Article ID Journal Published Year Pages File Type
1895983 Chaos, Solitons & Fractals 2011 6 Pages PDF
Abstract

A chaotic model of spontaneous (without external stimulus) neuron firing has been analyzed by mapping the irregular spiking time-series into telegraph signals. In this model the fundamental frequency of chaotic Rössler attractor provides (with a period doubling) the strong periodic component of the generated irregular signal. The exponentially decaying broad-band part of the spectrum of the Rössler attractor has been transformed by the threshold firing mechanism into a scaling tale. These results are compared with irregular spiking time-series obtained in vitro from a spontaneous activity of hippocampal (CA3) singular neurons (rat’s brain slice culture). The comparison shows good agreement between the model and experimentally obtained spectra.

► A chaotic model of spontaneous neuron firing. ► Mapping the irregular spiking time-series into telegraph signals. ► Fundamental frequency of the Rossler attractor provides periodic component. ► Spiking time-series from spontaneous activity of hippocampal neurons. ► Comparison shows good agreement between the model and the experiment.

Related Topics
Physical Sciences and Engineering Physics and Astronomy Statistical and Nonlinear Physics
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