Phase resetting of embryonic chick atrial heart cell aggregates. Experiment and theory.

The influence of brief duration current pulses on the spontaneous electrical activity of embryonic chick atrial heart cell aggregates was investigated experimentally and theoretically. A pulse could either delay or advance the time of the action potential subsequent to the pulse depending upon the time in the control cycle at which it was applied. The perturbed cycle length throughout the transition from delay to advance was a continuous function of the time of the pulse for small pulse amplitudes, but was discontinuous for larger pulse amplitudes. Similar results were obtained using a model of the ionic currents which underlie spontaneous activity in these preparations. The primary ion current components which contribute to phase resetting are the fast inward sodium ion current, INa, and the primary, potassium ion repolarization current, IX1. The origin of the discontinuity in phase resetting of the model can be elucidated by a detailed examination of the current-voltage trajectories in the region of the phase response curve where the discontinuity occurs.     

Repolarization currents in embryonic chick atrial heart cell aggregates.

Outward membrane currents in aggregates of atrial cells prepared from 7-12-d-old chick embryonic hearts were measured with the two microelectrode voltage-clamp technique. Two outward current components, Ix1 and Ix2, were found in the plateau potential range of the action potential. The Ix1 component is activated between -50 and -20 mV; the Ix2 component is activated between -15 and +20 mV. The Ix1 component inwardly rectifies, whereas Ix2 has an approximately linear current-voltage relation. These preparations lack a time-dependent pacemaker current component, even though they beat spontaneously with an interbeat interval of approximately 1 s. A mathematical model of electrical activity is described based on our measurements of time-dependent outward current, and measurements in the literature of inward current components.     

Effects of tetrodotoxin on heart cell aggregates. Phase resetting and annihilation of activity.

The influence of relatively low concentrations of tetrodotoxin (TTX) on phase resetting of spontaneous activity of embryonic chick atrial heart cell aggregates by brief duration current pulses was investigated experimentally and theoretically. The maximal upstroke velocity, Vmax, of the spontaneous action potential was reduced by TTX in a concentration-dependent manner for [TTX] less than 10(-7) M. However, the beat rate was unaffected in this concentration range. Application of a depolarizing current pulse of brief duration during a critical region of the spontaneous cycle annihilated activity in some preparations exposed to [TTX] approximately 10(-7) M. These results were analyzed with the model of electrical activity described in the previous paper (Clay, J.R., R.M. Brochu, and A. Shrier. 1990. Biophys. J. 58:609-621) based on a tonic block of the INa channel by TTX with a dissociation constant, KD, of 50 nM.     

Phase resetting in a model of cardiac Purkinje fiber.

The phase-resetting response of a model of spontaneously active cardiac Purkinje fiber is investigated. The effect on the interbeat interval of injecting a 20-ms duration depolarizing current pulse is studied as a function of the phase in the cycle at which the pulse is delivered. At low current amplitudes, a triphasic response is recorded as the pulse is advanced through the cycle. At intermediate current amplitudes, the response becomes quinquephasic, due to the presence of supernormal excitability. At high current amplitudes, a triphasic response is seen once more. At low stimulus amplitudes, type 1 phase resetting occurs; at medium amplitudes, a type could not be ascribed to the phase resetting because of the presence of effectively all-or-none depolarization; at high amplitudes, type 0 phase resetting occurs. The modeling results closely correspond with published experimental data; in particular type 1 and type 0 phase resetting are seen. Implications for the induction of ventricular arrhythmias are considered.     

Linear impedance studies of voltage-dependent conductances in tissue cultured chick heart cells.

Plateau and pacemaker currents from tissue cultured clusters of embryonic chick heart cells were studied in the time domain, using voltage-clamp steps, and in the frequency domain, using a wide-band noise input superimposed on a steady holding voltage. In the presence of tetrodotoxin to block the sodium channel, a depolarizing voltage step into the plateau range elicited: (a) a rapid (approximately equal to 2 ms) activation of the slow inward current; (b) a subsequent slower (approximately equal to 25 ms) decline in the slow inward current; and (c) activation of a very slow (5 to 10 s) outward current. Impedance studies in this voltage range could clearly resolve two voltage-dependent processes, which appeared to correspond to points b and c above because of their voltage dependence, pharmacology, and time constants. A correlate of point a was also probably present but difficult to resolve owing to the fast time constant of activation for the slow inward channel. At voltages negative to -50 mV a new voltage-dependent process could be resolved, which, because of its voltage dependence and time constant, appeared to represent the pacemaker channel (also termed If or IK2). In the Appendix, linear models of voltage-dependent channels and ion accumulation/depletion are derived and these are compared with our data. Most of the above-mentioned processes could be attributed to voltage-dependent channels with kinetics similar to those observed in time domain, voltage-clamp studies. However, the frequency domain correlate of the decline of the slow inward current was incompatible with channel gating, rather, it appears accumulation/depletion of calcium may dominate the decline in this preparation.     

Ionic mechanisms of pacemaker activity in cardiac Purkinje fibers.

Rhythmic activity in cardiac Purkinje fibers can be analyzed by using the voltage clamp technique to study pacemaker currents. In normally polarized preparations, pacemaker activity can be generated by two distinct ionic mechanisms. The standard pacemaker potential (phase 4 depolarization) involves a slow potassium current, IK2. Following action potential repolarization, the IK2 channels slowly deactivate and thus unmask a steady background inward current. The resulting net inward current causes the slow pacemaker depolarization. Epinephrine accelerates the diastolic depolarization by promoting more complete and more rapid deactivation of IK2 over the pacemaker range of potentials. The catecholamine acts rather selectively on the voltage dependence of the gating mechanism, without altering the basic character of the pacemaker process. The nature of the pacemaker depolarization is altered by intoxication with high concentrations of cardiac glycosides or aglycones. These compounds promote spontaneous impulses in Purkinje fibers by a mechanism that supersedes the ordinary IK2 pacemaker. The digitalis-induced depolarization is generated by a transient inward current that is either absent or very small in untreated preparations. The transient inward current is largely carried by sodium ions. Its unusual time course probably reflects an underlying subcellular event, the oscillatory release of calcium ions from intracellular stores.     

Calcium activates and inactivates a photoreceptor soma potassium current.

Light-induced currents were measured with a two-microelectrode voltage clamp of type B photoreceptor somata, which had been isolated by axotomy from all synaptic interactions as well as from all membranes capable of generating impulse activity. In artificial seawater (ASW), light elicited a transient early inward current, INa+, which depended on Na+o and had a linear current-voltage relation and an extrapolated reversal potential of 30-40 mV (absolute). In 0-Na+ ASW, light elicited a transient short-latency outward current that dependent on K+o, increased exponentially with more positive voltages (greater than or equal to -40 mV), and reversed at -70 to -75 mV. This outward current was not blocked by Ca++ channel blockers (e.g., Cd++, Co++) or substitution of Ba++o, for Ca++o, but was reduced by iontophoretic injection of EGTA. In both ASW and 0-Na+ ASW, light also elicited a delayed, apparently inward current, which was associated with a decreased conductance, depended on K+o, increased exponentially with more positive voltages (greater than or equal to -40 mV), reversed at the equilibrium potential for K+ flux in elevated K+o was eliminated by substitution of Ba++o for Ca++o, and was greatly reduced by Cd++o or Co++o. Thus, light elicited an early Ca++-dependent K+ current, IC, and a prolonged decrease of IC. Iontophoretic injection of Ca++ through a third microelectrode caused prolonged reduction of both IC and the light-induced decrease of IC, but did not alter ICa++ or the current-voltage relation of IC. Ruthenium red (1 microM) in the external medium caused a prolongation of the light-induced decrease of IC. Iontophoretic injection of EGTA often eliminated the light-induced IC decrease while decreasing peak IC (during depolarizing steps to -5 or 0 mV) by less than one-half. EGTA injection, on the average, did not affect steady state IC but reduced the light-induced decrease of steady state IC to approximately one-third of its original magnitude. The prolonged IC decrease, elicited by dim light in the absence of light-induced IC or INa+, was more completely eliminated by EGTA injection. It was concluded that light, in addition to inducing a transient inward Na+ current, causes both a transient increase and a prolonged decrease of IC via elevation of Ca++i.     

Chloride action potentials and currents in embryonic skeletal muscle of the chick

Chloride-dependent action potentials were elicited from embryonic skeletal muscle fibers of the chick during the last week of in ovo development. The duration of the action potentials was extremely long (greater than 8 sec). The action potentials were reversibly blocked by the stilbene derivative, SITS, a specific blocker of chloride permeability. Using patch clamp pipettes, in which the intracellular chloride concentration was controlled and with other types of ion channels blocked, the membrane potential at the peak of the action potential closely coincided with the chloride equilibrium potential calculated from the Nernst equation. These data indicate that activation of a chloride-selective conductance underlies the long duration action potential. The occurrence of the chloride-dependent action potential was found to increase during embryonic development. The percentage of fibers that displayed the action potential increased from approximately 20% at embryonic day 13 to approximately 70% at hatching. Chloride-dependent action potentials were not found in adult fibers. The voltage and time-dependent currents underlying the action potential were recorded under voltage clamp using the whole-cell version of the patch pipette technique. The reversal potential of the currents was found to shift with the chloride concentration gradient in a manner predicted by the Nernst equation, and the currents were blocked by SITS. These data indicate that chloride ions were the charge carriers. The conductance was activated by depolarization and exhibited very slow activation and deactivation kinetics.     

The Ventral Photoreceptor Cells of Limulus : III. A voltage-clamp study

In the dark, the ventral photoreceptor of Limulus exhibits time-variant currents under voltage-clamp conditions; that is, if the membrane potential of the cell is clamped to a depolarized value there is an initial large outward current which slowly declines to a steady level. The current-voltage relation of the cell in the dark is nonlinear. The only ion tested which has any effect on the current-voltage relation is potassium; high potassium shifts the reversal potential towards zero and introduces a negative slope-conductance region. When the cell is illuminated under voltage-clamp conditions, an additional current, the light-induced current, flows across the cell membrane. The time course of this current mimics the time course of the light response (receptor potential) in the unclamped cell; namely, an initial transient phase is followed by a steady-state phase. The amplitude of the peak transient current can be as large as 60 times the amplitude of the steady-state current, while in the unclamped cell the amplitude of the peak transient voltage never exceeds 4 times the amplitude of the steady-state voltage. The current-voltage relations of the additional light-induced current obtained for different instants of time are also nonlinear, but differ from the current-voltage relations of the dark current. The ions tested which have the greatest effect on the light-induced current are sodium and calcium; low sodium decreases the current, while low calcium increases the current. The data strongly support the hypothesis that two systems of electric current exist in the membrane. Thus the total ionic current which flows in the membrane is accounted for as the sum of a dark current and a light-induced current.     

An ionic model for rhythmic activity in small clusters of embryonic chick ventricular cells

We recorded transmembrane potential in whole cell recording mode from small clusters (2-4 cells) of spontaneously beating 7-day embryonic chick ventricular cells after 1-3 days in culture and investigated effects of the blockers D-600, diltiazem, almokalant, and Ba2+. Electrical activity in small clusters is very different from that in reaggregates of several hundred embryonic chick ventricular cells, e.g., TTX-sensitive fast upstrokes in reaggregates vs. TTX-insensitive slow upstrokes in small clusters (maximum upstroke velocity approximately 100 V/s vs. approximately 10 V/s). On the basis of our voltage- and current-clamp results and data from the literature, we formulated a Hodgkin-Huxley-type ionic model for the electrical activity in these small clusters. The model contains a Ca2+ current (ICa), three K+ currents (IKs, IKr, and IK1), a background current, and a seal-leak current. ICa generates the slow upstroke, whereas IKs, IKr, and IK1 contribute to repolarization. All the currents contribute to spontaneous diastolic depolarization, e.g., removal of the seal-leak current increases the interbeat interval from 392 to 535 ms. The model replicates the spontaneous activity in the clusters as well as the experimental results of application of blockers. Bifurcation analysis and simulations with the model predict that annihilation and single-pulse triggering should occur with partial block of ICa. Embryonic chick ventricular cells have been used as an experimental model to investigate various aspects of spontaneous beating of cardiac cells, e.g., mutual synchronization, regularity of beating, and spontaneous initiation and termination of reentrant rhythms; our model allows investigation of these topics through numerical simulation.     

Beating irregularity of single pacemaker cells isolated from the rabbit sinoatrial node.

Single pacemaker heart cells discharge irregularly. Data on fluctuations in interbeat interval of single pacemaker cells isolated from the rabbit sinoatrial node are presented. The coefficient of variation of the interbeat interval is quite small, approximately 2%, even though the coefficient of variation of diastolic depolarization rate is approximately 15%. It has been hypothesized that random fluctuations in interbeat interval arise from the stochastic behavior of the membrane ionic channels. To test this hypothesis, we constructed a single channel model of a single pacemaker cell isolated from the rabbit sinoatrial node, i.e., a model into which the stochastic open-close kinetics of the individual membrane ionic channels are incorporated. Single channel conductances as well as single channel open and closed lifetimes are based on experimental data from whole cell and single channel experiments that have been published in the past decade. Fluctuations in action potential parameters of the model cell are compared with those observed experimentally. It is concluded that fluctuations in interbeat interval of single sinoatrial node pacemaker cells indeed are due to the stochastic open-close kinetics of the membrane ionic channels.     

Null space in the Hodgkin-Huxley Equations. A critical test.

Voltage perturbation methods based upon topological concepts are used to elicit responses from the Hodgkin-Huxley (HH) nonlinear differential equations. These responses present a critical check upon the validity of the HH model for electrical activity across squid axon membrane. It is shown that when a constant current is applied such that a stable equilibrium and rhythmic firing are present, the following predictions are inherent in the HH system of equations: (a) Small instantaneous voltage perturbations to the axon given at points along its firing spike result in phase resetting curves (when new phase versus old phase is plotted) with an average slope of 1. (b) A larger voltage perturbation (from certain points along the firing spike) results in the permanent cessation of periodic firing, with membrane voltage rapidly approaching the equilibrium value. (c) A still larger perturbation yields phase resetting curves with an average slope equal to 0. These predictions, coupled with Tasaki's experimental demonstration that squid axons in excellent condition do give repetitive firing under constant current, provide a critical test of the validity of the HH model.     

Inward current generated by Na-Ca exchange during the action potential in single atrial cells of the rabbit.

To investigate the underlying ionic mechanism of the late plateau phase of the action potential in rabbit atrium the whole-cell patch-clamp technique with intracellular perfusion was used. We recorded the inward current during repolarizations following a brief 2 ms depolarizing pulse to +40 mV from a holding potential of between -70 and -80 mV. The development of this current coincides with the onset of the late plateau phase of the action potential. Peak activation of the current occurs about 10 ms from the beginning of the depolarizing pulse, and it decays spontaneously with a slow timecourse. Its voltage dependency from -40 mV to +40 mV shows very steep activation (-40 to -20 mV) and shows almost the same maximum magnitude between -10 mV and +40 mV. This behaviour is quite different from that of the calcium current. The inward current and the late plateau phase of the action potential were both abolished by the application of 5 mM EGTA, 1 microM ryanodine and by reducing the Na+ gradient. The fully activated current-voltage relation of the inward current was plotted as the difference current before and after treatment with Ryanodine, Diltiazem, 20 mM Na+ inside or 30% Na+ outside and shows an exponential voltage dependence with the largest magnitude of the current occurring at negative potentials. The current-voltage (I-V) curve was well fitted by the Na-Ca exchange equation, i = A exp (-(1 - r)EF/RT). The results suggest that the inward current contributes to the generation of the late plateau phase of the rabbit atrial action potential, and is activated by intracellular calcium released from the sarcoplasmic reticulum. Sarcoplasmic reticulum calcium release appears to be triggered both by the membrane voltage and by the calcium current. It is concluded that the inward current is generated by Na-Ca exchange.     

Bethanidine increased Na+ and Ca2+ currents and caused a positive inotropic effect in heart cells

The effects of bethanidine sulphate, a pharmacological analog of the cardiac antibrillatory drug, bretylium tosylate, were studied on action potentials (APs) and K+, Na+, and Ca2+ currents of single cultured embryonic chick heart cells using the whole-cell current clamp and voltage clamp technique. Extracellular application of bethanidine (3 X 10(-4) M) increased the overshoot and the duration of the APs and greatly decreased the outward K+ current (IK) and potentiated the inward fast Na+ currents (INa) and the inward slow calcium current (ICa). However, intracellular introduction of bethanidine (10(-4) M) blocked INa. In isolated atria of rat, bethanidine increased the force of contraction in a dose-dependent manner. These findings suggest that when applied extracellularly, bethanidine exerts a potentiating effect on the myocardial fast Na+ current and slow Ca2+ current and an inhibitory effect of IK. The positive inotropic effect of bethanidine could be due, at least in part, to an increase of Ca2+ influx via the slow Ca2+ channel and the Na-Ca exchange. It is suggested that the decrease of IK by bethanidine may account for its antifibrillatory action.     

Pacemaker activity of the rabbit sinoatrial node. A comparison of mathematical models.

In the past decade, three mathematical models describing the pacemaker activity of the rabbit sinoatrial node have been developed: the Bristow-Clark model, the Irisawa-Noma model, and the Noble-Noble model. In a comparative study it is demonstrated that these models, as well as subsequent modifications, all have several drawbacks. A more accurate model, describing the pacemaker activity of a single pacemaker cell isolated from the rabbit sinoatrial node, was constructed. Model equations, including equations for the T-type calcium current, are based on experimental data from voltage clamp experiments on single cells that were published during the last few years. In contrast to the other models, only a small amount of background current contributes to the overall electrical charge flow. The action potential parameters of the model cell, its responses to voltage clamp steps and its current-voltage relationships have been computed. The model is used to discuss the relative contribution of membrane current components to the slow diastolic depolarization phase of the action potential.     

Investigations of the ionic mechanisms of bursting activity in Helix pomatia neurons

Steady-state current-voltage characteristics of the membrane and ionic currents arising during changes in membrane potential in bursting neurons ofHelix pomatia were studied by the voltage clamp method. The steady-state current-voltage characteristics of the membrane were shown to have a nonlinear region. Replacement of sodium ions by Tris-HC1 ions in the external solution completely abolishes this nonlinearity. Hyperpolarization of the membrane under voltage clamp conditions leads to the development of an outward current which reaches a maximum and then is inactivated. This current has a reversal potential in the region of the potassium equilibrium potential. Depolarization of the membrane to the threshold value for excitation of uncontrollable regions of the axon hillock causes the appearance of a slow inward current. After reaching a maximum, the inward current falls to zero. A model of generation of waves in a bursting neuron is suggested.A. A. Bogomolets Institute of Physiology, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Neirofiziologiya, Vol. 10, No. 2, pp. 193–202, March–April, 1978.     

Sodium-conducting channels in cardiac membranes in low calcium.

With no Ca in the patch electrode, two kinds of channels conduct Na in spontaneously beating embryonic chick heart cells. One channel conducts Na primarily during the upstroke of the action potential and is blocked by tetrodotoxin (TTX). The other channel conducts Na primarily during the late plateau and early repolarization phase of the action potential, but only in Ca concentrations below 10(-6) M. This second channel is TTX-insensitive and has a conductance of 50 to 90 pS, depending upon the interpretation of open-channel flickering. These two Na-conducting channels correspond to the channels that normally carry the fast Na current (INa) and the slow Ca current (Isi).     

Inositol trisphosphate regulation of photoreceptor membrane currents.

In previous studies elevation of intracellular Ca2+ was shown to cause prolonged reduction of two voltage-dependent K+ currents (IA and ICa2+-K+) across the membrane of the isolated Hermissenda photoreceptor, the type B cell (Alkon et al., 1982b; Alkon and Sakakibara, 1985). Here we show that iontophoretic injection of inositol trisphosphate (IP3), but not inositol monophosphate, also caused prolonged reduction of IA and ICa2+-K+. IP3 injection also caused reduction of a light-induced K+ current (also ICa2+-K+) but did not affect the voltage-dependent Ca2+ current, ICa2+, or the light-induced inward current, INa+, of the type B cell. IP3 injection caused similar effects on the K+ currents of the other type of Hermissenda photoreceptor, the type A cell. INA+ of the type A cell, unlike that of the type B cell, was, however, markedly increased following IP3 injection. The differences of IP3 effects on the two types of photoreceptors may be related to differences in regulation of ionic currents by endogenous IP3 as reflected by clear differences (before injection) in the magnitude of IA, ICa2+-K+, and INa+ between the two cell types.     

Conductances contributing to the action potential of Sternopygus electrocytes

In Sternopygus macrurus, electrocyte action potential duration determines the electric organ discharge pulse duration. Since the electric organ discharge is a sexually-dimorphic behavior under the control of steroid hormones, and because electrocyte action potential durations can range from 3–14 ms, the electrocytes provide a unique opportunity to study how sex steroids regulate membrane excitability. In this study, the voltage-sensitive ionic currents of electrocytes were identified under current- and voltage-clamp as a prelude to further studies on their regulation by sex steroid hormones.Bath application of TTX completely abolished the spike and eliminated an inward current under voltage clamp, indicating that the action potential is due primarily to a sodium current. Calcium-free saline had no effect on spike waveform or voltage-clamp currents, indicating that neither calcium nor calcium-dependent currents contribute to the action potential. Application of potassium channel blocking agents, such as tetraethylammonium and cesium ions, caused changes in the spike which, together with voltage-clamp results, indicate the presence of two potassium currents: an inward rectifier and a classical delayed rectifier. In addition, these cells have a large, presumably voltage-insensitive, chloride current. Differences in one or more of these currents could be responsible for the range of action potential durations found in these cells and for the steroid-mediated changes in spike duration.Abbreviations EOD electric organ discharge - VC voltage clamp - CC current clamp - AP action potential - VI/IV voltage-current/current-voltage     

Macroscopic Ca2+ -Na+ and K+ currents in single heart and aortic cells

The whole-cell voltage clamp technique was used to study the slow inward currents and K+ outward currents in single heart cells of embryonic chick and in rabbit aortic cells. In single heart cells of 3-day-old chick embryo three types of slow inward Na+ currents were found. The kinetics and the pharmacology of the slow INa were different from those of the slow ICa in older embryos. Two types of slow inward currents were found in aortic single cells of rabbit; angiotensin II increased the sustained type and d-cAMP and d-cGMP decreased the slow transient component. Two types of outward K+ currents were found in both aortic and heart cells. Single channel analysis demonstrated the presence of a high single K+ channel conductance in aortic cells. In cardiac and vascular smooth muscles, slow inward currents do share some pharmacological properties, although the regulation of these channels by cyclic nucleotides and several drugs seems to be different.