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Am J Physiol Heart Circ Physiol 276: H572-H581, 1999;
0363-6135/99 $5.00
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Vol. 276, Issue 2, H572-H581, February 1999

Modulation of repolarization in rabbit Purkinje and ventricular myocytes coupled by a variable resistance

Delilah J. Huelsing1,2, Kenneth W. Spitzer3, Jonathan M. Cordeiro4, and Andrew E. Pollard1

1 Cardiac Rhythm Management Lab and Department of Biomedical Engineering, University of Alabama-Birmingham, Birmingham, Alabama 35294; 2 Department of Biomedical Engineering, Tulane University, New Orleans, Louisiana 70125; 3 Nora Eccles Harrison Cardiovascular Research and Training Institute, University of Utah School of Medicine, Salt Lake City, Utah 84112; and 4 Department of Physiology and Biophysics, University of Calgary School of Medicine, Calgary, Alberta, Canada T2N 4N1


    ABSTRACT
Top
Abstract
Introduction
Materials and methods
Results
Discussion
References

Purkinje-ventricular junctions (PVJs) have been implicated as potential sites of arrhythmogenesis, in part because of the dispersion of action potential duration (APD) between Purkinje (P) and ventricular (V) myocytes. To characterize electrotonic modulation of APD as a function of junctional resistance (Rj), we coupled single isolated rabbit P and V myocytes with an electronic circuit. In seven of eight PV myocyte pairs, both APDs shortened on coupling at Rj = 50 MOmega . This was in contrast to modulation of APD in paired ventricular myocytes, which demonstrated APD shortening of the intrinsically longer action potential and APD prolongation of the intrinsically shorter action potential. Companion computer simulations, performed to suggest possible mechanisms for the paradoxical shortening of the V action potential in paired P and V myocytes, showed that the difference in intrinsic peak plateau potentials (Vpp) of the P and V myocytes determined whether the V action potential shortened or prolonged on coupling. This difference in Vpp caused a large, repolarizing coupling current to flow to the V myocyte, contributing to early inactivation of the L-type calcium current and early activation of the inward rectifier current. These results suggest that intrinsic differences in phase 1 repolarization could yield differing patterns of APD shortening or prolongation in the network of subendocardial PVJs, leaving some PVJs vulnerable to conduction of premature stimuli while other PVJs remain refractory.

coupling clamp circuit; membrane models; transient outward current


    INTRODUCTION
Top
Abstract
Introduction
Materials and methods
Results
Discussion
References

REGIONAL DIFFERENCES in action potential duration (APD) are arrhythmogenic (10, 20). Such differences exist at the Purkinje-ventricular junctions (PVJs), discrete sites of Purkinje (P)-ventricular (V) interaction distributed throughout the subendocardium (26-28). Action potentials from free-running Purkinje strands are typically longer than ventricular action potentials (5). At the PVJs, however, the junctional action potentials are electrotonically modulated, such that there is a distribution of APD across the PVJs (22, 27, 42). To understand how this distribution might contribute to or prevent arrhythmogenesis, it is important to characterize electrotonic modulation of APD as a function of cell-to-cell junctional resistance (Rj). Within the intact myocardium, however, neither a description of intrinsic membrane properties before coupling nor a method for selectively varying Rj is available.

Computer simulations provide a qualitative description of intrinsic action potential characteristics before and after coupling as well as the ability to adjust Rj to any desired value. Theoretical considerations indicate that Rj is an important determinant of spatial heterogeneities in APD and refractory period in multicellular preparations that have heterogeneities in intrinsic (uncoupled) APD. For example, Lesh et al. (21) modeled spatial dispersion of intrinsic APD within a sheet of myocardium and found that increasing Rj unmasked spatial inhomogeneities in APD. Similarly, Joyner et al. (15) observed that coupling two regions with intrinsic differences in APD produced APD shortening throughout the region with intrinsically longer APD and APD prolongation in the region with intrinsically shorter APD.

In the present study, we used a two-cell experimental system (12, 38) to characterize modulation of APD between coupled P and V myocytes. We hypothesized that coupling a single rabbit P myocyte to a single rabbit V myocyte would result in action potentials of durations intermediate to their intrinsic values. Surprisingly, we found that both action potentials shortened on coupling. Companion computer simulations, performed to elucidate the mechanisms underlying this modulation, suggested that the intrinsic P plateau level determined whether the V action potential shortened or prolonged on coupling. These results may be important in understanding how intrinsic differences in action potential configuration and electrotonic current flow at the PVJ contribute to differential responses to premature stimuli and the development of reentrant activity (8, 31).


    MATERIALS AND METHODS
Top
Abstract
Introduction
Materials and methods
Results
Discussion
References

Cell isolation. Single P and V myocytes were isolated from rabbit hearts using previously published techniques (4, 32). Adult male rabbits weighing 2.0-3.0 kg were anesthetized with 1 ml/kg pentobarbital sodium and 0.5 ml heparin. After rapid isolation of the heart, the aorta was cannulated for Langendorff perfusion. The heart was sequentially perfused for 8-10 min with nominally Ca2+-free Tyrode solution, 18-20 min with enzyme solution containing 0.1 mM Ca2+, and 5 min with 0.1 mM Ca2+ Tyrode solution containing no enzymes.

Free-running Purkinje fibers were dissected from both ventricles, put into a small bath containing enzyme solution, and agitated with a stream of 100% O2. The temperature was maintained at 37°C. Single P myocytes were periodically removed from the bath and stored in 0.1 mM Ca2+ solution, and enzyme solution was added to the remaining P fibers in the bath to maintain a 2-ml volume. Cell dissociation required 15-60 min under these conditions. After the P fibers were dissected from both ventricles, the endocardial surface of the left ventricle was minced and gently agitated for 10 min in 0.1 mM Ca2+ Tyrode solution. The isolated cells were stored at room temperature in 1 mM Ca2+ Tyrode solution until use.

Solutions. Nominally Ca2+-free Tyrode solution contained (in mM) 126 NaCl, 5.4 KCl, 5.0 MgCl2, 22 glucose, 1.0 NaH2PO4, 20 taurine, 5 creatine, 5 sodium pyruvate, and 24 HEPES, with pH adjusted to 7.4 with NaOH. The enzyme solution had the same composition, except that it also contained 1 mg/ml collagenase (type II, Worthington Biochemical, Freehold, NJ), 0.1 mg/ml protease (type XIV, Sigma Chemical, St. Louis, MO), and 0.1 mM CaCl2.

The normal bathing solution during the experiments contained (in mM) 126 NaCl, 5.4 KCl, 1.0 MgCl2, 1.0 CaCl2, 11 glucose, and 24 HEPES titrated with 13.0 mM NaOH (pH 7.4). In some experiments, we prepared a second bathing solution of the same composition but that additionally contained 2 mM 4-aminopyridine (4-AP). 4-AP reduced phase 1 repolarization by blocking the Ca2+-independent component of the transient outward current (Ito).

The pipette filling solution contained (in mM) 15 NaCl, 30 KCl, 1.0 MgCl2, 5.0 HEPES, 10 EGTA, 5.0 K2ATP, and 90 potassium aspartate, pH adjusted to 7.2 with KOH. Transmembrane potentials were corrected for the 10-mV liquid junction potential caused by the potassium aspartate.

Electrical recordings. P and V myocytes were placed in a glass-bottom, temperature-controlled bath (36°C) and continuously bathed with the normal Tyrode solution at a rate of 1-2 ml/min. Transmembrane potentials were recorded with an Axoclamp 2B amplifier system (Axon Instruments, Foster City, CA). Suction pipettes were made from borosilicate glass (no. 7052, OD 1.65 mm, ID 1.20 mm, A-M Systems, Everett, WA), and when filled with the pipette filling solution they had resistances of 1-5 MOmega . Pipette series resistance was carefully compensated before cell attachment. Pipette capacitance was minimized by maintaining a low level (1 mm) of solution in the bath. To minimize electrotonic interactions resulting from sequential activation (12), we simultaneously stimulated both myocytes with intracellular current injection. The cycle length was either 1 or 1.5 s but was held constant in each experiment. The stimulus duration was 3 ms, and the stimulus magnitude was ~1.1 times the current threshold. The Purkinje (Vm,p) and ventricular (Vm,v) transmembrane voltages (Vm) were digitized at 50 kHz for the first 100 ms of the action potential and then at 4 kHz until the next stimulus was applied. These traces were digitized with a 12-bit analog-to-digital converter (Digidata 1200A, Axon Instruments) and recorded with a computer using pCLAMP 6 software (Axon Instruments) for these coupling experiments.

As previously described (12, 38), the electronic circuit used to couple the two myocytes included two amplifiers with variable gain to compute the membrane voltage differences (Vm,p - Vm,v and Vm,v - Vm,p). That output was sent to voltage-to-current convertors with fixed gain to simultaneously supply equal and opposite coupling current (Ic) of (Vm,p - Vm,v)/Rj to the V myocyte and (Vm,v - Vm,p)/Rj to the P myocyte. Rj was determined by the gains of the convertors and amplifiers and could be varied from 0 to 2,000 MOmega in our system. We defined Ic as positive when it flowed from the ventricular to the Purkinje myocyte.

Our procedure for studying modulation of repolarization in coupled P and V myocytes was to first establish pipette attachments in both myocytes. We simultaneously recorded five intrinsic (uncoupled) action potentials and then coupled the myocytes at Rj = 1,000 MOmega and immediately recorded the next five action potentials from both myocytes. We repeated this procedure for resistances of 500 and 50 MOmega . We characterized modulation of repolarization through changes in APD and the peak plateau potential (Vpp), where APD was the time of 90% repolarization and Vpp was defined as Vm at the end of phase 1. Because the transition from phase 1 to phase 2 was not always easy to identify, we mathematically defined Vpp as the local zero-crossing of d2Vm/dt2, which represented the point where phase 1 repolarization was slowest.

Data analysis. Because the action potential configuration recorded from a single myocyte demonstrates beat-to-beat variability (35), we averaged Vpp and APD for the five uncoupled and the five coupled action potentials at each resistance for every myocyte pair. Thus the summary statistics reflect means ± SD of all recorded traces. Statistical analysis included one-way analysis of variance (Minitab 10x, State College, PA). A value of P < 0.05 was considered statistically significant.

Computer simulations. As previously described (12), we used the DiFrancesco-Noble (DN) membrane equations (2) to describe the ionic currents for a single Purkinje cell and the Luo-Rudy (LRd) membrane equations (24, 47) to describe the ionic currents for a single ventricular cell. Action potentials were calculated by numerically solving the following equations
<FR><NU><IT>V</IT><SUB>m,v</SUB> − <IT>V</IT><SUB>m,p</SUB></NU><DE><IT>R</IT><SUB>j</SUB></DE></FR> = <IT>S</IT><SUB>m</SUB> <FENCE><IT>C</IT><SUB>m</SUB> <FR><NU>d<IT>V</IT><SUB>m,p</SUB></NU><DE>d<IT>t</IT></DE></FR> + <IT>I</IT><SUB>ion,p</SUB></FENCE> (1)
<FR><NU><IT>V</IT><SUB>m,p</SUB> − <IT>V</IT><SUB>m,v</SUB></NU><DE><IT>R</IT><SUB>j</SUB></DE></FR> = <IT>S</IT><SUB>m</SUB> <FENCE><IT>C</IT><SUB>m</SUB> <FR><NU>d<IT>V</IT><SUB>m,v</SUB></NU><DE>d<IT>t</IT></DE></FR> + <IT>I</IT><SUB>ion,v</SUB></FENCE> (2)
In Eqs. 1 and 2, Rj is expressed in megaohms, Cm is membrane capacitance (µF/cm2), Iion is total ionic current (µA/cm2), and Sm is membrane surface area (cm2).

All simulations were performed after the model cells were simultaneously paced at a cycle length of 600 ms for 10 s. We then followed the same protocol as outlined for the experiments. Simulations were performed on a Sun Microsystems SPARC4 workstation. Solution times were typically 2 min.

Parameter scaling for Ito. In some simulations, we studied the influence of the P plateau potential on modulation of the ventricular APD. To adjust Vpp of the model P cell, we modified the magnitude of the transient outward current (Ito) in the DN membrane equations. Figure 1 shows the uncoupled P action potentials (A) resulting from variation in Ito (B). A peak Ito of 51.9 µA/cm2 generated action potentials similar to those recorded in the experiments, with APD = 312 ms and Vpp = -33 mV. Nearly complete block of Ito increased Vpp to 17 mV and shortened APD to 260 ms. Graded reduction of Ito yielded graded changes in Vpp and APD. These modifications were used in all simulations involving analyses of the contributions of high (Vpp = 17 mV) and low (Vpp = -33 mV) P plateau to modulation of APD between P and V cells.


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Fig. 1.   Effect of varying transient outward current (Ito) on plateau potential and action potential duration (APD) of uncoupled model Purkinje (P) cell. A: P action potentials generated by different magnitudes of Ito (B). Left, time course during entire action potential; peak and early plateau are expanded on right. Peak Ito = 51.9 µA/cm2 (dotted traces) generated a low P plateau and long APD. Peak Ito = 0.8 µA/cm2 (solid line) generated a high P plateau and shorter APD. Intermediate values of Ito (e.g., Ito = 3.2 µA/cm2, dashed line) generated intermediate plateau levels and durations.


    RESULTS
Top
Abstract
Introduction
Materials and methods
Results
Discussion
References

Modulation of repolarization in PV and VV' myocyte pairs. Action potentials from PV and VV' myocyte pairs demonstrated different patterns of modulation in response to electrical coupling. VV' myocyte pairs demonstrated shortening of the longer action potential and prolongation of the shorter action potential, whereas PV myocyte pairs demonstrated shortening of both action potentials. Figure 2 shows uncoupled and coupled action potentials from a PV myocyte pair (A) and a VV' myocyte pair (B). In Fig. 2A, the uncoupled P action potential had a lower plateau and longer duration than the uncoupled V action potential. Vpp was -37.6 mV and APD measured 437 ms in the uncoupled P action potential, whereas in the uncoupled V action potential, Vpp was 28.6 mV and APD measured 325 ms. On coupling at Rj = 50 MOmega , both action potentials shortened dramatically, with concomitant changes to their plateaus. In the coupled P action potential, Vpp increased to -15.3 mV and APD measured 119 ms. In the coupled V action potential, Vpp decreased to 1.7 mV and APD measured 115 ms.


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Fig. 2.   Comparison between Purkinje-ventricular (PV) and ventricular-ventricular (VV') myocyte pairs of modulation of repolarization during coupling. Solid traces, uncoupled action potentials; dashed traces, action potentials coupled at junctional resistance (Rj) = 50 MOmega . Peak plateau potential (Vpp) and APD for uncoupled action potentials are indicated along ordinate and abscissa, respectively. A: action potentials recorded from a PV myocyte pair. B: action potentials recorded from a VV' myocyte pair.

In contrast, electrical coupling of ventricular myocytes resulted in APD shortening of the longer (V) action potential and APD prolongation of the shorter (V') action potential. In Fig. 2B, Vpp was 31.6 mV and APD was 211 ms in the V' action potential. In the uncoupled V action potential, Vpp was 33.0 mV and APD was 337 ms. During coupling at Rj = 50 MOmega , the values of Vpp and APD in both action potentials were intermediate to the intrinsic V and V' values.

We observed this pattern of APD shortening of the longer action potential and prolongation of the shorter action potential in all eight VV' myocyte pairs studied. These results are summarized in Fig. 3. The data are organized by coupling resistance and include measurements taken before coupling and on coupling at each Rj. Coupling-induced changes in mean APD were asymmetric (Fig. 3A). Decreasing Rj progressively shortened the V action potentials and prolonged the V' action potentials, with statistically significant changes in APD at all three values of Rj. At Rj = 50 MOmega , the V and V' action potentials had the same mean APD of 242 ms. The shorter V' action potentials had an intrinsically higher Vpp than the longer V action potentials (Fig. 3B). However, coupling did not significantly alter Vpp in either the V or V' action potentials.


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Fig. 3.   Summary of coupling-induced changes in APD (A) and Vpp (B) in 8 VV' myocyte pairs. Values are means ± SD. Open bars, values for V myocytes (intrinsically longer APD); filled bars, values for V' myocytes (intrinsically shorter APD). * Statistically significant difference between V and V' action potential characteristics. dagger  Statistically significant difference between uncoupled (U) and coupled (C) action potential characteristics.

We observed shortening of both the P and V action potentials in seven of eight PV myocyte pairs studied. The results of the seven pairs are shown in Fig. 4. The mean intrinsic APD was ~485 ms in the P action potentials and ~250 ms in the V action potentials (Fig. 4A). Decreasing Rj asymmetrically shortened the P and V action potentials because the coupling-induced change in APD was about four times greater in the P than V action potentials at each Rj. At Rj = 50 MOmega , the P and V action potential durations were not significantly different. The coupling-induced changes in Vpp are illustrated in Fig. 4B. The intrinsic Vpp of the P action potentials was approximately -20 mV, and the intrinsic Vpp of the V action potentials was approximately 35 mV. Vpp increased progressively in the P action potentials with decreased Rj. In the V action potentials, statistically significant decreases in Vpp were observed at Rj = 500 MOmega and Rj = 50 MOmega .


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Fig. 4.   Summary of coupling-induced changes in APD (A) and Vpp (B) in 7 PV myocyte pairs. Same basic format as Fig. 3. Open bars, P myocyte; filled bars, V myocyte.

Purkinje Vpp and ventricular APD. In the one PV myocyte pair that did not demonstrate shortening of both action potentials on coupling, Vpp of the uncoupled P action potential was much higher than the mean Vpp. Figure 5 shows action potentials from this PV cell pair before and after coupling. In the uncoupled P action potential, Vpp was 1.5 mV and APD measured 431 ms. Consistent with coupling-induced changes in the P action potential observed in the other seven PV myocyte pairs, Vpp increased and APD shortened at Rj = 50 MOmega . However, the ventricular APD prolonged from 136 to 156 ms when coupled at Rj = 50 MOmega .


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Fig. 5.   P and V action potentials recorded before and after coupling at Rj = 50 MOmega . Same format as Fig. 2.

This result suggested that Vpp of the P action potential determined whether the ventricular APD prolonged or shortened on coupling. To test this hypothesis, we used simulations in which we varied the magnitude of Ito in the model P cell to yield action potentials with different Vpp (Fig. 6). When the P plateau was low (Vpp = -33 mV), both the P and V action potentials shortened on coupling at Rj = 50 MOmega (Fig. 6A). This was consistent with changes observed in the experiments (compare with Fig. 2A). When the P plateau was high (Vpp = 17 mV), the P action potential shortened by 84 ms, but the V action potential prolonged by 12 ms on coupling at Rj = 50 MOmega (Fig. 6B). This was consistent with the response shown in Fig. 5.


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Fig. 6.   Simulation results showing relationship between P plateau potential and coupling-induced changes in APD. A: model P and V action potentials before and after coupling at Rj = 50 MOmega when Vpp of uncoupled P action potential was -33 mV (low plateau). B: model P and V action potentials before and after coupling at Rj = 50 MOmega when Vpp of uncoupled P action potential was 17 mV (high plateau). C and D, traces marked P show change in APD of model P action potential with Rj when intrinsic P plateau was low (C) and high (D). Traces marked V show corresponding change in APD of model V action potential. Solid horizontal line indicates uncoupled ventricular APD (172 ms).

Figure 6, C and D, illustrates the relationship between APD and Rj for the low P plateau and high P plateau, respectively. The solid line in each panel indicates the uncoupled ventricular APD (172 ms). When the P action potential had an intrinsically low plateau (Fig. 6C), both the P and V APDs shortened for all Rj. As Rj increased, the action potentials approached their intrinsic values. When the P action potential had an intrinsically high plateau (Fig. 6D), the ventricular APD prolonged with decreasing Rj. Intermediate P plateau levels either shortened or prolonged the V action potential on coupling at Rj = 50 MOmega . In these simulations (not shown), Vpp > -20 mV in the uncoupled P action potential resulted in prolongation of the V action potential on coupling at Rj = 50 MOmega .

Effect of 4-aminopyridine on coupling-induced changes in APD. Because the simulations suggested that blocking Ito would cause the ventricular APD to prolong rather than shorten on coupling, we tested this hypothesis experimentally using 4-aminopyridine (4-AP) to inhibit the Ca2+-independent component of Ito. The coupling protocol was first performed in normal bathing solution and then repeated after equilibration in 2 mM 4-AP (Fig. 7). As described above (Fig. 2), coupling in normal bathing solution shortened both action potentials, increased Vpp of the P action potential, and decreased Vpp of the V action potential (Fig. 7A). However, in 2 mM 4-AP (Fig. 7B), the P and V action potentials came to an intermediate APD. The Purkinje APD shortened by 107 ms, and the ventricular APD prolonged by 23 ms on coupling at Rj = 50 MOmega .


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Fig. 7.   Uncoupled and coupled action potentials and coupling current (Ic) from an experiment before and after superfusion with 4-aminopyridine (4-AP). A: P and V action potentials and Ic in normal bathing solution. B: P and V action potentials and Ic in 2 mM 4-AP.

The magnitude of the Ic that flowed between the myocytes as a result of electrotonic interaction during phase 1 repolarization affected APD modulation on coupling. In normal bathing solution (Fig. 7A), the loading effect of the low P plateau caused a large repolarizing Ic to flow into the V myocyte during the entire plateau. Because the peak Ic was so large (0.31 nA), it caused an accelerated repolarization of the V action potential. In contrast, the P and V action potentials in 4-AP solution (Fig. 7B) had a much smaller difference in plateau potentials, so that the resulting peak Ic was much smaller (0.14 nA).

We were able to complete this protocol in two PV myocyte pairs. In normal bathing solution, the average APD shortening of the V action potential was 119 ± 92 ms when coupled to the P myocyte at Rj = 50 MOmega . 4-AP induced a 33.3 ± 17.0 mV increase in Vpp in the uncoupled P action potentials. This higher P plateau resulted in an average prolongation of the ventricular APD of 19 ± 4 ms on coupling at Rj = 50 MOmega in 4-AP.

Computer simulations suggesting underlying ionic mechanisms. Because the simulations qualitatively reproduced the experimental results and suggested that blocking Ito reversed coupling-induced shortening of the ventricular APD, we used simulations to describe how the ionic currents that dominate during repolarization [L-type calcium current (ICa), delayed rectifier current (IK), and inward rectifier current (IK1)] were affected in the model V cell on coupling. Figure 8 shows simulated action potentials (A), Ic (B), and the ionic currents dominant during repolarization (C-E) from the model V cell. Three cases are illustrated: 1) the uncoupled V action potential and currents, 2) the V action potential and currents when coupled to a model P cell with a high plateau, and 3) the V action potential and currents when coupled to a model P cell with a low plateau. When coupled to the model P cell with a high plateau, the V action potential had a minimal decrease in Vpp and a modest prolongation of APD, relative to the uncoupled V action potential (Fig. 8A). Consistent with the experiments (Fig. 7B), the relatively small potential gradient established during coupling to the model P cell with a high plateau yielded a relatively low magnitude, repolarizing Ic (Fig. 8B) during the plateau. This coupling current directly caused the reduction in Vpp of the model V cell, which, in turn, caused a small voltage-dependent increase in peak ICa (Fig. 8C) and a small voltage-dependent decrease in IK (Fig. 8D) throughout the plateau. Once the P and V action potentials crossed over during late phase 2 and early phase 3 (see Fig. 6B), the coupling current became depolarizing, thus prolonging the V action potential and broadening IK, relative to the uncoupled case. Because phase 3 repolarization was slower and later relative to the uncoupled V action potential, IK1 was broader and peaked later for the high P plateau case (Fig. 8E).


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Fig. 8.   Simulated V action potentials [transmembrane potential (Vm); A], Ic (B), L-type Ca2+ current (ICa; C), delayed rectifier current (IK; D), and inward rectifier current (IK1; E) when model V cell was uncoupled from model P cell (solid traces marked uncoupled), coupled to a model P cell with a high plateau (dotted traces marked high P plateau), and coupled to a model P cell with a low plateau (dashed traces marked low P plateau). Action potentials shown for these 3 cases are same as those shown in Fig. 6.

When coupled to the model P cell with a low plateau, the V action potential had pronounced decreases in Vpp and APD. Consistent with the experiments (Fig. 7A), the large gradient between the P and V plateau potentials served as the driving force for a large repolarizing Ic just after the V action potential peak and throughout the plateau. This large coupling current markedly reduced Vpp, first causing a large voltage-dependent increase in peak ICa and decrease in IK and then contributing to early inactivation of ICa. Again, once Vm,v fell below Vm,p, Ic reversed direction and became a depolarizing current to the model V cell. Despite its tendency to delay repolarization during the late stages of the V action potential, the coupling current was still ultimately responsible for the coupling-induced shortening of the V action potential because it lowered Vm,v into the voltage range for activation of IK1. Early activation of IK1 accelerated repolarization of the model V cell when coupled to the model P cell with a low plateau.


    DISCUSSION
Top
Abstract
Introduction
Materials and methods
Results
Discussion
References

New observations. Results from the present study indicate that direct electrical coupling of a rabbit Purkinje myocyte to a rabbit ventricular myocyte shortened APDs of both cells. This result was surprising initially because electrotonic modulation of repolarization typically is thought to result in shortening of the intrinsically longer action potential and prolongation of the intrinsically shorter action potential (15, 27, 35, 42). In those previous studies, electrotonic interactions during late repolarization induced repolarizing current to flow into cells with longer intrinsic APDs and depolarizing current to flow into cells with shorter intrinsic APDs. This subsequently yielded action potentials of intermediate duration. However, in the present study, the large difference between the P and V plateau potentials induced a significant coupling current during early repolarization. This coupling current accelerated repolarization in both cells.

Current injection during plateau. The accelerated repolarization caused by the coupling current observed in the present study is consistent with previous reports of altered repolarization induced by current injection during the action potential plateau (9, 18, 41, 45). For example, Kass and Tsien (18) showed that small depolarizing pulses applied early in the plateau shortened APD in calf Purkinje fibers by promoting greater activation of IK and accelerating inactivation of ICa. Similarly, small repolarizing pulses prolonged APD. However, a large repolarizing pulse may shorten APD dramatically when "all-or-nothing" repolarization is induced (9, 41, 45). Those early reports described all-or-nothing repolarization as the immediate return of the membrane to its resting potential when a large repolarizing pulse was applied.

In the present study, the coupling current induced by the difference in P and V plateau potentials functioned as a repolarizing pulse during the plateau of the V action potential. In seven of eight PV myocyte pairs, this "pulse" was large enough to accelerate repolarization of the V myocyte. The peak magnitude of this coupling current averaged 0.32 ± 0.11 nA in these seven PV myocyte pairs at Rj = 50 MOmega . Adding 4-AP to the bathing solution in two experiments reduced the potential gradient between the P and V myocytes, thereby reducing peak Ic to 0.09 ± 0.07 nA. Similarly, peak Ic generated during VV' interactions, which prolonged the shorter action potential and shortened the longer action potential, was only 0.06 ± 0.04 nA. Note that Ic was only a repolarizing current to the V myocyte while Vm,v remained above Vm,p. Once Vm,v repolarized below Vm,p, Ic became a small depolarizing current to the V myocyte. This depolarizing Ic did not prolong the ventricular action potential, however, because final repolarization of the V action potential had already begun.

Membrane resistance and electrical load. Asymmetries in the coupling-induced changes to the P and V action potentials (e.g., larger increase in Purkinje Vpp than decrease in ventricular Vpp) were likely caused by the mismatch in P and V membrane resistances. In the present study, we measured diastolic membrane resistance by applying small hyperpolarizing currents from the resting potential. The membrane resistance of the P cells (Rm,p) averaged 85 ± 21 MOmega , and the membrane resistance of the V cells (Rm,v) averaged 24 ± 14 MOmega . These values were consistent with previously reported values (4, 12). Because the coupling current applied to each cell of a PV cell pair was of equal and opposite magnitude, the larger coupling-induced change in Vm,p reflected the larger Rm,p. Note that the membrane resistance changes over the course of the action potential, so diastolic membrane resistance is a measure only of how the membrane potential will change with a current applied during phase 4. Although we know that Rm progressively increases and comes to a peak during phase 3 of the action potential (45), there have been no systematic comparisons of the differences in the time courses of Rm,p and Rm,v to date.

Previous studies have characterized the "electrical load" associated with directional differences in conduction (12, 16) or electrotonic modulation of pacemaker activity (34, 43) between two regions as the ratio of membrane resistances of those regions. Conduction is favored in the direction of small Rm to large Rm (whether the Rm differences are caused by size and/or intrinsic membrane currents) because a region with a larger Rm will require less current to achieve the same voltage change (i.e., to reach threshold) than will a region with a smaller Rm (12, 16). Similarly, when cells with unequal resting potentials are coupled, the resting potentials of both cells are electrotonically modulated such that they come to an intermediate value. However, that value will be closer to the intrinsic value of the cell with the lower Rm because for the same applied coupling current, the cell with the lower Rm will experience less of a voltage change (34). Thus these electrotonic interactions will typically be "dominated" by the cell or region with the lower input resistance. The input resistance, of course, will depend on the relative sizes of the regions and any intrinsic differences in ionic currents. Because Rm,v was lower than Rm,p, Purkinje-ventricular interactions were dominated by the V myocyte. Specifically, in the present study, electrotonic modulation of the P and V action potentials resulted in Vpp and APD values that were nearer the intrinsic values of the V myocyte than the P myocyte.

Ito and plateau potential. Our studies show that the repolarizing current applied to the V myocyte was a direct result of the large potential gradient formed by the low P plateau and the high V plateau. This difference in plateau potentials is directly related to the difference in Ito density in these myocytes. Specifically, in rabbit P myocytes, the 4-AP-sensitive component of Ito has a peak current density of 14 pA/pF (4), and in rabbit papillary muscle myocytes, peak Ito density is 3.69 pA/pF (6). Because the difference in Vpp of the uncoupled myocytes is largely caused by intrinsic differences in Ito density, it follows that the difference in Vpp can be reduced by interventions that reduce the difference in Ito density. The Ca2+-independent component of Ito was selectively inhibited by 2 mM 4-AP, and in the present study we showed that by raising the P plateau, 4-AP prevented coupling-modulated shortening of the V action potential.

A change in cycle length will also differentially modulate the P and V action potentials (37), largely because of the intrinsic differences in Ito (4). Because recovery of Ito from inactivation is slow, the magnitude of Ito is smaller at faster rates (7). Although we did not alter the cycle length in the present study, on the basis of our findings, we expect that an increase in the rate of stimulation would reduce peak Ito, subsequently raising the P plateau and decreasing the driving force for coupling current. However, it is unlikely that a moderate increase in the stimulation rate would prevent coupling-modulated shortening of the V action potential, because only a 20% decrease in Ito would be expected with a change in cycle length from 1 to 0.5 s (4).

Coupling-induced changes to ICa, IK, and IK1. Although the only experimental modification to the ionic currents considered in the present study was inhibition of Ito by 4-AP, our simulations suggested specific coupling-induced changes to the time course and magnitude of currents dominant during phases 2 and 3. Coupling-induced changes to the magnitude of ICa observed in the present study were consistent with changes generally associated with slow conduction in VV' myocyte pairs (16, 19, 36). In those studies, early partial repolarization of the stimulated leader cell caused by electrical loading by the nonstimulated follower cell induced a large ICa only in the leader cell during conduction (19). In the present study, although the P and V myocytes were simultaneously stimulated to eliminate electrotonic interactions during conduction, the P myocyte imposed an electrical load on the V myocyte because of the large difference in Vpp between the action potentials. This load induced a much larger ICa when the P plateau was low than when the cells were uncoupled or when the P plateau was high (Fig. 8). Studies in isolated rat and rabbit ventricular myocytes also showed an increase in peak ICa when repolarization was accelerated by action potential voltage clamps (1, 46). In the present study, coupling additionally caused a voltage-dependent reduction in IK. Although the combination of increased ICa and decreased IK is generally expected to prolong ventricular APD, the coupling current induced accelerated repolarization by forcing Vm,v into the voltage range for activation of IK1, initiating final repolarization and thereby shortening the ventricular APD.

Clearly, ventricular repolarization depended not only on the intrinsic ionic currents flowing through the V cell membrane but also on the coupling current that resulted from potential differences between the P and V cells. Neglecting the contributions of other ionic currents (such as the sodium-calcium exchange current, the sodium-potassium pump current, etc.), we can write the total membrane current (Im) flowing through the V cell as Im = ICa + IK + IK1 + Ic. By convention, Vm,v increases (depolarizes) when Im is negative and decreases (repolarizes) when Im is positive. From Fig. 8, the ventricular APD prolonged on coupling to the P cell with a high plateau because 1) the inward current (ICa) approximately balanced the outward currents (IK and Ic) during the plateau, keeping the plateau relatively high so that 2) IK1 did not activate early, and reversal of Ic delayed final repolarization. Conversely, the ventricular APD shortened on coupling to the P cell with a low plateau because 1) the outward currents (IK, but particularly Ic) were larger than the inward current (ICa), resulting in a rapid decline of Vm,v during the plateau, so that 2) IK1 activated early, accelerating repolarization despite the reversal of Ic during phase 3.

Limitations. Our results must be considered within certain limitations. For example, we represented the PVJ simply, as one electrical connection between a single P myocyte and a single V myocyte. Within the syncytium, however, there is a network of PVJs with multidimensional interactions. This complex structure, in concert with intrinsic differences in P and V membrane properties, determines the distribution of APD across the PVJ. However, we wanted to eliminate the structural complexities, so that we could focus on how the intrinsic differences in action potential configuration contribute to dispersion of APD across the high resistance barrier at the PVJ (30, 39). Thus we represented the PVJ in this most basic of structures so that we could record the intrinsic, uncoupled action potentials and the changes to the action potentials induced by electrical coupling. With this preparation, we were also able to vary Rj between the myocytes, which cannot be accomplished within a syncytial preparation without affecting other membrane properties.

Nearly all previous syncytial studies on P-V interactions have used false tendon and Purkinje fiber-papillary muscle preparations from the canine heart (25-27, 42). In these studies, investigators observed prolongation of the ventricular APD at the junction, whereas we observed shortening of the ventricular APD. A possible explanation for this difference is the species dependence of the P action potential configuration. Phase 1 repolarization is less pronounced in canine P fibers, because the plateau potential is typically above or near 0 mV (11, 33). As demonstrated in Figs. 5-7, a higher plateau results in modulation of the action potentials to durations intermediate to the intrinsic APDs. In our isolated P myocytes, the mean plateau potential was approximately -20 mV (Fig. 4B). This low Vpp was not a consequence of the cell isolation procedure because similar action potential configurations have been recorded from intact rabbit P fibers. Colatsky and Tsien (3) documented a mean plateau potential of -22 mV in 15 intact Purkinje fibers from rabbit hearts, indicating that the low P plateau in rabbits is a result of the balance between the ionic currents dominant during phase 1. Because no studies on modulation of repolarization have used the rabbit PVJ to date, it is unclear what the distribution of APD is in the syncytium of this preparation.

Limitations of the computational studies include the mathematical models used to represent the P and V membrane properties. These models were not developed from rabbit heart cell data. Although there is a rabbit atrial cell model (23), there are no P or V models developed solely from rabbit heart cell data. The DN model incorporates data from several species, whereas the LRd model was developed from guinea pig ventricular myocytes. A specific limitation of the DN model that is pertinent to the present study is the description of Ito. There are two components of Ito in rabbit P myocytes, a 4-AP-sensitive component and a Ca2+-dependent component (7). Though only one lumped Ito is described in the DN model, we were able to vary the magnitude of this current to model P action potentials with values of Vpp that closely approximated the experimental recordings. Similarly, a specific limitation of the LRd model pertinent to the present study is the species dependence of Ito. Because the LRd model was formulated from guinea pig heart cell data, no description of Ito is provided in the model. However, the phase 1 repolarization attributed to Ito in rabbit V myocytes is small and variable (4, 7) and likely does not contribute to coupling-induced shortening of the V action potential. Furthermore, Varro et al. (40) showed that the action potentials and membrane currents during repolarization were similar in guinea pig and rabbit ventricular myocytes. Thus, although the simulation results are necessarily qualitative in nature, the intrinsic differences in plateau potentials and action potential durations in the DN and LRd models allowed us to use the simulations to suggest mechanisms for the seemingly paradoxical shortening of the ventricular APD on coupling. Specifically, the intrinsic difference in plateau potentials caused by intrinsic differences in Ito density induced a large repolarizing coupling current in the V myocyte and subsequently led to accelerated repolarization in both myocytes on coupling.

Implications. At the PVJ, the arrangement of cells is complex. A thin layer of Purkinje cells is connected to a much thicker layer of ventricular cells via either strands or strands and sheets of transitional cells (39). Although the transitional cells have been histologically characterized (25, 39), little is known about their ionic membrane properties because there is no documented method for isolating the transitional cells at this time. The transitional cell layer is thought to act largely as a high-resistance barrier between the P and V layers (17, 30), so we modeled this function of the transitional cells as a large Rj between the P and V myocytes. Teleologically, this high-resistance barrier may prevent arrhythmogenesis by isolating the P layer from the ventricular load, thus allowing rapid activation of the subendocardial layer (14, 30). However, under pathological conditions (8, 13, 29, 30, 42, 44), the resistive barrier may promote unidirectional (P-to-V) conduction block (12). Furthermore, differing patterns of APD shortening or prolongation within the network of subendocardial PVJs could promote dispersion of repolarization, leaving some PVJs vulnerable to conduction of premature stimuli while other PVJs remain refractory. In this setting, impulses that block at some PVJs but not others may reenter the Purkinje network retrogradely (V-to-P conduction) at the sites of initial P-to-V block, thereby initiating circus movement reentry (8, 31).


    ACKNOWLEDGEMENTS

The authors thank Kate Sreenan for assistance with the statistics, Massimiliano Zaniboni for assistance with the animal preparation, and Adam Cates for helpful comments and suggestions on the manuscript.


    FOOTNOTES

This work was supported by the Board of Regents of Louisiana under Education Quality Support Funds GF-15 to D. J. Huelsing; the National Science Foundation under National Young Investigator Award BES-9457212, the Whitaker Foundation Special Opportunities Award to the University of Alabama-Birmingham and the Department of Biomedical Engineering, and the US Public Health Service under Grant R29-HL54024 to A. E. Pollard; National Heart, Lung, and Blood Institute Grants HL-42873, HL-42357, and HL-17682 and awards from the Nora Eccles Treadwell Foundation and the Richard A. and Nora Eccles Harrison Fund for Cardiovascular Research to K. W. Spitzer; and a Research Fellowship from both the Heart and Stroke Foundation of Canada and the Alberta Heritage Foundation for Medical Research to J. M. Cordeiro.

The costs of publication of this article were defrayed in part by the payment of page charges. The article must therefore be hereby marked "advertisement" in accordance with 18 U.S.C. §1734 solely to indicate this fact.

Address for reprint requests: D. J. Huelsing, Cardiac Rhythm Management Lab, Univ. of Alabama-Birmingham, Volker Hall B140, 1670 University Blvd., Birmingham, AL 35294.

Received 2 April 1998; accepted in final form 19 October 1998.


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Top
Abstract
Introduction
Materials and methods
Results
Discussion
References

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