Persistent inward currents in cultured Retzius cells of the medicinal leech

Current-clamp studies of cultured leech Retzius cells revealed inward rectification in the form of slow voltage sags in response to membrane hyperpolarization. Sag responses were eliminated in Na⁺-free saline and blocked by Cs⁺, but not Ba²⁺. Voltage clamp experiments revealed a Cs⁺-sensitive inward current activated by hyperpolarization negative to −70 mV. Cs⁺ decreased the frequency of spontaneous impulses in Retzius cells of intact ganglia. Plateau potentials were evoked in Retzius cells following block of Ca²⁺ influx with Ni²⁺ and suppression of K⁺ currents with internal tetraethylammonium. Plateau potentials continued to be expressed with Li⁺ as the charge carrier, but were eliminated when Na⁺ was replaced with N-methyl-d-glucamine. A persistent Na⁺ current with similar pharmacology that activated positive to −40 mV and reached its peak amplitude near −5 mV was identified in voltage-clamp experiments. Inactivation of the persistent Na⁺ current was slow and incomplete. The current was revealed by slow voltage ramps and persisted for the duration of 5-s voltage steps. Persistent Na⁺ current may underlie Na⁺-dependent bursting recorded in neurons of intact ganglia exposed to Ca²⁺-channel blockers. Accepted: 22 September 1998     

Diversity and modulation of ionic conductances in leech neurons

A complete understanding of animal behavior at the cellular level requires detailed information on the intrinsic biophysical properties of neurons, muscles, and the synaptic connections they make. In the past 10 to 15 years, electrophysiological studies of leech neurons have revealed a diverse array of voltage-gated ionic conductances distinguished by their pharmacological sensitivity to classic ion channel blockers. Voltage-clamp studies have provided new information about the kinetics and voltage-dependence of Na⁺ conductances, several K⁺ currents, including I_A, I_K and I_K(Ca.)' and high- and low-voltage-gated Ca²⁺ conductances. These studies showed that the action potentials of most leech neurons result from the usual sequence of permeability changes to Na⁺, K⁺, and Ca²⁺ ions. They also added insight as to the role played by particular combinations of conductances in providing individual neurons with electrical properties appropriate for the particular information they encode. Evidence is accumulating on the modulatory actions of endogenous neurotransmitters such as FMRFamide, serotonin, and octopamine on motor behaviors in the animal. Parallel studies suggest that changes in behavior can be explained, at least in part, by the alteration of firing patterns of selected neurons and muscles resulting form modulation of multiple ion conductances. This makes the leech exceptionally attractive for neuroethological studies because it is one of the simplest organisms in which the methods of psychology and neurobiology can be combined. Information gathered from this animal will therefore increase our understanding regarding general principles underlying the cellular basis of behavior. © 1995 John Wiley & Sons, Inc.     

Mechanisms of postinhibitory rebound and its modulation by serotonin in excitatory swim motor neurons of the medicinal leech

Postinhibitory rebound (PIR) is defined as membrane depolarization occurring at the offset of a hyperpolarizing stimulus and is one of several intrinsic properties that may promote rhythmic electrical activity. PIR can be produced by several mechanisms including hyperpolarization-activated cation current (I_h) or deinactivation of depolarization-activated inward currents. Excitatory swim motor neurons in the leech exhibit PIR in response to injected current pulses or inhibitory synaptic input. Serotonin, a potent modulator of leech swimming behavior, increases the peak amplitude of PIR and decreases its duration, effects consistent with supporting rhythmic activity. In this study, we performed current clamp experiments on dorsal excitatory cell 3 (DE-3) and ventral excitatory cell 4 (VE-4). We found a significant difference in the shape of PIR responses expressed by these two cell types in normal saline, with DE-3 exhibiting a larger prolonged component. Exposing motor neurons to serotonin eliminated this difference. Cs⁺ had no effect on PIR, suggesting that I_h plays no role. PIR was suppressed completely when low Na⁺ solution was combined with Ca²⁺ -channel blockers. Our data support the hypothesis that PIR in swim motor neurons is produced by a combination of low-threshold Na⁺ and Ca²⁺ currents that begin to activate near –60 mV.     

Calcium Mediates the NO-induced Potassium Current in Toad and Rat Olfactory Receptor Neurons

Nitric oxide (NO) activates a K⁺ current in dissociated amphibian olfactory receptor neurons. Using the patch-clamp technique in its whole-cell mode and stimulation with puffs of the NO-donor sodium nitroprusside, we further studied this effect and show that it was sensitive to the K⁺-channel blockers tetraethylammonium and iberiotoxin, indicating the activation of a Ca²⁺-dependent K⁺ conductance. The Ca²⁺-channel blockers nifedipine and cadmium abolished the NO-induced current, and lowering external Ca²⁺ reduced it significantly. Ca²⁺ imaging showed a transient fluorescence increase upon stimulation with NO, and after blockade of K⁺ currents, an NO-induced inward current could be measured, suggesting that the activation of the Ca²⁺-dependent K⁺ conductance is mediated by Ca²⁺ influx. LY83583, a blocker of the ciliary cAMP-gated channels, did not affect the current, and experiments with focal stimulation indicated that the effect is present in the soma, therefore Ca²⁺ is unlikely to enter via the transduction channels. Finally, we show that NO exerts an effect with similar characteristics on olfactory receptor neurons from the rat. These data represent the first evidence that NO activates a Ca²⁺-dependent K⁺ conductance by causing a Ca²⁺ influx in a sensory system, and suggest that NO signaling plays a role in the physiology of vertebrate olfactory receptor neurons. Received: 25 October 1999/Revised: 2 March 2000     

Effects of carbamazepine on nerve activity and transmitter release in neuroblastoma-glioma hybrid cells and the frog neuromuscular junction

Effects of the antiepileptic drug carbamazepine on nerve action potential and transmitter release in mouse neuroblastoma-glioma hybrid cells (NG108-15) and the frog neuromuscular junction were studied. Carbamazepine within a concentration range of 0.1–0.5 mmol/L reduced the peak height of the action potential of the NG108-15 cells, whereas the membrane potential and membrane resistance were unaffected. Voltage clamp revealed that the decrease in the action potential was due to the blockage of the Na⁺, delayed K⁺ and transient Ca²⁺ currents. Carbamazepine did not affect Ca²⁺-activated and A type K⁺ currents and long-lasting Ca²⁺ current. In the frog neuromuscular junction, carbamazepine decreased the mean quantal content by a parallel shift in the frequency augmentation–potentiation (FAP) relation. It is concluded that carbamazepine blocks the voltage-dependent Na⁺, delayed K⁺, and transient Ca²⁺ currents and quantal transmitter release through a decrease of nerve excitation.     

Dynamic excitation states and firing patterns are controlled by sodium channel kinetics in myenteric neurons: a simulation study

Enteric neurons located in the gastro-intestinal tract are of particular importance to control digestive functions such as motility and secretion. In our recent publication, we showed that mouse myenteric neurons exhibit 2 types of tetrodotoxin-resistant Na⁺ currents: a fast inactivating Na⁺ current produced by Nav1.5 channels, present in nearly all myenteric neurons, and a persistent Na⁺ current attributed to Nav1.9 channels, restricted to the intrinsic primary afferent neurons (IPANs). By combination of experimental recording and computer simulation we found that Nav1.5 contributed to the upstroke velocity of action potentials (APs), whereas Nav1.9 opposed AP repolarization. Here, we detailed the Na⁺, Ca²⁺ and K⁺ currents used in our computational model of IPAN. We refined the prototype cell to reproduce the sustained firing pattern recorded in situ. As shown in experimental conditions we demonstrated that Nav1.9 channels critically determine the up-state life-time and thus, are essential to sustain tonic firing.     

Dynamic excitation states and firing patterns are controlled by sodium channel kinetics in myenteric neurons: a simulation study

Enteric neurons located in the gastro-intestinal tract are of particular importance to control digestive functions such as motility and secretion. In our recent publication, we showed that mouse myenteric neurons exhibit 2 types of tetrodotoxin-resistant Na⁺ currents: a fast inactivating Na⁺ current produced by Nav1.5 channels, present in nearly all myenteric neurons, and a persistent Na⁺ current attributed to Nav1.9 channels, restricted to the intrinsic primary afferent neurons (IPANs). By combination of experimental recording and computer simulation we found that Nav1.5 contributed to the upstroke velocity of action potentials (APs), whereas Nav1.9 opposed AP repolarization. Here, we detailed the Na⁺, Ca²⁺ and K⁺ currents used in our computational model of IPAN. We refined the prototype cell to reproduce the sustained firing pattern recorded in situ. As shown in experimental conditions we demonstrated that Nav1.9 channels critically determine the up-state life-time and thus, are essential to sustain tonic firing.     

Single voltage-dependent and outward rectifying K+-channels in isolated rat heart cells

Studies on single K⁺-channel currents recorded from isolated rat heart muscle cells, in which early repolarization is known to be exceptionally fast, are reported here. A K⁺-channel which is blocked by TEA (tetraethylammonium) from the inside only has been found.The total open time of the channel, measured in steady-state after activation, indicated outward rectifying properties. The single channel conductance increases with depolarization from 25 pS at-70 mV to 75 pS at+70 mV.Selectivity of the channel has also been measured and it was found that only Rb⁺ and K⁺ can permeate the channel, whereas the permeability (P) for Li⁺, Na⁺, Cl^-, Mg²⁺, and Ca²⁺ is less than 0.05 times .Ba²⁺ and Cs⁺ block the channel activity.These results clearly demonstrate the existence of K⁺-selective outward rectifying conductance pathways in rat ventricular myocytes.     

A mathematical model of adult GnRH neurons in mouse brain and its bifurcation analysis

GnRH neurons are hypothalamic neurons that secrete gonadotropin-releasing hormone (GnRH) which stimulates the release of gonadotropins, one of the crucial hormones for sexual development, fertility and maturation. A mathematical model was built to help elucidate the mechanisms underlying electrical bursting and synchronous [Ca²⁺] transients in GnRH neurons (Lee et al., 2010). The model predicted that bursting in GnRH neurons (at least of the short-bursting type) requires the existence of a [Ca²⁺]-dependent slow after-hyperpolarisation current (sI_AHP-UCL), and this predicted current was found experimentally. GnRH behaviour under a wide range of conditions (inhibition of Na⁺ channels, IP₃ receptors, [Ca²⁺]-dependent K⁺ channels, or Ca²⁺ pumps, or in the presence of zero extracellular [Ca²⁺]) is successfully reproduced by the model. In this paper, a simplified version of the previous model, with the same qualitative behaviour, is constructed and studied using timescale separation techniques and bifurcation analysis.     

Seizure-like afterdischarges simulated in a model neuron

To explore non-synaptic mechanisms in paroxysmal discharges, we used a computer model of a simplified hippocampal pyramidal cell, surrounded by interstitial space and a “glial-endothelial” buffer system. Ion channels for Na⁺, K⁺, Ca²⁺ and Cl⁻ _, ion antiport 3Na/Ca, and “active” ion pumps were represented in the neuron membrane. The glia had “leak” conductances and an ion pump. Fluxes, concentration changes and cell swelling were computed. The neuron was stimulated by injecting current. Afterdischarge (AD) followed stimulation if depolarization due to rising interstitial K⁺ concentration ([K⁺]_o) activated persistent Na⁺ current (I _Na,P). AD was either simple or self-regenerating; either regular (tonic) or burst-type (clonic); and always self-limiting. Self-regenerating AD required sufficient I _Na,P to ensure re-excitation. Burst firing depended on activation of dendritic Ca²⁺ currents and Ca-dependent K⁺ current. Varying glial buffer function influenced [K⁺]_o accumulation and afterdischarge duration. Variations in Na⁺ and K⁺ currents influenced the threshold and the duration of AD. The data show that high [K⁺]_o and intrinsic membrane currents can produce the feedback of self-regenerating afterdischarges without synaptic input. The simulated discharge resembles neuron behavior during paroxysmal firing in living brain tissue. Action Editor: David Terman     

Voltage-dependent and Src-mediated regulation of NMDA receptor single channel outward currents in cortical neurons

A voltage-dependent but Ca²⁺-independent regulation of N-methyl-D-aspartate (NMDA) receptor outward activity was studied at the single channel level using outside-out patches of cultured mouse cortical neurons. Unlike the inward activity associated with Ca²⁺ and Na⁺ influx, the NMDA receptor outward K⁺ conductance was unaffected by changes in Ca²⁺ concentration. Following a depolarizing pre-pulse, the single channel open probability (NP _o), amplitude, and open duration of the NMDA inward current decreased, whereas the same pre-depolarization increased those parameters of the NMDA outward current (pre-pulse facilitation). The outward NP _o was increased by the pre-pulse facilitation, disregarding Ca²⁺ changes. The voltage–current relationships of the inward and outward currents were shifted by the pre-depolarization toward opposite directions. The Src family kinase inhibitor, PP1, and the Src kinase antibody, but not the anti-Fyn antibody, blocked the pre-pulse facilitation of the NMDA outward activity. On the other hand, a hyperpolarizing pre-pulse showed no effect on NMDA inward currents but inhibited outward currents (pre-pulse depression). Application of Src kinase, but not Fyn kinase, prevented the pre-pulse depression. We additionally showed that a depolarization pre-pulse potentiated miniature excitatory synaptic currents (mEPSCs). The effect was blocked by application of the NMDA receptor antagonist AP-5 during depolarization. These data suggest a voltage-sensitive regulation of NMDA receptor channels mediated by Src kinase. The selective changes in the NMDA receptor-mediated K⁺ efflux may represent a physiological and pathophysiological plasticity at the receptor level in response to dynamic changes in the membrane potential of central neurons.     

Voltage-gated Ca2+ channels in accessory lobe neurons of the chick

Birds have ten pairs of protrusions, “accessory lobes”, on the lateral sides of the lumbosacral spinal cord. It has been proposed that accessory lobes act as a sensory organ of equilibrium and neurons in accessory lobes transmit sensory information to the motor center. We have reported that cells in chick accessory lobes express functional voltage-gated Na⁺ and K⁺ channels and generate action potentials. In this study, we examined properties of voltage-gated Ca²⁺ channels (VGCCs). The amplitude of voltage-gated Ca²⁺ channel currents carried by Ca²⁺ and Ba²⁺ increased gradually during 10 min rather than showing the usual run-down. The current–voltage relationship of Ba²⁺ currents was consistent with that of the high-voltage-activated Ca²⁺ channel. The proportion of Ba²⁺ currents inhibited by ω-conotoxin GVIA was larger than 80 %, indicating that the major subtype is N type. Amplitudes of tail currents of Ca²⁺ currents evoked by repetitive pulses at 50 Hz are stable for 1 s. If the major subtype of VGCCs at synaptic terminals is also N type, this property may contribute to the establishment of stable synaptic connections between accessory lobe neurons, which are reported to fire at frequencies higher than 15 Hz, and postsynaptic neurons in the spinal cord.     

Riluzole suppresses postinhibitory rebound in an excitatory motor neuron of the medicinal leech

Postinhibitory rebound (PIR) is an intrinsic property often exhibited by neurons involved in generating rhythmic motor behaviors. Cell DE-3, a dorsal excitatory motor neuron in the medicinal leech exhibits PIR responses that persist for several seconds following the offset of hyperpolarizing stimuli and are suppressed in reduced Na⁺ solutions or by Ca²⁺ channel blockers. The long duration and Na⁺ dependence of PIR suggest a possible role for persistent Na⁺ current (I _NaP). In vertebrate neurons, the neuroprotective agent riluzole can produce a selective block of I _NaP. This study demonstrates that riluzole inhibits cell DE-3 PIR in a concentration- and Ca²⁺-dependent manner. In 1.8 mM Ca²⁺ solution, 50–100 µM riluzole selectively blocked the late phase of PIR, an effect similar to that of the neuromodulator serotonin. However, 200 µM riluzole blocked both the early and late phases of PIR. Increasing extracellular Ca²⁺ to 10 mM strengthened PIR, but high riluzole concentrations continued to suppress both phases of PIR. These results indicate that riluzole may suppress PIR via a nonspecific inhibition of Ca²⁺ conductances and suggest that a Ca²⁺-activated nonspecific current (I _CAN), rather than I _NaP, may underlie the Na⁺-dependent component of PIR.     

Impulse conduction in the jellyfish Aglantha digitale

In the jellyfish Aglantha digitale two forms of swimming arise from two separate propagating axonal impulses: a fast, overshooting action potential that depends on TTX-resistant Na⁺ channels, and a low-amplitude spike that depends on T-type Ca²⁺ channels. While the Na⁺ action potential is propagated simply and without distortion, the shape of the Ca²⁺ spike depends on the past history of the axon; it is processed as well as propagated. Patch- and voltage-clamp experiments show how three classes of K⁺ channels contribute to this apparently unique system. A dual Na⁺/Ca²⁺ impulse mechanism may increase the bandwidth of an axonal line of communication but it also places restrictions on the form of the synaptic input needed for spike initiation.     

Properties of the Ca-activated K channel in pancreatic β-cells

The existence of [Ca²⁺]_i-activated K⁺-channels in the pancreatic β-cell membrane is based in two observations: quinine inhibits K⁺-permeability and, increasing intracellular Ca²⁺ stimulates it. The changes in K⁺-permeability of the β-cell have been monitored electrically by combining measurements of the dependence of the membrane potential on external K⁺ concentration and input resistance. The changes in the passive ⁴²K and ⁸⁶Rb efflux from the whole islet have been measured directly. Intracellular Ca²⁺ has been increased by various means, including increasing extracellular Ca²⁺, addition of the Ca²⁺-ionophore A23187 or noradrenaline and application of mitochondrial uncouplers and blockers. In addition to quinine, many other substances have been found to inhibit or modulate the [Ca²⁺]_i-activated K⁺-channel. The most important of these is the natural stimulus for insulin secretion, glucose. Glucose may inhibit K⁺-permeability by lowering intracellular Ca²⁺. Glibenclamide, a hypoglycaemic sulphonylurea, is about 25 times more active than quinine in blocking the K⁺-channel in β-cells. The methylxanthines, c-AMP, various calmodulin inhibitors and Ba²⁺ also inhibit K⁺-permeability. Genetically diabetic mice have been studied and show an alteration in the [Ca²⁺]_i-activated K⁺-channel.It is concluded that the [Ca²⁺]_i-activated K⁺-channel plays a major role in the normal function of the pancreatic β-cell. The study of its properties should prove valuable for the understanding and treatment of diabetes.     

A Model of Action Potentials and Fast Ca Dynamics in Pancreatic β-Cells

We examined the ionic mechanisms mediating depolarization-induced spike activity in pancreatic β-cells. We formulated a Hodgkin-Huxley-type ionic model for the action potential (AP) in these cells based on voltage- and current-clamp results together with measurements of Ca²⁺ dynamics in wild-type and Kv2.1 null mouse islets. The model contains an L-type Ca²⁺ current, a “rapid” delayed-rectifier K⁺ current, a small slowly-activated K⁺ current, a Ca²⁺-activated K⁺ current, an ATP-sensitive K⁺ current, a plasma membrane calcium-pump current and a Na⁺ background current. This model, coupled with an equation describing intracellular Ca²⁺ homeostasis, replicates β-cell AP and Ca²⁺ changes during one glucose-induced spontaneous spike, the effects of blocking K⁺ currents with different inhibitors, and specific complex spike in mouse islets lacking Kv2.1 channels. The currents with voltage-independent gating variables can also be responsible for burst behavior. Original features of this model include new equations for L-type Ca²⁺ current, assessment of the role of rapid delayed-rectifier K⁺ current, and Ca²⁺-activated K⁺ currents, demonstrating the important roles of the Ca²⁺-pump and background currents in the APs and bursts. This model provides acceptable fits to voltage-clamp, AP, and Ca²⁺ concentration data based on in silico analysis.     

Systematic characterization of the ionic basis of rabbit cellular electrophysiology using two ventricular models

Several mathematical models of rabbit ventricular action potential (AP) have been proposed to investigate mechanisms of arrhythmias and excitation-contraction coupling. Our study aims at systematically characterizing how ionic current properties modulate the main cellular biomarkers of arrhythmic risk using two widely-used rabbit ventricular models, and comparing simulation results using the two models with experimental data available for rabbit. A sensitivity analysis of AP properties, Ca²⁺ and Na⁺ dynamics, and their rate dependence to variations (±15% and ±30%) in the main transmembrane current conductances and kinetics was performed using the Shannon et al. (2004) and the [Mahajan et?al., 2008a] and [Mahajan et?al., 2008b] AP rabbit models. The effects of severe transmembrane current blocks (up to 100%) on steady-state AP and calcium transients, and AP duration (APD) restitution curves were also simulated using both models. Our simulations show that, in both virtual rabbit cardiomyocytes, APD is significantly modified by most repolarization currents, AP triangulation is regulated mostly by the inward rectifier K⁺ current (I_K1) whereas APD rate adaptation as well as [Na⁺]_i rate dependence is influenced by the Na⁺/K⁺ pump current (I_NaK). In addition, steady-state [Ca²⁺]_i levels, APD restitution properties and [Ca²⁺]_i rate dependence are strongly dependent on I_NaK, the L-Type Ca²⁺ current (I_CaL) and the Na⁺/Ca²⁺ exchanger current (I_NaCa), although the relative role of these currents is markedly model dependent. Furthermore, our results show that simulations using both models agree with many experimentally-reported electrophysiological characteristics. However, our study shows that the Shannon et al. model mimics rabbit electrophysiology more accurately at normal pacing rates, whereas Mahajan et al. model behaves more appropriately at faster rates. Our results reinforce the usefulness of sensitivity analysis for further understanding of cellular electrophysiology and validation of cardiac AP models.     

Ultraviolet Photoalteration of Late Na+ Current in Guinea-pig Ventricular Myocytes

UV irradiation has multiple effects on mammalian cells, including modification of ion channel function. The present study was undertaken to investigate the response of membrane currents in guinea-pig ventricular myocytes to the type A (355, 380 nm) irradiation commonly used in Ca²⁺ imaging studies. Myocytes configured for whole-cell voltage clamp were generally held at −80 mV, dialyzed with K⁺-, Na⁺-free pipette solution, and bathed with K⁺-free Tyrode’s solution at 22°C. During experiments that lasted for ≈ 35 min, UVA irradiation caused a progressive increase in slowly-inactivating inward current elicited by 200-ms depolarizations from −80 to −40 mV, but had little effect on background current or on L-type Ca²⁺ current. Trials with depolarized holding potential, Ca²⁺ channel blockers, and tetrodotoxin (TTX) established that the current induced by irradiation was late (slowly-inactivating) Na⁺ current (I_Na). The amplitude of the late inward current sensitive to 100 μM TTX was increased by 3.5-fold after 20–30 min of irradiation. UVA modulation of late I_Na may (i) interfere with imaging studies, and (ii) provide a paradigm for investigation of intracellular factors likely to influence slow inactivation of cardiac I_Na.     

Contributions of HERG current to repolarization of the human ventricular action potential

Action potential repolarization in the mammalian heart is governed by interactions of a number of time- and voltage-dependent channel-mediated currents, as well as contributions from the Na⁺/Ca²⁺ exchanger and the Na⁺/K⁺ pump. Recent work has shown that one of the K⁺ currents (HERG) which contributes to repolarization in mammalian ventricle is a locus at which a number of point mutations can have significant functional consequences. In addition, the remarkable sensitivity of this K⁺ channel isoform to inhibition by a variety of pharmacological agents and clinical drugs has resulted in HERG being a major focus for Safety Pharmacology requirements.For these reasons we and others have attempted to define the functional role for HERG-mediated K⁺ currents in repolarization of the action potential in the human ventricle. Here, we describe and evaluate changes in the formulations for two K⁺ currents, I_K1 and HERG (or I_K,r), within the framework of ten Tusscher model of the human ventricular action potential. In this computational study, new mathematical formulations for the two nonlinear K⁺ conductances, I_K1 and HERG, have been developed based upon experimental data obtained from electrophysiological studies of excised human ventricular tissue and/or myocytes. The resulting mathematical model provides much improved simulations of the relative sizes and time courses of the K⁺ currents which modulate repolarization. Our new formulation represents an important first step in defining the mechanism(s) of repolarization of the membrane action potential in the human ventricle. Our overall goal is to understand the genesis of the T-wave of the human electrocardiogram.