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The instantaneous state of a neural network consists of both the degree of excitation of each neuron, the network is composed of, and positions of impulses in communication lines between neurons. In neurophysiological experiments, the…

神经元与认知 · 定量生物学 2015-03-17 Kseniya Kravchuk , Alexander Vidybida

Activity of inhibitory neuron with delayed feedback is considered in the framework of point stochastic processes. The neuron receives excitatory input impulses from a Poisson stream, and inhibitory impulses from the feedback line with a…

神经元与认知 · 定量生物学 2013-09-10 Alexander K. Vidybida , Kseniya G. Kravchuk

For a class of excitatory spiking neuron models with delayed feedback fed with a Poisson stochastic process, it is proven that the stream of output interspike intervals cannot be presented as a Markov process of any order. Keywords: spiking…

神经元与认知 · 定量生物学 2015-08-19 Alexander K. Vidybida

We consider a class of spiking neuronal models, defined by a set of conditions typical for basic threshold-type models, such as the leaky integrate-and-fire or the binding neuron model and also for some artificial neurons. A neuron is fed…

神经元与认知 · 定量生物学 2018-10-04 Alexander Vidybida , Olha Shchur

For a class of fast {\it Cl-}type inhibitory spiking neuron models with delayed feedback fed with a Poisson stochastic process of excitatory impulses, it is proven that the stream of output interspike intervals cannot be presented as a…

神经元与认知 · 定量生物学 2021-11-12 Alexander K. Vidybida

In spiking neural networks, the information is conveyed by the spike times, that depend on the intrinsic dynamics of each neuron, the input they receive and on the connections between neurons. In this article we study the Markovian nature…

应用统计 · 统计学 2012-11-07 Jonathan Touboul , Olivier Faugeras

In this paper, we study analytically the impact of an inhibitory autapse on neuronal activity. In order to do this, we formulate conditions on a set of non-adaptive spiking neuron models with delayed feedback inhibition, instead of…

神经元与认知 · 定量生物学 2022-10-13 Olha Shchur , Alexander Vidybida

A binding neuron (BN) whith delayed feedback is considered. The neuron is fed externally with a Poisson stream of intensity $\lambda$. The neuron's output spikes are fed into its input with time delay $\Delta$. The resulting output stream…

神经元与认知 · 定量生物学 2014-12-09 Alexander Vidybida

A class of spiking neuronal models with threshold 2 is considered. It is defined by a set of conditions typical for basic threshold-type models, such as the leaky integrate-and-fire (LIF) or the binding neuron model and also for some…

神经元与认知 · 定量生物学 2019-08-20 Olha Shchur , Alexander Vidybida

We present a first-order non-homogeneous Markov model for the interspike-interval density of a continuously stimulated spiking neuron. The model allows the conditional interspike-interval density and the stationary interspike-interval…

神经元与认知 · 定量生物学 2012-08-15 J. Tapson , C. Jin , A. van Schaik , R. Etienne-Cummings

The background activity of a cortical neural network is modeled by a homogeneous integrate-and-fire network with unreliable inhibitory synapses. Numerical and analytical calculations show that the network relaxes into a stationary state of…

无序系统与神经网络 · 物理学 2007-05-23 Wolfgang Kinzel

We consider a new class of non Markovian processes with a countable number of interacting components, both in discrete and continuous time. Each component is represented by a point process indicating if it has a spike or not at a given…

神经元与认知 · 定量生物学 2015-02-24 A. Galves , E. Löcherbach

We study a network of spiking neurons with heterogeneous excitabilities connected via inhibitory delayed pulses. For globally coupled systems the increase of the inhibitory coupling reduces the number of firing neurons by following a Winner…

无序系统与神经网络 · 物理学 2019-05-29 Stefano Luccioli , David Angulo Garcia , Alessandro Torcini

When inhibitory neurons constitute about 40% of neurons they could have an important antinociceptive role, as they would easily regulate the level of activity of other neurons. We consider a simple network of cortical spiking neurons with…

神经元与认知 · 定量生物学 2014-01-28 Fernando Montani , Emilia B. Deleglise , Osvaldo A. Rosso

We investigate the dynamics of a neural network where each neuron evolves according to the combined effects of deterministic integrate-and-fire dynamics and purely inhibitory coupling with K randomly-chosen "neighbors". The inhibition…

适应与自组织系统 · 物理学 2009-11-07 P. L. Krapivsky , S. Redner

Neurons in the intact brain receive a continuous and irregular synaptic bombardment from excitatory and inhibitory pre-synaptic neurons, which determines the firing activity of the stimulated neuron. In order to investigate the influence of…

神经元与认知 · 定量生物学 2017-05-23 Simona Olmi , David Angulo-Garcia , Alberto Imparato , Alessandro Torcini

The mammalian brain could contain dense and sparse network connectivity structures, including both excitatory and inhibitory neurons, but is without any clearly defined output layer. The neurons have time constants, which mean that the…

神经元与认知 · 定量生物学 2021-06-04 Udaya B. Rongala , Henrik Jörntell

We study a network model of two conductance-based pacemaker neurons of differing natural frequency, coupled with either mutual excitation or inhibition, and receiving shared random inhibitory synaptic input. The networks may phase-lock…

神经元与认知 · 定量生物学 2009-11-13 Ramana Dodla , Charles J. Wilson

We study analytically the dynamics of a network of sparsely connected inhibitory integrate-and-fire neurons in a regime where individual neurons emit spikes irregularly and at a low rate. In the limit when the number of neurons N tends to…

无序系统与神经网络 · 物理学 2007-05-23 N. Brunel , V. Hakim

The dynamical properties of a diluted fully-inhibitory network of pulse-coupled neurons are investigated. Depending on the coupling strength, two different phases can be observed. At low coupling the evolution rapidly converges towards…

无序系统与神经网络 · 物理学 2009-11-11 Ruediger Zillmer , Roberto Livi , Antonio Politi , Alessandro Torcini
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