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We are concerned about burst synchronization (BS), related to neural information processes in health and disease, in the Barab\'{a}si-Albert scale-free network (SFN) composed of inhibitory bursting Hindmarsh-Rose neurons. This inhibitory…

神经元与认知 · 定量生物学 2018-08-21 Sang-Yoon Kim , Woochang Lim

Synchronization is an important collective phenomenon in interacting oscillatory agents. Many functional features of the brain are related to synchronization of neurons. The type of synchronization transition that may occur (explosive vs.…

无序系统与神经网络 · 物理学 2020-03-18 Mahsa Khoshkhou , Afshin Montakhab

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

While recent advances in next-generation neural mass models provide exact descriptions of densely coupled neural populations in the thermodynamic limit, populations in vivo remain strictly finite in size. Finite-size effects introduce…

混沌动力学 · 物理学 2026-05-19 S. Yu. Kirillov , O. A. Goryunov , J. Zhu , V. V. Klinshov

The synchronization behavior of networked chaotic oscillators with periodic coupling is investigated. It is observed in simulations that the network synchronizability could be significantly influenced by tuning the coupling frequency, even…

混沌动力学 · 物理学 2018-07-18 Sansan Li , Na Sun , Li Chen , Xingang Wang

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

Many biological neuronal networks exhibit highly variable spiking activity. Balanced networks offer a parsimonious model of this variability. In balanced networks, strong excitatory synaptic inputs are canceled by strong inhibitory inputs…

神经元与认知 · 定量生物学 2016-05-04 Ryan Pyle , Robert Rosenbaum

By varying the noise intensity, we study stochastic spiking coherence (i.e., collective coherence between noise-induced neural spikings) in an inhibitory population of subthreshold neurons (which cannot fire spontaneously without noise).…

生物物理 · 物理学 2011-11-01 Woochang Lim , Sang-Yoon Kim

A network of propagating nonlinear oscillatory modes (waves) in the human brain is shown to generate collectively synchronized spiking activity (hypersynchronous spiking) when both amplitude and phase coupling between modes are taken into…

生物物理 · 物理学 2021-04-28 Vitaly L. Galinsky , Lawrence R. Frank

The brain has the phenomenal ability to reorganize itself by forming new connections among neurons and by pruning others. The so-called neural or brain plasticity facilitates the modification of brain structure and function over different…

The collective behaviour of neural networks depends on the cellular and synaptic properties of the neurons. The phase-response curve (PRC) is an experimentally obtainable measure of cellular properties that quantifies the shift in the next…

适应与自组织系统 · 物理学 2019-12-24 Abolfazl Ziaeemehr , Mina Zarei , Aida Sheshbolouki

We study synchronization dynamics in networks of coupled oscillators with bimodal distribution of natural frequencies. This setup can be interpreted as a simple model of frequency synchronization dynamics among generators and loads working…

物理与社会 · 物理学 2012-07-03 Sergi Lozano , Lubos Buzna , Albert Díaz-Guilera

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

We numerically study a directed small-world network consisting of attractively coupled, identical phase oscillators. While complete synchronization is always stable, it is not always reachable from random initial conditions. Depending on…

无序系统与神经网络 · 物理学 2015-03-13 Ralf Toenjes , Naoki Masuda , Hiroshi Kori

An essential step toward understanding neural circuits is linking their structure and their dynamics. In general, this relationship can be almost arbitrarily complex. Recent theoretical work has, however, begun to identify some broad…

神经元与认知 · 定量生物学 2017-03-10 Gabriel Koch Ocker , Yu Hu , Michael A. Buice , Brent Doiron , Krešimir Josić , Robert Rosenbaum , Eric Shea-Brown

Many real-world networks are directed, sparse and hierarchical, with a mixture of feed-forward and feedback connections with respect to the hierarchy. Moreover, a small number of 'master' nodes are often able to drive the whole system. We…

无序系统与神经网络 · 物理学 2022-06-22 Niall Rodgers , Peter Tino , Samuel Johnson

This paper studies a stochastic neural field model that is extended from our previous paper [14]. The neural field model consists of many heterogeneous local populations of neurons. Rigorous results on the stochastic stability are proved,…

概率论 · 数学 2018-07-06 Yao Li , Hui Xu

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

We study the effects of periodic subthreshold pacemaker activity and time-delayed coupling on stochastic resonance over scale-free neuronal networks. As the two extreme options, we introduce the pacemaker respectively to the neuron with the…

神经元与认知 · 定量生物学 2009-06-09 Qingyun Wang , Matjaz Perc , Zhisheng Duan , Guanrong Chen

Similar activity patterns may arise from model neural networks with distinct coupling properties and individual unit dynamics. These similar patterns may, however, respond differently to parameter variations and, specifically, to tuning of…

神经元与认知 · 定量生物学 2023-06-16 Zhuojun Yu , Jonathan E. Rubin , Peter J. Thomas
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