Ionic mechanism of delayed afterdepolarizations in ventricular cells isolated from human end-stage failing hearts.

BACKGROUND: Animal studies have shown that the Ca(2+)-activated Cl(-) current (I(Cl(Ca))) and the Na(+)/Ca(2+) exchange current (I(Na/Ca)) contribute to the transient inward current (I(ti)). I(ti) is responsible for the proarrhythmic delayed afterdepolarizations (DADs). We investigated the ionic mechanism of I(ti) and DADs in human cardiac cells. METHODS AND RESULTS: Human ventricular cells were enzymatically isolated from explanted hearts of patients with end-stage heart failure and studied with patch-clamp methodology. I(ti)s were elicited in the presence of 1 micromol/L norepinephrine by trains of repetitive depolarizations from -80 to +50 mV. DADs were induced in the presence of 1 micromol/L norepinephrine at a stimulus frequency of 1 Hz. I(ti) currents were inwardly directed over the voltage range between -110 and + 50 mV. Neither the Cl(-) channel blocker 4,4'-diisothiocyanatostilbene-2,2'-disulfonic acid nor changes in [Cl(-)](i) affected I(ti) or DAD amplitude. This excludes an important role for I(Cl(Ca)). Blockade of Na(+)/Ca(2+) exchange by substitution of all extracellular Na(+) by Li(+), conversely, completely inhibited I(ti). In rabbit, I(Cl(Ca)) density in ventricular cells isolated from control hearts did not differ significantly from that in ventricular cells isolated from failing hearts. CONCLUSIONS: In contrast to many animal species, I(ti) and DADs in human ventricular cells from failing hearts consist only of I(Na/Ca). In rabbits, heart failure per se does not alter I(Cl(Ca)) density, suggesting that I(Cl(Ca)) may also be absent during DADs in nonfailing human ventricular cells.

Role of Ca(2+)-activated Cl(-) current in ventricular action potentials of sheep during adrenoceptor stimulation.

Adrenoceptor stimulation enhances repolarising and depolarising membrane currents to different extents in cardiac myocytes. We investigated the opposing effects of the repolarising Ca(2+)-activated Cl(-) current (I(Cl(Ca))) and depolarising L-type Ca(2+) current (I(Ca,L)) on the action potential configuration of sheep ventricular myocytes stimulated with noradrenaline. Whole-cell current-clamp recordings revealed that noradrenaline accelerated and prolonged phase-1 repolarisation. We define the minimal potential at the end of phase-1 repolarisation as "notch level". Noradrenaline (1 microM) caused the notch level to fall from 14 +/- 2.6 to 7.8 +/- 2.8 mV (n = 24), but left action potential duration, resting membrane potential or action potential amplitude unaffected. Whole-cell voltage-clamp recordings showed that 1 microM noradrenaline increased both I(Ca,L) and I(Cl(Ca)), but it had no significant effect on the principal K(+) currents. Blockage of I(Cl(Ca)) by 0.5 mM 4,4'-diisothiocyanatostilbene-2,2'-disulphonic acid (DIDS) in both the absence and the presence of noradrenaline abolished phase-1 repolarisation. In the presence of noradrenaline, DIDS caused elevation of the plateau phase amplitude and an increase in the action potential duration. In conclusion, elevation of the plateau phase amplitude and action potential prolongation associated with an increased I(Ca,L) upon adrenoceptor stimulation is prevented by an increased I(Cl(Ca)) in sheep ventricular myocytes. Experimental Physiology (2001) 86.2, 151-159.

Effects of cell-to-cell uncoupling and catecholamines on Purkinje and ventricular action potentials: implications for phase-1b arrhythmias.

OBJECTIVE: The delayed phase of ventricular arrhythmias during acute ischemia (phase-1b arrhythmia) is associated with depletion of catecholamines and cell-to-cell uncoupling between depressed depolarized intramural ischemic region and surviving cells in subepicardium and subendocardium. In the present study we determined the effects of uncoupling and catecholamines on development of proarrhythmic afterdepolarizations. METHODS: Depressed depolarized ischemic region was simulated by a passive electronic circuit with a potential of -73, -53, -33 or -13 mV. Using patch-clamp methodology, single sheep Purkinje and ventricular cells were coupled to the simulated ischemic region via a variable conductance. By varying coupling conductance, we were able to selectively study the effects of various degrees of uncoupling. RESULTS: At strong coupling, cells were inexcitable and depolarized to potentials near those of the simulated ischemic region. Excitability, action potential duration and resting potential increased with progressive uncoupling. In a critical range of uncoupling, ventricular and "high-plateau" Purkinje cells developed early afterdepolarizations when the potential of the simulated ischemic region was -13 mV. Norepinephrine (1 microM) frequently induced early and delayed afterdepolarizations in both ventricular and Purkinje cells, but these afterdepolarizations were only present during uncoupling when the potential of the simulated ischemic region was -33 mV or more positive. CONCLUSIONS: In a critical range of uncoupling, afterdepolarizations were present when the potential of the simulated ischemic region was -33 or -13 mV, suggesting that triggered activity plays a role in phase-1b arrhythmias when surviving layers uncouple from a highly depolarized intramural ischemic region.

Norepinephrine induces action potential prolongation and early afterdepolarizations in ventricular myocytes isolated from human end-stage failing hearts.

AIMS: Congestive heart failure is characterized by high levels of norepinephrine which is considered to be arrhythmogenic. It is unclear whether increased norepinephrine is only a marker of the severity of heart failure or whether it directly triggers ventricular arrhythmias. METHODS AND RESULTS: Ventricular myocytes were isolated from eight explanted hearts of patients with end-stage heart failure (ischaemic or dilated cardiomyopathy). With the whole-cell configuration of the patch-clamp technique the effect of 1 micromol x l(-1)norepinephrine on action potentials and membrane currents was studied. The cells had a membrane capacitance of 256 +/- 25 pF (n = 26) and action potential duration (APD90) during control conditions was 620 +/- 45 ms at 1 Hz (n = 14). Norepinephrine induced action potential prolongation in all cells and early afterdepolarizations in 50% of them. Norepinephrine significantly increased the calcium current but had no effect on the delayed rectifier current, the inward rectifier current or the transient outward current. Norepinephrine also significantly increased the steady-state calcium window-current measured between -40 and 0 mV. CONCLUSIONS: In contrast to many animal species, norepinephrine induces action potential prolongation in ventricular myocytes from human failing hearts, as well as early afterdepolarization, by an increase in both the calcium peak current and window current. Thus norepinephrine seems to be an important arrhythmogenic factor in congestive heart failure.

Cl- current blockade reduces triggered activity based on delayed afterdepolarisations.

OBJECTIVES: Increasing evidence suggests that a Ca2+-activated Cl- current (ICl(Ca)) contributes to the transient inward current (Iti), the current responsible for proarrhythmic delayed after-depolarisations (DADs). Because the equilibrium potential for Cl- ions (ECl) in myocytes is around - 50 mV, activation of the ICl(Ca) results in an inward depolarising current at resting membrane potential and ICl(Ca) may thus be responsible for a part of the depolarisation during a DAD. In this study, we investigated the ionic nature of Iti and the effects of Cl- current blockade on DADs. METHODS AND RESULTS: The ionic mechanisms of Iti and underlying DADs were studied in sheep ventricular myocytes using the patch-clamp methodology. The DADs were induced in the myocytes by exposure to 1 µM noradrenaline and the Iti were elicited by repetitive depolarisations from -93 mV to +37 mV in the presence of the drug. The current-voltage relation of Iti reversed in sign around -20 mV. The outward Iti was completely blocked by the anion current blocker 4,4'-diisothiocyanatostilbene-2,2'-disulphonic acid (DIDS), whereas the inward Iti was only slightly affected. The DIDS-sensitive component of Iti was outwardly rectifying with a reversal potential close to ECl. The DIDS-insensitive component of Iti was abolished by blockade of the Na+-Ca2+ exchanger by substitution of extracellular Na+ by equimolar Li+. Interestingly, DIDS reduced the DAD amplitude and triggered activity based on DADs. CONCLUSION: In sheep ventricular myocytes, Iti consists of two ionic mechanisms: a Cl- current and a Na+-Ca2+ exchange current. Blockade of the Cl- current may be potentially antiarrhythmic by lowering DAD amplitude and triggered activity based on DADs.

Calcium-activated Cl(-) current contributes to delayed afterdepolarizations in single Purkinje and ventricular myocytes.

BACKGROUND: The ionic mechanism underlying the transient inward current (I(ti)), the current responsible for delayed afterdepolarizations (DADs), appears to be different in ventricular myocytes and Purkinje fibers. In ventricular myocytes, I(ti) was ascribed to a Na(+)-Ca(2+) exchange current, whereas in Purkinje fibers, it was additionally ascribed to a Cl(-) current and a nonselective cation current. If Cl(-) current contributes to I(ti) and thus to DADs, Cl(-) current blockade may be potentially antiarrhythmogenic. In this study, we investigated the ionic nature of I(ti) in single sheep Purkinje and ventricular myocytes and the effects of Cl(-) current blockade on DADs. METHODS AND RESULTS: In whole-cell patch-clamp experiments, I(ti) was induced by repetitive depolarizations from -93 to +37 mV in the presence of 1 micromol/L norepinephrine. In both Purkinje and ventricular myocytes, I(ti) was inward at negative potentials and outward at positive potentials. The anion blocker 4,4'-diisothiocyanatostilbene-2,2'-disulfonic acid (DIDS) blocked outward I(ti) completely but inward I(ti) only slightly. The DIDS-sensitive component of I(ti) was outwardly rectifying, with a reversal close to the reversal potential of Cl(-) currents. Blockade of Na(+)-Ca(2+) exchange by substitution of extracellular Na(+) by equimolar Li(+) abolished the DIDS-insensitive component of I(ti). DIDS reduced both DAD amplitude and triggered activity based on DADs. Conclusions-In both Purkinje and ventricular myocytes, I(ti) consists of 2 ionic mechanisms: a Cl(-) current and a Na(+)-Ca(2+) exchange current. Blockade of the Cl(-) current may be potentially antiarrhythmogenic by lowering DAD amplitude and triggered activity based on DADs.

Injury current modulates afterdepolarizations in single human ventricular cells.

OBJECTIVE: Injury current (I(injury)) and afterdepolarizations are thought to play an important role in arrhythmias that occur during acute ischemia. However, little is known about the effects of I(injury) on afterdepolarizations. The present study was designed to study the effect of I(injury) on afterdepolarizations and action potentials in single human ventricular cells. METHODS: The patch-clamp technique was used to record action potentials and to apply I(injury) to human ventricular cells. In these cells, early and delayed afterdepolarizations (EADs and DADs) were induced by 1 microM norepinephrine. I(injury) was simulated by coupling cells via a variable coupling resistance to a passive resistance circuit with a potential of 0, -20, or -40 mV, mimicking a depolarized ischemic region. RESULTS: At all potentials, I(injury) induced depolarization of the resting membrane potential and action potential shortening. Flowing from 0 mV, I(injury) induced EADs by itself and aggravated the EADs and DADs that were induced by norepinephrine. Flowing from -40 mV, I(injury) abolished the noradrenaline-induced EADs and DADs. CONCLUSIONS: Our results demonstrate that I(injury) may either prevent or promote the occurrence of afterdepolarizations in human ventricle. The latter holds if conduction is slowed to such an extent that it permits flow of current from depolarized ischemic cells at plateau level to cells in phase 3 or phase 4.

Two types of action potential configuration in single cardiac Purkinje cells of sheep.

Membrane potentials and currents of isolated sheep Purkinje and ventricular cells were compared using patch-clamp and microelectrode techniques. In approximately 50% of Purkinje cells, we observed action potentials that showed a prominent phase 1 repolarization and relatively negative plateau (LP cells). Action potential configuration of the remaining Purkinje cells was characterized by little phase 1 repolarization and relatively positive plateau (HP cells). Microelectrode impalement of Purkinje strands also revealed these two types of action potential configuration. In LP cells, the density of L-type Ca(2+) current (I(Ca,L)) was lower, whereas the density of transient outward K(+) current was higher, than in HP cells. Action potentials of HP cells strongly resembled those of ventricular cells. Densities of inward rectifier current and I(Ca,L) were significantly higher in ventricular cells compared with densities in both LP and HP Purkinje cells. Differences in current densities explain the striking differences in action potential configuration and the stimulus frequency dependency thereof that we observed in LP, HP, and ventricular cells. We conclude that LP Purkinje cells, HP Purkinje cells, and ventricular cells of sheep each have a unique action potential configuration.

Decreased inward rectifier current in adult rabbit ventricular myocytes maintained in primary culture: a single-channel study.

OBJECTIVE: Regulation of ion channel function in heart has been shown to be affected by changes in the cellular environment. Recently it was shown that rabbit ventricular myocytes kept in primary culture, show a strong reduction in inward rectifier current (IK1). The aim of the present study was to elucidate the mechanism underlying this decrease in IK1, using single-channel measurements. In addition, we studied the effects of primary culture on the ATP-regulated K+ (K.ATP) channel, also a member of the inwardly rectifying K+ channel family. METHODS: Adult rabbit ventricular myocytes were cultured for up to 3 days in Ham's F-10 medium complemented with 1% rabbit serum and 5% glutamine. IK1 and K.ATP channel activity was studied in the inside-out patch configuration of the patch-clamp technique with equimolar K+ concentrations (140 mM K+) on the intra- and extracellular side. Single channel characteristics were determined at various times during culture and compared to those present in freshly isolated myocytes. RESULTS: IK1 channels in freshly isolated myocytes (day 0) had a single-channel conductance of 56.1 +/- 2.5 pS (mean +/- SEM) and an open probability of 0.64 +/- 0.05 (mean +/- SEM). Neither the single-channel conductance nor the open probability (Po) underwent significant changes during culture. The mean number of channels per patch, however, was drastically reduced from 1.2 +/- 0.3 (mean +/- SEM) at day 0 to 0.17 +/- 0.06 at day three. K.ATP channel density and open probability, on the other hand, were both increased with an optimum at day two. Po increased from 0.27 +/- 0.06 at day 0 to 0.63 +/- 0.06 at day three. The mean number of channels per patch was 2.29 +/- 0.57 and 3.25 +/- 0.48 at days 0 and 3 respectively. The unitary current amplitude at -50 mV remained unchanged, suggesting no change in the K.ATP single-channel conductance. CONCLUSIONS: The decrease in IK1 in rabbit ventricular myocytes as has been observed during primary culture is the result of a reduction in the number of active channels and not of altered kinetic or conductive channel properties. The increase in K.ATP channel activity under the same conditions suggests that gene expression of both channel types is differently regulated.

Contribution of L-type Ca2+ current to electrical activity in sinoatrial nodal myocytes of rabbits.

The role of L-type calcium current (ICa,L) in impulse generation was studied in single sinoatrial nodal myocytes of the rabbit, with the use of the amphotericin-perforated patch-clamp technique. Nifedipine, at a concentration of 5 microM, was used to block ICa,L. At this concentration, nifedipine selectively blocked ICa,L for 81% without affecting the T-type calcium current (ICa,T), the fast sodium current, the delayed rectifier current (IK), and the hyperpolarization-activated inward current. Furthermore, we did not observe the sustained inward current. The selective action of nifedipine on ICa,L enabled us to determine the activation threshold of ICa,L, which was around -60 mV. As nifedipine (5 microM) abolished spontaneous activity, we used a combined voltage- and current-clamp protocol to study the effects of ICa,L blockade on repolarization and diastolic depolarization. This protocol mimics the action potential such that the repolarization and subsequent diastolic depolarization are studied in current-clamp conditions. Nifedipine significantly decreased action potential duration at 50% repolarization and reduced diastolic depolarization rate over the entire diastole. Evidence was found that recovery from inactivation of ICa,L occurs during repolarization, which makes ICa,L available already early in diastole. We conclude that ICa,L contributes significantly to the net inward current during diastole and can modulate the entire diastolic depolarization.

Effects of ischemia on discontinuous action potential conduction in hybrid pairs of ventricular cells.

BACKGROUND: Acute ischemia often occurs in cardiac tissue that has prior injury, resulting in spatially inhomogeneous distributions of membrane properties and intercellular coupling. Changes in action potential conduction with ischemia, which can be associated with release of catecholamines, may be particularly important in tissue that has discontinuous conduction resulting from prior infarction, hypertrophy, or myopathy. METHODS AND RESULTS: Isolated guinea pig ventricular myocytes were electrically coupled by a coupling-clamp circuit to a comprehensive computer model of a guinea pig ventricular myocyte to assess alterations in the critical value of coupling conductance required for action potential conduction from the real cell to the model cell when the real cell was exposed to a solution that included hypoxia, acidosis, and an elevated extracellular potassium concentration to simulate acute ischemia. The "ischemic" solution increased critical coupling conductance from 6.2+/-0.1 to 7.4+/-0.2 nS and decreased the associated maximum conduction delay from 31+/-1 to 23+/-1 ms (mean+/-SEM, n=11). The ischemic solution plus 1 micromol/L norepinephrine decreased critical coupling conductance from 5.9+/-0.2 to 5.0+/-0.1 nS and increased maximum conduction delay from 31+/-2 to 54+/-4 ms (mean+/-SEM, n=8). CONCLUSIONS: The release of catecholamines with ischemia, in a setting of partially uncoupled cells, may play a major role in producing long conduction delays, which may allow reentrant pathways.

Electrical interactions among real cardiac cells and cell models in a linear strand.

Previous work with model systems for action potential conduction have been restricted to conduction between two real cells or conduction between a model cell and a real cell. The inclusion of additional elements to make a linear strand has allowed us to investigate the interactions between cells at a higher level of complexity. When, in the simplest case of a linear strand of three elements, the conductance between elements 2 and 3 (GC2) is varied, this affects the success or failure of propagation between elements 1 and 2 (coupled by GC1) as well as the success or failure of propagation between elements 2 and 3. Several major features were illustrated. 1) When GC1 was only slightly greater than the coupling conductance required for successful propagation between a model cell and a real cell, addition of a third element of the strand either prevented conduction from element 1 to element 2 (when GC2 was high) or allowed conduction from element 1 to element 2 but not conduction from element 2 to element 3 (when GC2 was low). 2) For higher levels of GC1, there was an allowable "window" of values of GC2 for successful conduction from element 1 through to element 3. The size of this allowable window of GC2 values increased with increasing values of GC1, and this increase was produced by increases in the upper bound of GC2 values. 3) When the size of the central element of the strand was reduced, this facilitated conduction through the strand, increasing the range of the allowable window of GC2 values. The overall success or failure of conduction through a structure of cells that has a spatially inhomogeneous distribution of coupling conductances cannot be predicted simply by the average or the minimum value of coupling conductance but may depend on the actual spatial distribution of these conductances.

Human SCN5A gene mutations alter cardiac sodium channel kinetics and are associated with the Brugada syndrome.

BACKGROUND: Primary dysrhythmias other than those associated with the long QT syndrome, are increasingly recognized. One of these are represented by patients with a history of resuscitation from cardiac arrest but without any structural heart disease. These patients exhibit a distinct electrocardiographic (ECG) pattern consisting of a persistent ST-segment elevation in the right precordial leads often but not always accompanied by a right bundle branch block (Brugada syndrome). This syndrome is associated with a high mortality rate and has been shown to display familial occurrence. METHODS AND RESULTS: Pharmacological sodium channel blockade elicits or worsens the electrocardiographic features associated with this syndrome. Hence, a candidate gene approach directed towards SCN5A, the gene encoding the alpha-subunit of the cardiac sodium channel, was followed in six affected individuals. In two patients missense mutations were identified in the coding region of the gene: R1512W in the DIII-DIV cytoplasmic linker and A1924T in the C-terminal cytoplasmic domain. In two other patients mutations were detected near intron/exon junctions. To assess the functional consequences of the R1512W and A1924T mutations, wild-type and mutant sodium channel proteins were expressed in Xenopus oocytes. Both missense mutations affected channel function, most notably a 4-5 mV negative voltage shift of the steady-state activation and inactivation curves in R1512W and a 9 mV negative voltage shift of the steady-state activation curve in A1924T, measured at 22 degrees C. Recovery from inactivation was slightly prolonged for R1512W channels. The time dependent kinetics of activation and inactivation at -20 mV were not significantly affected by either mutation. CONCLUSIONS: Two SCN5A mutations associated with the Brugada syndrome, significantly affect cardiac sodium channel characteristics. The alterations seem to be associated with an increase in inward sodium current during the action potential upstroke.

Electrical interactions between a rabbit atrial cell and a nodal cell model.

Atrial activation involves interactions between cells with automaticity and slow-response action potentials with cells that are intrinsically quiescent with fast-response action potentials. Understanding normal and abnormal atrial activity requires an understanding of this process. We studied interactions of a cell with spontaneous activity, represented by a "real-time" simulation of a model of the rabbit sinoatrial (SA) node cell, simultaneously being electrically coupled via our "coupling clamp" circuit to a real, isolated atrial myocyte with variations in coupling conductance (Gc) or stimulus frequency. The atrial cells were able to be driven at a regular rate by a single SA node model (SAN model) cell. Critical Gc for entrainment of the SAN model cell to a nonstimulated atrial cell was 0.55 +/- 0.05 nS (n = 7), and the critical Gc that allowed entrainment when the atrial cell was directly paced at a basic cycle length of 300 ms was 0.32 +/- 0.01 nS (n = 7). For each atrial cell we found periodic phenomena of synchronization other than 1:1 entrainment when Gc was between 0.1 and 0.3 nS, below the value required for frequency entrainment, when the atrial cell was directly driven at a basic cycle length of either 300 or 600 ms. In conclusion, the high input resistance of the atrial cells allows successful entrainment of nodal and atrial cells at low values of Gc, but further uncoupling produces arrhythmic interactions.

Quantitative analysis of dual whole-cell voltage-clamp determination of gap junctional conductance.

The dual whole-cell voltage-clamp technique is used widely for determination of kinetics and conductance of gap junctions. The use of this technique may, however, occasion to considerable errors. We have analysed the errors in steady state junctional conductance measurements under different experimental conditions. The errors in measured junctional conductance induced by series resistance alone, and by series resistance in combination with membrane resistance, were quantified both theoretically and experimentally, on equivalent resistive circuits with known resistance values in a dual voltage-clamp setup. We present and analyse a method that accounts for series resistance and membrane resistance in the determination of true junctional conductance. This method requires that series resistance is determined during the experiment, and involves some calculations to determine membrane resistance. We demonstrate that correction for both membrane and series resistance reduces the error in measured junctional conductance to near zero, even when membrane resistances on both sides of the gap junction are as low as 20 MOmega and the (true) junctional conductance is as high as 100 nS.

Distribution of atrial and nodal cells within the rabbit sinoatrial node: models of sinoatrial transition.

BACKGROUND: In the sinoatrial node (SAN) the course of the action potential gradually changes from the primary pacemaker region toward the atrium. It is not known whether this gradient results from different intrinsic characteristics of the nodal cells, from an increasing electrotonic interaction with the atrium, or from both. Therefore we have characterized the immunohistochemical, morphological, and electrophysiological correlates of this functional gradient. METHODS AND RESULTS: The distribution of rabbit nodal myocytes in the SAN has been studied by immunohistochemistry. After cell isolation, the electrophysiological characteristics of different nodal cell types were measured. (1) The staining pattern of a neurofilament protein coincides with the electrophysiologically mapped pacemaker region in the SAN. (2) Enzymatic digestion of the SAN reveals three morphologically different nodal cell types and one atrial type. Of each nodal cell type, neurofilament-positive as well as neurofilament-negative myocytes are found. Atrial cells are all neurofilament-negative. (3) In contrast to previous findings, we observed atrial cells in the very center of the SAN. The relative number of atrial cells gradually increases from the central pacemaker area toward the atrium. (4) Differences in electrophysiological characteristics between individual nodal cells are not associated with differences in cell type. CONCLUSIONS: (1) The expression of neurofilaments can be used to delineate the nodal area in the intact SAN but is not sufficiently sensitive for characterizing all individual isolated nodal cells. (2) A fundamentally different organization of the SAN is presented: The gradual increase in density of atrial cells from the dominant area toward the crista terminalis in the SAN causes a gradual increase of atrial electrotonic influence that may be an important cause of the gradual transition of the nodal to the atrial type of action potential.

Pacemaker synchronization of electrically coupled rabbit sinoatrial node cells.

The effects of intercellular coupling conductance on the activity of two electrically coupled isolated rabbit sinoatrial nodal cells were investigated. A computer-controlled version of the "coupling clamp" technique was used in which isolated sinoatrial nodal cells, not physically in contact with each other, were electrically coupled at various values of ohmic coupling conductance, mimicking the effects of mutual interaction by electrical coupling through gap junctional channels. We demonstrate the existence of four types of electrical behavior of coupled spontaneously active cells. As the coupling conductance is progressively increased, the cells exhibit: (a) independent pacemaking at low coupling conductances, (b) complex dynamics of activity with mutual interactions, (c) entrainment of action potential frequency at a 1:1 ratio with different action potential waveforms, and (d) entrainment of action potentials at the same frequency of activation and virtually identical action potential waveforms. The critical value of coupling conductance required for 1:1 frequency entrainment was <0.5 nS in each of the five cell pairs studied. The common interbeat interval at a relatively high coupling conductance (10 nS), which is sufficient to produce entrainment of frequency and also identical action potential waveforms, is determined most by the intrinsically faster pacemaker cell and it can be predicted from the diastolic depolarization times of both cells. Evidence is provided that, at low coupling conductances, mutual pacemaker synchronization results mainly from the phase-resetting effects of the action potential of one cell on the depolarization phase of the other. At high coupling conductances, the tonic, diastolic interactions become more important.

Modulation of propagation from an ectopic focus by electrical load and by extracellular potassium.

We previously developed a technique (R. Kumar, R. Wilders, R. W. Joyner, H. J. Jongsma, E. E. Verheijck, D. A. Golod, A. C. G. van Ginneken, and W. N. Goolsby. Circulation 94: 833-841, 1996) for study of a mathematical model cell with spontaneous activity, viz. a "real-time" simulation of a rabbit sinoatrial node cell (SAN model cell; R. Wilders, H. J. Jongsma, and A. C. van Ginneken. Biophys. J. 60: 1202-1216, 1991) simultaneously being electrically coupled via our "coupling clamp" [H. Sugiura and R. W. Joyner. Am. J. Physiol. 263 (Heart Circ. Physiol. 32): H1591-H1604, 1992] circuit to a real, isolated ventricular myocyte. We now apply this technique to investigate effects of coupling conductance (Gc), cell size, and the modulation of membrane potential by elevated extracellular potassium concentration on the ability of an ectopic focus, represented by the SAN model cell, to successfully drive a ventricular cell. Values of Gc and the relative sizes of the two cells define three possible outcomes: 1) spontaneous pacing of the SAN model cell but not driving of the ventricular cell, 2) cessation of spontaneous pacing, or 3) pacing of the SAN model cell and driving of the ventricular cell. Below a critical size of the SAN model cell only the first two of these outcomes is possible. Above this critical size there is a range of Gc that allows successful operation of the system as an ectopic focus. Elevation of extracellular potassium concentration from 4 to 8 mM increases both the lower bound and upper bound of Gc for this range. Elevation of extracellular potassium concentration, as commonly observed in myocardial ischemia, may have effects on either inhibiting or releasing from inhibition an ectopic focus.