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The effect of intrinsic channel noise is investigated for the dynamic response of a neuronal cell with a delayed feedback loop. The loop is based on the so-called autapse phenomenon in which dendrites establish not only connections to…

生物物理 · 物理学 2014-12-22 Yunyun Li , Gerhard Schmid , Peter Hanggi , Lutz Schimansky-Geier

First spike latency following stimulus onset is of significant physiological relevance. Neurons transmit information about their inputs by transforming them into spike trains, and the timing of these spike trains is in turn crucial for…

生物物理 · 物理学 2014-03-27 Rukiye Uzun , Mahmut Ozer , Matjaz Perc

We study the time delay in the synaptic conductance for suppression of spike synchronisation in a random network of Hodgkin Huxley neurons coupled by means of chemical synapses. In the first part, we examine in detail how the time delay…

We numerically investigate the influence of intrinsic channel noise on the dynamical response of delay-coupling in neuronal systems. The stochastic dynamics of the spiking is modeled within a stochastic modification of the standard…

生物物理 · 物理学 2013-09-23 Xue Ao , Peter Hanggi , Gerhard Schmid

In this work we study the detection of weak stimuli by spiking neurons in the presence of certain level of noisy background neural activity. Our study has focused in the realistic assumption that the synapses in the network present…

神经元与认知 · 定量生物学 2009-06-04 Jorge F. Mejias , Joaquin J. Torres

The response of the Hodgkin-Huxley neuronal model subjected to stochastic uncorrelated spike trains originating from a large number of inhibitory and excitatory post-synaptic potentials is analyzed in detail. The model is examined in its…

无序系统与神经网络 · 物理学 2007-05-23 Stefano Luccioli , Thomas Kreuz , Alessandro Torcini

Chaos provides many interesting properties that can be used to achieve computational tasks. Such properties are sensitivity to initial conditions, space filling, control and synchronization. Chaotic neural models have been devised to…

神经与进化计算 · 计算机科学 2015-01-12 M. Alhawarat , T. Olde Scheper , N. T. Crook

Dynamics of an ensemble of $N$-unit FitzHugh-Nagumo (FN) neurons subject to white noises has been studied by using a semi-analytical dynamical mean-field (DMF) theory in which the original $2 N$-dimensional {\it stochastic} differential…

无序系统与神经网络 · 物理学 2009-11-07 Hideo Hasegawa

Understanding of short-term synaptic depression (STSD) and other forms of synaptic plasticity is a topical problem in neuroscience. Here we study the role of STSD in the formation of complex patterns of brain rhythms. We use a cortical…

无序系统与神经网络 · 物理学 2015-06-12 K. -E. Lee , A. V. Goltsev , M. A. Lopes , J. F. F. Mendes

Further analysis and experimentation is carried out in this paper for a chaotic dynamic model, viz. the Nonlinear Dynamic State neuron (NDS). The analysis and experimentations are performed to further understand the underlying dynamics of…

神经与进化计算 · 计算机科学 2014-08-19 Mohammad Alhawarat , Waleed Nazih , Mohammad Eldesouki

The impact of inhibitory and excitatory synapses in delay-coupled Hodgkin--Huxley neurons that are driven by noise is studied. If both synaptic types are used for coupling, appropriately tuned delays in the inhibition feedback induce…

神经元与认知 · 定量生物学 2012-05-01 Qingyun Wang , Honghui Zhang , Matjaz Perc , Guanrong Chen

Synaptic, dendritic and single-cell kinetics generate significant time delays that shape the dynamics of large networks of spiking neurons. Previous work has shown that such effective delays can be taken into account with a rate model…

神经元与认知 · 定量生物学 2014-01-31 Alex Roxin , Ernest Montbrio

Interest in understanding the interplay between noise and the response of a non-linear device cuts across disciplinary boundaries. It is as relevant for unmasking the dynamics of neurons in noisy environments as it is for designing reliable…

生物物理 · 物理学 2011-05-16 Cameron Sobie , Arif Babul , Rogerio de Sousa

Dynamics of a chaotic spiking neuron model are being studied mathematically and experimentally. The Nonlinear Dynamic State neuron (NDS) is analysed to further understand the model and improve it. Chaos has many interesting properties such…

人工智能 · 计算机科学 2013-10-29 Mohammad Alhawarat , Waleed Nazih , Mohammad Eldesouki

We study the noise activated dynamics of a model {\it autapse} neuron system that consists of a subcritical Hopf oscillator with a time delayed nonlinear feedback. The coherence of the noise driven pulses of the neuron exhibits a novel…

混沌动力学 · 物理学 2009-11-11 Gautam C Sethia , Juergen Kurths , Abhijit Sen

We study in this paper the effect of an unique initial stimulation on random recurrent networks of leaky integrate and fire neurons. Indeed given a stochastic connectivity this so-called spontaneous mode exhibits various non trivial…

神经与进化计算 · 计算机科学 2007-05-23 H. Soula , G. Beslon , O. Mazet

Kinetics of a balanced network of neurons with a sparse grid of synaptic links is well representable by the stochastic dynamics of a generic neuron subject to an effective shot noise. The rate of delta-pulses of the noise is determined…

神经元与认知 · 定量生物学 2025-10-31 Maria V. Ageeva , Denis S. Goldobin

The refractory period controls neuron spike firing rate, crucial for network stability and noise resistance. With advancements in spiking neural network (SNN) training methods, low-latency SNN applications have expanded. In low-latency…

神经与进化计算 · 计算机科学 2025-07-08 Liying Tao , Zonglin Yang , Delong Shang

The stochastic Hodgkin-Huxley neurons considered in this paper replace time-constant deterministic input $a dt$ of the classical deterministic model by increments $\vartheta dt + dX_t$ of a stochastic process: $X$ is Ornstein-Uhlenbeck with…

概率论 · 数学 2023-06-22 Reinhard Höpfner

While most models of randomly connected networks assume nodes with simple dynamics, nodes in realistic highly connected networks, such as neurons in the brain, exhibit intrinsic dynamics over multiple timescales. We analyze how the…

无序系统与神经网络 · 物理学 2019-09-11 Samuel P. Muscinelli , Wulfram Gerstner , Tilo Schwalger
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