Noise-induced spatiotemporal patterns in Hodgkin–Huxley neuronal network

Abstract

The effect of noise on the pattern selection in a regular network of Hodgkin-Huxley neurons is investigated, and the transition of pattern in the network is measured from subexcitable to excitable media. Extensive numerical results confirm that kinds of travelling wave such as spiral wave, circle wave and target wave could be developed and kept alive in the subexcitable network due to the noise. In the case of excitable media under noise, the developed spiral wave and target wave could coexist and new target-like wave is induced near to the border of media. The averaged membrane potentials over all neurons in the network are calculated to detect the periodicity of the time series and the generated traveling wave. Furthermore, the firing probabilities of neurons in networks are also calculated to analyze the collective behavior of networks.

Suppression of firing activities in neuron and neurons of network induced by electromagnetic radiation

“…The propagating waves shown in our results correspond to an active state of the neuronal network [36,37]. Obviously, when electromagnetic radiation is present, the active state of the neuronal network is suppressed.…”

Introduction to Information Transmission in a Neuron-Astrocyte

“…The development of nonlinear science paves a reliable way to understand the transition of neuronal activities in neurons by using some reliable neuron model [4]. The dynamical properties of electric activities, stochastic resonance, coherence and synchronization of neurons have been investigated extensively [5].…”

Emitting waves from defects in network with autapses

“…The dynamical properties of electric activities, stochastic resonance, coherence and synchronization of neurons have been investigated extensively [3][4][5][6][7][8][9][10][11][12][13][14]. Furthermore, the collective behaviors of neuronal network have also been investigated by detecting the spatiotemporal pattern selection, transition of spatial distribution , such as pulse wave [20] in a ring network, target wave [30], spiral wave [16][17][18][19][31][32][33][34] in a two-dimensional array with different topological structures. In fact, in realistic neuronal system, the effect of other factors should be considered, for example, the action potential is also dependent on the gliocyte and it is interesting to study the cooperative behaviors of neuron and astrocyte [35].…”