Role of hyperpolarization-activated conductances in the lateral superior olive: A modeling study

This modeling study examines the possible functional roles of two hyperpolarization-activated conductances in lateral superior olive (LSO) principal neurons. Inputs of these LSO neurons are transformed into an output, which provides a firing-rate code for a certain interaural sound intensity difference (IID) range. Recent experimental studies have found pharmacological evidence for the presence of both the Gh conductance as well as the inwardly rectifying outward GKIR conductance in the LSO. We addressed the question of how these conductances influence the dynamic range (IID versus firing rate). We used computer simulations of both a point-neuron model and a two-compartmental model to investigate this issue, and to determine the role of these conductances in setting the dynamic range of these neurons. The width of the dynamic regime, the frequency-current (f-I) function, first-spike latency, subthreshold oscillations and the interplay between the two hyperpolarization activated conductances are discussed in detail. The in vivo non-monotonic IID-firing rate function in a subpopulation of LSO neurons is in good correspondence with our simulation predictions. Two compartmental model simulation results suggest segregation of Gh and GKIR conductances on different compartments, as this spatial configuration could explain certain experimental results.     

Voltage-dependent burst-to-tonic switching of thalamic cell activity: an in vitro study

The electroresponsiveness of mammalian thalamic neurons was studied in a slice preparation of the guinea pig diencephalon. Although the morphology of the cells varied, their electroresponsive properties were the same. Stimulation of thalamic cells at a membrane potential more negative than--60 mV produced burst responses and stimulation of more depolarized levels produced tonic firing of fast spikes. The burst response is generated by an inactivating Ca++-conductance. It is seen as a slow Ca++-spike which in turn triggers fast Na+-spikes. The Ca++-conductance is deinactivated by hyperpolarization beyond--60 mV. The membranes of thalamic neurons contain a number of other conductances including a Ca++-dependent K+-conductance producing spike afterhyperpolarization and a non-inactivating Na+-conductance which plays an important role during tonic activity of the cells. The early part of a response to a long-lasting stimulus given at rest or at a hyperpolarized level is dominated by the burst and thus is is independent of the stimulus amplitude. During the late part of such a response the firing rate is highly dependent of the stimulus intensity. Current-frequency plots for the first inter-spike intervals after the burst during long stimuli are upward convex, but after "steady-state" is reached the plots are almost linear.     

Neuronal plasticity in thalamocortical networks during sleep and waking oscillations

Spontaneous brain oscillations during states of vigilance are associated with neuronal plasticity due to rhythmic spike bursts and spike trains fired by thalamic and neocortical neurons during low-frequency rhythms that characterize slow-wave sleep and fast rhythms occurring during waking and REM sleep. Intracellular recordings from thalamic and related cortical neurons in vivo demonstrate that, during natural slow-wave sleep oscillations or their experimental models, both thalamic and cortical neurons progressively enhance their responsiveness. This potentiation lasts for several minutes after the end of oscillatory periods. Cortical neurons display self-sustained activity, similar to responses evoked during previous epochs of stimulation, despite the fact that thalamic neurons remain under a powerful hyperpolarizing pressure. These data suggest that, far from being a quiescent state during which the cortex and subcortical structures are globally inhibited, slow-wave sleep may consolidate memory traces acquired during wakefulness in corticothalamic networks. Similar phenomena occur as a consequence of fast oscillations during brain-activated states.     

Presumed mechanisms of a long-term increase in the intrinsic excitability of cerebellar granule cells: A model study

Persistent use-dependent changes in the intrinsic neuronal excitability determine the long-term dynamics of the activity of these neurons. In synergy with the long-lasting modification of synaptic transmission, such changes in the excitability presumably contribute to the formation of a memory trace in the brain. Nevertheless, neither particular transmembrane ion conductances implicated in the intrinsic plasticity nor the mechanisms of regulation of such conductances have been identified in most neurons where this plasticity was observed. In our model study, we tried to determine those membrane conductances in cerebellar granule cells (GrCs) whose changes can result in a persistent increase in the input resistance and a decrease in the spike threshold observed after high-frequency stimulation of presynaptic neurons. For this purpose, published experimental results were simulated with the use of a slightly modified model of the electroresponsiveness of rat cerebellar GrCs. It was concluded that experimentally observed changes in the input resistance of the neuron, in the minimum current step needed to fire action potentials (APs), in the spike threshold, in the average spike frequency, and in the delay of the first spike may be caused only by changes in the background voltage-independent potassium conductance and persistent sodium conductance. Hyperpolarization-directed shifts in the activation and inactivation curves of fast sodium channels are also possible. The observed changes in the intrinsic excitability evoke the shift in the peak of the frequency-response curve in such a manner that it becomes close to the frequency of oscillations recorded in the cerebellar granular layer during realization of voluntary movements. Neirofiziologiya/Neurophysiology, Vol. 38, No. 2, pp. 119–130, March–April, 2006.     

Spike initiation and propagation on axons with slow inward currents

We investigate spike initiation and propagation in a model axon that has a slow regenerative conductance as well as the usual Hodgkin-Huxley type sodium and potassium conductances. We study the role of slow conductance in producing repetitive firing, compute the dispersion relation for an axon with an additional slow conductance, and show that under appropriate conditions such an axon can produce a traveling zone of secondary spike initiation. This study illustrates some of the complex dynamics shown by excitable membranes with fast and slow conductances.     

A compartmental model of an external urethral sphincter motoneuron of Onuf's nucleus

This article discusses a model of the electrical behavior of an external urethral sphincter motoneuron, based on morphological parameters like soma size, dendritic diameters and spatial dendritic configuration, and several electrical parameters. Because experimental data about the exact ion conductance mix of external urethral sphincter neurons is scarce, the gaps in knowledge about external urethral sphincter motoneurons were filled in with known data of alpha-motoneurons. The constructed compartmental model of motoneurons of Onuf's nucleus contains six voltage-dependent ionic conductances: a fast sodium and potassium conductance and an anomalous rectifier in the soma; a fast delayed rectifier type potassium conductance and a fast sodium conductance in the initial axon segment; an L-type calcium channel in the dendritic compartments. This paper considers the simulation of external urethral sphincter motoneuron responses to current injections that evoke bistable behavior. Simulations show self-sustained discharge following a depolarizing pulse through the microelectrode; the firing was subsequently terminated by a short hyperpolarizing pulse. This behavior is highly functional for neurons that have to exhibit prolonged activation during sphincter closure. In addition to these 'on' and 'off ' responses, we also observed a particular firing behavior in response to long-lasting triangular current pulses. When the depolarizing current was slowly increased and then decreased (triangular pulse) the firing frequency was higher during the descending phase than during the initial ascending phase.     

Influences of membrane properties on phase response curve and synchronization stability in a model globus pallidus neuron

The activity patterns of the globus pallidus (GPe) and subthalamic nucleus (STN) are closely associated with motor function and dysfunction in the basal ganglia. In the pathological state caused by dopamine depletion, the STN–GPe network exhibits rhythmic synchronous activity accompanied by rebound bursts in the STN. Therefore, the mechanism of activity transition is a key to understand basal ganglia functions. As synchronization in GPe neurons could induce pathological STN rebound bursts, it is important to study how synchrony is generated in the GPe. To clarify this issue, we applied the phase-reduction technique to a conductance-based GPe neuronal model in order to derive the phase response curve (PRC) and interaction function between coupled GPe neurons. Using the PRC and interaction function, we studied how the steady-state activity of the GPe network depends on intrinsic membrane properties, varying ionic conductances on the membrane. We noted that a change in persistent sodium current, fast delayed rectifier Kv3 potassium current, M-type potassium current and small conductance calcium-dependent potassium current influenced the PRC shape and the steady state. The effect of those currents on the PRC shape could be attributed to extension of the firing period and reduction of the phase response immediately after an action potential. In particular, the slow potassium current arising from the M-type potassium and the SK current was responsible for the reduction of the phase response. These results suggest that the membrane property modulation controls synchronization/asynchronization in the GPe and the pathological pattern of STN–GPe activity.     

Oscillations and slow patterning in the antennal lobe

Odor presentation generates both fast oscillations and slow patterning in the spiking activity of the projection neurons (PNs) in the antennal lobe (AL) of locusts, moths and bees. Experimental results indicate that the oscillations are the result of the interaction between the PNs and the inhibitory local neurons (LNs) in the AL; e.g., blocking inhibition by application of GABA-receptor antagonists abolishes these oscillations. The slow patterning, on the other hand, was shown to be somewhat resistant to such blockage. In a H-H model, we reproduce both the oscillations and the slow patterning. As previously suggested, the oscillations are the result of the interaction between the PNs and LNs. We suggest that calcium and calcium-dependent potassium channels (found in PNs of bees and moths) are sufficient to account for the slow patterning resistant to the application of GABA-receptor antagonists. The intrinsic bursting property of the PNs, resulting from these additional modeled currents, give rise to another network feature that was seen experimentally in locusts: A relatively small increase in the number of additional generated PN action potentials when LN input is blocked. Consequently, the major effect of network inhibition is to redistribute the action potentials of the PNs from bursting to one action potential per cycle of the oscillations. Action Editor: Christiane Linster     

Substates of cardiac sodium channels are due to both decrease in conductance and changes in selectivity.

Currents through DPI 201-106 modified single cardiac sodium channels in guinea pig ventricular cells were measured using the patch clamp technique in the cell-free configuration to control the sodium concentrations on both sides of the patch membrane. Current-voltage relationships of the single channels were obtained by application of linear voltage ramps from -140 to 100 mV. With 10 mmol/l Na+ at the inner surface of the patch, openings of sodium channels with conductances of 17 pS (selectivity ratios PK/PNa = 0.083 and PK/PNa = 0.58) and 12 pS (selectivity ratios PK/PNa = 0.084 and PK/PNa = 1.832) were obtained. With 30 mmol/l internal sodium, conductances of 20, 10, and 7 pS and selectivity ratios of 0.084, 0.386, and 0.543, respectively, could be measured. It is concluded that substates of sodium channel currents are due to changes in single channel conductance as well as in selectivity, or to changes of both independently of each other which accounts for the variability of conductance levels of cardiac Na channels.     

An insulin-stimulated cation channel in skeletal muscle. Inhibition by calcium causes oscillation.

A cation channel has been identified in the plasma membrane of skeletal muscle that oscillates open and closed in a regular manner. In an experimental system of patch-clamped reconstituted plasma membrane in phospholipid bilayers, the oscillations are calcium-dependent and constitute regular closing events due to inhibition of the channel by calcium with a Ki of 2.2 +/- 1 x 10(-6) M, followed by reopening. There are 3.7 +/- 1 calcium binding sites/channel. With sodium as the current vehicle, conductance is increased by voltage, insulin (Km = 5 +/- 0.6 x 10(-9) M), and hydrolyzable guanine nucleotides. Cyclic GMP alone with increase the conductance with a Km of 3.7 +/- 0.6 x 10(-7) M. In the absence of calcium, the unitary conductance with insulin + GTP or cGMP at 150 mM NaCl is 153 picosiemens. Sodium current is insensitive to 10(-5) M tetrodotoxin but inhibited by mu-conotoxin (Ki = 5 x 10(-8) M). These findings in the reconstituted system were verified in patch-clamped whole muscle cells where an insulin and cGMP-dependent sodium current inhibited by mu-conotoxin could be demonstrated. In the whole cell experiments, slow calcium-dependent oscillations of the sodium current were also detected.     

Co-variation of ionic conductances supports phase maintenance in stomatogastric neurons

Neuronal networks produce reliable functional output throughout the lifespan of an animal despite ceaseless molecular turnover and a constantly changing environment. Central pattern generators, such as those of the crustacean stomatogastric ganglion (STG), are able to robustly maintain their functionality over a wide range of burst periods. Previous experimental work involving extracellular recordings of the pyloric pattern of the STG has demonstrated that as the burst period varies, the inter-neuronal delays are altered proportionally, resulting in burst phases that are roughly invariant. The question whether spike delays within bursts are also proportional to pyloric period has not been explored in detail. The mechanism by which the pyloric neurons accomplish phase maintenance is currently not obvious. Previous studies suggest that the co-regulation of certain ion channel properties may play a role in governing neuronal activity. Here, we observed in long-term recordings of the pyloric rhythm that spike delays can vary proportionally with burst period, so that spike phase is maintained. We then used a conductance-based model neuron to determine whether co-varying ionic membrane conductances results in neural output that emulates the experimentally observed phenomenon of spike phase maintenance. Next, we utilized a model neuron database to determine whether conductance correlations exist in model neuron populations with highly maintained spike phases. We found that co-varying certain conductances, including the sodium and transient calcium conductance pair, causes the model neuron to maintain a specific spike phase pattern. Results indicate a possible relationship between conductance co-regulation and phase maintenance in STG neurons.     

Postsynaptic neuronal response of a cat sensorimotor cortex during evoked and self-sustained rhythmic "spike and wave" activity

Intracellular correlates of complex sets of rhythmic cortical "spike and wave" potentials evoked in sensorimotor cortex and of self-sustained rhythmic "spike and wave" activity were examined during acute experiments on cats immobilized by myorelaxants. Rhythmic spike-wave activity was produced by stimulating the thalamic relay (ventroposterolateral) nucleus (VPLN) at the rate of 3 Hz; self-sustained afterdischarges were recorded following 8–14 Hz stimulation of the same nucleus. Components of the spike and wave afterdischarge mainly correspond to the paroxysmal depolarizing shifts of the membrane potential of cortical neurons in length. After cessation of self-sustained spike and wave activity, prolonged hyperpolarization accompanied by inhibition of spike discharges and subsequent reinstatement of background activity was observed in cortical neurons. It is postulated that the negative slow wave of induced spike and wave activity as well as slow negative potentials of direct cortical and primary response reflect IPSP in more deep-lying areas of the cell bodies, while the wave of self-sustained rhythmic activity is due to paroxysmal depolarizing shifts in the membrane potential of cortical neurons.I. S. Beritashvili Institute of Physiology, Academy of Sciences of the Georgian SSR, Tbilisi. Translated from Neirofiziologiya, Vol. 18, No. 3, pp. 298–306, May–June, 1986.     

Analysis of bursting in a thalamic neuron model

We extend a quantitative model for low-voltage, slow-wave excitability based on the T-type calcium current (Wang et al. 1991) by juxtaposing it with a Hodgkin-Huxley-like model for fast sodium spiking in the high voltage regime to account for the distinct firing modes of thalamic neurons. We employ bifurcation analysis to illustrate the stimulus-response behavior of the full model under both voltage regimes. The model neuron shows continuous sodium spiking when depolarized sufficiently from rest. Depending on the parameters of calcium current inactivation, there are two types of low-voltage responses to a hyperpolarizing current step: a single rebound low threshold spike (LTS) upon release of the step and periodic LTSs. Bursting is seen as sodium spikes ride the LTS crest. In both cases, we analyze the LTS burst response by projecting its trajectory into a fast/slow phase plane. We also use phase plane methods to show that a potassium A-current shifts the threshold for sodium spikes, reducing the number of fast sodium spikes in an LTS burst. It can also annihilate periodic bursting. We extend the previous work of Rose and Hindmarsh (1989a–c) for a thalamic neuron and propose a simpler model for thalamic activity. We consider burst modulation by using a neuromodulator-dependent potassium leakage conductance as a control parameter. These results correspond with experiments showing that the application of certain neurotransmitters can switch firing modes. Received: 18 July 1993/Accepted in revised form: 22 January 1994     

Differential effects of maturation on nicotinic- and muscarinic receptor-induced ion secretion in guinea pig distal colon

The incidence of constipation increases with age. This has been linked to age-related changes in the structure and function of myenteric neurons regulating intestinal motility; however, the role of submucous neurons is unknown. The aim of this study was to determine the effect of maturation on cholinergic receptor-induced ion secretion in guinea pig colon. Changes in the short-circuit current (Isc) and tissue conductance were monitored in muscle-stripped colonic segments from young (3-4-month-old) and mature (12-15-month-old) male guinea pigs. Thirty-one percent of colonic segments from young guinea pigs exhibited ongoing neural activity, which was absent in mature animals. Baseline Isc was significantly higher only in young guinea pig tissues with ongoing activity. Tissue conductance was similar in all tissues. Electrical field stimulation caused a biphasic increase in the Isc. At 15 V/10 Hz, only Peak 1 was attenuated, whereas both peaks were reduced in mature guinea pigs at 10 V/5Hz. 1,1, dimethyl-4-phenyl-piperazinium(DMPP)-induced ion secretion was blunted in mature guinea pigs. Atropine reduced the 1,1, dimethyl-4-phenyl-piperazinium response only in young guinea pigs. Carbachol-induced ion secretion was similar in tissues from both age groups. In conclusion, nicotinic receptor-induced secretion mediated by both cholinergic and noncholinergic secretomotor neurons was blunted; however, epithelial muscarinic receptor activity was unaltered during maturation.     

Active neocortical processes during quiescent sleep

The neocortex and the thalamus constitute a unified oscillatory machine during different states of vigilance. The cortically generated slow sleep oscillation has the virtue of grouping other sleep rhythms, including those arising in the thalamus, within complex wave-sequences. Despite the coherent oscillatory activity in corticothalamic circuits, on the functional side there is dissociation between thalamus and neocortex during sleep. While dorsal thalamic neurons undergo inhibitory processes induced by prolonged spikebursts of GABAergic thalamic reticular neurons, the cortex displays, periodically, a rich spontaneous activity and preserves the capacity to process internally generated signals. Simultaneous intracellular recordings from thalamic and cortical neurons show that short-term plasticity processes occur after prolonged and rhythmic spike-bursts fired by thalamic and cortical neurons during slow-wave sleep oscillations. This may serve to support resonant phenomena and reorganize corticothalamic circuitry.     

Effects of active conductance distribution over dendrites on the synaptic integration in an identified nonspiking interneuron

The synaptic integration in individual central neuron is critically affected by how active conductances are distributed over dendrites. It has been well known that the dendrites of central neurons are richly endowed with voltage- and ligand-regulated ion conductances. Nonspiking interneurons (NSIs), almost exclusively characteristic to arthropod central nervous systems, do not generate action potentials and hence lack voltage-regulated sodium channels, yet having a variety of voltage-regulated potassium conductances on their dendritic membrane including the one similar to the delayed-rectifier type potassium conductance. It remains unknown, however, how the active conductances are distributed over dendrites and how the synaptic integration is affected by those conductances in NSIs and other invertebrate neurons where the cell body is not included in the signal pathway from input synapses to output sites. In the present study, we quantitatively investigated the functional significance of active conductance distribution pattern in the spatio-temporal spread of synaptic potentials over dendrites of an identified NSI in the crayfish central nervous system by computer simulation. We systematically changed the distribution pattern of active conductances in the neuron's multicompartment model and examined how the synaptic potential waveform was affected by each distribution pattern. It was revealed that specific patterns of nonuniform distribution of potassium conductances were consistent, while other patterns were not, with the waveform of compound synaptic potentials recorded physiologically in the major input-output pathway of the cell, suggesting that the possibility of nonuniform distribution of potassium conductances over the dendrite cannot be excluded as well as the possibility of uniform distribution. Local synaptic circuits involving input and output synapses on the same branch or on the same side were found to be potentially affected under the condition of nonuniform distribution while operation of the major input-output pathway from the soma side to the one on the opposite side remained the same under both conditions of uniform and nonuniform distribution of potassium conductances over the NSI dendrite.     

The myogenic component in distention-induced peristalsis in the guinea pig small intestine

In an in vitro model for distention-induced peristalsis in the guinea pig small intestine, the electrical activity, intraluminal pressure, and outflow of contents were studied simultaneously to search for evidence of myogenic control activity. Intraluminal distention induced periods of nifedipine-sensitive slow wave activity with superimposed action potentials, alternating with periods of quiescence. Slow waves and associated high intraluminal pressure transients propagated aborally, causing outflow of content. In the proximal small intestine, a frequency gradient of distention-induced slow waves was observed, with a frequency of 19 cycles/min in the first 1 cm and 11 cycles/min 10 cm distally. Intracellular recording revealed that the guinea pig small intestinal musculature, in response to carbachol, generated slow waves with superimposed action potentials, both sensitive to nifedipine. These slow waves also exhibited a frequency gradient. In addition, distention and cholinergic stimulation induced high-frequency membrane potential oscillations (~55 cycles/min) that were not associated with distention-induced peristalsis. Continuous distention produced excitation of the musculature, in part neurally mediated, that resulted in periodic occurrence of bursts of distally propagating nifedipine-sensitive slow waves with superimposed action potentials associated with propagating intraluminal pressure waves that caused pulsatile outflow of content at the slow wave frequency.     

The effect of variations in sodium conductances on pacemaking in a dopaminergic retinal neuron model

Dopaminergic neurons in the retina show spontaneous tetrodotoxin-sensitive pacemaking, which has been explained by a reduced Hodgkin-Huxley-type computer model. The present study used this model to investigate the effect of variations in transient and persistent sodium conductance values on pacemaking, under variable leakage conductance levels. This study indicated that transient sodium conductance plays an indispensable role in pacemaking, which occurs under conditions in which only a persistent sodium conductance is considerably reduced, thus contributing to a detailed understanding of the relationship between sodium conductance and pacemaking.