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Characterization of real-world complex systems increasingly involves the study of their topological structure using graph theory. Among global network properties, small-world property, consisting in existence of relatively short paths…

社会与信息网络 · 计算机科学 2017-02-28 Jaroslav Hlinka , David Hartman , Milan Paluš

The characterization of coordinated activity in neuronal populations has received renewed interest in the light of advancing experimental techniques which allow recordings from multiple units simultaneously. Across both in vitro and in vivo…

神经元与认知 · 定量生物学 2015-06-16 Feraz Azhar , William S. Anderson

We investigate the collective dynamics of bursting neurons on clustered network. The clustered network is composed of subnetworks each presenting a small-world property, and in a given subnetwork each neuron has a probability to be…

混沌动力学 · 物理学 2010-12-22 C. A. S. Batista , R. V. Nunes , A. M. Batista , R. L. Viana , S. R. Lopes , T. Pereira

Recurrent networks of dynamic elements frequently exhibit emergent collective oscillations, which can display substantial regularity even when the individual elements are considerably noisy. How noise-induced dynamics at the local level…

适应与自组织系统 · 物理学 2017-01-04 Belen Sancristobal , Beatriz Rebollo , Pol Boada , Maria V. Sanchez-Vives , Jordi Garcia-Ojalvo

Neurophysiologists are nowadays able to record from a large number of extracellular electrodes and to extract, from the raw data, the sequences of action potentials or spikes generated by many neurons. Unfortunately these ''many neurons''…

应用统计 · 统计学 2026-04-22 Pierre Charitat , Ségolen Geffray , Christophe Pouzat

We study synaptically coupled neuronal networks to identify the role of coupling delays in network's synchronized behaviors. We consider a network of excitable, relaxation oscillator neurons where two distinct populations, one excitatory…

神经元与认知 · 定量生物学 2018-01-01 Hwayeon Ryu , Sue Ann Campbell

Cortical neurons are bistable; as a consequence their local field potentials can fluctuate between quiescent and active states, generating slow 0.5-2 Hz oscillations which are widely known as transitions between Up and Down States. Despite…

无序系统与神经网络 · 物理学 2015-06-05 Jorge Hidalgo , Luis F. Seoane , Jesus M. Cortes , Miguel A. Munoz

Understanding how multi-scale network structure influences circadian rhythms in the suprachiasmatic nucleus (SCN) is essential for uncovering the principles of rhythmic robustness and synchronization. Previous studies using synthetic SCN…

物理与社会 · 物理学 2026-03-10 Youhao Zhuo , Yingpeng Liu , Jiao Wu , Kesheng Xu , Muhua Zheng

Neurons are often connected, spatially and temporally, in phenomenal ways that promote wave propagation. Therefore, it is essential to analyze the emergent spatiotemporal patterns to understand the working mechanism of brain activity,…

斑图形成与孤子 · 物理学 2021-10-04 Argha Mondal , Chittaranjan Hens , Arnab Mondal , Chris G. Antonopoulos

Mesoscopic models of finite-size neuronal populations are crucial to understand the dynamics of neural networks in the brain, especially their fluctuations and response to stimuli. However, current theories to derive such models are based…

神经元与认知 · 定量生物学 2026-01-26 Nils E. Greven , Jonas Ranft , Tilo Schwalger

Spontaneous synchronization is a general phenomenon in which a large population of coupled oscillators of diverse natural frequencies self-organize to operate in unison. The phenomenon occurs in physical and biological systems over a wide…

统计力学 · 物理学 2021-03-31 Shamik Gupta , Romain Bachelard , Tarcisio Rocha Filho

In the last century, most sensorimotor studies of cortical neurons relied on average firing rates. Rate coding is efficient for fast sensorimotor processing that occurs within a few seconds. Much less is known about the neural mechanisms…

神经元与认知 · 定量生物学 2026-05-01 Terrence J. Sejnowski

We investigate different dynamical regimes of neuronal network in the CA3 area of the hippocampus. The proposed neuronal circuit includes two fast- and two slowly-spiking cells which are interconnected by means of dynamical synapses. On the…

神经元与认知 · 定量生物学 2015-11-20 Anastasia I. Lavrova , Michael A. Zaks , Lutz Schimansky-Geier

We study the dynamics of two neuronal populations weakly and mutually coupled in a multiplexed ring configuration. We simulate the neuronal activity with the stochastic FitzHugh-Nagumo (FHN) model. The two neuronal populations perceive…

适应与自组织系统 · 物理学 2021-03-17 M. Masoliver , C. Masoller , A. Zakharova

We present exact results, as well as some illustrative Monte Carlo simulations, concerning a stochastic network with weighted connections in which the fraction of nodes that are dynamically synchronized is a parameter. This allows one to…

无序系统与神经网络 · 物理学 2007-05-23 J. Marro , J. J. Torres , J. M. Cortes , B. Wemmenhove

Dynamics and function of neuronal networks are determined by their synaptic connectivity. Current experimental methods to analyze synaptic network structure on the cellular level, however, cover only small fractions of functional neuronal…

神经元与认知 · 定量生物学 2015-07-28 Yury V. Zaytsev , Abigail Morrison , Moritz Deger

A main goal in the analysis of a complex system is to infer its underlying network structure from time-series observations of its behaviour. The inference process is often done by using bi-variate similarity measures, such as the…

无序系统与神经网络 · 物理学 2019-09-06 Rodrigo A. García , Arturo C. Martí , Cecilia Cabeza , Nicolás Rubido

We report on the origin of synchronized bursting dynamics in various networks of neural spiking oscillators, when a certain threshold in coupling strength is exceeded. These ensembles synchronize at relatively low coupling strength and lose…

混沌动力学 · 物理学 2007-05-23 Mikhail V. Ivanchenko , Grigory V. Osipov , Vladimir D. Shalfeev , Jurgen Kurths

We study the dynamics of excitable integrate-and-fire neurons in a small-world network. At low densities $p$ of directed random connections, a localized transient stimulus results in either self-sustained persistent activity or in a brief…

斑图形成与孤子 · 物理学 2009-11-10 Alex Roxin , Hermann Riecke , Sara A. Solla

At the macroscale, the brain operates as a network of interconnected neuronal populations, which display rhythmic dynamics that support interareal communication. Understanding how stimulation of a particular brain area impacts such…

神经元与认知 · 定量生物学 2020-11-12 Lia Papadopoulos , Christopher W. Lynn , Demian Battaglia , Danielle S. Bassett