Dynamics of uncoupled and coupled neurons under an external pulsed current

The effect of time delay for synchronisation suppression in neuronal networks

“…The neurons behave more similarly to the case in which the network is under random perturbations. This analyse is interesting and complement a recent observation which indicates that same effects appear in a scenario of weak coupling [18].…”

“…The external current density I i is responsible for the generation of the spike dynamics. As one of our main goals is to study spike synchronisation suppression, we uniformly distribute I 0 i ∈ [10,14] µA/cm 2 , once in this range all HH neurons are in spike activities with inter-spike intervals (ISI) in [13, 14.6] ms [18]. The behaviour of the HH neuron is separated into two different states.…”

“…Differently from the electric synapses, in which the interactions among neurons are practically instantaneous due to the direct transfer of ions, chemical synapses depend on the release of neurotransmitters, which are associated with some delay until the post-synaptic neuron i receives the signal sent from the pre-synaptic neuron k [23]. Inspired by some works in the area that present a reasonable configuration to mimic the behaviour of a neuronal network [17,18,19,24], we build a network with N = 100 HH neurons randomly coupled with a probability of connections p = 0.1. The initial conditions are randomly distributed in V i ∈ [−80, 0] mV and n i = m i = h i = 0.…”

“…Chatterjee and Robert [28] demonstrated that if some amount of noise is introduced into a stimulus, it is possible to improve the auditory perception in cochlear implants. With this in mind, we perform numerical analysis for a delayed network when three different types of pulsed perturbations (periodical, random and mixed) are introduced [18]. We study how the ranges of time delay can affect neuronal synchronous behaviour.…”

“…We explore the effects of delayed conductance on neuronal activities as an alternative method for suppressing or reducing of synchronous patterns. Such analyses are carried out in two different scenarios, where firstly the neuronal network has no external perturbation on the inputs, and secondly when pulse perturbations (for instance sensory sensory stimulation) with periodic, random, and mixed profiles are considered [18]. In both cases, we discuss the conditions and parameters in which the time delay is able or not to hold low levels of spike synchronisation in neuronal networks.…”