Interplay between Cystic Fibrosis Transmembrane Regulator and Gap Junction Channels Made of Connexins 45, 40, 32 and 50 Expressed in Oocytes

The cystic fibrosis transmembrane regulator (CFTR) is a Cl⁻ channel known to influence other channels, including connexin (Cx) channels. To study the functional interaction between CFTR and gap junction channels, we coexpressed in Xenopus oocytes CFTR and either Cx45, Cx40, Cx32 or Cx50 and monitored junctional conductance (G _j) and its sensitivity to transjunctional voltage (V _j) by the dual voltage-clamp method. Application of forskolin induced a Cl⁻ current; increased G _j approximately 750%, 560%, 64% and 8% in Cx45, Cx40, Cx32 and Cx50, respectively; and decreased sensitivity to V _j gating, monitored by a change in the ratio between G _j steady state and G _j peak (G _jSS/G _jPK) at the pulse. In oocyte pairs expressing just Cx45 in one oocyte (#1) and both Cx45 and CFTR in the other (#2), with negative pulses applied to oocyte #1 forskolin application still increased G _j and decreased the sensitivity to V _j gating, indicating that CFTR activation is effective even when it affects only one of the two hemichannels and that the G _j and V _j changes are not artifacts of decreased membrane resistance in the pulsed oocyte. COOH-terminus truncation reduced the forskolin effect on Cx40 (Cx40TR) but not on Cx32 (Cx32TR) channels. The data suggest a cross-talk between CFTR and a variety of gap junction channels. Cytoskeletal scaffolding proteins and/or other intermediate cytoplasmic proteins are likely to play a role in CFTR-Cx interaction.     

The Carboxyl Terminal Residues 220–283 Are Not Required for Voltage Gating of a Chimeric Connexin32 Hemichannel

Connexin hemichannels display two distinct forms of voltage-dependent gating, corresponding to the operation of V_j- or fast gates and loop- or slow gates. The carboxyl terminus (CT) of connexin 32 has been reported to be required for the operation of the V_j (fast) gates, but this conclusion was inferred from the loss of a fast kinetic component in macroscopic currents of CT-truncated intercellular channels elicited by transjunctional voltage. Such inferences are complicated by presence of both fast and slow gates in each hemichannel and the serial head-to-head arrangement of these gates in the intercellular channel. Examination of voltage gating in undocked hemichannels and V_j gate polarity reversal by a negative charge substitution (N2E) in the amino terminal domain allow unequivocal separation of the two gating processes in a Cx32 chimera (Cx32^∗43E1). This chimera expresses currents as an undocked hemichannel in Xenopus oocytes and provides a model system to study the molecular determinants and mechanisms of Cx32 voltage gating. Here, we demonstrate that both V_j- and loop gates are operational in a truncation mutation that removes all but the first four CT residues (ACAR²¹⁹) of the Cx32^∗43E1 hemichannel. We conclude that an operational Cx32 V_j (fast) gate does not require CT residues 220–283, as reported previously by others.     

The Carboxyl Terminal Residues 220–283 Are Not Required for Voltage Gating of a Chimeric Connexin32 Hemichannel

Connexin hemichannels display two distinct forms of voltage-dependent gating, corresponding to the operation of V_j- or fast gates and loop- or slow gates. The carboxyl terminus (CT) of connexin 32 has been reported to be required for the operation of the V_j (fast) gates, but this conclusion was inferred from the loss of a fast kinetic component in macroscopic currents of CT-truncated intercellular channels elicited by transjunctional voltage. Such inferences are complicated by presence of both fast and slow gates in each hemichannel and the serial head-to-head arrangement of these gates in the intercellular channel. Examination of voltage gating in undocked hemichannels and V_j gate polarity reversal by a negative charge substitution (N2E) in the amino terminal domain allow unequivocal separation of the two gating processes in a Cx32 chimera (Cx32^∗43E1). This chimera expresses currents as an undocked hemichannel in Xenopus oocytes and provides a model system to study the molecular determinants and mechanisms of Cx32 voltage gating. Here, we demonstrate that both V_j- and loop gates are operational in a truncation mutation that removes all but the first four CT residues (ACAR²¹⁹) of the Cx32^∗43E1 hemichannel. We conclude that an operational Cx32 V_j (fast) gate does not require CT residues 220–283, as reported previously by others.     

Slow Gating of Gap Junction Channels and Calmodulin

Certain COOH-terminus mutants of connexin32 (Cx32) were previously shown to form channels with unusual transjuctional voltage (V _j ) sensitivity when tested heterotypically in oocytes against Cx32 wild type. Junctional conductance (G _j ) slowly increased by severalfold or decreases to nearly zero with V _j positive or negative, respectively, at mutant side, and V _j positive at mutant side reversed CO₂-induced uncoupling. This suggested that the CO₂-sensitive gate might be a V _j -sensitive slow gate. Based on previous data for calmodulin (CaM) involvement in gap junction function, we have hypothesized that the slow gate could be a CaM-like pore plugging molecule (cork gating model). This study describes a similar behavior in heterotypic channels between Cx32 and each of four new Cx32 mutants modified in cytoplasmic-loop and/or COOH-terminus residues. The mutants are: ML/NN+3R/N, 3R/N, ML/NN and ML/EE; in these mutants, N or E replace M105 and L106, and N replace R215, R219 and R220. This study also reports that inhibition of CaM expression strongly reduces V _j and CO₂ sensitivities of two of the most effective mutants, suggesting a CaM role in slow and chemical gating. Received: 19 April 2000/Revised: 11 August 2000     

CO<Subscript>2</Subscript> Sensitivity of Voltage Gating and Gating Polarity of GapJunction Channels—Connexin40 and its COOH-Terminus-Truncated Mutant

The CO₂ sensitivity of transjunctional voltage (V _j) gating was studied by dual voltage clamp in oocytes expressing mouse Cx40 or its COOH terminus (CT)-truncated mutant (Cx40-TR). V _j sensitivity, determined by a standard V _j protocol (20 mV V _j steps, 120 mV maximal), decreased significantly with exposure to 30% CO₂. The Boltzmann values of control versus CO₂-treated oocytes were: V ₀ = 36.3 and 48.7 mV, n = 5.4 and 3.7, and G _{j min} = 0.21 and 0.31, respectively. CO₂ also affected the kinetics of V _j-dependent inactivation of junctional current (I _j); the time constants of two-term exponential I _j decay, measured at V _j = 60 mV, increased significantly with CO₂ application. Similar results were obtained with Cx40-TR, suggesting that CT does not play a role in this phenomenon. The sensitivity of Cx40 channels to 100% CO₂ was also unaffected by CT truncation. There is evidence that CO₂ decreases the V _j sensitivity of Cx26, Cx50 and Cx37 as well, whereas it increases that of Cx45 and Cx32 channels. Since Cx40, Cx26, Cx50 and Cx37 gate at the positive side of V _j, whereas Cx45 and Cx32 gate at negative V _j, it is likely that V _j behavior with respect to CO₂-induced acidification varies depending on gating polarity, possibly involving the function of the postulated V _j sensor (NH₂-terminus).This revised version was published online in June 2005 with a corrected cover date.     

Opposite Cx32 and Cx26 Voltage-Gating Response to CO2 Reflects Opposite Voltage-Gating Polarity

Previous studies have shown that the V_j-dependent gating behavior of gap junction channels is altered by CO₂ exposure. V_j-dependent channel closure is increased by CO₂ in some connexin channels and decreased in others. Since the former type of channels gate on the relatively negative side by V_j (negative gaters) and the latter at the positive side (positive gaters), it has been hypothesized that gating polarity determines the way CO₂ affects V_j closure. To test this hypothesis, we have studied the CO₂-mediated changes in V_j gating in channels made of Cx32, Cx26, or a Cx32 mutant (Cx32-N2D) in which asparagine (N) at position 2 was replaced with aspartate (D). With exposure to CO₂, Cx32 channels (negative gaters) show increased V_j-dependent closure, whereas Cx26 channels (positive gaters) respond in the opposite way to V_j. Additionally, Cx32-N2D channels (positive gaters) show decreased V_j closure with exposure to CO₂. The reciprocal Cx26 mutant, Cx26-D2N (negative gater), could not be tested because it did not express functional homotypic channels. The data support the hypothesis that polarity of fast V_j gating determines whether CO₂ increases or decreases the V_j dependent closure of gap junction channels.     

The Voltage Gates of Connexin Channels are Sensitive to CO2

Cx45 channel sensitivity to CO₂, transjunctional voltage (V_j) and inhibition of calmodulin (CaM) expression was tested in oocytes by dual voltage-clamp. Cx45 channels are very sensitive to V_jand close preferentially by the slow gate, likely the same as the chemical gate. With CO₂-induced drop in junctional conductance (G_j), the speed of V_j-dependent inactivation of junctional current (I_j) and V_jsensitivity increased. With 40 mV V_j, the τ of single exponential I_jdecay reversibly decreased by ～40% with CO₂, and G_{j steady state}/G_{j peak}decreased multiphasically, indicating that kinetics and V_jsensitivity of chemical/slow-V_jgating are altered by changes in [H⁺]_iand/or [Ca²⁺]_i. With 15 min exposure to CO₂, G_jdropped to 0% in controls and by ～17% following CaM expression inhibition; similarly, V_jsensitivity decreased significantly. This indicates that the speed and sensitivity of V_j-dependent inactivation of Cx45 channels are increased by CO₂, and that CaM plays a role in gating. Cx32 channels behaved similarly, but the drop in both G_{j steady state}/G_{j peak}and τ with CO₂matched more closely that of G_{j peak}. In contrast, sensitivity and speed of V_jgating of Cx40 and Cx26 channels decreased, rather than increased, with CO₂application.     

Is the Voltage Gate of Connexins CO<Subscript>2</Subscript>-sensitive? Cx45 Channels and Inhibition of Calmodulin Expression

The sensitivity of Cx45 channels to CO₂, transjunctional voltage (V _j) and inhibition of calmodulin (CaM) expression was tested in oocytes by dual voltage clamp. Cx45 channels are very sensitive to V _j and close with V _j preferentially by the slow gate, likely to be the same as the chemical gate. With a CO₂-induced drop in junctional conductance (G _j), both the speed of V _j-dependent inactivation of junctional current (I _j) and V _j sensitivity increased. With 40-mV V _j-pulses, the of single exponential I _j decay reversibly decreased by 40% during CO₂ application, and G_{j steady state}/G_{j peak} decreased multiphasically, indicating that both kinetics and V _j sensitivity of chemical/slow V _j gating are altered by changes in [H⁺]_i and/or [Ca²⁺]_i. CaM expression was inhibited with oligonucleotides antisense to CaM mRNA. With 15 min CO₂, relative junctional conductance (G _jt/G _jt0) dropped to 0% in controls, but only by 17% in CaM-antisense oocytes. Similarly, V _j sensitivity was significantly lessened in CaM-antisense oocytes. The data indicate that both the speed and sensitivity of V _j-dependent inactivation of the junctional current of Cx45 channels are affected by CO₂ application, and that CaM plays a key role in channel gating.     

Chemical Gating of Heteromeric and Heterotypic Gap Junction Channels

Gap junction channels contain two hemichannels (connexons), each being a connexin (Cx) hexamer. In cells expressing multiple connexins, heteromeric connexons are believed to form, whereas cell pairs expressing different connexins generate heterotypic channels. To define gating behavior of heteromeric and heterotypic channels, CO₂-induced gating was tested in Xenopus oocyte pairs expressing Cx32, or 5R/N (Cx32 mutant), as well as in pairs in which one oocyte (mx) expressed a 50/50 mixture of Cx32 and 5R/N and the other either the mixture (mx), Cx32 (32) or 5R/N (R/N). In 5R/N, replacement of 5 C-terminus arginines with asparagines greatly increased CO₂ sensitivity. In response to 3 and 15 min CO₂ exposures, junctional conductance (G _j ) decreased to 85% and 47%, in 32–32 pairs, and to 7% and 0.9%, in R/N-R/N pairs, respectively. In mx-mx and mix-32 pairs, G _j decreased to similar values (33% and 35%, respectively) with 15 min CO₂. The sensitivity of mx-R/N pairs was similar to that of heterotypic 32-R/N pairs, as G _j dropped to 36% and 38%, respectively, with 3 min CO₂. Monoheteromeric (mx-32 and mx-R/N) and biheteromeric (mx-mx) channels behaved as if Cx32 were dominant, suggesting that hemichannel sensitivity is not an average of the sensitivities of its connexin monomers. In contrast, heterotypic channels behaved as if the two hemichannels of a cell-cell channel had no influence on each other. Received: 15 May 1997/Revised: 8 December 1997     

Is the chemical gate of connexins voltage sensitive? Behavior of Cx32 wild-type and mutant channels

Connexinchannels are gated by transjunctional voltage(V_j)or CO₂ via distinct mechanisms.The cytoplasmic loop (CL) and arginines of a COOH-terminal domain(CT₁) of connexin32 (Cx32) wereshown to determine CO₂sensitivity, and a gating mechanism involvingCL-CT₁ association-dissociationwas proposed. This study reports that Cx32 mutants, tandem, 5R/E, and5R/N, designed to weaken CL-CT₁interactions, display atypicalV_jand CO₂ sensitivities when testedheterotypically with Cx32 wild-type channels inXenopus oocytes. In tandems, two Cx32monomers are linked NH₂-to-COOH terminus. In 5R/E and 5R/N mutants, glutamates or asparagines replaceCT₁ arginines. On the basis of theintriguing sensitivity of the mutant-32 channel toV_jpolarity, the existence of a "slow gate" distinct from theconventionalV_jgate is proposed. To a lesser extent the slow gatemanifests itself also in homotypic Cx32 channels. Mutant-32 channelsare more CO₂ sensitive than homotypic Cx32 channels, andCO₂-induced chemical gating isreversed with relative depolarization of the mutant oocyte, suggesting V_jsensitivity of chemical gating. A hypothetical pore-plugging modelinvolving an acidic cytosolic protein (possibly calmodulin) is discussed.

     

Gating properties of gap junction channels assembled from connexin43 and connexin43 fused with green fluorescent protein.

We used cell lines expressing wild-type connexin43 (Cx43) and Cx43 fused with enhanced green fluorescent protein (Cx43-EGFP) to examine mechanisms of gap junction channel gating. Previously it was suggested that each hemichannel in a cell-cell channel possesses two gates, a fast gate that closes channels to a nonzero conductance or residual state via fast (< approximately 2 ms) transitions and a slow gate that fully closes channels via slow transitions (> approximately 10 ms). Here we demonstrate that transjunctional voltage (V(j)) regulates both gates and that they are operating in series and in a contingent manner in which the state of one gate affects gating of the other. Cx43-EGFP channels lack fast V(j) gating to a residual state but show slow V(j) gating. Both Cx43 and Cx43-EGFP channels exhibit slow gating by chemical uncouplers such as CO(2) and alkanols. Chemical uncouplers do not induce obvious changes in Cx43-EGFP junctional plaques, indicating that uncoupling is not caused by dispersion or internalization of junctional plaques. Similarity of gating transitions during chemical gating and slow V(j) gating suggests that both gating mechanisms share common structural elements. Cx43/Cx43-EGFP heterotypic channels showed asymmetrical V(j) gating with fast transitions between open and residual states only when the Cx43 side was relatively negative. This result indicates that the fast V(j) gate of Cx43 hemichannels closes for relative negativity at its cytoplasmic end.     

Atrial fibrillation-associated Connexin40 mutants make hemichannels and synergistically form gap junction channels with novel properties

Mutations of Cx40 (GJA5) have been identified in people with lone chronic atrial fibrillation including G38D and M163V which were found in the same patient. We used dual whole cell patch clamp procedures to examine the transjunctional voltage (V_j) gating and channel conductance properties of these two rare mutants. Each mutant exhibited slight alterations of V_j gating properties and increased the gap junction channel conductance (γ_j) by 20–30 pS. While co-expression of the two mutations had similar effects on V_j gating, it synergistically increased γ_j by 50%. Unlike WTCx40 or M163V, G38D induced activity of a dominant 271 pS hemichannel.     

Influence of V5/6-His Tag on the Properties of Gap Junction Channels Composed of Connexin43, Connexin40 or Connexin45

HeLa cells expressing wild-type connexin43, connexin40 or connexin45 and connexins fused with a V5/6-His tag to the carboxyl terminus (CT) domain (Cx43-tag, Cx40-tag, Cx45-tag) were used to study connexin expression and the electrical properties of gap junction channels. Immunoblots and immunolabeling indicated that tagged connexins are synthesized and targeted to gap junctions in a similar manner to their wild-type counterparts. Voltage-clamp experiments on cell pairs revealed that tagged connexins form functional channels. Comparison of multichannel and single-channel conductances indicates that tagging reduces the number of operational channels, implying interference with hemichannel trafficking, docking and/or channel opening. Tagging provoked connexin-specific effects on multichannel and single-channel properties. The Cx43-tag was most affected and the Cx45-tag, least. The modifications included (1) V _j-sensitive gating of I _j (V _j, gap junction voltage; I _j, gap junction current), (2) contribution and (3) kinetics of I _j deactivation and (4) single-channel conductance. The first three reflect alterations of fast V _j gating. Hence, they may be caused by structural and/or electrical changes on the CT that interact with domains of the amino terminus and cytoplasmic loop. The fourth reflects alterations of the ion-conducting pathway. Conceivably, mutations at sites remote from the channel pore, e.g., 6-His-tagged CT, affect protein conformation and thus modify channel properties indirectly. Hence, V5/6-His tagging of connexins is a useful tool for expression studies in vivo. However, it should not be ignored that it introduces connexin-dependent changes in both expression level and electrophysiological properties.     

Functional formation of heterotypic gap junction channels by connexins-40 and -43

Connexin40 (Cx40) and connexin43 (Cx43) are co-expressed in the cardiovascular system, yet their ability to form functional heterotypic Cx43/Cx40 gap junctions remains controversial. We paired Cx43 or Cx40 stably-transfected N2a cells to examine the formation and biophysical properties of heterotypic Cx43/Cx40 gap junction channels. Dual whole cell patch clamp recordings demonstrated that Cx43 and Cx40 form functional heterotypic gap junctions with asymmetric transjunctional voltage (V_j) dependent gating properties. The heterotypic Cx43/Cx40 gap junctions exhibited less V_j gating when the Cx40 cell was positive and pronounced gating when negative. Endogenous N2a cell connexin expression levels were 1,000-fold lower than exogenously expressed Cx40 and Cx43 levels, measured by real-time PCR and Western blotting methods, suggestive of heterotypic gap junction formation by exogenous Cx40 and Cx43. Imposing a [KCl] gradient across the heterotypic gap junction modestly diminished the asymmetry of the macroscopic normalized junctional conductance – voltage (G_j-V_j) curve when [KCl] was reduced by 50% on the Cx43 side and greatly exacerbated the V_j gating asymmetries when lowered on the Cx40 side. Pairing wild-type (wt) Cx43 with the Cx40 E9,13K mutant protein produced a nearly symmetrical heterotypic G_j-V_j curve. These studies conclusively demonstrate the ability of Cx40 and Cx43 to form rectifying heterotypic gap junctions, owing primarily to alternate amino-terminal (NT) domain acidic and basic amino acid differences that may play a significant role in the physiology and/or pathology of the cardiovascular tissues including cardiac conduction properties and myoendothelial intercellular communication.     

Voltage Gating of Gap Junctions in Cochlear Supporting Cells: Evidence for Nonhomotypic Channels

The organ of Corti has been found to have multiple gap junction subunits, connexins, which are localized solely in nonsensory supporting cells. Connexin mutations can induce sensorineural deafness. However, the characteristics and functions of inner ear gap junctions are not well known. In the present study, the voltage-dependence of gap junctional conductance (G _j ) in cochlear supporting cells was examined by the double voltage clamp technique. Multiple types of asymmetric voltage dependencies were found for both nonjunctional membrane voltage (V _m ) and transjunctional (V _j ) voltage. Responses for each type of voltage dependence were categorized into four groups. The first two groups showed rectification that was polarity dependent. The third group exhibited rectification with either voltage polarity, i.e., these cells possessed a bell-shaped G _j -V _j or G _j -V _m function. The rectification due to V _j had fast and slow components. On the other hand, V _m -dependent gating was fast (<5 msec), but stable. Finally, a group was found that evidenced no voltage dependence, although the absence of V _j dependence did not preclude V _m dependence and vice versa. In fact, for all groups V _j sensitivity could be independent of V _m sensitivity. The data show that most gap junctional channels in the inner ear have asymmetric voltage gating, which is indicative of heterogeneous coupling and may result from heterotypic channels or possibly heteromeric configurations. This heterogeneous coupling implies that single connexin gene mutations may affect the normal physiological function of gap junctions that are not limited to homotypic configurations. Received: 17 September 1999/Revised: 12 January 2000     

The role of amino terminus of mouse Cx50 in determining transjunctional voltage-dependent gating and unitary conductance

Amino-terminus and carboxyl-terminus of connexins have been proposed to be responsible for the transjunctional voltage-dependent gating (V_j-gating) and the unitary gap junction channel conductance (γ_j). To better understand the molecular structure(s) determining the V_j-gating properties and the γ_j of Cx50, we have replaced part of the amino-terminus of mCx50 by the corresponding domain of mCx36 to engineer a chimera Cx50-Cx36N, and attached GFP at the carboxyl-terminus of mCx50 to construct Cx50-GFP. The dual whole-cell patch-clamp technique was used to test the resulting gap junction channel properties in N2A cells. The Cx50-Cx36N gap junction channel lowered the sensitivity of steady-state junctional conductance to V_j (G_j/V_j relationship), slowed V_j-gating kinetics, and reduced γ_j as compared to Cx50 channel. Cx50-GFP gap junction channel showed similar V_j-gating properties and γ_j to Cx50 channel. We further characterized a mutation, Cx50N9R, where the Asn (N) at the ninth position of Cx50 was replaced by the corresponding Arg (R) at Cx36. The G_j/V_j relationship of Cx50N9R channel was significantly changed; most strikingly, the macroscopic residual conductance (G_min) was near zero. Moreover, the single Cx50N9R channel only displayed one open state (γ_j = 132 ± 4 pS), and no substate could be detected. Our data suggest that the NT of Cx50 is critical for both the V_j-gating and the γ_j, and the introduction of a positively charged Arg at the ninth position reduced the G_min with a correlated disappearance of the substate at the single channel level.     

Functional formation of heterotypic gap junction channels by connexins-40 and -43

Connexin40 (Cx40) and connexin43 (Cx43) are co-expressed in the cardiovascular system, yet their ability to form functional heterotypic Cx43/Cx40 gap junctions remains controversial. We paired Cx43 or Cx40 stably-transfected N2a cells to examine the formation and biophysical properties of heterotypic Cx43/Cx40 gap junction channels. Dual whole cell patch clamp recordings demonstrated that Cx43 and Cx40 form functional heterotypic gap junctions with asymmetric transjunctional voltage (V_j) dependent gating properties. The heterotypic Cx43/Cx40 gap junctions exhibited less V_j gating when the Cx40 cell was positive and pronounced gating when negative. Endogenous N2a cell connexin expression levels were 1,000-fold lower than exogenously expressed Cx40 and Cx43 levels, measured by real-time PCR and Western blotting methods, suggestive of heterotypic gap junction formation by exogenous Cx40 and Cx43. Imposing a [KCl] gradient across the heterotypic gap junction modestly diminished the asymmetry of the macroscopic normalized junctional conductance – voltage (G_j-V_j) curve when [KCl] was reduced by 50% on the Cx43 side and greatly exacerbated the V_j gating asymmetries when lowered on the Cx40 side. Pairing wild-type (wt) Cx43 with the Cx40 E9,13K mutant protein produced a nearly symmetrical heterotypic G_j-V_j curve. These studies conclusively demonstrate the ability of Cx40 and Cx43 to form rectifying heterotypic gap junctions, owing primarily to alternate amino-terminal (NT) domain acidic and basic amino acid differences that may play a significant role in the physiology and/or pathology of the cardiovascular tissues including cardiac conduction properties and myoendothelial intercellular communication.     

A Stochastic Four-State Model of Contingent Gating of Gap Junction Channels Containing Two “Fast” Gates Sensitive to Transjunctional Voltage

Connexins, a family of membrane proteins, form gap junction (GJ) channels that provide a direct pathway for electrical and metabolic signaling between cells. We developed a stochastic four-state model describing gating properties of homotypic and heterotypic GJ channels each composed of two hemichannels (connexons). GJ channel contain two “fast” gates (one per hemichannel) oriented opposite in respect to applied transjunctional voltage (V_j). The model uses a formal scheme of peace-linear aggregate and accounts for voltage distribution inside the pore of the channel depending on the state, unitary conductances and gating properties of each hemichannel. We assume that each hemichannel can be in the open state with conductance γ_h,o and in the residual state with conductance γ_h,res, and that both γ_h,o and γ_h,res rectifies. Gates can exhibit the same or different gating polarities. Gating of each hemichannel is determined by the fraction of V_j that falls across the hemichannel, and takes into account contingent gating when gating of one hemichannel depends on the state of apposed hemichannel. At the single-channel level, the model revealed the relationship between unitary conductances of hemichannels and GJ channels and how this relationship is affected by γ_h,o and γ_h,res rectification. Simulation of junctions containing up to several thousands of homotypic or heterotypic GJs has been used to reproduce experimentally measured macroscopic junctional current and V_j-dependent gating of GJs formed from different connexin isoforms. V_j-gating was simulated by imitating several frequently used experimental protocols: 1), consecutive V_j steps rising in amplitude, 2), slowly rising V_j ramps, and 3), series of V_j steps of high frequency. The model was used to predict V_j-gating of heterotypic GJs from characteristics of corresponding homotypic channels. The model allowed us to identify the parameters of V_j-gates under which small changes in the difference of holding potentials between cells forming heterotypic junctions effectively modulates cell-to-cell signaling from bidirectional to unidirectional. The proposed model can also be used to simulate gating properties of unapposed hemichannels.     

Inversion of both gating polarity and CO2 sensitivity of voltage gating with D3N mutation of Cx50

The effect of CO₂-induced acidification on transjunctional voltage (V_j) gating was studied by dual voltage-clamp in oocytes expressing mouse connexin 50 (Cx50) or a Cx50 mutant (Cx50-D3N), in which the third residue, aspartate (D), was mutated to asparagine (N). This mutation inverted the gating polarity of Cx50 from positive to negative. CO₂ application greatly decreased the V_j sensitivity of Cx50 channels, and increased that of Cx50-D3N channels. CO₂ also affected the kinetics of V_j dependent inactivation of junctional current (I_j), decreasing the gating speed of Cx50 channels and increasing that of Cx50-D3N channels. In addition, the D3N mutation increased the CO₂ sensitivity of chemical gating such that even CO₂ concentrations as low as 2.5% significantly lowered junctional conductance (G_j). With Cx50 channels G_j dropped by 78% with a drop in intracellular pH (pH_i) to 6.83, whereas with Cx50-D3N channels G_j dropped by 95% with a drop in pH_i to just 7.19. We have previously hypothesized that the way in which V_j gating reacts to CO₂ might be related to connexin’s gating polarity. This hypothesis is confirmed here by evidence that the D3N mutation inverts the gating polarity as well as the effect of CO₂ on V_j gating sensitivity and speed. cell communication; lens; gap junctions; chemical gating; channel gating; Xenopus oocytes     

Stochastic Model of Gap Junctions Exhibiting Rectification and Multiple Closed States of Slow Gates

Gap-junction (GJ) channels formed from connexin (Cx) proteins provide direct pathways for electrical and metabolic cell-cell communication. Earlier, we developed a stochastic 16-state model (S16SM) of voltage gating of the GJ channel containing two pairs of fast and slow gates, each operating between open (o) and closed (c) states. However, experimental data suggest that gates may in fact contain two or more closed states. We developed a model in which the slow gate operates according to a linear reaction scheme, o↔c₁↔c₂, where c₁ and c₂ are initial-closed and deep-closed states that both close the channel fully, whereas the fast gate operates between the open state and the closed state and exhibits a residual conductance. Thus, we developed a stochastic 36-state model (S36SM) of GJ channel gating that is sensitive to transjunctional voltage (V_j). To accelerate simulation and eliminate noise in simulated junctional conductance (g_j) records, we transformed an S36SM into a Markov chain 36-state model (MC36SM) of GJ channel gating. This model provides an explanation for well-established experimental data, such as delayed g_j recovery after V_j gating, hysteresis of g_j-V_j dependence, and the low ratio of functional channels to the total number of GJ channels clustered in junctional plaques, and it has the potential to describe chemically mediated gating, which cannot be reflected using an S16SM. The MC36SM, when combined with global optimization algorithms, can be used for automated estimation of gating parameters including probabilities of c₁↔c₂ transitions from experimental g_j-time and g_j-V_j dependencies.