Biology – Quantitative Biology – Neurons and Cognition
Scientific paper
2011-07-18
Biology
Quantitative Biology
Neurons and Cognition
9 pages, 9 figures
Scientific paper
A single inhibitory neuron with delayed feedback is considered. The neuron receives an excitatory input from the Poisson stream, and inhibitory impulses from the feedback line with delay. We investigate here, how does the feedback presence affect the output firing statistics of inhibitory neuron. Using binding neuron (BN) as a model, we derive exact analytical expressions for the output interspike intervals (ISI) probability density, mean output ISI and coefficient of variation as functions of model's parameters for the case of threshold 2. Using leaky integrate-and-fire (LIF) model, as well as BN model with higher thresholds, these statistical quantities are found numerically. In contrast to the previously studied situation of no feedback, the ISI probability densities found here both for BN and LIF neuron become bimodal and have discontinuity of jump type. Nevertheless, the delayed feedback presence was not found to affect substantially the output ISI coefficient of variation. The ISI coefficient of variation found ranges between 0.5 and 1. It is concluded that introduction of delayed feedback can radically change neuronal output firing statistics of inhibitory neuron. This statistics is as well distinct of what was found previously for excitatory neuron with delayed feedback.
Kravchuk Kseniya G.
Vidybida Alexander K.
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