seen when Az10606120 was applied simultaneously with BzATP (Fig. 3E, first and third applications). In contrast, if the antagonist was assumed to apply only to unsensitized receptors, then a high amplitude sustained carried by sensitized receptors current was predicted, independently of the time of antagonist application (Fig. S2, third, fourth, and fifth application), in contrast to experimental observations (Fig. 3E and G).

In summary, all the experimental results in Figs. 1, ,33 and and44 are shown by the model to be explainable as consequences of shifting receptors, to a greater or lesser degree, from the unsensitized state to the sensitized state, with its fast, high affinity openings and slow deactivations.

Discussion

We have shown here that gating properties of P2X7R depend on agonist concentration and duration of its application and washout periods. Current measurements indicated that naïve P2X7R activated and deactivated monophasically at low and biphasically at higher agonist concentrations. We also observed monophasic and biphasic responses in single cell calcium measurements using the low affinity indicator Fura-FF. However, that method is of limited use in studies on gating of P2X7R because of dye leak during sustained agonist application (Yan et al., 2008).

Biphasic current and calcium responses are consistent with the two-pore hypotheses, with the P2X7R pore accounting for I1 and activation of the additional pore secondary to receptor activation accounting for I2. It also has been suggested that calcium acts as a second messenger for opening the pore associated with P2X7R (Faria et al., 2005). Association of P2X7R with pannexin-1 hemichannels has also been shown and appears to be critical for P2X7R-induced dye uptake and interleukin-1β release (Pelegrin and Surprenant, 2009). Others have proposed the existence of two distinct ATP activation sites (Klapperstuck et al., 2001) and suggested that the C-terminal deletion-induced loss of a low affinity binding site accounts for the loss of most of the I1 current and complete loss of the I2 current and that the residual I1 current, whose amplitude resembles monophasic currents detected at low agonist concentration, reflects activation of high affinity binding sites (Becker et al., 2008).

In contrast, here we show that generation of biphasic currents was independent of bath Ca2+ concentration. Generation of biphasic currents is also not blocked by inhibition of pannexin-1 channels, and is also observed in cells not expressing pannexins (Yan et al., 2008), and I2 growth temporally correlates with the development of permeability for NMDG. In addition, if the slow growth of I2 reflects conductivity of other channels/transporters, the contribution of this component of inward current should increase with increase in agonist concentrations. In contrast, we observed bidirectional changes in I2 amplitude with increase in agonist concentrations. Finally, the P2X7R-specific antagonist Az10606120 rapidly abolishes I2, further supporting the view that it is unlikely to be from some conductance other than P2X7R. These experiments do not exclude the possibility of a two-pore model, in which one pore accounts for cation permeability and can dilate and the other pore accounts for dye uptake, but suggest that a relatively rapid activation of the channel pore permeable for small inorganic cations causes I1 growth, accompanied by a progressive pore dilation causing I2 growth.

Experiments with repetitive stimulation with the same agonist concentration further revealed that gating of P2X7R is more complex than the presence of two conductivity states. The peak current amplitude increased and the kinetics of receptor deactivation became slower during repetitive stimulation. Once a steady current was reached, used P2X7Rs behaved like other P2XRs during subsequent stimulation, showing monophasic currents with amplitudes determined by agonist concentrations, provided the washout periods were less than 30 minutes. These findings are in general agreement with a recent publication describing facilitation of rat P2X7R (Roger et al., 2008). We termed this receptor sensitization, based on a finding of changes in the rates of receptor deactivation, because deactivation of other P2XRs does not change with changes in agonist concentration and repetitive stimulation (Yan et al., 2006). Thus, differences in the potency of agonist to activate P2X7R during initial and repetitive stimulation, combined with slower receptor deactivation during repetitive agonist application, suggest that P2X7R exists in two states, unsensitized and sensitized. Because the sensitized state lasts for a prolonged period, repetitive agonist applications with shorter washout period cause most of receptors to go to the sensitized state.

We do not know the mechanism of P2X7R sensitization. A role of a calcium-dependent calmodulin binding motif in the C-terminus of P2X7R in receptor gating has been proposed, causing the leftward shift in sensitivity of P2X7R for agonists (Roger et al., 2008). Our experiments do not argue against this hypothesis, but show that generation of biphasic currents and transition from biphasic to monophasic signaling is independent of bath Ca2+ and Na+ concentration. The substitution of the Thr-15 residue with charged residues resulted in mutants that immediately responded with openings of the pore to a dilated state without prior ligand exposure (Yan et al., 2008). The present data shows further that these mutants always responded to agonist application with amplitude-modulated monophasic current and were more sensitive to BzATP than the wild type receptors, as indicated by decrease in the EC50 value for BzATP and a slow rate of deactivation that did not change further with repetitive agonist application. However, it is unlikely that phosphorylation of this particular residue accounts for the sensitization of receptors, because the K17A mutant behaved similarly as the wild type receptor. What these experiments show is that the sensitized state and the dilated state reflect the same status of the receptor; sensitization describes changes in its binding/gating property and the dilation describes the accompanying changes in pore selectivity.

The crystal structure of the zebra fish P2X4R in closed state is consistent with a hypothesis that the receptor is a symmetrical trimer (Kawate et al., 2009). It has been suggested that the occupancy of all three binding sites is needed for activation of these receptors, based on studies on the initial slope of ATP concentration-response curves (Bean et al., 1990) and Hill plots (Jiang et al., 2003). Two kinetic models for activation of P2XRs have been proposed, which reproduced monophasic currents (Bean et al., 1990; Riedel et al., 2007). Until now no model has been put forward that can explain the complex pattern of P2X7R gating, including the increase in I1 and decrease in I2 amplitude with elevation in agonist concentration, or the transition from biphasic to monophasic signaling during repetitive agonist application. Here we modeled the channel as a symmetric trimer that becomes asymmetric owing to negative cooperativity when one ATP binds, incorporating the essence of the two-activation site model (Klapperstuck et al., 2001).

Figure 7 describes these transitions in detail. When no ATP is bound, the molecule is symmetrical and closed. When one ATP is bound, the molecule is distorted in such a way as to reduce the affinity of the remaining binding sites and remains closed. When a second ATP is bound, the molecule is further distorted, additionally decreasing the affinity of the third site but the channel opens in its low-conductance state. A five-fold difference in the potency of agonist for I1 and I2 growth supports the concept of asymmetry, and small amplitude monophasic currents observed at low agonist concentration in naïve receptors support the presence of a low-conductance state. When the third ATP binds, symmetry is restored, putatively relieving the mechanical stress. We suggest that this both increases the affinity of the binding sites to ATP and causes the pore to dilate to the high conductance state. The restoration of symmetry may facilitate an unknown persistent change of state that is required for dilation.

An interesting feature of this scheme is that it factorizes the complex sequence of steps into two semi-independent processes: horizontal motion in the scheme corresponds to ATP binding and channel opening or closing, whereas vertical motion corresponds to sensitization and dilation. We assume that dilation and sensitization are two faces of the same coin and both follow the binding of the third ATP. The vertical steps must be slow in order to explain both the slow component of the rise of the current (i.e. I2 current) and the memory of past exposure to high ATP, which requires tens of minutes to wash out. Whatever the biochemical nature of the sensitization/dilation step, its slowness compared to ATP binding means that the states can be written as a product of two factors, analogous to the m and h processes in the Hodgkin-Huxley Na+ channel in the same way as previously described for the Keizer-DeYoung model (Li and Rinzel, 1994).

Other assignments of opening and conductance states to the various ATP-binding configurations are possible, and we have not shown ours are optimal. The model, however, is simple and does a good job of capturing most of the data from a wide range of experiments. It also provides a substrate for the opposite effects of P2X7R on cellular functions, such as cell growth and differentiation (occupancy of two ATP binding sites) vs. cell death (occupancy of 3 ATP binding sites accompanied by pore dilation). The model itself does not confirm our main hypothesis that the kinetics of P2X7R reflects the dilation of a single channel to a persistent sensitized state. Indeed, the scheme of Fig. 7 could be interpreted as the states of a two-channel complex, with the bottom row corresponding to the second pore. However, Fig. 3D-G then requires the second pore to close rapidly when P2X7R is blocked, which seems implausible. Finally, the model can explain the complex effects of Az10606120 assuming a single type of binding site to which the compound and ATP can bind, with Az10606120 prior to ATP preventing ATP binding.

Supplementary Material

Supp1

Acknowledgments

The authors were supported by the Intramural Research Program of the National Institutes of Health, N. I. C. H. D. (Z. Y., S. L. and S. S. S.), and N. I. D. D. K. (A. K. and A. S.). Z. Y. carried out the bulk of the experiments and A. K. did the modeling.

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