Dynamics of firing patterns, synchronization and resonances in neuronal electrical activities: experiments and analysis. (English) Zbl 1257.92015

Summary: Recent advances in experimental and theoretical studies of dynamics of the neuronal electrical firing activities are reviewed. Firstly, some experimental phenomena of neuronal irregular firing patterns, especially chaotic and stochastic firing patterns, are presented, and practical nonlinear time analysis methods are introduced to distinguish deterministic and stochastic mechanism in time series. Secondly, the dynamics of electrical firing activities in a single neuron is concerned, namely, fast-slow dynamics analysis for classification and mechanism of various bursting patterns, one- or two-parameter bifurcation analysis for transitions of firing patterns, and stochastic dynamics of firing activities (stochastic and coherence resonances, integer multiple and other firing patterns induced by noise, etc.). Thirdly, different types of synchronization of coupled neurons with electrical and chemical synapses are discussed. As noise and time delays are inevitable in nervous systems, it is found that noise and time delays may induce or enhance synchronization and change firing patterns of coupled neurons. Noise-induced resonance and spatiotemporal patterns in coupled neuronal networks are also demonstrated. Finally, some prospects are presented for future research. In consequence, the ideas and methods of nonlinear dynamics are of great significance in the exploration of dynamic processes and physiological functions of nervous systems.


92C20 Neural biology
92C05 Biophysics
92B25 Biological rhythms and synchronization
37N25 Dynamical systems in biology
Full Text: DOI


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