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Circulation Research. 1997;80:708-719

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(Circulation Research. 1997;80:708-719.)
© 1997 American Heart Association, Inc.


Articles

Conductances and Selective Permeability of Connexin43 Gap Junction Channels Examined in Neonatal Rat Heart Cells

Virginijus Valiunas, Feliksas F. Bukauskas, , Robert Weingart

From the Department of Physiology (V.V., R.W.), University of Bern (Switzerland) and the Department of Physiology (F.F.B.), University of Rochester (NY).


*    Abstract
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*Abstract
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Abstract Myocytes from neonatal rat hearts were used to assess the conductive properties of gap junction channels by means of the dual voltage-clamp method. The experiments were carried out on three types (groups) of preparations: (1) induced cell pairs, (2) preformed cell pairs with few gap junction channels (1 to 3 channels), and (3) preformed cell pairs with many channels (100 to 200 channels) after treatment with uncoupling agents such as SKF-525A (75 µmol/L), heptanol (3 mmol/L), and arachidonic acid (100 µmol/L). In group 1, the first opening of a newly formed channel was slow (20 to 65 ms) and occurred 7 to 25 minutes after physical cell contact. The rate of channel insertion was 1.3 channels/min. Associated with a junctional voltage gradient (Vj), the channels revealed multiple conductances, a main open state [{gamma}j(main state)], several substates [{gamma}j(substates)], and a residual state [{gamma}j(residual state)]. On rare occasions, the channels closed completely. The same phenomena were observed in groups 2 and 3. The existence of {gamma}j(residual state) provides an explanation for the incomplete inactivation of the junctional current (Ij) at large values of Vj in cell pairs with many gap junction channels. The values of {gamma}j(main state) and {gamma}j(residual state) gained from groups 1, 2, and 3 turned out to be comparable and hence were pooled. The fit of the data to a Gaussian distribution revealed a narrow single peak for both conductances. The values of {gamma}j were dependent on the composition of the pipette solution. Solutions were as follows: (1) KCl solution, {gamma}j(main state)=96 pS and {gamma}j(residual state)=23 pS; (2) Cs+ aspartate- solution, {gamma}j(main state)=61 pS and {gamma}j(residual state)=12 pS; and (3) tetraethylammonium+ aspartate- solution, {gamma}j(main state)=19 pS and {gamma}j(residual state)=3 pS. The respective {gamma}j(main state)-to-{gamma}j(residual state) ratios were 4.2, 5.1, and 6.3. This indicates that the residual state restricts ion permeation more efficiently than does the main state. Transitions of Ij between open states (main open state, substates, and residual state) were fast (<2 ms), and transitions involving the closed state and an open state were slow (15 to 65 ms). This implies the existence of two gating mechanisms. The residual state may be regarded as the ground state of electrical gating controlled by Vj; the closed state, as the ground state of chemical gating.


Key Words: neonatal rat heart • single-channel conductance • gap junction • connexin43 • selective permeability


*    Introduction
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up arrowAbstract
*Introduction
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down arrowResults
down arrowDiscussion
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Electrical coupling between cardiac cells enables impulse propagation and hence is essential for a coordinated contraction of the heart. As in other syncytia, in cardiac tissues the functional cell-to-cell communication is mediated by gap junctions.1 It is well established that gap junctions of vertebrate tissues differ in molecular structure, physiological properties, such as sensitivity to voltage, second messengers, intracellular Ca2+, and H+, and pharmacological responses (for review, see Sáez et al2 ). Early studies performed on pairs of adult ventricular heart cells suggested that cardiac gap junctions are insensitive to Vj.3 4 5 6 However, more recent experiments with pairs of embryonic and neonatal heart cells have indicated that cardiac gap junctions are sensitive to large Vj gradients.7 8 9 10 At steady state, gj decreases with increasing Vj in a sigmoidal fashion without, however, declining to zero. Conceivably, in early experiments the Vj sensitivity was masked by series resistances located in the recording path and marginal Vj gradients.6 10

Gap junctions constitute assemblies of intercellular channels. Each channel consists of two hemichannels (connexons) composed of six transmembrane proteins (connexins). So far, six different connexins have been identified in vertebrate heart tissues encoded by a multigene family, Cx37, Cx40, Cx43, Cx45, Cx46, and Cx50.11 12 This opens the possibility that cardiac cells express different connexins and thereby form homotypic, heterotypic, and heteromeric channels.13 Hence, examination of primary heart cells renders it difficult to assess the biophysical properties of connexin-specific gap junctions and gap junction channels. The wide spectrum of published data on single-channel properties and gap junction properties may originate partially from the diversity of the channel structure.

Over the last decade, pairs of cells dispersed from hearts of different animal species and different developmental stages have been used to examine the properties of gap junction channels. In these preparations, gap junctions typically consisted of hundreds of channels. This situation often caused methodological problems and experimental limitations for electrophysiologists. For example, in order to resolve single-channel currents, the activity of most gap junction channels had to be suppressed by exposure to uncoupling agents, such as lipophilic substances.14 However, this approach may be challenged for several reasons: (1) The uncoupling agents might interfere with the processes under investigation. (2) The discrete current steps observed under these conditions are not easily ascribable to the functional states of a channel. A problem is that the basal current level and, hence, the resting state of a channel are not known. (3) During washout of lipophilic agents, the number of operational channels is variable. (4) Every other steplike increase in Ij may result from a different channel. This renders it difficult to examine the kinetic properties of single gap junction channels.

The aim of the present investigation has been to circumvent some of these difficulties. Adopting an alternative approach, we have reinvestigated the electrical properties of gap junction channels of neonatal rat heart cells, whose major gap junction protein is Cx43.15 The experiments were performed on induced cell pairs16 17 and preformed cell pairs using the dual voltage-clamp method. This approach permitted the following tasks: (1) examination of conductive properties of single channels in the absence of uncoupling agents, (2) comparison of single-channel data gained in the absence and presence of uncoupling agents, and (3) comparison of single-channel data with multichannel data. Preliminary results have been published previously.18


*    Materials and Methods
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*Materials and Methods
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Isolation of Cardiac Cells
Myocytes were isolated from neonatal rat hearts (2-day-old Wistar rats) by means of an enzymatic procedure.19 In brief, pieces of ventricular tissue were dissociated with trypsin (code 210234, Boehringer-Mannheim). The dispersed cells were suspended in culture medium (M199, GIBCO) containing 20 U/mL penicillin, 20 µg/mL streptomycin (code 2212, Seromed), 2 µg/mL vitamin B12 (code V-2876, Sigma Chemical Co), and 10% neonatal calf serum (Boehringer-Mannheim). The cell suspension was diluted to a density of 1x105 to 2x105 cells/mL. Aliquots of 1.5 mL were plated into multiwell culture dishes (22-mm diameter) containing glass coverslips. The cells were incubated at 37°C in a CO2 incubator (2% CO2/98% ambient air; the pH of the medium was 7.4). After 24 hours, the culture medium was replaced by another medium containing 5% serum. The cells were ready for use 6 hours after plating.

Solutions and Chemicals
Experiments were carried out in modified Krebs-Ringer solution (mmol/L): NaCl 150, KCl 4, CaCl2 2, MgCl2 1, CsCl 2, BaCl2 1, glucose 5, pyruvate 2, and HEPES 5 (pH 7.4). This solution was designed to minimize K+ currents across the cell membrane.19 Patch pipettes were filled with saline containing (mmol/L) Cs+ aspartate- 110, NaCl 10, TEA+ Cl- 10, MgCl2 1, CaCl2 1, HEPES 5 (pH 7.2), EGTA 10 (pCa {approx}8), and MgATP 3 filtered through 0.22-µm pores. In some experiments, Cs+ aspartate- was replaced by an equimolar amount of KCl or TEA+ aspartate-. The {Lambda} value was determined at 22°C using a laboratory conductivity meter (PW 9505, Philips).

Arachidonic acid (code A-9673, Sigma) was dissolved in hexane (10 mmol/L), aliquoted, and stored at -20°C. Before use, the solvent was removed under a stream of N2, and the dry substance was dispersed in Krebs-Ringer solution. Formation of fatty acid micelles was achieved by sonification at 35 kHz for 90 s. Heptanol (Fluka) and SKF-525A (code EI-105, Smith Kline & French; now commercially available as Proadifen, Biomed Research Laboratories) was directly added to the saline.

Electrical Measurements
Glass coverslips with adherent cells were transferred to the experimental chamber and superfused with modified Krebs-Ringer solution at room temperature (20°C to 24°C). The experimental chamber was mounted on the stage of an inverted microscope equipped with phase-contrast optics (Diaphot-TMD Nikon, Nippon Kogaku). Patch pipettes were pulled from glass capillaries (code GC150TF-10, Clark Electromedical Instruments) with a horizontal puller (DMZ-Universal, Zeitz-Instrumente). When filled with solution, the pipettes had direct current resistances of 3 to 6 M{Omega} (tip diameter, 1 to 2 µm). A video system (CCD camera, Panasonic WV-CD51/6, Matsushita Electric Industrial; monitor, JVC TM-916EM, Victor Co) allowed the optical supervision of the cells and pipettes during an experiment.

Two types of experiments have been performed. In one case, two single cells were brought into contact with two patch pipettes attached to separate amplifiers and pushed against each other to induce the formation of gap junction channels ("induced cell pair" approach16 ). In the other case, two pipettes were connected to the cells of a cell pair spontaneously formed in culture ("preformed cell pair" approach). In both configurations, the dual voltage-clamp method in conjunction with tight-seal whole-cell recording was used to control individually the membrane potential of the two cells and to measure separately the current flow through both pipettes.6 Initially, the membrane potential of both cells (cell 1 and cell 2) was clamped to the same voltage, usually {approx}-45 mV (V1=V2). Thereafter, the membrane potential of one of the cells was changed to establish a junctional voltage gradient, Vj=V2-V1. In the case of two separate cells, the currents measured with pipettes 1 and 2 correspond to current flow through the membrane of cell 1 and cell 2 (I1 and I2), respectively. In case of a cell pair, a coupling current, Ij, of identical amplitude but opposite polarity is superimposed on I1 and I2.

Voltage and current signals were recorded on videotape after pulse code modulation (Neurocorder DR-886, Neuro Data Instruments) and on a chart recorder (Gould RS 3400, Gould Instruments). For later analysis, the signals were filtered at 1 kHz (eight-pole Bessel, -3 dB), digitized at 3.33 kHz with a 12-bit A/D converter (IDA 12120, Indec Systems), and transferred to a personal computer. Data acquisition and signal analysis were performed using the software C-Lab (Indec Systems). The results are presented as mean±1 SEM. Curve fitting and statistical analysis was done with the software SigmaPlot and SigmaStat, respectively (Jandel Scientific).


*    Results
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*Results
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Formation of Gap Junctions
In order to examine the de novo formation of gap junction channels, two separate myocytes in proximity were selected visually. Each cell was connected to a patch pipette to form a gigaohm seal. After disruption of the membrane patches, the whole-cell recording mode was established. The membrane potential of cell 1 (V1) and cell 2 (V2) was clamped to different levels to create a sustained voltage gradient (Vj=V2-V1) across the presumptive junctional membrane area. Thereafter, the cells were maneuvered against each other to establish a physical membrane-to-membrane contact. This was achieved by gentle displacement of the patch pipettes via micromanipulators. Fig 1ADown illustrates a successful example of gap junction formation. It shows the time course of channel insertion plotting gj (Ij/Vj) versus time. Early during the experiment, a sustained Vj was present. Later on, Vj gradients were induced by repetitive application of voltage pulses to cell 1 (amplitude, 50 mV; duration, 200 ms; and frequency, 1 Hz). Physical contact between the cells was established at t=0 minutes. The first opening of the first channel inserted occurred at t=21 minutes. Thereafter, channel formation continued. At t=33 minutes, this process seemingly came to a halt.



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Figure 1. De novo formation of gap junction between two adjacent cells. A, Plot of gj versus time. Time 0 indicates the moment of physical contact between the cells. The first sign of channel activity was detectable 21 minutes later. Because of the loss of a gigaohm seal, the experiment ended abruptly after 33 minutes. B, Time course of channel insertion. Circles and bars represent mean±1 SEM of four experiments. Conductances were averaged by pooling measurements over successive 1-minute intervals. Time 0 corresponds to the moment of first channel opening. The dashed line emphasizes the 0 gj level.

Using this procedure, we found successful formation of gap junction channels in 6 of 108 preparations (success rate, <6%). In 54 experiments, the cells remained in physical contact for >20 minutes; in 17 experiments, for >40 minutes. Yet, no sign of Ij was detectable. This is consistent with the low incidence of electrical coupling in spontaneously formed cell pairs in fresh cultures. For example, 6 hours after plating, {approx}50% of the cell pairs examined showed no electrical coupling. In the experiments with successful gap junction formation, the time to first channel opening ranged from 7 to 22 minutes (average delay, 18.4±2.6 minutes). The speed of subsequent channel insertion was also variable. For example, 12 minutes after the first channel insertion, 11 to 14 channels were operational in the most advanced case, but only one channel was operational in the least developed case.

Fig 1BUp summarizes the results from four prominent coupling experiments. Two preparations with only one or two channels inserted have not been included in this analysis. Values of gj were determined every minute, averaged, and plotted versus time after first channel opening (t=0 minutes). Hence, the resulting plot emphasizes the process of gap junction formation. It shows that gj increased with time in a sigmoidal manner, suggesting that channel insertion is a cooperative process. After 11 minutes, gj reached an apparent plateau at 0.73±0.07 nS. The maximal rate of channel insertion was determined as {approx}1.3 channels/min16 (assumption: {gamma}j(main state)=61 pS; see "Comparison of Single-Channel Conductances").

Two kinds of factors may be responsible for the low rate of success in detecting de novo formation of gap junctions (<6%; see above): (1) methodological difficulties and (2) biological constraints. With respect to factor 1, random drift of the micromanipulators can lead to the loss of a gigaohm seal and hence to an early end of an experiment. Also, mechanical instability can alter continuously the contact area between the cells. Conceivably, this renders it difficult for connexons to dock with each other. With respect to factor 2, formation of gap junctions could depend on specific cellular requirements. However, none of the parameters considered turned out to be severely critical: (1) temperature (20°C to 35°C), (2) [Ca2+]o (0 to 5 mmol/L), (3) [Ca2+]i (18 to 240 nmol/L), (4) cAMP (0 to 6 mmol/L), (5) enzymes used to isolate the myocytes (trypsin, collagenase), (6) cell substratum (glass, collagen), and (7) time interval between cell dispersion and experiments (6 to 48 hours). This suggests that the density of connexons in the cell membrane is scarce and/or the fluidity of the membrane lipids is low.

Recruitment of Newly Formed Gap Junction Channels
Fig 2Down illustrates the formation and subsequent operation of a new gap junction channel. The signals were recorded from an induced cell pair during insertion of the first channel. Traces I1 and I2 represent the currents recorded from cells 1 and 2, respectively, driven by a sustained voltage gradient, Vj=-70 mV (V1=-2 mV, V2=-72 mV). Synchronous deflections in I1 and I2, comparable in amplitude and of opposite polarity, indicate the operation of a gap junction channel. The first transition (upward deflection in I1, downward deflection in I2) was slow ({approx}65 ms) and reflects the first opening of the newly formed channel. I1 and I2 eventually settled for a stable level corresponding to current flow through the fully open channel. The subsequent current transitions were fast (<2 ms) and resulted from Vj-dependent channel gating. During this mode of activity, I1 and I2 did not return to the reference level (solid lines). Instead, the currents fluctuated between two discrete levels corresponding to the fully open state and the residual state (dashed lines). The latter is attributable to incomplete channel closure. An analysis of the discrete current levels revealed the following {gamma}j values: {gamma}j(main state)=67 pS and {gamma}j(residual state)=13 pS. Insertion of additional channels in this preparation yielded the same phenomena (data not shown). The same behavior of Ij was observed in all preparations with induced channel formation. Therefore, the sequence of events ("slow channel opening, followed by fast channel flickering") provides a phenomenological pattern to identify the recruitment of new channels.



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Figure 2. Initial activity of a newly formed gap junction channel. Paired current records were obtained from an induced cell pair (cell 1, I1; cell 2, I2), evoked by a maintained Vj of -70 mV (V1=-2 mV and V2=-72 mV, traces not shown). The very first channel opening (upward deflection in I1, downward deflection in I2) was slow and reflects recruitment of a new channel. Subsequent closings and openings were fast and are related to voltage-gated channel operation. Note that the channel did not close completely again. Solid lines indicate zero coupling current; dashed lines, residual current level. {gamma}j(main state) was 67 pS; {gamma}j(residual state), 13 pS.

Single-Channel Events Examined in Preformed Cell Pairs
The results presented so far demonstrate that induced cell pairs are useful to elucidate the current flow through single Cx43 channels. This approach enabled us to identify unambiguously the existence of two discrete conductance states, {gamma}j(main state) and {gamma}j(residual state). However, the low success rate (see "Formation of Gap Junctions") renders this method impractical for routine examinations of gap junction channels in neonatal rat heart cells. For example, not enough data were available to carry out quantitative analyses of single-channel conductances. Hence, we resorted to experiments on preformed cell pairs. The rationale was as follows: The studies with induced cell pairs led to further insight into the operation of gap junction channels, with respect to channel transitions and conductance levels in particular.16 17 With this knowledge at hand, we set out to analyze Ij signals from preformed cell pairs in a more objective way.

In two cases of preformed cell pairs, the gap junctions consisted of few channels, ie, one to three. Hence, they allowed the identification of single-channel events without pharmacological interventions. In these cases, the following pulse protocol was adopted. Starting from a common holding potential (V1=V2=-45 mV), a voltage pulse was administered repetitively (25 to 100 mV, 200 ms, 1 Hz) to one of the cells to establish a Vj gradient. The associated Ij signals invariably exhibited fast transitions between two discrete levels attributable to {gamma}j(main state) and {gamma}j(residual state) (data not shown).

In the other group of preformed cell pairs (n=7), the gap junctions consisted of many channels, ie, 100 to 200. To visualize single-channel events, the preparations were superfused with an uncoupling agent to fully block the intercellular current flow. For this purpose, we used lipophilic substances, such as heptanol, a long-chain alkanol,5 20 arachidonic acid, an unsaturated fatty acid,19 or SKF-525A, a blocker of cytochrome P-450 enzymes.21 Thereafter, the uncoupling agent was washed out slowly. During the resulting recovery, previously blocked channels became active one after another. The pattern "slow opening, followed by fast flickering" (see "Recruitment of Newly Formed Gap Junction Channels") was used to monitor the reactivation of channels and to identify discrete current levels. As soon as more than two channels were involved, the uncoupling agent was administered again.

Fig 3Down illustrates the procedure of transient chemical uncoupling. The holding potential of cell 1 and cell 2 was set to -45 mV, and depolarizing test pulses were administered to cell 2 (25 mV, 200 ms, 1 Hz; traces V1 and V2) to evoke Ij flow (trace I1). Application of 75 µmol/L SKF-525A led to a gradual decrease of Ij. During this process, the gain of I1 was increased 10-fold to resolve single-channel events (dashed vertical line). After complete disappearance of Ij signals, the SKF-525A was slowly washed out (see arrows). At the same time, the test pulses were ceased, and V2 was depolarized to 0 mV to establish a sustained Vj gradient of 45 mV. After a short delay (dashed horizontal lines), single-channel events became apparent (trace I1).



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Figure 3. Single-channel activity in a preformed cell pair elucidated by the uncoupling agent SKF-525A. On the left, exposure to 75 µmol/L SKF-525A led to a progressive decrease in Ij. On the right, removal of SKF-525A provoked sequential recruitment of blocked channels. Cell 1 and cell 2 were voltage-clamped to -45 mV (V1 and V2, respectively); test pulses were applied repetitively to cell 2 (25 mV, 200 ms, 1 Hz) to evoke a Vj (upward deflections in V2) and hence an Ij (downward deflections in I1). Dashed vertical line indicates increase in I1 gain (10-fold); arrows, washout of SKF-525A, end of test pulse protocol, and depolarization of cell 2 to 0 mV to establish a sustained Vj of 45 mV. After a delay of about a minute (dashed horizontal lines), single-channel events were apparent (I1).

Fig 4Down shows current records obtained early during washout of SKF-525A. In this case, Vj was maintained at -60 mV (V1=12 mV and V2=-48 mV). The paired records in the upper panel document the first channel reopening (left side) and reclosure (right side); ie, I1 and I2 started from the zero current level (solid lines) and ended at this level after {approx}3 s. In between these events, I1 and I2 were jumping between two discrete levels corresponding to the fully open state of the channel and the residual state (dashed lines). The current records in the lower panel repeat the early and late episodes of I1 and I2 at an expanded time scale. They demonstrate that the channel reopening and reclosure involved slow transitions ({approx}25 ms) between the completely closed state and the fully open state, whereas regular flickering involved fast transitions (<2 ms) between the fully open state and the residual state. Therefore, reopening of a channel after chemical uncoupling resembled the first opening of a newly formed channel (see Fig 2Up). The analysis of the current records in Fig 4Down yielded conductances of 68 and 13 pS for {gamma}j(main state) and {gamma}j(residual state), respectively.



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Figure 4. Recruitment of a gap junction channel previously blocked by exposure to 75 µmol/L SKF-525A. Top, Sister current records (I1 and I2) documenting the activity of a newly recruited channel. After reopening, the channel flickered between the fully open state and residual state. Later on, it closed completely again. Bottom, Segments of I1 and I2 displayed at expanded time scale. Transitions between the closed state and main open state were slow ({approx}25 ms); those between the main open state and residual state were fast (<2 ms). Solid lines indicate zero current level; dashed lines, residual current level. Vj was -60 mV (V1=12 mV and V2=-48 mV); {gamma}j(main state), 68 pS; and {gamma}j(residual state), 13 pS. In the top panel, signal filtering was at 0.5 kHz.

After recovery of the first channel, in some experiments the protocol with a maintained Vj gradient was replaced by Vj pulses. Fig 5Down illustrates records obtained in this way. V1 and V2 were clamped to the same level, ie, -45 mV. Thereafter, a hyperpolarizing pulse was administered periodically to cell 2 (100 mV, 200 ms, 1 Hz) to establish a Vj gradient (trace V2). The voltage pulse was accompanied by regular channel gating with fast transitions (trace I1). The current fluctuated between two levels corresponding to the fully open state, {gamma}j(main state), and the partially closed state, {gamma}j(residual state) (dashed line). During the voltage pulse, I1 did not return to the zero current level (solid line) but promptly did so when the driving force was reduced to zero at the end of the pulse.



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Figure 5. Single-channel activity in a preformed cell pair revealed by application of Vj pulses. Starting from a common holding potential (V1=V2=-45 mV), cell 2 was hyperpolarized (100 mV, 200 ms) to evoke a Vj. This led to Ij flickering between two discrete levels corresponding to the main open state and residual state. Records were taken during washout of 75 µmol/L SKF-525A, shortly after recruitment of the first channel. Solid line in I1 indicates zero coupling current; dashed line, residual current level. {gamma}j(main state) was 66 pS; {gamma}j(residual state), 14 pS.

Fig 6Down documents the sequential activation of gap junction channels in another preparation observed during washout of SKF-525A. Vj was maintained at -60 mV (V1=12 mV and V2=-48 mV). Reopening of a first channel provoked two discrete current levels in I1 and I2, reflecting the fully open state and the residual state. Reopening of a second channel (see arrows) gave rise to three additional current levels corresponding to 2·{gamma}j(main state), {gamma}j(main state)+{gamma}j(residual state), and 2·{gamma}j(residual state). Hence, in the presence of two operational channels (n=2), the total residual conductance of the preparation was N·{gamma}j(residual state), ie, 2·12 pS=24 pS (see dashed lines).



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Figure 6. Sequential recruitment of channels reveals the existence of residual states. Current records (I1 and I2) were obtained from a preformed cell pair previously treated with 75 µmol/L SKF-525A. Arrows mark incidence of second channel reopening during a maintained Vj of -60 mV (V1=12 mV and V2=-48 mV, traces not shown). Prevailing current levels in the presence of one channel were Ij(main state) and Ij(residual state); in the presence of two channels, 2·Ij(main state), Ij(main state)+Ij(residual state), and 2·Ij(residual state). Solid lines indicate zero coupling current; dashed lines, residual current levels corresponding to Ij(residual state) and 2·Ij(residual state). {gamma}j(main state) was 65 pS; {gamma}j(residual state), 12 pS.

Ij records collected late during washin of SKF-525A revealed a sequence of events mirroring those depicted in Figs 3Up and 4Up. Specifically, the closure of the last channel involved a slow transition starting at the main open state and ending at the closed state (data not shown). However, for practical purposes, the results presented in the present study were gained from washout periods.

Comparison of Single-Channel Conductances
The single-channel records gained from (1) induced cell pairs, (2) preformed cell pairs with weak coupling, and (3) preformed cell pairs with strong coupling (after treatment with SKF-525A) were analyzed separately. The following values were obtained: (1) {gamma}j(main state)=62.3±0.6 pS (n=45, three cell pairs) and {gamma}j(residual state)=12.6±0.4 pS (n=19), (2) {gamma}j(main state)=61.0±0.7 pS (n=31, two cell pairs) and {gamma}j(residual state)=11.7±0.3 pS (n=21), and (3) {gamma}j(main state)=60.5±0.5 pS (n=181, seven cell pairs) and {gamma}j(residual state)=11.9±0.2 pS (n=103). Statistical analysis revealed no significant differences for either {gamma}j(main state) or {gamma}j(residual state) between group 1 and group 2 (by Student's t test, P<.17 and .07) or groups 1+3 and group 3 (P<.09 and .43), respectively. This indicates that SKF-525A does not affect the single-channel conductances. Hence, the data from the three experimental groups were combined and sampled in 2-pS bins for further analysis (see "Selective Permeability of Single Channels").

Selective Permeability of Single Channels
The experiments presented so far were carried out with a pipette solution containing Cs+ aspartate- as a major charge carrier (see "Solutions and Chemicals"). In the experiments to be described next, we used pipette solutions containing KCl or TEA+ aspartate- instead. Fig 7Down illustrates appropriate records gained from preformed cell pairs during washout of SKF-525A. Application of voltage pulses to cell 2 (traces V2) led to current signals with two distinct levels attributable to the fully open state and the residual state (traces I1). In the presence of KCl (pipette) solution, {gamma}j(main state) and {gamma}j(residual state) turned out to be 96 pS and 25 pS, respectively (top current record, Vj=-90 mV). In the presence of TEA+ aspartate- (pipette) solution, the respective conductances were 20 and 3 pS (bottom current record, Vj=-100 mV). Hence, both {gamma}j values decreased drastically with increasing size of the major charge carriers. For comparison, in the case of Cs+ aspartate- (pipette) solution, the conductances were 61 and 12 pS, respectively (middle current record, Vj=-75 mV). Ijs recorded in the presence of TEA+ aspartate- (pipette) solution often showed a critical signal-to-noise ratio. In these cases, segments of current traces were analyzed using an all-point procedure. Application of this method to the I1 signal in Fig 7Down, bottom trace, revealed that the residual current level is significantly different from the reference current level (P<.001).



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Figure 7. Single-channel currents determined with pipette solutions of different ionic composition. Preformed cell pairs are shown during washout of 75 µmol/L SKF-525A. Top, Pipette solution containing KCl as major charge carrier, with Vj=-90 mV (V1=5 mV and V2=-85 mV), {gamma}j(main state)=96 pS, and {gamma}j(residual state)=25 pS. Middle, Pipette solution containing Cs+ aspartate- as major charge carrier, with Vj=-75 mV (V1=-45 mV and V2=-120 mV), {gamma}j(main state)=62 pS, and {gamma}j(residual state)=12 pS. Bottom, Pipette solution containing TEA+ aspartate- as major charge carrier, with Vj=-100 mV (V1=-45 mV and V2=-145 mV), {gamma}j(main state)=20 pS, and {gamma}j(residual state)=3 pS. Note that these I1 signals were filtered at 333 Hz.

The single-channel currents determined in the presence of KCl, Cs+ aspartate-, and TEA+ aspartate- (pipette) solution were used to calculate {gamma}j. The values of {gamma}j(main state) and {gamma}j(residual state) collected were sampled in 2- and 1-pS bins, respectively. Fig 8Down summarizes the resulting frequency histograms. The {gamma}j(main state) and {gamma}j(residual state) data gave rise to the distributions on the right side and left side, respectively. Each data group described a binomial distribution and thus was fitted with a Gaussian distribution. The smooth curves correspond to the best fit of the data using a nonlinear least-squares algorithm. For the KCl (pipette) solution (Fig 8ADown), the mean values of {gamma}j(main state) and {gamma}j(residual state) were 95.6±0.5 pS (n=273, 10 preparations) and 22.7±0.2 pS (n=161, 10 preparations), respectively. For the Cs+ aspartate- (pipette) solution (Fig 8BDown), {gamma}j(main state) and {gamma}j(residual state) were 60.8±0.4 pS (n=257, 12 preparations) and 12.0±0.1 pS (n=143), respectively. For the TEA+ aspartate- (pipette) solution (Fig 8CDown), {gamma}j(main state) and {gamma}j(residual state) were 18.7±0.2 pS (n=169, three preparations) and 2.9±0.1 pS (n=42, three preparations), respectively.



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Figure 8. Frequency histograms of single-channel conductance, {gamma}j, determined in the presence of different pipette solutions. Distributions on the left correspond to {gamma}j(residual state); on the right, to {gamma}j(main state). The smooth curves represent the Gaussian best fit to the distributions. A, KCl (pipette) solution: {gamma}j(residual state)=22.7±0.23 pS (n=161, 9 preparations) and {gamma}j(main state)=95.6±0.48 pS (n=273, 10 preparations). B, Cs+ aspartate- (pipette) solution: {gamma}j(residual state)=12.0±0.13 pS (n=143, 12 preparations) and {gamma}j(main state)=60.8±0.36 pS (n=257, 12 preparations). C, TEA+ aspartate- (pipette) solution: {gamma}j(residual state)=2.9±0.09 pS (n=42, 3 preparations) and {gamma}j(main state)=18.7±0.17 pS (n=169, 3 preparations).

A comparison of the {gamma}j(main state) data and {gamma}j(residual state) data allows some insight into the process of ion permeation through Cx43 channels. For example, the values of both {gamma}j(main state) and {gamma}j(residual state) decrease with increasing molecular mass of the monovalent ionic charge carriers involved. This may reflect a decrease of the ionic mobility in aqueous solution with increasing ionic size or a discrimination brought about by the structure of the channel pore. In addition, considering the mean conductance values, it turns out that the ratio of {gamma}j(main state) to {gamma}j(residual state) is not constant. It decreases from 4.2 to 5.1 and 6.3 for the pipette solutions containing KCl, Cs+ aspartate-, and TEA+ aspartate-, respectively. This suggests that the residual state exerts a more prominent restriction to ion permeation than does the fully open state.

To test this hypothesis, we performed statistical analyses with limited data. The global data sets were reduced to cases where {gamma}j(main state) and {gamma}j(residual state) were identifiable as consecutive channel events. Numeric analyses yielded the following values for the {gamma}j(main state)-to-{gamma}j(residual state) ratio: KCl solution (n=75), 4.14±0.04; Cs+ aspartate- (n=38), 5.12±0.03; and TEA+ aspartate- (n=25), 6.51±0.11. Test analysis revealed that these ratios are significantly different from each other (by Kruskal-Wallis ANOVA, P<.0001). This allows the conclusion that the residual state restricts ion permeation more efficiently than does the main state.

Fig 9Down shows a plot of the single-channel conductance ({gamma}j) versus conductivity of the pipette solution ({Lambda}). The values of {gamma}j(main state) and {gamma}j(residual state) were taken from Fig 8Up; the values of {Lambda} for the different pipette solutions have been determined with a conductivity meter and were as follows (22°C): KCl, 12.3 mS/cm; Cs+ aspartate-, 8.3 mS/cm; and TEA+ aspartate-, 4.7 mS/cm. In order to construct the graph, the values of {gamma}j and {Lambda} were normalized relative to those of the KCl (pipette) solution. The filled circles and open circles correspond to the {gamma}j(main state) and {gamma}j(residual state) data, respectively. The dashed line represents the function {Lambda}=m·{gamma}j, where m indicates slope (m=1). It assumes that the ionic mobilities in the channel pore and in aqueous solution are the same. However, the graph shows that this is not the case. The relationships {Lambda}=f[{gamma}j(main state)] and {Lambda}=f[{gamma}j(residual state)] both exhibit a slope >1. This implies that the ions experience a restriction during the passage through the channels in both the Cs+ aspartate- and TEA+ aspartate- solutions. The graph also shows that the restriction is more pronounced for {gamma}j(residual state) than for {gamma}j(main state). This suggests that the transition from the fully open state to the residual state is accompanied by an increase of the ability of the channel to discriminate between ions.



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Figure 9. Selective permeability of single channels. Plot of single-channel conductance ({gamma}j) versus conductivity of pipette solution ({Lambda}) is shown. Values of {gamma}j and {Lambda} were normalized with respect to those of KCl (pipette) solution. {bullet} indicates mean values of {gamma}j(main state) data; {circ}, mean values of {gamma}j(residual state) data. Bars reflecting ±1 SEM fell within the circles and hence were omitted. Dashed line indicates identical ionic mobilities in the channel pore and in the aqueous solution.

Single Channels Exhibit Multiple Conductance States
Some single-channel records revealed additional conductance states between {gamma}j(main state) and {gamma}j(residual state). To examine these events, we used the KCl (pipette) solution because it promises the largest {gamma}j readings (see "Selective Permeability of Single Channels"). Fig 10Down shows two representative examples obtained from preformed cell pairs early during washout of SKF-525A, ie, when a single channel was operational (see "Single-Channel Events Examined in Preformed Cell Pairs"). In Fig 10ADown, Vj was maintained at 50 mV (V1=-45 mV and V2=5 mV). The associated records I1 and I2 revealed three discrete levels. Since the signals were symmetrical, the transitions reflect gap junctional events (transition times, <2 ms). Hence, the three current levels reflect the main open state (dotted lines), a substate (short dashes), and the residual state (long dashes). The analysis revealed the following conductances: {gamma}j(main state)=93 pS, {gamma}j(substate)=36 pS, and {gamma}j(residual state)=22 pS. Thus, the step between {gamma}j(substate) and {gamma}j(residual state) was 14 pS. Note that I1 and I2 did not return to the reference level (solid lines); ie, the channel failed to close completely. In Fig 10BDown, a hyperpolarizing pulse was applied to cell 2 to set Vj to -75 mV (V1=-45 mV and V2=-120 mV). As a consequence, the channel exhibited fast transitions (<2 ms) involving three discrete current levels (see trace I1). The levels correspond to {gamma}j(main state) of 100 pS (dotted line), {gamma}j(substate) of 33 pS (short dashes), and {gamma}j(residual state) of 22 pS (long dashes). Hence, the difference between {gamma}j(substate) and {gamma}j(residual state) was 11 pS. Again, I1 (and I2, not shown) failed to return to the reference current level during the Vj pulse (solid line).



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Figure 10. Evidence for subconductance states. A, Establishment of a maintained Vj of 50 mV (V1=-45 mV and V2=5 mV, not shown) provoked an Ij (downward deflections in I1, upward deflections in I2) with three distinct levels corresponding to the main open state (dotted lines), a substate (short dashes), and the residual state (long dashes). {gamma}j(main state) was 93 pS; {gamma}j(substate), 36 pS; and {gamma}j(residual state), 22 pS. B, Application of a voltage pulse to cell 2 led to a Vj of -75 mV (V1=-45 mV and V2=-120 mV) and an Ij with three different current levels (I1). {gamma}j(main state) was 100 pS; {gamma}j(substate), 33 pS; and {gamma}j(residual state), 22 pS.

When compared with the main open state and residual state, substates were observed less frequently. They were seen preferentially in conjunction with short Vj pulses of large amplitude (200 ms, >75 mV) and with long Vj pulses of intermediate amplitude (>1 s, {approx}50 mV). Occasionally, as many as three different substates were discernible in a given record. As a rule, the current steps involving substates corresponded to conductances equivalent to 1/9 to 1/7 of {gamma}j(main state).

Fast Versus Slow Channel Transitions
As already mentioned (see "Recruitment of Newly Formed Gap Junction Channels"), Cx43 channels operate in two different modes. The modes can be distinguished based on the speed of Ij transitions. Fast transitions were complete within the response time of the experimental setup, ie, <2 ms, whereas slow transitions lasted 15 to 65 ms. For example, associated with the first opening of a newly formed channel, Ij underwent a slow transition from the closed state to the main open state (see Fig 2Up). The slow transition was followed by episodes of fast transitions between the main open state, the substates, and the residual state. Fast transitions did not involve the closed state. Likewise, slow transitions were seen in conjunction with the reopening of a channel previously blocked by lipophilic agents, such as heptanol, arachidonic acid, and SKF-525A (see Fig 4Up). Again, the slow transition was followed by trains of fast transitions involving the main open state, the substates, and the residual state. The inverse sequence of events was observed during pharmacological uncoupling. A manifestation of this phenomenon is also visible in Fig 4Up. After a series of fast transitions, Ij exhibited a slow transition from the residual state to the closed state.

Fig 11Down illustrates that slow transitions occurred not only between the closed state and the main open state but between other states as well. It shows records gained from a preformed cell pair during removal of SKF-525A. V1 and V2 were held at 5 and -70 mV, respectively, to establish a sustained Vj of -75 mV (traces not shown). The signals I1 and I2 show an episode starting with a first channel reopening; ie, both current traces underwent a slow transition ({approx}15 ms) between the zero current level (solid lines) and a level corresponding to the main open state. After a few milliseconds, I1 and I2 exhibited a fast transition (<2 ms) to the residual state (dashed lines). About 2.5 s later, I1 and I2 slowly declined to the zero level (transition time, {approx}35 ms). Shortly thereafter, the currents slowly returned to the residual level (transition time, {approx}55 ms). Slow transitions have also been seen between the main open state and closed state.



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Figure 11. Comparison of fast and slow channel transitions. Current records (I1 and I2) were evoked by a maintained Vj of -75 mV (V1=5 mV and V2=-70 mV, traces not shown), gained from a preformed cell pair during washout of 75 µmol/L SKF-525A. The single-channel activity started with a reopening event. Fast transitions (<2 ms) occurred between the main open state and the residual state; slow transitions (15 to 55 ms), between the closed state and the main open state or residual state. Solid lines indicate zero current level; dashed lines, residual current level. Values for KCl (pipette) solution were as follows: {gamma}j(main state)=87 pS and {gamma}j(residual state)=20 pS.

These results indicate that transitions between {gamma}j(residual) and {gamma}j(main state) usually are fast (<2 ms) and transitions involving the closed state are slow (15 to 65 ms). Conceivably, fast events reflect biophysical channel gating governed by Vj, whereas the slow transitions reflect chemical gating controlled by uncoupling agents or insertion/degradation of channels.

Relationship Between gj and Vj
Using preformed cell pairs, we have also examined the dependency of gj on Vj in the presence of different pipette solutions. To carry out these experiments, Vj gradients of long duration (5 to 40 s), variable amplitude (up to 130 mV), and either polarity were administered to one of the cells, and Ij values were recorded from the other cell. Fig 12ADown shows original records (V2, I1) obtained with the KCl (pipette) solution at a Vj of -110 mV (V1=-40 mV and V2=-150 mV). Typical for this condition, Ij showed a time-dependent decay. For analysis, the amplitude of Ij was determined at the beginning [Ij(inst)] and end [Ij(ss)] of each Vj pulse to calculate the conductances gj(inst)=Ij(inst)/Vj and gj(ss)=Ij(ss)/Vj. The values of gj(ss) were then normalized with respect to gj(inst) and plotted versus Vj. The graph in Fig 12BDown summarizes the results obtained for pipette solution containing KCl (filled circles) and TEA+ aspartate- (open circles). For clarity, only half the data sets have been depicted (negative Vj values, KCl solution; positive Vj values, TEA+ aspartate- solution). The smooth curves represent the best fits of the data to the Boltzmann equation, assuming that each channel contains two symmetrical gates in series: gj([1-gj(min)]/{1+exp[A(Vj–Vj,(0))]}+gj(min)), where gj(min) is the normalized conductance at large Vj, and Vj,(0) corresponds to Vj at which gj is half-maximally inactivated. A is the maximal steepness of the relationship and expresses the gating charge, zq(kT)-1, where z is the equivalent number of unitary positive charges (q) moving through the entire electric field applied, and k and T represent Boltzmann's constant and temperature in degrees kelvin, respectively. The analysis yielded the following parameters: for the KCl solution, Vj,(0)=-51.5 mV/51.2 mV, gj(min)=0.28/0.25, and z=3.1/2.9; for the TEA+ aspartate- solution, Vj,0=-59.5 mV/59.0 mV, gj(min)=0.15/0.16, and z=2.0/2.3 (for negative/positive values of Vj). Therefore, in the case of both pipette solutions examined, the data yielded a bell-shaped relationship that was nearly symmetrical. Interestingly, gj(min) and z were smaller with TEA+ aspartate- solution. In the two groups of cell pairs, the average gj(inst) was 1.96±0.7 nS (four cell preparations) and 1.78±0.7 nS (seven preparations), respectively.



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Figure 12. Dependence of gj on Vj. A, Pulse protocol giving rise to a Vj of -110 mV (V1=-40 mV and V2=-150 mV) and associated Ij, exhibiting a time-dependent decay (I2), determined with KCl (pipette) solution. B, Relationships between gj at steady state, gj(ss), and Vj. {bullet} indicates KCl (pipette) solution (four cell pairs); {circ}, TEA+ aspartate- (pipette) solution (seven cell pairs). Each symbol corresponds to a single determination. The smooth curves represent the fitted Boltzmann equation using the following parameters: for the KCl (pipette) solution, Vj(0)=-51 mV/51 mV, gj(min)=0.28/0.25, and z=3.1/2.9 for negative/positive values of Vj; for the TEA+ aspartate- (pipette) solution, Vj(0)=-59 mV/59 mV, gj(min)=0.15/0.16, and z=2.0/2.3.


*    Discussion
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up arrowAbstract
up arrowIntroduction
up arrowMaterials and Methods
up arrowResults
*Discussion
down arrowReferences
 
The present study presents evidence that Cx43 gap junction channels possess various conductance states: a main open state, several substates, a residual state, and a closed state. The data offer an explanation for the incomplete decline of gj at large Vj values. In this respect, Cx43 channels resemble the channels of other vertebrate or invertebrate gap junctions.16 17 22 The underlying experiments involved application of Vj gradients, use of lipophilic uncoupling agents, and substitution of pipette solutions.

De Novo Formation of Gap Junction Channels
It has been suggested that precursors of gap junction channels are present as hemichannels in cell membranes. Evidence supporting this view emerged from electrophysiological studies. For example, expression of bovine Cx44, rat Cx46, or chicken Cx56 in Xenopus oocytes induced voltage-gated currents attributable to connexons.23 24 25 Pharmacological interventions imposed on differentiated cells led to similar results.26 27 Hence, the formation of gap junction channels is expected to occur by docking of hemichannels of adjacent cells. Our data on induced pairs of neonatal rat heart cells are consistent with this view.

Two single myocytes, when brought into physical contact, showed first signs of channel formation within 7 to 25 minutes. For the same type of cells, Rook et al7 previously reported a delay of 5 to 15 minutes. For comparison, pairing transfected HeLa cells expressing Cx4017 and parental insect cells (for references, see Bukauskas and Weingart16 ) revealed a delay of 28 to 45 minutes and <5 minutes, respectively. Various factors can be responsible for the diversity in delay, eg, differences in the number of hemichannels per unit membrane area or differences in the fluidity of cell membranes. However, the involvement of cell adhesion molecules or cellular signal transduction cannot be excluded.

In neonatal rat heart cells, the maximal rate of channel insertion was 1.3 channels/min. This value sets an upper limit for the turnover rate of Cx43 channels. Pairs of these cells contain {approx}460 gap junction channels [gj=28 nS, Reference 1010 ; {gamma}j(main state)=61 pS, the present study]. Considering a half-life for Cx43 channels of {approx}3 hours (assessment of gj by L. Firek and R. Weingart, unpublished data, 1992), this amounts to a turnover rate of 1.3 channels/min. For comparison, studies with insect cells revealed maximal insertion rates of 2.5 channels/min (for C6/3616 ) and 60 channels/min (for hemocytes28 ). Interestingly, pulse-chase labeling yielded a half-life of 1.9 hours for Cx43 in neonatal rat myocytes.15

Resolving Single-Channel Data From Preformed Cell Pairs
The method of induced pairs was useful to elucidate the properties of Cx43 channels in neonatal rat heart cells. However, the experiments with successful channel formation were rather scarce (<6%). Therefore, this approach is not suited as a routine method for these cells. Conceivably, this may be true for primary dispersed cells in general. The use of weakly coupled pairs spontaneously formed in culture offered an alternative. Screening cell cultures at different times after plating (up to 8 hours), we found abundant pairs with no channels or many channels but only two pairs with one or two channels. Hence, from a practical point of view, this method was also tedious. Another possibility examined involved the use of lipophilic agents, eg, SKF-525A, to uncouple pairs with many channels. These substances provoke a dose-dependent impairment of gj.21 To visualize single-channel events arising from identified channels, the engram "slow opening, followed by fast flickering" (see "Recruitment of Newly Formed Gap Junction Channels") was most useful. It allowed us to observe the reactivation of previously blocked channels and to detect single-channel events, analyze them, and interpret them within the framework of the knowledge gained from induced cell pair experiments. The data gained in this way were appropriate to assess {gamma}j, but not channel kinetics.

Single-Channel Conductances
We found that Cx43 channels exhibit several prominent conductance states, a main open state, several substates, a residual state, and a closed state. Statistical analysis revealed that the experimental methods adopted (see "Unraveling of Single-Channel Data From Preformed Cell Pairs") has no influence on the values of {gamma}j(main state) and {gamma}j(residual state). This suggests that (1) the channels formed spontaneously, and those forced to form with the induced cell pair approach are identical, and (2) the uncoupling agents used do not affect {gamma}j. Subconductance states were interposed between the residual state and the main open state. They were mainly associated with Vj pulses of short duration and large amplitude (200 ms and >75 mV, respectively) or long duration and moderate amplitude (>1 s and {approx}50 mV, respectively). Ij transitions attributable to substates corresponded to conductances of 1/9 to 1/7 of {gamma}j(main state). Because of their rare incidence, no attempt was made to quantify the substates.

Single-channel experiments were performed in the presence of different pipette solutions. We assumed that the pipette solution was in equilibrium with the cytosol before current measurements (a few minutes versus tens of minutes). It turned out that {gamma}j values depend on the ions available as charge carriers. Under the condition most closely matching the physiological situation, ie, in the presence of Cs+ aspartate- (see Fig 7BUp), {gamma}j(residual state) and {gamma}j(main state) were 12 and 61 pS, respectively. In the presence of KCl ({Lambda}KCl>{Lambda}Cs+aspartate) and TEA+ aspartate- ({Lambda}TEA+aspartate<{Lambda}Cs+aspartate), the values of both {gamma}j(residual state) and {gamma}j(main state) grew larger (23 and 96 pS) and smaller (3 and 19 pS), respectively. Moreover, {gamma}j(residual state) was more responsive to a change in {Lambda} than was {gamma}j(main state). This becomes evident from the following comparisons: (1) The {gamma}j(main state)-to-{gamma}j(residual state) ratios for KCl, Cs+ aspartate-, and TEA+ aspartate- solution were 4.2, 5.1, and 6.3, respectively (see Fig 9Up); ie, they did not remain constant. (2) The {gamma}j(KCl)-to-{gamma}j(Cs+ aspartate-) ratios for the main state and residual state were 1.6 and 2.1, respectively; the corresponding values for the {gamma}j(KCl)-to-{gamma}j(TEA+ aspartate-) ratio were 4.8 and 8.3. These comparisons suggest that the residual state represents a more prominent barrier for ion permeation than the main open state. This conclusion supports the idea that the main state–residual state transitions provide a mechanism for the modulation of intercellular signaling based on solute size.16

Recently, it has been reported that neonatal rat myocytes express not only Cx43 but also Cx45.15 This finding is intriguing, since in our experiments we did not see currents attributable to such channels. However, Cx45 channels appear to exhibit properties distinctly different from those of Cx43 channels both at the microscopic and macroscopic current level. For example, SKHep1 cells endogenously expressing Cx45 were reported to have a {gamma}j of 32 pS and a Vj of 13.4 mV.29 Therefore, based on electrophysiological criteria, homotypic channels (Cx43-Cx43, Cx45-Cx45) and heterotypic channels (Cx43-Cx45) should be readily discernible in neonatal rat heart cells.

In the past, several investigators have attempted to assess the conductance of gap junction channels in neonatal rat heart cells. Some found histograms with a single peak: 50 to 60 pS (pipette solution, K+ glutamate-, temperature not stated),30 33 pS (Cs+ aspartate-, 22°C),19 and 45 pS (Cs+ aspartate-, 22°C).10 Others reported histograms with two peaks: 20/45 pS (K+ gluconate-, 21°C)7 and 21/43 pS (K+ gluconate-, 20°C).31 For comparison, transfection of rat Cx43 into N2A and SKHep1 cells yielded histograms with one peak (KCl, 80 pS; K+ glutamate-, 57 pS; 20°C to 22°C)32 and several peaks sensitive to Vj33 (for an explanation, see Reference 1616 ), respectively. However, these studies did not allow for distinguishing between the residual state and the closed state; ie, their {gamma}j values are likely to correspond to differences between conductance states. Hence, direct comparisons between our data and those of these groups pose problems.

Cardiac myocytes have also been used before to study selective permeabilities of gap junction channels. Examining neonatal rat heart cells, Rook et al7 reported {gamma}j(KCl)-to-{gamma}j(K+ gluconate-) ratios of 1.5 and 1.3 for their two conductance peaks. In heart cells of adult guinea pigs, Weingart and Rüdisüli34 found a {gamma}j(KCl)-to-{gamma}j(K+ aspartate-) ratio of 1.4. For comparison, Veenstra et al32 reported the following values for the {gamma}j(KCl)-to-{gamma}j(K+ glutamate-) ratio: 1.4 for rat Cx43, 1.35/1.2 for chicken Cx43, and 1.2 for chicken Cx45. However, these conductance ratios cannot be compared directly with ours because no distinction was made between {gamma}j(main state) and {gamma}j(main state)-{gamma}j(residual state) (see also above).

Transitions Between Channel States
Our single-channel records revealed two kinds of current transitions, fast ones (<2 ms) and slow ones (15 to 65 ms). Fast transitions occurred between open-channel states, ie, {gamma}j(main state), {gamma}j(substates), and {gamma}j(residual state). They resemble the transitions of voltage-gated ion channels and thus may reflect rapid conformation changes of connexins brought about by movements of polar groups. The existence of substates suggests that each connexin provides a subgate. Slow transitions occurred between {gamma}j(closed state) and an open-channel state. They were evident in conjunction with washin and washout of lipophilic uncoupling agents (see Fig 4Up) and thus may result from chemical channel gating. Conceivably, slow transitions may involve interactions between connexins and membrane lipids, thus giving rise to slow modifications of the channel structure. Occasionally, slow transitions were also seen in the absence of uncoupling agents. Presumably, slow events starting from {gamma}j(closed state) (see Fig 4Up) or ending at {gamma}j(closed state) represent recruitment of a new channel or removal of an existing channel, respectively. Coexistence of fast and slow Ij transitions has been observed previously in neonatal rat heart cells,20 transfected HeLa cells expressing Cx40,17 and insect cells.16

Comparison of Microscopic and Macroscopic Currents
Experiments on preformed cell pairs revealed that the relationship gj(ss)=f(Vj) is bell-shaped and nearly symmetrical (see Fig 12Up). The data were best described by Boltzmann's equation. It assumes that gj depends on a single population of channels with two states, that the energy difference between the states is a linear function of Vj, and that the transitions between states are reversible and obey first-order kinetics. A similar relationship between gj(ss) and Vj has been found previously in neonatal rat heart cells,10 Xenopus oocytes injected with mouse Cx43 mRNA,35 SKHep1 cells expressing human Cx43,36 and RIN cells expressing rat Cx43.37

Our single-channel data suggest that the incomplete decay of gj(ss) at large Vj is due to partial closure of individual channels; ie, gj(min) reflects {gamma}j(residual state). Initially, this concept has been proposed for insect cells16 and HeLa cells expressing various mouse connexins, such as Cx4017 (see also Bukauskas and Weingart,22 1995). This conclusion is further supported by the close match of the values of gj(min) and {gamma}j(residual state)/{gamma}j(main state) for pipette solution containing KCl (0.28/0.25 for negative/positive Vjs versus 0.24) and TEA+ aspartate- (0.15/0.16 versus 0.16). It is also compatible with the finding that gj(min) and {gamma}j(residual state)/{gamma}j(main state) were larger in the former case. According to Fig 12Up, the ionic composition of the pipette solution also affected the other Boltzmann parameters, ie, Vj(0) and z, not only gj(min). Vj(0) was smaller in the presence of KCl (51 versus 59 mV), whereas z was larger (3.1/2.9 versus 2/2.3). To explain these findings, additional experiments are needed.

The Boltzmann parameters gained from our experiments [KCl (pipette) solution: Vj(0)=-51 mV/51 mV, gj(min)=0.28/0.25, and z=3.1/2.9] are comparable to those previously reported for ventricular cells of neo-natal hamsters38 [Vj(0)=-69 mV/61 mV, gj(min)=0.34/0.32, and z=2.8/2.4; K+ glutamate- (pipette solution), room temperature], atrial cells of adult rats39 [Vj(0)=42.5 mV, gj(min)=0.22, and z=1.1; CsCl (pipette) solution, room temperature], and SKHep1 cells transfected with human Cx4333 [Vj(0)=-58 mV/64 mV, gj(min)=0.38/0.36, and z={approx}3; CsCl (pipette) solution, temperature not stated). Conceivably, the larger gj(min) values reported by the latter group may have resulted from the use of strongly coupled cell pairs (see Reference 3838 ).

Gating of Cx43 Gap Junction Channels
The data presented suggest the following model for the operation of a Cx43 channel. Each channel possesses two different gating mechanisms, one controlled by an electrical signal and the other controlled by a chemical signal. Hence, it is responsive to two kinds of stimuli. On the one hand, the residual state may be regarded as ground state of electrical gating. In this mode, the channel undergoes fast transitions (<2 ms, corresponding to the frequency response of the recording system; conceivably, the true channel transitions are faster) between the residual state and a substate or the main open state. The probability of a channel to be in the main open state is controlled by Vj. At small values of Vj, open probability is close to 1, at large values of Vj, it approaches 0. The decline of Ij with Vj is determined primarily by the open probability and, to a lesser degree, by occasional substates. On the other hand, the closed state may be regarded as ground state of chemical gating. In this mode, a channel exhibits slow transitions (tens of milliseconds) between the closed state and any one open state. A similar model has been proposed previously for the murine Cx40 channel17 and for an insect channel of unidentified gap junction protein.16


*    Selected Abbreviations and Acronyms
 
{Lambda} = conductivity of the pipette solution
{gamma}j = channel conductance
Cx (associated with number) = connexin
gj = gap junction conductance
I (with subscript) = current
Ij = junctional current
(inst) = instantaneous
(ss) = steady state
TEA = tetraethylammonium
V (with subscript) = voltage
Vj = transjunctional voltage


*    Acknowledgments
 
This study was supported by the Swiss National Science Foundation (31-36046.92 and 31-45554.95), the Schweizerische Herzstiftung, and the Swiss Department of Foreign Affairs. We are grateful to Marlis Herrenschwand for her expert technical assistance and to Prof Silvio Weidmann for his critical comments on the manuscript.


*    Footnotes
 
Reprint requests to R. Weingart, Department of Physiology, Bühlplatz 5, CH-3012 Bern, Switzerland.

Previously published as preliminary results in abstract form (Experientia. 1995;51:A68).

Received July 8, 1996; accepted January 21, 1997.


*    References
up arrowTop
up arrowAbstract
up arrowIntroduction
up arrowMaterials and Methods
up arrowResults
up arrowDiscussion
*References
 
1. Page E, Manjunath CK. Communicating junctions between cardiac cells. In: Fozzard HA, Haber E, Jennings RB, Katz AM, eds. The Heart and Cardiovascular System. New York, NY: Raven Press Publishers; 1986;3:573-600.

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