Abstract
Extracellular ATP in the cortical collecting duct can inhibit epithelial sodium channels (ENaC) but also stimulate calcium-activated chloride channels (CACC). The relationship between ATP-mediated regulation of ENaC and CACC activity in cortical collecting duct cells has not been clearly defined. We used the mpkCCDc14 cortical collecting duct cell line to determine effects of ATP on sodium (Na+) and chloride (Cl−) transport with an Ussing chamber system. ATP, at a concentration of 10−6 M or less, did not inhibit ENaC-mediated short-circuit current (Isc) but instead stimulated a transient increase in Isc. The macroscopic current-voltage relationship for ATP-inducible current demonstrated that the direction of this ATP response changes from positive to negative when transepithelial voltage (Vte) is clamped to less than −10 mV. We hypothesized that this negative Vte might be found under conditions of aldosterone stimulation. We next stimulated mpkCCDc14 cells with aldosterone (10−6 M) and then clamped the Vte to −50 mV, the Vte of aldosterone-stimulated cells under open-circuit conditions. ATP (10−6 M) induced a transient increase in negative clamp current, which could be inhibited by flufenamic acid (CACC inhibitor) and BAPTA-AM (calcium chelator), suggesting that ATP stimulates Cl− absorption through CACC. Together, our findings suggest that the status of ENaC activity, by controlling Vte, may dictate the direction of ATP-stimulated Cl− transport. This interplay between aldosterone and purinergic signaling pathways may be relevant for regulating NaCl transport in cortical collecting duct cells under different states of extracellular fluid volume.
Keywords: P2Y receptor, CACC, ENaC
the cortical collecting duct of the kidney plays a critical role in maintaining sodium chloride (NaCl) balance by responding to hormonal cues for fine-tuning of urinary NaCl excretion. For example, under conditions of extracellular fluid (ECF) volume depletion, aldosterone and arginine vasopressin (AVP) activate the epithelial Na+ channel (ENaC), the principal ion channel responsible for Na+ absorption in the collecting duct (4, 11, 25). Conversely, under conditions of high-dietary NaCl intake, extracellular nucleotides such as adenosine triphosphate (ATP) inhibit ENaC (16, 17, 34), limiting development of ECF volume expansion and hypertension (17, 22). While regulation of ENaC-mediated Na+ transport is widely recognized to be a major determinant of ECF volume and blood pressure, regulation of Cl− transport in the collecting duct may also contribute to the maintenance of NaCl balance (10, 24, 32).
Although recent studies support the in vivo role for extracellular ATP in inhibiting ENaC-mediated Na+ absorption in the cortical collecting duct, ATP also stimulates Cl− secretion in several model systems (8, 9, 20, 35). For example, in M1 cortical collecting duct cells, ATP decreases ENaC-mediated Na+ absorption and also increases Cl− secretion through calcium-activated Cl− channels (CACC) (6). Thus, ATP likely has differential effects on NaCl transport in cortical collecting duct cells under specific physiological contexts. However, the relationship between ATP-mediated regulation of ENaC and CACC in cortical collecting duct cells has not been well-characterized.
To define the conditions that promote ATP-mediated stimulation of Cl− transport in cortical collecting duct cells, we used the mpkCCDc14 cortical collecting duct cell line as a model system and measured direct effects of extracellular ATP on NaCl transport in Ussing chambers. We found that ATP induced a multiphasic short-circuit current (Isc) response, comprised of an initial transient peak followed by a sustained decrease in Isc. The sustained phase of the ATP response reflected an inhibition of ENaC activity, which was only observed when cells were treated with ATP concentrations greater than 10−6 M. In contrast, the transient phase of the ATP response was observed even when cells were treated with ATP concentrations less than 10−6 M.
We hypothesized that this transient phase of the ATP response reflects a stimulation of Cl− transport, possibly mediated through CACC. We generated a macroscopic current-voltage curve for the transient phase of the ATP response and observed that the direction of this response changes from positive to negative when transepithelial voltage (Vte) is clamped to less than −10 mV. We further hypothesized that this negative current signifies ATP-inducible Cl− absorption, which might be found under conditions of aldosterone stimulation. To test this, we treated mpkCCDc14 cells with aldosterone and clamped the Vte to −50 mV, which was the Vte across aldosterone-stimulated cells under open-circuit conditions. We then characterized the putative CACC transport pathways responsible for ATP-stimulated Cl− absorption under these conditions.
METHODS
Cell culture.
Immortalized mouse kidney cortical collecting duct (mpkCCDc14) cells, kindly provided by Dr. Alain Vandewalle, were maintained as previously described (3, 30). mpkCCDc14 cells were subcultured onto collagen-coated Snapwell-permeable supports (0.4-μm-pore size, Costar, Cambridge, MA) and grown in defined medium until transepithelial resistance (Rte) reached values greater than 4,000 Ω·cm2, as measured with an EVOM “chopstick” voltmeter (World Precision Instruments, Sarasota, FL). Cells were then switched to supplement and serum-free media for 48 to 72 h. Cells were treated with aldosterone (10−6 M) for a period of 4 h before being mounted on the Ussing chamber.
Ussing chamber measurements.
Cell monolayers were mounted between the Lucite half chambers of the Ussing chamber (Physiological Instruments, San Diego, CA) for electrophysiological studies, as described previously (19, 21). Cell monolayers were bathed in Krebs-Henseleit solution (in mM: 140 NaCl, 25 NaHCO3, 5 KCl, 5 glucose, 2 CaCl2, and 1 MgCl2) and gassed with a mixture of 95% O2-5% CO2. Vte across cell monolayers was clamped to 0 mV, and a set voltage pulse of 1 mV was applied across cell sheets for 200 ms every 20 s. Isc and Rte across cell monolayers were continuously recorded using Acquire and Analyze Software (Physiological Instruments).
To examine effects of extracellular nucleotides on Isc, ATP (10−5 M) was added to the apical side of cell monolayers. In some experiments, amiloride (10−5 M) was added to cell monolayers before apical addition of ATP to isolate independent effects of ATP on cation (ENaC-mediated) and anion transport. In other experiments, a dose response for ATP-stimulated Isc was performed by treating cell monolayers with a range of ATP concentrations (10−8 to 10−4 M).
To generate a macroscopic current-voltage curve, ATP-inducible clamp current (IclampATP) was measured at various voltages (−50, −25, −10, 0, or +25 mV) across cell monolayers. To establish Cl− as an anion involved in ATP-stimulated anion transport, Cl− was substituted with gluconate or sulfate in Krebs-Henseleit solution, while bicarbonate was substituted with HEPES to buffer the solution. The concentrations of all other ions were kept constant. Cell monolayers were then voltage clamped to −50 mV and stimulated with ATP (10−6 M). To rule out basolateral potassium (K+) transport as an underlying mechanism for IclampATP, BaCl2 (10−3 M) was added to the basal side of cell monolayers before apical addition of ATP in some experiments.
Pharmacological agents.
A series of pharmacological agents was used to verify the involvement of P2Y receptor signaling pathways in ATP-stimulated anion transport. Some cell monolayers were exposed to the P2Y receptor blocker suramin (5 × 10−4 M) before ATP stimulation. Other cell monolayers were pretreated with the calcium (Ca2+) chelator BAPTA-AM (5 × 10−5 M). To identify the classes of ion channels or transporters responding to P2Y receptor activation, CFTR inhibitor-172 (10−5 M, Sigma) was used to block cystic fibrosis transmembrane conductance regulator (CFTR), and flufenamic acid (FFA; 2 × 10−4 M, Sigma) was used to block CACC.
Reverse-transcriptase PCR.
mpkCCDc14 cells were grown to resistance on permeable supports, and total RNA was harvested using an RNeasy Mini Kit (Qiagen, Valencia, CA) according to the manufacturer's instructions. Mouse brain and kidney total RNA were obtained from Zyagen (San Diego, CA) to serve as positive controls. Reverse-transcriptase (RT) reactions were performed according to the manufacturer's instructions (New England BioLabs, Ipswich, MA). Thermal cycling parameters were the following: incubation at 98°C for 30 s followed by 35 cycles at 98°C for 10 s, 52°C for 10 s, 72°C for 50 s, and then a final extension at 72°C for 5 min.
PCR primers were designed and used for detecting gene amplification of TMEM16A and bestrophin-1 (7, 14). PCR primers were also used for detecting expression of actin as a loading control. Specificity of each set of primers was confirmed by BLAST search against GenBank and by direct sequencing of PCR products. The primer sequences were as follows: mouse TMEM16A forward: 5′-GGTGTCGGGTTTGTGAAGAT-3′, mouse TMEM16A reverse: 5′-TGCACGTTGTTCTCTTCAGG-3′; mouse bestrophin-1 forward: 5′-AGGACGATGATGATTTTGAGACTAA-3′, mouse bestrophin-1 reverse: 5′-CTTTCTGGTTTTTCTGGTTGGCATC-3′.
PCR products were resolved using a 1% agarose gel-dissolved Tris-Acetate EDTA buffer and visualized with ethidium bromide.
ATP determination assay.
Medium from the apical side of mpkCCDc14 cell monolayers was replaced with 150 μl of phosphate-buffered saline. One hour after medium replacement, AVP (10−9 M, Tocris Biosciences) or vehicle was added to cell monolayers. Ten minutes later, PBS from the apical side of the cell monolayers was gently removed. ATP concentration in the PBS solution from AVP- and vehicle-treated cell monolayers was measured with an ATP Determination Kit (Invitrogen) and a luminometer (Glomax 20/20, Promega, Madison, WI).
Statistics.
Statistical analyses for comparisons between different treatment groups of mpkCCDc14 cells were performed using paired or unpaired two-tailed Student's t-tests. Differences were considered to be significant at P < 0.05.
RESULTS
ATP induces anion secretion in mpkCCDc14 cells.
We first tested the effect of apical application of ATP (10−5 M) on Isc across mpkCCDc14 cell monolayers. We found that ATP induced a multiphasic response comprised of an initial transient peak, a second lower peak, and then a sustained decrease in Isc (Fig. 1A). The sustained decrease in Isc fell below the baseline level of Isc, suggesting that ATP inhibits ENaC-mediated Na+ transport. To confirm this, we evaluated the ATP response in the presence of amiloride, a specific ENaC inhibitor. Amiloride (10−5 M) altered the ATP response by eliminating the sustained decrease in Isc, indicating that this component of the Isc response is due to ATP-mediated inhibition of ENaC-mediated Na+ absorption (Fig. 1B). In contrast, the initial transient peak in Isc of the ATP response was resistant to amiloride inhibition, suggesting that this component of the Isc response might be due to ATP-stimulated anion secretion.
We next performed a dose response for the initial transient peak and the sustained decrease in Isc of the ATP response. We added ATP (10−8 to 10−4 M) to the apical surface of aldosterone-stimulated mpkCCDc14 cells and observed that, at concentrations between 10−5 and 10−4 M, ATP induced a multiphasic response (dashed line, Fig. 2A); however, at concentrations between 10−7 and 10−6 M, ATP stimulated an isolated transient peak in Isc without a subsequent decrease in sustained Isc (solid line, Fig. 2A). In a series of experiments, we quantified the transient and sustained Isc responses in aldosterone-stimulated mpkCCDc14 cells treated with ATP at concentrations ranging from 10−8 and 10−4 M and generated a dose-response profile for each phase of the ATP response. We found that the transient and sustained Isc response profiles were distinct: the transient increase in Isc was observed with ATP greater or equal to 10−7 M (Fig. 2B), whereas the sustained decrease in Isc was observed with ATP concentrations greater or equal to 10−5 M (Fig. 2C).
ATP also induces anion absorption in mpkCCDc14 cells.
We hypothesized that the transient phase of the ATP response reflects a stimulation of anion transport, and specifically, Cl− transport. Using a similar cortical collecting duct cell line, Cuffe and colleagues (6) previously demonstrated that ATP stimulates CACC-mediated Cl− secretion under short-circuit conditions. We generated a macroscopic current-voltage curve for this transient phase of the ATP response by plotting the change in Isc in the presence and absence of ATP at each clamped voltage (−50, −25, −10, 0, or +25 mV). We also examined this relationship in the presence of amiloride (10−5 M) so that we could isolate the effects of ATP on anion transport. ATP (10−5 M) induced an increase in positive Isc when Vte was clamped to greater than −10 mV, whereas ATP induced an increase in negative Isc when Vte was clamped to less than −10 mV (Fig. 3). The negative Isc response likely represents an increase in anion absorption, and not cation secretion, because these experiments were done in the presence of amiloride.
We hypothesized that this negative current signifies ATP-inducible anion absorption, which might operate under conditions of aldosterone stimulation. Aldosterone is the prototypic stimulator of ENaC activity in the cortical collecting duct, and stimulation of ENaC activity generates a lumen negative Vte. To verify that aldosterone might provide the electrical driving force for ATP-stimulated anion absorption, we compared the Vte of mpkCCDc14 cell monolayers treated with either vehicle or aldosterone (10−6 M for 4 h) under open-circuit conditions. As expected, aldosterone induced a drop in Vte from −10 mV (vehicle) to −50 mV, which corresponds to Vte of native cortical collecting duct under baseline and aldosterone-stimulated conditions, respectively (26–29).
ATP activates P2Y receptors and stimulates Cl− absorption through CACC in mpkCCDc14 cells.
To evaluate ATP-inducible anion absorption, we used a strategy in which we clamped aldosterone-stimulated mpkCCDc14 cells to a Vte of −50 mV, the Vte of aldosterone-stimulated cells under open-circuit conditions, before ATP treatment. We first verified that the current resulting from a Vte of −50 mV would be identical regardless of whether cells were treated with amiloride. We generated macroscopic current-voltage curves, in the absence of ATP (Fig. 4). The solid and dashed lines show the current-voltage relationship in the absence and presence of amiloride, respectively. These two lines intersect when the voltage is clamped to −50 mV, indicating that, at this voltage, the electrochemical gradient does not further drive ENaC-mediated ion transport.
We next treated mpkCCDc14 cells with aldosterone (10−6 M) for 4 h, added amiloride (10−5 M) to the apical surface, and clamped the Vte to −50 mV. Under these conditions, addition of ATP (10−6 M) to the apical surface induced an additional transient increase in negative IclampATP (Fig. 5). Since these experiments were done in the presence of amiloride, the increase in negative Isc most likely represents stimulation of Cl− absorption. We confirmed this with ion substitution experiments: substitution of Cl− with gluconate or sulfate largely reduced or eliminated IclampATP, respectively (Fig. 6). To rule out basolateral K+ transport as an underlying mechanism for IclampATP, we added BaCl2 (a broad spectrum K+ channel inhibitor) to the basal side of mpkCCDc14 cells before ATP addition. Basal application of BaCl2 (10−3 M) did not inhibit IclampATP (data not shown), indicating that basolateral Cl− efflux, rather than K+ influx, is responsible for IclampATP.
To identify the chloride channels involved in ATP-mediated Cl− absorption, we repeated this series of experiments in the presence of CFTR inhibitor-172 (a selective CFTR inhibitor) or FFA (a CACC inhibitor) before addition of ATP. Treatment of cells with CFTR inhibitor-172 (10−5 M) had no effect on IclampATP (data not shown); however, treatment of cells with FFA (2 × 10−4 M) inhibited IclampATP (Fig. 7), suggesting that ATP stimulates Cl− absorption through CACC. To confirm the involvement of CACC with IclampATP, we used the Ca2+ chelator BAPTA-AM to decrease the intracellular Ca2+ concentration in mpkCCDc14 cells. Pretreatment of cells with BAPTA-AM (5 × 10−5 M) eliminated IclampATP (Fig. 8).
The P2Y receptor system initiates ATP signaling in cortical collecting duct cells (6, 16, 17). To verify the involvement of P2Y receptors in IclampATP, we voltage-clamped mpkCCDc14 cells to −50 mV and treated cells with suramin (a broad spectrum P2Y receptor blocker) before apical addition of ATP (10−6 M). Pretreatment of cells with suramin (5 × 10−4 M) blocked IclampATP (Fig. 9).
mpkCCDc14 cells express TMEM16A and bestrophin-1.
The molecular identity of CACC in epithelial cells has proven to be elusive. Two potential molecular candidates for CACC have recently emerged: TMEM16A (5, 23, 33) and bestrophin-1 (1, 2). TMEM16A encodes a membrane protein that mediates CACC current when heterologously expressed in HEK293 cells (5, 23, 33). Knockdown of TMEM16A expression in pancreatic and bronchial epithelial cells also inhibits CACC activity (5). Bestrophin-1 is the product of VMD2 gene, mutations of which cause early-onset autosomal dominant macular dystrophy of the retina or Best disease (15). When transfected with bestrophin-1, HEK293 cells demonstrate ATP-stimulated CACC activity. Knockdown of bestrophin-1 expression in human airway cells also leads to suppression of ATP-inducible Cl− currents (1).
To document the expression of molecular candidates for CACC in mpkCCDc14 cells, we next performed RT-PCR to evaluate mRNA expression of TMEM16A and bestrophin-1 (1, 2, 5, 12). We used a PCR-based approach because we anticipated that expression of genes encoding CACC in mpkCCDc14 cells would be low. Mouse brain and kidney cDNA were run in parallel as positive controls. We detected TMEM16A and bestrophin-1 mRNA expression in mouse brain, kidney, and mpkCCDc14 cell lysates (Fig. 10).
AVP increases the concentration of extracellular ATP at the apical surface of mpkCCDc14 cells.
Our findings suggest that ATP stimulates CACC-mediated Cl− absorption in mpkCCDc14 cells under conditions of aldosterone stimulation. To identify associated conditions that might increase extracellular ATP concentration, we evaluated whether AVP increases ATP concentration at the apical surface of mpkCCDc14 cells. AVP has recently been shown to induce nucleotide secretion from isolated, perfused mouse cortical collecting duct (13). We administered vehicle control or AVP (10−9 M) to the basal side of mpkCCDc14 cells and compared the ATP concentrations at the apical surface of both groups of cells. We found that AVP induced a 56.5 ± 17% increase in ATP concentration at the apical surface of cell monolayers (Fig. 11), indicating that AVP can increase apical ATP concentration in cortical collecting duct cells.
DISCUSSION
In this study, we used the mpkCCDc14 cell line to examine the relationship between ATP-mediated regulation of ENaC and CACC activity in cortical collecting duct cells. We found that there were two distinct dose-response profiles for the ATP Isc response. At concentrations between 10−5 and 10−4 M, ATP induced a multiphasic response consisting of an initial transient peak, a second lower peak, followed by a sustained decrease in Isc. This sustained decrease in Isc, which fell below baseline Isc, represents ATP-mediated inhibition of ENaC because amiloride treatment eliminated the sustained decrease in Isc. At concentrations between 10−7 and 10−6 M, ATP only stimulated a transient peak in Isc. Interestingly, the direction of this peak current response was voltage dependent. When mpkCCDc14 cell monolayers were clamped to a Vte below −10 mV, ATP stimulated an increase in negative clamp current. Thus, when cells were clamped to a Vte of −50 mV, the Vte across aldosterone-stimulated mpkCCDc14 cells, ATP also induced an increase in negative clamp current.
We conclude that this increase in negative current represents an increase in Cl− absorption through CACC. Several lines of evidence support this conclusion. First, the macroscopic current-voltage relationship for ATP-inducible current demonstrates that when cells are clamped to a Vte of 0 mV, a condition in which passive transport is eliminated, the ATP response is not eliminated. This finding suggests that ATP does not simply induce a change in passive transport but rather a change in active transport. Second, in ion substitution experiments, when Cl− was substituted with gluconate, IclampATP was significantly inhibited; when Cl− was substituted with sulfate, IclampATP was abolished. These experiments indicate that Cl− is the predominant anion involved in IclampATP; furthermore, the small residual ATP response when Cl− was substituted with gluconate may reflect ATP-mediated stimulation of gluconate transport through CACC (18). Third, suramin, BAPTA-AM, and FFA could inhibit IclampATP, strongly suggesting that ATP activates P2Y receptors and signals through intracellular calcium to stimulate CACC.
Our data are also supported by the original findings by Cuffe and colleagues (6), who showed in M1 cortical collecting duct cells that ATP stimulates Cl− secretion through CACC. In this study, the authors characterized the same Cl− transport machinery that is present in mpkCCDc14 cells, but they performed these studies under short-circuit conditions. Our findings demonstrate that ATP stimulates Cl− absorption through CACC when cells are clamped to a Vte less than −10 mV, which may operate under conditions of aldosterone stimulation. Our studies expand the current understanding of CACC function in the kidney by considering the relationship between aldosterone and purinergic signaling pathways in regulating Cl− transport.
We propose that the status of ENaC activity, by controlling Vte, dictates the direction of ATP-stimulated Cl− transport via CACC in cortical collecting duct cells. Extracellular nucleotides can act as paracrine hormones that are released by renal epithelial cells in different physiological contexts. Recent studies demonstrated that urinary ATP production increases with high-NaCl feeding; this increase in ATP stimulates the P2Y2 receptor system in the cortical collecting duct to inhibit ENaC activity (16, 17, 22). Since high-dietary NaCl intake leads to ECF volume expansion, serum aldosterone levels are suppressed, and as a consequence, ENaC activity is further diminished. Thus, with high-dietary NaCl intake, ATP would stimulate Cl− secretion via CACC in cortical collecting duct cells because ENaC activity would be maximally inhibited. This mechanism could contribute to enhancing net urinary NaCl excretion under conditions of ECF volume expansion.
ATP production in cortical collecting duct cells may also increase under conditions where AVP levels are elevated. Using a biosensor approach, Odgaard and colleagues (13) demonstrated that AVP induces nucleotide secretion from isolated, perfused mouse cortical collecting duct, with an apparent peak nucleotide concentration of 300 nM. We also found that AVP stimulated an increase in ATP concentration at the apical side of mpkCCDc14 cells. With severe volume depletion, both aldosterone and AVP levels are elevated so that NaCl absorption in the cortical collecting duct is maximally enhanced. We suggest that AVP-mediated increases in local ATP concentration in cortical collecting duct cells, in the context of maximal ENaC activity, would lead to an increase in Cl− absorption through CACC. This is reminiscent of airway epithelia where cAMP increases Cl− absorption through CFTR when ENaC activity is elevated (31). This pathway in cortical collecting duct cells could thus serve to enhance Cl− absorption, in conjunction with Na+ absorption, in states of severe volume depletion.
In this study, we primarily characterized the transient phase of the ATP response. Dr. Jens Leipziger's group demonstrated that the cortical collecting duct spontaneously releases extracellular ATP into the tubular lumen and that AVP stimulates rapid bursts of nucleotide secretion (13). They propose that repeated bursts of ATP release may meld into an integrated increase in intracellular Ca2+ concentration in the cortical collecting duct. We suggest that repeated bursts of ATP secretion into the tubular lumen of the collecting duct occur in both volume expansion and depletion, which may lead to repeated stimulation of CACC and significant changes in urinary Cl− excretion over time. The relative contribution of this process to net urinary Cl− excretion, under different states of ECF volume, will need to be confirmed in future in vivo studies.
In conclusion, we show that ATP stimulates CACC-mediated Cl− absorption under conditions of aldosterone stimulation. These findings provide a framework for understanding the contexts under which ATP stimulates Cl− absorption vs. secretion in cortical collecting duct cells. The direction of Cl− transport is voltage dependent and dictated by the level of ENaC activity. With ECF volume expansion, ATP levels are elevated and ENaC activity is inhibited in cortical collecting duct cells so that ATP stimulates Cl− secretion via CACC. With ECF volume depletion, ATP levels are also elevated but ENaC activity is simultaneously stimulated so that ATP stimulates Cl− absorption via CACC. In both contexts, the interplay between aldosterone and purinergic signaling regulates NaCl transport in cortical collecting duct cells, which may ultimately contribute to the control of ECF volume status and blood pressure.
GRANTS
This work was supported by National Institutes of Health Grants K08-DK-073487 (to A. C. Pao) and T32-DK-7357-26A1 (to P. P. Kathpalia) and by Satellite Healthcare (2008 Norman S. Coplon Extramural Grant to A. C. Pao).
DISCLOSURES
No conflicts of interest, financial or otherwise, are declared by the author(s).
AUTHOR CONTRIBUTIONS
Author contributions: M.R. and A.C.P. conception and design of research; M.R. and P.P.K. performed experiments; M.R., P.P.K., and A.C.P. analyzed data; M.R., P.P.K., J.H.W., and A.C.P. interpreted results of experiments; M.R. and P.P.K. prepared figures; M.R. and A.C.P. drafted manuscript; M.R., P.P.K., J.H.W., and A.C.P. edited and revised manuscript; M.R., J.H.W., and A.C.P. approved final version of manuscript.
ACKNOWLEDGMENTS
We are grateful to Dr. Alain Vandewalle (Institut National de la Santé et de la Recherche Médicale) for providing mpkCCDc14 cells for the experiments. We thank Dr. Tom Kleyman (University of Pittsburgh) for valuable discussions.
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