Spiking Activity of a LIF Neuron in Distributed Delay Framework
Autor:
Kumar Choudhary, Saket
; Singh, Karan
; Kumar Solanki, Vijender
Fecha:
2016Palabra clave:
Tipo de Ítem:
Articulo Revista IndexadaDirección web:
https://www.ijimai.org/journal/bibcite/reference/2550
Resumen:
Evolution of membrane potential and spiking
activity for a single leaky integrate-and-fire (LIF) neuron in
distributed delay framework (DDF) is investigated. DDF provides
a mechanism to incorporate memory element in terms of delay
(kernel) function into a single neuron models. This investigation
includes LIF neuron model with two different kinds of delay kernel
functions, namely, gamma distributed delay kernel function and
hypo-exponential distributed delay kernel function. Evolution
of membrane potential for considered models is studied in terms
of stationary state probability distribution (SPD). Stationary
state probability distribution of membrane potential (SPDV)
for considered neuron models are found asymptotically similar
which is Gaussian distributed. In order to investigate the effect
of membrane potential delay, rate code scheme for neuronal
information processing is applied. Firing rate and Fano-factor
for considered neuron models are calculated and standard LIF
model is used for comparative study. It is noticed that distributed
delay increases the spiking activity of a neuron. Increase in
spiking activity of neuron in DDF is larger for hypo-exponential
distributed delay function than gamma distributed delay function.
Moreover, in case of hypo-exponential delay function, a LIF neuron
generates spikes with Fano-factor less than 1.
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