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The understanding of neural activity patterns is fundamentally linked to an understanding of how the brain's network architecture shapes dynamical processes. Established approaches rely mostly on deviations of a given network from certain…

神经元与认知 · 定量生物学 2014-09-19 Marc-Thorsten Huett , Marcus Kaiser , Claus C. Hilgetag

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

We analyse a collection of empirical networks in a wide spectrum of disciplines and show that strong non-normality is ubiquitous in network science. Dynamical processes evolving on non-normal networks exhibit a peculiar behaviour, as…

适应与自组织系统 · 物理学 2018-11-09 Malbor Asllani , Renaud Lambiotte , Timoteo Carletti

This paper proposes an abstract mathematical frame for describing some features of cognitive and biological time. We focus here on the so called "extended present" as a result of protentional and retentional activities (memory and…

其他定量生物学 · 定量生物学 2012-04-09 Giuseppe Longo , Maël Montévil

We study the dynamics of the awakening during the night for healthy subjects and find that the wake and the sleep periods exhibit completely different behavior: the durations of wake periods are characterized by a scale-free power-law…

The characterization of the "most connected" nodes in static or slowly evolving complex networks has helped in understanding and predicting the behavior of social, biological, and technological networked systems, including their robustness…

物理与社会 · 物理学 2010-10-21 Scott A. Hill , Dan Braha

For the nervous system to work at all, a delicate balance of excitation and inhibition must be achieved. However, when such a balance is sought by global strategies, only few modes remain balanced close to instability, and all other modes…

神经元与认知 · 定量生物学 2013-05-29 Marcelo O. Magnasco , Oreste Piro , Guillermo A. Cecchi

The paper examines the discrete-time dynamics of neuron models (of excitatory and inhibitory types) with piecewise linear activation functions, which are connected in a network. The properties of a pair of neurons (one excitatory and the…

chao-dyn · 物理学 2007-05-23 Sitabhra Sinha

Persistent activity is postulated to drive neural network plasticity and learning. To investigate its underlying cellular mechanisms, we developed a biophysically tractable model that explains the emergence, sustenance, and eventual…

神经元与认知 · 定量生物学 2009-11-13 Vladislav Volman , Richard Gerkin , Pak-Ming Lau , Eshel Ben-Jacob , Guo-Qiang Bi

To be effective in sequential data processing, Recurrent Neural Networks (RNNs) are required to keep track of past events by creating memories. While the relation between memories and the network's hidden state dynamics was established over…

机器学习 · 计算机科学 2019-09-17 Doron Haviv , Alexander Rivkind , Omri Barak

We show that dynamical gain modulation of neurons' stimulus response is described as an information-theoretic cycle that generates entropy associated with the stimulus-related activity from entropy produced by the modulation. To articulate…

神经元与认知 · 定量生物学 2017-12-29 Hideaki Shimazaki

We introduce a cellular automaton model coupled with a transport equation for flows on graphs. The direction of the flow is described by a switching process where the switching probability dynamically changes according to the value of the…

元胞自动机与格子气 · 物理学 2013-07-02 Pierre Degond , Michael Herty , Jian-Guo Liu

Neurons can display highly variable dynamics. While such variability presumably supports the wide range of behaviors generated by the organism, their gene expressions are relatively stable in the adult brain. This suggests that neuronal…

神经元与认知 · 定量生物学 2023-11-07 Lu Mi , Trung Le , Tianxing He , Eli Shlizerman , Uygar Sümbül

This report proposes a neural cognitive model for discovering regularities in event sequences. In a fluid intelligence task, the subject is required to discover regularities from relatively short-term memory of the first-seen task. Some…

机器学习 · 计算机科学 2024-12-11 Naoya Arakawa

Learning with neural networks from a continuous stream of visual information presents several challenges due to the non-i.i.d. nature of the data. However, it also offers novel opportunities to develop representations that are consistent…

计算机视觉与模式识别 · 计算机科学 2024-09-19 Simone Marullo , Matteo Tiezzi , Marco Gori , Stefano Melacci

Characterizing the properties of an extended system driven by active reservoirs is a question of increasing importance. Here we address this question in two steps. We start by investigating the dynamics of a probe particle connected to an…

统计力学 · 物理学 2024-10-24 Ritwick Sarkar , Ion Santra , Urna Basu

In this review, we describe the singular success of attractor neural network models in describing how the brain maintains persistent activity states for working memory, error-corrects, and integrates noisy cues. We consider the mechanisms…

神经元与认知 · 定量生物学 2022-03-03 Mikail Khona , Ila R. Fiete

Sensory perception (e.g. vision) relies on a hierarchy of cortical areas, in which neural activity propagates in both directions, to convey information not only about sensory inputs but also about cognitive states, expectations and…

神经元与认知 · 定量生物学 2023-04-13 Grégory Faye , Guilhem Fouilhé , Rufin VanRullen

In this note, we present a hypothesis for the emergence of the phenomenon of sleep in organisms with sufficiently developed central nervous systems. We argue that sleep emerges because individual neurons must periodically enter a resting…

神经元与认知 · 定量生物学 2007-05-23 Emmanuel Tannenbaum

Novelty attracts attention like popularity. Hence predicting novelty is as important as popularity. Novelty is the side effect of competition and aging in evolving systems. Recent behavior or recent link gain in networks plays an important…

社会与信息网络 · 计算机科学 2017-06-13 Khushnood Abbas