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We study a mechanism of activity sustaining on networks inspired by a well-known model of neuronal dynamics. Our primary focus is the emergence of self-sustaining collective activity patterns, where no single node can stay active by itself,…

物理与社会 · 物理学 2017-12-27 A. E. Allahverdyan , G. Ver Steeg , A. Galstyan

In neural circuits, synaptic strengths influence neuronal activity by shaping network dynamics, and neuronal activity influences synaptic strengths through activity-dependent plasticity. Motivated by this fact, we study a recurrent-network…

神经元与认知 · 定量生物学 2024-01-12 David G. Clark , L. F. Abbott

We introduce and study a new model of interacting neural networks, incorporating the spatial dimension (e.g. position of neurons across the cortex) and some learning processes. The dynamic of each neural network is described via the elapsed…

偏微分方程分析 · 数学 2020-09-03 Delphine Salort , Nicolas Torres

Recently, it has been shown that the communities in neuronal networks of the integrate-and-fire type can be identified by considering patterns containing the beginning times for each cell to receive the first non-zero activation. The…

神经元与认知 · 定量生物学 2008-01-31 Luciano da Fontoura Costa

Functional networks provide a topological description of activity patterns in the brain, as they stem from the propagation of neural activity on the underlying anatomical or structural network of synaptic connections. This latter is well…

无序系统与神经网络 · 物理学 2021-02-11 Ali Safari , Paolo Moretti , Ibai Diez , Jesus M. Cortes , Miguel Ángel Muñoz

There is increasing interest in developing the theoretical foundations of networked control systems that illuminate how brain networks function so as to enable sensory perception, control of movement, memory and all the operations that are…

系统与控制 · 电气工程与系统科学 2025-06-03 Zexin Sun , John Baillieul

Because diffusion typically involves symmetric interactions, scant attention has been focused on studying asymmetric cases. However, important networked systems underlain by diffusion (e.g. cortical networks and WWW) are inherently…

统计力学 · 物理学 2016-07-26 Cesar H. Comin , Matheus P. Viana , Lucas Antiqueira , Luciano da F. Costa

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

The continuous integration of experimental data into coherent models of the brain is an increasing challenge of modern neuroscience. Such models provide a bridge between structure and activity, and identify the mechanisms giving rise to…

神经元与认知 · 定量生物学 2017-03-03 Jannis Schuecker , Maximilian Schmidt , Sacha J. van Albada , Markus Diesmann , Moritz Helias

Recurrent neural networks in the chaotic regime exhibit complex dynamics reminiscent of high-level cortical activity during behavioral tasks. However, existing training methods for such networks are either biologically implausible, or…

神经元与认知 · 定量生物学 2015-12-09 Thomas Miconi

Here we consider the topological properties of the integrated networks emerging from the activity driven model [Perra at al. Sci. Rep. 2, 469 (2012)], a temporal network model recently proposed to explain the power-law degree distribution…

统计力学 · 物理学 2015-06-15 Michele Starnini , Romualdo Pastor Satorras

The aim of the present paper is to study the effects of Hebbian learning in random recurrent neural networks with biological connectivity, i.e. sparse connections and separate populations of excitatory and inhibitory neurons. We furthermore…

神经元与认知 · 定量生物学 2007-06-19 Benoit Siri , Mathias Quoy , Bruno Delord , Bruno Cessac , Hugues Berry

Activity-driven modeling has been recently proposed as an alternative growth mechanism for time varying networks, displaying power-law degree distribution in time-aggregated representation. This approach assumes memoryless agents developing…

物理与社会 · 物理学 2015-06-18 A. D. Medus , C. O. Dorso

In this paper, we clarify the mechanisms underlying a general phenomenon present in pulse-coupled heterogeneous inhibitory networks: inhibition can induce not only suppression of the neural activity, as expected, but it can also promote…

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

The concept of node walk in graphs and complex networks has been addressed, consisting of one or more nodes that move into adjacent nodes, henceforth incorporating the respective connections. This type of dynamics is then applied to subsume…

物理与社会 · 物理学 2024-06-07 Alexandre Benatti , Luciano da F. Costa

In many complex networked systems, such as online social networks, activity originates at certain nodes and subsequently spreads on the network through influence. In this work, we consider the problem of modeling the spread of influence and…

社会与信息网络 · 计算机科学 2017-07-18 Arun Sathanur , Mahantesh Halappanavar , Yi Shi , Walin Sagduyu

The modular and hierarchical organization of the brain is believed to support the coexistence of segregated (specialization) and integrated (binding) information processes. A relevant question is yet to understand how such architecture…

神经元与认知 · 定量生物学 2025-06-19 Raphaël Bergoin , Alessandro Torcini , Gustavo Deco , Mathias Quoy , Gorka Zamora-López

Functional networks of complex systems are obtained from the analysis of the temporal activity of their components, and are often used to infer their unknown underlying connectivity. We obtain the equations relating topology and function in…

无序系统与神经网络 · 物理学 2015-03-18 Víctor M. Eguíluz , Toni Pérez , Javier Borge-Holtoefer , Alex Arenas

The collective dynamics of a network of excitable nodes changes dramatically when inhibitory nodes are introduced. We consider inhibitory nodes which may be activated just like excitatory nodes but, upon activating, decrease the probability…

神经元与认知 · 定量生物学 2014-04-03 Daniel B. Larremore , Woodrow L. Shew , Edward Ott , Francesco Sorrentino , Juan G. Restrepo

In contrast to previous common wisdom that epidemic activity in heterogeneous networks is dominated by the hubs with the largest number of connections, recent research has pointed out the role that the innermost, dense core of the network…

物理与社会 · 物理学 2012-05-04 Claudio Castellano , Romualdo Pastor-Satorras
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