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We investigate mechanisms of the typically observed recoverable prevalence in epidemic spreading. Assuming the time-independent connectivity correlations, we analyze the dynamics of spreading on linearly growing scale-free (SF) networks,…

统计力学 · 物理学 2007-05-23 Yukio Hayashi

Developing networks of neural systems can exhibit spontaneous, synchronous activities called neural bursts, which can be important in the organization of functional neural circuits. Before the network matures, the activity level of a burst…

神经元与认知 · 定量生物学 2017-05-24 Chih-Hsu Huang , Yu-Ting Huang , Chun-Chung Chen , C. K. Chan

Realizations of low firing rates in neural networks usually require globally balanced distributions among excitatory and inhibitory links, while feasibility of temporal coding is limited by neuronal millisecond precision. We show that…

神经元与认知 · 定量生物学 2015-06-16 Roni Vardi , Amir Goldental , Hagar Marmari , Haya Brama , Edward Stern , Shira Sardi , Pinhas Sabo , Ido Kanter

Node similarity is a significant property driving the growth of real networks. In this paper, based on the observed spreading results we apply the node similarity metrics to reconstruct propagation networks. We find that the reconstruction…

物理与社会 · 物理学 2014-10-01 Hao Liao , An Zeng

Many networks of physical and biological interest are characterized by a long-range coupling mediated by a chemical which diffuses through a medium in which oscillators are embedded. We considered a one-dimensional model for this effect for…

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

In this work we study diffusion in networks with community structure. We first replicate and extend work on networks with non-overlapping community structure. We then study diffusion on network models that have overlapping community…

物理与社会 · 物理学 2015-03-19 Fergal Reid , Neil Hurley

Recurrent neural networks are powerful tools for understanding and modeling computation and representation by populations of neurons. Continuous-variable or "rate" model networks have been analyzed and applied extensively for these…

神经元与认知 · 定量生物学 2016-01-29 Brian DePasquale , Mark M. Churchland , L. F. Abbott

The coding properties of cells with different types of receptive fields have been studied for decades. ON-type neurons fire in response to positive fluctuations of the time-dependent stimulus, whereas OFF cells are driven by negative…

神经元与认知 · 定量生物学 2009-09-10 Eugenio Urdapilleta , Ines Samengo

Although recent neurophysiological experiments suggest that synchronous neural activity is involved in some perceptual and cognitive processes, the functional role of such coherent neuronal behavior is not well understood. As a first step…

神经元与认知 · 定量生物学 2007-05-23 Takaaki Aoki , Toshio Aoyagi

Neurons in the primary visual cortex are more or less selective for the orientation of a light bar used for stimulation. A broad distribution of individual grades of orientation selectivity has in fact been reported in all species. A…

神经元与认知 · 定量生物学 2015-06-19 Sadra Sadeh , Stefan Rotter

We investigate spreading properties of solutions of a large class of two-component reaction-diffusion systems, including prey-predator systems as a special case. By spreading properties we mean the long time behaviour of solution fronts…

偏微分方程分析 · 数学 2019-07-08 Arnaud Ducrot , Thomas Giletti , Hiroshi Matano

We consider the problem of inferring the functional connectivity of a large-scale computer network from sparse time series of events emitted by its nodes. We do so under the following three domain-specific constraints: (a) non-stationarity…

机器学习 · 计算机科学 2018-02-13 Antoine Messager , George Parisis , Istvan Z Kiss , Robert Harper , Phil Tee , Luc Berthouze

The way in which different types of dynamics unfold in complex networks is intrinsically related to the propagation of activation along nodes, which is strongly affected by the network connectivity. In this work we investigate to which…

物理与社会 · 物理学 2008-11-25 Luciano da Fontoura Costa

We study spreading on networks where the contact dynamics between the nodes is governed by a random process and where the inter-contact time distribution may differ from the exponential. We consider a process of imperfect spreading, where…

物理与社会 · 物理学 2016-07-07 Martin Gueuning , Jean-Charles Delvenne , Renaud Lambiotte

The objective of the present study is twofold. First, the last developments and validation results of a hybrid model designed to simulate fire patterns in heterogeneous landscapes are presented. The model combines the features of a…

大气与海洋物理 · 物理学 2016-02-08 Mohamed Drissi

We consider a fully-connected network of leaky integrate-and-fire neurons with spike-timing-dependent plasticity. The plasticity is controlled by a parameter representing the expected weight of a synapse between neurons that are firing…

神经元与认知 · 定量生物学 2011-09-23 Chun-Chung Chen , David Jasnow

This is the third part of our series of work devoted to the dynamics of an epidemic model with nonlocal diffusions and free boundary. This part is concerned with the rate of accelerated spreading for three types of kernel functions when…

偏微分方程分析 · 数学 2024-12-09 Lei Li , Mingxin Wang

While spike timing has been shown to carry detailed stimulus information at the sensory periphery, its possible role in network computation is less clear. Most models of computation by neural networks are based on population firing rates.…

神经元与认知 · 定量生物学 2015-07-17 Michael A. Schwemmer , Adrienne L. Fairhall , Sophie Denéve , Eric T. Shea-Brown

Two neural networks which are trained on their mutual output bits are analysed using methods of statistical physics. The exact solution of the dynamics of the two weight vectors shows a novel phenomenon: The networks synchronize to a state…

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