Synchronization in the System of Synaptically Coupled Neural Oscillators with Frequency-Dependent Coupling
| Autor: | Victor B. Kazantsev, I. S. Prokin |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Physics
Coupling Spiking neural network Nuclear and High Energy Physics Quantitative Biology::Neurons and Cognition Astronomy and Astrophysics Statistical and Nonlinear Physics Synchronization Electronic Optical and Magnetic Materials Periodic function Complex dynamics medicine.anatomical_structure Transmission (telecommunications) Postsynaptic potential medicine Neuron Electrical and Electronic Engineering Biological system |
| Zdroj: | Radiophysics and Quantum Electronics. 57:745-758 |
| ISSN: | 1573-9120 0033-8443 |
| Popis: | We study the influence of the frequency-dependent coupling on synchronization in a model system of the synaptically coupled neural oscillators is studied. The ranges of parameters for which the locking of the frequency of the driven (output) neural oscillator is observed are obtained. The phase characteristics of oscillations in the synchronization regime are studied. The phase mappings are numerically plotted to describe the above-mentioned characteristics and analytical estimates for these mappings are obtained for certain restrictions imposed on the frequency characteristics of the oscillators. The effect of the frequency-dependent variation in the coupling is shown to lead to a substantial change (narrowing) of the synchronization regions compared with the case of fixed synaptic coupling. The study of the dynamical mechanisms of the electrochemical-signal transmission in the brain is referred to key fundamental problems of modern science. It is known in biophysics that the nerve cells (neurons) of the brain are capable of generating the pulsed activity signals (spikes) of electrochemical nature and send them to other neurons by synaptic couplings. Synaptic coupling is die to extraction of special chemical substances (neuromediators) by a transmitting (presynaptic or input) cell and detection of the above substances by a receiving (postsynaptic or output) cell. Therefore, the neural activity depends on both the intrinsic current state of the neuron and the state of other neurons influencing the above neuron, as well as on the properties of the synaptic couplings which are formed by the above neuron with the neighboring neurons. The problem of studying the dynamics of the transmitting neuron–synapse–receiving neuron system can be treated as a problem of oscillations of the neural oscillator under the action of an external pulsed force. The studies of synchronization in neural systems have been described in sufficiently many papers [1– 13]. In the majority of the classical works, the complex dynamics of the neural-oscillator response is usually associated with the complex nature of the own dynamics of neurons, which, depending on their type, can possess various periodic, quasi-periodic, and chaotic regimes [14–16] even without external actions. Under certain conditions, forcing by an external periodic signal can lead to forced neuron synchronization. In neurobiology, the effect of synchronization of the neurons in various parts of the brain is considered to be a basic phenomenon that is related to the sensor-information processing, associated perception, and motor coordination, as well as various pathologic alterations, for example, epileptiform activity [17–24]. Recent studies have shown that along with the complex dynamics of the neurons themselves, synaptic coupling can play an important role in the formation of the information functions due to the so-called |
| Databáze: | OpenAIRE |
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