ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


Нелинейная динамика и нейронаука

Fractal analysis of neuron’s activity and model’s behavior

It is shown that discovered fractal properties of neuronal interspike interval sequence contradicts the reflex theory. The simplified model of formation and realization of individual experience based on reflex theory view of individual experience structure as a tree has been proposed. Behavior of the model does not show fractal properties. It is suggested that non­reflex model of individual experience structure formed as a tree of skills is needed. It is shown the possibility of nonlinear (fractal) properties estimation in the data for evaluation of a theory.

Simulator of the dynamic processes of sensor signal processing in talamo­cortical networks

Now models (simulators) of neural networks are actively developed. Their architecture and design are based on features of structure and principles of work of real neurons and neurobiological systems. Working out neurolike models based on the data about architecture of connections in a brain, it is aimed at finding­out of principles of work of its neural structures. In experimental researches it is revealed that interconnected neuronal modules such as cortex, reticular modules of thalamus, specific thalamus play the important role in processes of information processing.

Dynamic modes of the sensor signal consciousness in neuron­like models: ways to the «neuromorphic» intellect and problems

Universal models of neuron­like type, from which the systems of transformation and identification of information signals are constructed in accordance with pre­determined goals are considered. The models of different levels in a model system are aimed at performing functional operations characteristic of live systems. The presented set of base models and the most obvious dynamic modes of their operation can adequately describe the features of conscious perception and response of live systems to various sensor signals.

Problems of modeling and analysis of infrared thermo maps human brain

This paper presents the approaches and methods for modeling and analysis of the open human cerebral cortex IR­thermo maps. The main goal of the development is to solve fundamental problems: the selection of reliable informative features, which allow detecting abnormalities of the brain, to classify its types, and to delineate its boundaries. The created analytical tools are also directed to the studying fundamental problems related to the mechanisms of autoregulation and compensation in the brain.

Reconstruction of an evolution operator as a technique of analysis of epileptiform electric brain activity

We propose a new method for analysis of electroencephalograms. It is based on construction of a parameterized stochastic model of the observed process (evolution operator). A certain functional form of the evolution operator is proposed. This form describes deterministic properties of the investigated process, as well as stochastic ones. The parameters of the evolution operator are reconstructed from the experimental data by using the Bayesian approach. New («fast») dynamical variables, which allow for the peculiar features of electroencephalogram, are found.

Analysis of epileptic activity of brain in case of absence epilepsy: applied aspects of nonlinear dynamics

The paper summarizes the main results of analysis of electroencephalograms in rats with genetic predisposition to absence epilepsy (WAG/Rij rat strain). Properties of epileptic activity are described in time and in frequency domains; dynamics of epileptic activity is investigated, as well as changes in electroencephalogram structure prior to epileptic discharges. Physiologic interpretation of the investigated phenomena helps in better understanding of the nature of the investigated phenomena.

Wavelet analysis of sleep spindles on eeg and development of method for their automatic diagnostic

The detailed wavelet analysis of sleep electric brain activity, obtained from rats with genetic predisposition to absence-epilepsy, has been performed. Characteristic features of time-and-frequency structure of sleep spindles (oscillatory pattern, that serve as electroencephalographic correlate for slow-wave sleep) have been discovered in long-term electroencephalographic data. Operation has been performed using continuous wavelet transform.

Dynamics of local potentials of brain at the absence-epilepsy: empirical modelling

The EEG research technique on the basis of autoregressive models construction and Granger causality estimation by experimental data are described in this article. The EEG is written down from the brain of WAG/Rij rats, which are absence-epilepsy contaminated. The EEG episodes well enough described in terms of small order linear display along with the episodes with expressed nonlinearity are revealed during the analysis. The EEG episodes ordering is spent in accordance with the model parameters received and physio-logical condition of the animals.

Autonomous and nonautonomous dynamics of functional model of serotonergic neuron

Serotonin is a key modulator of neuronal activity both at the system level and at the level of local (short­range) interactions. However, in contrast to the synaptically connected neuron ensembles, there are much less qualitative models that describe the serotonin­controlled neural circuits.

Creativity – unpredictability and information production

It is possible or not using formulas to penetrate the most intimate sphere of human cognitive functions – his creative laboratory. After all, even the air in this sphere filled with ambiguity and  improvisation. In the last three-five years, such attempts are verysuccessfully taken by the  physiologists, psychologists and experts in nonlinear physics. In this article we look at two examples  of creative processes – writing poems and jazz improvisation.

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