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Many natural systems including the brain comprise coupled non-uniformly stimulated elements. In this paper we show that heterogeneously driven networks of excitatory-inhibitory units exhibit striking collective phenomena, including…

适应与自组织系统 · 物理学 2016-03-23 Varsha Sreenivasan , Shakti N. Menon , Sitabhra Sinha

How natural communication sounds are spatially represented across the inferior colliculus, the main center of convergence for auditory information in the midbrain, is not known. The neural representation of the acoustic stimuli results from…

神经元与认知 · 定量生物学 2016-07-01 Dominika Lyzwa , Florentin Wörgötter

We present a neural network approach for closed-loop deep brain stimulation (DBS). We cast the problem of finding an optimal neurostimulation strategy as a control problem. In this setting, control policies aim to optimize therapeutic…

最优化与控制 · 数学 2023-11-14 Malvern Madondo , Deepanshu Verma , Lars Ruthotto , Nicholas Au Yong

Higher-order networks encode the many-body interactions of complex systems ranging from the brain to biological transportation networks. Simplicial and cell complexes are ideal higher-order network representations for investigating…

物理与社会 · 物理学 2026-02-18 Runyue Wang , Timoteo Carletti , Ginestra Bianconi

The dynamics of three mutually coupled cortical neurons with time delays in the coupling are explored numerically and analytically. The neurons are coupled in a line, with the middle neuron sending a somewhat stronger projection to the…

混沌动力学 · 物理学 2011-01-25 Alexandra S. Landsman , Ira B. Schwartz

Different collective behaviors emerging from the unknown have been examined in networks of mobile agents in recent years. Mobile systems, far from being limited to modeling and studying various natural and artificial systems in motion and…

Synchronization phenomena are pervasive in biology. In neuronal networks, the mechanisms of synchronization have been extensively studied from both physiological and computational viewpoints. The functional role of synchronization has also…

神经元与认知 · 定量生物学 2009-06-18 Nicolas Tabareau , Jean-Jacques Slotine , Quang-Cuong Pham

Insight into how information can propagate within cortical networks is essential for a more complete understanding of neural dynamics and computation in complex networks. Networks with clustered connections have previously been shown to…

神经元与认知 · 定量生物学 2025-08-19 Abhijit Chakraborty , Greg Morrison

This report is concerned with the relevance of the microscopic rules, that implement individual neuronal activation, in determining the collective dynamics, under variations of the network topology. To fix ideas we study the dynamics of two…

The Hodgkin-Huxley equations constitute one of the more realistic neuronal models in literature and the most accepted one. It is well known that, depending on the value of the external stimuli current, it exhibits periodic solutions, both…

动力系统 · 数学 2015-11-09 A. Balti , V. Lanza , M. A. Aziz-Alaou

Recurrent Neural Network models have elucidated the interplay between structure and dynamics in biological neural networks, particularly the emergence of irregular and rhythmic activities in cortex. However, most studies have focused on…

神经元与认知 · 定量生物学 2025-09-04 Nimrod Sherf , Xaq Pitkow , Krešimir Josić , Kevin E. Bassler

The concept of spin torque driven high frequency magnetization dynamics has opened up the field of spintronics to non-linear physics, potentially in complex networks of dynamical systems. In the scarce demonstrations of synchronized…

介观与纳米尺度物理 · 物理学 2017-12-21 R. Lebrun , S. Tsunegi , P. Bortolotti , H. Kubota , A. S. Jenkins , M. Romera , K. Yakushiji , A. Fukushima , J. Grollier , S. Yuasa , V. Cros

Active solids, more specifically elastic lattices embedded with polar active units, exhibit collective actuation when the elasto-active feedback, generically present in such systems, exceeds some critical value. The dynamics then…

软凝聚态物质 · 物理学 2025-11-21 Davi Lazzari , Olivier Dauchot , Carolina Brito

Human cognition emerges from coordinated spiking dynamics in distributed neural circuits, where information is encoded via both firing rates and precise spike timing determined by brain rhythms. Inspired by this notion, we propose a…

神经元与认知 · 定量生物学 2026-05-05 Tingting Dan , Guorong Wu

In the past decade, the cell-type specific connectivity and activity of local cortical networks have been characterized experimentally to some detail. In parallel, modeling has been established as a tool to relate network structure to…

神经元与认知 · 定量生物学 2011-06-29 Tobias C. Potjans , Markus Diesmann

The effects of disorder in external forces on the dynamical behavior of coupled nonlinear oscillator networks are studied. When driven synchronously, i.e., all driving forces have the same phase, the networks display chaotic dynamics. We…

混沌动力学 · 物理学 2009-11-11 Sebastian F. Brandt , Babette K. Dellen , Ralf Wessel

We have studied effects of perturbations on the cat cerebral cortex. According to the literature, this cortex structure can be described by a clustered network. This way, we construct a clustered network with the same number of areas as in…

Connectivity patterns of relevance in neuroscience and systems biology can be encoded in hierarchical modular networks (HMNs). Moreover, recent studies highlight the role of hierarchical modular organization in shaping brain activity…

无序系统与神经网络 · 物理学 2017-11-22 Ali Safari , Paolo Moretti , Miguel A. Muñoz

Even when driven by the same stimulus, neuronal responses are well-known to exhibit a striking level of spiking variability. In-vivo electrophysiological recordings also reveal a surprisingly large degree of variability at the subthreshold…

神经元与认知 · 定量生物学 2025-03-19 Logan A. Becker , Francois Baccelli , Thibaud Taillefumier

Discussions of the hippocampus often focus on place cells, but many neurons are not place cells in any given environment. Here we describe the collective activity in such mixed populations, treating place and non-place cells on the same…

神经元与认知 · 定量生物学 2019-01-01 Leenoy Meshulam , Jeffrey L. Gauthier , Carlos D. Brody , David W. Tank , William Bialek