Mathematical Model of Bursting in Dissociated Purkinje Neurons

In vitro, Purkinje cell behaviour is sometimes studied in a dissociated soma preparation in which the dendritic projection has been cleaved. A fraction of these dissociated somas spontaneously burst. The mechanism of this bursting is incompletely understood. We have constructed a biophysical Purkinje soma model, guided and constrained by experimental reports in the literature, that can replicate the somatically driven bursting pattern and which hypothesises Persistent Na⁺ current (I_NaP) to be its burst initiator and SK K⁺ current (I_SK) to be its burst terminator.     

Control of Locomotion In Vitro: II. Chemical Stimulation

Previous studies have described the presence of alternating activity induced in left and right ventral roots of the neonate rat in vitro brainstem-spinal cord preparation, following application of certain neuroactive substances to the bathing solution. The present findings show the presence of chemically induced, adult-like coordinated airstepping demonstrated by electromyographic recordings in the hindlimb-attached in vitro brainstem-spinal cord preparation. Analysis of muscular activity demonstrated alternation between antagonists of one limb and between agonists of different limbs, as well as a proximodistal delay in agonists active at different joints of the same limb. Neuroactive agents were applied independently to either the brainstem or spinal cord bath. The substances surveyed in the present studies included some of those used previously, as well as additional compounds: bicuculline and picrotoxin (γ-aminobutyric acid-ergic antagonists), N-methyl-D-aspartic acid (excitatory amino acid agonist), substance P, acetylcholine, carbachol (cholinergic agonist), and serotonin. Application of these substances to the brainstem bath produced rhythmic airstepping. Application of dopamine, aspartate, glutamate, and N-methyl-D-aspartic acid to the spinal cord bath also produced rhythmic airstepping, while application of acetylcholine produced tonic, long-lasting co-contractions. These findings reveal the presence of several neurochemical systems in the central nervous system that can be activated at birth to induce coordinated airstepping in the neonate rat in vitro brainstem-spinal cord preparation.     

Modeling of Rhythmogenesis in an Ensemble of Cortical Neurons Connected with Electrical Synapses

Based on our own data on generation of spindle-like field electrical activity in neuronal barrels of the rat somatic cortex and also on the published data on the properties of voltage-dependent channels in the membranes of cortical cells, we developed a model of the ensemble (simple network) of neurons connected by electrical synapses. Such connections were found earlier in neurophysiological and ultramicroscopic studies. Model neurons with membranes having sodium, potassium, and calcium channels described in the literature were capable of generating bursting rhythmic impulse activity under conditions of switching off of synaptic connections between cells (isolation). With switching on of electrical synapses, spiking generated by separate neurons, which initially was nonsynchronous, became synchronized in time. Ipso facto, we demonstrated the ability of pacemaker oscillatory activity to be electrotonically synchronized in ensembles of neurons connected with electrical synapses.     

Modeling of Substance P and 5-HT Induced Synaptic Plasticity in the Lamprey Spinal CPG: Consequences for Network Pattern Generation

Consequences of synaptic plasticity in the lamprey spinal CPG are analyzed by means of simulations. This is motivated by the effects substance P (a tachykinin) and serotonin (5-hydroxytryptamin; 5-HT) have on synaptic transmission in the locomotor network. Activity-dependent synaptic depression and potentiation have recently been shown experimentally using paired intracellular recordings. Although normally activity-dependent plasticity presumably does not contribute to the patterning of network activity, this changes in the presence of the neuromodulators substance P and 5-HT, which evoke significant plasticity. Substance P can induce a faster and larger depression of inhibitory connections but potentiation of excitatory inputs, whereas 5-HT induces facilitation of both inhibitory and excitatory inputs. Changes in the amplitude of the first postsynaptic potential are also seen. These changes could thus be a potential mechanism underlying the modulatory role these substances have on the rhythmic network activity.The aim of the present study has been to implement the activity dependent synaptic depression and facilitation induced by substance P and 5-HT into two alternative models of the lamprey spinal locomotor network, one relying on reciprocal inhibition for bursting and one in which each hemicord is capable of oscillations. The consequences of the plasticity of inhibitory and excitatory connections are then explored on the network level.In the intact spinal cord, tachykinins and 5-HT, which can be endogenously released, increase and decrease the frequency of the alternating left-right burst pattern, respectively. The frequency decreasing effect of 5-HT has previously been explained based on its conductance decreasing effect on K _Ca underlying the postspike afterhyperpolarization (AHP). The present simulations show that short-term synaptic plasticity may have strong effects on frequency regulation in the lamprey spinal CPG. In the network model relying on reciprocal inhibition, the observed effects substance P and 5-HT have on network behavior (i.e., a frequency increase and decrease respectively) can to a substantial part be explained by their effects on the total extent and time dynamics of synaptic depression and facilitation. The cellular effects of these substances will in the 5-HT case further contribute to its network effect.     

Mechanisms of Left-Right Coordination in Mammalian Locomotor Pattern Generation Circuits: A Mathematical Modeling View

The locomotor gait in limbed animals is defined by the left-right leg coordination and locomotor speed. Coordination between left and right neural activities in the spinal cord controlling left and right legs is provided by commissural interneurons (CINs). Several CIN types have been genetically identified, including the excitatory V3 and excitatory and inhibitory V0 types. Recent studies demonstrated that genetic elimination of all V0 CINs caused switching from a normal left-right alternating activity to a left-right synchronized “hopping” pattern. Furthermore, ablation of only the inhibitory V0 CINs (V0_D subtype) resulted in a lack of left-right alternation at low locomotor frequencies and retaining this alternation at high frequencies, whereas selective ablation of the excitatory V0 neurons (V0_V subtype) maintained the left–right alternation at low frequencies and switched to a hopping pattern at high frequencies. To analyze these findings, we developed a simplified mathematical model of neural circuits consisting of four pacemaker neurons representing left and right, flexor and extensor rhythm-generating centers interacting via commissural pathways representing V3, V0_D, and V0_V CINs. The locomotor frequency was controlled by a parameter defining the excitation of neurons and commissural pathways mimicking the effects of N-methyl-D-aspartate on locomotor frequency in isolated rodent spinal cord preparations. The model demonstrated a typical left-right alternating pattern under control conditions, switching to a hopping activity at any frequency after removing both V0 connections, a synchronized pattern at low frequencies with alternation at high frequencies after removing only V0_D connections, and an alternating pattern at low frequencies with hopping at high frequencies after removing only V0_V connections. We used bifurcation theory and fast-slow decomposition methods to analyze network behavior in the above regimes and transitions between them. The model reproduced, and suggested explanation for, a series of experimental phenomena and generated predictions available for experimental testing.     

Mechanisms of Generation of Pacemaker Activity by Identified Helix Neurons

We studied the mechanisms of generation of pacemaker activity in identified neurons of Helix pomatia. For this purpose, we isolated the PPa2 and PPa7 neurons generating spontaneous rhythmic monomodal activity and PPa1 neuron with bursting activity. It was demonstrated that isolated PPa2 and PPa7 cells produce endogenous rhythmic activity that was not considerably modified by external application of 1 mM CdCl₂. Sometimes, only low-amplitude dendritic action potentials (AP) were observed instead of generation of full-amplitude somatic AP. In contrast, isolation of the PPa1 neuron eliminated its bursting activity, but subsequent application of oxytocin on this neuron recovered such activity. This finding shows that the bursting activity of the PPa1 neuron is of an exogenous nature. Application of 1 mM CdCl₂ suppressed this bursting activity, but when Cd²⁺ was applied against the background of superfusion of the neuron with Ringer solution containing a bursting activity-initiating neuropeptide obtained from the molluscan CNS, this blocker was incapable of suppressing the bursting activity. A blocker of the hyperpolarization-activated current (I _h , H current), Cs⁺ (10 mM) exerted no noticeable effect on the activity of the studied neurons. Our findings allow us to conclude that the pacemaker activity is initiated within the dendritic tree of a cell and is then electrotonically spread to the soma, where full-amplitude AP are generated. It seems probable that Ca²⁺ ions and H current are not directly involved in generation of the pacemaker activity in the studied snail neurons.     

Modulation of Calcium-dependent Chloride Secretion by Basolateral SK4-like Channels in a Human Bronchial Cell Line

The human bronchial cell line16HBE14o– was used as a model of airway epithelial cells to study the Ca²⁺-dependent Cl^– secretion and the identity of K_Ca channels involved in the generation of a favorable driving force for Cl^– exit. After ionomycin application, a calcium-activated short-circuit current (I _sc) developed, presenting a transient peak followed by a plateau phase. Both phases were inhibited to different degrees by NFA, glybenclamide and NPPB but DIDS was only effective on the peak phase. ⁸⁶Rb effluxes through both apical and basolateral membranes were stimulated by calcium, blocked by charybdotoxin, clotrimazole and TPA. 1-EBIO, a SK-channel opener, stimulated ⁸⁶Rb effluxes. Block of basolateral K_Ca channels resulted in I _sc inhibition but, while reduced, I _sc was still observed if mucosal Cl^– was lowered. Among SK family members, only SK4 and SK1 mRNAs were detected by RT-PCR. KCNQ1 mRNAs were also identified, but involvement of K_cAMP channels in Cl^– secretion was unlikely, since cAMP application had no effect on ⁸⁶Rb effluxes. Moreover, chromanol 293B or clofilium, specific inhibitors of KCNQ1 channels, had no effect on cAMP-dependent I _sc. In conclusion, two distinct components of Cl^– secretion were identified by a pharmacological approach after a Ca _i ²⁺ rise. K_Ca channels presenting the pharmacology of SK4 channels are present on both apical and basolateral membranes, but it is the basolateral SK4-like channels that play a major role in calcium-dependent chloride secretion in 16HBE14o– cells.     

Neural mechanisms potentially contributing to the intersegmental phase lag in lamprey

Most previous models of the spinal central pattern generator (CPG) underlying locomotion in the lamprey have relied on reciprocal inhibition between the left and right side for oscillations to be produced. Here, we have explored the consequences of using self-oscillatory hemisegments. Within a single hemisegment, the oscillations are produced by a network of recurrently coupled excitatory neurons (E neurons) that by themselves are not oscillatory but when coupled together through N-methyl-d-aspartate (NMDA) and α-amino-3-hydroxy-5-methyl-4-isoxazolepropionicacid (AMPA)/kainate transmission can produce oscillations. The bursting mechanism relies on intracellular accumulation of calcium that activates Ca²⁺-dependent K⁺. The intracellular calcium is modeled by two different intracellular calcium pools, one of which represents the calcium entry following the action potential, Ca_AP pool, and the other represents the calcium inflow through the NMDA channels, Ca_NMDA pool. The Ca²⁺-dependent K⁺ activated by these two calcium pools are referred to as K_CaAP and K_CaNMDA, respectively, and their relative conductances are modulated and increase with the background activation of the network. When changing the background stimulation, the bursting activity in this network can be made to cover a frequency range of 0.5–5.5 Hz with reasonable burst proportions if the adaptation is modulated with the activity. When a chain of such hemisegments are coupled together, a phase lag along the chain can be produced. The local oscillations as well as the phase lag is dependent on the axonal conduction delay as well as the types of excitatory coupling that are assumed, i.e. AMPA/kainate and/or NMDA. When the caudal excitatory projections are extended further than the rostral ones, and assumed to be of approximately equal strength, this kind of network is capable of reproducing several experimental observations such as those occurring during strychnine blockade of the left-right reciprocal inhibition. Addition of reciprocally coupled inhibitory neurons in such a network gives rise to antiphasic activity between the left and right side, but not necessarily to any change of the frequency if the burst proportion of the hemisegmental bursts is well below 50%. Prolongation of the C neuron projection in the rostrocaudal direction restricts the phase lag produced by only the excitatory hemisegmental network by locking together the interburst intervals at different levels of the spinal cord. Received: 29 September 1998 Accepted in Revised Form: 26 March 1999     

Involvement of apamin-sensitive SK channels in spike frequency adaptation of neurons in nucleus tractus solitarii of the rat

We delineated the role of Ca²⁺-activated K⁺ channels in the phenomenon of spike frequency adaptation (SFA) exhibited by neurons in the caudal region of nucleus tractus solitarius (cNTS) using intracellular recording coupled with the current-clamp technique in rat brain slices. Intracellular injection of a constant depolarizing current evoked a train of action potentials whose discharge frequency declined rapidly to a lower steady-state level of irregular discharges. This manifested phenomenon of SFA was found to be related to extracellular Ca²⁺. Low Ca²⁺ (0.25 mM) or Cd²⁺ (0.5 mM) in the perfusing medium resulted in a significant increase in the adaptation time constant (_adap) and an appreciable reduction in the percentage adaptation of spike frequency (F_adap). In addition, the evoked discharges were converted from an irregular to a regular pattern, accompanied by a profound increase in mean firing rate. Intriguingly, similar alterations in _adap, F_adap, discharge pattern and discharge rate were elicited by apamin (1 µM), a selective blocker for small-conductance Ca²⁺-activated K⁺ (SK) channels. On the other hand, charybdotoxin (0.1 µM), a selective blocker for large-conductance Ca²⁺-activated K⁺ channels, was ineffective. Our results suggest that SK channels of cNTS neurons may subserve the generation of both SFA and irregular discharge patterns displayed by action potentials evoked with a prolonged depolarizing current.     

The in vitro neonatal rat spinal cord preparation: a new insight into mammalian locomotor mechanisms

The in vitro neonatal rat spinal cord preparation is the first mammalian nervous system isolated from the brainstem to the caudal end of the spinal cord. It permits the study of the cellular properties of mammalian locomotor networks and is unique in containing all the nervous structures related to locomotion. Although being a very immature system, this model has been considered as an adult preparation in which mammalian locomotor central pattern generators can be studied in detail. Nevertheless, one can also follow the development of locomotor functions during the perinatal period. Contrary to the adult, all neuroactive substances can directly reach the cellular structures in the brainstem-spinal cord preparation. When a neuroactive substance is applied to the bath, a single rhythmic activity is recorded along the cord. In fact, three rhythms can be isolated: one at the cervical level for the forelimbs, one at the lumbar level for the hind limbs and one in the sacrococcygeal region for the tail. Studies carried out on this preparation deal with three major areas: (1) relations between spontaneous activity and maturation of spinal network, (2) organisation of the different spinal networks, (3) key role of the descending pathways.Abbreviations 5-HT serotonin - ADP after-depolarization - AHP after-hyperpolarization - CPG central pattern generator - E0-E21 embryonic day 0–21 - INs interneurones - MLR mesencephalic locomotor region - MNs motoneurones - NMA N-methyl-d,l-aspartic acid - P0-P21 postnatal day 0–21 - PCPA p-chloro phenylalanin     

Functional Expression of T-Type Ca2+ Channels in Spinal Motoneurons of the Adult Turtle

Voltage-gated Ca²⁺ (Ca_V) channels are transmembrane proteins comprising three subfamilies named Ca_V1, Ca_V2 and Ca_V3. The Ca_V3 channel subfamily groups the low-voltage activated Ca²⁺ channels (LVA or T-type) a significant role in regulating neuronal excitability. Ca_V3 channel activity may lead to the generation of complex patterns of action potential firing such as the postinhibitory rebound (PIR). In the adult spinal cord, these channels have been found in dorsal horn interneurons where they control physiological events near the resting potential and participate in determining excitability. In motoneurons, Ca_V3 channels have been found during development, but their functional expression has not yet been reported in adult animals. Here, we show evidence for the presence of Ca_V3 channel-mediated PIR in motoneurons of the adult turtle spinal cord. Our results indicate that Ni²⁺ and NNC55-0396, two antagonists of Ca_V3 channel activity, inhibited PIR in the adult turtle spinal cord. Molecular biology and biochemical assays revealed the expression of the Ca_V3.1 channel isotype and its localization in motoneurons. Together, these results provide evidence for the expression of Ca_V3.1 channels in the spinal cord of adult animals and show also that these channels may contribute to determine the excitability of motoneurons.     

Properties of the apamin-sensitive component of Ca2+-dependent K+ current in smooth muscle cells of the guinea pigtaenia coli

With the help of a standard voltage-clamp technique, we investigated transmembrane ion currents in isolated smooth muscle cells of the guinea pigtaenia coli. In Ca²⁺-dependent K⁺ current, we identified and studied the properties of an apamin-sensitive voltage-independent component carried through the channels of low conductance (in many publications called small conductance,I _SK(Ca)). This component did not show the temporal inactivation;I _SK(Ca) was insensitive to the action of 4 mM tetraethylammonium, but was completely blocked by 500 nM of apamin. It was shown thatI _SK(Ca) is very sensitive to changes in the intracellular Ca²⁺ concentration ([Ca²⁺] _i ): a decrease in [Ca²⁺] _i up to 50 nM resulted in the almost complete blockade of the current. The entry of Ca ions into a cell from the external solution through the voltage-operated Ca²⁺ channels of L-type was not an obligatory condition for activation ofI _SK(Ca). The current-voltage relationship forI _SK(Ca) had a maximum within the voltage range of +20 to +50 mV. Neirofiziologiya/Neurophysiology, Vol. 32, No. 2, pp. 87–94, March–April, 2000.     

Bisoprolol reversed small conductance calcium-activated potassium channel (SK) remodeling in a volume-overload rat model

A recent study indicated that apamin-sensitive current (I _KAS, mediated by apamin-sensitive small conductance calcium-activated potassium channels subunits) density significantly increased in heart failure and led to recurrent spontaneous ventricular fibrillation. While the underlying molecular correlation with SK channels is still undetermined, we hypothesized that they are remodeled in HF and that bisoprolol could reverse the remodeling. Volume-overload models were created on male Sprague-Dawley rats by producing an abdominal arteriovenous fistula. Confocal microscopy, quantitative real-time PCR, and western blot were performed to investigate the expression of SK channels and observe the influence of β-blocker bisoprolol on the expression of SK channels I _KAS, and the effect of bisoprolol on I _KAS and the sensitivity of I _KAS to [Ca²⁺]i at single isolated cells were also explored using whole-cell patch clamp techniques. SK channels were remodeled in HF rats, displaying the significant increase of SK1 and SK3 channel expression. After the treatment of HF rats with bisoprolol, the expression of SK1 and SK3 channels was significantly downregulated, and bisoprolol effectively downregulated I _KAS density as well as the sensitivity of I _KAS to [Ca²⁺]i. Our data indicated that the expression of SK1 and SK3 increased in HF. Bisoprolol effectively attenuated the change and downregulated I _KAS density as well as the sensitivity of I _KAS to [Ca²⁺]i.     

Ion Channel Phenotype of Melanoma Cell Lines

Melanoma cells are transformed melanocytes of neural crest origin. K⁺ channel blockers have been reported to inhibit melanoma cell proliferation. We used whole-cell recording to characterize ion channels in four different human melanoma cell lines (C8161, C832C, C8146, and SK28). Protocols were used to identify voltage-gated (K_V), Ca²⁺-activated (K_Ca), and inwardly rectifying (K_IR) K⁺ channels; swelling-sensitive Cl⁻ channels (Cl_swell); voltage-gated Ca²⁺ channels (Ca_V) and Ca²⁺ channels activated by depletion of intracellular Ca²⁺ stores (CRAC); and voltage-gated Na⁺ channels (Na_V). The presence of Ca²⁺ channels activated by intracellular store depletion was further tested using thapsigargin to elicit a rise in [Ca²⁺] _i . The expression of K⁺ channels varied widely between different cell lines and was also influenced by culture conditions. K_IR channels were found in all cell lines, but with varying abundance. Whole-cell conductance levels for K_IR differed between C8161 (100 pS/pF) and SK28 (360 pS/pF). K_Ca channels in C8161 cells were blocked by 10 nm apamin, but were unaffected by charybdotoxin (CTX). K_Ca channels in C8146 and SK28 cells were sensitive to CTX (K _d = 4 nm), but were unaffected by apamin. K_V channels, found only in C8146 cells, activated at ∼−20 mV and showed use dependence. All melanoma lines tested expressed CRAC channels and a novel Cl_swell channel. Cl_swell current developed at 30 pS/sec when the cells were bathed in 80% Ringer solution, and was strongly outwardly rectifying (4:1 in symmetrical Cl⁻). We conclude that different melanoma cell lines express a diversity of ion channel types. Received: 2 April 1996/Revised: 22 August 1996     

Apamin Boosting of Synaptic Potentials in CaV2.3 R-Type Ca2+ Channel Null Mice

SK2- and K_V4.2-containing K⁺ channels modulate evoked synaptic potentials in CA1 pyramidal neurons. Each is coupled to a distinct Ca²⁺ source that provides Ca²⁺-dependent feedback regulation to limit AMPA receptor (AMPAR)- and NMDA receptor (NMDAR)-mediated postsynaptic depolarization. SK2-containing channels are activated by Ca²⁺ entry through NMDARs, whereas K_V4.2-containing channel availability is increased by Ca²⁺ entry through SNX-482 (SNX) sensitive Ca_V2.3 R-type Ca²⁺ channels. Recent studies have challenged the functional coupling between NMDARs and SK2-containing channels, suggesting that synaptic SK2-containing channels are instead activated by Ca²⁺ entry through R-type Ca²⁺ channels. Furthermore, SNX has been implicated to have off target affects, which would challenge the proposed coupling between R-type Ca²⁺ channels and K_V4.2-containing K⁺ channels. To reconcile these conflicting results, we evaluated the effect of SK channel blocker apamin and R-type Ca²⁺ channel blocker SNX on evoked excitatory postsynaptic potentials (EPSPs) in CA1 pyramidal neurons from Ca_V2.3 null mice. The results show that in the absence of Ca_V2.3 channels, apamin application still boosted EPSPs. The boosting effect of Ca_V2.3 channel blockers on EPSPs observed in neurons from wild type mice was not observed in neurons from Ca_V2.3 null mice. These data are consistent with a model in which SK2-containing channels are functionally coupled to NMDARs and K_V4.2-containing channels to Ca_V2.3 channels to provide negative feedback regulation of EPSPs in the spines of CA1 pyramidal neurons.     

Immunolocalization and expression of small‐conductance calcium‐activated potassium channels in human myometrium

Small‐conductance calcium‐activated potassium (SK3) channels have been detected in human myometrium and we have previously shown a functional role of SK channels in human myometrium in vitro. The aims of this study were to identify the precise localization of SK3 channels and to quantify SK3 mRNA expression in myometrium from pregnant and non‐pregnant women. Myometrial biopsies were obtained from pregnant (n = 11) and non‐pregnant (n = 11) women. The expression of SK3 channels was assessed using immunohistochemistry and SK3 mRNA was determined by qRT‐PCR. In non‐pregnant myometrium SK3 immunoreactivity was observed in CD34 positive (CD34⁺) interstitial Cajal‐like cells (ICLC), now called telocytes. Although CD34⁺ cells were also present in pregnant myometrium, they lacked SK3 immunoreactivity. Furthermore, the immunohistochemical results showed that SK3 expression in vascular endothelium was similar between the two groups. CD117 immunoreactivity was only detected in small round cells that resemble mast cells. Compared to non‐pregnant myometrium we found significantly less SK3 mRNA in pregnant myometrium. We demonstrate that SK3 channels are localized solely in CD34⁺ cells and not in smooth muscle cells, and that the molecular expression of SK3 channels is higher in non‐pregnant compared to pregnant myometrium. On the basis of our previous study and the present findings, we propose that SK3 activators reduce contractility in human myometrium by modulating telocyte function. This is the first report to provide evidence for a possible role of SK3 channels in human uterine telocytes.     

Helix neurons invovled in control of rhythmic movement in the pneumostome

Three neurons capable of generating coordinated bursting activity or synchronized slow-wave fluctuations in membrane potential (MP) were identified in the left parietal ganglion ofHelix pomatia. The function of these units contributes to regulating rhythmic opening and closing movements in the pneumostome. Both bursting activity and slow-wave neuronal MP synchronize with rhythmic movements of the pneumostome. Onset of bursting activity and fluctuations in MP on the one hand or suppression of these effects due to different influences on the cells on the other leads to initiation or extinction of pneumostome movements respectively. These neurons do not exhibit endogenous bursting activity but do produce a fairly high rate of firing activity without bursting pattern and without slow-waves in MP in isolation. Bursting activity occurs in these neurons in the intact central nervous system (CNS) as a result of gigantic synchronized IPSP in some cases and due to the aforementioned slow waves in MP and in others. No direct chemically- or electrically-operated synaptic connections exist between the three cells. Serotonin triggers both waves in MP and bursting activity in all three neurons in the intact CNS and exerts a pronounced hyperpolarizing action on each of these factors in isolation.N. K. Kol'tsov Institute of Developmental Biology, Academy of Sciences of the USSR. Moscow. Balaton Limnological Research Institute of the Hungarian Academy of Sciences, Tihany. Translated from Neirofiziologiya, Vol. 20, No. 4, pp. 509–517, July–August, 1988.     

A multivariate population density model of the dLGN/PGN relay

Using a population density approach we study the dynamics of two interacting collections of integrate-and-fire-or-burst (IFB) neurons representing thalamocortical (TC) cells from the dorsal lateral geniculate nucleus (dLGN) and thalamic reticular (RE) cells from the perigeniculate nucleus (PGN). Each population of neurons is described by a multivariate probability density function that satisfies a conservation equation with appropriately defined probability fluxes and boundary conditions. The state variables of each neuron are the membrane potential and the inactivation gating variable of the low-threshold Ca²⁺ current I_T. The synaptic coupling of the populations and external excitatory drive are modeled by instantaneous jumps in the membrane potential of postsynaptic neurons. The population density model is validated by comparing its response to time-varying retinal input to Monte Carlo simulations of the corresponding IFB network composed of 100 to 1000 cells per population. In the absence of retinal input, the population density model exhibits rhythmic bursting similar to the 7 to 14 Hz oscillations associated with slow wave sleep that require feedback inhibition from RE to TC cells. When the TC and RE cell potassium leakage conductances are adjusted to represent cholingergic neuromodulation and arousal of the network, rhythmic bursting of the probability density model may either persists or be eliminated depending on the number of excitatory (TC to RE) or inhibitory (RE to TC) connections made by each presynaptic cell. When the probability density model is stimulated with constant retinal input (10–100 spikes/sec), a wide range of responses are observed depending on cellular parameters and network connectivity. These include asynchronous burst and tonic spikes, sleep spindle-like rhythmic bursting, and oscillations in population firing rate that are distinguishable from sleep spindles due to their amplitude, frequency, or the presence of tonic spikes. In this context of dLGN/PGN network modeling, we find the population density approach using 2,500 mesh points and resolving membrane voltage to 0.7 mV is over 30 times more efficient than 1000-cell Monte Carlo simulations. Action Editor: David Golomb     

Low dose of dopamine may stimulate prolactin secretion by increasing fast potassium currents

Dopamine (DA) released from the hypothalamus tonically inhibits pituitary lactotrophs. DA (at micromolar concentration) opens potassium channels, hyperpolarizing the lactotrophs and thus preventing the calcium influx that triggers prolactin hormone release. Surprisingly, at concentrations ∼1000 lower, DA can stimulate prolactin secretion. Here, we investigated whether an increase in a K⁺ current could mediate this stimulatory effect. We considered the fast K⁺ currents flowing through large-conductance BK channels and through A-type channels. We developed a minimal lactotroph model to investigate the effects of these two currents. Both I _BK and I _A could transform the electrical pattern of activity from spiking to bursting, but through distinct mechanisms. I _BK always increased the intracellular Ca²⁺ concentration, while I _A could either increase or decrease it. Thus, the stimulatory effects of DA could be mediated by a fast K⁺ conductance which converts tonically spiking cells to bursters. In addition, the study illustrates that a heterogeneous distribution of fast K⁺ conductances could cause heterogeneous lactotroph firing patterns. Action Editor: Christiane Linster     

Mechanisms of spontaneous activity in developing spinal networks

Developing networks of the chick spinal cord become spontaneously active early in development and remain so until hatching. Experiments using an isolated preparation of the spinal cord have begun to reveal the mechanisms responsible for this activity. Whole-cell and optical recordings have shown that spinal neurons receive a rhythmic, depolarizing synaptic drive and experience rhythmic elevations of intracellular calcium during spontaneous episodes. Activity is expressed throughout the neuraxis and can be produced by different parts of the cord and by the isolated brain stem, suggesting that it does not depend upon the details of network architecture. Two factors appear to be particularly important for the production of endogenous activity. The first is the predominantly excitatory nature of developing synaptic connections, and the second is the presence of prolonged activity-dependent depression of network excitability. The interaction between high excitability and depression results in an equilibrium in which episodes are expressed periodically by the network. The mechanism of the rhythmic bursting within an episode is not understood, but it may be due to a “fast” form of network depression. Spontaneous embryonic activity has been shown to play a role in neuron and muscle development, but is probably not involved in the initial formation of connections between spinal neurons. It may be important in refining the initial connections, but this possibility remains to be explored. © 1998 John Wiley & Sons, Inc. J Neurobiol 37: 131–145, 1998

1 This article is a US Government work and, as such, is in the public domain in the United States of America.