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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…

Neurons and Cognition · Quantitative Biology 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.…

Disordered Systems and Neural Networks · Physics 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…

Neurons and Cognition · Quantitative Biology 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…

Chaotic Dynamics · Physics 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…

Chaotic Dynamics · Physics 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…

Neurons and Cognition · Quantitative Biology 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…

Neurons and Cognition · Quantitative Biology 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).…

Biological Physics · Physics 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…

Biological Physics · Physics 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…

Adaptation and Self-Organizing Systems · Physics 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…

Physics and Society · Physics 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…

Disordered Systems and Neural Networks · Physics 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…

Disordered Systems and Neural Networks · Physics 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…

Neurons and Cognition · Quantitative Biology 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…

Disordered Systems and Neural Networks · Physics 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,…

Probability · Mathematics 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…

Disordered Systems and Neural Networks · Physics 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…

Neurons and Cognition · Quantitative Biology 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…

Neurons and Cognition · Quantitative Biology 2023-06-16 Zhuojun Yu , Jonathan E. Rubin , Peter J. Thomas
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