Effects of Salicylic Acid and Its Salts on Electrical Activity of Neurons of <Emphasis Type="Italic">Helix albescens</Emphasis>

We studied changes in the parameters of electrical activity of identified neurons of the parietal ganglion, PPa1 and PPa2, and of non-identified cells of the visceral ganglion (VG) of the snail Helix albescens; these changes were caused by application of salicylic acid and its salts (cobalt and zinc salicylates, CS and ZS, respectively). The above substances began to modify significantly the functional state of the neurons under study when applied in concentrations of 10⁻⁴ to 10⁻³ M. Salicylic acid suppressed the activity of all studied neurons. Application of salicylic acid in the concentration of 10⁻³ M led to a decrease in the impulsation frequency of VG neurons by factors of 1.2 to 1.5 and to an increase in the duration of AP (on average, by 2.8 ± ± 0.6 msec). In PPa1 and PPa2 cells, we observed increases in both the AP duration (by 2.4 ± 0.8 and 3.6 ± ± 1.3 msec, respectively) and that of postactivation hyperpolarization (by 29.8 ± 11 0 and 39.6 ± 9.4 msec). In the concentration of 10⁻² M, salicylic acid completely but relatively reversibly suppressed the impulse activity of all the neurons under study, causing deep hyperpolarization of their membranes. Salts of this acid, CS and ZS, demonstrated significant modulatory effects on the activity of the studied neurons; these substances initiated or enhanced the grouping of APs in bursts and also increased the AP duration. Application of 10⁻³ M CS resulted in an increase in the AP duration by, on average, 2.75 ± 0.4 msec (only in the PPa2 neuron), whereas 10⁻³ M ZS exerted analogous effects on both above neurons (in PPa1, by 2.7 ± 0.4, while in PPa2, by 3.1 ± 0.6 msec). In the case where the tested salicylates were applied in the concentration of 10⁻² M, the AP duration increased in all the cells under study (on average, by 11.8 ± 2.46 msec in VG neurons, and by 7.0 ± ± 0.4 and 7.8 ± 1.2 msec in PPa1 and PPa2 cells, respectively). With application of CS, analogous values determined by application of ZS were 14.6 ± 4.6, 6.8 ± 0.54, and 9.0 ± 0.89 msec. We assume that the modulatory effects of salicylates are mediated by their influence on the intracellular system of cyclic nucleotides. Neirofiziologiya/Neurophysiology, Vol. 37, No. 2, pp. 142–150, March–April, 2005.     

Ghostbursting: A Novel Neuronal Burst Mechanism

Pyramidal cells in the electrosensory lateral line lobe (ELL) of weakly electric fish have been observed to produce high-frequency burst discharge with constant depolarizing current (Turner et al., 1994). We present a two-compartment model of an ELL pyramidal cell that produces burst discharges similar to those seen in experiments. The burst mechanism involves a slowly changing interaction between the somatic and dendritic action potentials. Burst termination occurs when the trajectory of the system is reinjected in phase space near the ghost of a saddle-node bifurcation of fixed points. The burst trajectory reinjection is studied using quasi-static bifurcation theory, that shows a period doubling transition in the fast subsystem as the cause of burst termination. As the applied depolarization is increased, the model exhibits first resting, then tonic firing, and finally chaotic bursting behavior, in contrast with many other burst models. The transition between tonic firing and burst firing is due to a saddle-node bifurcation of limit cycles. Analysis of this bifurcation shows that the route to chaos in these neurons is type I intermittency, and we present experimental analysis of ELL pyramidal cell burst trains that support this model prediction. By varying parameters in a way that changes the positions of both saddle-node bifurcations in parameter space, we produce a wide gallery of burst patterns, which span a significant range of burst time scales.     

Capturing the bursting dynamics of a two-cell inhibitory network using a one-dimensional map

Out-of-phase bursting is a functionally important behavior displayed by central pattern generators and other neural circuits. Understanding this complex activity requires the knowledge of the interplay between the intrinsic cell properties and the properties of synaptic coupling between the cells. Here we describe a simple method that allows us to investigate the existence and stability of anti-phase bursting solutions in a network of two spiking neurons, each possessing a T-type calcium current and coupled by reciprocal inhibition. We derive a one-dimensional map which fully characterizes the genesis and regulation of anti-phase bursting arising from the interaction of the T-current properties with the properties of synaptic inhibition. This map is the burst length return map formed as the composition of two distinct one-dimensional maps that are each regulated by a different set of model parameters. Although each map is constructed using the properties of a single isolated model neuron, the composition of the two maps accurately captures the behavior of the full network. We analyze the parameter sensitivity of these maps to determine the influence of both the intrinsic cell properties and the synaptic properties on the burst length, and to find the conditions under which multistability of several bursting solutions is achieved. Although the derivation of the map relies on a number of simplifying assumptions, we discuss how the principle features of this dimensional reduction method could be extended to more realistic model networks. Action Editor: John Rinzel     

The effect of inactivation of calcium channels by intracellular Ca2+ ions in the bursting pancreatic β-cells

Based on recently determined ionic channel properties, a simple theoretical model for the burst activity of the pancreatic β-cell is formulated in this paper. The model contains an inward voltage-activated Ca²⁺ current which is inactivated by intracellular calcium ions and an outward K⁺ current that is activated by the membrane potential. The probability of opening of the channel gates is represented by Boltzmann equations. Our model is applicable in a regime where an ATP-blockable K⁺ channel is inhibited. In this regime, glucose is treated as an activator for the rate of efflux of intracellular Ca²⁺ ions, and hence its effect is equated tok _Ca, the efflux rate constant. In addition, intracellular H⁺ ion, which is a byproduct of the glycolytic metabolic process, is treated as a competitive inhibitor for Ca²⁺ ion. Since H⁺ is a competitive inhibitor (according to our assumption), its effect is equated to the strength of the Ca_i dissociation constantK _h. In the model, a Ca²⁺ binding site is assumed to exist in the inner membrane of the voltage-gated Ca²⁺ channel. The model predicts that a spike and burst electrical pattern can be generated by varyingk _ca and that a given pattern may produce different levels of intracellular Ca²⁺ depending onK _h. In other words, it predicts that levels of [Ca²⁺]_i can be separated from the electrical activity by controlling the concentration of glucose and pH appropriately. This may account for the experimental observation of Lebrun et al. (1985) that insulin secretion is not correlated to the burst of electrical activity.     

Micromanipulation measurement of the mechanical properties of baker's yeast cells

The mechanical properties of a sample of baker's yeast cells were measured by micromanipulation. The relationship between the force required to burst a single cell and its corresponding diameter was established. For stationary phase cells, the compressive force required to burst a cell varied between 55 and 175N, with a mean value of 101 ± 2N. This is a substantial force compared to that required to burst a single mammalian cell (1.5–4.5N), which presumably reflects the lack of a cell wall of the latter. From measurements on 120 cells, there was no significant dependence of bursting force on yeast cell size. The micromanipulation method will be valuable for studying the dependence of mechanical properties of yeast cells on fermentation conditions, and the consequential effects of their behaviour in process disruption operations. © Rapid Science Ltd. 1998     

Modulation of SK channels regulates locomotor alternating bursting activity in the functionally-mature spinal cord

The spinal cord contains specialized groups of cells called pattern generators, which are capable of orchestrating rhythmic firing activity in an isolated preparation. Different patterns of activity could be generated in vitro including right-left alternating bursting and bursting in which both sides are synchronized. The cellular and network mechanisms that enable these behaviors are not fully understood. We have recently shown that Ca²⁺-activated K⁺ channels (SK channels) control the initiation and amplitude of synchronized bursting in the spinal cord. It is unclear, however, whether SK channels play a similar role in the alternating rhythmic pattern. In the current study, we used a spinal cord preparation from functionally mature mice capable of weight bearing and walking. The present results extend our previous work and show that SK channel inhibition initiates and modulates the amplitude of alternating bursting. We also show that addition of methoxamine, an α₁-adrenergic agonist, to a cocktail of serotonin, dopamine, and NMDA evokes robust and consistent alternating bursting throughout the cord.     

Fluctuation-driven rhythmogenesis in an excitatory neuronal network with slow adaptation

We study an excitatory all-to-all coupled network of N spiking neurons with synaptically filtered background noise and slow activity-dependent hyperpolarization currents. Such a system exhibits noise-induced burst oscillations over a range of values of the noise strength (variance) and level of cell excitability. Since both of these quantities depend on the rate of background synaptic inputs, we show how noise can provide a mechanism for increasing the robustness of rhythmic bursting and the range of burst frequencies. By exploiting a separation of time scales we also show how the system dynamics can be reduced to low-dimensional mean field equations in the limit N → ∞. Analysis of the bifurcation structure of the mean field equations provides insights into the dynamical mechanisms for initiating and terminating the bursts.     

Analysis of the effects of modulatory agents on a modeled bursting neuron: Dynamic interactions between voltage and calcium dependent systems

In a computational model of the bursting neuron R15, we have implemented proposed mechanisms for the modulation of two ionic currents (I _R andI _SI) that play key roles in regulating its spontaneous electrical activity. The model was sufficient to simulate a wide range of endogenous activity in the presence of various concentrations of serotonin (5-HT) or dopamine (DA). The model was also sufficient to simulate the responses of the neuron to extrinsic current pulses and the ways in which those responses were altered by 5-HT or DA. The results suggest that the actions of modulatory agents and second messengers on this neuron, and presumably other neurons, cannot be understood on the basis of their direct effects alone. It is also necessary to take into account the indirect effects of these agents on other unmodulated ion channels. These indirect effects occur through the dynamic interactions of voltage-dependent and calcium-dependent processes.