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M Musila

Publications and source records attributed to M Musila.

5 recordsLinked to original sources
PubMed1992

Simulation of a diffusion process with randomly distributed jumps in neuronal context.

In stochastic neuronal models, an interspike interval corresponds to the time interval during which the process imitating the membrane potential reaches a threshold from an initial depolarization. For neurons with an extensive dendritic structure, a stochastic process combining diffusion and discontinuous development of its trajectory is considered a good description of the membrane potential. Due to a lack of analytical solutions of the threshold passage distribution for such a process, a method for computer simulation is introduced here. For the diffusion Ornstein-Uhlenbeck process with exponentially distributed moments of constant jumps a program is given. The relation between the simulation step, accuracy of simulation and amount of computing time required is discussed.

Computer Simulation↗
PubMed1992

Effects of afterhyperpolarization on neuronal firing.

Stein's model for a neuron is studied. This model is modified to take into account the effects of afterhyperpolarization on the neuronal firing. The relative refractory phase, following the absolute one, is modelled by a time-increasing amplitude of postsynaptic potentials and it is also incorporated into the model. Besides the simulation of the model, some theoretical results and approximation methods are derived. Afterhyperpolarization tends to preserve the linearity of the frequency transfer characteristic and it has a limited effect on the moments of the interspike intervals in general. The main effects are seen at high firing rates and in the removal of short intervals in the interspike interval histogram.

Animals↗
PubMed1991

Variable initial depolarization in Stein's neuronal model with synaptic reversal potentials.

The effect of a variable initial value is examined in Stein's stochastic neuronal model with synaptic reversal potentials under the conditions of a constant threshold and a constant input. The moments of the interspike interval distribution are presented as the functions of the initial depolarization which ranges from inhibitory reversal potential to the threshold potential. Normal, exponential and transformed Gamma distributions are tested for the initial value of depolarization. The coefficient of variation is shown to be greater than one when the initial depolarization is sufficiently above the resting level. An interpretation of this result in the terms of spatial facilitation is offered. The effect of a random initial value is found to be most pronounced for the neurons depolarized to a near threshold level.

Animals↗
PubMed1991

Generalized Stein's model for anatomically complex neurons.

A neuron with a large dendritic structure is considered. The number of synapses located on the dendrites is substantially higher than on the soma. The synaptic input effect on the neuronal excitability decreases with distance between a synapse ending and the trigger zone. Two areas are distinguished in accordance with the effect of synaptic input--dendritic and somatic. The dendritic area, when compared to the soma, is characterized by much higher intensity of its activation but the amplitudes of synaptically evoked changes of the membrane potential at the trigger zone are in general small. This situation is suitable for a diffusion approximation. However, on the soma, especially in the proximity of the trigger zone, the membrane potential changes are a large fraction of the threshold depolarization. The membrane potential at the trigger zone is modelled by a one-dimensional stochastic process. The diffusion Ornstein-Uhlenbeck process serves as a basis of the model; however, at the moments of somatic synapses activation its voltage changes in jumps. Their sizes represent the amplitudes of the evoked postsynaptic potentials. The unimodal histograms of interspike intervals can be explained by the model. The values of the coefficient of variation greater than one are connected with substantial inhibition.

Animals↗