Characteristics of action potential generation are important to understanding brain functioning and, thus, must be understood and modeled. It is still an open question what model can describe concurrently the phenomena of sharp spike shape, the spike threshold variability, and the divisive effect of shunting on the gain of frequency-current dependence. We reproduced these three effects experimentally by patch-clamp recordings in cortical slices, but we failed to simulate them by any of 11 known neuron models, including one- and multi-compartment, with Hodgkin-Huxley and Markov equation-based sodium channel approximations, and those taking into account sodium channel subtype heterogeneity. Basing on our voltage-clamp data characterizing the dependence of sodium channel activation threshold on history of depolarization, we propose a 3-state Markov model with a closed-to-open state transition threshold dependent on slow inactivation. This model reproduces the all three phenomena. As a reduction of this model, a leaky integrate-and-fire model with a dynamic threshold also shows the effect of gain reduction by shunt. These results argue for the mechanism of gain reduction through threshold dynamics determined by the slow inactivation of sodium channels.

The capability of memantine, a noncompetitive antagonist of the NMDA receptors, to prevent impairments of cognitive functions in rats was investigated in the lithium-pilocarpine model of epilepsy. After status epilepticus, rats exhibited impaired exploratory behavior and spatial memory, and a decline of extinction of orienting behavior. Memantine administration prevented these disturbances. Thus, the blockade of the NMDA receptors immediately after status epilepticus allowed prevention of the development of the possible cognitive impairments.

Calcium permeable AMPA receptors (CP AMPARs) play an important role in synaptic trans mission and plasticity, but they also can induce neuronal death under certain pathological conditions. The involvement of CP AMPARs in the pathogenesis of many diseases of the central nervous system makes them an attractive target for selective pharmacological blockade, to prevent and relieve pathological processes. However, the practical application of selective CP AMPAR channel blockers requires a thorough study of their effects on the functioning of neural networks under the normal conditions. The goal of this study was to clarify the role of CP AMPARs in the regulation of firing thresholds in different types of cortical neurons, as well as their involvement in maintaining the excitation/inhibition balance in the cortex. To do this, we have investigated the effects of CP AMPARs blockade on the amplitude of excitatory postsynaptic potentials (EPSPs) and the threshold of action potentials evoked by extracellular stimulation. Whole cell current clamp recordings were carried out from pyramidal cells and fast spiking interneurons in the slices of rat medial prefrontal cortex. CP AMPARs were blocked with a selective channel blocker IEM 1460 (100 µM), the dicationic derivative of adamantane. It was found that the blockade of CP AMPARs reduced the ampli tude EPSPs in interneurons but not in pyramidal cells. In addition, it reduced the firing threshold in pyrami dal cells via partial suppression of feedforward inhibition. Thus, the blockade of CP AMPA receptors shifts the balance between cortical excitation and inhibition toward excitation.

The activation of neurotransmitter receptors increases the current flow and membrane conductance and thus controls the firing rate of a neuron. In the present work, we justified the two-dimensional representation of a neuronal input by voltage-independent current and conductance and obtained experimentally and numerically a complete input-output (I/O) function. The dependence of the steady-state firing rate on the input current and conductance was studied as a two-parameter I/O function. We employed the dynamic patch clamp technique in slices to get this dependence for the whole domain of two input signals that evoke stationary spike trains in a single neuron (Ω-domain). As found, the Ω-domain is finite and an additional conductance decreases the range of spike-evoking currents. The I/O function has been reproduced in a Hodgkin-Huxley-like model. Among the simulated effects of different factors on the I/O function, including passive and active membrane properties, external conditions and input signal properties, the most interesting were: the shift of the right boundary of the Ω-domain (corresponding to the exCitation block) leftwards due to the decrease of the maximal potassium conductance; and the reduction of the Ω-domain by the decrease of the maximal sodium concentration. As found in experiments and simulations, the Ω-domain is reduced by the decrease of extracellular sodium concentration, by cooling, and by adding slow potassium currents providing interspike interval adaptation; the Ω-domain height is increased by adding color noise. Our modeling data provided a generalization of I/O dependencies that is consistent with previous studies and our experiments. Our results suggest that both current flow and membrane conductance should be taken into account when determining neuronal firing activity.

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