Interpretation of the Repetitive Firing of Nerve Cells

Eccentric cells of Limulus respond with repetitive firing to sustained depolarizing currents. Following stimulation with a step of current, latency is shorter than first interval and later intervals increase progressively. A shock of intensity twice threshold can evoke firing 25 msec. after an impulse. But in the same cell, a current step twice rheobase evokes a second impulse more than 50 msec. after the first, and current intensity must be raised to over five times rheobase to obtain a first interval of about 25 msec. Repetitive firing was evoked by means of trains of shocks. With stimuli of moderate intensity, firing was evoked by only some of the shocks and intervals between successive impulses increased with time. This is ascribed to accumulation of refractoriness with successive impulses. Higher frequencies of firing are obtained with shocks of intensity n x threshold than with constant currents of intensity n x rheobase. It is concluded that prolonged currents depress the processes leading to excitation and that (in the cells studied) repetitive firing is controlled both by the after-effects of firing (refractoriness) and by the depressant effects of sustained stimuli (accommodation). Development of subthreshold "graded activity" is an important process leading to excitation of eccentric cells, but is not the principal factor determining frequency of firing in response to constant currents.     

ON THE RELATION OF DIRECT CURRENTS TO CONDENSER DISCHARGES AS STIMULI

Data on the electrical stimulation of sciatic-gastrocnemius preparations of the frog by both direct currents and condenser discharges at the same time are discussed in relation to the validity of the differential equation See PDF for Equation where p is the local excitatory process, V the stimulating current or voltage, and K and k are constants. It is concluded that the constant k is the same whether it is derived from the data of the one stimulus or the other when the same fibres are being stimulated.     

Mechanisms of Accommodation in Different Types of Frog Neurons

Responses of individual spinal ganglion neurons, sympathetic ganglion neurons, and motoneurons of frogs to linearly rising currents were investigated utilizing microelectrodes for intracellular stimulation and recording. Spinal ganglion neurons exhibited rapid accommodation to linearly rising currents. Minimal current gradients (MCG's) required to excite these neurons (average value, 106 rheobases/sec) were of the same order of magnitude as for some nerve fibers. Although sympathetic ganglion neurons exhibited responses to lower current gradients than spinal ganglion neurons, distinct MCG's (average value, 26 rheobases/sec) could always be established. MCG's could not be detected in most motoneurons, even with current gradients as low as 0.6 rheobase/sec. A few motoneurons exhibited distinct MCG's (average value, 11 rheobases/sec). The failure of spinal ganglion neurons to respond to anything other than rapidly rising currents appears to be due primarily to the development of severe delayed rectification. The inability of sympathetic ganglion neurons to respond to low current gradients appears to depend not only on delayed rectification but also on increases in depolarization threshold. When present in motoneurons, accommodation appears to result from the same mechanisms responsible for its appearance in sympathetic ganglion neurons.     

The excitation of the heart and its modification under the influence of the chemical mediators and the cardiac nerves: I. Some general consequences of the one-factor theory

A generalized form of the one-factor theory is applied to the heart. It is found that the effects of acetylcholine and sympathin on the chronaxie can be accounted for only if the decay constant of the excitatory state increases in the presence of acetylcholine, and decreases in the presence of sympathin. With the assumption that this is the only effect of the chemical mediators, it is shown that upon application of acetylcholine to the heart the theory predicts: 1) a rise in the rheobase; 2) an increase in the time required for excitation by constant currents; 3) no change in the threshold with condensor discharges of brief duration; 4) a decrease in the spontaneous heart rate; 5) a sudden and complete inhibition of the spontaneous heart rate with excessive concentrations of acetylcholine. In general, the effects of sympathin predicted by the theory oppose those of acetylcholine. Public Health Service Research Fellow of The National Heart Institute.     

The Ionic Mechanisms of Hyperpolarizing Responses in Lobster Muscle Fibers

Lobster muscle fibers develop hyperpolarizing responses when subjected to sufficiently strong hyperpolarizing currents. In contrast to axons of frog, toad, and squid, the muscle fibers produce their responses without the need for prior depolarization in high external K⁺. Responses begin at a threshold polarization (50 to 70 mv), the potential reaching 150 to 200 mv hyperpolarization while the current remains constant. The increased polarization develops at first slowly, then becomes rapid. It usually subsides from its peak spontaneously, falling temporarily to a potential less hyperpolarized than at threshold for the response. As long as current is applied there can be oscillatory behavior with sequential rise and subsidence of the polarization, repeating a number of times. Withdrawal of current leads to rapid return of the potential to the resting level and a small, brief depolarization. Associated with the latter, but of longer duration, is an increased conductance whose magnitude and duration increase with the antecedent current. Hyperpolarizing responses of lobster muscle fibers are due to increased membrane resistance caused by hyperpolarizing K inactivation. The oscillatory characteristic of the response is due to a delayed superimposed and prolonged increase in membrane permeability, probably for Na⁺ and for either K⁺ or Cl^-. The hyperpolarizing responses of other tissues also appear to result from hyperpolarizing K inactivation, on which is superimposed an increased conductance for some other ion or ions.     

The standard Hodgkin-Huxley model and squid axons in reduced external Ca++ fail to accommodate to slowly rising currents.

Accommodation may be defined as an increase in the threshold of an excitable membrane when the membrane is subjected to a sustained subthreshold depolarizing stimulus. Some excitable membranes show accommodation in response to currents which rise linearly at a very slow rate. In this report we point out a theoretical and an experimental counterexample, i.e., a nerve model and an axon which do not accommodate. The nerve model is the standard Hodgkin-Huxley axon, which Hodgkin and Huxley expected not to be excited by a very slowly rising current. This expectation is often quoted as fact, in spite of contrary calculations which we confirm. We have found that squid axons in seawater with reduced divalent cation concentration also do not accommodate to slowly rising currents.     

Influence of the State of TTX-Resistant Sodium Channels on Electrical Activity of a Nociceptive Sensory Fiber: A Model Study

On a model of a thin (C-type) primary afferent fiber, we examined one of the hypotheses related to the phenomenon of initiation of long-lasting tonic discharges in nociceptive afferents. In the membrane of a region corresponding to the free peripheral terminal of the modeled nociceptive C fiber, there were sodium channels of three types (channels of rapidly inactivating TTX-sensitive current and TTX-resistant channels of two types, Na_V1.8/SNS/PN3 and Na_V1.9/NaN/SNS2). As is known, TTX-resistant sodium currents promote the development of long-lasting trains of action potentials, APs, where the duration of tonic discharges exceeds by orders of magnitude the duration of short stimuli inducing such discharges. Such trains, when transmitted to the spinal cord, are interpreted as pain signals. Using the model, we obtained the time course of changes in the membrane potential in the distal and proximal segments of the nerve fiber and values of the densities of inward and outward TTX-resistant sodium currents through channels Na_V1.9/NaN/SNS2 and Na_V1.8/SNS/PN3 in the norm and in a state mimicking the action of inflammation factors. Results of modeling demonstrated that TTX-resistant sodium currents provide intensification of slow components in the generated APs (plateau afterdepolarization). Having a higher inactivation threshold, these currents are inactivated more slowly and recover more rapidly after inactivation, as compared with the currents through TTX-sensitive sodium channels. Such behavior presupposes a considerable role of the TTX-resistant currents in facilitation of transmission of nociceptive signals under conditions of neuropathic pain characterized by excessive “upregulation” of the respective channels. It can be concluded that expression of TTX-resistant sodium channels in nociceptive sensory neurons possessing primary afferent C fibers, the presence of these channels in the membranes of peripheral terminals of the above fibers, and modification of biophysical properties of such channels under conditions of action of inflammation mediators, when taken together, create substantial prerequisites for initiation of anomalous long-lasting AP trains in the above peripheral terminals and, therefore, for transmission of such signals to the CNS. Such a situation appears to be a key electrophysiological phenomenon responsible for generation of neuropathic and inflammation-related pain.     

A note on the two-factor theory with rectification as applied to alternating current stimulation

The effect of rectification and non-normal accommodation on the two-factor theory of alternating current stimulation is studied. Rectification with normal accommodation increases the required amplitude of the current, especially for high frequencies. Rectification with non-normal accommodation introduces two upper limits, one for very low and one for very high frequencies.     

Temperature Characteristics of Excitation in Space-Clamped Squid Axons

Temperature characteristics of excitability in the squid giant axon were measured for the space-clamped axon with the double sucrose gap technique. Threshold strength-duration curves were obtained for square wave current pulses from 10 µsec to 10 msec and at temperatures from 5°C to 35°C. The threshold change of potential, at which an action potential separated from a subthreshold response, averaged 17 mv at 20°C with a Q¹⁰ of 1.15. The average threshold current density at rheobase was 12 µa/cm² at 20°C with a Q¹⁰ of 2.35 compared to 2.3 obtained previously. At short times the threshold charge was 1.5·10^-8 coul/cm². This was relatively independent of temperature and occasionally showed a minimum in the temperature range. At intermediate times and all temperatures the threshold currents were less than for both the single time constant model and the two factor excitation process as developed by Hill. FitzHugh has made computer investigations of the effect of temperature on the excitation of the squid axon membrane as represented by the Hodgkin-Huxley equations. These are in general in good agreement with our experimental results.     

The two-factor theory of nervous excitation with non-normal accommodation

By introducing a parameter which vanishes when the accommodation is normal the modifications in theoretical predictions when accommodation is non-normal are discussed, particularly in the case of stimulation by alternating currents. It is found that non-normality always has the effect of lowering the optimal amplitude of the alternating current, measured in units of the observed rheobase.     

Rate of opening of a population of Na channels in frog skeletal muscle fibers

Linear Systems convolution analysis of muscle sodium currents was used to predict the opening rate of sodium channels as a function of time during voltage clamp pulses. If open sodium channel lifetimes are exponentially distributed, the channel opening rate corresponding to a sodium current obtained at any particular voltage, can be analytically obtained using a simple equation, given single channel information about the mean open-channel lifetime and current.Predictions of channel opening rate during voltage clamp pulses show that sodium channel inactivation arises coincident with a decline in channel opening rate.Sodium currents pharmacologically modified with Chloramine-T treatment so that they do not inactivate, show a predicted sustained channel opening rate.Large depolarizing voltage clamp pulses produce channel opening rate functions that resemble gating currents.The predicted channel opening rate functions are best described by kinetic models for Na channels which confer most of the charge movement to transitions between closed states.Comparisons of channel opening rate functions with gating currents suggests that there may be subtypes of Na channel with some contributing more charge movement per channel opening than others.Na channels open on average, only once during the transient period of Na activation and inactivation.After transiently opening during the activation period and then closing by entering the inactivated state, Na channels reopen if the voltage pulse is long enough and contribute to steady-state currents.The convolution model overestimates the opening rate of channels contributing to the steady-state currents that remain after the transient early Na current has subsided.     

Modulation of swimming behavior in the medicinal leech

The effects of serotonin on the electrical properties of swim-gating neurons (cell 204) were examined in leech (Hirudo medicinalis) nerve cords. Exposure to serotonin decreased the threshold current required to elicit swim episodes by prolonged depolarization of an individual cell 204 in isolated nerve cords. This effect was correlated with a more rapid depolarization and an increased impulse frequency of cell 204 in the first second of stimulation. In normal leech saline, brief depolarizing current pulses (1 s) injected into cell 204 failed to elicit swim episodes. Following exposure to serotonin, however, identical pulses consistently evoked swim episodes. Thus, serotonin appears to transform cell 204 from a gating to a trigger cell.Serotonin had little effect on the steady-state currentvoltage relation of cell 204. However, serotonin altered the membrane potential trajectories in response to injected current pulses and increased the amplitude of rebound responses occurring at the offset of current pulses. These changes suggest that serotonin modulates one or more voltage dependent conductances in cell 204, resulting in a more rapid depolarization and greater firing rate in response to injected currents. Thus, modulation of intrinsic ionic conductances in cell 204 may account in part for the increased probability of swimming behavior induced by serotonin in intact leeches.Abbreviations AHP afterhyperpolarizing potential - DCC discontinuous current clamp - DP dorsal posterior nerve - G2 segmental ganglion 2 - PIR postinhibitory rebound - RMP resting membrane potential     

Desensitization and Dark Recovery of the Photoreceptor Current in Chlamydomonas reinhardtii

Photoexcitation of rhodopsin in Chlamydomonas reinhardtii triggers a complex of rapid bioelectric processes in the cell membrane. Photoreceptor and flagellar currents are the major components of this cascade and are the basis for the phototaxis and photoshock response, respectively. Desensitization and dark recovery of the extracellularly recorded photoreceptor current were investigated in double-flash excitation experiments. The data obtained show that the desensitization is determined by membrane depolarization rather than by rhodopsin bleaching. At external K+ concentrations less than 0.6 mM, generation of the flagellar current triggers a transient, depolarization-activated K+ efflux that contributes to membrane repolarization after light excitation. Acceleration of the dark recovery at 5 to 10 mM Ca2+ can be partially attributed to a blockade of K+ influx, which is triggered at higher external K+ concentrations. K+ currents constitute a novel component of the rhodopsin-mediated signaling system in C. reinhardtii that is involved in the process of dark adaptation of the system.     

Cloning and expression of a calcium-activated chloride channel reveal a novel protein candidate

Purkinje neurons fire spontaneous action potentials at ~50 spikes/sec and generate more than 100 spikes/sec during cerebellum-mediated behaviors. Many voltage-gated channels, including Ca channels, can inactivate and/or facilitate with repeated stimulation, raising the question of how these channels respond to regular, rapid trains of depolarizations. To test whether Ca currents are modulated during firing, we recorded voltage-clamped Ca currents, predominantly carried by P-type Ca channels, from acutely dissociated mouse Purkinje neurons at 30-33{degree sign}C (1 mM Ca). With 0.5 mM intracellular EGTA, 1-second trains of either spontaneous action potential waveforms or brief depolarizing steps at 50 Hz evoked Ca tail currents that were stable, remaining within 5% of the first tail current throughout the train. Higher frequency trains (100 and 200 Hz) elicited a maximal inactivation of     

Development of Discharge in a Saline Solution at Near-Threshold Voltages

The development of a discharge in a point?plane gap filled with a saline solution with a salt content of 3% was studied experimentally. The duration of the voltage pulse applied to the gap was about 2 ms. Data are presented on the formation dynamics of gas microcavities at near-threshold voltages at which gas-discharge plasma appears in some microcavities. The cavities are conglomerates of microbubbles with a typical size of ≈100 μm. At the threshold voltage (≈750 V), the active electrode is covered with a gas layer and the gap voltage is in fact applied to this layer, which leads to the development of discharges in individual microbubbles. In this case, the discharge operates in the form of short current pulses. The number of microcavities filled with plasma increases as the voltage grows above the threshold value. At the plasma boundary, new microbubbles are formed, in which discharges are ignited. As a result, the plasma front propagates from the active electrode into the gap with a characteristic velocity of 10³ cm/s.     

Effect of menthol on cold receptor activity. Analysis of receptor processes

The effect of menthol on the discharge pattern of feline nasal and lingual cold receptors was analyzed in order to elucidate the underlying sensory transducer mechanism. A repetitive beating activity and burst (grouped) discharges were observed in both cold receptor populations at constant temperatures and after rapid cooling. An analysis of the impulse activity revealed a cyclic pattern of impulse generation, which suggested the existence of an underlying receptor potential oscillation that initiates impulses in the afferent nerve when it exceeds a threshold value. The frequency and amplitude of the periodic impulse-inducing receptor processes were characterized by the burst frequency, which increased with warming, and by the average number of impulses generated during each cycle, which increased with cooling. Menthol at micromolar concentrations induced an acceleration of the burst frequency at higher temperatures, but reduced the burst frequency in the midtemperature range. At temperatures above 25 degrees C, menthol increased the number of impulses elicited during each cycle and induced bursting in previously repetitively discharging fibers. At low temperatures, menthol suppressed bursting and finally inhibited all cold receptor activity. The impulse pattern at constant temperatures and during the dynamic response to rapid cooling was comparably affected by menthol. Calcium application completely abolished the stimulating menthol effect. Since, in equal concentrations, menthol specifically impairs neuronal calcium currents, the results are consistent with the conjecture that in cold receptors, menthol reduces the activation of a calcium-stimulated outward current by an impeding effect on a calcium conductance, thereby inducing depolarization and a modification of bursting behavior. The data confirm the hypothesis of a calcium-controlled outward conductance being involved in the generation of cyclic afferent activity in cold receptors.     

成年蜜蜂脑神经细胞的培养和电生理特征

为了研究杀虫剂等对蜜蜂毒性作用的神经机制,需在体外建立成年蜜蜂脑神经细胞的分离培养和电生理记录技术并研究其正常电生理特征,而对成年蜜蜂脑神经细胞的分离培养和电生理特性的研究报道甚少。我们采用酶解和机械吹打相结合的方法获得了数量较多且活力较好的成年意大利蜜蜂Apis mellifera脑神经细胞,并用全细胞膜片钳技术研究了成年意大利蜜蜂脑神经细胞对电流和电压刺激的反应,获得了成年意蜂脑神经细胞的基本电生理特征以及钠电流和钾电流的特性。全细胞电流钳的记录结果表明,在体外培养条件下,细胞无自发放电发生,注射电流后仅引起细胞单次放电,引起细胞放电的阈电流平均为60.8±63 pA; 细胞动作电位产生的阈电位平均为−27.4±2.3 mV。用全细胞电压钳记录了神经细胞的钠电流和钾电流。钠电流的分离是在电压刺激下通过阻断钾通道和钙通道实现。细胞的内向钠电流在指令电压为−40～−30 mV左右激活,−10 mV达峰值,钠通道的稳态失活电压V_1/2为−58.4 mV; 外向钾电流成份至少包括较小的快速失活钾电流和和较大的缓慢失活钾电流（占总钾电流的80%）,其半激活膜电位V_1/2为3.86 mV,无明显的稳态失活。结果提示缓慢失活钾电流的特征可能是细胞单次放电的机制之一。     

The Mechanism of Discharge Pattern Formation in Crayfish Interneurons

Excitatory and inhibitory processes which result in the generation of output impulses were analyzed in single crayfish interneurons by using intracellular recording and membrane polarizing techniques. Individual spikes which are initiated orthodromically in axon branches summate temporally and spatially to generate a main axon spike; temporally dispersed branch spikes often pace repetitive discharge of the main axon. Hyperpolarizing IPSP's sometimes suppress axonal discharge to most of these inputs, but in other cases may interact selectively with some of them. The IPSP's reverse their polarity at a hyperpolarized level of membrane potential; they sometimes exhibit two discrete time courses indicating two different input sources. Outward direct current at the main axon near branches causes repetitive discharges which may last, with optimal current intensities, for 1 to 15 seconds. The relation of discharge frequency to current intensity is linear for an early spike interval, but above 100 to 200 impulses/sec. it begins to show saturation. In one unit the current-frequency curve exhibited two linear portions, suggesting the presence of two spike-generating sites in the axon. Current threshold measurements, using test stimuli of different durations, showed that both accommodation and "early" or "residual" refractoriness contribute to the determination of discharge rate at different frequencies.     

High-performance photovoltaic behavior of oriented purple membrane polymer composite films

The photovoltaic behavior of films in which bacteriorhodopsin molecules are embedded in a polyvinyl alcohol matrix has been investigated by using both pulsed laser excitation and regular light illumination. Response times as short as milliseconds, photocurrents as great as 120 micro A/cm(2), and photovoltages as large as 3.8 V have been obtained. A theoretical model has been developed and used to extract several physical parameters and fit the experimental results. Some important intrinsic parameters have been obtained. Theoretical results indicate that the average displacement of the excited protons is on the order of several tens of microns. Other curve fits show that photocurrent and photovoltage increase linearly with external field, but increase exponentially with flash power. These theoretical models and results can be extended to other kinds of photoactive polymeric materials.     

Inhibition of a slowly inactivating high-voltage-activated calcium current by the neuropeptide FMRFa in molluscan neuroendocrine cells

Using the whole-cell voltage-clamp technique, the effects of the neuropeptide Phe-Met-Arg-Phe-NH₂ (FMRFa) on two types of dihydropyridine-sensitive, high-voltage-activated calcium currents were investigated in isolated neuroendocrine caudo-dorsal cells (CDCs), which control egg-laying in the molluscLymnaea stagnalis. These currents are: (1) a transient current (Τ_inact = ∼10–25 ms) with an activation threshold of −40 mV and maximal amplitude at +10 mV and (2) a sustained current (Τ_inact = ∼ 100–300 ms) with a threshold of −10 mV and apeak at +30 mV. FMRFa caused a partial block of the calcium current that was rapid, reversible and dose-dependent (ED₅₀ = 4.3 nM). The FMRFa-sensitive and insensitive currents differed in voltage-dependence of activation and inactivation, steady-state inactivation characteristics and time course of recovery from inactivation, all indicating that FMRFa selectively suppressed the sustained calcium current. Internal perfusion of CDCs with GTP-γ-S or GDP-Β-S depressed the FMRFa response, suggesting the involvement of G-proteins. Experiments aimed at elucidation of the signal transduction pathway between the FMRFa receptor and the calcium channel revealed no involvement of second messengers and protein kinases. The FMRFa-induced inhibition of the sustained calcium current probably results from a direct interaction between a G-protein, activated by the FMRFa receptor, and the calcium channel. The selective inhibition of this calcium current is likely to decrease the influx of calcium during the action potential, which will reduce the release of autoexcitatory CDC-peptides and contribute to a suppression of excitability.