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

K.C. Iarosz, A.M. Batista, R.L. Viana, S.R. Lopes, I.L. Caldas and T.J.P. Penna

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 3, 819-827

Abstract: 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.

Keywords: Neuronal networks; Chemical synapses; Electrical synapses; Cellular automata (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:3:p:819-827

DOI: 10.1016/j.physa.2011.09.014

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