The influence of connectivity on the firing rate in a neuronal network with electrical and chemical synapses

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• 作者：K.C.  ; Iarosz^a ; A.M.  ; Batista^b ; R.L.  ; Viana^c ;   ; ^{viana@fisica.ufpr.br} ; S.R.  ; Lopes^c ; I.L.  ; Caldas^d ; T.J.P.  ; Penna^e
• 关键词：Neuronal networks ; Chemical synapses ; Electrical synapses ; Cellular automata
• 刊名：Physica A
• 出版年：2012
• 出版时间：1 February 2012
• 年：2012
• 卷：391
• 期：3
• 页码：819-827
• 全文大小：1031 K

文摘

We study the firing rate properties of a cellular automaton model for a neuronal network with chemical synapses. We propose a simple mechanism in which the nonlocal connections are included, through electrical and chemical synapses. In the latter case, we introduce a time delay which produces self-sustained activity. Nonlocal connections, or shortcuts, are randomly introduced according to a specified connection probability. There is a range of connection probabilities for which neuron firing occurs, as well as a critical probability for which the firing ceases in the absence of time delay. The critical probability for nonlocal shortcuts depends on the network size according to a power-law. We also compute the firing rate amplification factor by varying both the connection probability and the time delay for different network sizes.