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Over the last years, increasing evidence has fuelled the hypothesis that Autism Spectrum Disorder (ASD) is a condition of altered brain functional connectivity. The great majority of these empirical studies rely on functional magnetic…

神经元与认知 · 定量生物学 2010-08-02 Pablo Barttfeld , Bruno Wicker , Sebastián Cukier , Silvana Navarta , Sergio Lew , Mariano Sigman

We propose a dynamical neural network model with a hierarchical and modular structure. The network architecture can be derived by minimizing an energy function that is originally designed based on two kinds of neurons with quite different…

神经元与认知 · 定量生物学 2026-04-14 Kazuyoshi Tsutsumi , Ernst Niebur

Many natural systems are organized as networks, in which the nodes (be they cells, individuals or populations) interact in a time-dependent fashion. The dynamic behavior of these networks depends on how these nodes are connected, which can…

神经元与认知 · 定量生物学 2015-06-22 Anca Radulescu , Sergio Verduzco-Flores

We present a study on the emergence of a variety of spatio temporal patterns among neurons that are connected in a multiplex framework, with neurons on two layers with different functional couplings. With the Hindmarsh-Rose model for the…

适应与自组织系统 · 物理学 2021-11-29 Umesh Kumar Verma , G. Ambika

Dynamical networks are powerful tools for modeling a broad range of complex systems, including financial markets, brains, and ecosystems. They encode how the basic elements (nodes) of these systems interact altogether (via links) and evolve…

物理与社会 · 物理学 2019-03-13 Edward Laurence , Nicolas Doyon , Louis J Dubé , Patrick Desrosiers

Cortical networks exhibit synchronized activity which often occurs in spontaneous events in the form of spike avalanches. Since synchronization has been causally linked to central aspects of brain function such as selective signal…

神经元与认知 · 定量生物学 2022-02-08 Maik Schünemann , Udo Ernst , Marc Kesseböhmer

Neural circuits exhibit structured connectivity, including an overrepresentation of reciprocal connections between neuron pairs. Despite important advances, a full understanding of how such partial symmetry in connectivity shapes neural…

The mathematical theory of pattern formation in electrically coupled networks of excitable neurons forced by small noise is presented in this work. Using the Freidlin-Wentzell large deviation theory for randomly perturbed dynamical systems…

斑图形成与孤子 · 物理学 2012-06-05 Georgi S. Medvedev , Svitlana Zhuravytska

Inhibitory neurons play a crucial role in maintaining persistent neuronal activity. Although connected extensively through electrical synapses (gap-junctions), these neurons also exhibit interactions through chemical synapses in certain…

神经元与认知 · 定量生物学 2021-04-08 R. Janaki , A. S. Vytheeswaran

Spiking Neural Networks (SNNs) are well known as a promising energy-efficient alternative to conventional artificial neural networks. Subject to the preconceived impression that SNNs are sparse firing, the analysis and optimization of…

神经与进化计算 · 计算机科学 2023-08-17 Man Yao , Jiakui Hu , Guangshe Zhao , Yaoyuan Wang , Ziyang Zhang , Bo Xu , Guoqi Li

Partial synchronization plays a crucial role in the functioning of neuronal networks: selective, coordinated activation of neurons enables information processing that flexibly adapts to a changing computational context. Since the structure…

神经元与认知 · 定量生物学 2025-06-17 Daniil Radushev , Olesia Dogonasheva , Boris Gutkin , Denis Zakharov

Temporal-network models have provided key insights into how time-varying connectivity shapes dynamical processes such as spreading. Among them, the activity-driven model is a widely used, analytically tractable benchmark. Yet many temporal…

物理与社会 · 物理学 2025-11-20 Zsófia Simon , Jari Saramäki

Striatal projection neurons form a sparsely-connected inhibitory network, and this arrangement may be essential for the appropriate temporal organization of behavior. Here we show that a simplified, sparse inhibitory network of…

神经元与认知 · 定量生物学 2016-06-29 David Angulo-Garcia , Joshua D. Berke , Alessandro Torcini

A computer model is described which is used to assess the dynamical complexity of a class of networks of spiking neurons with small-world properties. Networks are constructed by forming an initially segregated set of highly intra-connected…

生物物理 · 物理学 2009-11-13 Murray Shanahan

Networks of strongly-coupled neurons with random connectivity exhibit chaotic, asynchronous fluctuations. In previous work, we showed that when endowed with an additional low-rank connectivity consisting of the outer product of orthogonal…

神经元与认知 · 定量生物学 2021-06-09 Itamar Daniel Landau , Haim Sompolinsky

In this report, we investigate the synchronization of temporal activity in an electrically coupled neural network model. The electrical coupling is established by homotypic static gap-junctions (Connexin 43). Two distinct network…

神经元与认知 · 定量生物学 2007-05-23 Rajesh G Kavasseri , Radhakrishnan Nagarajan

For large fully connected neuron networks, we study the dynamics of homogenous assemblies of interacting neurons described by time elapsed models, indicating how the time elapsed since the last discharge construct the probability density of…

偏微分方程分析 · 数学 2016-11-21 Q Weng

Artificial Recurrent Neural Networks (RNNs) are widely used in neuroscience to model the collective activity of neurons during behavioral tasks. The high dimensionality of their parameter and activity spaces, however, often make it…

动力系统 · 数学 2025-10-16 Alice Marraffa , Renate Krause , Valerio Mante , George Haller

We study an abstracted model of neuronal activity via numerical simulation, and report spatiotemporal pattern formation and critical like dynamics. A population of pulse coupled, discretised, relaxation oscillators is simulated over…

神经元与认知 · 定量生物学 2019-04-24 Dionysios Georgiadis , Didier Sornette

Many neural systems display cascading behavior characterized by uninterrupted sequences of neuronal firing. This gap precludes an understanding of how variations in network structure manifest in neural dynamics and either support or impinge…

神经元与认知 · 定量生物学 2019-11-12 Harang Ju , Jason Z. Kim , Danielle S. Bassett