852 BiophysicalJournal Volume81 August2001 852–866 2 PGE Activation of Apical Membrane Cl Channels in A6 Epithelia: 2 Impedance Analysis Teodor G. Pa˘unescu and Sandy I. Helman DepartmentofMolecularandIntegrativePhysiology,UniversityofIllinoisatUrbana-Champaign,Urbana,Illinois61801USA ABSTRACT Measurementsoftransepithelialelectricalimpedanceofcontinuouslyshort-circuitedA6epitheliaweremadeat audio frequencies (0.244 Hz to 10.45 kHz) to investigate the time course and extent to which prostaglandin E (PGE ) 2 2 modulates Cl2 transport and apical membrane capacitance in this cell-cultured model epithelium. Apical and basolateral membraneresistancesweredeterminedbynonlinearcurve-fittingoftheimpedancevectorsatrelativelylowfrequencies(,50 Hz) to equations (Pa˘unescu, T. G., and S. I. Helman. 2001. Biophys. J. 81:838–851) where depressed Nyquist impedance semicircles were characteristic of the membrane impedances under control Na1-transporting and amiloride-inhibited con- ditions.Inalltissues(control,amiloride-blocked,andamiloride-blockedandfurosemide-pretreated),PGE causedrelatively 2 small (,;3 mA/cm2) and rapid (,60 s) maximal increase of chloride current due to activation of a rather large increase of apical membrane conductance that preceded significant activation of Na1 transport through amiloride-sensitive epithelial Na1 channels (ENaCs). Apical membrane capacitance was frequency-dependent with a Cole-Cole dielectric dispersion whoserelaxationfrequencywasnear150Hz.Analysisofthetime-dependentchangesofthecomplexfrequency-dependent equivalentcapacitanceofthecellsatfrequencies.1.5kHzrevealedthatthemean9.8%increaseofcapacitancecausedby PGE was not correlated in time with activation of chloride conductance, but rather correlated with activation of apical 2 membraneNa1transport. INTRODUCTION In experiments designed to study hormonal regulation of persionsataudiofrequencies(Awaydaetal.,1999;Liuand Na1transportinepithelialtissues,theactivationofchloride Helman, 1998; Pa˘unescu and Helman, 2000) that compli- transportinadditiontosodiumtransportimposescomplex- cate measurement of plasma membrane capacitance. The itiesinthedesignofexperimentsandinterpretationofdata theoretical principles and considerations relevant to the unlike those encountered in studies of frog skin and toad present studies have been discussed elsewhere (Pa˘unescu urinary bladder where adenosine 39,59-cyclic monophos- andHelman,2001)whereweexaminedthecontributionsof phate(cAMP)selectivelyactivatesapicalmembraneamilo- Maxwell-Wagner-like and Cole-Cole dielectric dispersions ride-sensitive epithelial Na1 channels (ENaCs) (Els and tothetransepithelialimpedancelocusoftheseriesarrange- Helman, 1981, 1997; Schlondorff and Satriano, 1985). To ment of apical and basolateral membrane impedances that understandthecomplexitiestobeencounteredinstudiesof are paralleled electrically by paracellular shunt resistances. cell-cultured A6 epithelia where cAMP activates both Na1 Evaluationofthetime-dependentchangesofshort-circuit and Cl2 channels, we turned to noninvasive methods of currentandtransepithelialimpedancehasledustoconclude impedance analysis to determine the time course and mag- that PGE maximally activates a rather large apical mem- 2 nitude of change of apical membrane conductance to chlo- brane chloride conductance in ,1 min. Activation of chlo- rideandapicalmembranecapacitanceinresponsetoeleva- ride channels preceded activation of the apical membrane tion of intracellular cAMP by forskolin and prostaglandin sodium conductance from basal states where chloride con- E (PGE )thatareknowntoelevatecAMPintargettissues ductancewasimmeasurablysmallorabsentinA6epithelia 2 2 (Chalfant et al., 1993; Hall et al., 1976; Sonnenburg and grown on Transwell-clear inserts. Because the time-depen- Smith, 1988; Yanase and Handler, 1986; Noland et al., dent increases of apical membrane capacitance paralleled 1992). the increases of sodium transport and were completely Although the measurement of transepithelial impedance dissociated from those of activation of chloride conduc- is in principle straightforward, previous studies from our tance,weconcludedthattheslightlydelayedandrelatively laboratory had indicated that the dielectric properties of slow increases of capacitance were associated with activa- epithelial plasma membranes may exhibit a-dielectric dis- tion of apical membrane sodium conductance. Received for publication 19 September 2000 and in final form 26 April MATERIALS AND METHODS 2001. Tissues, solutions, and drugs AddressreprintrequeststoDr.SandyI.Helman,Dept.ofMolecularand Integrative Physiology, University of Illinois at Urbana-Champaign, 524 A6 cells at passages 109 to 114 were used in the present studies. After BurillHall,407S.GoodwinAve.,Urbana,IL61801-3796.Tel.:217-333- growthon75cm2plasticcultureflasksat28°Cinahumidifiedincubator 7913;Fax:217-333-1133;E-mail:[email protected]. containing1%CO ,thecellsweresubculturedonTranswell-clearcluster 2 © 2001bytheBiophysicalSociety inserts(Costar,Cambridge,MA)foratleast14daystoachieveconfluence 0006-3495/01/08/852/15 $2.00 anddevelopmentoftheirtransepithelialtransportcharacteristics(Helman PGE -ActivatedEpithelialCl2Channels 853 2 FIGURE 1 (A)Compositevoltagecommandsignal,V ,consistedofthevectorialsumof43sinusoidswithrelativeamplitudes(B)andphaseangles cmd (C)andwithtimeperiods,T,determinedbytheirfundamentalfrequencies(0.244,3.91,and50.0Hz). andLiu,1997).ThetissueswerefedtwiceweeklywithaCl2-richgrowth free, gluconate Ringer’s solution containing 100 mM sodium gluconate, medium that was based on a mixture of equal parts of Ham’s nutrient 2.4 mM KHCO, and 2.0 mM CaSO was perfused through apical and 3 4 mixtureF-12withL-glutamineandwithoutsodiumbicarbonate(N-6760, basolateralchambersinthoseexperimentswheretissueswereexposedfor SigmaChemicalCo.,St.Louis,MO)andL-15Leibovitzmedium(L-4386, 1 h during control periods and chronically thereafter to chloride-free Sigma Chemical Co.). This mixture was supplemented with 10% fetal solution. bovine serum (FBS) (SH0070, HyClone, Logan, UT), 2.57 mM sodium bicarbonate,3.84mML-glutamine(SigmaChemicalCo.),96U/mlpeni- cillin,and96mg/mlstreptomycin(BioWhittaker,Walkersville,MD). Impedance analysis The tissues were transferred to edge damage-free chambers (Abram- checketal.,1985;Awaydaetal.,1999)andshort-circuitedfortheduration Transepithelialimpedancewasmeasuredundervoltageclampconditions oftheexperimentsusingaverylow-noise,four-electrode(Ag/AgCl,4.5M using three overlapping bands of frequencies (low, medium, and high) NaCl,3%agar)voltageclampwhilebeingperfusedcontinuouslyatflow between0.244Hzand10.45kHz(Fig.1)andusingessentiallythesame ratesof;7ml/minthroughchambervolumesof;0.5mlwiththegrowth approach described previously (Awayda et al., 1999), but with several medium without FBS and glutamine. Na1, K1, Cl2, Ca21, and Mg21 modifications.Thevoltagecommandsignals(V )consistedofthevec- cmd concentrationswere103.0,3.34,106.8,0.59,and0.91mM,respectively. torialsumof43frequencieswheretheabsoluteamplitudeofeachsinusoid Short-circuitcurrents(I )wereallowedtostabilizeforatleast2hbefore decreasedwithincreasingfrequency(Fig.1B)andwiththephaseangle sc onset of experimental periods. Characteristically, the I increased tran- indicatedinFig.1C.Thisdesignofthecompositevoltagecommandsignal sc sientlywhentissueswereinitiallyshort-circuited,returningtonearsteady- servedtoassurethatthecapacitivecurrentsateachfrequencywouldbe state values within 1 to 2 h (Pa˘unescu et al., 1997); 100 mM amiloride closer in magnitude than would occur if the amplitudes of the voltage addedtotheapicalperfusionsolutionwasusedtoinhibitblocker-sensitive command sinusoids were of equal amplitude at all frequencies. With Na1currents(Ibs). fundamentalperiods(T)of4.098s(lowfrequencies),255.7ms(medium Na To elevate intracellular cAMP, forskolin (Sigma Chemical Co.) or frequencies),and20ms(highfrequencies),correspondingtofundamental prostaglandinE (PGE)(SigmaChemicalCo.)wasaddedtothebasolat- frequencies of 0.244, 3.91, and 50.0 Hz, the relative amplitudes of the 2 2 eralperfusionsolutionatfinalconcentrationsof25mMor1mM,respec- voltagecommandsinusoidsinallthreefrequencybandscanbecompared tively.StocksolutionsofforskolinandPGE weredissolvedinethanolat (Fig.1B),especiallyintheoverlappingrangesoffrequencybetweenbands 2 1022 M and stored at 220°C. Furosemide (Sigma Chemical Co.) was (3.91to51.02Hzand50.0to816.4Hz).Consequently,impedanceinthe addeddirectlytothebasolateralsolutionat1mMtoinhibitelectroneutral overlappingbandsoffrequencywasmeasuredwithsinusoidsofmarkedly chloride transport at the basolateral membranes of the cells (Brazy and differing voltage and current amplitudes at each time point of measure- Gunn,1976;LambertandLowe,1980;Stoddardetal.,1985).Achloride- ment, thereby providing a built-in check for testing and assuring that BiophysicalJournal81(2)852–866 854 Pa˘unescuandHelman impedancewasindependentofthemagnitudeofV .Themagnitudesof cmd V (Fig.1A)wereadjustedsothatthepeak-to-peakchangesoftrans- cmd epithelialvoltagewerenear2mV.Consequently,itcouldbeassumedthat impedancewasmeasuredforallpracticalpurposesinlinearrangesofthe current-voltagerelationshipsofthechannels. An IBM-compatible computer containing a DSP2200 board (16 bit ADCs,16bitDACs,NationalInstruments,Austin,TX)wasprogrammed using LabWindows for DOS to output the analog V signals and to cmd simultaneously digitize the measured transepithelial voltage and current signalsafteramplificationandfiltrationattheNyquistfrequencies.Low, medium,andhighfrequencybandswereeachoutputinsequenceoverfour timeperiodsanddatacollectionforanalysiswasretainedforonlythelast periodofeachband.Accordingly,thetotaltimefordataacquisitionwas near 5.2 s [4.098 1 (4 3 0.2557) 1 (4 3 0.020)]. These signals were Fourier-transformed to yield the voltage and current vectors. Z was meas calculatedasthequotientofvoltageandcurrentvectorsattherespective frequencies. Where appropriate, data were normalized to planar surface areaandplottedasNyquist(ReZ vs.ImZ )orBodeplots(uZ uand meas meas meas phaseangleversusfrequency).SeeResultsforcalculationsofapicaland basolateralmembraneresistancesandcapacitances. Data are summarized as means 6 SE. Statistical analyses were per- formedwithSigmaStat(JandelScientificSoftware,SanRafael,CA)using paired or unpaired t-tests where appropriate. A p value , 0.05 was consideredsignificant.Allexperimentswerecarriedoutatroomtemper- ature. RESULTS Activation of amiloride-insensitive chloride current by forskolin and PGE 2 In agreement with the observations of others (Yanase and Handler, 1986; Perkins and Handler, 1981; Chalfant et al., FIGURE 2 Typicalstripchartrecordingsareshownoftheshort-circuit 1993; Niisato and Marunaka, 1997), increases of intracel- current responses to forskolin or PGE in control (A) and amiloride- 2 lular cAMP lead to activation of chloride currents in A6 pretreated tissues (B and C). The tissue in A was treated with 25 mM epithelia. As indicated in the strip chart recording of Fig. 2 forskolin. A,wehaveobservedcharacteristically,followingtreatment witheitherforskolinorPGE ,thattheI increasesabruptly 2 sc within tens of seconds to peak or quasi-plateau values sitive short-circuit currents increased abruptly within 30 to (Pa˘unescu, 1999). After what appears to be a short delay, 40 s to peak values, followed by relaxation of the currents theI increasesmarkedlyandrelativelyslowlytosubstan- in,10mintostablebutelevatedvaluesthatweresustained sc tially elevated plateau values within 20 to 30 min that are forthedurationofobservation(1to2h).Intheabsenceof sustained for several hours. Addition of amiloride to for- PGE furosemide was without effect on the amiloride-in- 2 skolin-orPGE -stimulatedtissuesattheendsof2-hexper- sensitive currents (Fig. 2 C). In PGE -stimulated tissues 2 2 iments (not shown) characteristically resulted in large inhi- furosemide addition to the basolateral solution inhibited bitions of the I . Compared to untreated tissues where the reversibly, but not completely, the amiloride-insensitive sc steady-state amiloride-insensitive currents, Iamil, normally current (Fig. 2, B and C). Peak current values averaged sc average in the range of 0.1–0.3 mA/cm2 (Pa˘unescu et al., 3.32 6 0.17 mA/cm2 (amiloride, n 5 3) and 2.26 6 0.23 1997, 2000b) and that averaged 0.16 6 0.03 mA/cm2 (n 5 mA/cm2 (amiloride 1 furosemide, n 5 3) at 37.9 6 2.7 s 6)inthepresentseriesofexperiments(Fig.2,BandC),the (n 5 6) following exposure of the tissues to PGE . The 2 IamilofforskolinandPGE -treatedtissuesaveraged1.916 currents decayed thereafter with a time constant of 2.48 6 sc 2 0.18 mA/cm2 (n 5 12) and 1.66 6 0.09 mA/cm2 (n 5 11), 0.14 min (n 5 6) to plateau values that averaged 1.20 6 respectively. Because the responses to forskolin, PGE , 0.11 mA/cm2 (amiloride, n 5 3) and 0.51 6 0.12 mA/cm2 2 exogenous cAMP, and theophylline caused similar in- (amiloride1furosemide,n53).Afteradditionaltreatment creases of the amiloride-insensitive short-circuit currents of amiloride-blocked tissues with furosemide, the currents (Pa˘unescu,1999;Pa˘unescuandHelman,1998,2000),PGE decreased to 0.38 6 0.04 mA/cm2 (n 5 3) (Fig. 2 B). 2 was used exclusively in the experiments reported below. Shown in expanded form in Fig. 3 are representative When amiloride-blocked tissues were challenged with changes of I (DI ) from basal levels caused by PGE sc sc 2 PGE as indicated in Fig. 2, B and C, the amiloride-insen- within7mininacontroltissue,anamiloride-blockedtissue 2 BiophysicalJournal81(2)852–866 PGE -ActivatedEpithelialCl2Channels 855 2 FIGURE 3 Time courses of change of the short-circuit current, DI , sc caused by PGE within the first 7 min in a control tissue and a tissue 2 pretreatedwithamiloridethatwerebathedwiththechloride-richsolution. Also shown is the time course of change of the DI of a control tissue FIGURE 4 (A)TypicalNyquistplotsofthemeasuredimpedance,Z , sc meas bathedwiththechloride-freesolution.Thedelayinonsetofincreaseofthe are illustrated for a control tissue that was treated with amiloride. The sodiumcurrentwas;30s,atwhichtimestimulationofchloridecurrent frequencies of the impedance vectors are indicated at the apices of the wasnearmaximal. semicircles and at 300 Hz. An expanded view of the impedance vectors between300Hzand10,450HzisshowninB.ThesolidlinesshowninA weredeterminedbynonlinearcurve-fittingoftheimpedancevectorstoEq. 1(seetextandFig.6). bathedinthechloride-richperfusionsolution,andacontrol tissue bathed in chloride-free solution. Whereas currents in tissues with functional ENaCs exhibit relatively large sec- additionallytreatedwithfurosemide.Neglectingthecontri- ondaryincreasesofamiloride-sensitivecurrent(notshown), bution of amiloride-insensitive Na1 currents to the Iamil of sc the delayed increases of current are absent in amiloride- furosemide-treated tissues, furosemide inhibited between pretreated tissues but are observed in chloride-free media. ;70–100%ofthechloridecurrentactivatedbyPGE .Ifthe 2 Notably, the abrupt increases of current are completely IamilofPGE -treatedtissuesbathedinchloride-freesolution sc 2 absent in chloride-free media, thereby providing evidence is taken as an estimate of the amiloride-insensitive Na1 that the initial response to PGE and forskolin is due to current (0.47 6 0.08 mA/cm2, n 5 5) then furosemide 2 activation of a chloride conductance that precedes full ac- inhibited nearly 100% of the steady-state PGE -activated 2 tivationofNa1transport.Intheseregardsourobservations chloride current. In the absence of step changes of Iamil in sc are the same as those reported by Chalfant et al. (1993). response to a high concentration of basolateral furosemide, The amiloride-insensitive currents following PGE or it would be reasonable to conclude that furosemide acts to 2 forskolin represent the maximal increases of chloride cur- inhibit basolateral membrane chloride entry into the cells rentattheirpeakandduringthesubsequentsteadystatesof viaanelectroneutralmechanism(s)oftransportbecausestep transport.Inthisregarditisrelevanttonotethattheamilo- changes of transcellular resistance, if they occurred, would ride-insensitive basal short-circuit currents prior to PGE / cause step changes of short-circuit current that were never 2 forskolin are due principally to amiloride-insensitive Na1 observed. currents(Baxendale-Coxetal.,1997).Itisunknowntowhat extent PGE /forskolin may activate amiloride-insensitive 2 Impedance of control and Na1 current together with the chloride current. Conse- amiloride-treated tissues quently, the specific current due to chloride would be less than that measured by Iamil if amiloride-insensitive Na1 TypicalNyquistplotsofthemeasuredimpedance(Z )of sc meas currents are increased by PGE /forskolin. Thus, for tissues control,unstimulatedtissuesbeforeandaftertreatmentwith 2 continuously short-circuited, the steady-state chloride cur- amilorideareillustratedinFig.4.I averaged7.4160.60 sc rents activated by PGE /forskolin are rather small in mag- mA/cm2 and was decreased to 0.46 6 0.06 mA/cm2 within 2 nitude,averagingatmost,2mA/cm2inamiloride-blocked 6minafteramiloride(Table1).Theimpedancelocus(Fig. tissues and at most near 0.44 mA/cm2 when tissues are 4 A) conformed to a depressed semicircle at frequencies BiophysicalJournal81(2)852–866 856 Pa˘unescuandHelman TABLE 1 Effectof100mMamilorideonthebasalelectricalparametersofshort-circuitedA6epithelia I R R R Cfit ffit gfit sc T p cell eq (mA/cm2) (kVzcm2) (kVzcm2) (kVzcm2) (mF/cm2) (Hz) Control 7.4160.60 6.1160.77 10.7461.83 15.8361.73 1.3660.04 21.763.4 0.9660.012 6minafterAmiloride 0.4660.06 10.6161.81 — 262629 1.3960.04 13.563.1 0.9660.003 45minafterAmiloride 0.2760.01 9.7661.58 10.0361.65 419622 1.4060.03 14.263.1 0.9660.003 Valuesaremeans6SE(n56)andwhereapplicablearenormalizedtoplanarsurfacearea.R werecalculatedbythemethodofYonathandCivan(1971). p ,;100HzandcouldbefittoanequationintheformofEq. existsincontroltissues,itsvaluemustbeextremelylowand 1, thereby permitting estimation of the dc resistance. Al- immeasurably small. though not apparent when viewed this way, the data points Capacitance of control and at frequencies .100 Hz did not conform to this equation amiloride-treated tissues (see below) and so the apparent resistance of apical and basolateral solutions, Rapp, calculated this way (156.6 6 Frequency-dependent capacitances can arise from Max- sol 36.7 V z cm2, n 5 6) overestimated the actual series resis- well-Wagner and/or Cole-Cole dielectric dispersions tance R (47.5 6 1.5 V z cm2, n 5 6). The R could be (Pa˘unescu and Helman, 2001). At sufficiently high fre- sol sol estimated by eye to within ;1–2 V z cm2 by extrapolation quencies where the apical and basolateral membrane of the ImZ to the real axis. In practice, R was deter- capacitive reactances are considerably less in value than meas sol mined by nonlinear curve-fitting of the ReZ to infinite theirrespectivemembraneresistances,theequivalentcell meas frequency using TableCurve (SPSS Inc., Chicago, IL). The capacitance,C 5C C /(C 1C ),wouldbeconstantif eq a b a b transepithelialresistance(R )wasdeterminedasthediffer- the C and C were frequency-independent. If, however, T a b ence between the dc value of Z (Zdc ) and the R . the capacitances exhibit audio frequency a-dispersions, meas meas sol C would appear as a complex frequency-dependent Rfit eq Zmeas511~jvRfitCefiqt!gfit1Rsaoplp (1) capAatcaitlalnfrceequCe*enqc.iesC*eq[[jv(Za1Zb)]21(Pa˘unescuand Helman, 2001). Accordingly, the transepithelial impedance In these and all subsequent experiments, R was not sol is given by Eq. 2 and C* can be determined from the changed by amiloride nor PGE . Control R averaged eq 6.1160.77kVzcm2andat6and245minwasiTncreasedto measuredvaluesofZTandRp.ShowninFig.5Aaretypical means of 10.61 and 9.76 kV z cm2, respectively, at these resultsforatissueinitscontrolandamiloride-treatedstates. With increasing frequency, uC*u decreased from values time points (Table 1). With the values of transepithelial eq conductance (G 5 R21) and short-circuit currents before near 1.5 mF/cm2 to near 0.9 mF/cm2 at 10.45 kHz. Amilo- and after amilorTide, theTshunt resistance R 5 G21 and the ride did not change the uC*equ. p p The´venin emf of the cellular pathway for Na1 transport R Z 5 p (2) (E ) were calculated using the method of Yonath and T 11jvR C* Na p eq Civan (1971) where G 5 I /E 1 G . R averaged 10.74 T sc Na p p and10.03kVzcm2at6and45minafteramiloride(Table1) The mean uC*u of amiloride-treated tissues is summa- eq andtheE averaged112.564.3mV(n56),whichisquite rized in Fig. 5 C. The solid line fitted manually defines an Na typical for A6 and other tight epithelial tissues that transport approximate Cole-Cole a-dispersion with a characteristic Na1 exclusively through apical membrane ENaCs (Helman frequency near 150 Hz. The deviations of uC*u and phase eq andLiu,1997;Koeppenetal.,1980;HelmanandThompson, anglefofC* frompureCole-Colebehaviorshownbythe eq 1982;MacchiaandHelman,1979;YonathandCivan,1971). manually fitted lines in Fig. 5, C and D at frequencies From the differences between R and R , the series re- ,;10 Hz are expected due to the Maxwell-Wagner-like T p sistanceofapicalandbasolateralplasmamembranesofthe dispersion (Pa˘unescu and Helman, 2001). It should be cells,R 5R 1R ,wascalculatedtohavebeenincreased stressedthatmanualfittingofasingleCole-Colerelaxation cell a b byamiloridefrom15.83kVzcm2to.260kVzcm2(Table processtothedataisnotexact,andsothesolidlinesshown 1). To the extent that control tissues express amiloride- in Fig. 5, B and C should be taken as reasonable but sensitive ENaCs and amiloride-insensitive Na1 currents imperfect approximations. that are small, the amiloride-insensitive resistance of the ShownalsoinFig.5BaretypicalNyquistplotsofC* eq apicalmembraneisexpectedtobeintherangeof250kVz for the control and amiloride-treated states of the tissues. cm2ifapicalmembranevoltageis100mVandtheblocker- Significant deviations from single ideal depressed semi- insensitiveNa1current,Ibi,is0.4mA/cm2.Thus,incontrol circles were observed, as expected at the lower frequen- sc tissues, apical membranes are predominantly permeable to ciescorrespondingtothoseassociatedwiththeMaxwell- Na1. If a finite apical membrane chloride conductance Wagner dispersions (Pa˘unescu and Helman, 2001). BiophysicalJournal81(2)852–866 PGE -ActivatedEpithelialCl2Channels 857 2 FIGURE 5 Apicalmembranecapacitanceisfrequency-dependent.ShowninAaretypicalplotsofthedependenceonfrequencyoftheabsolutevalues oftheequivalentcellcapacitance,uC*u,inthecontrolstateofatissueandafterinhibitionofNa1transportbyamiloride.Whenthesedataareplottedas eq NyquistplotsasindicatedinB,thecapacitancevectorsappeartoconformtoadepressedsemicircle(dielectricincrement’0.58mF/cm2;Cole-Colepower lawcoefficient’0.65;characteristicfrequency’110Hz)atthehigherfrequencies.Significantdeviationsfromapuredepressedsemicircleatthelower frequenciesareexpectedandobservedduetotheMaxwell-Wagnereffectatthelowerfrequencies(Pa˘unescuandHelman,2001).Asummaryofthemean uC*uisshowninCwithselectedstandarderrorbarsatthelowerfrequenciesandatseveralhigherfrequenciesforthepurposeofclarity.Thecorresponding eq meanphaseanglesofC* aresummarizedinD.ToillustratetheapproximatecontributionandlocationoftheCole-ColerelaxationprocessinCandD eq (solidlines),theparametersoftheprocesswereadjustedmanually(dielectricincrement50.54mF/cm2;powerlawcoefficient50.625;characteristic frequency5150Hz;limitingstaticcapacitance50.89mF/cm2)accordingtoEq.5inPa˘unescuandHelman(2001)toobtainanapproximatefitofthe linestothemeandatapoints.Morerobustmethodswerenotattemptedduetothelessthanadequatenumberandreliabilityofdatapointsatthelowest frequencies. Nevertheless, it was apparent, at least to a first approxi- Capacitancecalculatedattheapexofthefittedsemicircle mation, that an a-relaxation process was responsible for yieldedmeanvaluesnear1.36and1.40mF/cm2forcontrol thefrequencydependenceofC* .BecauseC ,,C (see andamiloride-treatedtissues,respectively(Table1)atmean eq a b below), it follows that this dispersion arises predomi- frequencies near 22 and 14 Hz, respectively. The corre- nantly from the apical membranes of the cells. Conse- spondingmeanvaluesofuC*uatthesefrequenciesreported eq quently, apical membrane capacitance could not be as- in Fig. 5 C are 1.33 6 0.03 and 1.36 6 0.03 mF/cm2 at 22 sumed to be constant in the audio range of frequencies. and 14 Hz, respectively, and are quite similar to the fitted Provided that the bandwidth of impedance vectors was valuesexpectedatthesefrequencies(Pa˘unescuandHelman, limitedtoamaximumof;50Hzorlessforthepresentset 2001).Itshouldbenotedthatthecapacitancescalculatedat ofexperiments,itwaspossibletoobtainsatisfactoryfitsof theapicesofthefitteddepressedsemicirclesarenotunique, theimpedancevectorsinthislimitedrangeoffrequenciesto but will depend not only on the frequency dependence of Eq. 1, which is an equation of a depressed semicircle. C* but also on the values of Rfit ’ R because the fre- eq p Typically, as illustrated in Fig. 6 and viewed as Nyquist quency at the apices ffit 5 (2pRfituC*u)21. Consequently, eq (Fig.6,AandB)orBode(Fig.6,CandD)plots,thefitted differences in the tightness or leakiness of the paracellular lines deviated significantly from symmetrical depressed shunt pathways will result in differences in ffit and thus semicircles at frequencies .100 Hz. Rapp significantly un- differencesincapacitancecalculatedthisway,eventhough sol derestimated the values of R as noted above (Fig. 6 B). C* has not changed. sol eq BiophysicalJournal81(2)852–866 858 Pa˘unescuandHelman FIGURE 6 Impedancedataofcontrolandamiloride-treatedtissueswerefittoEq.1atfrequencies,50HzasshownbythesolidlinesinNyquist(A and B) and Bode plots (C and D). (A) The fitted solid lines were depressed from ideal semicircles (dashed line). (B) Expanded view of A at higher frequencies.Thesolidfittedlinedeviatedfromthedatapointsatfrequencies.50HzandintersectedtherealaxisatvaluesofRappsignificantlylessthan sol thoseofR ,indicatingthattheimpedancelocusisskewedtowardlowfrequencies. sol PGE activates a large apical membrane TheimpedancevectorsnormalizedtothevaluesofZdc 2 meas conductance to chloride (Fig. 7 B) more clearly indicate that the impedance locus waschangedbyPGE fromasingledepressedsemicircleat PGE2causesnotonlyadramaticdecreaseintransepithelial frequencies,50Hzi2ntheamiloridecontrolstatetoalocus impedancebutalsoamarkedchangeoftheimpedancelocus consistent with a large decrease of apical membrane resis- as indicated for a typical experiment, illustrated in Fig. 7. tance. Under these latter circumstances where apical mem- Thechangeofimpedancewasclearlymaximalat2min(not brane resistance, R , is decreased by PGE into a range of shown) at frequencies .5 Hz. The impedance at the very a 2 values comparable in magnitude to the basolateral mem- low frequencies ,;3–4 Hz could not be resolved during brane resistance, R , and where in addition the time con- thetransientrelaxationofcurrentsthatviolatedtherequire- b stants of apical and basolateral membranes are sufficiently ment of steady-state currents and voltages to measure im- differentfromeachothertoresultinobservableinteracting pedance. It should be noted that these experiments were semicircles in Nyquist plots, the measured impedance is carried out in the presence of amiloride to block Na1 quite generally: currents so that the responses could be attributed to an increase of Cl2 conductance. R of the amiloride-treated ~Z 1Z !R tissue in Fig. 7 was decreased froTm near 13 to 4 kV z cm2. Zmeas5Z 1a Z 1b Rp 1Rsol (3) From control values of 0.27 6 0.01 mA/cm2, the Iamil a b p sc averaged at 16 and 45 min after PGE 2.01 and 1.93 where apical (Z ) and basolateral (Z ) membrane imped- 2 a b mA/cm2, respectively. The mean R was decreased from ances are: T amiloridecontrolvaluesnear10kVzcm2(Table1)to3.52 and 3.39 kV z cm2 (Table 2), respectively, at these same Z 5 Rafit (4) timepoints.Within2minPGE2causedmaximaldecreases a 11~jvRafitCafit!gafit of impedance that were sustained. The changes of imped- ance were reversible after withdrawal of PGE although Rfit 2 Z 5 b (5) rceovmerpslaeltewaats 4co5nsmidine.raFblryomslotwheerP(GFiEg.-7stiCm)ulaantdednoIatmqiluiotef b 11~jvRbfitCbfit!gbfit 2 sc 1.8260.07mA/cm2(n56),theIamildecreasedafterPGE It should be emphasized here, as above, that the values of sc 2 washout at 2, 6, and 45 min to 1.02 6 0.07, 0.74 6 0.06, CfitandCfitarethoseattheuniquefrequenciesattheapices a b and 0.39 6 0.03 mA/cm2, respectively. of the semicircles and where the semicircles would be BiophysicalJournal81(2)852–866 PGE -ActivatedEpithelialCl2Channels 859 2 FIGURE 8 PGE causes decrease of both apical (R) and basolateral 2 a membrane (R) resistance of amiloride-pretreated tissues as shown in A. FIGURE 7 PGE causesadramaticchangeofimpedanceanditslocus, b 2 WhereasthedecreaseofR ismaximalwithin2min,thedecreaseofR is asindicatedinA.ThedataofAwerenormalizedtothevaluesofZmdceasto relatively slow, but essentaially complete within ;6–10 min. The corbre- betterillustratethechangeofimpedancelocusasshowninB.Theimped- spondingchangesofthetranscellularThe´veninemf,E ,areshowninB ancevectorsatthelowerfrequencies,;200HzofPGE-treatedtissues cell 2 (seetext). requiredthefittingofatleasttwodepressedsemicircles(solidline)toEq. 3(seetext).TheeffectsofPGE werepartiallyreversiblewithin45min, 2 as indicated in C. In comparison with the onset of PGE effects on 2 impedancethewashoutwasrelativelyslow,asindicatedbythechangesof that were evident by inspection of the impedance plots. Ca impedancelocusat2,6,and45min. and C were estimated at frequencies corresponding to the b approximate apices of the impedance loci. We will refer to theapicalandbasolateralmembraneresistancesandcapac- depressed if the power law dependencies gfit and gfit were itancesbelowsimplyasR ,R ,C ,andC ,recognizingthat a b a b a b less than unity due to capacitance being frequency-depen- these parameters were determined by fitting of the imped- dent (Pa˘unescu and Helman, 2001). ance loci to Eq. 3 at the very low audio frequencies. To determine apical and basolateral membrane resis- During steady-state periods of transport and at time tances and capacitances, impedance data were fit by non- pointsof16and45min,R averaged1.42and1.70kVzcm2 a linear curve-fitting (Scientist for Windows, MicroMath, andR averaged4.02and3.90kVzcm2,respectively(Table b Inc.,SaltLakeCity,UT)toEq.3atfrequencies,50Hzfor 2). R averaged near 10 kV z cm2 (Table 2) and was p the amiloride control data, as was indicated above, and at essentiallyunchangedbyPGE .Althoughitwasnotpossi- 2 frequencies,200HzwhentissuesweretreatedwithPGE bletodeterminethevaluesofR beforePGE incontrolor 2 b 2 (Fig. 7). Starting values of R were determined indepen- amiloride-blockedtissues,thePGE -relatedtime-dependent p 2 dently before treatment of the tissues with PGE . Starting changesofR andR couldbeassessedasindicatedinFig. 2 a b values of R and R were estimated with the values of R 8 A. R was maximally decreased from greater than a few a b cell a and the fractional transcellular resistances (R /(R 1 R )) hundred kV z cm2 within 2 min by PGE and remained a a b 2 BiophysicalJournal81(2)852–866 860 Pa˘unescuandHelman essentiallyconstantforthe45minperiodofobservation.In frogskinandtoadurinarybladder,wheregenerallyE 5 cell contrast, it became apparent following PGE that R de- E averages above 100 mV and as indicated above, 112.5 2 b Na creased from .5 kV z cm2 to steady-state values near 4.0 mV for the A6 epithelia of the present experiments. kVzcm2within6min.R incontroltissuesdeterminedby For tissues like A6, where cAMP activates both Na1 b a different method was found to average .6.6 kV z cm2 and Cl2 channels and where chloride channels are rela- (Pa˘unescu,1999)and9.0kVzcm2(Pa˘unescuetal.,2000b), tively close to electrochemical equilibrium, the E after a which would be consistent with the time-dependent de- PGE mustmovetowardtheNernstequilibriumpotential 2 creaseofR measuredherebyimpedanceoftissuestreated difference of Cl2, d . With amiloride-blocked tissues b Cl with PGE . Accordingly, whereas the PGE -related de- whereapicalmembranesexpressblocker-insensitiveNa1 2 2 crease of R was relatively small and relatively slow, the channels (Rbi ), E 5 (E Rbi )/(Rbi 1 R ). Because R b Na a Cl Na Na Cl Cl major and very rapid effect of PGE was to decrease the ,, Rbi , after PGE E can practically be equated with 2 Na 2 a apicalmembraneresistancetovaluesconsiderablylessthan d . Thus, with reference to a grounded apical solution, Cl those of the basolateral membranes of the cells. E 5 E 2 d 5 Iamil(R 1 R ) so that E can be cell b Cl sc a b cell calculatedfromtheIamilandtranscellularsloperesistance sc (R 1 R ). As indicated in Fig. 8 B, E decreased a b cell Transcellular emfs dramaticallywithin2minfrom112.5mVtomeanvalues of 20.4 mV, and then to 10.9 and 10.7 mV at 16 and 45 Themagnitudesofthetranscellularcurrentbeforeandafter min, respectively, after PGE . Consequently, despite a PGE willbedeterminednotonlybyR andR ,butalsoby 2 chang2esofthetranscellulardrivingforcaeE wbhereE 5 rapid opening of a large apical membrane Cl2 conduc- cell cell E 1E andwhereE andE are,respectively,theThe´venin tance within 2 min, the initial peak magnitude of the emafsofbapicalandbaasolaterbalmembranes.Accordingly,Isc chloride current (ICl 5 (Va 2 dCl)/RCl) was compensated 5whe(Erea 1apicEabl)/(mReam1braRnbe)s5arEecpelol/p(Ruala1tedRpbr)i.nBciepfaolrleyPifGnEo2t, Cfolr2bcyuarrecnotrreenstpeornsdtihnegclyelllasrigneitdiaelclyre,aVsea .ofdECcel.ll.WBiethcaluosses solelybyamiloride-sensitiveand-insensitiveNa1channels of Cl2 from the cells and increase of dCl, Ecell declines a2pn0adl0l1yw)b,hyeIsrtcehe5EcaoEinsbda/(utRcoatra1nvceerRyobn)f.ebIaafrsotzhelaertoeRr(baPlai˘smundeemestceburrmaaninendeKdH1eplcrmihnaacnni--, thoewnTcaheredtahpsetiecCaadll2ym-csetumartrbeernavtnaecluoNemsap,1oacnsuerndrtoeneostfcItosahcmmeilp.Voane2ntsdoCflIaamndil sc nels,thenatzerocurrentflowthroughthebasolateralmem- duringthesetimesareIbi 5V /Rbi ,sothatIamil5Ibi 1 Na a Na sc Na brane,E 5ud 1I R u(HelmanandThompson,1982), I .BecauseRbi ..R ,therapidinitialincreasesofIamil b K pump b Cl Na Cl sc whered istheNernstequilibriumpotentialdifferenceand must be due to I , with I relaxing to its steady-state K Cl Cl I isthecurrentgeneratedbytheNa,K-ATPase.Accord- value where chloride secretion is determined principally pump ingly, relatively fast decreases of R that occur before ap- by the rate of basolateral membrane Cl2 entry (see Ap- b preciablechangesofd orI wouldbeexpectedtocause pendix). If the basolateral membrane chloride entry were K pump increasesofE ,whichtogetherwithdecreasesofR would zero, then chloride must come to electrochemical equi- b b leadtostimulationofI .AlthoughdecreasesofR willlead librium at the apical membranes of the cells where at the sc b toincreasesofI ,E wouldbeexpectedtoincreaseifthe steadystateI 50orchloridesecretionwouldbeabsent sc cell Cl channels expressed at apical membranes were exclusively despite high values of apical membrane conductance to Na1 channels, as would be the case for tight epithelia like Cl2. TABLE 2 Electricalparametersofamiloride-pretreatedA6epitheliastimulatedbyPGE 2 Iamil R R Rfit Rfit R sc T p a b cell (mA/cm2) (kVzcm2) (kVzcm2) (kVzcm2) (kVzcm2) (kVzcm2) 16minafter 2.0160.09 3.5260.34 10.5361.64 1.4260.04 4.0260.27 5.4560.26 PGE 2 45minafter 1.9360.11 3.3960.36 9.3261.66 1.7060.04 3.9060.24 5.5960.24 PGE 2 Cfit Cfit Cfit ffit ffit gfit gfit a b eq a b a b (mF/cm2) (mF/cm2) (mF/cm2) (Hz) (Hz) 16minafter 1.3860.03 20.160.7 1.2960.03 81.262.1 2.060.12 0.8560.003 0.8960.008 PGE 2 45minafter 1.3960.03 20.260.8 1.3060.03 67.660.7 2.160.10 0.8660.004 0.9260.005 PGE 2 Valuesaremeans6SE(n55)andwhereapplicablearenormalizedtoplanarsurfacearea. BiophysicalJournal81(2)852–866 PGE -ActivatedEpithelialCl2Channels 861 2 FIGURE 9 ThechangesofimpedanceanditslocuscausedbyPGE aredependentonchloride.InA,gluconatereplacedallchlorideintheapicaland 2 basolateralsolutionsbathingatissuethathadalreadybeentreatedwithPGE andamiloride.Theeffectofchlorideremovalwascompletelyreversibleupon 2 returntothechloride-richsolution.TheimpedancevectorsinAnormalizedtothevaluesofZdc areshowninB.InCthetissuewastreatedwithPGE meas 2 whileitwasbathedwiththechloride-freegluconatesolution,causingaminusculechangeofimpedance.Exposuretothechloride-richsolutioncauseda typicalchangeofimpedanceanditslocus.ThenormalizedimpedancevectorsinCareshowninD. Depressed semicircles of impedance loci tissuescausedreversibledecreasesoftheIamilto0.4760.08 sc mA/cm2 from 1.75 6 0.08 mA/cm2 (n 5 5). The R and Because capacitance is frequency-dependent, it is expected T impedancelocuswereunchangedbyPGE whentissueswere that the impedance locus would consist of depressed semi- 2 bathed in chloride-free solution (Fig. 9 C). Subsequent expo- circles (Pa˘unescu and Helman, 2001). Nonlinear curve- sure to the chloride-rich solution resulted in a decrease of R fitting of the impedance vectors as indicated above yielded T and a change of the impedance locus (Fig. 9, C and D). meanpowerlawdependenciesg andg near0.85and0.90, a b Removal of chloride from tissues treated first with PGE respectively(Table2).Theabsolutevaluesofcapacitanceat 2 resulted in reversible increases of R and changes of the the apices of the depressed semicircles uC u and uC u aver- T a b impedancelocus(Fig.9A).Thesespecificchloride-dependent aged near 1.38 and 20.1 mF/cm2, respectively, in PGE - 2 changes of current, resistance, and impedance locus provide treated tissues. The frequencies at the apices averaged compelling evidence to support the view that PGE acting ;70–80 Hz for uC u and ;2.0 Hz for uC u (Table 2). 2 a b through cAMP activates a large chloride conductance at the apicalmembranesofthecellsthatprecedessignificantactiva- PGE -related changes of impedance in tion of apical membrane ENaCs, and hence the amiloride- amilo2ride–blocked tissues require Cl2 sensitiveapicalmembraneNa1 conductance.Thus,theR of a amiloride- and PGE -treated tissues can be equated with the 2 To ensure that PGE activated a chloride conductance in the 2 apicalmembraneresistancetochloride,R .Totheextentthat Cl tissues we studied, two experimental protocols were used to incontroltissuesPGE stimulatesNa1transportaboutthree- 2 test for chloride dependence of the PGE2-related changes of fold (Pa˘unescu and Helman, 1997; Pa˘unescu, 1999) to ;20 impedance in amiloride-pretreated tissues. In experiments il- mA/cm2,theamiloride-sensitiveNa1resistance,Rbs,wouldbe Na lustrated in Fig. 9, A and B, tissues bathed in chloride-rich ;5.6 kV z cm2 (112.5 mV/20 mA/cm2) or about three to solution were treated first with PGE and then exposed to a 2 fourfoldlargerthanR inPGE -treatedA6epithelia. Cl 2 chloride-freegluconatesolution.Intheexperimentsillustrated inFig.9,CandD,tissueswerebathedfirstwithchloride-free Time-dependent change of capacitance solution,treatedwithPGE intheabsenceofchloride,andthen 2 exposed to a chloride-rich solution. Regardless of the se- In the face of a frequency-dependent apical membrane quence, removal of chloride in the PGE -treated states of the capacitanceandchangesofresistance,wecouldnotrelyon 2 BiophysicalJournal81(2)852–866
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