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The experimental study of neural networks requires simultaneous measurements of a massive number of neurons, while monitoring properties of the connectivity, synaptic strengths and delays. Current technological barriers make such a mission…

神经元与认知 · 定量生物学 2016-01-12 Amir Goldental , Pinhas Sabo , Shira Sardi , Roni Vardi , Ido Kanter

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

We investigate the equilibria of a random model network exhibiting extensive chaos. In this regime, a large number of equilibria is present. They are all saddles with low-dimensional unstable manifolds. Surprisingly, despite network's…

无序系统与神经网络 · 物理学 2025-10-23 Xiaoyu Yang , Giancarlo La Camera , Gianluigi Mongillo

We find that sensory noise delivered together with a weak periodic signal not only enhances nonlinear response of neuronal networks, but also improves the synchronization of the response to the signal. We reveal this phenomenon in neuronal…

神经元与认知 · 定量生物学 2015-08-25 M. A. Lopes , K. -E. Lee , A. V. Goltsev , J. F. F. Mendes

The brain may be thought of as a many-body architecture with a spatio-temporal dynamics described by neuronal structures. The oscillatory nature of brain activity allows these structures (nodes) to be described as a set of coupled…

神经元与认知 · 定量生物学 2021-02-03 J. Mendoza-Ruiz , C. E. Alonso-Malaver , M. Valderrama , O. A. Rosso , J. H. Martínez

We propose a new framework for the study of continuous time dynamical systems on networks. We view such dynamical systems as collections of interacting control systems. We show that a class of maps between graphs called graph fibrations…

动力系统 · 数学 2018-08-30 Lee DeVille , Eugene Lerman

Characterizing the in uence of network properties on the global emerging behavior of interacting elements constitutes a central question in many areas, from physical to social sciences. In this article we study a primary model of disordered…

无序系统与神经网络 · 物理学 2013-10-08 Luis Carlos Garcidel Molino , Khashayar Pakdaman , Jonathan Touboul , Gilles Wainrib

Comprehending the interplay between spatial and temporal characteristics of neural dynamics can contribute to our understanding of information processing in the human brain. Graph neural networks (GNNs) provide a new possibility to…

神经元与认知 · 定量生物学 2022-04-29 Simon Wein , Alina Schüller , Ana Maria Tomé , Wilhelm M. Malloni , Mark W. Greenlee , Elmar W. Lang

The brain is formed by cortical regions that are associated with different cognitive functions. Neurons within the same region are more likely to connect than neurons in distinct regions, making the brain network to have characteristics of…

神经元与认知 · 定量生物学 2023-05-17 P. R. Protachevicz , F. S. Borges , A. M. Batista , M. S. Baptista , I. L. Caldas , E. E. N. Macau , E. L. Lameu

We analyze the collective dynamics of hierarchically structured networks of densely connected spiking neurons. These networks of sub-networks may represent interactions between cell assemblies or different nuclei in the brain. The dynamical…

神经元与认知 · 定量生物学 2018-09-14 Fereshteh Lagzi , Fatihcan M. Atay , Stefan Rotter

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

Spiking Neural Networks (SNNs) offer energy-efficient and biologically plausible alternatives to traditional artificial neural networks, but their performance depends critically on the tuning of neuron model parameters. In this work, we…

神经与进化计算 · 计算机科学 2025-07-22 Szymon Mazurek , Jakub Caputa , Maciej Wielgosz

We study the dynamics of networks with inhibitory and excitatory leaky-integrate-and-fire neurons with short-term synaptic plasticity in the presence of depressive and facilitating mechanisms. The dynamics is analyzed by a Heterogeneous…

无序系统与神经网络 · 物理学 2016-01-20 M. di Volo , R. Burioni , M. Casartelli , R. Livi , A. Vezzani

Synaptic interactions structure the phase space of the dynamics of neural circuits and constrain neural computation. Understanding how requires methods that handle those discrete interactions, yet few exist. Recently, it was discovered that…

无序系统与神经网络 · 物理学 2019-05-15 Maximilian Puelma Touzel , Fred Wolf

Cortical slow oscillations are an emergent property of the cortical network, a hallmark of low complexity brain states like sleep, and represent a default activity pattern. Here, we present a methodological approach for quantifying the…

Network inference, the task of reconstructing interactions in a complex system from experimental observables, is a central yet extremely challenging problem in systems biology. While much progress has been made in the last two decades,…

定量方法 · 定量生物学 2024-09-12 Stephen Y Zhang

Over the past two decades, complex network theory provided the ideal framework for investigating the intimate relationships between the topological properties characterizing the wiring of connections among a system's unitary components and…

How the information microscopically processed by individual neurons is integrated and used in organizing the behavior of an animal is a central question in neuroscience. The coherence of neuronal dynamics over different scales has been…

无序系统与神经网络 · 物理学 2020-03-11 Takashi Hayakawa , Tomoki Fukai

We here study a network of synaptic relations mingling excitatory and inhibitory neuron nodes that displays oscillations quite similar to electroencephalogram (EEG) brain waves, and identify abrupt variations brought about by swift synaptic…

神经元与认知 · 定量生物学 2021-02-17 Jorge Pretel , Joaquin J. Torres , J. Marro

Early brain connectivity development consists of multiple stages: birth of neurons, their migration and the subsequent growth of axons and dendrites. Each stage occurs within a certain period of time depending on types of neurons and…

神经元与认知 · 定量生物学 2015-03-16 Sol Lim , Marcus Kaiser
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