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The time elapsed model describes the firing activity of an homogeneous assembly of neurons thanks to the distribution of times elapsed since the last discharge. It gives a mathematical description of the probability density of neurons…

偏微分方程分析 · 数学 2011-09-16 Khashayar Pakdaman , Benoît Perthame , Delphine Salort

We report a detailed study of neuromorphic switching behaviour in inherently complex percolating networks of self-assembled metal nanoparticles. We show that variation of the strength and duration of the electric field applied to this…

无序系统与神经网络 · 物理学 2019-03-06 S. K. Bose , S. Shirai , J. B. Mallinson , S. A. Brown

Real-world networks in technology, engineering and biology often exhibit dynamics that cannot be adequately reproduced using network models given by smooth dynamical systems and a fixed network topology. Asynchronous networks give a…

动力系统 · 数学 2017-02-07 Christian Bick , Michael Field

We assess electrical brain dynamics before, during, and after one-hundred human epileptic seizures with different anatomical onset locations by statistical and spectral properties of functionally defined networks. We observe a concave-like…

神经元与认知 · 定量生物学 2013-11-25 Kaspar A. Schindler , Stephan Bialonski , Marie-Therese Horstmann , Christian E. Elger , Klaus Lehnertz

We examine the dynamical properties of a single-layer convolutional recurrent network with a smooth sigmoidal activation function, for small values of the inputs and when the convolution kernel is unitary, so all eigenvalues lie exactly at…

统计力学 · 物理学 2024-05-24 Aditi Chandra , Marcelo O. Magnasco

We have developed different network approaches to complex patterns of frictional interfaces (contact areas developments). Here, we analyze the dynamics of static friction. We found, under the correlation measure, the fraction of triangles…

地球物理 · 物理学 2012-02-24 H. O. Ghaffari , R. P. Young

One major challenge in neuroscience is the identification of interrelations between signals reflecting neural activity and how information processing occurs in the neural circuits. At the cellular and molecular level, mechanisms of signal…

应用统计 · 统计学 2019-09-27 Giacomo Aletti , Davide Lonardoni , Giovanni Naldi , Thierry Nieus

An emerging paradigm proposes that neural computations can be understood at the level of dynamical systems that govern low-dimensional trajectories of collective neural activity. How the connectivity structure of a network determines the…

神经元与认知 · 定量生物学 2021-05-28 Manuel Beiran , Alexis Dubreuil , Adrian Valente , Francesca Mastrogiuseppe , Srdjan Ostojic

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

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

Natural and technological networks exhibit dynamics that can lead to complex cooperative behaviors, such as synchronization in coupled oscillators and rhythmic activity in neuronal networks. Understanding these collective dynamics is…

适应与自组织系统 · 物理学 2026-05-15 Felix Augustsson , Erik Andreas Martens

Spike time response curves (STRC's) are used to study the influence of synaptic stimuli on the firing times of a neuron oscillator without the assumption of weak coupling. They allow us to approximate the dynamics of synchronous state in…

神经元与认知 · 定量生物学 2013-04-24 Sachin S. Talathi , Dong-Uk Hwang , Abraham Miliotis , Paul R. Carney , William L. Ditto

Communication networks show the small-world property of short paths, but the spreading dynamics in them turns out slow. We follow the time evolution of information propagation through communication networks by using the SI model with…

物理与社会 · 物理学 2011-02-25 M. Karsai , M. Kivelä , R. K. Pan , K. Kaski , J. Kertész , A. -L. Barabási , J. Saramäki

We study some mechanisms responsible for synchronous oscillations and loss of synchrony at physiologically relevant frequencies (10-200 Hz) in a network of heterogeneous inhibitory neurons. We focus on the factors that determine the level…

神经元与认知 · 定量生物学 2007-05-23 J. A. White , C. C. Chow , J. Ritt , C. Soto-Trevino , N. Kopell

Persistent activity is postulated to drive neural network plasticity and learning. To investigate its underlying cellular mechanisms, we developed a biophysically tractable model that explains the emergence, sustenance, and eventual…

神经元与认知 · 定量生物学 2009-11-13 Vladislav Volman , Richard Gerkin , Pak-Ming Lau , Eshel Ben-Jacob , Guo-Qiang Bi

We propose a stochastic dynamical model of noisy neural networks with complex architectures and discuss activation of neural networks by a stimulus, pacemakers and spontaneous activity. This model has a complex phase diagram with…

无序系统与神经网络 · 物理学 2015-05-13 A. V. Goltsev , F. V. de Abreu , S. N. Dorogovtsev , J. F. F. Mendes

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

Epileptic seizures are characterised by abnormal brain dynamics at multiple scales, engaging single neurons, neuronal ensembles and coarse brain regions. Key to understanding the cause of such emergent population dynamics, is capturing the…

神经元与认知 · 定量生物学 2022-12-13 Dominic RW Burrows

For modeling complex synaptic connectivity, we consider the Watts-Strogatz small-world network which interpolates between regular lattice and random network via rewiring, and investigate the effect of small-world connectivity on emergence…

神经元与认知 · 定量生物学 2014-07-11 Sang-Yoon Kim , Woochang Lim

Identifying the spatio-temporal network structure of brain activity from multi-neuronal data streams is one of the biggest challenges in neuroscience. Repeating patterns of precisely timed activity across a group of neurons is potentially…

神经元与认知 · 定量生物学 2009-03-03 Casey Diekman , Kohinoor Dasgupta , Vijay Nair , P. S. Sastry , K. P. Unnikrishnan